ENDFB6 LIBRARY, DUMMY TAPE HEADER 1.000000+3 9.992420-1 -1 0 0 1 100 1451 1 0.000000+0 0.000000+0 0 0 0 6 100 1451 2 0.000000+0 0.000000+0 0 0 3 6 100 1451 3 0.000000+0 0.000000+0 0 0 112 13 100 1451 4 1-H - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 100 1451 6 ----ENDF/B-VI MATERIAL 100 100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 100 1451 8 ------ENDF-6 FORMAT 100 1451 9 ================================================================= 100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 100 1451 11 ENDF/B-VI FORMAT 100 1451 12 ================================================================= 100 1451 13 CONTENTS 100 1451 14 ================================================================= 100 1451 15 MF/MT DESCRIPTION 100 1451 16 ================================================================= 100 1451 17 23/501 TOTAL CROSS SECTION 100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 100 1451 25 ================================================================= 100 1451 26 27/502 COHERENT SCATTERING FORM FACTORS 100 1451 27 27/504 INCOHERENT SCATTERING FUNCTIONS 100 1451 28 27/505 COHERENT IMAGINARY SCATTERING FACTOR 100 1451 29 27/506 COHERENT REAL SCATTERING FACTOR 100 1451 30 ================================================================= 100 1451 31 WARNING 100 1451 32 ================================================================= 100 1451 33 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 100 1451 34 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 100 1451 35 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 100 1451 36 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 100 1451 37 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 100 1451 38 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 100 1451 39 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 100 1451 40 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 100 1451 41 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 100 1451 42 ================================================================= 100 1451 43 DEFINITION OF NEW TYPES OF DATA 100 1451 44 ================================================================= 100 1451 45 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 100 1451 46 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 100 1451 47 100 1451 48 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 100 1451 49 C2 FIELDS ARE, 100 1451 50 100 1451 51 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 100 1451 52 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 100 1451 53 100 1451 54 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 100 1451 55 100 1451 56 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 100 1451 57 100 1451 58 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 100 1451 59 T = THE THOMSON CROSS SECTION 100 1451 60 MU = THE COSINE OF THE SCATTERING ANGLE 100 1451 61 FF(M) = THE ATOMIC FORM FACTOR 100 1451 62 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 100 1451 63 F1(E) = THE REAL SCATTERING FACTOR 100 1451 64 F2(E) = THE IMAGINARY SCATTERING FACTOR 100 1451 65 100 1451 66 F1(E) AND F2(E) ARE ISOTROPIC. 100 1451 67 100 1451 68 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 100 1451 69 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 100 1451 70 ================================================================= 100 1451 71 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 100 1451 72 ================================================================= 100 1451 73 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 100 1451 74 HERE - 10 EV TO 100 MEV 100 1451 75 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 100 1451 76 - FLUORESCENCE AND ELECTRON SPECTRA 100 1451 77 HERE - PHOTON INTERACTION 100 1451 78 - AVERAGE FLUORESCENCE YIELD 100 1451 79 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 100 1451 80 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 100 1451 81 HERE - NO SECONDARY ENERGY DATA 100 1451 82 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 100 1451 83 INTERPOLABLE - SUMMATION CROSS SECTIONS 100 1451 84 (E.G., TOTAL) ARE NOT INCLUDED 100 1451 85 - FORM FACTORS ARE LOG X VS. LOG Y 100 1451 86 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 100 1451 87 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 100 1451 88 ORDER TO ALLOW CROSS SECTIONS DEFINED 100 1451 89 BY SUMMATION (E.G., TOTAL) TO BE 100 1451 90 CONSISTENTLY DEFINED AT ALL ENERGIES. 100 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 100 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 100 1451 93 ================================================================= 100 1451 94 REFERENCES 100 1451 95 ================================================================= 100 1451 96 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 100 1451 97 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 100 1451 98 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 100 1451 99 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 100 1451 100 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 100 1451 101 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 100 1451 102 100 1451 103 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 100 1451 104 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 100 1451 105 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 100 1451 106 OF THE DATA, ETC. 100 1451 107 ================================================================= 100 1451 108 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 100 1451 109 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 100 1451 110 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 100 1451 111 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 100 1451 112 *RECONSTRUCTED MT NUMBERS 100 1451 113 516 =+(515,515)+(517,517) 100 1451 114 522 =+(534,572) 100 1451 115 501 =+(502,502)+(504,504)+(516,516)+(522,522) 100 1451 116 1 451 129 1 100 1451 117 23 501 164 1 100 1451 118 23 502 54 1 100 1451 119 23 504 26 1 100 1451 120 23 515 19 1 100 1451 121 23 516 42 1 100 1451 122 23 517 27 1 100 1451 123 23 522 71 1 100 1451 124 23 534 71 1 100 1451 125 27 502 33 1 100 1451 126 27 504 27 1 100 1451 127 27 505 76 1 100 1451 128 27 506 77 1 100 1451 129 100 1 0 130 100 0 0 131 1.000000+3 9.992420-1 0 0 0 0 10023501 132 0.000000+0 0.000000+0 0 0 1 483 10023501 133 483 2 0 0 0 0 10023501 134 1.000000+1 1.157660-1 1.037610+1 1.505430-1 1.076640+1 1.957680-1 10023501 135 1.105010+1 2.420540-1 1.134120+1 2.992830-1 1.154780+1 3.566010-1 10023501 136 1.166300+1 3.885610-1 1.177230+1 4.238880-1 1.205090+1 5.532700-1 10023501 137 1.229500+1 6.951800-1 1.241890+1 7.792510-1 1.266070+1 1.033980+0 10023501 138 1.274230+1 1.136200+0 1.290390+1 1.419470+0 1.307350+1 1.868760+0 10023501 139 1.317660+1 2.285910+0 1.325930+1 2.779240+0 1.332420+1 3.356440+0 10023501 140 1.337890+1 4.066380+0 1.343200+1 5.020700+0 1.353930+1 7.566960+0 10023501 141 1.361000+1 8.993550+0 1.361000+1 6.307830+6 1.361280+1 6.304810+6 10023501 142 1.367170+1 6.241280+6 1.372620+1 6.182490+6 1.384450+1 6.054880+6 10023501 143 1.390750+1 5.986930+6 1.402570+1 5.859430+6 1.407860+1 5.802370+6 10023501 144 1.423250+1 5.636360+6 1.438750+1 5.469170+6 1.462010+1 5.218280+6 10023501 145 1.485280+1 4.967270+6 1.534430+1 4.574610+6 1.576840+1 4.235800+6 10023501 146 1.597970+1 4.066990+6 1.688590+1 3.524360+6 1.691000+1 3.509920+6 10023501 147 1.733560+1 3.255070+6 1.828400+1 2.838040+6 1.885450+1 2.587170+6 10023501 148 1.938830+1 2.407060+6 1.988080+1 2.240880+6 1.996580+1 2.212200+6 10023501 149 2.100550+1 1.934790+6 2.138600+1 1.833260+6 2.296760+1 1.501000+6 10023501 150 2.309400+1 1.480260+6 2.385320+1 1.355710+6 2.461690+1 1.230410+6 10023501 151 2.590160+1 1.075070+6 2.690820+1 9.533620+5 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1.331970+1-3.229920+0 1.332870+1-3.262470+0 1.333740+1-3.295430+0 10027506 772 1.335000+1-3.345260+0 1.336200+1-3.395630+0 1.337340+1-3.446280+0 10027506 773 1.338440+1-3.497330+0 1.339830+1-3.564800+0 1.341130+1-3.631320+0 10027506 774 1.342350+1-3.696420+0 1.344050+1-3.788700+0 1.345600+1-3.876020+0 10027506 775 1.347470+1-3.980430+0 1.349850+1-4.107880+0 1.352460+1-4.232990+0 10027506 776 1.355400+1-4.341750+0 1.361280+1-4.408910+0 1.367170+1-4.271880+0 10027506 777 1.372620+1-3.993000+0 1.377840+1-3.670970+0 1.384450+1-3.296050+0 10027506 778 1.390750+1-2.996550+0 1.402570+1-2.609350+0 1.423250+1-2.177540+0 10027506 779 1.438750+1-1.941800+0 1.462010+1-1.666160+0 1.485280+1-1.458530+0 10027506 780 1.513450+1-1.256440+0 1.555710+1-1.004950+0 1.576840+1-9.026940-1 10027506 781 1.665770+1-5.922320-1 1.716610+1-4.541550-1 1.809510+1-2.794520-1 10027506 782 1.847480+1-2.154470-1 1.866470+1-1.885680-1 1.904970+1-1.516500-1 10027506 783 1.973300+1-7.292490-2 2.003190+1-4.182740-2 2.012800+1-3.284120-2 10027506 784 2.027210+1-2.078420-2 2.034420+1-1.574390-2 2.038020+1-1.367790-2 10027506 785 2.039820+1-1.286030-2 2.042840+1-1.226650-2 2.045260+1-1.125730-2 10027506 786 2.050030+1-8.605350-3 2.068490+1 4.216010-3 2.133110+1 5.339230-2 10027506 787 2.165420+1 7.525070-2 2.181570+1 8.441430-2 2.217960+1 9.793790-2 10027506 788 2.324190+1 1.504170-1 2.448060+1 1.852240-1 2.530870+1 1.975470-1 10027506 789 2.650830+1 2.237620-1 2.889500+1 2.403790-1 3.277570+1 2.450960-1 10027506 790 3.751920+1 2.359360-1 4.560600+1 2.083810-1 5.956330+1 1.583680-1 10027506 791 7.019630+1 1.311290-1 7.980650+1 1.108890-1 9.192520+1 9.129580-2 10027506 792 1.063440+2 7.399880-2 1.152810+2 6.579450-2 1.332080+2 5.300090-2 10027506 793 1.536410+2 4.245330-2 1.752580+2 3.434810-2 1.863520+2 3.101970-2 10027506 794 2.100310+2 2.546890-2 2.286500+2 2.219080-2 2.615310+2 1.773260-2 10027506 795 2.777310+2 1.599580-2 2.989120+2 1.411320-2 3.205690+2 1.250430-2 10027506 796 3.456210+2 1.097910-2 3.987890+2 8.381240-3 4.310310+2 7.173670-3 10027506 797 4.544970+2 6.451720-3 4.843470+2 5.680680-3 5.221370+2 4.887890-3 10027506 798 5.854120+2 3.888090-3 6.259340+2 3.400850-3 6.636860+2 3.024880-3 10027506 799 7.460660+2 2.393640-3 8.027550+2 2.067470-3 8.657300+2 1.777590-3 10027506 800 9.695760+2 1.417170-3 1.044270+3 1.221660-3 1.170820+3 9.718260-4 10027506 801 1.251870+3 8.500610-4 1.327370+3 7.561000-4 1.492130+3 5.983350-4 10027506 802 1.619500+3 5.079160-4 1.731460+3 4.443540-4 1.939150+3 3.542640-4 10027506 803 2.088550+3 3.053940-4 2.341650+3 2.429430-4 2.503740+3 2.125050-4 10027506 804 2.654740+3 1.890170-4 2.871000+3 1.616140-4 3.196360+3 1.303860-4 10027506 805 3.380700+3 1.165540-4 3.590020+3 1.033580-4 3.858390+3 8.948030-5 10027506 806 4.087590+3 7.972660-5 4.384490+3 6.929440-5 4.867260+3 5.622970-5 10027506 807 5.456600+3 4.473910-5 5.844940+3 3.899140-5 6.191140+3 3.475250-5 10027506 808 6.925840+3 2.777010-5 7.498411+3 2.369080-5 8.000000+3 2.081300-5 10027506 809 8.938781+3 1.667060-5 9.624630+3 1.437920-5 1.030010+4 1.255480-5 10027506 810 1.094710+4 1.111460-5 1.157630+4 9.938980-6 1.239520+4 8.668990-6 10027506 811 1.321680+4 7.624540-6 1.418710+4 6.617100-6 1.510900+4 5.834090-6 10027506 812 1.620630+4 5.070610-6 1.742140+4 4.387760-6 1.941710+4 3.531910-6 10027506 813 2.088550+4 3.052560-6 2.341650+4 2.428070-6 2.503740+4 2.123700-6 10027506 814 2.668380+4 1.869550-6 2.861960+4 1.625030-6 3.093520+4 1.390660-6 10027506 815 3.271010+4 1.243700-6 3.590020+4 1.032260-6 3.869980+4 8.881240-7 10027506 816 4.087590+4 7.959430-7 4.395610+4 6.881210-7 4.873410+4 5.595560-7 10027506 817 5.456600+4 4.460710-7 5.844940+4 3.885940-7 6.191140+4 3.462060-7 10027506 818 6.925840+4 2.763820-7 7.498500+4 2.355830-7 8.000000+4 2.068110-7 10027506 819 8.936040+4 1.654890-7 9.533740+4 1.452280-7 1.008940+5 1.295280-7 10027506 820 1.103290+5 1.081060-7 1.212800+5 8.923340-8 1.304720+5 7.692170-8 10027506 821 1.455830+5 6.152000-8 1.540580+5 5.479550-8 1.686950+5 4.547770-8 10027506 822 1.855130+5 3.737540-8 1.997130+5 3.206650-8 2.230780+5 2.543670-8 10027506 823 2.488670+5 2.017630-8 2.655000+5 1.756580-8 2.845560+5 1.511940-8 10027506 824 3.028740+5 1.318960-8 3.241860+5 1.134310-8 3.486430+5 9.627100-9 10027506 825 3.779810+5 7.991870-9 3.993880+5 7.019170-9 4.288840+5 5.909940-9 10027506 826 4.456040+5 5.376660-9 4.845200+5 4.342270-9 5.166140+5 3.659140-9 10027506 827 5.608210+5 2.903280-9 5.972600+5 2.402240-9 6.224130+5 2.106510-9 10027506 828 6.886740+5 1.476640-9 7.528970+5 1.017900-9 8.082610+5 7.06986-10 10027506 829 8.990330+5 3.16010-10 1.000000+6 0.000000+0 1.000000+8 0.000000+0 10027506 830 10027 0 831 100 0 0 832 0 0 0 833 2.000000+3 3.968220+0 -1 0 0 1 200 1451 1 0.000000+0 0.000000+0 0 0 0 6 200 1451 2 0.000000+0 0.000000+0 0 0 3 6 200 1451 3 0.000000+0 0.000000+0 0 0 112 13 200 1451 4 2-HE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 200 1451 6 ----ENDF/B-VI MATERIAL 200 200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 200 1451 8 ------ENDF-6 FORMAT 200 1451 9 ================================================================= 200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 200 1451 11 ENDF/B-VI FORMAT 200 1451 12 ================================================================= 200 1451 13 CONTENTS 200 1451 14 ================================================================= 200 1451 15 MF/MT DESCRIPTION 200 1451 16 ================================================================= 200 1451 17 23/501 TOTAL CROSS SECTION 200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 200 1451 25 ================================================================= 200 1451 26 27/502 COHERENT SCATTERING FORM FACTORS 200 1451 27 27/504 INCOHERENT SCATTERING FUNCTIONS 200 1451 28 27/505 COHERENT IMAGINARY SCATTERING FACTOR 200 1451 29 27/506 COHERENT REAL SCATTERING FACTOR 200 1451 30 ================================================================= 200 1451 31 WARNING 200 1451 32 ================================================================= 200 1451 33 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 200 1451 34 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 200 1451 35 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 200 1451 36 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 200 1451 37 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 200 1451 38 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 200 1451 39 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 200 1451 40 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 200 1451 41 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 200 1451 42 ================================================================= 200 1451 43 DEFINITION OF NEW TYPES OF DATA 200 1451 44 ================================================================= 200 1451 45 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 200 1451 46 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 200 1451 47 200 1451 48 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 200 1451 49 C2 FIELDS ARE, 200 1451 50 200 1451 51 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 200 1451 52 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 200 1451 53 200 1451 54 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 200 1451 55 200 1451 56 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 200 1451 57 200 1451 58 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 200 1451 59 T = THE THOMSON CROSS SECTION 200 1451 60 MU = THE COSINE OF THE SCATTERING ANGLE 200 1451 61 FF(M) = THE ATOMIC FORM FACTOR 200 1451 62 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 200 1451 63 F1(E) = THE REAL SCATTERING FACTOR 200 1451 64 F2(E) = THE IMAGINARY SCATTERING FACTOR 200 1451 65 200 1451 66 F1(E) AND F2(E) ARE ISOTROPIC. 200 1451 67 200 1451 68 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 200 1451 69 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 200 1451 70 ================================================================= 200 1451 71 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 200 1451 72 ================================================================= 200 1451 73 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 200 1451 74 HERE - 10 EV TO 100 MEV 200 1451 75 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 200 1451 76 - FLUORESCENCE AND ELECTRON SPECTRA 200 1451 77 HERE - PHOTON INTERACTION 200 1451 78 - AVERAGE FLUORESCENCE YIELD 200 1451 79 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 200 1451 80 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 200 1451 81 HERE - NO SECONDARY ENERGY DATA 200 1451 82 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 200 1451 83 INTERPOLABLE - SUMMATION CROSS SECTIONS 200 1451 84 (E.G., TOTAL) ARE NOT INCLUDED 200 1451 85 - FORM FACTORS ARE LOG X VS. LOG Y 200 1451 86 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 200 1451 87 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 200 1451 88 ORDER TO ALLOW CROSS SECTIONS DEFINED 200 1451 89 BY SUMMATION (E.G., TOTAL) TO BE 200 1451 90 CONSISTENTLY DEFINED AT ALL ENERGIES. 200 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 200 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 200 1451 93 ================================================================= 200 1451 94 REFERENCES 200 1451 95 ================================================================= 200 1451 96 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 200 1451 97 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 200 1451 98 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 200 1451 99 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 200 1451 100 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 200 1451 101 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 200 1451 102 200 1451 103 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 200 1451 104 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 200 1451 105 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 200 1451 106 OF THE DATA, ETC. 200 1451 107 ================================================================= 200 1451 108 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 200 1451 109 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 200 1451 110 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 200 1451 111 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 200 1451 112 *RECONSTRUCTED MT NUMBERS 200 1451 113 516 =+(515,515)+(517,517) 200 1451 114 522 =+(534,572) 200 1451 115 501 =+(502,502)+(504,504)+(516,516)+(522,522) 200 1451 116 1 451 129 1 200 1451 117 23 501 156 1 200 1451 118 23 502 53 1 200 1451 119 23 504 22 1 200 1451 120 23 515 19 1 200 1451 121 23 516 41 1 200 1451 122 23 517 27 1 200 1451 123 23 522 67 1 200 1451 124 23 534 67 1 200 1451 125 27 502 43 1 200 1451 126 27 504 32 1 200 1451 127 27 505 70 1 200 1451 128 27 506 75 1 200 1451 129 200 1 0 130 200 0 0 131 2.000000+3 3.968220+0 0 0 0 0 20023501 132 0.000000+0 0.000000+0 0 0 1 457 20023501 133 457 2 0 0 0 0 20023501 134 1.000000+1 1.724230-2 1.065730+1 2.330560-2 1.122600+1 2.980960-2 20023501 135 1.154780+1 3.431170-2 1.186910+1 3.880730-2 1.268950+1 5.326120-2 20023501 136 1.312080+1 6.239780-2 1.388240+1 8.423130-2 1.476380+1 1.168550-1 20023501 137 1.512470+1 1.336820-1 1.546140+1 1.493810-1 1.620620+1 1.983890-1 20023501 138 1.687310+1 2.530150-1 1.721680+1 2.857350-1 1.776600+1 3.589620-1 20023501 139 1.851350+1 4.842920-1 1.917910+1 6.260280-1 1.952090+1 7.117680-1 20023501 140 1.988110+1 8.480750-1 2.043390+1 1.103010+0 2.100200+1 1.434610+0 20023501 141 2.136910+1 1.783350+0 2.174260+1 2.216880+0 2.211290+1 2.879040+0 20023501 142 2.239000+1 3.648810+0 2.256470+1 4.283120+0 2.273590+1 5.200280+0 20023501 143 2.287090+1 6.278100+0 2.298280+1 7.627710+0 2.308860+1 9.497630+0 20023501 144 2.322810+1 1.290480+1 2.332360+1 1.541380+1 2.341620+1 1.729470+1 20023501 145 2.342000+1 1.733680+1 2.342000+1 8.189480+6 2.350880+1 8.138000+6 20023501 146 2.354760+1 8.115510+6 2.359460+1 8.088260+6 2.372880+1 8.010460+6 20023501 147 2.402740+1 7.837360+6 2.430380+1 7.677130+6 2.478750+1 7.396720+6 20023501 148 2.536760+1 7.060430+6 2.551290+1 6.997050+6 2.623840+1 6.680590+6 20023501 149 2.741760+1 6.166240+6 2.859680+1 5.651890+6 3.132700+1 4.806240+6 20023501 150 3.223710+1 4.524350+6 3.607640+1 3.570110+6 3.652640+1 3.486810+6 20023501 151 3.751470+1 3.303890+6 3.895310+1 3.037650+6 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================================================================= 300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 300 1451 11 ENDF/B-VI FORMAT 300 1451 12 ================================================================= 300 1451 13 CONTENTS 300 1451 14 ================================================================= 300 1451 15 MF/MT DESCRIPTION 300 1451 16 ================================================================= 300 1451 17 23/501 TOTAL CROSS SECTION 300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 300 1451 26 ================================================================= 300 1451 27 27/502 COHERENT SCATTERING FORM FACTORS 300 1451 28 27/504 INCOHERENT SCATTERING FUNCTIONS 300 1451 29 27/505 COHERENT IMAGINARY SCATTERING FACTOR 300 1451 30 27/506 COHERENT REAL SCATTERING FACTOR 300 1451 31 ================================================================= 300 1451 32 WARNING 300 1451 33 ================================================================= 300 1451 34 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 300 1451 35 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 300 1451 36 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 300 1451 37 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 300 1451 38 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 300 1451 39 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 300 1451 40 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 300 1451 41 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 300 1451 42 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 300 1451 43 ================================================================= 300 1451 44 DEFINITION OF NEW TYPES OF DATA 300 1451 45 ================================================================= 300 1451 46 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 300 1451 47 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 300 1451 48 300 1451 49 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 300 1451 50 C2 FIELDS ARE, 300 1451 51 300 1451 52 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 300 1451 53 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 300 1451 54 300 1451 55 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 300 1451 56 300 1451 57 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 300 1451 58 300 1451 59 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 300 1451 60 T = THE THOMSON CROSS SECTION 300 1451 61 MU = THE COSINE OF THE SCATTERING ANGLE 300 1451 62 FF(M) = THE ATOMIC FORM FACTOR 300 1451 63 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 300 1451 64 F1(E) = THE REAL SCATTERING FACTOR 300 1451 65 F2(E) = THE IMAGINARY SCATTERING FACTOR 300 1451 66 300 1451 67 F1(E) AND F2(E) ARE ISOTROPIC. 300 1451 68 300 1451 69 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 300 1451 70 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 300 1451 71 ================================================================= 300 1451 72 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 300 1451 73 ================================================================= 300 1451 74 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 300 1451 75 HERE - 10 EV TO 100 MEV 300 1451 76 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 300 1451 77 - FLUORESCENCE AND ELECTRON SPECTRA 300 1451 78 HERE - PHOTON INTERACTION 300 1451 79 - AVERAGE FLUORESCENCE YIELD 300 1451 80 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 300 1451 81 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 300 1451 82 HERE - NO SECONDARY ENERGY DATA 300 1451 83 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 300 1451 84 INTERPOLABLE - SUMMATION CROSS SECTIONS 300 1451 85 (E.G., TOTAL) ARE NOT INCLUDED 300 1451 86 - FORM FACTORS ARE LOG X VS. LOG Y 300 1451 87 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 300 1451 88 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 300 1451 89 ORDER TO ALLOW CROSS SECTIONS DEFINED 300 1451 90 BY SUMMATION (E.G., TOTAL) TO BE 300 1451 91 CONSISTENTLY DEFINED AT ALL ENERGIES. 300 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 300 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 300 1451 94 ================================================================= 300 1451 95 REFERENCES 300 1451 96 ================================================================= 300 1451 97 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 300 1451 98 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 300 1451 99 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 300 1451 100 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 300 1451 101 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 300 1451 102 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 300 1451 103 300 1451 104 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 300 1451 105 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 300 1451 106 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 300 1451 107 OF THE DATA, ETC. 300 1451 108 ================================================================= 300 1451 109 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 300 1451 110 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 300 1451 111 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 300 1451 112 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 300 1451 113 *RECONSTRUCTED MT NUMBERS 300 1451 114 516 =+(515,515)+(517,517) 300 1451 115 522 =+(534,572) 300 1451 116 501 =+(502,502)+(504,504)+(516,516)+(522,522) 300 1451 117 1 451 131 1 300 1451 118 23 501 182 1 300 1451 119 23 502 55 1 300 1451 120 23 504 24 1 300 1451 121 23 515 18 1 300 1451 122 23 516 41 1 300 1451 123 23 517 27 1 300 1451 124 23 522 91 1 300 1451 125 23 534 62 1 300 1451 126 23 535 67 1 300 1451 127 27 502 44 1 300 1451 128 27 504 35 1 300 1451 129 27 505 54 1 300 1451 130 27 506 60 1 300 1451 131 300 1 0 132 300 0 0 133 3.000000+3 6.881380+0 0 0 0 0 30023501 134 0.000000+0 0.000000+0 0 0 1 537 30023501 135 537 2 0 0 0 0 30023501 136 1.000000+1 1.259980+6 1.154780+1 1.084540+6 1.173470+1 1.063360+6 30023501 137 1.407860+1 8.768190+5 1.441290+1 8.502140+5 1.530560+1 7.791680+5 30023501 138 1.688590+1 6.851420+5 1.816890+1 6.088060+5 1.820940+1 6.069710+5 30023501 139 1.988080+1 5.312730+5 2.072420+1 4.930750+5 2.186400+1 4.547300+5 30023501 140 2.309400+1 4.133500+5 2.388190+1 3.868440+5 2.676670+1 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6.397470-7 30027506 901 3.929530+5 5.186310-7 4.075250+5 4.755520-7 4.420560+5 3.899420-7 30027506 902 4.795120+5 3.171830-7 5.071510+5 2.735120-7 5.516260+5 2.165310-7 30027506 903 6.000000+5 1.683670-7 6.568080+5 1.248280-7 7.111020+5 9.258610-8 30027506 904 7.378210+5 7.928070-8 8.191110+5 4.645470-8 9.048440+5 2.098940-8 30027506 905 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0 30027506 906 30027 0 907 300 0 0 908 0 0 0 909 4.000000+3 8.934770+0 -1 0 0 1 400 1451 1 0.000000+0 0.000000+0 0 0 0 6 400 1451 2 0.000000+0 0.000000+0 0 0 3 6 400 1451 3 0.000000+0 0.000000+0 0 0 113 14 400 1451 4 4-BE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 400 1451 6 ----ENDF/B-VI MATERIAL 400 400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 400 1451 8 ------ENDF-6 FORMAT 400 1451 9 ================================================================= 400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 400 1451 11 ENDF/B-VI FORMAT 400 1451 12 ================================================================= 400 1451 13 CONTENTS 400 1451 14 ================================================================= 400 1451 15 MF/MT DESCRIPTION 400 1451 16 ================================================================= 400 1451 17 23/501 TOTAL CROSS SECTION 400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 400 1451 26 ================================================================= 400 1451 27 27/502 COHERENT SCATTERING FORM FACTORS 400 1451 28 27/504 INCOHERENT SCATTERING FUNCTIONS 400 1451 29 27/505 COHERENT IMAGINARY SCATTERING FACTOR 400 1451 30 27/506 COHERENT REAL SCATTERING FACTOR 400 1451 31 ================================================================= 400 1451 32 WARNING 400 1451 33 ================================================================= 400 1451 34 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 400 1451 35 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 400 1451 36 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 400 1451 37 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 400 1451 38 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 400 1451 39 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 400 1451 40 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 400 1451 41 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 400 1451 42 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 400 1451 43 ================================================================= 400 1451 44 DEFINITION OF NEW TYPES OF DATA 400 1451 45 ================================================================= 400 1451 46 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 400 1451 47 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 400 1451 48 400 1451 49 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 400 1451 50 C2 FIELDS ARE, 400 1451 51 400 1451 52 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 400 1451 53 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 400 1451 54 400 1451 55 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 400 1451 56 400 1451 57 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 400 1451 58 400 1451 59 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 400 1451 60 T = THE THOMSON CROSS SECTION 400 1451 61 MU = THE COSINE OF THE SCATTERING ANGLE 400 1451 62 FF(M) = THE ATOMIC FORM FACTOR 400 1451 63 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 400 1451 64 F1(E) = THE REAL SCATTERING FACTOR 400 1451 65 F2(E) = THE IMAGINARY SCATTERING FACTOR 400 1451 66 400 1451 67 F1(E) AND F2(E) ARE ISOTROPIC. 400 1451 68 400 1451 69 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 400 1451 70 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 400 1451 71 ================================================================= 400 1451 72 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 400 1451 73 ================================================================= 400 1451 74 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 400 1451 75 HERE - 10 EV TO 100 MEV 400 1451 76 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 400 1451 77 - FLUORESCENCE AND ELECTRON SPECTRA 400 1451 78 HERE - PHOTON INTERACTION 400 1451 79 - AVERAGE FLUORESCENCE YIELD 400 1451 80 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 400 1451 81 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 400 1451 82 HERE - NO SECONDARY ENERGY DATA 400 1451 83 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 400 1451 84 INTERPOLABLE - SUMMATION CROSS SECTIONS 400 1451 85 (E.G., TOTAL) ARE NOT INCLUDED 400 1451 86 - FORM FACTORS ARE LOG X VS. LOG Y 400 1451 87 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 400 1451 88 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 400 1451 89 ORDER TO ALLOW CROSS SECTIONS DEFINED 400 1451 90 BY SUMMATION (E.G., TOTAL) TO BE 400 1451 91 CONSISTENTLY DEFINED AT ALL ENERGIES. 400 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 400 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 400 1451 94 ================================================================= 400 1451 95 REFERENCES 400 1451 96 ================================================================= 400 1451 97 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 400 1451 98 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 400 1451 99 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 400 1451 100 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 400 1451 101 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 400 1451 102 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 400 1451 103 400 1451 104 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 400 1451 105 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 400 1451 106 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 400 1451 107 OF THE DATA, ETC. 400 1451 108 ================================================================= 400 1451 109 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 400 1451 110 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 400 1451 111 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 400 1451 112 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 400 1451 113 *RECONSTRUCTED MT NUMBERS 400 1451 114 516 =+(515,515)+(517,517) 400 1451 115 522 =+(534,572) 400 1451 116 501 =+(502,502)+(504,504)+(516,516)+(522,522) 400 1451 117 1 451 131 1 400 1451 118 23 501 174 1 400 1451 119 23 502 54 1 400 1451 120 23 504 25 1 400 1451 121 23 515 18 1 400 1451 122 23 516 40 1 400 1451 123 23 517 27 1 400 1451 124 23 522 82 1 400 1451 125 23 534 58 1 400 1451 126 23 535 64 1 400 1451 127 27 502 45 1 400 1451 128 27 504 35 1 400 1451 129 27 505 52 1 400 1451 130 27 506 58 1 400 1451 131 400 1 0 132 400 0 0 133 4.000000+3 8.934770+0 0 0 0 0 40023501 134 0.000000+0 0.000000+0 0 0 1 512 40023501 135 512 2 0 0 0 0 40023501 136 1.000000+1 1.993180+6 1.218810+1 2.079910+6 1.264160+1 2.097890+6 40023501 137 1.394860+1 2.073200+6 1.464350+1 2.060070+6 1.640000+1 1.933780+6 40023501 138 1.695460+1 1.893900+6 1.825130+1 1.777480+6 1.876880+1 1.731020+6 40023501 139 2.070670+1 1.557030+6 2.191900+1 1.474720+6 2.576840+1 1.213340+6 40023501 140 2.649830+1 1.178150+6 3.000000+1 1.009300+6 3.128350+1 9.574020+5 40023501 141 3.134370+1 9.549670+5 3.464100+1 8.216360+5 3.617440+1 7.779230+5 40023501 142 4.000000+1 6.688640+5 4.326980+1 5.871360+5 4.342610+1 5.841260+5 40023501 143 4.732940+1 5.089440+5 4.868250+1 4.828810+5 5.060150+1 4.562400+5 40023501 144 5.533620+1 3.905080+5 5.647780+1 3.746590+5 5.999600+1 3.374770+5 40023501 145 6.384790+1 2.967680+5 6.816980+1 2.642910+5 7.239950+1 2.325070+5 40023501 146 7.319150+1 2.265560+5 8.182150+1 1.785900+5 8.195640+1 1.780520+5 40023501 147 8.256500+1 1.756250+5 8.794220+1 1.541870+5 9.003310+1 1.458510+5 40023501 148 9.045530+1 1.441680+5 9.386820+1 1.342320+5 9.518250+1 1.304060+5 40023501 149 9.788230+1 1.225460+5 9.976690+1 1.170590+5 1.000000+2 1.163810+5 40023501 150 1.020760+2 1.116460+5 1.032510+2 1.089670+5 1.045240+2 1.060640+5 40023501 151 1.054890+2 1.038630+5 1.069530+2 1.005240+5 1.084380+2 9.713779+4 40023501 152 1.106680+2 9.205250+4 1.110320+2 9.146220+4 1.113910+2 9.088020+4 40023501 153 1.120210+2 8.985870+4 1.126760+2 8.879670+4 1.131240+2 8.807040+4 40023501 154 1.136640+2 8.719490+4 1.139350+2 8.675550+4 1.142410+2 8.625950+4 40023501 155 1.147020+2 8.551220+4 1.151640+2 8.476340+4 1.155440+2 8.414760+4 40023501 156 1.156710+2 8.394179+4 1.159890+2 8.342670+4 1.163000+2 8.292300+4 40023501 157 1.165750+2 8.247790+4 1.168860+2 8.197470+4 1.171830+2 8.149450+4 40023501 158 1.176180+2 8.079160+4 1.183160+2 7.966410+4 1.183600+2 7.959300+4 40023501 159 1.183600+2 2.460490+6 1.187590+2 2.443540+6 1.191590+2 2.426530+6 40023501 160 1.197120+2 2.403030+6 1.205350+2 2.368050+6 1.211240+2 2.343010+6 40023501 161 1.218810+2 2.310830+6 1.222660+2 2.294470+6 1.228630+2 2.269090+6 40023501 162 1.244070+2 2.204100+6 1.252500+2 2.168610+6 1.295590+2 2.026180+6 40023501 163 1.319400+2 1.947470+6 1.382870+2 1.739430+6 1.394860+2 1.710700+6 40023501 164 1.437210+2 1.609240+6 1.531550+2 1.385260+6 1.566410+2 1.321970+6 40023501 165 1.640000+2 1.189580+6 1.641980+2 1.186010+6 1.698960+2 1.105230+6 40023501 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3.279760-7 40027506 876 7.682820+5 2.295650-7 8.226280+5 1.579820-7 9.197270+5 6.024600-8 40027506 877 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0 40027506 878 40027 0 879 400 0 0 880 0 0 0 881 5.000000+3 1.071710+1 -1 0 0 1 500 1451 1 0.000000+0 0.000000+0 0 0 0 6 500 1451 2 0.000000+0 0.000000+0 0 0 3 6 500 1451 3 0.000000+0 0.000000+0 0 0 115 16 500 1451 4 5-B - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 500 1451 6 ----ENDF/B-VI MATERIAL 500 500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 500 1451 8 ------ENDF-6 FORMAT 500 1451 9 ================================================================= 500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 500 1451 11 ENDF/B-VI FORMAT 500 1451 12 ================================================================= 500 1451 13 CONTENTS 500 1451 14 ================================================================= 500 1451 15 MF/MT DESCRIPTION 500 1451 16 ================================================================= 500 1451 17 23/501 TOTAL CROSS SECTION 500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 500 1451 28 ================================================================= 500 1451 29 27/502 COHERENT SCATTERING FORM FACTORS 500 1451 30 27/504 INCOHERENT SCATTERING FUNCTIONS 500 1451 31 27/505 COHERENT IMAGINARY SCATTERING FACTOR 500 1451 32 27/506 COHERENT REAL SCATTERING FACTOR 500 1451 33 ================================================================= 500 1451 34 WARNING 500 1451 35 ================================================================= 500 1451 36 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 500 1451 37 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 500 1451 38 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 500 1451 39 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 500 1451 40 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 500 1451 41 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 500 1451 42 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 500 1451 43 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 500 1451 44 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 500 1451 45 ================================================================= 500 1451 46 DEFINITION OF NEW TYPES OF DATA 500 1451 47 ================================================================= 500 1451 48 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 500 1451 49 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 500 1451 50 500 1451 51 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 500 1451 52 C2 FIELDS ARE, 500 1451 53 500 1451 54 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 500 1451 55 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 500 1451 56 500 1451 57 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 500 1451 58 500 1451 59 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 500 1451 60 500 1451 61 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 500 1451 62 T = THE THOMSON CROSS SECTION 500 1451 63 MU = THE COSINE OF THE SCATTERING ANGLE 500 1451 64 FF(M) = THE ATOMIC FORM FACTOR 500 1451 65 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 500 1451 66 F1(E) = THE REAL SCATTERING FACTOR 500 1451 67 F2(E) = THE IMAGINARY SCATTERING FACTOR 500 1451 68 500 1451 69 F1(E) AND F2(E) ARE ISOTROPIC. 500 1451 70 500 1451 71 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 500 1451 72 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 500 1451 73 ================================================================= 500 1451 74 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 500 1451 75 ================================================================= 500 1451 76 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 500 1451 77 HERE - 10 EV TO 100 MEV 500 1451 78 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 500 1451 79 - FLUORESCENCE AND ELECTRON SPECTRA 500 1451 80 HERE - PHOTON INTERACTION 500 1451 81 - AVERAGE FLUORESCENCE YIELD 500 1451 82 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 500 1451 83 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 500 1451 84 HERE - NO SECONDARY ENERGY DATA 500 1451 85 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 500 1451 86 INTERPOLABLE - SUMMATION CROSS SECTIONS 500 1451 87 (E.G., TOTAL) ARE NOT INCLUDED 500 1451 88 - FORM FACTORS ARE LOG X VS. LOG Y 500 1451 89 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 500 1451 90 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 500 1451 91 ORDER TO ALLOW CROSS SECTIONS DEFINED 500 1451 92 BY SUMMATION (E.G., TOTAL) TO BE 500 1451 93 CONSISTENTLY DEFINED AT ALL ENERGIES. 500 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 500 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 500 1451 96 ================================================================= 500 1451 97 REFERENCES 500 1451 98 ================================================================= 500 1451 99 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 500 1451 100 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 500 1451 101 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 500 1451 102 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 500 1451 103 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 500 1451 104 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 500 1451 105 500 1451 106 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 500 1451 107 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 500 1451 108 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 500 1451 109 OF THE DATA, ETC. 500 1451 110 ================================================================= 500 1451 111 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 500 1451 112 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 500 1451 113 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 500 1451 114 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 500 1451 115 *RECONSTRUCTED MT NUMBERS 500 1451 116 516 =+(515,515)+(517,517) 500 1451 117 522 =+(534,572) 500 1451 118 501 =+(502,502)+(504,504)+(516,516)+(522,522) 500 1451 119 1 451 135 1 500 1451 120 23 501 292 1 500 1451 121 23 502 60 1 500 1451 122 23 504 25 1 500 1451 123 23 515 18 1 500 1451 124 23 516 41 1 500 1451 125 23 517 27 1 500 1451 126 23 522 193 1 500 1451 127 23 534 57 1 500 1451 128 23 535 63 1 500 1451 129 23 536 77 1 500 1451 130 23 537 76 1 500 1451 131 27 502 44 1 500 1451 132 27 504 34 1 500 1451 133 27 505 53 1 500 1451 134 27 506 60 1 500 1451 135 500 1 0 136 500 0 0 137 5.000000+3 1.071710+1 0 0 0 0 50023501 138 0.000000+0 0.000000+0 0 0 1 865 50023501 139 865 2 0 0 0 0 50023501 140 1.000000+1 6.977510+6 1.085270+1 6.141810+6 1.115820+1 5.911250+6 50023501 141 1.154780+1 5.617230+6 1.167010+1 5.524930+6 1.224030+1 5.094610+6 50023501 142 1.227010+1 5.072120+6 1.237150+1 5.017390+6 1.243770+1 4.981650+6 50023501 143 1.253010+1 4.931780+6 1.258000+1 4.904840+6 1.258000+1 6.094750+6 50023501 144 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2.049760+2-4.005900+0 50027506 1234 2.097090+2-3.386850+0 2.168090+2-2.726780+0 2.239090+2-2.267560+0 50027506 1235 2.319670+2-1.866630+0 2.448780+2-1.342290+0 2.500970+2-1.169920+0 50027506 1236 2.582390+2-9.696570-1 2.724480+2-6.527470-1 2.806010+2-4.928980-1 50027506 1237 2.846780+2-4.245960-1 3.004110+2-2.269680-1 3.062400+2-1.601380-1 50027506 1238 3.091540+2-1.320270-1 3.138300+2-1.036460-1 3.270410+2 4.541310-3 50027506 1239 3.303440+2 3.002710-2 3.328210+2 4.757570-2 3.360730+2 6.768650-2 50027506 1240 3.386850+2 7.992480-2 3.426760+2 8.800700-2 3.470450+2 1.085790-1 50027506 1241 3.630380+2 1.965460-1 3.710340+2 2.341740-1 3.770310+2 2.532470-1 50027506 1242 3.790310+2 2.541180-1 4.084680+2 3.264140-1 4.339070+2 3.609350-1 50027506 1243 4.658240+2 4.209360-1 4.715080+2 4.266550-1 5.368920+2 4.379970-1 50027506 1244 5.881540+2 4.354110-1 1.046360+3 2.822840-1 1.273620+3 2.261120-1 50027506 1245 1.478190+3 1.878400-1 1.734780+3 1.520630-1 1.956810+3 1.284860-1 50027506 1246 2.236190+3 1.063750-1 2.586280+3 8.543240-2 2.756810+3 7.713790-2 50027506 1247 2.965840+3 6.879400-2 3.365430+3 5.611230-2 3.643250+3 4.946820-2 50027506 1248 3.951110+3 4.347150-2 4.379820+3 3.665600-2 4.955310+3 2.973940-2 50027506 1249 5.326700+3 2.632690-2 5.694640+3 2.347810-2 6.383570+3 1.925900-2 50027506 1250 6.964681+3 1.660790-2 7.939320+3 1.322640-2 8.421871+3 1.191270-2 50027506 1251 9.771380+3 9.015670-3 1.052240+4 7.772360-3 1.115610+4 6.905780-3 50027506 1252 1.208050+4 5.895240-3 1.296600+4 5.111760-3 1.365870+4 4.606710-3 50027506 1253 1.457950+4 4.044650-3 1.566410+4 3.502760-3 1.756240+4 2.785500-3 50027506 1254 1.877800+4 2.436580-3 1.991060+4 2.167260-3 2.238200+4 1.714630-3 50027506 1255 2.429260+4 1.455570-3 2.597190+4 1.273240-3 2.908730+4 1.014860-3 50027506 1256 3.141820+4 8.702970-4 3.512470+4 6.956980-4 3.755610+4 6.084750-4 50027506 1257 3.989090+4 5.394490-4 4.476400+4 4.280010-4 4.858470+4 3.632460-4 50027506 1258 5.194380+4 3.176600-4 5.828750+4 2.521550-4 6.154760+4 2.260420-4 50027506 1259 6.622290+4 1.951140-4 7.107010+4 1.694090-4 7.552379+4 1.499640-4 50027506 1260 8.087250+4 1.305360-4 8.626490+4 1.146310-4 9.127740+4 1.022940-4 50027506 1261 9.899520+4 8.694180-5 1.040010+5 7.859920-5 1.111210+5 6.874290-5 50027506 1262 1.189740+5 5.986060-5 1.283370+5 5.132810-5 1.370240+5 4.498140-5 50027506 1263 1.452900+5 3.986770-5 1.547020+5 3.509720-5 1.655920+5 3.049870-5 50027506 1264 1.766950+5 2.670240-5 1.896570+5 2.307420-5 2.011990+5 2.037110-5 50027506 1265 2.171360+5 1.736960-5 2.334270+5 1.491320-5 2.582390+5 1.202700-5 50027506 1266 2.787000+5 1.020600-5 2.949130+5 9.034340-6 3.258530+5 7.241010-6 50027506 1267 3.494590+5 6.181150-6 3.848540+5 4.944450-6 4.108300+5 4.232340-6 50027506 1268 4.531280+5 3.326740-6 4.848730+5 2.796220-6 5.259160+5 2.247480-6 50027506 1269 5.627850+5 1.854500-6 6.022760+5 1.510040-6 6.533410+5 1.154150-6 50027506 1270 6.992390+5 8.985440-7 7.484420+5 6.751090-7 8.120780+5 4.438800-7 50027506 1271 8.820400+5 2.458010-7 1.000000+6 0.000000+0 1.000000+8 0.000000+0 50027506 1272 50027 0 1273 500 0 0 1274 0 0 0 1275 6.000000+3 1.190780+1 -1 0 0 1 600 1451 1 0.000000+0 0.000000+0 0 0 0 6 600 1451 2 0.000000+0 0.000000+0 0 0 3 6 600 1451 3 0.000000+0 0.000000+0 0 0 115 16 600 1451 4 6-C - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 600 1451 6 ----ENDF/B-VI MATERIAL 600 600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 600 1451 8 ------ENDF-6 FORMAT 600 1451 9 ================================================================= 600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 600 1451 11 ENDF/B-VI FORMAT 600 1451 12 ================================================================= 600 1451 13 CONTENTS 600 1451 14 ================================================================= 600 1451 15 MF/MT DESCRIPTION 600 1451 16 ================================================================= 600 1451 17 23/501 TOTAL CROSS SECTION 600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 600 1451 28 ================================================================= 600 1451 29 27/502 COHERENT SCATTERING FORM FACTORS 600 1451 30 27/504 INCOHERENT SCATTERING FUNCTIONS 600 1451 31 27/505 COHERENT IMAGINARY SCATTERING FACTOR 600 1451 32 27/506 COHERENT REAL SCATTERING FACTOR 600 1451 33 ================================================================= 600 1451 34 WARNING 600 1451 35 ================================================================= 600 1451 36 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 600 1451 37 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 600 1451 38 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 600 1451 39 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 600 1451 40 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 600 1451 41 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 600 1451 42 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 600 1451 43 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 600 1451 44 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 600 1451 45 ================================================================= 600 1451 46 DEFINITION OF NEW TYPES OF DATA 600 1451 47 ================================================================= 600 1451 48 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 600 1451 49 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 600 1451 50 600 1451 51 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 600 1451 52 C2 FIELDS ARE, 600 1451 53 600 1451 54 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 600 1451 55 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 600 1451 56 600 1451 57 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 600 1451 58 600 1451 59 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 600 1451 60 600 1451 61 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 600 1451 62 T = THE THOMSON CROSS SECTION 600 1451 63 MU = THE COSINE OF THE SCATTERING ANGLE 600 1451 64 FF(M) = THE ATOMIC FORM FACTOR 600 1451 65 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 600 1451 66 F1(E) = THE REAL SCATTERING FACTOR 600 1451 67 F2(E) = THE IMAGINARY SCATTERING FACTOR 600 1451 68 600 1451 69 F1(E) AND F2(E) ARE ISOTROPIC. 600 1451 70 600 1451 71 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 600 1451 72 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 600 1451 73 ================================================================= 600 1451 74 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 600 1451 75 ================================================================= 600 1451 76 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 600 1451 77 HERE - 10 EV TO 100 MEV 600 1451 78 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 600 1451 79 - FLUORESCENCE AND ELECTRON SPECTRA 600 1451 80 HERE - PHOTON INTERACTION 600 1451 81 - AVERAGE FLUORESCENCE YIELD 600 1451 82 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 600 1451 83 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 600 1451 84 HERE - NO SECONDARY ENERGY DATA 600 1451 85 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 600 1451 86 INTERPOLABLE - SUMMATION CROSS SECTIONS 600 1451 87 (E.G., TOTAL) ARE NOT INCLUDED 600 1451 88 - FORM FACTORS ARE LOG X VS. LOG Y 600 1451 89 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 600 1451 90 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 600 1451 91 ORDER TO ALLOW CROSS SECTIONS DEFINED 600 1451 92 BY SUMMATION (E.G., TOTAL) TO BE 600 1451 93 CONSISTENTLY DEFINED AT ALL ENERGIES. 600 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 600 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 600 1451 96 ================================================================= 600 1451 97 REFERENCES 600 1451 98 ================================================================= 600 1451 99 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 600 1451 100 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 600 1451 101 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 600 1451 102 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 600 1451 103 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 600 1451 104 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 600 1451 105 600 1451 106 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 600 1451 107 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 600 1451 108 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 600 1451 109 OF THE DATA, ETC. 600 1451 110 ================================================================= 600 1451 111 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 600 1451 112 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 600 1451 113 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 600 1451 114 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 600 1451 115 *RECONSTRUCTED MT NUMBERS 600 1451 116 516 =+(515,515)+(517,517) 600 1451 117 522 =+(534,572) 600 1451 118 501 =+(502,502)+(504,504)+(516,516)+(522,522) 600 1451 119 1 451 135 1 600 1451 120 23 501 256 1 600 1451 121 23 502 58 1 600 1451 122 23 504 25 1 600 1451 123 23 515 18 1 600 1451 124 23 516 40 1 600 1451 125 23 517 26 1 600 1451 126 23 522 161 1 600 1451 127 23 534 54 1 600 1451 128 23 535 61 1 600 1451 129 23 536 73 1 600 1451 130 23 537 74 1 600 1451 131 27 502 47 1 600 1451 132 27 504 37 1 600 1451 133 27 505 50 1 600 1451 134 27 506 61 1 600 1451 135 600 1 0 136 600 0 0 137 6.000000+3 1.190780+1 0 0 0 0 60023501 138 0.000000+0 0.000000+0 0 0 1 758 60023501 139 758 2 0 0 0 0 60023501 140 1.000000+1 1.278940+7 1.065260+1 1.228870+7 1.154780+1 1.160170+7 60023501 141 1.163150+1 1.153750+7 1.261040+1 1.078640+7 1.512470+1 9.262820+6 60023501 142 1.707450+1 8.081320+6 1.730360+1 7.942500+6 1.741610+1 7.874330+6 60023501 143 1.756000+1 7.787130+6 1.756000+1 8.676350+6 1.756450+1 8.674090+6 60023501 144 1.767820+1 8.617000+6 1.778570+1 8.563010+6 1.788840+1 8.511440+6 60023501 145 1.791900+1 8.496070+6 1.915260+1 8.083930+6 2.000000+1 7.800810+6 60023501 146 2.193280+1 7.093620+6 2.212270+1 7.017780+6 2.322560+1 6.701730+6 60023501 147 2.395990+1 6.491310+6 2.574930+1 5.927780+6 2.679570+1 5.667340+6 60023501 148 2.851030+1 5.205410+6 2.855540+1 5.195790+6 3.223710+1 4.410520+6 60023501 149 3.281290+1 4.283190+6 3.309980+1 4.219750+6 3.439040+1 4.006570+6 60023501 150 3.768570+1 3.462270+6 4.000000+1 3.146180+6 4.076590+1 3.040020+6 60023501 151 4.141780+1 2.968630+6 4.479630+1 2.598690+6 4.992560+1 2.145740+6 60023501 152 5.000000+1 2.140480+6 5.162860+1 2.029410+6 5.473150+1 1.817780+6 60023501 153 5.514000+1 1.795660+6 6.000000+1 1.532490+6 6.435670+1 1.340590+6 60023501 154 6.453460+1 1.332760+6 6.859230+1 1.180470+6 7.081230+1 1.107980+6 60023501 155 7.341200+1 1.031330+6 7.734240+1 9.316890+5 7.895240+1 8.908740+5 60023501 156 7.993020+1 8.695510+5 8.022260+1 8.639110+5 8.615560+1 7.494710+5 60023501 157 9.118940+1 6.659720+5 9.457640+1 6.177290+5 1.000000+2 5.512430+5 60023501 158 1.025940+2 5.194440+5 1.042110+2 5.018310+5 1.054540+2 4.882910+5 60023501 159 1.096440+2 4.503130+5 1.177350+2 3.847070+5 1.187990+2 3.768450+5 60023501 160 1.240940+2 3.454040+5 1.255270+2 3.368950+5 1.338340+2 2.924050+5 60023501 161 1.371140+2 2.771600+5 1.420180+2 2.564690+5 1.469970+2 2.354620+5 60023501 162 1.479730+2 2.316560+5 1.495800+2 2.264800+5 1.564790+2 2.042580+5 60023501 163 1.595490+2 1.950550+5 1.657160+2 1.799480+5 1.662270+2 1.787900+5 60023501 164 1.777550+2 1.526650+5 1.786330+2 1.508030+5 1.873100+2 1.365860+5 60023501 165 1.890040+2 1.338110+5 2.000000+2 1.170770+5 2.007860+2 1.160330+5 60023501 166 2.044910+2 1.111120+5 2.122980+2 1.013550+5 2.136570+2 9.996620+4 60023501 167 2.157000+2 9.799940+4 2.306990+2 8.355979+4 2.323400+2 8.207540+4 60023501 168 2.356670+2 7.906579+4 2.425300+2 7.435700+4 2.472300+2 7.113220+4 60023501 169 2.496970+2 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2.524020+2-3.309890+0 60027506 1147 2.658860+2-3.795870+0 2.726280+2-4.174130+0 2.801300+2-4.855960+0 60027506 1148 2.829950+2-5.293870+0 2.842130+2-5.553020+0 2.850180+2-5.764270+0 60027506 1149 2.854720+2-5.900920+0 2.859710+2-6.067440+0 2.862050+2-6.151450+0 60027506 1150 2.865000+2-6.262400+0 2.867780+2-6.371680+0 2.870380+2-6.478520+0 60027506 1151 2.873990+2-6.629810+0 2.877300+2-6.772830+0 2.881280+2-6.943660+0 60027506 1152 2.886350+2-7.152010+0 2.891920+2-7.356430+0 2.898170+2-7.534370+0 60027506 1153 2.910480+2-7.646720+0 2.922790+2-7.439200+0 2.933320+2-7.034360+0 60027506 1154 2.946090+2-6.449900+0 2.962740+2-5.746160+0 2.975190+2-5.328460+0 60027506 1155 2.999320+2-4.796650+0 3.044550+2-4.128950+0 3.084770+2-3.701380+0 60027506 1156 3.153410+2-3.148040+0 3.257310+2-2.545530+0 3.361220+2-2.129310+0 60027506 1157 3.512700+2-1.665100+0 3.626310+2-1.357890+0 3.796720+2-9.723620-1 60027506 1158 3.881930+2-8.142860-1 3.967140+2-6.892770-1 4.127930+2-4.942590-1 60027506 1159 4.443140+2-2.144500-1 4.486750+2-1.832860-1 4.587500+2-1.337690-1 60027506 1160 4.787530+2-7.367960-3 4.801520+2 8.065150-4 4.837530+2 2.186820-2 60027506 1161 4.875040+2 4.219960-2 4.924270+2 6.589540-2 4.960850+2 8.001150-2 60027506 1162 4.985890+2 8.553050-2 4.994220+2 8.551060-2 5.037710+2 9.786340-2 60027506 1163 5.305960+2 2.084640-1 5.431960+2 2.542830-1 5.526460+2 2.785880-1 60027506 1164 5.615730+2 2.869410-1 5.919040+2 3.507780-1 6.483610+2 4.012680-1 60027506 1165 6.975150+2 4.275030-1 8.258800+2 4.472920-1 9.661580+2 4.278140-1 60027506 1166 1.095430+3 3.913420-1 1.594250+3 2.752380-1 1.903440+3 2.239740-1 60027506 1167 2.182970+3 1.889630-1 2.519880+3 1.558490-1 2.931160+3 1.257060-1 60027506 1168 3.378160+3 1.019680-1 3.599400+3 9.251980-2 3.919300+3 8.143330-2 60027506 1169 4.406080+3 6.778320-2 4.686790+3 6.129370-2 5.077940+3 5.391300-2 60027506 1170 5.446920+3 4.800670-2 5.889491+3 4.224010-2 6.749600+3 3.363630-2 60027506 1171 7.254060+3 2.983970-2 8.261380+3 2.396530-2 9.342290+3 1.938410-2 60027506 1172 9.911920+3 1.745970-2 1.090720+4 1.482080-2 1.211690+4 1.230810-2 60027506 1173 1.365870+4 9.937210-3 1.463060+4 8.671380-3 1.566410+4 7.554910-3 60027506 1174 1.756240+4 6.008540-3 1.877800+4 5.255440-3 1.997890+4 4.645400-3 60027506 1175 2.238200+4 3.699890-3 2.428830+4 3.145540-3 2.597190+4 2.746220-3 60027506 1176 2.908730+4 2.189070-3 3.132820+4 1.886830-3 3.512470+4 1.500600-3 60027506 1177 3.755610+4 1.312350-3 3.989130+4 1.163410-3 4.476400+4 9.231920-4 60027506 1178 4.858520+4 7.834000-4 5.194380+4 6.851370-4 5.468870+4 6.179050-4 60027506 1179 5.849180+4 5.405180-4 6.273640+4 4.691010-4 6.670970+4 4.146690-4 60027506 1180 7.057640+4 3.702780-4 7.561050+4 3.223740-4 8.073610+4 2.825130-4 60027506 1181 8.676929+4 2.443430-4 9.495060+4 2.040250-4 1.000000+5 1.837090-4 60027506 1182 1.095720+5 1.525360-4 1.182690+5 1.307170-4 1.262860+5 1.143720-4 60027506 1183 1.356890+5 9.904440-5 1.462870+5 8.487640-5 1.612110+5 6.946860-5 60027506 1184 1.736130+5 5.964300-5 1.826110+5 5.373140-5 1.946890+5 4.707370-5 60027506 1185 2.051330+5 4.219600-5 2.199390+5 3.646510-5 2.385040+5 3.073170-5 60027506 1186 2.581540+5 2.597060-5 2.719340+5 2.321270-5 2.913960+5 1.997600-5 60027506 1187 3.093840+5 1.751150-5 3.402370+5 1.415850-5 3.721180+5 1.153240-5 60027506 1188 4.000000+5 9.731340-6 4.229490+5 8.508300-6 4.598630+5 6.911520-6 60027506 1189 5.000000+5 5.560750-6 5.457820+5 4.369260-6 5.791680+5 3.672360-6 60027506 1190 6.220980+5 2.936010-6 6.623670+5 2.371320-6 7.085680+5 1.838320-6 60027506 1191 7.682820+5 1.286720-6 8.226280+5 8.854990-7 9.197270+5 3.376790-7 60027506 1192 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0 60027506 1193 60027 0 1194 600 0 0 1195 0 0 0 1196 7.000000+3 1.388640+1 -1 0 0 1 700 1451 1 0.000000+0 0.000000+0 0 0 0 6 700 1451 2 0.000000+0 0.000000+0 0 0 3 6 700 1451 3 0.000000+0 0.000000+0 0 0 115 16 700 1451 4 7-N - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 700 1451 6 ----ENDF/B-VI MATERIAL 700 700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 700 1451 8 ------ENDF-6 FORMAT 700 1451 9 ================================================================= 700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 700 1451 11 ENDF/B-VI FORMAT 700 1451 12 ================================================================= 700 1451 13 CONTENTS 700 1451 14 ================================================================= 700 1451 15 MF/MT DESCRIPTION 700 1451 16 ================================================================= 700 1451 17 23/501 TOTAL CROSS SECTION 700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 700 1451 28 ================================================================= 700 1451 29 27/502 COHERENT SCATTERING FORM FACTORS 700 1451 30 27/504 INCOHERENT SCATTERING FUNCTIONS 700 1451 31 27/505 COHERENT IMAGINARY SCATTERING FACTOR 700 1451 32 27/506 COHERENT REAL SCATTERING FACTOR 700 1451 33 ================================================================= 700 1451 34 WARNING 700 1451 35 ================================================================= 700 1451 36 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 700 1451 37 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 700 1451 38 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 700 1451 39 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 700 1451 40 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 700 1451 41 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 700 1451 42 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 700 1451 43 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 700 1451 44 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 700 1451 45 ================================================================= 700 1451 46 DEFINITION OF NEW TYPES OF DATA 700 1451 47 ================================================================= 700 1451 48 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 700 1451 49 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 700 1451 50 700 1451 51 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 700 1451 52 C2 FIELDS ARE, 700 1451 53 700 1451 54 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 700 1451 55 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 700 1451 56 700 1451 57 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 700 1451 58 700 1451 59 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 700 1451 60 700 1451 61 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 700 1451 62 T = THE THOMSON CROSS SECTION 700 1451 63 MU = THE COSINE OF THE SCATTERING ANGLE 700 1451 64 FF(M) = THE ATOMIC FORM FACTOR 700 1451 65 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 700 1451 66 F1(E) = THE REAL SCATTERING FACTOR 700 1451 67 F2(E) = THE IMAGINARY SCATTERING FACTOR 700 1451 68 700 1451 69 F1(E) AND F2(E) ARE ISOTROPIC. 700 1451 70 700 1451 71 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 700 1451 72 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 700 1451 73 ================================================================= 700 1451 74 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 700 1451 75 ================================================================= 700 1451 76 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 700 1451 77 HERE - 10 EV TO 100 MEV 700 1451 78 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 700 1451 79 - FLUORESCENCE AND ELECTRON SPECTRA 700 1451 80 HERE - PHOTON INTERACTION 700 1451 81 - AVERAGE FLUORESCENCE YIELD 700 1451 82 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 700 1451 83 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 700 1451 84 HERE - NO SECONDARY ENERGY DATA 700 1451 85 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 700 1451 86 INTERPOLABLE - SUMMATION CROSS SECTIONS 700 1451 87 (E.G., TOTAL) ARE NOT INCLUDED 700 1451 88 - FORM FACTORS ARE LOG X VS. LOG Y 700 1451 89 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 700 1451 90 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 700 1451 91 ORDER TO ALLOW CROSS SECTIONS DEFINED 700 1451 92 BY SUMMATION (E.G., TOTAL) TO BE 700 1451 93 CONSISTENTLY DEFINED AT ALL ENERGIES. 700 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 700 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 700 1451 96 ================================================================= 700 1451 97 REFERENCES 700 1451 98 ================================================================= 700 1451 99 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 700 1451 100 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 700 1451 101 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 700 1451 102 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 700 1451 103 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 700 1451 104 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 700 1451 105 700 1451 106 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 700 1451 107 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 700 1451 108 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 700 1451 109 OF THE DATA, ETC. 700 1451 110 ================================================================= 700 1451 111 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 700 1451 112 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 700 1451 113 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 700 1451 114 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 700 1451 115 *RECONSTRUCTED MT NUMBERS 700 1451 116 516 =+(515,515)+(517,517) 700 1451 117 522 =+(534,572) 700 1451 118 501 =+(502,502)+(504,504)+(516,516)+(522,522) 700 1451 119 1 451 135 1 700 1451 120 23 501 284 1 700 1451 121 23 502 61 1 700 1451 122 23 504 26 1 700 1451 123 23 515 18 1 700 1451 124 23 516 40 1 700 1451 125 23 517 26 1 700 1451 126 23 522 184 1 700 1451 127 23 534 52 1 700 1451 128 23 535 59 1 700 1451 129 23 536 72 1 700 1451 130 23 537 71 1 700 1451 131 27 502 53 1 700 1451 132 27 504 38 1 700 1451 133 27 505 70 1 700 1451 134 27 506 81 1 700 1451 135 700 1 0 136 700 0 0 137 7.000000+3 1.388640+1 0 0 0 0 70023501 138 0.000000+0 0.000000+0 0 0 1 842 70023501 139 842 2 0 0 0 0 70023501 140 1.000000+1 6.862520-1 1.025670+1 8.687670-1 1.052000+1 1.099820+0 70023501 141 1.073620+1 1.429390+0 1.092510+1 1.789440+0 1.105330+1 2.100030+0 70023501 142 1.115880+1 2.535440+0 1.123510+1 3.018580+0 1.129590+1 3.606340+0 70023501 143 1.136580+1 4.589150+0 1.143270+1 5.669420+0 1.148000+1 6.090160+0 70023501 144 1.148000+1 7.527110+6 1.150000+1 7.532100+6 1.150000+1 1.127270+7 70023501 145 1.152800+1 1.128480+7 1.154780+1 1.129330+7 1.157320+1 1.130420+7 70023501 146 1.176220+1 1.138550+7 1.206820+1 1.151720+7 1.257300+1 1.173440+7 70023501 147 1.298650+1 1.184510+7 1.333520+1 1.183450+7 1.399290+1 1.181450+7 70023501 148 1.500000+1 1.167970+7 1.585600+1 1.143210+7 1.735950+1 1.099710+7 70023501 149 1.863300+1 1.058670+7 1.913200+1 1.040660+7 1.915250+1 1.039920+7 70023501 150 2.183520+1 9.430580+6 2.206730+1 9.346780+6 2.267180+1 9.128530+6 70023501 151 2.281220+1 9.077840+6 2.300490+1 9.008260+6 2.310000+1 8.973930+6 70023501 152 2.310000+1 9.630560+6 2.329700+1 9.570390+6 2.356820+1 9.487560+6 70023501 153 2.503510+1 9.039520+6 2.556700+1 8.901600+6 2.649820+1 8.679040+6 70023501 154 2.686790+1 8.590680+6 2.824430+1 8.245940+6 3.000000+1 7.806190+6 70023501 155 3.086730+1 7.571890+6 3.128350+1 7.465350+6 3.151180+1 7.406920+6 70023501 156 3.253740+1 7.187450+6 3.590940+1 6.401850+6 3.617430+1 6.345670+6 70023501 157 3.741920+1 6.081660+6 3.745000+1 6.074760+6 3.828340+1 5.888210+6 70023501 158 4.207030+1 5.154960+6 4.333980+1 4.938860+6 4.358740+1 4.900440+6 70023501 159 4.550780+1 4.602420+6 4.804100+1 4.195470+6 4.835490+1 4.153200+6 70023501 160 4.907950+1 4.055630+6 5.361330+1 3.489840+6 5.520530+1 3.303540+6 70023501 161 5.798700+1 3.027190+6 5.924050+1 2.902650+6 5.981400+1 2.849860+6 70023501 162 6.439590+1 2.495090+6 6.752300+1 2.271030+6 6.993350+1 2.121910+6 70023501 163 7.000000+1 2.117790+6 7.255200+1 1.968240+6 7.489640+1 1.848820+6 70023501 164 7.652860+1 1.765680+6 7.835660+1 1.679970+6 7.946120+1 1.635440+6 70023501 165 8.086750+1 1.578740+6 8.389950+1 1.463280+6 8.593830+1 1.390860+6 70023501 166 8.714260+1 1.353800+6 8.932810+1 1.286540+6 9.262290+1 1.190880+6 70023501 167 9.390470+1 1.153660+6 9.447980+1 1.138830+6 9.630810+1 1.095760+6 70023501 168 1.011500+2 9.883080+5 1.044520+2 9.238690+5 1.074610+2 8.685080+5 70023501 169 1.095340+2 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5.791680+5 6.992540-6 6.220980+5 5.590340-6 70027506 1284 6.623670+5 4.515140-6 7.098190+5 3.478260-6 7.682820+5 2.450080-6 70027506 1285 8.226280+5 1.686130-6 9.197270+5 6.429750-7 1.000000+6 0.000000+0 70027506 1286 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0 70027506 1287 70027 0 1288 700 0 0 1289 0 0 0 1290 8.000000+3 1.586200+1 -1 0 0 1 800 1451 1 0.000000+0 0.000000+0 0 0 0 6 800 1451 2 0.000000+0 0.000000+0 0 0 3 6 800 1451 3 0.000000+0 0.000000+0 0 0 115 16 800 1451 4 8-O - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 800 1451 6 ----ENDF/B-VI MATERIAL 800 800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 800 1451 8 ------ENDF-6 FORMAT 800 1451 9 ================================================================= 800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 800 1451 11 ENDF/B-VI FORMAT 800 1451 12 ================================================================= 800 1451 13 CONTENTS 800 1451 14 ================================================================= 800 1451 15 MF/MT DESCRIPTION 800 1451 16 ================================================================= 800 1451 17 23/501 TOTAL CROSS SECTION 800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 800 1451 28 ================================================================= 800 1451 29 27/502 COHERENT SCATTERING FORM FACTORS 800 1451 30 27/504 INCOHERENT SCATTERING FUNCTIONS 800 1451 31 27/505 COHERENT IMAGINARY SCATTERING FACTOR 800 1451 32 27/506 COHERENT REAL SCATTERING FACTOR 800 1451 33 ================================================================= 800 1451 34 WARNING 800 1451 35 ================================================================= 800 1451 36 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 800 1451 37 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 800 1451 38 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 800 1451 39 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 800 1451 40 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 800 1451 41 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 800 1451 42 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 800 1451 43 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 800 1451 44 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 800 1451 45 ================================================================= 800 1451 46 DEFINITION OF NEW TYPES OF DATA 800 1451 47 ================================================================= 800 1451 48 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 800 1451 49 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 800 1451 50 800 1451 51 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 800 1451 52 C2 FIELDS ARE, 800 1451 53 800 1451 54 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 800 1451 55 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 800 1451 56 800 1451 57 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 800 1451 58 800 1451 59 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 800 1451 60 800 1451 61 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 800 1451 62 T = THE THOMSON CROSS SECTION 800 1451 63 MU = THE COSINE OF THE SCATTERING ANGLE 800 1451 64 FF(M) = THE ATOMIC FORM FACTOR 800 1451 65 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 800 1451 66 F1(E) = THE REAL SCATTERING FACTOR 800 1451 67 F2(E) = THE IMAGINARY SCATTERING FACTOR 800 1451 68 800 1451 69 F1(E) AND F2(E) ARE ISOTROPIC. 800 1451 70 800 1451 71 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 800 1451 72 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 800 1451 73 ================================================================= 800 1451 74 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 800 1451 75 ================================================================= 800 1451 76 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 800 1451 77 HERE - 10 EV TO 100 MEV 800 1451 78 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 800 1451 79 - FLUORESCENCE AND ELECTRON SPECTRA 800 1451 80 HERE - PHOTON INTERACTION 800 1451 81 - AVERAGE FLUORESCENCE YIELD 800 1451 82 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 800 1451 83 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 800 1451 84 HERE - NO SECONDARY ENERGY DATA 800 1451 85 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 800 1451 86 INTERPOLABLE - SUMMATION CROSS SECTIONS 800 1451 87 (E.G., TOTAL) ARE NOT INCLUDED 800 1451 88 - FORM FACTORS ARE LOG X VS. LOG Y 800 1451 89 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 800 1451 90 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 800 1451 91 ORDER TO ALLOW CROSS SECTIONS DEFINED 800 1451 92 BY SUMMATION (E.G., TOTAL) TO BE 800 1451 93 CONSISTENTLY DEFINED AT ALL ENERGIES. 800 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 800 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 800 1451 96 ================================================================= 800 1451 97 REFERENCES 800 1451 98 ================================================================= 800 1451 99 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 800 1451 100 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 800 1451 101 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 800 1451 102 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 800 1451 103 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 800 1451 104 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 800 1451 105 800 1451 106 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 800 1451 107 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 800 1451 108 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 800 1451 109 OF THE DATA, ETC. 800 1451 110 ================================================================= 800 1451 111 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 800 1451 112 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 800 1451 113 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 800 1451 114 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 800 1451 115 *RECONSTRUCTED MT NUMBERS 800 1451 116 516 =+(515,515)+(517,517) 800 1451 117 522 =+(534,572) 800 1451 118 501 =+(502,502)+(504,504)+(516,516)+(522,522) 800 1451 119 1 451 135 1 800 1451 120 23 501 244 1 800 1451 121 23 502 60 1 800 1451 122 23 504 26 1 800 1451 123 23 515 18 1 800 1451 124 23 516 39 1 800 1451 125 23 517 26 1 800 1451 126 23 522 147 1 800 1451 127 23 534 50 1 800 1451 128 23 535 58 1 800 1451 129 23 536 70 1 800 1451 130 23 537 70 1 800 1451 131 27 502 54 1 800 1451 132 27 504 39 1 800 1451 133 27 505 71 1 800 1451 134 27 506 78 1 800 1451 135 800 1 0 136 800 0 0 137 8.000000+3 1.586200+1 0 0 0 0 80023501 138 0.000000+0 0.000000+0 0 0 1 723 80023501 139 723 2 0 0 0 0 80023501 140 1.000000+1 2.235580-1 1.042490+1 2.892640-1 1.075550+1 3.509310-1 80023501 141 1.127100+1 4.689390-1 1.154780+1 5.497410-1 1.181120+1 6.266310-1 80023501 142 1.213710+1 7.891290-1 1.257840+1 1.068020+0 1.296950+1 1.384300+0 80023501 143 1.316960+1 1.576020+0 1.347920+1 2.123440+0 1.363930+1 2.496460+0 80023501 144 1.377230+1 3.000640+0 1.386760+1 3.560720+0 1.394970+1 4.305750+0 80023501 145 1.409170+1 6.142100+0 1.415000+1 6.576810+0 1.415000+1 6.005480+6 80023501 146 1.419000+1 6.023810+6 1.419000+1 9.017580+6 1.420180+1 9.025500+6 80023501 147 1.420240+1 9.025900+6 1.426460+1 9.067660+6 1.445400+1 9.194810+6 80023501 148 1.472780+1 9.378630+6 1.554920+1 9.930090+6 1.604630+1 1.013590+7 80023501 149 1.662270+1 1.030320+7 1.790480+1 1.067540+7 2.007860+1 1.067920+7 80023501 150 2.096610+1 1.068080+7 2.140340+1 1.063720+7 2.471030+1 1.015190+7 80023501 151 2.530300+1 1.003920+7 2.542570+1 1.001320+7 2.593810+1 9.904730+6 80023501 152 2.854460+1 9.353070+6 2.878100+1 9.303040+6 2.892970+1 9.271560+6 80023501 153 2.923000+1 9.208010+6 2.923000+1 9.679090+6 2.928480+1 9.670190+6 80023501 154 2.946510+1 9.640930+6 2.977420+1 9.590770+6 3.155830+1 9.301220+6 80023501 155 3.374180+1 8.927040+6 3.460740+1 8.769090+6 3.575310+1 8.560030+6 80023501 156 3.672260+1 8.383130+6 3.789950+1 8.153240+6 4.074570+1 7.625840+6 80023501 157 4.163640+1 7.481150+6 4.471630+1 6.945910+6 4.881310+1 6.233950+6 80023501 158 4.897480+1 6.204560+6 5.078740+1 5.899020+6 5.208420+1 5.711630+6 80023501 159 5.811770+1 4.839770+6 5.843810+1 4.793470+6 5.845400+1 4.791340+6 80023501 160 5.848120+1 4.788310+6 6.254520+1 4.318840+6 6.465400+1 4.075230+6 80023501 161 6.781920+1 3.733760+6 7.240570+1 3.310310+6 7.365820+1 3.203200+6 80023501 162 7.532750+1 3.083410+6 7.954510+1 2.780750+6 8.331180+1 2.533340+6 80023501 163 8.399860+1 2.494340+6 8.485280+1 2.445840+6 8.738850+1 2.301800+6 80023501 164 8.944070+1 2.191020+6 9.098810+1 2.118790+6 9.448240+1 1.955700+6 80023501 165 9.650870+1 1.867250+6 1.001780+2 1.730330+6 1.013670+2 1.688950+6 80023501 166 1.057310+2 1.544980+6 1.074610+2 1.495910+6 1.093720+2 1.441700+6 80023501 167 1.159940+2 1.268940+6 1.194100+2 1.191610+6 1.251180+2 1.069740+6 80023501 168 1.259380+2 1.053310+6 1.287100+2 1.005680+6 1.333520+2 9.309280+5 80023501 169 1.361570+2 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207 9.389800+2 1.433110+5 9.457640+2 1.403100+5 9.462320+2 1.401530+5 80023501 208 9.588290+2 1.359370+5 1.013350+3 1.176920+5 1.025670+3 1.135690+5 80023501 209 1.031520+3 1.116370+5 1.099690+3 9.503170+4 1.128110+3 8.819960+4 80023501 210 1.143200+3 8.540379+4 1.154780+3 8.326379+4 1.188440+3 7.704350+4 80023501 211 1.199110+3 7.509440+4 1.223530+3 7.155360+4 1.290220+3 6.191530+4 80023501 212 1.291480+3 6.177300+4 1.312290+3 5.945540+4 1.376470+3 5.232710+4 80023501 213 1.391840+3 5.062320+4 1.407260+3 4.893320+4 1.457640+3 4.476550+4 80023501 214 1.512470+3 4.024010+4 1.528100+3 3.895010+4 1.544240+3 3.793010+4 80023501 215 1.574750+3 3.602990+4 1.634450+3 3.232100+4 1.672750+3 3.046440+4 80023501 216 1.674080+3 3.040090+4 1.756620+3 2.646620+4 1.762020+3 2.627210+4 80023501 217 1.828480+3 2.388830+4 1.865390+3 2.258460+4 1.915340+3 2.082340+4 80023501 218 1.982900+3 1.901960+4 2.004280+3 1.844980+4 2.069860+3 1.672440+4 80023501 219 2.094960+3 1.620400+4 2.133740+3 1.540130+4 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2.073290-2 80027506 1184 1.863520+4 1.646120-2 1.995350+4 1.460670-2 2.148210+4 1.282340-2 80027506 1185 2.312220+4 1.125520-2 2.701520+4 8.404910-3 2.989120+4 6.863050-3 80027506 1186 3.187660+4 6.033950-3 3.372160+4 5.390980-3 3.635800+4 4.639780-3 80027506 1187 4.102250+4 3.640680-3 4.402680+4 3.159960-3 4.713280+4 2.758500-3 80027506 1188 5.043590+4 2.409650-3 5.328480+4 2.155260-3 5.648840+4 1.917070-3 80027506 1189 6.066860+4 1.661170-3 6.490030+4 1.450820-3 6.985820+4 1.251340-3 80027506 1190 7.460660+4 1.096370-3 8.027550+4 9.461570-4 8.657300+4 8.126500-4 80027506 1191 9.114779+4 7.325140-4 9.744260+4 6.406070-4 1.087560+5 5.127570-4 80027506 1192 1.170820+5 4.415250-4 1.251870+5 3.854360-4 1.327370+5 3.421560-4 80027506 1193 1.455880+5 2.834010-4 1.608610+5 2.311130-4 1.731460+5 1.985570-4 80027506 1194 1.946890+5 1.558590-4 2.199390+5 1.207230-4 2.384690+5 1.017730-4 80027506 1195 2.582630+5 8.590680-5 2.719340+5 7.684830-5 2.913930+5 6.613600-5 80027506 1196 3.093820+5 5.797570-5 3.402370+5 4.687370-5 3.721180+5 3.818000-5 80027506 1197 4.000000+5 3.221730-5 4.229490+5 2.816820-5 4.598630+5 2.288190-5 80027506 1198 5.000000+5 1.840970-5 5.457820+5 1.446510-5 5.791680+5 1.215800-5 80027506 1199 6.246150+5 9.603050-6 6.623670+5 7.850730-6 7.085680+5 6.086170-6 80027506 1200 7.682820+5 4.260160-6 8.226280+5 2.931830-6 9.197270+5 1.118210-6 80027506 1201 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0 80027506 1202 80027 0 1203 800 0 0 1204 0 0 0 1205 9.000000+3 1.883520+1 -1 0 0 1 900 1451 1 0.000000+0 0.000000+0 0 0 0 6 900 1451 2 0.000000+0 0.000000+0 0 0 3 6 900 1451 3 0.000000+0 0.000000+0 0 0 115 16 900 1451 4 9-F - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 900 1451 6 ----ENDF/B-VI MATERIAL 900 900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 900 1451 8 ------ENDF-6 FORMAT 900 1451 9 ================================================================= 900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 900 1451 11 ENDF/B-VI FORMAT 900 1451 12 ================================================================= 900 1451 13 CONTENTS 900 1451 14 ================================================================= 900 1451 15 MF/MT DESCRIPTION 900 1451 16 ================================================================= 900 1451 17 23/501 TOTAL CROSS SECTION 900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 900 1451 28 ================================================================= 900 1451 29 27/502 COHERENT SCATTERING FORM FACTORS 900 1451 30 27/504 INCOHERENT SCATTERING FUNCTIONS 900 1451 31 27/505 COHERENT IMAGINARY SCATTERING FACTOR 900 1451 32 27/506 COHERENT REAL SCATTERING FACTOR 900 1451 33 ================================================================= 900 1451 34 WARNING 900 1451 35 ================================================================= 900 1451 36 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 900 1451 37 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 900 1451 38 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 900 1451 39 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 900 1451 40 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 900 1451 41 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 900 1451 42 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 900 1451 43 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 900 1451 44 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 900 1451 45 ================================================================= 900 1451 46 DEFINITION OF NEW TYPES OF DATA 900 1451 47 ================================================================= 900 1451 48 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 900 1451 49 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 900 1451 50 900 1451 51 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 900 1451 52 C2 FIELDS ARE, 900 1451 53 900 1451 54 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 900 1451 55 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 900 1451 56 900 1451 57 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 900 1451 58 900 1451 59 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 900 1451 60 900 1451 61 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 900 1451 62 T = THE THOMSON CROSS SECTION 900 1451 63 MU = THE COSINE OF THE SCATTERING ANGLE 900 1451 64 FF(M) = THE ATOMIC FORM FACTOR 900 1451 65 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 900 1451 66 F1(E) = THE REAL SCATTERING FACTOR 900 1451 67 F2(E) = THE IMAGINARY SCATTERING FACTOR 900 1451 68 900 1451 69 F1(E) AND F2(E) ARE ISOTROPIC. 900 1451 70 900 1451 71 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 900 1451 72 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 900 1451 73 ================================================================= 900 1451 74 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 900 1451 75 ================================================================= 900 1451 76 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 900 1451 77 HERE - 10 EV TO 100 MEV 900 1451 78 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION 900 1451 79 - FLUORESCENCE AND ELECTRON SPECTRA 900 1451 80 HERE - PHOTON INTERACTION 900 1451 81 - AVERAGE FLUORESCENCE YIELD 900 1451 82 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 900 1451 83 PARTICLE (PHOTONS, ELECTRONS, POSITRONS) 900 1451 84 HERE - NO SECONDARY ENERGY DATA 900 1451 85 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 900 1451 86 INTERPOLABLE - SUMMATION CROSS SECTIONS 900 1451 87 (E.G., TOTAL) ARE NOT INCLUDED 900 1451 88 - FORM FACTORS ARE LOG X VS. LOG Y 900 1451 89 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 900 1451 90 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 900 1451 91 ORDER TO ALLOW CROSS SECTIONS DEFINED 900 1451 92 BY SUMMATION (E.G., TOTAL) TO BE 900 1451 93 CONSISTENTLY DEFINED AT ALL ENERGIES. 900 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 900 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 900 1451 96 ================================================================= 900 1451 97 REFERENCES 900 1451 98 ================================================================= 900 1451 99 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 900 1451 100 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 900 1451 101 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 900 1451 102 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL), 900 1451 103 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 900 1451 104 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 900 1451 105 900 1451 106 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 900 1451 107 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 900 1451 108 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 900 1451 109 OF THE DATA, ETC. 900 1451 110 ================================================================= 900 1451 111 ***************** PROGRAM LINEAR (VERSION 90-1) ***************** 900 1451 112 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 900 1451 113 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 900 1451 114 ***************** PROGRAM FIXUP (VERSION 90-1) ****************** 900 1451 115 *RECONSTRUCTED MT NUMBERS 900 1451 116 516 =+(515,515)+(517,517) 900 1451 117 522 =+(534,572) 900 1451 118 501 =+(502,502)+(504,504)+(516,516)+(522,522) 900 1451 119 1 451 135 1 900 1451 120 23 501 273 1 900 1451 121 23 502 59 1 900 1451 122 23 504 27 1 900 1451 123 23 515 18 1 900 1451 124 23 516 39 1 900 1451 125 23 517 26 1 900 1451 126 23 522 174 1 900 1451 127 23 534 50 1 900 1451 128 23 535 56 1 900 1451 129 23 536 69 1 900 1451 130 23 537 69 1 900 1451 131 27 502 56 1 900 1451 132 27 504 41 1 900 1451 133 27 505 69 1 900 1451 134 27 506 80 1 900 1451 135 900 1 0 136 900 0 0 137 9.000000+3 1.883520+1 0 0 0 0 90023501 138 0.000000+0 0.000000+0 0 0 1 810 90023501 139 810 2 0 0 0 0 90023501 140 1.000000+1 1.052230-1 1.050920+1 1.372010-1 1.095530+1 1.713230-1 90023501 141 1.147440+1 2.194000-1 1.154780+1 2.277740-1 1.205790+1 2.859750-1 90023501 142 1.260840+1 3.630050-1 1.318400+1 4.607830-1 1.333520+1 4.987110-1 90023501 143 1.356520+1 5.564050-1 1.415760+1 7.383000-1 1.477600+1 9.796600-1 90023501 144 1.512470+1 1.196020+0 1.516880+1 1.223380+0 1.557200+1 1.527740+0 90023501 145 1.593220+1 1.982510+0 1.631850+1 2.610850+0 1.648400+1 3.072300+0 90023501 146 1.661780+1 3.650500+0 1.672390+1 4.371450+0 1.685720+1 5.703910+0 90023501 147 1.692660+1 6.376370+0 1.698000+1 6.678130+0 1.698000+1 4.753210+6 90023501 148 1.705000+1 4.787050+6 1.705000+1 7.148080+6 1.706670+1 7.160000+6 90023501 149 1.713950+1 7.211960+6 1.715440+1 7.222600+6 1.737050+1 7.376840+6 90023501 150 1.803500+1 7.851120+6 1.864300+1 8.285080+6 1.866980+1 8.298690+6 90023501 151 1.996050+1 8.848540+6 2.051330+1 9.084040+6 2.075840+1 9.154250+6 90023501 152 2.322910+1 9.685000+6 2.354770+1 9.734380+6 2.362870+1 9.746930+6 90023501 153 2.665520+1 9.865360+6 2.667410+1 9.866100+6 2.730840+1 9.865790+6 90023501 154 3.017280+1 9.649970+6 3.243570+1 9.479470+6 3.353910+1 9.371270+6 90023501 155 3.526360+1 9.128880+6 3.530540+1 9.123010+6 3.572620+1 9.063860+6 90023501 156 3.593000+1 9.035220+6 3.593000+1 9.388340+6 3.627800+1 9.350600+6 90023501 157 3.672440+1 9.302170+6 3.947320+1 9.004010+6 4.000000+1 8.946860+6 90023501 158 4.017890+1 8.926490+6 4.260010+1 8.650820+6 4.613390+1 8.221450+6 90023501 159 4.646330+1 8.178670+6 4.695850+1 8.114360+6 5.002940+1 7.706860+6 90023501 160 5.233180+1 7.401340+6 5.397520+1 7.172440+6 5.732660+1 6.705650+6 90023501 161 5.893360+1 6.501690+6 6.000000+1 6.366350+6 6.058570+1 6.289000+6 90023501 162 6.356160+1 5.924250+6 6.735370+1 5.459460+6 7.000000+1 5.171190+6 90023501 163 7.185310+1 4.963670+6 7.221160+1 4.923530+6 7.270120+1 4.868700+6 90023501 164 7.706940+1 4.420980+6 8.303300+1 3.917000+6 8.458970+1 3.785450+6 90023501 165 8.485280+1 3.764840+6 8.939321+1 3.404190+6 8.953700+1 3.392760+6 90023501 166 9.197270+1 3.227660+6 9.399040+1 3.102250+6 9.705260+1 2.911910+6 90023501 167 1.038950+2 2.553240+6 1.086060+2 2.325680+6 1.111470+2 2.219760+6 90023501 168 1.143090+2 2.087960+6 1.163350+2 2.010570+6 1.176150+2 1.962960+6 90023501 169 1.231950+2 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4.416870-1 1.614360+3 4.611550-1 90027506 1234 1.742710+3 4.717260-1 2.088320+3 4.646600-1 2.445570+3 4.250220-1 90027506 1235 3.128560+3 3.379000-1 3.823460+3 2.728500-1 4.348220+3 2.331050-1 90027506 1236 5.155620+3 1.875850-1 5.799660+3 1.591950-1 6.381450+3 1.402610-1 90027506 1237 7.095290+3 1.203050-1 8.136730+3 9.739110-2 9.340630+3 7.835600-2 90027506 1238 1.045410+4 6.529080-2 1.151530+4 5.610850-2 1.320210+4 4.494230-2 90027506 1239 1.486070+4 3.686910-2 1.581860+4 3.313610-2 1.720540+4 2.879880-2 90027506 1240 1.932940+4 2.354810-2 2.182640+4 1.905900-2 2.357100+4 1.669560-2 90027506 1241 2.517150+4 1.488610-2 2.691640+4 1.322790-2 2.997820+4 1.092780-2 90027506 1242 3.456210+4 8.328350-3 3.698290+4 7.272420-3 3.987890+4 6.252970-3 90027506 1243 4.310310+4 5.350900-3 4.544970+4 4.811580-3 4.843470+4 4.235640-3 90027506 1244 5.221370+4 3.643220-3 5.854120+4 2.896080-3 6.259340+4 2.532000-3 90027506 1245 6.636860+4 2.251010-3 7.279300+4 1.869550-3 8.027550+4 1.535490-3 90027506 1246 8.657300+4 1.318820-3 9.114779+4 1.188770-3 9.744260+4 1.039910-3 90027506 1247 1.044270+5 9.034590-4 1.108460+5 8.008870-4 1.177150+5 7.093860-4 90027506 1248 1.254480+5 6.230660-4 1.329790+5 5.534580-4 1.455870+5 4.599490-4 90027506 1249 1.608610+5 3.750980-4 1.748180+5 3.162650-4 1.955360+5 2.508210-4 90027506 1250 2.051330+5 2.267470-4 2.199390+5 1.959430-4 2.384690+5 1.651910-4 90027506 1251 2.574930+5 1.402690-4 2.719340+5 1.247400-4 2.913930+5 1.073450-4 90027506 1252 3.093820+5 9.411450-5 3.432040+5 7.478640-5 3.721180+5 6.196660-5 90027506 1253 4.028810+5 5.140000-5 4.362180+5 4.244780-5 4.598630+5 3.713620-5 90027506 1254 5.051580+5 2.908480-5 5.541210+5 2.247870-5 6.022760+5 1.749750-5 90027506 1255 6.533410+5 1.337360-5 6.992390+5 1.041300-5 7.484420+5 7.824030-6 90027506 1256 8.120780+5 5.144480-6 8.820400+5 2.849590-6 9.818850+5 3.727370-7 90027506 1257 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0 90027506 1258 90027 0 1259 900 0 0 1260 0 0 0 1261 1.000000+4 2.000560+1 -1 0 0 11000 1451 1 0.000000+0 0.000000+0 0 0 0 61000 1451 2 0.000000+0 0.000000+0 0 0 3 61000 1451 3 0.000000+0 0.000000+0 0 0 115 161000 1451 4 10-NE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1000 1451 6 ----ENDF/B-VI MATERIAL 1000 1000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1000 1451 8 ------ENDF-6 FORMAT 1000 1451 9 =================================================================1000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1000 1451 11 ENDF/B-VI FORMAT 1000 1451 12 =================================================================1000 1451 13 CONTENTS 1000 1451 14 =================================================================1000 1451 15 MF/MT DESCRIPTION 1000 1451 16 =================================================================1000 1451 17 23/501 TOTAL CROSS SECTION 1000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1000 1451 28 =================================================================1000 1451 29 27/502 COHERENT SCATTERING FORM FACTORS 1000 1451 30 27/504 INCOHERENT SCATTERING FUNCTIONS 1000 1451 31 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1000 1451 32 27/506 COHERENT REAL SCATTERING FACTOR 1000 1451 33 =================================================================1000 1451 34 WARNING 1000 1451 35 =================================================================1000 1451 36 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1000 1451 37 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1000 1451 38 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1000 1451 39 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1000 1451 40 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1000 1451 41 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1000 1451 42 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1000 1451 43 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1000 1451 44 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1000 1451 45 =================================================================1000 1451 46 DEFINITION OF NEW TYPES OF DATA 1000 1451 47 =================================================================1000 1451 48 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1000 1451 49 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1000 1451 50 1000 1451 51 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1000 1451 52 C2 FIELDS ARE, 1000 1451 53 1000 1451 54 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1000 1451 55 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1000 1451 56 1000 1451 57 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1000 1451 58 1000 1451 59 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1000 1451 60 1000 1451 61 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1000 1451 62 T = THE THOMSON CROSS SECTION 1000 1451 63 MU = THE COSINE OF THE SCATTERING ANGLE 1000 1451 64 FF(M) = THE ATOMIC FORM FACTOR 1000 1451 65 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1000 1451 66 F1(E) = THE REAL SCATTERING FACTOR 1000 1451 67 F2(E) = THE IMAGINARY SCATTERING FACTOR 1000 1451 68 1000 1451 69 F1(E) AND F2(E) ARE ISOTROPIC. 1000 1451 70 1000 1451 71 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1000 1451 72 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1000 1451 73 =================================================================1000 1451 74 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1000 1451 75 =================================================================1000 1451 76 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1000 1451 77 HERE - 10 EV TO 100 MEV 1000 1451 78 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1000 1451 79 - FLUORESCENCE AND ELECTRON SPECTRA 1000 1451 80 HERE - PHOTON INTERACTION 1000 1451 81 - AVERAGE FLUORESCENCE YIELD 1000 1451 82 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1000 1451 83 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1000 1451 84 HERE - NO SECONDARY ENERGY DATA 1000 1451 85 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1000 1451 86 INTERPOLABLE - SUMMATION CROSS SECTIONS 1000 1451 87 (E.G., TOTAL) ARE NOT INCLUDED 1000 1451 88 - FORM FACTORS ARE LOG X VS. LOG Y 1000 1451 89 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1000 1451 90 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1000 1451 91 ORDER TO ALLOW CROSS SECTIONS DEFINED 1000 1451 92 BY SUMMATION (E.G., TOTAL) TO BE 1000 1451 93 CONSISTENTLY DEFINED AT ALL ENERGIES. 1000 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 1000 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1000 1451 96 =================================================================1000 1451 97 REFERENCES 1000 1451 98 =================================================================1000 1451 99 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1000 1451 100 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1000 1451 101 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1000 1451 102 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1000 1451 103 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1000 1451 104 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1000 1451 105 1000 1451 106 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1000 1451 107 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1000 1451 108 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1000 1451 109 OF THE DATA, ETC. 1000 1451 110 =================================================================1000 1451 111 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1000 1451 112 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1000 1451 113 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1000 1451 114 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1000 1451 115 *RECONSTRUCTED MT NUMBERS 1000 1451 116 516 =+(515,515)+(517,517) 1000 1451 117 522 =+(534,572) 1000 1451 118 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1000 1451 119 1 451 135 11000 1451 120 23 501 233 11000 1451 121 23 502 58 11000 1451 122 23 504 27 11000 1451 123 23 515 18 11000 1451 124 23 516 40 11000 1451 125 23 517 26 11000 1451 126 23 522 137 11000 1451 127 23 534 48 11000 1451 128 23 535 55 11000 1451 129 23 536 68 11000 1451 130 23 537 68 11000 1451 131 27 502 55 11000 1451 132 27 504 39 11000 1451 133 27 505 68 11000 1451 134 27 506 78 11000 1451 135 1000 1 0 136 1000 0 0 137 1.000000+4 2.000560+1 0 0 0 0100023501 138 0.000000+0 0.000000+0 0 0 1 688100023501 139 688 2 0 0 0 0100023501 140 1.000000+1 5.650180-2 1.048790+1 7.152550-2 1.113540+1 9.621910-2100023501 141 1.154780+1 1.157440-1 1.170800+1 1.233280-1 1.238050+1 1.625990-1100023501 142 1.314380+1 2.186500-1 1.333520+1 2.362290-1 1.387100+1 2.854420-1100023501 143 1.463840+1 3.726390-1 1.539750+1 5.049960-1 1.593750+1 6.212810-1100023501 144 1.610760+1 6.656160-1 1.661050+1 7.966910-1 1.695760+1 9.021750-1100023501 145 1.752780+1 1.163720+0 1.811720+1 1.501080+0 1.837730+1 1.759140+0100023501 146 1.863210+1 2.011930+0 1.916240+1 2.697960+0 1.935840+1 3.124630+0100023501 147 1.952740+1 3.700540+0 1.965900+1 4.405300+0 1.981560+1 5.638700+0100023501 148 1.989790+1 6.280390+0 1.996000+1 6.614470+0 1.996000+1 3.806850+6100023501 149 2.003930+1 3.838830+6 2.008000+1 3.855250+6 2.008000+1 5.745100+6100023501 150 2.013000+1 5.774930+6 2.029990+1 5.876290+6 2.040640+1 5.939830+6100023501 151 2.091020+1 6.240410+6 2.120530+1 6.416470+6 2.200420+1 6.893110+6100023501 152 2.254520+1 7.147340+6 2.460040+1 7.977460+6 2.467870+1 7.998830+6100023501 153 2.521820+1 8.146050+6 2.801750+1 8.734950+6 2.866340+1 8.808280+6100023501 154 2.933970+1 8.853930+6 3.104550+1 8.969070+6 3.311840+1 9.109000+6100023501 155 3.379200+1 9.122760+6 3.421060+1 9.131300+6 3.533890+1 9.135270+6100023501 156 3.931480+1 8.926810+6 4.255740+1 8.756790+6 4.323000+1 8.721530+6100023501 157 4.323000+1 8.988080+6 4.377560+1 8.971240+6 4.410000+1 8.961220+6100023501 158 4.505290+1 8.884290+6 5.115260+1 8.391860+6 5.162860+1 8.350020+6100023501 159 5.296020+1 8.232990+6 5.593600+1 7.971460+6 6.090710+1 7.503040+6100023501 160 6.326510+1 7.280850+6 6.606830+1 7.003960+6 6.767540+1 6.846690+6100023501 161 7.222510+1 6.401450+6 7.237620+1 6.386660+6 7.609270+1 6.012740+6100023501 162 8.053030+1 5.556070+6 8.112540+1 5.494830+6 8.239070+1 5.364620+6100023501 163 8.485280+1 5.148030+6 9.013130+1 4.719860+6 9.240210+1 4.535660+6100023501 164 9.326500+1 4.464060+6 9.740040+1 4.120910+6 1.074610+2 3.480020+6100023501 165 1.105320+2 3.284390+6 1.108870+2 3.261770+6 1.223530+2 2.698360+6100023501 166 1.240940+2 2.628970+6 1.315870+2 2.330310+6 1.360310+2 2.186620+6100023501 167 1.435930+2 1.942110+6 1.512470+2 1.744150+6 1.554920+2 1.634350+6100023501 168 1.701190+2 1.344860+6 1.826910+2 1.148520+6 1.844550+2 1.120970+6100023501 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2.279230+1 -1 0 0 11100 1451 1 0.000000+0 0.000000+0 0 0 0 61100 1451 2 0.000000+0 0.000000+0 0 0 3 61100 1451 3 0.000000+0 0.000000+0 0 0 116 171100 1451 4 11-NA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1100 1451 6 ----ENDF/B-VI MATERIAL 1100 1100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1100 1451 8 ------ENDF-6 FORMAT 1100 1451 9 =================================================================1100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1100 1451 11 ENDF/B-VI FORMAT 1100 1451 12 =================================================================1100 1451 13 CONTENTS 1100 1451 14 =================================================================1100 1451 15 MF/MT DESCRIPTION 1100 1451 16 =================================================================1100 1451 17 23/501 TOTAL CROSS SECTION 1100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1100 1451 29 =================================================================1100 1451 30 27/502 COHERENT SCATTERING FORM FACTORS 1100 1451 31 27/504 INCOHERENT SCATTERING FUNCTIONS 1100 1451 32 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1100 1451 33 27/506 COHERENT REAL SCATTERING FACTOR 1100 1451 34 =================================================================1100 1451 35 WARNING 1100 1451 36 =================================================================1100 1451 37 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1100 1451 38 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1100 1451 39 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1100 1451 40 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1100 1451 41 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1100 1451 42 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1100 1451 43 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1100 1451 44 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1100 1451 45 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1100 1451 46 =================================================================1100 1451 47 DEFINITION OF NEW TYPES OF DATA 1100 1451 48 =================================================================1100 1451 49 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1100 1451 50 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1100 1451 51 1100 1451 52 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1100 1451 53 C2 FIELDS ARE, 1100 1451 54 1100 1451 55 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1100 1451 56 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1100 1451 57 1100 1451 58 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1100 1451 59 1100 1451 60 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1100 1451 61 1100 1451 62 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1100 1451 63 T = THE THOMSON CROSS SECTION 1100 1451 64 MU = THE COSINE OF THE SCATTERING ANGLE 1100 1451 65 FF(M) = THE ATOMIC FORM FACTOR 1100 1451 66 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1100 1451 67 F1(E) = THE REAL SCATTERING FACTOR 1100 1451 68 F2(E) = THE IMAGINARY SCATTERING FACTOR 1100 1451 69 1100 1451 70 F1(E) AND F2(E) ARE ISOTROPIC. 1100 1451 71 1100 1451 72 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1100 1451 73 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1100 1451 74 =================================================================1100 1451 75 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1100 1451 76 =================================================================1100 1451 77 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1100 1451 78 HERE - 10 EV TO 100 MEV 1100 1451 79 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1100 1451 80 - FLUORESCENCE AND ELECTRON SPECTRA 1100 1451 81 HERE - PHOTON INTERACTION 1100 1451 82 - AVERAGE FLUORESCENCE YIELD 1100 1451 83 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1100 1451 84 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1100 1451 85 HERE - NO SECONDARY ENERGY DATA 1100 1451 86 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1100 1451 87 INTERPOLABLE - SUMMATION CROSS SECTIONS 1100 1451 88 (E.G., TOTAL) ARE NOT INCLUDED 1100 1451 89 - FORM FACTORS ARE LOG X VS. LOG Y 1100 1451 90 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1100 1451 91 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1100 1451 92 ORDER TO ALLOW CROSS SECTIONS DEFINED 1100 1451 93 BY SUMMATION (E.G., TOTAL) TO BE 1100 1451 94 CONSISTENTLY DEFINED AT ALL ENERGIES. 1100 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1100 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1100 1451 97 =================================================================1100 1451 98 REFERENCES 1100 1451 99 =================================================================1100 1451 100 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1100 1451 101 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1100 1451 102 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1100 1451 103 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1100 1451 104 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1100 1451 105 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1100 1451 106 1100 1451 107 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1100 1451 108 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1100 1451 109 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1100 1451 110 OF THE DATA, ETC. 1100 1451 111 =================================================================1100 1451 112 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1100 1451 113 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1100 1451 114 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1100 1451 115 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1100 1451 116 *RECONSTRUCTED MT NUMBERS 1100 1451 117 516 =+(515,515)+(517,517) 1100 1451 118 522 =+(534,572) 1100 1451 119 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1100 1451 120 1 451 137 11100 1451 121 23 501 310 11100 1451 122 23 502 55 11100 1451 123 23 504 24 11100 1451 124 23 515 18 11100 1451 125 23 516 40 11100 1451 126 23 517 26 11100 1451 127 23 522 222 11100 1451 128 23 534 47 11100 1451 129 23 535 55 11100 1451 130 23 536 67 11100 1451 131 23 537 68 11100 1451 132 23 538 58 11100 1451 133 27 502 58 11100 1451 134 27 504 44 11100 1451 135 27 505 53 11100 1451 136 27 506 63 11100 1451 137 1100 1 0 138 1100 0 0 139 1.100000+4 2.279230+1 0 0 0 0110023501 140 0.000000+0 0.000000+0 0 0 1 920110023501 141 920 2 0 0 0 0110023501 142 1.000000+1 1.038810+5 1.083270+1 1.078800+5 1.154780+1 1.113130+5110023501 143 1.221350+1 1.145100+5 1.377040+1 1.219860+5 1.407860+1 1.220170+5110023501 144 1.605810+1 1.222160+5 1.688590+1 1.184060+5 1.988080+1 1.046230+5110023501 145 2.033810+1 1.025180+5 2.309400+1 9.248160+4 2.417040+1 8.856150+4110023501 146 2.560200+1 8.334779+4 2.714280+1 7.773650+4 2.773720+1 7.601840+4110023501 147 2.866980+1 7.332270+4 3.028260+1 6.866100+4 3.143100+1 6.534170+4110023501 148 3.175460+1 6.440640+4 3.255960+1 6.275880+4 3.262290+1 6.262920+4110023501 149 3.348510+1 6.086470+4 3.445170+1 5.888670+4 3.519490+1 5.736610+4110023501 150 3.550350+1 5.673500+4 3.572410+1 5.628410+4 3.613090+1 5.545320+4110023501 151 3.622000+1 5.527110+4 3.622000+1 1.768000+6 3.639900+1 1.812240+6110023501 152 3.642000+1 1.817430+6 3.642000+1 2.668410+6 3.666230+1 2.757850+6110023501 153 3.706320+1 2.905840+6 3.715000+1 2.937880+6 3.720220+1 2.957170+6110023501 154 3.746230+1 3.053300+6 3.846880+1 3.425290+6 4.156050+1 4.587700+6110023501 155 4.160240+1 4.603450+6 4.211090+1 4.787140+6 4.264010+1 4.961200+6110023501 156 4.456990+1 5.596700+6 4.485060+1 5.683660+6 4.508860+1 5.757390+6110023501 157 4.570040+1 5.940300+6 4.680590+1 6.270810+6 4.785400+1 6.522520+6110023501 158 4.792250+1 6.538990+6 5.166520+1 7.336450+6 5.310140+1 7.554900+6110023501 159 5.412340+1 7.677070+6 5.441410+1 7.711820+6 5.649930+1 7.961590+6110023501 160 5.847390+1 8.080240+6 6.186570+1 8.179350+6 6.244380+1 8.166230+6110023501 161 6.310140+1 8.151430+6 6.375050+1 8.136820+6 6.435000+1 8.123330+6110023501 162 6.448000+1 8.117110+6 6.448000+1 8.513090+6 6.529040+1 8.488470+6110023501 163 6.785200+1 8.410620+6 6.800320+1 8.400550+6 7.000000+1 8.267480+6110023501 164 7.067890+1 8.219000+6 7.237620+1 8.098000+6 7.437960+1 7.927500+6110023501 165 7.480880+1 7.890970+6 7.705130+1 7.686680+6 8.000000+1 7.374840+6110023501 166 8.239070+1 7.122230+6 8.657190+1 6.659240+6 9.060480+1 6.260370+6110023501 167 9.158210+1 6.163720+6 9.240210+1 6.086370+6 9.361390+1 5.967690+6110023501 168 9.527440+1 5.805200+6 1.017150+2 5.174950+6 1.018370+2 5.165280+6110023501 169 1.051990+2 4.921590+6 1.074610+2 4.753730+6 1.100840+2 4.559080+6110023501 170 1.132610+2 4.323480+6 1.149560+2 4.209350+6 1.228630+2 3.725170+6110023501 171 1.229450+2 3.720880+6 1.244750+2 3.640980+6 1.286400+2 3.423480+6110023501 172 1.303480+2 3.334290+6 1.357550+2 3.072780+6 1.403780+2 2.886940+6110023501 173 1.419790+2 2.822610+6 1.424000+2 2.807180+6 1.500000+2 2.533890+6110023501 174 1.512470+2 2.494340+6 1.573140+2 2.301930+6 1.611850+2 2.189420+6110023501 175 1.655920+2 2.061400+6 1.693690+2 1.968530+6 1.732050+2 1.874210+6110023501 176 1.771420+2 1.781030+6 1.777690+2 1.768100+6 1.778280+2 1.767010+6110023501 177 1.795470+2 1.735090+6 1.920700+2 1.502800+6 1.951200+2 1.453790+6110023501 178 2.103980+2 1.229640+6 2.113340+2 1.215920+6 2.132070+2 1.190040+6110023501 179 2.158830+2 1.158830+6 2.180840+2 1.134320+6 2.286410+2 1.016800+6110023501 180 2.318750+2 9.828510+5 2.388200+2 9.204510+5 2.421040+2 8.909770+5110023501 181 2.447070+2 8.687940+5 2.491710+2 8.333670+5 2.506390+2 8.231990+5110023501 182 2.631750+2 7.363700+5 2.676670+2 7.075370+5 2.709780+2 6.863070+5110023501 183 2.871850+2 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1.154990-5 9.049140+5 5.217880-6 9.928240+5 3.423900-7110027506 1362 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0110027506 1363 110027 0 1364 1100 0 0 1365 0 0 0 1366 1.200000+4 2.409620+1 -1 0 0 11200 1451 1 0.000000+0 0.000000+0 0 0 0 61200 1451 2 0.000000+0 0.000000+0 0 0 3 61200 1451 3 0.000000+0 0.000000+0 0 0 116 171200 1451 4 12-MG- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1200 1451 6 ----ENDF/B-VI MATERIAL 1200 1200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1200 1451 8 ------ENDF-6 FORMAT 1200 1451 9 =================================================================1200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1200 1451 11 ENDF/B-VI FORMAT 1200 1451 12 =================================================================1200 1451 13 CONTENTS 1200 1451 14 =================================================================1200 1451 15 MF/MT DESCRIPTION 1200 1451 16 =================================================================1200 1451 17 23/501 TOTAL CROSS SECTION 1200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1200 1451 29 =================================================================1200 1451 30 27/502 COHERENT SCATTERING FORM FACTORS 1200 1451 31 27/504 INCOHERENT SCATTERING FUNCTIONS 1200 1451 32 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1200 1451 33 27/506 COHERENT REAL SCATTERING FACTOR 1200 1451 34 =================================================================1200 1451 35 WARNING 1200 1451 36 =================================================================1200 1451 37 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1200 1451 38 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1200 1451 39 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1200 1451 40 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1200 1451 41 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1200 1451 42 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1200 1451 43 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1200 1451 44 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1200 1451 45 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1200 1451 46 =================================================================1200 1451 47 DEFINITION OF NEW TYPES OF DATA 1200 1451 48 =================================================================1200 1451 49 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1200 1451 50 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1200 1451 51 1200 1451 52 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1200 1451 53 C2 FIELDS ARE, 1200 1451 54 1200 1451 55 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1200 1451 56 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1200 1451 57 1200 1451 58 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1200 1451 59 1200 1451 60 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1200 1451 61 1200 1451 62 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1200 1451 63 T = THE THOMSON CROSS SECTION 1200 1451 64 MU = THE COSINE OF THE SCATTERING ANGLE 1200 1451 65 FF(M) = THE ATOMIC FORM FACTOR 1200 1451 66 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1200 1451 67 F1(E) = THE REAL SCATTERING FACTOR 1200 1451 68 F2(E) = THE IMAGINARY SCATTERING FACTOR 1200 1451 69 1200 1451 70 F1(E) AND F2(E) ARE ISOTROPIC. 1200 1451 71 1200 1451 72 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1200 1451 73 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1200 1451 74 =================================================================1200 1451 75 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1200 1451 76 =================================================================1200 1451 77 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1200 1451 78 HERE - 10 EV TO 100 MEV 1200 1451 79 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1200 1451 80 - FLUORESCENCE AND ELECTRON SPECTRA 1200 1451 81 HERE - PHOTON INTERACTION 1200 1451 82 - AVERAGE FLUORESCENCE YIELD 1200 1451 83 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1200 1451 84 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1200 1451 85 HERE - NO SECONDARY ENERGY DATA 1200 1451 86 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1200 1451 87 INTERPOLABLE - SUMMATION CROSS SECTIONS 1200 1451 88 (E.G., TOTAL) ARE NOT INCLUDED 1200 1451 89 - FORM FACTORS ARE LOG X VS. LOG Y 1200 1451 90 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1200 1451 91 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1200 1451 92 ORDER TO ALLOW CROSS SECTIONS DEFINED 1200 1451 93 BY SUMMATION (E.G., TOTAL) TO BE 1200 1451 94 CONSISTENTLY DEFINED AT ALL ENERGIES. 1200 1451 95 - FORM FACTORS ARE LOG X VS. LOG Y 1200 1451 96 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1200 1451 97 =================================================================1200 1451 98 REFERENCES 1200 1451 99 =================================================================1200 1451 100 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1200 1451 101 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1200 1451 102 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1200 1451 103 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1200 1451 104 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1200 1451 105 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1200 1451 106 1200 1451 107 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1200 1451 108 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1200 1451 109 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1200 1451 110 OF THE DATA, ETC. 1200 1451 111 =================================================================1200 1451 112 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1200 1451 113 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1200 1451 114 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1200 1451 115 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1200 1451 116 *RECONSTRUCTED MT NUMBERS 1200 1451 117 516 =+(515,515)+(517,517) 1200 1451 118 522 =+(534,572) 1200 1451 119 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1200 1451 120 1 451 137 11200 1451 121 23 501 285 11200 1451 122 23 502 59 11200 1451 123 23 504 25 11200 1451 124 23 515 18 11200 1451 125 23 516 40 11200 1451 126 23 517 26 11200 1451 127 23 522 190 11200 1451 128 23 534 46 11200 1451 129 23 535 52 11200 1451 130 23 536 66 11200 1451 131 23 537 66 11200 1451 132 23 538 60 11200 1451 133 27 502 55 11200 1451 134 27 504 43 11200 1451 135 27 505 53 11200 1451 136 27 506 65 11200 1451 137 1200 1 0 138 1200 0 0 139 1.200000+4 2.409620+1 0 0 0 0120023501 140 0.000000+0 0.000000+0 0 0 1 844120023501 141 844 2 0 0 0 0120023501 142 1.000000+1 1.020330+4 1.025660+1 1.289890+4 1.045350+1 1.537840+4120023501 143 1.075580+1 2.001920+4 1.091020+1 2.301850+4 1.106680+1 2.606050+4120023501 144 1.144110+1 3.476430+4 1.145740+1 3.524410+4 1.154780+1 3.790510+4120023501 145 1.177200+1 4.450470+4 1.205090+1 5.453010+4 1.228630+1 6.299190+4120023501 146 1.283170+1 8.792640+4 1.301880+1 9.648020+4 1.397430+1 1.497180+5120023501 147 1.407860+1 1.555290+5 1.500000+1 2.068660+5 1.579580+1 2.393620+5120023501 148 1.603730+1 2.456840+5 1.649420+1 2.576430+5 1.688590+1 2.619160+5120023501 149 1.766950+1 2.704640+5 1.988080+1 2.642880+5 2.309400+1 2.553130+5120023501 150 2.628130+1 2.464100+5 2.773720+1 2.434610+5 3.000000+1 2.388770+5120023501 151 3.255960+1 2.265920+5 3.722420+1 2.042040+5 3.746230+1 2.032830+5120023501 152 4.037070+1 1.920360+5 4.404790+1 1.778170+5 4.485060+1 1.747130+5120023501 153 4.728710+1 1.652910+5 4.806000+1 1.628380+5 5.037710+1 1.554870+5120023501 154 5.117400+1 1.529580+5 5.265620+1 1.482560+5 5.396080+1 1.441170+5120023501 155 5.412340+1 1.436010+5 5.462520+1 1.420100+5 5.477230+1 1.415430+5120023501 156 5.522400+1 1.403720+5 5.556980+1 1.394760+5 5.624000+1 1.377400+5120023501 157 5.624000+1 1.377740+6 5.632450+1 1.398740+6 5.655000+1 1.454800+6120023501 158 5.655000+1 2.069820+6 5.657520+1 2.079180+6 5.692050+1 2.207430+6120023501 159 5.748120+1 2.415690+6 5.774200+1 2.512550+6 5.814290+1 2.668970+6120023501 160 6.058090+1 3.657630+6 6.160500+1 4.062740+6 6.214170+1 4.275050+6120023501 161 6.304430+1 4.590340+6 6.310140+1 4.609080+6 6.447420+1 5.059650+6120023501 162 6.493420+1 5.210900+6 6.554680+1 5.378190+6 6.667010+1 5.654570+6120023501 163 6.762560+1 5.889670+6 6.821150+1 5.998910+6 7.116550+1 6.454520+6120023501 164 7.117820+1 6.456480+6 7.268840+1 6.604370+6 7.437960+1 6.721060+6120023501 165 7.444840+1 6.725810+6 7.506750+1 6.768860+6 7.543880+1 6.794680+6120023501 166 7.703710+1 6.827450+6 8.222540+1 6.815590+6 8.321390+1 6.786470+6120023501 167 8.656630+1 6.687710+6 8.720870+1 6.660420+6 8.844790+1 6.607770+6120023501 168 8.944270+1 6.565510+6 8.944330+1 6.565480+6 8.946000+1 6.564780+6120023501 169 8.946000+1 7.150700+6 9.037020+1 7.111250+6 9.060480+1 7.101080+6120023501 170 9.125000+1 7.073110+6 9.886190+1 6.599650+6 1.044270+2 6.223050+6120023501 171 1.104000+2 5.820420+6 1.128570+2 5.654800+6 1.161460+2 5.433090+6120023501 172 1.176400+2 5.331680+6 1.194100+2 5.211910+6 1.261620+2 4.750170+6120023501 173 1.276670+2 4.647250+6 1.288390+2 4.572560+6 1.312690+2 4.436840+6120023501 174 1.343300+2 4.265880+6 1.395570+2 3.974780+6 1.431780+2 3.770650+6120023501 175 1.476640+2 3.575150+6 1.540250+2 3.297930+6 1.580270+2 3.123920+6120023501 176 1.592570+2 3.070440+6 1.690850+2 2.755270+6 1.771420+2 2.497440+6120023501 177 1.867410+2 2.247120+6 1.891130+2 2.185260+6 1.905920+2 2.146770+6120023501 178 1.938760+2 2.063290+6 1.959810+2 2.009780+6 2.099620+2 1.734800+6120023501 179 2.103980+2 1.727920+6 2.206730+2 1.566290+6 2.280610+2 1.450070+6120023501 180 2.297300+2 1.428440+6 2.388200+2 1.316470+6 2.469170+2 1.217020+6120023501 181 2.525480+2 1.161670+6 2.676670+2 1.013060+6 2.715880+2 9.746250+5120023501 182 2.742400+2 9.547140+5 2.958920+2 7.987220+5 3.019560+2 7.646340+5120023501 183 3.091960+2 7.259160+5 3.109840+2 7.163540+5 3.223710+2 6.556360+5120023501 184 3.389380+2 5.828240+5 3.402370+2 5.773790+5 3.498610+2 5.371690+5120023501 185 3.785520+2 4.440330+5 3.789950+2 4.425950+5 3.806680+2 4.371810+5120023501 186 3.900750+2 4.123540+5 4.032140+2 3.800460+5 4.207960+2 3.440410+5120023501 187 4.320380+2 3.210960+5 4.416310+2 3.048420+5 4.473370+2 2.959820+5120023501 188 4.598240+2 2.765940+5 4.707020+2 2.597660+5 4.922640+2 2.316760+5120023501 189 5.000000+2 2.231610+5 5.056650+2 2.173580+5 5.324010+2 1.900970+5120023501 190 5.613080+2 1.663800+5 5.667460+2 1.622820+5 5.772230+2 1.544230+5120023501 191 5.923560+2 1.450010+5 6.073660+2 1.356550+5 6.099280+2 1.341760+5120023501 192 6.311940+2 1.237600+5 6.348530+2 1.219770+5 6.516290+2 1.137980+5120023501 193 6.676500+2 1.071850+5 6.897360+2 9.879479+4 7.076460+2 9.202490+4120023501 194 7.319150+2 8.412350+4 7.389060+2 8.205000+4 7.584970+2 7.707879+4120023501 195 7.969700+2 6.737040+4 8.182150+2 6.290520+4 8.262250+2 6.143080+4120023501 196 8.616310+2 5.494940+4 9.000000+2 4.895920+4 9.026210+2 4.855170+4120023501 197 9.045530+2 4.825140+4 9.087010+2 4.768070+4 9.685910+2 4.054630+4120023501 198 9.874190+2 3.860070+4 1.000000+3 3.730830+4 1.023320+3 3.514930+4120023501 199 1.045110+3 3.313150+4 1.058510+3 3.206930+4 1.092250+3 2.941170+4120023501 200 1.123560+3 2.721470+4 1.166980+3 2.457890+4 1.174860+3 2.415610+4120023501 201 1.181010+3 2.382890+4 1.191980+3 2.324470+4 1.211870+3 2.231910+4120023501 202 1.235370+3 2.122410+4 1.245530+3 2.075070+4 1.258710+3 2.013520+4120023501 203 1.268570+3 1.967360+4 1.269920+3 1.961020+4 1.280740+3 1.915760+4120023501 204 1.283890+3 1.902630+4 1.286380+3 1.892300+4 1.288770+3 1.882440+4120023501 205 1.289170+3 1.881040+4 1.294090+3 1.864040+4 1.294500+3 1.862650+4120023501 206 1.294500+3 2.237400+5 1.297780+3 2.226400+5 1.301770+3 2.213020+5120023501 207 1.304000+3 2.205550+5 1.308080+3 2.191890+5 1.314890+3 2.169070+5120023501 208 1.321380+3 2.147300+5 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5.603930+1-1.581070+1 5.632450+1-1.594810+1120027506 1250 5.657520+1-1.602240+1 5.683190+1-1.600570+1 5.700920+1-1.595480+1120027506 1251 5.748120+1-1.583800+1 6.304430+1-1.558230+1 6.667010+1-1.518610+1120027506 1252 6.923650+1-1.477750+1 7.314830+1-1.410350+1 7.703710+1-1.341770+1120027506 1253 8.321390+1-1.255600+1 8.720870+1-1.229900+1 8.844790+1-1.247200+1120027506 1254 8.909170+1-1.258680+1 8.979630+1-1.248370+1 9.037020+1-1.221780+1120027506 1255 9.125000+1-1.180030+1 9.407130+1-1.098570+1 1.006470+2-9.710740+0120027506 1256 1.076950+2-8.642160+0 1.182670+2-7.312630+0 1.261620+2-6.493140+0120027506 1257 1.395570+2-5.417130+0 1.562420+2-4.478910+0 1.763680+2-3.683180+0120027506 1258 1.938760+2-3.147990+0 2.103980+2-2.830150+0 2.297300+2-2.523540+0120027506 1259 2.469170+2-2.317100+0 2.676670+2-2.104510+0 3.019560+2-1.901250+0120027506 1260 3.223710+2-1.815130+0 3.498610+2-1.735220+0 3.842200+2-1.676420+0120027506 1261 4.320520+2-1.652870+0 4.868630+2-1.646670+0 5.383180+2-1.666580+0120027506 1262 5.828580+2-1.713520+0 6.348530+2-1.779120+0 7.255310+2-1.887240+0120027506 1263 8.182150+2-2.061180+0 8.616310+2-2.150650+0 9.087010+2-2.272870+0120027506 1264 9.685910+2-2.442220+0 1.023320+3-2.628570+0 1.123560+3-3.158160+0120027506 1265 1.181010+3-3.655180+0 1.211870+3-4.066990+0 1.245530+3-4.793480+0120027506 1266 1.258710+3-5.272080+0 1.265090+3-5.603220+0 1.268570+3-5.830940+0120027506 1267 1.270910+3-6.006920+0 1.273040+3-6.185320+0 1.274360+3-6.303610+0120027506 1268 1.275600+3-6.420190+0 1.276760+3-6.534270+0 1.278370+3-6.695980+0120027506 1269 1.279850+3-6.849060+0 1.281630+3-7.032230+0 1.283890+3-7.256290+0120027506 1270 1.286380+3-7.477220+0 1.289170+3-7.672550+0 1.294090+3-7.800880+0120027506 1271 1.299010+3-7.645810+0 1.304540+3-7.203420+0 1.308080+3-6.803900+0120027506 1272 1.314890+3-6.098010+0 1.321380+3-5.508550+0 1.333550+3-4.773410+0120027506 1273 1.354850+3-3.992880+0 1.370820+3-3.574030+0 1.394790+3-3.086080+0120027506 1274 1.418750+3-2.714040+0 1.465220+3-2.150900+0 1.500070+3-1.803820+0120027506 1275 1.552350+3-1.378820+0 1.578490+3-1.204810+0 1.670290+3-7.552330-1120027506 1276 1.703120+3-6.209460-1 1.735950+3-5.177540-1 1.831460+3-2.586500-1120027506 1277 1.847380+3-2.237810-1 1.890750+3-1.540500-1 1.958670+3-2.093090-2120027506 1278 1.986810+3 3.454140-2 2.010820+3 7.670130-2 2.028830+3 1.055630-1120027506 1279 2.042340+3 1.252220-1 2.060070+3 1.475510-1 2.077170+3 1.628640-1120027506 1280 2.081440+3 1.644320-1 2.084550+3 1.636090-1 2.095760+3 1.697590-1120027506 1281 2.107070+3 1.795180-1 2.213360+3 2.919610-1 2.280890+3 3.469820-1120027506 1282 2.411120+3 3.864360-1 2.580950+3 4.583560-1 2.855590+3 5.028020-1120027506 1283 3.277010+3 5.176600-1 3.792280+3 5.032990-1 4.103010+3 4.852210-1120027506 1284 5.152110+3 4.010820-1 5.839100+3 3.536400-1 7.101971+3 2.834610-1120027506 1285 8.215970+3 2.357020-1 9.518180+3 1.936850-1 1.088920+4 1.612000-1120027506 1286 1.264330+4 1.298080-1 1.465580+4 1.033270-1 1.596580+4 9.041600-2120027506 1287 1.820060+4 7.325260-2 1.959340+4 6.511730-2 2.143780+4 5.650660-2120027506 1288 2.373250+4 4.770780-2 2.659590+4 3.931010-2 3.043120+4 3.124060-2120027506 1289 3.429800+4 2.541800-2 3.763430+4 2.171990-2 4.000000+4 1.951650-2120027506 1290 4.564680+4 1.548580-2 4.853490+4 1.387790-2 5.198140+4 1.227720-2120027506 1291 6.000000+4 9.366490-3 6.701430+4 7.499680-3 7.128470+4 6.620810-3120027506 1292 7.551670+4 5.896040-3 8.000000+4 5.249810-3 8.715240+4 4.424230-3120027506 1293 9.281950+4 3.891170-3 9.894100+4 3.420330-3 1.049120+5 3.038630-3120027506 1294 1.127060+5 2.628170-3 1.206850+5 2.287660-3 1.300540+5 1.965310-3120027506 1295 1.463890+5 1.544060-3 1.572750+5 1.335470-3 1.668630+5 1.181700-3120027506 1296 1.771420+5 1.044820-3 1.882240+5 9.219000-4 2.000000+5 8.131940-4120027506 1297 2.151150+5 6.978550-4 2.286410+5 6.140370-4 2.563070+5 4.808340-4120027506 1298 2.809850+5 3.947800-4 3.013590+5 3.384550-4 3.293030+5 2.779580-4120027506 1299 3.689100+5 2.146030-4 4.007610+5 1.767840-4 4.411080+5 1.399490-4120027506 1300 4.633750+5 1.239750-4 5.013840+5 1.006970-4 5.551570+5 7.588990-5120027506 1301 6.022760+5 5.939350-5 6.568080+5 4.463210-5 6.992390+5 3.533990-5120027506 1302 7.484420+5 2.654810-5 8.120780+5 1.745830-5 8.820400+5 9.654110-6120027506 1303 9.818970+5 1.261220-6 1.000000+6 0.000000+0 1.000000+8 0.000000+0120027506 1304 120027 0 1305 1200 0 0 1306 0 0 0 1307 1.300000+4 2.674980+1 -1 0 0 11300 1451 1 0.000000+0 0.000000+0 0 0 0 61300 1451 2 0.000000+0 0.000000+0 0 0 3 61300 1451 3 0.000000+0 0.000000+0 0 0 118 191300 1451 4 13-AL- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1300 1451 6 ----ENDF/B-VI MATERIAL 1300 1300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1300 1451 8 ------ENDF-6 FORMAT 1300 1451 9 =================================================================1300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1300 1451 11 ENDF/B-VI FORMAT 1300 1451 12 =================================================================1300 1451 13 CONTENTS 1300 1451 14 =================================================================1300 1451 15 MF/MT DESCRIPTION 1300 1451 16 =================================================================1300 1451 17 23/501 TOTAL CROSS SECTION 1300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1300 1451 31 =================================================================1300 1451 32 27/502 COHERENT SCATTERING FORM FACTORS 1300 1451 33 27/504 INCOHERENT SCATTERING FUNCTIONS 1300 1451 34 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1300 1451 35 27/506 COHERENT REAL SCATTERING FACTOR 1300 1451 36 =================================================================1300 1451 37 WARNING 1300 1451 38 =================================================================1300 1451 39 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1300 1451 40 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1300 1451 41 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1300 1451 42 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1300 1451 43 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1300 1451 44 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1300 1451 45 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1300 1451 46 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1300 1451 47 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1300 1451 48 =================================================================1300 1451 49 DEFINITION OF NEW TYPES OF DATA 1300 1451 50 =================================================================1300 1451 51 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1300 1451 52 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1300 1451 53 1300 1451 54 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1300 1451 55 C2 FIELDS ARE, 1300 1451 56 1300 1451 57 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1300 1451 58 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1300 1451 59 1300 1451 60 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1300 1451 61 1300 1451 62 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1300 1451 63 1300 1451 64 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1300 1451 65 T = THE THOMSON CROSS SECTION 1300 1451 66 MU = THE COSINE OF THE SCATTERING ANGLE 1300 1451 67 FF(M) = THE ATOMIC FORM FACTOR 1300 1451 68 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1300 1451 69 F1(E) = THE REAL SCATTERING FACTOR 1300 1451 70 F2(E) = THE IMAGINARY SCATTERING FACTOR 1300 1451 71 1300 1451 72 F1(E) AND F2(E) ARE ISOTROPIC. 1300 1451 73 1300 1451 74 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1300 1451 75 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1300 1451 76 =================================================================1300 1451 77 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1300 1451 78 =================================================================1300 1451 79 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1300 1451 80 HERE - 10 EV TO 100 MEV 1300 1451 81 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1300 1451 82 - FLUORESCENCE AND ELECTRON SPECTRA 1300 1451 83 HERE - PHOTON INTERACTION 1300 1451 84 - AVERAGE FLUORESCENCE YIELD 1300 1451 85 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1300 1451 86 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1300 1451 87 HERE - NO SECONDARY ENERGY DATA 1300 1451 88 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1300 1451 89 INTERPOLABLE - SUMMATION CROSS SECTIONS 1300 1451 90 (E.G., TOTAL) ARE NOT INCLUDED 1300 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 1300 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1300 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1300 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 1300 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 1300 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 1300 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 1300 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1300 1451 99 =================================================================1300 1451 100 REFERENCES 1300 1451 101 =================================================================1300 1451 102 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1300 1451 103 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1300 1451 104 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1300 1451 105 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1300 1451 106 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1300 1451 107 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1300 1451 108 1300 1451 109 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1300 1451 110 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1300 1451 111 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1300 1451 112 OF THE DATA, ETC. 1300 1451 113 =================================================================1300 1451 114 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1300 1451 115 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1300 1451 116 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1300 1451 117 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1300 1451 118 *RECONSTRUCTED MT NUMBERS 1300 1451 119 516 =+(515,515)+(517,517) 1300 1451 120 522 =+(534,572) 1300 1451 121 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1300 1451 122 1 451 141 11300 1451 123 23 501 363 11300 1451 124 23 502 58 11300 1451 125 23 504 25 11300 1451 126 23 515 18 11300 1451 127 23 516 40 11300 1451 128 23 517 26 11300 1451 129 23 522 271 11300 1451 130 23 534 45 11300 1451 131 23 535 52 11300 1451 132 23 536 65 11300 1451 133 23 537 65 11300 1451 134 23 538 59 11300 1451 135 23 539 71 11300 1451 136 23 540 72 11300 1451 137 27 502 51 11300 1451 138 27 504 41 11300 1451 139 27 505 56 11300 1451 140 27 506 66 11300 1451 141 1300 1 0 142 1300 0 0 143 1.300000+4 2.674980+1 0 0 0 0130023501 144 0.000000+0 0.000000+0 0 0 1 1079130023501 145 1079 2 0 0 0 0130023501 146 1.000000+1 2.120220+6 1.011820+1 2.013740+6 1.016000+1 1.976080+6130023501 147 1.016000+1 2.098750+6 1.027490+1 1.994050+6 1.032490+1 1.948490+6130023501 148 1.083210+1 1.578170+6 1.136430+1 1.282690+6 1.156320+1 1.184340+6130023501 149 1.161600+1 1.160430+6 1.194550+1 1.013540+6 1.212820+1 9.457450+5130023501 150 1.218810+1 9.256870+5 1.245470+1 8.364110+5 1.245590+1 8.360750+5130023501 151 1.272660+1 7.601180+5 1.274760+1 7.543660+5 1.304740+1 6.798110+5130023501 152 1.327680+1 6.328290+5 1.339790+1 6.101910+5 1.367540+1 5.583170+5130023501 153 1.368810+1 5.560470+5 1.386820+1 5.290280+5 1.394860+1 5.180610+5130023501 154 1.408650+1 4.992510+5 1.414290+1 4.915580+5 1.442300+1 4.589790+5130023501 155 1.470870+1 4.286180+5 1.477060+1 4.228770+5 1.500000+1 4.027580+5130023501 156 1.576030+1 3.653290+5 1.640000+1 3.464620+5 1.655920+1 3.417670+5130023501 157 1.741810+1 3.401910+5 1.771420+1 3.414900+5 1.787710+1 3.438960+5130023501 158 1.844550+1 3.522880+5 1.882240+1 3.609540+5 1.959950+1 3.863330+5130023501 159 1.980960+1 3.931940+5 2.000000+1 3.994120+5 2.068610+1 4.152200+5130023501 160 2.103980+1 4.233690+5 2.123890+1 4.286900+5 2.199390+1 4.389050+5130023501 161 2.313720+1 4.579330+5 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1.941740+3-1.054530+0 2.020140+3-7.287390-1 2.059760+3-5.942790-1130027506 1581 2.179710+3-3.105050-1 2.239960+3-1.855640-1 2.335200+3-3.855930-2130027506 1582 2.391230+3 4.870650-2 2.424030+3 8.972310-2 2.447070+3 1.086710-1130027506 1583 2.541210+3 2.121560-1 2.573540+3 2.441030-1 2.604710+3 2.691530-1130027506 1584 2.733730+3 3.451590-1 2.765920+3 3.507410-1 2.964180+3 4.507480-1130027506 1585 3.000000+3 4.624280-1 3.213140+3 4.840100-1 3.381560+3 5.164420-1130027506 1586 3.762770+3 5.307100-1 4.690260+3 4.995920-1 7.157471+3 3.445910-1130027506 1587 8.973781+3 2.666150-1 1.090360+4 2.055000-1 1.287460+4 1.635710-1130027506 1588 1.465730+4 1.355070-1 1.694650+4 1.092190-1 1.946420+4 8.771500-2130027506 1589 2.194910+4 7.217000-2 2.394870+4 6.278730-2 2.723640+4 5.071400-2130027506 1590 2.926550+4 4.503790-2 3.197090+4 3.897200-2 3.541790+4 3.273740-2130027506 1591 4.000000+4 2.651430-2 4.564680+4 2.104800-2 5.175400+4 1.689240-2130027506 1592 5.601520+4 1.470270-2 6.000000+4 1.300200-2 6.466060+4 1.138260-2130027506 1593 7.468690+4 8.655410-3 7.904210+4 7.728520-3 8.471520+4 6.718020-3130027506 1594 8.958729+4 6.002190-3 9.691079+4 5.117640-3 1.080120+5 4.105900-3130027506 1595 1.167790+5 3.505820-3 1.249460+5 3.062170-3 1.324320+5 2.718900-3130027506 1596 1.408180+5 2.397330-3 1.502720+5 2.100960-3 1.613680+5 1.812810-3130027506 1597 1.822500+5 1.410750-3 1.980790+5 1.187380-3 2.090460+5 1.061120-3130027506 1598 2.225220+5 9.302980-4 2.384550+5 8.053310-4 2.536500+5 7.066470-4130027506 1599 2.845560+5 5.500910-4 3.028740+5 4.799040-4 3.272130+5 4.048950-4130027506 1600 3.486430+5 3.502710-4 3.880460+5 2.737910-4 4.153900+5 2.328890-4130027506 1601 4.410200+5 2.007770-4 4.869120+5 1.560540-4 5.046020+5 1.418750-4130027506 1602 5.502370+5 1.116090-4 6.000000+5 8.616640-5 6.382540+5 7.052740-5130027506 1603 7.002560+5 5.036830-5 7.682820+5 3.365680-5 8.226280+5 2.320340-5130027506 1604 9.058790+5 1.061430-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0130027506 1605 130027 0 1606 1300 0 0 1607 0 0 0 1608 1.400000+4 2.784470+1 -1 0 0 11400 1451 1 0.000000+0 0.000000+0 0 0 0 61400 1451 2 0.000000+0 0.000000+0 0 0 3 61400 1451 3 0.000000+0 0.000000+0 0 0 118 191400 1451 4 14-SI- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1400 1451 6 ----ENDF/B-VI MATERIAL 1400 1400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1400 1451 8 ------ENDF-6 FORMAT 1400 1451 9 =================================================================1400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1400 1451 11 ENDF/B-VI FORMAT 1400 1451 12 =================================================================1400 1451 13 CONTENTS 1400 1451 14 =================================================================1400 1451 15 MF/MT DESCRIPTION 1400 1451 16 =================================================================1400 1451 17 23/501 TOTAL CROSS SECTION 1400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1400 1451 31 =================================================================1400 1451 32 27/502 COHERENT SCATTERING FORM FACTORS 1400 1451 33 27/504 INCOHERENT SCATTERING FUNCTIONS 1400 1451 34 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1400 1451 35 27/506 COHERENT REAL SCATTERING FACTOR 1400 1451 36 =================================================================1400 1451 37 WARNING 1400 1451 38 =================================================================1400 1451 39 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1400 1451 40 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1400 1451 41 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1400 1451 42 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1400 1451 43 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1400 1451 44 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1400 1451 45 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1400 1451 46 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1400 1451 47 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1400 1451 48 =================================================================1400 1451 49 DEFINITION OF NEW TYPES OF DATA 1400 1451 50 =================================================================1400 1451 51 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1400 1451 52 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1400 1451 53 1400 1451 54 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1400 1451 55 C2 FIELDS ARE, 1400 1451 56 1400 1451 57 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1400 1451 58 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1400 1451 59 1400 1451 60 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1400 1451 61 1400 1451 62 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1400 1451 63 1400 1451 64 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1400 1451 65 T = THE THOMSON CROSS SECTION 1400 1451 66 MU = THE COSINE OF THE SCATTERING ANGLE 1400 1451 67 FF(M) = THE ATOMIC FORM FACTOR 1400 1451 68 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1400 1451 69 F1(E) = THE REAL SCATTERING FACTOR 1400 1451 70 F2(E) = THE IMAGINARY SCATTERING FACTOR 1400 1451 71 1400 1451 72 F1(E) AND F2(E) ARE ISOTROPIC. 1400 1451 73 1400 1451 74 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1400 1451 75 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1400 1451 76 =================================================================1400 1451 77 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1400 1451 78 =================================================================1400 1451 79 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1400 1451 80 HERE - 10 EV TO 100 MEV 1400 1451 81 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1400 1451 82 - FLUORESCENCE AND ELECTRON SPECTRA 1400 1451 83 HERE - PHOTON INTERACTION 1400 1451 84 - AVERAGE FLUORESCENCE YIELD 1400 1451 85 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1400 1451 86 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1400 1451 87 HERE - NO SECONDARY ENERGY DATA 1400 1451 88 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1400 1451 89 INTERPOLABLE - SUMMATION CROSS SECTIONS 1400 1451 90 (E.G., TOTAL) ARE NOT INCLUDED 1400 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 1400 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1400 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1400 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 1400 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 1400 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 1400 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 1400 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1400 1451 99 =================================================================1400 1451 100 REFERENCES 1400 1451 101 =================================================================1400 1451 102 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1400 1451 103 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1400 1451 104 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1400 1451 105 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1400 1451 106 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1400 1451 107 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1400 1451 108 1400 1451 109 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1400 1451 110 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1400 1451 111 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1400 1451 112 OF THE DATA, ETC. 1400 1451 113 =================================================================1400 1451 114 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1400 1451 115 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1400 1451 116 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1400 1451 117 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1400 1451 118 *RECONSTRUCTED MT NUMBERS 1400 1451 119 516 =+(515,515)+(517,517) 1400 1451 120 522 =+(534,572) 1400 1451 121 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1400 1451 122 1 451 141 11400 1451 123 23 501 362 11400 1451 124 23 502 60 11400 1451 125 23 504 25 11400 1451 126 23 515 18 11400 1451 127 23 516 39 11400 1451 128 23 517 26 11400 1451 129 23 522 267 11400 1451 130 23 534 44 11400 1451 131 23 535 51 11400 1451 132 23 536 64 11400 1451 133 23 537 63 11400 1451 134 23 538 62 11400 1451 135 23 539 71 11400 1451 136 23 540 72 11400 1451 137 27 502 52 11400 1451 138 27 504 42 11400 1451 139 27 505 54 11400 1451 140 27 506 69 11400 1451 141 1400 1 0 142 1400 0 0 143 1.400000+4 2.784470+1 0 0 0 0140023501 144 0.000000+0 0.000000+0 0 0 1 1075140023501 145 1075 2 0 0 0 0140023501 146 1.000000+1 1.408080+7 1.049220+1 1.153220+7 1.049910+1 1.150350+7140023501 147 1.087720+1 9.928360+6 1.135290+1 8.355480+6 1.148130+1 7.930940+6140023501 148 1.218810+1 6.177140+6 1.232840+1 5.829020+6 1.286820+1 4.733190+6140023501 149 1.354720+1 3.686580+6 1.363000+1 3.587470+6 1.363000+1 3.588550+6140023501 150 1.374780+1 3.447840+6 1.384720+1 3.329170+6 1.394860+1 3.208190+6140023501 151 1.395870+1 3.196140+6 1.404170+1 3.097190+6 1.407910+1 3.052610+6140023501 152 1.416720+1 2.947690+6 1.418840+1 2.925510+6 1.434150+1 2.765530+6140023501 153 1.443950+1 2.663290+6 1.444920+1 2.654150+6 1.457950+1 2.531620+6140023501 154 1.471710+1 2.402560+6 1.473300+1 2.389620+6 1.486590+1 2.281880+6140023501 155 1.509940+1 2.093560+6 1.516950+1 2.037390+6 1.530010+1 1.939620+6140023501 156 1.534090+1 1.909320+6 1.558920+1 1.752610+6 1.564560+1 1.717460+6140023501 157 1.566220+1 1.707920+6 1.589650+1 1.573380+6 1.595640+1 1.539290+6140023501 158 1.619340+1 1.428620+6 1.623870+1 1.409390+6 1.640000+1 1.342260+6140023501 159 1.645530+1 1.319240+6 1.661690+1 1.251990+6 1.680170+1 1.190140+6140023501 160 1.713070+1 1.090720+6 1.736860+1 1.019240+6 1.784550+1 9.144450+5140023501 161 1.795470+1 8.894770+5 1.858690+1 7.957540+5 1.861210+1 7.917180+5140023501 162 1.929360+1 7.094800+5 1.935530+1 7.050350+5 1.980960+1 6.723070+5140023501 163 2.000000+1 6.585910+5 2.034760+1 6.436750+5 2.103980+1 6.139730+5140023501 164 2.189930+1 6.027740+5 2.242480+1 5.959260+5 2.299120+1 5.988790+5140023501 165 2.365370+1 6.007240+5 2.388200+1 6.038310+5 2.425300+1 6.064880+5140023501 166 2.510180+1 6.125650+5 2.675180+1 6.369990+5 2.676670+1 6.373170+5140023501 167 2.895140+1 6.665360+5 3.000000+1 6.805600+5 3.380350+1 7.151860+5140023501 168 3.464100+1 7.228100+5 4.000000+1 7.423250+5 4.107720+1 7.384470+5140023501 169 4.472140+1 7.253260+5 4.835490+1 7.009080+5 5.000000+1 6.898520+5140023501 170 5.126640+1 6.787550+5 5.798700+1 6.198670+5 6.000000+1 6.022280+5140023501 171 6.645050+1 5.405860+5 6.928200+1 5.135280+5 7.000000+1 5.078890+5140023501 172 7.624740+1 4.588240+5 8.000000+1 4.293520+5 8.151720+1 4.182690+5140023501 173 8.332800+1 4.050410+5 8.794770+1 3.748740+5 8.944270+1 3.651120+5140023501 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- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1500 1451 6 ----ENDF/B-VI MATERIAL 1500 1500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1500 1451 8 ------ENDF-6 FORMAT 1500 1451 9 =================================================================1500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1500 1451 11 ENDF/B-VI FORMAT 1500 1451 12 =================================================================1500 1451 13 CONTENTS 1500 1451 14 =================================================================1500 1451 15 MF/MT DESCRIPTION 1500 1451 16 =================================================================1500 1451 17 23/501 TOTAL CROSS SECTION 1500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1500 1451 31 =================================================================1500 1451 32 27/502 COHERENT SCATTERING FORM FACTORS 1500 1451 33 27/504 INCOHERENT SCATTERING FUNCTIONS 1500 1451 34 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1500 1451 35 27/506 COHERENT REAL SCATTERING FACTOR 1500 1451 36 =================================================================1500 1451 37 WARNING 1500 1451 38 =================================================================1500 1451 39 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1500 1451 40 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1500 1451 41 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1500 1451 42 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1500 1451 43 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1500 1451 44 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1500 1451 45 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1500 1451 46 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1500 1451 47 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1500 1451 48 =================================================================1500 1451 49 DEFINITION OF NEW TYPES OF DATA 1500 1451 50 =================================================================1500 1451 51 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1500 1451 52 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1500 1451 53 1500 1451 54 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1500 1451 55 C2 FIELDS ARE, 1500 1451 56 1500 1451 57 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1500 1451 58 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1500 1451 59 1500 1451 60 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1500 1451 61 1500 1451 62 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1500 1451 63 1500 1451 64 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1500 1451 65 T = THE THOMSON CROSS SECTION 1500 1451 66 MU = THE COSINE OF THE SCATTERING ANGLE 1500 1451 67 FF(M) = THE ATOMIC FORM FACTOR 1500 1451 68 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1500 1451 69 F1(E) = THE REAL SCATTERING FACTOR 1500 1451 70 F2(E) = THE IMAGINARY SCATTERING FACTOR 1500 1451 71 1500 1451 72 F1(E) AND F2(E) ARE ISOTROPIC. 1500 1451 73 1500 1451 74 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1500 1451 75 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1500 1451 76 =================================================================1500 1451 77 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1500 1451 78 =================================================================1500 1451 79 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1500 1451 80 HERE - 10 EV TO 100 MEV 1500 1451 81 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1500 1451 82 - FLUORESCENCE AND ELECTRON SPECTRA 1500 1451 83 HERE - PHOTON INTERACTION 1500 1451 84 - AVERAGE FLUORESCENCE YIELD 1500 1451 85 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1500 1451 86 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1500 1451 87 HERE - NO SECONDARY ENERGY DATA 1500 1451 88 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1500 1451 89 INTERPOLABLE - SUMMATION CROSS SECTIONS 1500 1451 90 (E.G., TOTAL) ARE NOT INCLUDED 1500 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 1500 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1500 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1500 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 1500 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 1500 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 1500 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 1500 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1500 1451 99 =================================================================1500 1451 100 REFERENCES 1500 1451 101 =================================================================1500 1451 102 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1500 1451 103 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1500 1451 104 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1500 1451 105 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1500 1451 106 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1500 1451 107 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1500 1451 108 1500 1451 109 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1500 1451 110 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1500 1451 111 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1500 1451 112 OF THE DATA, ETC. 1500 1451 113 =================================================================1500 1451 114 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1500 1451 115 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1500 1451 116 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1500 1451 117 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1500 1451 118 *RECONSTRUCTED MT NUMBERS 1500 1451 119 516 =+(515,515)+(517,517) 1500 1451 120 522 =+(534,572) 1500 1451 121 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1500 1451 122 1 451 141 11500 1451 123 23 501 351 11500 1451 124 23 502 62 11500 1451 125 23 504 25 11500 1451 126 23 515 18 11500 1451 127 23 516 39 11500 1451 128 23 517 26 11500 1451 129 23 522 253 11500 1451 130 23 534 43 11500 1451 131 23 535 51 11500 1451 132 23 536 63 11500 1451 133 23 537 62 11500 1451 134 23 538 59 11500 1451 135 23 539 71 11500 1451 136 23 540 71 11500 1451 137 27 502 51 11500 1451 138 27 504 41 11500 1451 139 27 505 56 11500 1451 140 27 506 68 11500 1451 141 1500 1 0 142 1500 0 0 143 1.500000+4 3.070770+1 0 0 0 0150023501 144 0.000000+0 0.000000+0 0 0 1 1042150023501 145 1042 2 0 0 0 0150023501 146 1.000000+1 4.249610+7 1.049030+1 3.693990+7 1.080700+1 3.335100+7150023501 147 1.112110+1 3.070810+7 1.154780+1 2.711780+7 1.155040+1 2.709590+7150023501 148 1.264160+1 1.978330+7 1.320280+1 1.695380+7 1.367260+1 1.458510+7150023501 149 1.407860+1 1.288390+7 1.427000+1 1.208180+7 1.525660+1 8.699110+6150023501 150 1.591750+1 6.874360+6 1.653670+1 5.561770+6 1.688590+1 4.991590+6150023501 151 1.718000+1 4.511380+6 1.721000+1 4.467440+6 1.721000+1 4.481050+6150023501 152 1.744010+1 4.147120+6 1.749510+1 4.067310+6 1.750950+1 4.046450+6150023501 153 1.771210+1 3.777430+6 1.784530+1 3.601080+6 1.804260+1 3.378190+6150023501 154 1.810140+1 3.312110+6 1.836120+1 3.043920+6 1.837920+1 3.028250+6150023501 155 1.875790+1 2.700300+6 1.877170+1 2.689450+6 1.905160+1 2.472140+6150023501 156 1.916310+1 2.385570+6 1.917250+1 2.379660+6 1.957710+1 2.127140+6150023501 157 1.958190+1 2.124450+6 1.988080+1 1.960870+6 2.000000+1 1.895640+6150023501 158 2.025500+1 1.789100+6 2.054190+1 1.681880+6 2.084910+1 1.564820+6150023501 159 2.090690+1 1.546550+6 2.109790+1 1.491850+6 2.144350+1 1.388110+6150023501 160 2.160550+1 1.339490+6 2.166860+1 1.322840+6 2.171690+1 1.309820+6150023501 161 2.199390+1 1.240640+6 2.213360+1 1.213090+6 2.286410+1 1.088170+6150023501 162 2.299120+1 1.069850+6 2.309400+1 1.056430+6 2.314150+1 1.050220+6150023501 163 2.364720+1 9.841740+5 2.376870+1 9.688020+5 2.388200+1 9.588130+5150023501 164 2.434610+1 9.273040+5 2.515620+1 8.655590+5 2.519330+1 8.627320+5150023501 165 2.532840+1 8.561650+5 2.582970+1 8.348020+5 2.588310+1 8.330510+5150023501 166 2.681450+1 8.025100+5 2.692070+1 8.009430+5 2.724800+1 7.928160+5150023501 167 2.773720+1 7.847020+5 2.836260+1 7.743290+5 2.848200+1 7.738140+5150023501 168 2.905310+1 7.713540+5 3.000000+1 7.721260+5 3.209250+1 7.889980+5150023501 169 3.255960+1 7.967650+5 3.260140+1 7.974600+5 3.311840+1 8.060570+5150023501 170 3.464100+1 8.429520+5 3.746230+1 8.934830+5 4.000000+1 9.389350+5150023501 171 4.349120+1 9.644950+5 4.472140+1 9.735010+5 4.485060+1 9.735950+5150023501 172 4.728710+1 9.753630+5 5.000000+1 9.699590+5 5.412340+1 9.429310+5150023501 173 6.000000+1 9.044130+5 6.310140+1 8.716060+5 7.437960+1 7.523060+5150023501 174 7.937250+1 6.994910+5 8.000000+1 6.937760+5 8.090870+1 6.854520+5150023501 175 9.060480+1 5.966240+5 9.169130+1 5.866700+5 9.457420+1 5.602590+5150023501 176 9.527340+1 5.547560+5 9.559580+1 5.524920+5 1.022860+2 5.055010+5150023501 177 1.074610+2 4.691540+5 1.083930+2 4.626080+5 1.098480+2 4.523880+5150023501 178 1.115810+2 4.415150+5 1.128070+2 4.338230+5 1.162650+2 4.163910+5150023501 179 1.204370+2 3.953600+5 1.225780+2 3.845670+5 1.248630+2 3.730490+5150023501 180 1.280760+2 3.586230+5 1.294430+2 3.524860+5 1.308250+2 3.462820+5150023501 181 1.309750+2 3.456090+5 1.316150+2 3.427360+5 1.325960+2 3.383320+5150023501 182 1.328100+2 3.375390+5 1.340150+2 3.330700+5 1.346790+2 3.306090+5150023501 183 1.353460+2 3.281370+5 1.359070+2 3.260580+5 1.364620+2 3.240040+5150023501 184 1.369870+2 3.220610+5 1.375700+2 3.199060+5 1.381800+2 3.176520+5150023501 185 1.381800+2 1.745730+6 1.385890+2 1.910840+6 1.389720+2 2.065460+6150023501 186 1.391400+2 2.146650+6 1.391400+2 2.948000+6 1.394440+2 3.154050+6150023501 187 1.403250+2 3.751170+6 1.403540+2 3.771810+6 1.407220+2 4.033740+6150023501 188 1.407750+2 4.069090+6 1.412240+2 4.312510+6 1.417900+2 4.619360+6150023501 189 1.418020+2 4.623490+6 1.422680+2 4.747000+6 1.427670+2 4.879250+6150023501 190 1.428980+2 4.905440+6 1.432990+2 4.930110+6 1.455390+2 5.067890+6150023501 191 1.456450+2 5.070130+6 1.462310+2 5.068940+6 1.481470+2 5.065030+6150023501 192 1.484230+2 5.064560+6 1.500000+2 5.061860+6 1.571170+2 4.953260+6150023501 193 1.573420+2 4.947380+6 1.611850+2 4.846880+6 1.649080+2 4.751170+6150023501 194 1.653380+2 4.740240+6 1.682560+2 4.656300+6 1.773290+2 4.355710+6150023501 195 1.795470+2 4.282230+6 1.813400+2 4.223540+6 1.832810+2 4.160020+6150023501 196 1.852890+2 4.094300+6 1.863800+2 4.058590+6 1.871500+2 4.033390+6150023501 197 1.871500+2 4.449500+6 1.875430+2 4.436470+6 1.893520+2 4.376880+6150023501 198 1.907070+2 4.332240+6 1.909110+2 4.326000+6 2.000000+2 4.047760+6150023501 199 2.103980+2 3.731790+6 2.108040+2 3.719520+6 2.147960+2 3.598800+6150023501 200 2.154010+2 3.580010+6 2.163400+2 3.554160+6 2.175030+2 3.522140+6150023501 201 2.220390+2 3.406930+6 2.384420+2 2.993640+6 2.388200+2 2.984170+6150023501 202 2.418550+2 2.908480+6 2.432170+2 2.874510+6 2.449290+2 2.831380+6150023501 203 2.477520+2 2.771610+6 2.510180+2 2.702460+6 2.597330+2 2.533170+6150023501 204 2.676670+2 2.379850+6 2.744180+2 2.249980+6 2.770790+2 2.202850+6150023501 205 2.845900+2 2.089210+6 2.846690+2 2.088020+6 2.881050+2 2.037460+6150023501 206 2.915230+2 1.987170+6 3.025010+2 1.825630+6 3.097330+2 1.734990+6150023501 207 3.098700+2 1.733280+6 3.109840+2 1.719460+6 3.273700+2 1.532960+6150023501 208 3.381560+2 1.427100+6 3.394530+2 1.414420+6 3.402370+2 1.406800+6150023501 209 3.464100+2 1.351810+6 3.542840+2 1.284360+6 3.586640+2 1.250880+6150023501 210 3.684850+2 1.175800+6 3.689100+2 1.172580+6 3.728900+2 1.144610+6150023501 211 3.861500+2 1.051880+6 4.000000+2 9.707280+5 4.113140+2 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2.166170+3-5.906150+0 2.175830+3-5.393490+0 2.189250+3-4.875250+0150027506 1544 2.214420+3-4.227620+0 2.258450+3-3.472840+0 2.291470+3-3.059230+0150027506 1545 2.341010+3-2.576250+0 2.390550+3-2.217580+0 2.479200+3-1.719870+0150027506 1546 2.567850+3-1.333940+0 2.685450+3-9.498400-1 2.896130+3-4.757170-1150027506 1547 2.981880+3-3.068160-1 3.024750+3-2.344450-1 3.183230+3-3.442040-2150027506 1548 3.241030+3 3.086800-2 3.284380+3 6.949470-2 3.311840+3 8.249860-2150027506 1549 3.362950+3 1.207370-1 3.449850+3 1.893140-1 3.488720+3 2.153700-1150027506 1550 3.603660+3 2.790560-1 3.661740+3 3.068870-1 3.708540+3 3.169050-1150027506 1551 3.963570+3 4.177170-1 4.048540+3 4.291790-1 4.303350+3 4.985910-1150027506 1552 4.731160+3 5.333990-1 5.302550+3 5.369610-1 5.833210+3 5.303180-1150027506 1553 6.876931+3 4.911060-1 8.813290+3 3.901330-1 1.124300+4 3.000630-1150027506 1554 1.315870+4 2.459070-1 1.478200+4 2.100610-1 1.689290+4 1.742030-1150027506 1555 1.943610+4 1.428710-1 2.276760+4 1.128330-1 2.426740+4 1.019200-1150027506 1556 2.654110+4 8.860460-2 2.944740+4 7.479050-2 3.215270+4 6.495420-2150027506 1557 3.640120+4 5.288020-2 3.904740+4 4.712050-2 4.203430+4 4.164810-2150027506 1558 4.785900+4 3.336790-2 5.175400+4 2.918030-2 5.908040+4 2.313730-2150027506 1559 6.395620+4 2.014450-2 7.268360+4 1.604380-2 8.213900+4 1.288010-2150027506 1560 8.932960+4 1.109410-2 1.009780+5 8.758530-3 1.089990+5 7.503570-3150027506 1561 1.182690+5 6.371290-3 1.334400+5 4.978730-3 1.426650+5 4.352940-3150027506 1562 1.606610+5 3.409960-3 1.740740+5 2.888210-3 1.861210+5 2.514190-3150027506 1563 1.980790+5 2.209990-3 2.151150+5 1.862420-3 2.292120+5 1.630280-3150027506 1564 2.491930+5 1.363200-3 2.820690+5 1.045040-3 3.022420+5 8.988140-4150027506 1565 3.284540+5 7.458490-4 3.689100+5 5.726660-4 4.000000+5 4.736790-4150027506 1566 4.448830+5 3.658640-4 4.625150+5 3.321270-4 5.047660+5 2.643990-4150027506 1567 5.572010+5 2.005570-4 6.061100+5 1.556840-4 6.568210+5 1.190900-4150027506 1568 6.992390+5 9.430920-5 7.484420+5 7.085590-5 8.142170+5 4.593980-5150027506 1569 8.820400+5 2.575160-5 9.656130+5 6.573530-6 1.000000+6 0.000000+0150027506 1570 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0150027506 1571 150027 0 1572 1500 0 0 1573 0 0 0 1574 1.600000+4 3.178460+1 -1 0 0 11600 1451 1 0.000000+0 0.000000+0 0 0 0 61600 1451 2 0.000000+0 0.000000+0 0 0 3 61600 1451 3 0.000000+0 0.000000+0 0 0 118 191600 1451 4 16-S - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1600 1451 6 ----ENDF/B-VI MATERIAL 1600 1600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1600 1451 8 ------ENDF-6 FORMAT 1600 1451 9 =================================================================1600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1600 1451 11 ENDF/B-VI FORMAT 1600 1451 12 =================================================================1600 1451 13 CONTENTS 1600 1451 14 =================================================================1600 1451 15 MF/MT DESCRIPTION 1600 1451 16 =================================================================1600 1451 17 23/501 TOTAL CROSS SECTION 1600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1600 1451 31 =================================================================1600 1451 32 27/502 COHERENT SCATTERING FORM FACTORS 1600 1451 33 27/504 INCOHERENT SCATTERING FUNCTIONS 1600 1451 34 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1600 1451 35 27/506 COHERENT REAL SCATTERING FACTOR 1600 1451 36 =================================================================1600 1451 37 WARNING 1600 1451 38 =================================================================1600 1451 39 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1600 1451 40 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1600 1451 41 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1600 1451 42 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1600 1451 43 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1600 1451 44 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1600 1451 45 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1600 1451 46 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1600 1451 47 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1600 1451 48 =================================================================1600 1451 49 DEFINITION OF NEW TYPES OF DATA 1600 1451 50 =================================================================1600 1451 51 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1600 1451 52 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1600 1451 53 1600 1451 54 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1600 1451 55 C2 FIELDS ARE, 1600 1451 56 1600 1451 57 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1600 1451 58 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1600 1451 59 1600 1451 60 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1600 1451 61 1600 1451 62 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1600 1451 63 1600 1451 64 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1600 1451 65 T = THE THOMSON CROSS SECTION 1600 1451 66 MU = THE COSINE OF THE SCATTERING ANGLE 1600 1451 67 FF(M) = THE ATOMIC FORM FACTOR 1600 1451 68 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1600 1451 69 F1(E) = THE REAL SCATTERING FACTOR 1600 1451 70 F2(E) = THE IMAGINARY SCATTERING FACTOR 1600 1451 71 1600 1451 72 F1(E) AND F2(E) ARE ISOTROPIC. 1600 1451 73 1600 1451 74 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1600 1451 75 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1600 1451 76 =================================================================1600 1451 77 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1600 1451 78 =================================================================1600 1451 79 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1600 1451 80 HERE - 10 EV TO 100 MEV 1600 1451 81 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1600 1451 82 - FLUORESCENCE AND ELECTRON SPECTRA 1600 1451 83 HERE - PHOTON INTERACTION 1600 1451 84 - AVERAGE FLUORESCENCE YIELD 1600 1451 85 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1600 1451 86 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1600 1451 87 HERE - NO SECONDARY ENERGY DATA 1600 1451 88 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1600 1451 89 INTERPOLABLE - SUMMATION CROSS SECTIONS 1600 1451 90 (E.G., TOTAL) ARE NOT INCLUDED 1600 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 1600 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1600 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1600 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 1600 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 1600 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 1600 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 1600 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1600 1451 99 =================================================================1600 1451 100 REFERENCES 1600 1451 101 =================================================================1600 1451 102 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1600 1451 103 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1600 1451 104 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1600 1451 105 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1600 1451 106 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1600 1451 107 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1600 1451 108 1600 1451 109 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1600 1451 110 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1600 1451 111 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1600 1451 112 OF THE DATA, ETC. 1600 1451 113 =================================================================1600 1451 114 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1600 1451 115 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1600 1451 116 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1600 1451 117 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1600 1451 118 *RECONSTRUCTED MT NUMBERS 1600 1451 119 516 =+(515,515)+(517,517) 1600 1451 120 522 =+(534,572) 1600 1451 121 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1600 1451 122 1 451 141 11600 1451 123 23 501 343 11600 1451 124 23 502 67 11600 1451 125 23 504 25 11600 1451 126 23 515 18 11600 1451 127 23 516 40 11600 1451 128 23 517 26 11600 1451 129 23 522 239 11600 1451 130 23 534 42 11600 1451 131 23 535 49 11600 1451 132 23 536 62 11600 1451 133 23 537 62 11600 1451 134 23 538 56 11600 1451 135 23 539 71 11600 1451 136 23 540 71 11600 1451 137 27 502 50 11600 1451 138 27 504 41 11600 1451 139 27 505 62 11600 1451 140 27 506 83 11600 1451 141 1600 1 0 142 1600 0 0 143 1.600000+4 3.178460+1 0 0 0 0160023501 144 0.000000+0 0.000000+0 0 0 1 1020160023501 145 1020 2 0 0 0 0160023501 146 1.000000+1 3.641710+1 1.005420+1 4.393010+1 1.010030+1 5.323740+1160023501 147 1.015700+1 6.920190+1 1.023720+1 9.510780+1 1.025000+1 9.835850+1160023501 148 1.025000+1 3.860750+7 1.027510+1 3.862180+7 1.032770+1 3.865180+7160023501 149 1.034000+1 3.865880+7 1.034000+1 5.778980+7 1.037060+1 5.782090+7160023501 150 1.044910+1 5.790050+7 1.052110+1 5.797360+7 1.068870+1 5.814380+7160023501 151 1.102450+1 5.848470+7 1.124500+1 5.773380+7 1.190670+1 5.548040+7160023501 152 1.218810+1 5.353640+7 1.238880+1 5.215000+7 1.289050+1 4.868430+7160023501 153 1.367660+1 4.192080+7 1.394860+1 3.958060+7 1.512110+1 2.949260+7160023501 154 1.527210+1 2.819350+7 1.554920+1 2.609910+7 1.611850+1 2.210850+7160023501 155 1.640000+1 2.029540+7 1.650340+1 1.962940+7 1.689750+1 1.726760+7160023501 156 1.730100+1 1.528190+7 1.771420+1 1.341670+7 1.825990+1 1.121400+7160023501 157 1.846890+1 1.044020+7 1.876880+1 9.501810+6 1.900180+1 8.772750+6160023501 158 1.933550+1 7.946340+6 1.966160+1 7.138760+6 2.033170+1 5.819670+6160023501 159 2.059780+1 5.330680+6 2.068900+1 5.192020+6 2.095000+1 4.795190+6160023501 160 2.095000+1 4.841030+6 2.101160+1 4.748320+6 2.137520+1 4.244650+6160023501 161 2.160650+1 3.974820+6 2.181830+1 3.728500+6 2.191900+1 3.621730+6160023501 162 2.204840+1 3.484540+6 2.243240+1 3.139920+6 2.263010+1 2.962490+6160023501 163 2.264420+1 2.949910+6 2.282300+1 2.805320+6 2.352860+1 2.331750+6160023501 164 2.368320+1 2.236460+6 2.370210+1 2.226770+6 2.410700+1 2.020360+6160023501 165 2.415130+1 1.997780+6 2.448500+1 1.840470+6 2.472070+1 1.747220+6160023501 166 2.492030+1 1.669550+6 2.531400+1 1.526560+6 2.627220+1 1.294360+6160023501 167 2.641200+1 1.263410+6 2.649830+1 1.249940+6 2.709700+1 1.156470+6160023501 168 2.713990+1 1.149810+6 2.726660+1 1.130130+6 2.770430+1 1.074060+6160023501 169 2.814890+1 1.026170+6 2.860070+1 9.949560+5 2.908170+1 9.706560+5160023501 170 2.957700+1 9.456340+5 3.000000+1 9.201550+5 3.128350+1 8.990590+5160023501 171 3.159160+1 8.939950+5 3.175680+1 8.951170+5 3.298840+1 8.893560+5160023501 172 3.455280+1 9.082280+5 3.533890+1 9.133720+5 3.617440+1 9.311780+5160023501 173 4.000000+1 1.012710+6 4.048560+1 1.020640+6 4.342610+1 1.068720+6160023501 174 4.696310+1 1.126540+6 4.862460+1 1.145700+6 5.060150+1 1.152410+6160023501 175 5.316970+1 1.161140+6 5.732660+1 1.175260+6 5.999600+1 1.169350+6160023501 176 6.000000+1 1.169340+6 6.480740+1 1.132750+6 6.816980+1 1.107150+6160023501 177 7.000000+1 1.093220+6 8.256500+1 9.522070+5 8.451940+1 9.302730+5160023501 178 9.970080+1 7.754870+5 1.000000+2 7.726990+5 1.005320+2 7.677420+5160023501 179 1.106680+2 6.732990+5 1.154780+2 6.373010+5 1.162470+2 6.315460+5160023501 180 1.165180+2 6.297320+5 1.265090+2 5.628280+5 1.300260+2 5.392770+5160023501 181 1.336230+2 5.151900+5 1.355400+2 5.023530+5 1.392050+2 4.841700+5160023501 182 1.420180+2 4.702150+5 1.450210+2 4.553160+5 1.475540+2 4.427500+5160023501 183 1.514360+2 4.234900+5 1.549350+2 4.061310+5 1.554210+2 4.039030+5160023501 184 1.606210+2 3.800640+5 1.611850+2 3.774780+5 1.618600+2 3.750010+5160023501 185 1.627950+2 3.715690+5 1.642080+2 3.663830+5 1.656340+2 3.611490+5160023501 186 1.665280+2 3.578690+5 1.672990+2 3.550410+5 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0.000000+0 0.000000+0 0.000000+0160027506 1568 160027 0 1569 1600 0 0 1570 0 0 0 1571 1.700000+4 3.514850+1 -1 0 0 11700 1451 1 0.000000+0 0.000000+0 0 0 0 61700 1451 2 0.000000+0 0.000000+0 0 0 3 61700 1451 3 0.000000+0 0.000000+0 0 0 118 191700 1451 4 17-CL- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1700 1451 6 ----ENDF/B-VI MATERIAL 1700 1700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1700 1451 8 ------ENDF-6 FORMAT 1700 1451 9 =================================================================1700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1700 1451 11 ENDF/B-VI FORMAT 1700 1451 12 =================================================================1700 1451 13 CONTENTS 1700 1451 14 =================================================================1700 1451 15 MF/MT DESCRIPTION 1700 1451 16 =================================================================1700 1451 17 23/501 TOTAL CROSS SECTION 1700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1700 1451 31 =================================================================1700 1451 32 27/502 COHERENT SCATTERING FORM FACTORS 1700 1451 33 27/504 INCOHERENT SCATTERING FUNCTIONS 1700 1451 34 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1700 1451 35 27/506 COHERENT REAL SCATTERING FACTOR 1700 1451 36 =================================================================1700 1451 37 WARNING 1700 1451 38 =================================================================1700 1451 39 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1700 1451 40 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1700 1451 41 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1700 1451 42 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1700 1451 43 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1700 1451 44 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1700 1451 45 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1700 1451 46 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1700 1451 47 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1700 1451 48 =================================================================1700 1451 49 DEFINITION OF NEW TYPES OF DATA 1700 1451 50 =================================================================1700 1451 51 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1700 1451 52 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1700 1451 53 1700 1451 54 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1700 1451 55 C2 FIELDS ARE, 1700 1451 56 1700 1451 57 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1700 1451 58 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1700 1451 59 1700 1451 60 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1700 1451 61 1700 1451 62 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1700 1451 63 1700 1451 64 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1700 1451 65 T = THE THOMSON CROSS SECTION 1700 1451 66 MU = THE COSINE OF THE SCATTERING ANGLE 1700 1451 67 FF(M) = THE ATOMIC FORM FACTOR 1700 1451 68 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1700 1451 69 F1(E) = THE REAL SCATTERING FACTOR 1700 1451 70 F2(E) = THE IMAGINARY SCATTERING FACTOR 1700 1451 71 1700 1451 72 F1(E) AND F2(E) ARE ISOTROPIC. 1700 1451 73 1700 1451 74 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1700 1451 75 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1700 1451 76 =================================================================1700 1451 77 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1700 1451 78 =================================================================1700 1451 79 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1700 1451 80 HERE - 10 EV TO 100 MEV 1700 1451 81 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1700 1451 82 - FLUORESCENCE AND ELECTRON SPECTRA 1700 1451 83 HERE - PHOTON INTERACTION 1700 1451 84 - AVERAGE FLUORESCENCE YIELD 1700 1451 85 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1700 1451 86 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1700 1451 87 HERE - NO SECONDARY ENERGY DATA 1700 1451 88 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1700 1451 89 INTERPOLABLE - SUMMATION CROSS SECTIONS 1700 1451 90 (E.G., TOTAL) ARE NOT INCLUDED 1700 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 1700 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1700 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1700 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 1700 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 1700 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 1700 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 1700 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1700 1451 99 =================================================================1700 1451 100 REFERENCES 1700 1451 101 =================================================================1700 1451 102 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1700 1451 103 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1700 1451 104 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1700 1451 105 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1700 1451 106 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1700 1451 107 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1700 1451 108 1700 1451 109 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1700 1451 110 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1700 1451 111 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1700 1451 112 OF THE DATA, ETC. 1700 1451 113 =================================================================1700 1451 114 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1700 1451 115 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1700 1451 116 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1700 1451 117 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1700 1451 118 *RECONSTRUCTED MT NUMBERS 1700 1451 119 516 =+(515,515)+(517,517) 1700 1451 120 522 =+(534,572) 1700 1451 121 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1700 1451 122 1 451 141 11700 1451 123 23 501 342 11700 1451 124 23 502 68 11700 1451 125 23 504 25 11700 1451 126 23 515 18 11700 1451 127 23 516 39 11700 1451 128 23 517 26 11700 1451 129 23 522 240 11700 1451 130 23 534 42 11700 1451 131 23 535 49 11700 1451 132 23 536 60 11700 1451 133 23 537 62 11700 1451 134 23 538 55 11700 1451 135 23 539 71 11700 1451 136 23 540 71 11700 1451 137 27 502 52 11700 1451 138 27 504 42 11700 1451 139 27 505 76 11700 1451 140 27 506 95 11700 1451 141 1700 1 0 142 1700 0 0 143 1.700000+4 3.514850+1 0 0 0 0170023501 144 0.000000+0 0.000000+0 0 0 1 1016170023501 145 1016 2 0 0 0 0170023501 146 1.000000+1 5.387230+0 1.035850+1 7.291620+0 1.048080+1 8.065720+0170023501 147 1.065660+1 9.592010+0 1.092590+1 1.243970+1 1.120200+1 1.613280+1170023501 148 1.141390+1 2.088130+1 1.154780+1 2.469320+1 1.162980+1 2.702760+1170023501 149 1.180550+1 3.548430+1 1.192250+1 4.400120+1 1.200220+1 5.280330+1170023501 150 1.206600+1 6.320510+1 1.212970+1 7.837970+1 1.221410+1 1.059920+2170023501 151 1.229000+1 1.299890+2 1.229000+1 3.747750+7 1.229880+1 3.751520+7170023501 152 1.235050+1 3.773650+7 1.238280+1 3.787470+7 1.242000+1 3.803390+7170023501 153 1.242000+1 5.653260+7 1.243410+1 5.662080+7 1.254130+1 5.729130+7170023501 154 1.262140+1 5.779240+7 1.280460+1 5.893830+7 1.321620+1 6.151280+7170023501 155 1.364120+1 6.286050+7 1.385880+1 6.313580+7 1.407990+1 6.341560+7170023501 156 1.420180+1 6.315710+7 1.453260+1 6.245580+7 1.459550+1 6.222100+7170023501 157 1.500000+1 6.071070+7 1.511110+1 6.003320+7 1.527210+1 5.905130+7170023501 158 1.554920+1 5.705350+7 1.618920+1 5.143400+7 1.655920+1 4.818530+7170023501 159 1.662270+1 4.759850+7 1.813330+1 3.363800+7 1.830610+1 3.204110+7170023501 160 1.930440+1 2.440030+7 2.007860+1 1.977100+7 2.047520+1 1.739960+7170023501 161 2.120940+1 1.397950+7 2.196980+1 1.123170+7 2.272200+1 8.938390+6170023501 162 2.276780+1 8.818920+6 2.306850+1 8.111250+6 2.340130+1 7.328040+6170023501 163 2.362110+1 6.889430+6 2.368710+1 6.768860+6 2.422120+1 5.793170+6170023501 164 2.428460+1 5.684880+6 2.458930+1 5.250820+6 2.484000+1 4.893690+6170023501 165 2.484000+1 4.962450+6 2.496140+1 4.791990+6 2.504950+1 4.677160+6170023501 166 2.574420+1 3.916900+6 2.592970+1 3.728460+6 2.604020+1 3.635200+6170023501 167 2.645580+1 3.286950+6 2.646720+1 3.277400+6 2.686980+1 2.966200+6170023501 168 2.726430+1 2.715490+6 2.729840+1 2.695790+6 2.793430+1 2.330310+6170023501 169 2.825270+1 2.177700+6 2.842730+1 2.100620+6 2.876020+1 1.953670+6170023501 170 2.878100+1 1.947510+6 3.000000+1 1.586380+6 3.058730+1 1.477690+6170023501 171 3.118600+1 1.366880+6 3.159160+1 1.304320+6 3.183930+1 1.279680+6170023501 172 3.233230+1 1.227450+6 3.298840+1 1.157930+6 3.461670+1 1.060840+6170023501 173 3.507520+1 1.048620+6 3.527950+1 1.043180+6 3.575310+1 1.030010+6170023501 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2.854490+3-5.899380+0 2.873820+3-5.232290+0170027506 1568 2.892550+3-4.763580+0 2.928840+3-4.132700+0 2.962850+3-3.692770+0170027506 1569 3.026640+3-3.066240+0 3.082450+3-2.639980+0 3.180120+3-2.049310+0170027506 1570 3.253370+3-1.692660+0 3.363250+3-1.256360+0 3.418190+3-1.077190+0170027506 1571 3.473120+3-9.306850-1 3.599720+3-6.396070-1 3.663020+3-5.147310-1170027506 1572 3.923980+3-1.564310-1 4.022820+3-4.110810-2 4.072230+3 4.418300-3170027506 1573 4.096940+3 2.189010-2 4.121650+3 3.047200-2 4.418320+3 2.128560-1170027506 1574 4.602450+3 2.968310-1 4.655310+3 3.055200-1 4.723660+3 3.257260-1170027506 1575 4.964700+3 4.104370-1 5.388380+3 4.756810-1 5.830550+3 5.242850-1170027506 1576 6.194650+3 5.461450-1 6.763120+3 5.622120-1 8.449880+3 5.136580-1170027506 1577 1.198790+4 3.796300-1 1.360440+4 3.271540-1 1.586740+4 2.707610-1170027506 1578 1.816000+4 2.279300-1 2.188780+4 1.757840-1 2.381160+4 1.560550-1170027506 1579 2.723640+4 1.277510-1 3.132820+4 1.032520-1 3.640120+4 8.139020-2170027506 1580 3.892840+4 7.291330-2 4.389830+4 5.974640-2 4.789740+4 5.177600-2170027506 1581 5.447280+4 4.161240-2 5.805490+4 3.731300-2 6.772190+4 2.871020-2170027506 1582 7.274680+4 2.534670-2 7.841000+4 2.223150-2 8.420279+4 1.959380-2170027506 1583 8.958740+4 1.753460-2 9.825429+4 1.489230-2 1.080120+5 1.251680-2170027506 1584 1.231610+5 9.844140-3 1.324320+5 8.504110-3 1.414210+5 7.439260-3170027506 1585 1.500390+5 6.596900-3 1.611850+5 5.695080-3 1.743840+5 4.842860-3170027506 1586 1.843360+5 4.313740-3 1.960570+5 3.792190-3 2.092610+5 3.312400-3170027506 1587 2.220390+5 2.925360-3 2.417230+5 2.446710-3 2.576840+5 2.136050-3170027506 1588 2.789420+5 1.796700-3 3.165470+5 1.361280-3 3.471900+5 1.108040-3170027506 1589 3.747110+5 9.304570-4 4.050000+5 7.727180-4 4.318900+5 6.617650-4170027506 1590 4.625150+5 5.570100-4 4.988090+5 4.588150-4 5.289210+5 3.904230-4170027506 1591 5.798350+5 2.999510-4 6.188320+5 2.443420-4 6.685370+5 1.876230-4170027506 1592 7.464500+5 1.205210-4 7.846170+5 9.474980-5 8.542780+5 5.618170-5170027506 1593 9.058790+5 3.316390-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0170027506 1594 170027 0 1595 1700 0 0 1596 0 0 0 1597 1.800000+4 3.960480+1 -1 0 0 11800 1451 1 0.000000+0 0.000000+0 0 0 0 61800 1451 2 0.000000+0 0.000000+0 0 0 3 61800 1451 3 0.000000+0 0.000000+0 0 0 118 191800 1451 4 18-AR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1800 1451 6 ----ENDF/B-VI MATERIAL 1800 1800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1800 1451 8 ------ENDF-6 FORMAT 1800 1451 9 =================================================================1800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1800 1451 11 ENDF/B-VI FORMAT 1800 1451 12 =================================================================1800 1451 13 CONTENTS 1800 1451 14 =================================================================1800 1451 15 MF/MT DESCRIPTION 1800 1451 16 =================================================================1800 1451 17 23/501 TOTAL CROSS SECTION 1800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1800 1451 31 =================================================================1800 1451 32 27/502 COHERENT SCATTERING FORM FACTORS 1800 1451 33 27/504 INCOHERENT SCATTERING FUNCTIONS 1800 1451 34 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1800 1451 35 27/506 COHERENT REAL SCATTERING FACTOR 1800 1451 36 =================================================================1800 1451 37 WARNING 1800 1451 38 =================================================================1800 1451 39 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1800 1451 40 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1800 1451 41 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1800 1451 42 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1800 1451 43 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1800 1451 44 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1800 1451 45 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1800 1451 46 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1800 1451 47 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1800 1451 48 =================================================================1800 1451 49 DEFINITION OF NEW TYPES OF DATA 1800 1451 50 =================================================================1800 1451 51 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1800 1451 52 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1800 1451 53 1800 1451 54 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1800 1451 55 C2 FIELDS ARE, 1800 1451 56 1800 1451 57 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1800 1451 58 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1800 1451 59 1800 1451 60 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1800 1451 61 1800 1451 62 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1800 1451 63 1800 1451 64 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1800 1451 65 T = THE THOMSON CROSS SECTION 1800 1451 66 MU = THE COSINE OF THE SCATTERING ANGLE 1800 1451 67 FF(M) = THE ATOMIC FORM FACTOR 1800 1451 68 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1800 1451 69 F1(E) = THE REAL SCATTERING FACTOR 1800 1451 70 F2(E) = THE IMAGINARY SCATTERING FACTOR 1800 1451 71 1800 1451 72 F1(E) AND F2(E) ARE ISOTROPIC. 1800 1451 73 1800 1451 74 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1800 1451 75 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1800 1451 76 =================================================================1800 1451 77 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1800 1451 78 =================================================================1800 1451 79 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1800 1451 80 HERE - 10 EV TO 100 MEV 1800 1451 81 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1800 1451 82 - FLUORESCENCE AND ELECTRON SPECTRA 1800 1451 83 HERE - PHOTON INTERACTION 1800 1451 84 - AVERAGE FLUORESCENCE YIELD 1800 1451 85 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1800 1451 86 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1800 1451 87 HERE - NO SECONDARY ENERGY DATA 1800 1451 88 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1800 1451 89 INTERPOLABLE - SUMMATION CROSS SECTIONS 1800 1451 90 (E.G., TOTAL) ARE NOT INCLUDED 1800 1451 91 - FORM FACTORS ARE LOG X VS. LOG Y 1800 1451 92 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1800 1451 93 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1800 1451 94 ORDER TO ALLOW CROSS SECTIONS DEFINED 1800 1451 95 BY SUMMATION (E.G., TOTAL) TO BE 1800 1451 96 CONSISTENTLY DEFINED AT ALL ENERGIES. 1800 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 1800 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1800 1451 99 =================================================================1800 1451 100 REFERENCES 1800 1451 101 =================================================================1800 1451 102 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1800 1451 103 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1800 1451 104 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1800 1451 105 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1800 1451 106 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1800 1451 107 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1800 1451 108 1800 1451 109 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1800 1451 110 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1800 1451 111 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1800 1451 112 OF THE DATA, ETC. 1800 1451 113 =================================================================1800 1451 114 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1800 1451 115 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1800 1451 116 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1800 1451 117 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1800 1451 118 *RECONSTRUCTED MT NUMBERS 1800 1451 119 516 =+(515,515)+(517,517) 1800 1451 120 522 =+(534,572) 1800 1451 121 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1800 1451 122 1 451 141 11800 1451 123 23 501 347 11800 1451 124 23 502 70 11800 1451 125 23 504 26 11800 1451 126 23 515 18 11800 1451 127 23 516 40 11800 1451 128 23 517 26 11800 1451 129 23 522 239 11800 1451 130 23 534 41 11800 1451 131 23 535 48 11800 1451 132 23 536 62 11800 1451 133 23 537 60 11800 1451 134 23 538 55 11800 1451 135 23 539 70 11800 1451 136 23 540 70 11800 1451 137 27 502 49 11800 1451 138 27 504 39 11800 1451 139 27 505 78 11800 1451 140 27 506 98 11800 1451 141 1800 1 0 142 1800 0 0 143 1.800000+4 3.960480+1 0 0 0 0180023501 144 0.000000+0 0.000000+0 0 0 1 1030180023501 145 1030 2 0 0 0 0180023501 146 1.000000+1 2.419570+0 1.039710+1 3.150550+0 1.070530+1 3.840370+0180023501 147 1.118470+1 5.168350+0 1.154780+1 6.463880+0 1.168560+1 6.955550+0180023501 148 1.200480+1 8.737500+0 1.233280+1 1.097600+1 1.269820+1 1.476240+1180023501 149 1.302000+1 1.903180+1 1.318400+1 2.160940+1 1.339510+1 2.686480+1180023501 150 1.360960+1 3.339830+1 1.385560+1 4.426870+1 1.399850+1 5.489090+1180023501 151 1.407860+1 6.359620+1 1.409230+1 6.508510+1 1.417310+1 7.821240+1180023501 152 1.425020+1 9.640690+1 1.442410+1 1.499790+2 1.443000+1 1.510710+2180023501 153 1.443000+1 3.387370+7 1.454360+1 3.455490+7 1.460550+1 3.492610+7180023501 154 1.462000+1 3.501300+7 1.462000+1 5.170780+7 1.473230+1 5.273440+7180023501 155 1.489640+1 5.423440+7 1.505960+1 5.572610+7 1.554920+1 6.020150+7180023501 156 1.655920+1 6.519970+7 1.688590+1 6.527900+7 1.735950+1 6.539400+7180023501 157 1.766950+1 6.513060+7 1.798500+1 6.401730+7 1.846890+1 6.179530+7180023501 158 1.866790+1 6.044770+7 1.896570+1 5.843090+7 1.988080+1 5.135910+7180023501 159 2.000000+1 5.043790+7 2.112180+1 4.033590+7 2.179510+1 3.427280+7180023501 160 2.218090+1 3.100740+7 2.257360+1 2.788160+7 2.297320+1 2.519710+7180023501 161 2.309400+1 2.444020+7 2.368960+1 2.070820+7 2.400350+1 1.902190+7180023501 162 2.418390+1 1.812990+7 2.464370+1 1.585650+7 2.494850+1 1.454670+7180023501 163 2.553020+1 1.224350+7 2.580630+1 1.132570+7 2.629660+1 9.854680+6180023501 164 2.673330+1 8.748170+6 2.717720+1 7.724770+6 2.751500+1 7.074920+6180023501 165 2.773720+1 6.683750+6 2.785130+1 6.482890+6 2.811630+1 6.016370+6180023501 166 2.837790+1 5.621860+6 2.877500+1 5.072960+6 2.892000+1 4.898370+6180023501 167 2.892000+1 4.980850+6 2.909660+1 4.772180+6 2.917770+1 4.676350+6180023501 168 2.958600+1 4.232120+6 3.000000+1 3.851160+6 3.037310+1 3.538270+6180023501 169 3.075090+1 3.272420+6 3.078550+1 3.250180+6 3.108650+1 3.057250+6180023501 170 3.132640+1 2.903480+6 3.191270+1 2.589630+6 3.251000+1 2.303230+6180023501 171 3.255960+1 2.282840+6 3.298840+1 2.106560+6 3.311840+1 2.052650+6180023501 172 3.362100+1 1.909870+6 3.425390+1 1.730090+6 3.542840+1 1.472410+6180023501 173 3.552180+1 1.460370+6 3.570000+1 1.437190+6 3.645060+1 1.339520+6180023501 174 3.686770+1 1.283200+6 3.736040+1 1.220720+6 3.746230+1 1.213640+6180023501 175 3.853200+1 1.139350+6 3.910000+1 1.099890+6 4.000000+1 1.072770+6180023501 176 4.056180+1 1.053350+6 4.113140+1 1.045720+6 4.214760+1 1.039210+6180023501 177 4.318900+1 1.037780+6 4.324080+1 1.038710+6 4.472140+1 1.065520+6180023501 178 4.485060+1 1.067380+6 4.604650+1 1.084630+6 5.192940+1 1.243700+6180023501 179 5.412340+1 1.290640+6 5.732660+1 1.359160+6 6.000000+1 1.401960+6180023501 180 6.087120+1 1.411170+6 6.310140+1 1.434740+6 6.735370+1 1.479690+6180023501 181 7.000000+1 1.488660+6 7.437960+1 1.483210+6 8.000000+1 1.476220+6180023501 182 9.060480+1 1.385730+6 9.486830+1 1.349350+6 9.812320+1 1.314420+6180023501 183 1.074610+2 1.214220+6 1.078990+2 1.209520+6 1.103860+2 1.184530+6180023501 184 1.256180+2 1.031490+6 1.309750+2 9.807790+5 1.355400+2 9.375670+5180023501 185 1.413540+2 8.886160+5 1.425870+2 8.782350+5 1.462310+2 8.495120+5180023501 186 1.493850+2 8.246520+5 1.611850+2 7.375190+5 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7.948720-4180027506 1593 4.625150+5 7.189760-4 5.053860+5 5.705350-4 5.507460+5 4.493680-4180027506 1594 5.882690+5 3.697380-4 6.366850+5 2.870240-4 6.829300+5 2.238680-4180027506 1595 7.378210+5 1.638500-4 8.167900+5 9.778580-5 8.763990+5 5.916500-5180027506 1596 9.197270+5 3.564280-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0180027506 1597 180027 0 1598 1800 0 0 1599 0 0 0 1600 1.900000+4 3.876210+1 -1 0 0 11900 1451 1 0.000000+0 0.000000+0 0 0 0 61900 1451 2 0.000000+0 0.000000+0 0 0 3 61900 1451 3 0.000000+0 0.000000+0 0 0 119 201900 1451 4 19-K - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 1900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 1900 1451 6 ----ENDF/B-VI MATERIAL 1900 1900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1900 1451 8 ------ENDF-6 FORMAT 1900 1451 9 =================================================================1900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 1900 1451 11 ENDF/B-VI FORMAT 1900 1451 12 =================================================================1900 1451 13 CONTENTS 1900 1451 14 =================================================================1900 1451 15 MF/MT DESCRIPTION 1900 1451 16 =================================================================1900 1451 17 23/501 TOTAL CROSS SECTION 1900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 1900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 1900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 1900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 1900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 1900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 1900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 31 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 1900 1451 32 =================================================================1900 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 1900 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 1900 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 1900 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 1900 1451 37 =================================================================1900 1451 38 WARNING 1900 1451 39 =================================================================1900 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 1900 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 1900 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 1900 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 1900 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 1900 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 1900 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 1900 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 1900 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 1900 1451 49 =================================================================1900 1451 50 DEFINITION OF NEW TYPES OF DATA 1900 1451 51 =================================================================1900 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 1900 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 1900 1451 54 1900 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 1900 1451 56 C2 FIELDS ARE, 1900 1451 57 1900 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 1900 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 1900 1451 60 1900 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 1900 1451 62 1900 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1900 1451 64 1900 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 1900 1451 66 T = THE THOMSON CROSS SECTION 1900 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 1900 1451 68 FF(M) = THE ATOMIC FORM FACTOR 1900 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 1900 1451 70 F1(E) = THE REAL SCATTERING FACTOR 1900 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 1900 1451 72 1900 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 1900 1451 74 1900 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 1900 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 1900 1451 77 =================================================================1900 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 1900 1451 79 =================================================================1900 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 1900 1451 81 HERE - 10 EV TO 100 MEV 1900 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION1900 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 1900 1451 84 HERE - PHOTON INTERACTION 1900 1451 85 - AVERAGE FLUORESCENCE YIELD 1900 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 1900 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)1900 1451 88 HERE - NO SECONDARY ENERGY DATA 1900 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 1900 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 1900 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 1900 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 1900 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1900 1451 94 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 1900 1451 95 ORDER TO ALLOW CROSS SECTIONS DEFINED 1900 1451 96 BY SUMMATION (E.G., TOTAL) TO BE 1900 1451 97 CONSISTENTLY DEFINED AT ALL ENERGIES. 1900 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 1900 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 1900 1451 100 =================================================================1900 1451 101 REFERENCES 1900 1451 102 =================================================================1900 1451 103 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 1900 1451 104 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 1900 1451 105 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 1900 1451 106 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),1900 1451 107 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 1900 1451 108 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 1900 1451 109 1900 1451 110 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 1900 1451 111 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 1900 1451 112 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 1900 1451 113 OF THE DATA, ETC. 1900 1451 114 =================================================================1900 1451 115 ***************** PROGRAM LINEAR (VERSION 90-1) *****************1900 1451 116 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 1900 1451 117 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 1900 1451 118 ***************** PROGRAM FIXUP (VERSION 90-1) ******************1900 1451 119 *RECONSTRUCTED MT NUMBERS 1900 1451 120 516 =+(515,515)+(517,517) 1900 1451 121 522 =+(534,572) 1900 1451 122 501 =+(502,502)+(504,504)+(516,516)+(522,522) 1900 1451 123 1 451 143 11900 1451 124 23 501 346 11900 1451 125 23 502 78 11900 1451 126 23 504 24 11900 1451 127 23 515 18 11900 1451 128 23 516 39 11900 1451 129 23 517 26 11900 1451 130 23 522 234 11900 1451 131 23 534 41 11900 1451 132 23 535 48 11900 1451 133 23 536 58 11900 1451 134 23 537 60 11900 1451 135 23 538 53 11900 1451 136 23 539 68 11900 1451 137 23 540 68 11900 1451 138 23 543 55 11900 1451 139 27 502 51 11900 1451 140 27 504 42 11900 1451 141 27 505 67 11900 1451 142 27 506 90 11900 1451 143 1900 1 0 144 1900 0 0 145 1.900000+4 3.876210+1 0 0 0 0190023501 146 0.000000+0 0.000000+0 0 0 1 1028190023501 147 1028 2 0 0 0 0190023501 148 1.000000+1 8.421640+4 1.077590+1 8.275970+4 1.163930+1 8.113860+4190023501 149 1.218810+1 8.010829+4 1.226720+1 7.995979+4 1.306560+1 7.846079+4190023501 150 1.348410+1 7.767510+4 1.394860+1 7.616050+4 1.398450+1 7.604350+4190023501 151 1.477020+1 7.348160+4 1.560000+1 7.077600+4 1.603170+1 6.936860+4190023501 152 1.640000+1 6.816790+4 1.670190+1 6.718370+4 1.740000+1 6.490800+4190023501 153 1.806240+1 6.274920+4 1.861210+1 6.095800+4 1.875000+1 6.061460+4190023501 154 1.924960+1 5.937090+4 1.976250+1 5.809470+4 1.980960+1 5.797770+4190023501 155 2.023470+1 5.692100+4 2.064850+1 5.589330+4 2.085850+1 5.537210+4190023501 156 2.118600+1 5.456130+4 2.151860+1 5.373930+4 2.180690+1 5.302940+4190023501 157 2.198190+1 5.259990+4 2.221760+1 5.202440+4 2.241930+1 5.153820+4190023501 158 2.262290+1 5.105180+4 2.278710+1 5.066920+4 2.289540+1 5.042560+4190023501 159 2.299070+1 5.022170+4 2.307300+1 5.005760+4 2.314970+1 4.991840+4190023501 160 2.323750+1 4.977780+4 2.347000+1 4.944810+4 2.347000+1 4.615310+7190023501 161 2.349710+1 4.585170+7 2.356860+1 4.505630+7 2.365180+1 4.413070+7190023501 162 2.375000+1 4.303820+7 2.375000+1 6.847910+7 2.375100+1 6.846030+7190023501 163 2.378410+1 6.783740+7 2.390230+1 6.561300+7 2.411580+1 6.159520+7190023501 164 2.423000+1 5.944610+7 2.425300+1 5.894960+7 2.432290+1 5.744050+7190023501 165 2.455840+1 5.235630+7 2.469950+1 4.931020+7 2.486930+1 4.616450+7190023501 166 2.493770+1 4.489730+7 2.514300+1 4.139780+7 2.558570+1 3.385160+7190023501 167 2.566300+1 3.280710+7 2.600000+1 2.825350+7 2.604810+1 2.780660+7190023501 168 2.653830+1 2.325200+7 2.667300+1 2.200040+7 2.670710+1 2.173080+7190023501 169 2.708510+1 1.908600+7 2.712250+1 1.882430+7 2.715440+1 1.860110+7190023501 170 2.736340+1 1.728400+7 2.800000+1 1.430610+7 2.824250+1 1.327650+7190023501 171 2.865140+1 1.178880+7 2.885800+1 1.112870+7 2.888530+1 1.105310+7190023501 172 2.895140+1 1.087020+7 2.961440+1 9.035170+6 2.965700+1 8.935320+6190023501 173 2.967950+1 8.888140+6 3.037310+1 7.433670+6 3.040000+1 7.390950+6190023501 174 3.132640+1 5.919800+6 3.176510+1 5.375600+6 3.221000+1 4.823720+6190023501 175 3.291510+1 4.131100+6 3.311840+1 3.931490+6 3.327820+1 3.820000+6190023501 176 3.380350+1 3.453520+6 3.425390+1 3.139300+6 3.505190+1 2.710170+6190023501 177 3.542840+1 2.507700+6 3.631960+1 2.183970+6 3.651980+1 2.111250+6190023501 178 3.707810+1 1.922730+6 3.764490+1 1.756160+6 3.880490+1 1.527970+6190023501 179 3.900780+1 1.488050+6 3.970760+1 1.360310+6 3.988370+1 1.334000+6190023501 180 4.000000+1 1.316630+6 4.024590+1 1.279970+6 4.042000+1 1.254010+6190023501 181 4.050000+1 1.243510+6 4.050000+1 1.501900+6 4.078260+1 1.469480+6190023501 182 4.086260+1 1.460300+6 4.107720+1 1.443350+6 4.126910+1 1.428200+6190023501 183 4.131000+1 1.424970+6 4.230770+1 1.360670+6 4.332950+1 1.306180+6190023501 184 4.490870+1 1.272910+6 4.491890+1 1.272930+6 4.620110+1 1.275540+6190023501 185 4.717150+1 1.273820+6 4.738600+1 1.273430+6 4.756830+1 1.276370+6190023501 186 4.835490+1 1.289150+6 4.844610+1 1.290630+6 5.000000+1 1.315880+6190023501 187 5.114850+1 1.351030+6 5.417020+1 1.423310+6 5.439950+1 1.428820+6190023501 188 5.477230+1 1.437080+6 5.655790+1 1.480600+6 5.687570+1 1.487230+6190023501 189 5.732660+1 1.496630+6 5.798700+1 1.511820+6 6.000000+1 1.558120+6190023501 190 6.394270+1 1.615470+6 6.583020+1 1.636130+6 6.645050+1 1.642980+6190023501 191 6.745370+1 1.654060+6 7.000000+1 1.682200+6 8.000000+1 1.688840+6190023501 192 8.151720+1 1.677840+6 8.458970+1 1.655560+6 9.457420+1 1.583170+6190023501 193 9.486830+1 1.581050+6 9.657840+1 1.562420+6 1.000000+2 1.525140+6190023501 194 1.078990+2 1.444490+6 1.193810+2 1.327620+6 1.194100+2 1.327340+6190023501 195 1.218810+2 1.302580+6 1.256180+2 1.265140+6 1.416870+2 1.104580+6190023501 196 1.425870+2 1.096020+6 1.493850+2 1.036110+6 1.494720+2 1.035350+6190023501 197 1.525250+2 1.008510+6 1.697260+2 8.668360+5 1.716350+2 8.511410+5190023501 198 1.717850+2 8.499080+5 1.732050+2 8.382330+5 1.746570+2 8.290840+5190023501 199 1.893520+2 7.431720+5 2.000000+2 6.810320+5 2.029990+2 6.651850+5190023501 200 2.049510+2 6.548710+5 2.076210+2 6.407620+5 2.155330+2 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2.635790+5 1.281140-3190027505 1533 2.836250+5 1.105460-3 3.016110+5 9.770259-4 3.280420+5 8.332540-4190027505 1534 3.689100+5 6.676790-4 4.032620+5 5.661410-4 4.326980+5 5.021800-4190027505 1535 4.625150+5 4.490690-4 5.053630+5 3.868200-4 5.507460+5 3.354070-4190027505 1536 5.882690+5 3.045040-4 6.433520+5 2.670580-4 7.148340+5 2.297670-4190027505 1537 7.741930+5 2.077500-4 8.458970+5 1.861460-4 9.197270+5 1.695000-4190027505 1538 9.777430+5 5.555540-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0190027505 1539 190027 0 1540 1.900000+4 3.876210+1 0 0 0 0190027506 1541 0.000000+0 1.900000+1 0 0 1 259190027506 1542 259 2 0 0 0 0190027506 1543 1.000000+1-1.952450+1 1.348410+1-2.005560+1 1.560000+1-2.058720+1190027506 1544 1.740000+1-2.130870+1 1.875000+1-2.213610+1 1.976250+1-2.305540+1190027506 1545 2.085850+1-2.458420+1 2.151860+1-2.610730+1 2.190390+1-2.729490+1190027506 1546 2.221760+1-2.860110+1 2.262290+1-3.120600+1 2.278710+1-3.275740+1190027506 1547 2.285330+1-3.355280+1 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2.653830+1-9.803140+0190027506 1560 2.688380+1-9.702340+0 2.736340+1-9.759710+0 2.824250+1-9.979620+0190027506 1561 2.888530+1-1.025780+1 2.967950+1-1.061830+1 3.040000+1-1.097730+1190027506 1562 3.132640+1-1.139970+1 3.221000+1-1.180130+1 3.327820+1-1.229200+1190027506 1563 3.456160+1-1.280140+1 3.554920+1-1.316920+1 3.710660+1-1.366930+1190027506 1564 3.790500+1-1.394810+1 3.972620+1-1.456330+1 4.004180+1-1.472160+1190027506 1565 4.024590+1-1.482810+1 4.078260+1-1.495820+1 4.102920+1-1.495130+1190027506 1566 4.126910+1-1.494590+1 4.250210+1-1.507160+1 4.392950+1-1.526980+1190027506 1567 4.593050+1-1.549620+1 4.844610+1-1.571390+1 5.021990+1-1.583660+1190027506 1568 5.687570+1-1.602610+1 6.500000+1-1.597740+1 7.000000+1-1.584990+1190027506 1569 8.000000+1-1.548360+1 8.944270+1-1.513720+1 9.657840+1-1.489260+1190027506 1570 1.256180+2-1.400240+1 1.425870+2-1.365500+1 1.716350+2-1.336220+1190027506 1571 2.049510+2-1.358230+1 2.232370+2-1.399650+1 2.398240+2-1.462150+1190027506 1572 2.522640+2-1.535400+1 2.659190+2-1.651880+1 2.763070+2-1.794490+1190027506 1573 2.825870+2-1.939840+1 2.877330+2-2.120260+1 2.906690+2-2.289120+1190027506 1574 2.920070+2-2.404420+1 2.927350+2-2.483720+1 2.934070+2-2.568990+1190027506 1575 2.937860+2-2.622290+1 2.941480+2-2.676680+1 2.945490+2-2.739780+1190027506 1576 2.949640+2-2.807720+1 2.954100+2-2.879920+1 2.958640+2-2.951520+1190027506 1577 2.963860+2-3.026500+1 2.966300+2-3.057740+1 2.978780+2-3.139120+1190027506 1578 2.986390+2-3.124130+1 2.991140+2-3.085340+1 3.001300+2-2.939500+1190027506 1579 3.008110+2-2.790590+1 3.016740+2-2.587630+1 3.024290+2-2.419010+1190027506 1580 3.033570+2-2.225660+1 3.039910+2-2.095530+1 3.052020+2-1.903630+1190027506 1581 3.060090+2-1.808070+1 3.066860+2-1.754750+1 3.087160+2-1.659460+1190027506 1582 3.107980+2-1.616020+1 3.154930+2-1.537760+1 3.302660+2-1.320130+1190027506 1583 3.385600+2-1.239900+1 3.505610+2-1.154950+1 3.603190+2-1.111230+1190027506 1584 3.650070+2-1.123490+1 3.681190+2-1.150820+1 3.708330+2-1.158990+1190027506 1585 3.736650+2-1.128100+1 3.768060+2-1.065100+1 3.811270+2-9.954240+0190027506 1586 3.885670+2-9.227430+0 4.040530+2-7.982830+0 4.181980+2-7.086730+0190027506 1587 4.455940+2-5.801640+0 4.724710+2-4.801480+0 4.935680+2-4.230250+0190027506 1588 5.336720+2-3.396090+0 5.507240+2-3.142890+0 5.859290+2-2.653560+0190027506 1589 6.438540+2-2.060900+0 7.016130+2-1.718300+0 7.692530+2-1.437990+0190027506 1590 8.091350+2-1.320980+0 8.750270+2-1.184870+0 9.364150+2-1.110460+0190027506 1591 1.000000+3-1.069800+0 1.106680+3-1.051540+0 1.188440+3-1.054940+0190027506 1592 1.265380+3-1.081060+0 1.380400+3-1.128490+0 1.446730+3-1.169830+0190027506 1593 1.532910+3-1.217820+0 1.701190+3-1.333200+0 1.867740+3-1.442700+0190027506 1594 1.992950+3-1.533110+0 2.199390+3-1.720130+0 2.382340+3-1.881940+0190027506 1595 2.633590+3-2.160080+0 2.829510+3-2.436010+0 3.000000+3-2.752990+0190027506 1596 3.109840+3-3.020540+0 3.268280+3-3.545690+0 3.354120+3-3.984280+0190027506 1597 3.447740+3-4.757310+0 3.481870+3-5.224980+0 3.499280+3-5.558300+0190027506 1598 3.509230+3-5.797320+0 3.517990+3-6.046140+0 3.523900+3-6.236000+0190027506 1599 3.527550+3-6.361900+0 3.530980+3-6.485980+0 3.534200+3-6.607400+0190027506 1600 3.538660+3-6.779490+0 3.542840+3-6.945530+0 3.547670+3-7.137120+0190027506 1601 3.553940+3-7.375100+0 3.560820+3-7.609210+0 3.568550+3-7.814380+0190027506 1602 3.583320+3-7.946210+0 3.598090+3-7.731170+0 3.611770+3-7.267430+0190027506 1603 3.624890+3-6.709770+0 3.643180+3-5.977340+0 3.657290+3-5.482660+0190027506 1604 3.679220+3-4.920690+0 3.720350+3-4.223780+0 3.758200+3-3.758700+0190027506 1605 3.819310+3-3.179550+0 3.913770+3-2.531360+0 4.008240+3-2.070240+0190027506 1606 4.088730+3-1.767130+0 4.169230+3-1.520450+0 4.380170+3-9.950100-1190027506 1607 4.485640+3-7.811650-1 4.538370+3-6.915170-1 4.795550+3-3.616630-1190027506 1608 4.897780+3-2.427150-1 4.948890+3-1.915260-1 5.149050+3-3.606570-2190027506 1609 5.220310+3 1.972340-2 5.330460+3 9.853380-2 5.385540+3 1.306710-1190027506 1610 5.413070+3 1.436360-1 5.465520+3 1.576510-1 5.696090+3 2.624940-1190027506 1611 5.803900+3 3.012960-1 5.882991+3 3.138790-1 6.219690+3 4.121920-1190027506 1612 6.386790+3 4.309240-1 6.751610+3 4.981240-1 7.507411+3 5.488750-1190027506 1613 8.000000+3 5.705020-1 8.572121+3 5.763600-1 9.391701+3 5.675030-1190027506 1614 1.457640+4 4.036820-1 1.797910+4 3.188190-1 2.048560+4 2.695530-1190027506 1615 2.387470+4 2.205750-1 2.605440+4 1.966790-1 2.919810+4 1.670710-1190027506 1616 3.323930+4 1.376500-1 3.785450+4 1.125140-1 4.275510+4 9.264680-2190027506 1617 4.619450+4 8.195130-2 5.328480+4 6.505020-2 6.071370+4 5.233080-2190027506 1618 6.457930+4 4.709920-2 7.374130+4 3.755370-2 7.910829+4 3.325780-2190027506 1619 8.637790+4 2.858870-2 9.732110+4 2.311630-2 1.065660+5 1.971360-2190027506 1620 1.182690+5 1.634510-2 1.334400+5 1.310540-2 1.430980+5 1.152970-2190027506 1621 1.629200+5 8.938310-3 1.752990+5 7.688160-3 1.896570+5 6.544450-3190027506 1622 2.020060+5 5.738520-3 2.153350+5 5.012400-3 2.312620+5 4.320310-3190027506 1623 2.447070+5 3.825750-3 2.635790+5 3.264850-3 2.836250+5 2.789870-3190027506 1624 3.016110+5 2.438330-3 3.280420+5 2.020960-3 3.689100+5 1.546990-3190027506 1625 4.032620+5 1.255070-3 4.326980+5 1.058020-3 4.625150+5 8.968290-4190027506 1626 5.053630+5 7.107420-4 5.507460+5 5.602940-4 5.882690+5 4.616080-4190027506 1627 6.433520+5 3.450550-4 7.148340+5 2.332810-4 7.741930+5 1.630040-4190027506 1628 8.458970+5 9.700720-5 9.197270+5 4.451930-5 1.000000+6 0.000000+0190027506 1629 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0190027506 1630 190027 0 1631 1900 0 0 1632 0 0 0 1633 2.000000+4 3.973570+1 -1 0 0 12000 1451 1 0.000000+0 0.000000+0 0 0 0 62000 1451 2 0.000000+0 0.000000+0 0 0 3 62000 1451 3 0.000000+0 0.000000+0 0 0 119 202000 1451 4 20-CA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2000 1451 6 ----ENDF/B-VI MATERIAL 2000 2000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2000 1451 8 ------ENDF-6 FORMAT 2000 1451 9 =================================================================2000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2000 1451 11 ENDF/B-VI FORMAT 2000 1451 12 =================================================================2000 1451 13 CONTENTS 2000 1451 14 =================================================================2000 1451 15 MF/MT DESCRIPTION 2000 1451 16 =================================================================2000 1451 17 23/501 TOTAL CROSS SECTION 2000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 31 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2000 1451 32 =================================================================2000 1451 33 27/502 COHERENT SCATTERING FORM FACTORS 2000 1451 34 27/504 INCOHERENT SCATTERING FUNCTIONS 2000 1451 35 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2000 1451 36 27/506 COHERENT REAL SCATTERING FACTOR 2000 1451 37 =================================================================2000 1451 38 WARNING 2000 1451 39 =================================================================2000 1451 40 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2000 1451 41 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2000 1451 42 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2000 1451 43 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2000 1451 44 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2000 1451 45 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2000 1451 46 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2000 1451 47 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2000 1451 48 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2000 1451 49 =================================================================2000 1451 50 DEFINITION OF NEW TYPES OF DATA 2000 1451 51 =================================================================2000 1451 52 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2000 1451 53 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2000 1451 54 2000 1451 55 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2000 1451 56 C2 FIELDS ARE, 2000 1451 57 2000 1451 58 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2000 1451 59 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2000 1451 60 2000 1451 61 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2000 1451 62 2000 1451 63 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2000 1451 64 2000 1451 65 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2000 1451 66 T = THE THOMSON CROSS SECTION 2000 1451 67 MU = THE COSINE OF THE SCATTERING ANGLE 2000 1451 68 FF(M) = THE ATOMIC FORM FACTOR 2000 1451 69 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2000 1451 70 F1(E) = THE REAL SCATTERING FACTOR 2000 1451 71 F2(E) = THE IMAGINARY SCATTERING FACTOR 2000 1451 72 2000 1451 73 F1(E) AND F2(E) ARE ISOTROPIC. 2000 1451 74 2000 1451 75 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2000 1451 76 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2000 1451 77 =================================================================2000 1451 78 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2000 1451 79 =================================================================2000 1451 80 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2000 1451 81 HERE - 10 EV TO 100 MEV 2000 1451 82 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2000 1451 83 - FLUORESCENCE AND ELECTRON SPECTRA 2000 1451 84 HERE - PHOTON INTERACTION 2000 1451 85 - AVERAGE FLUORESCENCE YIELD 2000 1451 86 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2000 1451 87 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2000 1451 88 HERE - NO SECONDARY ENERGY DATA 2000 1451 89 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2000 1451 90 INTERPOLABLE - SUMMATION CROSS SECTIONS 2000 1451 91 (E.G., TOTAL) ARE NOT INCLUDED 2000 1451 92 - FORM FACTORS ARE LOG X VS. LOG Y 2000 1451 93 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2000 1451 94 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2000 1451 95 ORDER TO ALLOW CROSS SECTIONS DEFINED 2000 1451 96 BY SUMMATION (E.G., TOTAL) TO BE 2000 1451 97 CONSISTENTLY DEFINED AT ALL ENERGIES. 2000 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 2000 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2000 1451 100 =================================================================2000 1451 101 REFERENCES 2000 1451 102 =================================================================2000 1451 103 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2000 1451 104 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2000 1451 105 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2000 1451 106 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2000 1451 107 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2000 1451 108 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2000 1451 109 2000 1451 110 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2000 1451 111 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2000 1451 112 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2000 1451 113 OF THE DATA, ETC. 2000 1451 114 =================================================================2000 1451 115 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2000 1451 116 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2000 1451 117 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2000 1451 118 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2000 1451 119 *RECONSTRUCTED MT NUMBERS 2000 1451 120 516 =+(515,515)+(517,517) 2000 1451 121 522 =+(534,572) 2000 1451 122 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2000 1451 123 1 451 143 12000 1451 124 23 501 365 12000 1451 125 23 502 70 12000 1451 126 23 504 25 12000 1451 127 23 515 18 12000 1451 128 23 516 39 12000 1451 129 23 517 25 12000 1451 130 23 522 259 12000 1451 131 23 534 40 12000 1451 132 23 535 46 12000 1451 133 23 536 56 12000 1451 134 23 537 57 12000 1451 135 23 538 52 12000 1451 136 23 539 63 12000 1451 137 23 540 63 12000 1451 138 23 543 55 12000 1451 139 27 502 51 12000 1451 140 27 504 42 12000 1451 141 27 505 58 12000 1451 142 27 506 76 12000 1451 143 2000 1 0 144 2000 0 0 145 2.000000+4 3.973570+1 0 0 0 0200023501 146 0.000000+0 0.000000+0 0 0 1 1084200023501 147 1084 2 0 0 0 0200023501 148 1.000000+1 8.318500+4 1.054530+1 9.420820+4 1.097370+1 1.028680+5200023501 149 1.154780+1 1.144740+5 1.164920+1 1.165230+5 1.187600+1 1.211080+5200023501 150 1.236620+1 1.316650+5 1.361960+1 1.586570+5 1.383570+1 1.633100+5200023501 151 1.407860+1 1.671940+5 1.500000+1 1.819260+5 1.615710+1 1.907000+5200023501 152 1.688590+1 1.915320+5 1.791470+1 1.927070+5 1.988080+1 1.875640+5200023501 153 2.132480+1 1.837870+5 2.309400+1 1.791600+5 2.398950+1 1.768180+5200023501 154 2.449490+1 1.754960+5 2.698720+1 1.669540+5 2.773720+1 1.643840+5200023501 155 2.836750+1 1.622240+5 2.981840+1 1.572520+5 3.067710+1 1.543090+5200023501 156 3.156050+1 1.512820+5 3.183610+1 1.503390+5 3.225390+1 1.489080+5200023501 157 3.255960+1 1.478610+5 3.267730+1 1.474580+5 3.288820+1 1.467370+5200023501 158 3.304200+1 1.462120+5 3.316580+1 1.457900+5 3.330930+1 1.453010+5200023501 159 3.358800+1 1.443540+5 3.360000+1 1.443130+5 3.360000+1 3.694660+6200023501 160 3.382700+1 3.590820+6 3.395750+1 3.531130+6 3.401000+1 3.507110+6200023501 161 3.401000+1 5.277250+6 3.412010+1 5.201840+6 3.432390+1 5.062240+6200023501 162 3.491640+1 4.656410+6 3.554070+1 4.228790+6 3.594750+1 3.950150+6200023501 163 3.621590+1 3.807490+6 3.692040+1 3.433040+6 3.722420+1 3.292880+6200023501 164 3.746230+1 3.183200+6 3.749500+1 3.168130+6 3.791960+1 2.972530+6200023501 165 3.842940+1 2.757290+6 3.860670+1 2.694220+6 3.929420+1 2.449670+6200023501 166 4.000000+1 2.214340+6 4.156390+1 1.842820+6 4.170910+1 1.810890+6200023501 167 4.229490+1 1.695870+6 4.318900+1 1.557840+6 4.338820+1 1.532060+6200023501 168 4.479940+1 1.349490+6 4.485060+1 1.344620+6 4.492710+1 1.337360+6200023501 169 4.550780+1 1.282190+6 4.657040+1 1.199340+6 4.659150+1 1.197710+6200023501 170 4.663770+1 1.195180+6 4.770110+1 1.137010+6 4.883700+1 1.088560+6200023501 171 4.905440+1 1.082610+6 5.000000+1 1.056760+6 5.024580+1 1.056280+6200023501 172 5.223590+1 1.052420+6 5.255860+1 1.051800+6 5.282650+1 1.051280+6200023501 173 5.306000+1 1.050830+6 5.316000+1 1.051290+6 5.316000+1 1.479490+6200023501 174 5.338750+1 1.480810+6 5.357580+1 1.481910+6 5.383700+1 1.483430+6200023501 175 5.412340+1 1.485100+6 5.422000+1 1.485670+6 5.975750+1 1.573970+6200023501 176 6.000000+1 1.577970+6 6.216830+1 1.616670+6 6.310140+1 1.633330+6200023501 177 6.480740+1 1.663780+6 6.914190+1 1.737540+6 7.000000+1 1.752500+6200023501 178 7.437960+1 1.789130+6 8.000000+1 1.836150+6 9.000000+1 1.822940+6200023501 179 9.055650+1 1.819150+6 9.060480+1 1.818820+6 9.269890+1 1.804580+6200023501 180 1.000000+2 1.756530+6 1.045510+2 1.710400+6 1.104000+2 1.651990+6200023501 181 1.189370+2 1.566740+6 1.194100+2 1.562070+6 1.224740+2 1.527170+6200023501 182 1.243960+2 1.506150+6 1.312690+2 1.431000+6 1.335680+2 1.405860+6200023501 183 1.416870+2 1.317710+6 1.425870+2 1.308630+6 1.500000+2 1.238160+6200023501 184 1.507420+2 1.231150+6 1.580270+2 1.162300+6 1.611850+2 1.132450+6200023501 185 1.732050+2 1.024880+6 1.751250+2 1.011450+6 1.861210+2 9.345690+5200023501 186 1.867410+2 9.305310+5 2.000000+2 8.441660+5 2.034860+2 8.224130+5200023501 187 2.103980+2 7.792820+5 2.157090+2 7.500160+5 2.206730+2 7.227970+5200023501 188 2.213360+2 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7.457790+2-1.872320+0 7.652860+2-1.745450+0200027506 1585 7.952920+2-1.582670+0 8.451940+2-1.367590+0 8.693620+2-1.280620+0200027506 1586 9.390470+2-1.077040+0 1.011500+3-9.651630-1 1.075580+3-8.934820-1200027506 1587 1.143200+3-8.666820-1 1.266220+3-8.528590-1 1.333830+3-8.544560-1200027506 1588 1.465230+3-9.121990-1 1.607940+3-9.785490-1 1.782950+3-1.087360+0200027506 1589 1.969520+3-1.220410+0 2.154890+3-1.348190+0 2.325590+3-1.482530+0200027506 1590 2.578310+3-1.690570+0 2.721640+3-1.827800+0 2.942110+3-2.051090+0200027506 1591 3.197810+3-2.388670+0 3.341230+3-2.623390+0 3.469530+3-2.890250+0200027506 1592 3.661960+3-3.459670+0 3.759850+3-3.909040+0 3.863110+3-4.665370+0200027506 1593 3.901350+3-5.129250+0 3.923780+3-5.517450+0 3.934580+3-5.757160+0200027506 1594 3.941830+3-5.942490+0 3.948440+3-6.130420+0 3.952540+3-6.255040+0200027506 1595 3.956380+3-6.377850+0 3.959990+3-6.498020+0 3.964980+3-6.668360+0200027506 1596 3.969580+3-6.829560+0 3.975900+3-7.049920+0 3.982100+3-7.258010+0200027506 1597 3.989810+3-7.490040+0 3.998470+3-7.694430+0 4.013910+3-7.826760+0200027506 1598 4.029340+3-7.656610+0 4.043640+3-7.261010+0 4.057350+3-6.758550+0200027506 1599 4.074690+3-6.120420+0 4.091210+3-5.565400+0 4.124490+3-4.809810+0200027506 1600 4.182510+3-4.003530+0 4.234610+3-3.497510+0 4.325790+3-2.842000+0200027506 1601 4.394170+3-2.463790+0 4.496750+3-2.013240+0 4.605690+3-1.666590+0200027506 1602 4.809220+3-1.162350+0 4.920500+3-9.387120-1 5.019120+3-7.847320-1200027506 1603 5.248170+3-4.779740-1 5.419970+3-2.807490-1 5.736580+3-2.155380-2200027506 1604 5.866260+3 7.282500-2 5.931100+3 1.115410-1 5.963520+3 1.271910-1200027506 1605 6.023670+3 1.436290-1 6.283660+3 2.593320-1 6.373840+3 2.929630-1200027506 1606 6.431420+3 3.068840-1 6.471370+3 3.109580-1 6.869130+3 4.219830-1200027506 1607 6.960460+3 4.368190-1 7.038201+3 4.372070-1 7.528971+3 5.228650-1200027506 1608 7.681150+3 5.422020-1 8.879020+3 5.942440-1 1.017640+4 5.900260-1200027506 1609 1.106080+4 5.718010-1 1.457640+4 4.605250-1 1.771420+4 3.757120-1200027506 1610 2.112700+4 3.052490-1 2.366070+4 2.629410-1 2.918780+4 1.989330-1200027506 1611 3.325390+4 1.643200-1 3.773400+4 1.357820-1 4.365500+4 1.085100-1200027506 1612 5.000000+4 8.740040-2 5.715360+4 7.034310-2 6.521460+4 5.645800-2200027506 1613 7.374130+4 4.578770-2 8.000000+4 3.989120-2 9.101570+4 3.182820-2200027506 1614 9.790150+4 2.802280-2 1.061640+5 2.431360-2 1.183810+5 2.001050-2200027506 1615 1.334400+5 1.609560-2 1.430980+5 1.417390-2 1.527210+5 1.257040-2200027506 1616 1.629200+5 1.114160-2 1.899800+5 8.243690-3 2.020050+5 7.255840-3200027506 1617 2.156350+5 6.320280-3 2.324650+5 5.405890-3 2.458520+5 4.793500-3200027506 1618 2.647010+5 4.092190-3 2.809850+5 3.593860-3 3.000000+5 3.114880-3200027506 1619 3.280420+5 2.554300-3 3.689100+5 1.955940-3 4.032620+5 1.586240-3200027506 1620 4.326980+5 1.337650-3 4.598980+5 1.148230-3 5.044970+5 9.021690-4200027506 1621 5.504060+5 7.094730-4 5.841390+5 5.946440-4 6.433520+5 4.361690-4200027506 1622 7.167970+5 2.914440-4 7.798130+5 1.985040-4 8.465560+5 1.218200-4200027506 1623 9.101570+5 6.383660-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0200027506 1624 200027 0 1625 2000 0 0 1626 0 0 0 1627 2.100000+4 4.456970+1 -1 0 0 12100 1451 1 0.000000+0 0.000000+0 0 0 0 62100 1451 2 0.000000+0 0.000000+0 0 0 3 62100 1451 3 0.000000+0 0.000000+0 0 0 121 222100 1451 4 21-SC- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2100 1451 6 ----ENDF/B-VI MATERIAL 2100 2100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2100 1451 8 ------ENDF-6 FORMAT 2100 1451 9 =================================================================2100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2100 1451 11 ENDF/B-VI FORMAT 2100 1451 12 =================================================================2100 1451 13 CONTENTS 2100 1451 14 =================================================================2100 1451 15 MF/MT DESCRIPTION 2100 1451 16 =================================================================2100 1451 17 23/501 TOTAL CROSS SECTION 2100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2100 1451 34 =================================================================2100 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2100 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2100 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2100 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2100 1451 39 =================================================================2100 1451 40 WARNING 2100 1451 41 =================================================================2100 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2100 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2100 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2100 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2100 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2100 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2100 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2100 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2100 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2100 1451 51 =================================================================2100 1451 52 DEFINITION OF NEW TYPES OF DATA 2100 1451 53 =================================================================2100 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2100 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2100 1451 56 2100 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2100 1451 58 C2 FIELDS ARE, 2100 1451 59 2100 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2100 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2100 1451 62 2100 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2100 1451 64 2100 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2100 1451 66 2100 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2100 1451 68 T = THE THOMSON CROSS SECTION 2100 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2100 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2100 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2100 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2100 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2100 1451 74 2100 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2100 1451 76 2100 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2100 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2100 1451 79 =================================================================2100 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2100 1451 81 =================================================================2100 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2100 1451 83 HERE - 10 EV TO 100 MEV 2100 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2100 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2100 1451 86 HERE - PHOTON INTERACTION 2100 1451 87 - AVERAGE FLUORESCENCE YIELD 2100 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2100 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2100 1451 90 HERE - NO SECONDARY ENERGY DATA 2100 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2100 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2100 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2100 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2100 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2100 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2100 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2100 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2100 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2100 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2100 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2100 1451 102 =================================================================2100 1451 103 REFERENCES 2100 1451 104 =================================================================2100 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2100 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2100 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2100 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2100 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2100 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2100 1451 111 2100 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2100 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2100 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2100 1451 115 OF THE DATA, ETC. 2100 1451 116 =================================================================2100 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2100 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2100 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2100 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2100 1451 121 *RECONSTRUCTED MT NUMBERS 2100 1451 122 516 =+(515,515)+(517,517) 2100 1451 123 522 =+(534,572) 2100 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2100 1451 125 1 451 147 12100 1451 126 23 501 390 12100 1451 127 23 502 67 12100 1451 128 23 504 25 12100 1451 129 23 515 18 12100 1451 130 23 516 39 12100 1451 131 23 517 25 12100 1451 132 23 522 289 12100 1451 133 23 534 40 12100 1451 134 23 535 46 12100 1451 135 23 536 56 12100 1451 136 23 537 56 12100 1451 137 23 538 51 12100 1451 138 23 539 62 12100 1451 139 23 540 63 12100 1451 140 23 541 76 12100 1451 141 23 542 75 12100 1451 142 23 543 56 12100 1451 143 27 502 50 12100 1451 144 27 504 40 12100 1451 145 27 505 54 12100 1451 146 27 506 74 12100 1451 147 2100 1 0 148 2100 0 0 149 2.100000+4 4.456970+1 0 0 0 0210023501 150 0.000000+0 0.000000+0 0 0 1 1161210023501 151 1161 2 0 0 0 0210023501 152 1.000000+1 2.213650+6 1.054190+1 2.311730+6 1.072900+1 2.345600+6210023501 153 1.141820+1 2.473920+6 1.154780+1 2.498050+6 1.178440+1 2.542100+6210023501 154 1.215160+1 2.611070+6 1.290730+1 2.752990+6 1.307860+1 2.785160+6210023501 155 1.355400+1 2.874810+6 1.407860+1 2.949500+6 1.412990+1 2.956800+6210023501 156 1.459250+1 3.022660+6 1.500000+1 3.078130+6 1.546830+1 3.125320+6210023501 157 1.688310+1 3.252660+6 1.688590+1 3.252890+6 1.709540+1 3.269990+6210023501 158 1.806970+1 3.310570+6 1.874060+1 3.324740+6 1.988080+1 3.344840+6210023501 159 2.000000+1 3.346950+6 2.309400+1 3.276460+6 2.311090+1 3.276080+6210023501 160 2.338130+1 3.265040+6 2.633500+1 3.087610+6 2.668890+1 3.066300+6210023501 161 2.773720+1 2.987030+6 2.829800+1 2.944630+6 3.000000+1 2.807970+6210023501 162 3.255960+1 2.599730+6 3.420090+1 2.466200+6 3.451400+1 2.444130+6210023501 163 3.626500+1 2.320690+6 3.651700+1 2.302930+6 3.713090+1 2.263190+6210023501 164 3.722420+1 2.257150+6 3.801750+1 2.206240+6 3.831660+1 2.187050+6210023501 165 3.848340+1 2.176350+6 3.861980+1 2.167600+6 3.879370+1 2.156440+6210023501 166 3.894610+1 2.146660+6 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2.531760+2-1.367150+1 2.833730+2-1.376610+1210027506 1767 3.082820+2-1.406190+1 3.282310+2-1.455720+1 3.583760+2-1.586070+1210027506 1768 3.756800+2-1.720310+1 3.851570+2-1.839780+1 3.944450+2-2.015260+1210027506 1769 3.990950+2-2.160740+1 4.012110+2-2.260870+1 4.025080+2-2.338010+1210027506 1770 4.036700+2-2.417770+1 4.046590+2-2.491400+1 4.056150+2-2.564540+1210027506 1771 4.064890+2-2.627370+1 4.072440+2-2.677590+1 4.094290+2-2.764500+1210027506 1772 4.112460+2-2.775490+1 4.133050+2-2.706000+1 4.153010+2-2.591150+1210027506 1773 4.180270+2-2.415440+1 4.214010+2-2.205810+1 4.269240+2-1.969630+1210027506 1774 4.354990+2-1.733030+1 4.449240+2-1.553090+1 4.548160+2-1.409970+1210027506 1775 4.698970+2-1.272130+1 4.789170+2-1.225210+1 4.860960+2-1.233760+1210027506 1776 4.902400+2-1.260990+1 4.922550+2-1.269830+1 4.942930+2-1.264010+1210027506 1777 4.979750+2-1.212990+1 5.027280+2-1.122270+1 5.070830+2-1.060450+1210027506 1778 5.158620+2-9.749410+0 5.220190+2-9.255520+0 5.457070+2-7.764980+0210027506 1779 5.728160+2-6.414780+0 5.820090+2-6.056570+0 6.174550+2-4.938290+0210027506 1780 6.335150+2-4.495140+0 6.789770+2-3.569950+0 7.192670+2-3.002790+0210027506 1781 7.416120+2-2.723000+0 8.126730+2-1.989270+0 8.274390+2-1.886170+0210027506 1782 8.745820+2-1.610420+0 9.000000+2-1.480040+0 9.598410+2-1.261540+0210027506 1783 1.014470+3-1.114800+0 1.080960+3-9.826250-1 1.135310+3-8.998650-1210027506 1784 1.178070+3-8.612590-1 1.288490+3-8.090080-1 1.365040+3-8.031810-1210027506 1785 1.530310+3-8.245070-1 1.655920+3-8.772620-1 1.785430+3-9.280650-1210027506 1786 1.958060+3-1.021100+0 2.159990+3-1.152050+0 2.376880+3-1.300430+0210027506 1787 2.527870+3-1.409740+0 2.814510+3-1.629730+0 2.933850+3-1.717230+0210027506 1788 3.226340+3-1.987200+0 3.459570+3-2.247410+0 3.571740+3-2.394640+0210027506 1789 3.747760+3-2.668520+0 3.858970+3-2.878250+0 4.073070+3-3.452280+0210027506 1790 4.184790+3-3.921840+0 4.296860+3-4.664480+0 4.339380+3-5.130250+0210027506 1791 4.364330+3-5.519850+0 4.377570+3-5.787710+0 4.388170+3-6.040110+0210027506 1792 4.396320+3-6.259640+0 4.400600+3-6.382760+0 4.404610+3-6.503200+0210027506 1793 4.410170+3-6.673930+0 4.415270+3-6.835510+0 4.421390+3-7.028820+0210027506 1794 4.429210+3-7.265140+0 4.437790+3-7.497950+0 4.447420+3-7.703080+0210027506 1795 4.464950+3-7.836990+0 4.482470+3-7.656900+0 4.498710+3-7.245160+0210027506 1796 4.514280+3-6.729890+0 4.533960+3-6.085350+0 4.552730+3-5.534160+0210027506 1797 4.586280+3-4.846680+0 4.651410+3-4.033470+0 4.704210+3-3.562240+0210027506 1798 4.800510+3-2.918920+0 4.944980+3-2.227210+0 5.089440+3-1.730560+0210027506 1799 5.265550+3-1.274130+0 5.353600+3-1.087700+0 5.441660+3-9.416450-1210027506 1800 5.738560+3-5.163980-1 5.875241+3-3.516230-1 5.947500+3-2.796980-1210027506 1801 6.019770+3-2.266770-1 6.245991+3-8.501770-2 6.397010+3 2.416290-3210027506 1802 6.539300+3 8.587410-2 6.685960+3 1.637850-1 6.763120+3 1.962700-1210027506 1803 6.814280+3 2.120960-1 6.853330+3 2.158210-1 6.968690+3 2.511710-1210027506 1804 7.255500+3 3.521090-1 7.404210+3 3.940280-1 7.472560+3 4.060390-1210027506 1805 7.536491+3 4.093860-1 7.897840+3 4.718240-1 8.112721+3 4.894340-1210027506 1806 8.474460+3 5.379110-1 9.881920+3 6.090650-1 1.172540+4 5.827350-1210027506 1807 1.792550+4 4.173550-1 2.192830+4 3.313390-1 2.560320+4 2.722320-1210027506 1808 2.933620+4 2.277680-1 3.325390+4 1.908720-1 3.607810+4 1.702130-1210027506 1809 3.994270+4 1.459950-1 4.548030+4 1.197740-1 4.844560+4 1.085390-1210027506 1810 5.285870+4 9.471910-2 5.648840+4 8.509850-2 6.521460+4 6.714030-2210027506 1811 7.405920+4 5.418850-2 7.920660+4 4.832430-2 9.101570+4 3.804690-2210027506 1812 9.774879+4 3.361870-2 1.060220+5 2.918900-2 1.139010+5 2.570590-2210027506 1813 1.229070+5 2.244620-2 1.308640+5 2.004970-2 1.470230+5 1.620350-2210027506 1814 1.582170+5 1.415640-2 1.730830+5 1.200500-2 1.942120+5 9.521890-3210027506 1815 2.051330+5 8.491310-3 2.220390+5 7.206560-3 2.378050+5 6.223640-3210027506 1816 2.604350+5 5.133780-3 2.903370+5 4.051720-3 3.109840+5 3.483620-3210027506 1817 3.311840+5 3.027560-3 3.542840+5 2.598460-3 3.899760+5 2.079550-3210027506 1818 4.153910+5 1.788650-3 4.598630+5 1.391580-3 5.038940+5 1.096090-3210027506 1819 5.504060+5 8.591730-4 5.841390+5 7.201210-4 6.461930+5 5.213690-4210027506 1820 7.196460+5 3.478810-4 7.798130+5 2.403880-4 8.465560+5 1.475260-4210027506 1821 9.101570+5 7.733020-5 1.000000+6 0.000000+0 1.000000+8 0.000000+0210027506 1822 210027 0 1823 2100 0 0 1824 0 0 0 1825 2.200000+4 4.748850+1 -1 0 0 12200 1451 1 0.000000+0 0.000000+0 0 0 0 62200 1451 2 0.000000+0 0.000000+0 0 0 3 62200 1451 3 0.000000+0 0.000000+0 0 0 121 222200 1451 4 22-TI- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2200 1451 6 ----ENDF/B-VI MATERIAL 2200 2200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2200 1451 8 ------ENDF-6 FORMAT 2200 1451 9 =================================================================2200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2200 1451 11 ENDF/B-VI FORMAT 2200 1451 12 =================================================================2200 1451 13 CONTENTS 2200 1451 14 =================================================================2200 1451 15 MF/MT DESCRIPTION 2200 1451 16 =================================================================2200 1451 17 23/501 TOTAL CROSS SECTION 2200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2200 1451 34 =================================================================2200 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2200 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2200 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2200 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2200 1451 39 =================================================================2200 1451 40 WARNING 2200 1451 41 =================================================================2200 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2200 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2200 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2200 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2200 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2200 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2200 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2200 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2200 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2200 1451 51 =================================================================2200 1451 52 DEFINITION OF NEW TYPES OF DATA 2200 1451 53 =================================================================2200 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2200 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2200 1451 56 2200 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2200 1451 58 C2 FIELDS ARE, 2200 1451 59 2200 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2200 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2200 1451 62 2200 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2200 1451 64 2200 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2200 1451 66 2200 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2200 1451 68 T = THE THOMSON CROSS SECTION 2200 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2200 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2200 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2200 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2200 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2200 1451 74 2200 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2200 1451 76 2200 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2200 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2200 1451 79 =================================================================2200 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2200 1451 81 =================================================================2200 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2200 1451 83 HERE - 10 EV TO 100 MEV 2200 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2200 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2200 1451 86 HERE - PHOTON INTERACTION 2200 1451 87 - AVERAGE FLUORESCENCE YIELD 2200 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2200 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2200 1451 90 HERE - NO SECONDARY ENERGY DATA 2200 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2200 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2200 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2200 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2200 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2200 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2200 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2200 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2200 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2200 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2200 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2200 1451 102 =================================================================2200 1451 103 REFERENCES 2200 1451 104 =================================================================2200 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2200 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2200 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2200 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2200 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2200 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2200 1451 111 2200 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2200 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2200 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2200 1451 115 OF THE DATA, ETC. 2200 1451 116 =================================================================2200 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2200 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2200 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2200 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2200 1451 121 *RECONSTRUCTED MT NUMBERS 2200 1451 122 516 =+(515,515)+(517,517) 2200 1451 123 522 =+(534,572) 2200 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2200 1451 125 1 451 147 12200 1451 126 23 501 422 12200 1451 127 23 502 64 12200 1451 128 23 504 24 12200 1451 129 23 515 18 12200 1451 130 23 516 39 12200 1451 131 23 517 25 12200 1451 132 23 522 324 12200 1451 133 23 534 39 12200 1451 134 23 535 45 12200 1451 135 23 536 55 12200 1451 136 23 537 56 12200 1451 137 23 538 50 12200 1451 138 23 539 61 12200 1451 139 23 540 62 12200 1451 140 23 541 75 12200 1451 141 23 542 75 12200 1451 142 23 543 57 12200 1451 143 27 502 50 12200 1451 144 27 504 40 12200 1451 145 27 505 52 12200 1451 146 27 506 74 12200 1451 147 2200 1 0 148 2200 0 0 149 2.200000+4 4.748850+1 0 0 0 0220023501 150 0.000000+0 0.000000+0 0 0 1 1255220023501 151 1255 2 0 0 0 0220023501 152 1.000000+1 2.558140+6 1.035460+1 2.673340+6 1.073340+1 2.797350+6220023501 153 1.116250+1 2.939280+6 1.142240+1 3.026360+6 1.154780+1 3.068380+6220023501 154 1.168840+1 3.115490+6 1.208370+1 3.249520+6 1.273210+1 3.472060+6220023501 155 1.347380+1 3.730960+6 1.384420+1 3.860250+6 1.406800+1 3.939410+6220023501 156 1.407860+1 3.943100+6 1.425870+1 4.005770+6 1.500000+1 4.198390+6220023501 157 1.554920+1 4.337420+6 1.655920+1 4.584470+6 1.670870+1 4.619450+6220023501 158 1.688590+1 4.656000+6 1.798500+1 4.882700+6 1.817740+1 4.921010+6220023501 159 1.861210+1 5.007560+6 1.988080+1 5.129130+6 2.250550+1 5.380630+6220023501 160 2.308430+1 5.414500+6 2.309400+1 5.414550+6 2.480220+1 5.423970+6220023501 161 2.635220+1 5.432520+6 2.648450+1 5.429870+6 2.773720+1 5.356870+6220023501 162 2.851740+1 5.311410+6 2.924930+1 5.267530+6 3.000000+1 5.222530+6220023501 163 3.223710+1 4.996750+6 3.255960+1 4.964200+6 3.864350+1 4.350060+6220023501 164 3.999640+1 4.213490+6 4.121500+1 4.090470+6 4.331180+1 3.878810+6220023501 165 4.368080+1 3.841560+6 4.388680+1 3.820770+6 4.405750+1 3.803540+6220023501 166 4.442000+1 3.766950+6 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6.585200-2220027506 1866 7.910829+4 5.708650-2 8.743800+4 4.808470-2 1.000000+5 3.812300-2220027506 1867 1.134590+5 3.047940-2 1.283370+5 2.447410-2 1.413860+5 2.062180-2220027506 1868 1.510740+5 1.824700-2 1.620180+5 1.602330-2 1.747480+5 1.393300-2220027506 1869 1.900090+5 1.192400-2 2.051330+5 1.030290-2 2.218670+5 8.733380-3220027506 1870 2.365370+5 7.635170-3 2.518290+5 6.679360-3 2.820690+5 5.224460-3220027506 1871 3.118950+5 4.199660-3 3.487830+5 3.260310-3 3.796390+5 2.682220-3220027506 1872 4.182500+5 2.133620-3 4.511360+5 1.769400-3 5.071510+5 1.305010-3220027506 1873 5.516260+5 1.032680-3 5.882690+5 8.533190-4 6.433520+5 6.398460-4220027506 1874 6.647630+5 5.705550-4 7.279380+5 4.007120-4 8.000000+5 2.541520-4220027506 1875 8.824980+5 1.284510-4 9.777460+5 2.094160-5 1.000000+6 0.000000+0220027506 1876 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0220027506 1877 220027 0 1878 2200 0 0 1879 0 0 0 1880 2.300000+4 5.050380+1 -1 0 0 12300 1451 1 0.000000+0 0.000000+0 0 0 0 62300 1451 2 0.000000+0 0.000000+0 0 0 3 62300 1451 3 0.000000+0 0.000000+0 0 0 121 222300 1451 4 23-V - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2300 1451 6 ----ENDF/B-VI MATERIAL 2300 2300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2300 1451 8 ------ENDF-6 FORMAT 2300 1451 9 =================================================================2300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2300 1451 11 ENDF/B-VI FORMAT 2300 1451 12 =================================================================2300 1451 13 CONTENTS 2300 1451 14 =================================================================2300 1451 15 MF/MT DESCRIPTION 2300 1451 16 =================================================================2300 1451 17 23/501 TOTAL CROSS SECTION 2300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2300 1451 34 =================================================================2300 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2300 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2300 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2300 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2300 1451 39 =================================================================2300 1451 40 WARNING 2300 1451 41 =================================================================2300 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2300 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2300 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2300 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2300 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2300 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2300 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2300 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2300 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2300 1451 51 =================================================================2300 1451 52 DEFINITION OF NEW TYPES OF DATA 2300 1451 53 =================================================================2300 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2300 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2300 1451 56 2300 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2300 1451 58 C2 FIELDS ARE, 2300 1451 59 2300 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2300 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2300 1451 62 2300 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2300 1451 64 2300 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2300 1451 66 2300 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2300 1451 68 T = THE THOMSON CROSS SECTION 2300 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2300 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2300 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2300 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2300 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2300 1451 74 2300 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2300 1451 76 2300 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2300 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2300 1451 79 =================================================================2300 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2300 1451 81 =================================================================2300 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2300 1451 83 HERE - 10 EV TO 100 MEV 2300 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2300 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2300 1451 86 HERE - PHOTON INTERACTION 2300 1451 87 - AVERAGE FLUORESCENCE YIELD 2300 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2300 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2300 1451 90 HERE - NO SECONDARY ENERGY DATA 2300 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2300 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2300 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2300 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2300 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2300 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2300 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2300 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2300 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2300 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2300 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2300 1451 102 =================================================================2300 1451 103 REFERENCES 2300 1451 104 =================================================================2300 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2300 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2300 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2300 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2300 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2300 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2300 1451 111 2300 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2300 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2300 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2300 1451 115 OF THE DATA, ETC. 2300 1451 116 =================================================================2300 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2300 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2300 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2300 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2300 1451 121 *RECONSTRUCTED MT NUMBERS 2300 1451 122 516 =+(515,515)+(517,517) 2300 1451 123 522 =+(534,572) 2300 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2300 1451 125 1 451 147 12300 1451 126 23 501 424 12300 1451 127 23 502 64 12300 1451 128 23 504 24 12300 1451 129 23 515 17 12300 1451 130 23 516 38 12300 1451 131 23 517 25 12300 1451 132 23 522 327 12300 1451 133 23 534 39 12300 1451 134 23 535 45 12300 1451 135 23 536 55 12300 1451 136 23 537 55 12300 1451 137 23 538 50 12300 1451 138 23 539 60 12300 1451 139 23 540 60 12300 1451 140 23 541 74 12300 1451 141 23 542 74 12300 1451 142 23 543 59 12300 1451 143 27 502 50 12300 1451 144 27 504 40 12300 1451 145 27 505 53 12300 1451 146 27 506 74 12300 1451 147 2300 1 0 148 2300 0 0 149 2.300000+4 5.050380+1 0 0 0 0230023501 150 0.000000+0 0.000000+0 0 0 1 1263230023501 151 1263 2 0 0 0 0230023501 152 1.000000+1 2.466430+6 1.018380+1 2.530970+6 1.034020+1 2.585960+6230023501 153 1.051730+1 2.648330+6 1.071030+1 2.716440+6 1.088710+1 2.779000+6230023501 154 1.103930+1 2.833040+6 1.116580+1 2.877960+6 1.141730+1 2.967670+6230023501 155 1.164850+1 3.050630+6 1.191660+1 3.147560+6 1.197120+1 3.167300+6230023501 156 1.219090+1 3.247280+6 1.229830+1 3.286750+6 1.246000+1 3.346180+6230023501 157 1.271900+1 3.442460+6 1.287460+1 3.500300+6 1.347010+1 3.725580+6230023501 158 1.391910+1 3.898870+6 1.423110+1 4.019280+6 1.438310+1 4.078390+6230023501 159 1.462310+1 4.171710+6 1.500000+1 4.318270+6 1.554920+1 4.501480+6230023501 160 1.593380+1 4.626560+6 1.626870+1 4.735470+6 1.648700+1 4.804420+6230023501 161 1.689640+1 4.933730+6 1.773290+1 5.189940+6 1.794520+1 5.254960+6230023501 162 1.861210+1 5.453770+6 2.000000+1 5.782920+6 2.035320+1 5.857170+6230023501 163 2.163400+1 6.126430+6 2.244000+1 6.295870+6 2.308430+1 6.401420+6230023501 164 2.477520+1 6.574920+6 2.641890+1 6.743580+6 2.675580+1 6.769970+6230023501 165 2.682850+1 6.772860+6 2.915230+1 6.865400+6 3.000000+1 6.899160+6230023501 166 3.364560+1 6.781490+6 3.398210+1 6.757050+6 3.446400+1 6.722070+6230023501 167 3.722420+1 6.465740+6 3.753630+1 6.436690+6 3.834880+1 6.339740+6230023501 168 4.000000+1 6.142710+6 4.141790+1 5.962650+6 4.403980+1 5.629710+6230023501 169 4.624230+1 5.398450+6 4.814770+1 5.198390+6 4.846670+1 5.164890+6230023501 170 4.892780+1 5.121180+6 4.922180+1 5.093310+6 4.946700+1 5.070070+6230023501 171 4.979000+1 5.039450+6 4.979000+1 6.357440+6 4.996030+1 6.326920+6230023501 172 5.014830+1 6.293220+6 5.054290+1 6.222500+6 5.065000+1 6.203300+6230023501 173 5.065000+1 6.849700+6 5.087000+1 6.801440+6 5.127470+1 6.712660+6230023501 174 5.363730+1 6.194400+6 5.516170+1 5.885730+6 5.607630+1 5.707260+6230023501 175 5.672950+1 5.579800+6 5.834180+1 5.292780+6 5.908270+1 5.165960+6230023501 176 6.000000+1 5.008940+6 6.194100+1 4.754970+6 6.273160+1 4.663900+6230023501 177 6.326510+1 4.602440+6 6.437660+1 4.483680+6 6.447420+1 4.474570+6230023501 178 6.480740+1 4.443610+6 6.703000+1 4.254550+6 6.735370+1 4.228630+6230023501 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1.670870+2 1.780770+6230023501 192 1.701190+2 1.735200+6 1.722700+2 1.707730+6 1.844550+2 1.552990+6230023501 193 1.977830+2 1.404840+6 2.000000+2 1.380200+6 2.097140+2 1.280680+6230023501 194 2.103980+2 1.273930+6 2.116730+2 1.262210+6 2.151150+2 1.230580+6230023501 195 2.213360+2 1.178840+6 2.286410+2 1.120600+6 2.299120+2 1.111290+6230023501 196 2.327260+2 1.090780+6 2.447070+2 1.003440+6 2.452760+2 9.995990+5230023501 197 2.458620+2 9.958250+5 2.528320+2 9.509270+5 2.576840+2 9.197740+5230023501 198 2.631750+2 8.875510+5 2.710810+2 8.444200+5 2.805210+2 7.959340+5230023501 199 2.809850+2 7.936270+5 2.833730+2 7.824720+5 2.851740+2 7.740870+5230023501 200 2.895140+2 7.555420+5 2.994120+2 7.132470+5 3.000000+2 7.107350+5230023501 201 3.223710+2 6.194310+5 3.230600+2 6.172720+5 3.471900+2 5.420050+5230023501 202 3.522100+2 5.272080+5 3.590940+2 5.069170+5 3.617010+2 5.009630+5230023501 203 3.677610+2 4.871230+5 3.764490+2 4.673840+5 4.000000+2 4.166160+5230023501 204 4.005780+2 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7.066980+1-2.129220+1 7.502720+1-2.167500+1230027506 1817 7.566010+1-2.188280+1 7.627000+1-2.201060+1 7.705400+1-2.190540+1230027506 1818 7.765060+1-2.168510+1 7.971140+1-2.128200+1 9.584730+1-2.019750+1230027506 1819 1.114320+2-1.922390+1 1.298660+2-1.811930+1 1.500000+2-1.704880+1230027506 1820 1.893800+2-1.543580+1 2.116730+2-1.473310+1 2.458620+2-1.399190+1230027506 1821 2.994120+2-1.338850+1 3.522100+2-1.338370+1 4.005780+2-1.391840+1230027506 1822 4.238940+2-1.443250+1 4.547810+2-1.547500+1 4.788530+2-1.686700+1230027506 1823 4.926490+2-1.811980+1 5.056070+2-2.001720+1 5.119940+2-2.157040+1230027506 1824 5.148110+2-2.262270+1 5.165860+2-2.346030+1 5.180060+2-2.422590+1230027506 1825 5.194090+2-2.504170+1 5.205330+2-2.570220+1 5.217180+2-2.635030+1230027506 1826 5.226340+2-2.678830+1 5.255620+2-2.763110+1 5.275900+2-2.778490+1230027506 1827 5.297250+2-2.743990+1 5.325830+2-2.642200+1 5.368520+2-2.447480+1230027506 1828 5.406710+2-2.265090+1 5.445670+2-2.105380+1 5.492260+2-1.946200+1230027506 1829 5.579620+2-1.743420+1 5.710150+2-1.545220+1 5.799090+2-1.443490+1230027506 1830 5.872630+2-1.376930+1 6.034550+2-1.277220+1 6.129460+2-1.270000+1230027506 1831 6.186790+2-1.292990+1 6.212220+2-1.301130+1 6.239180+2-1.293600+1230027506 1832 6.287460+2-1.238490+1 6.335620+2-1.159830+1 6.405730+2-1.069190+1230027506 1833 6.530510+2-9.662830+0 6.664680+2-8.855670+0 6.976930+2-7.330420+0230027506 1834 7.226900+2-6.413960+0 7.489640+2-5.635860+0 7.846880+2-4.748010+0230027506 1835 8.389950+2-3.760900+0 8.728260+2-3.255210+0 9.329910+2-2.569560+0230027506 1836 9.643400+2-2.313770+0 1.000000+3-2.058840+0 1.030080+3-1.859140+0230027506 1837 1.064190+3-1.658310+0 1.081150+3-1.565270+0 1.149560+3-1.303890+0230027506 1838 1.203110+3-1.151080+0 1.275400+3-9.811210-1 1.297380+3-9.371490-1230027506 1839 1.397060+3-8.144140-1 1.500000+3-7.474970-1 1.582250+3-7.175280-1230027506 1840 1.766950+3-7.140600-1 1.935590+3-7.474120-1 2.000000+3-7.673110-1230027506 1841 2.073150+3-8.046210-1 2.190030+3-8.556500-1 2.413690+3-9.718540-1230027506 1842 2.710540+3-1.136550+0 2.980340+3-1.286880+0 3.301980+3-1.497000+0230027506 1843 3.627750+3-1.711670+0 4.033000+3-2.035020+0 4.316270+3-2.312900+0230027506 1844 4.572820+3-2.643260+0 4.700230+3-2.841570+0 4.961120+3-3.420690+0230027506 1845 5.091570+3-3.861040+0 5.233820+3-4.635110+0 5.285620+3-5.101700+0230027506 1846 5.316010+3-5.491960+0 5.330640+3-5.732850+0 5.340460+3-5.918990+0230027506 1847 5.350370+3-6.129170+0 5.354970+3-6.232890+0 5.360180+3-6.356220+0230027506 1848 5.365070+3-6.476880+0 5.371840+3-6.647910+0 5.378060+3-6.809770+0230027506 1849 5.385510+3-7.003380+0 5.395030+3-7.240010+0 5.405480+3-7.473040+0230027506 1850 5.417210+3-7.678540+0 5.437950+3-7.806660+0 5.457540+3-7.658780+0230027506 1851 5.475700+3-7.294390+0 5.500870+3-6.638560+0 5.524000+3-6.005380+0230027506 1852 5.538300+3-5.630890+0 5.561180+3-5.170420+0 5.605510+3-4.571880+0230027506 1853 5.688630+3-3.817960+0 5.761360+3-3.340940+0 5.888640+3-2.711110+0230027506 1854 6.000370+3-2.292130+0 6.127280+3-1.898780+0 6.270471+3-1.568760+0230027506 1855 6.537610+3-1.086640+0 6.671180+3-8.839720-1 6.804750+3-7.211360-1230027506 1856 7.115451+3-3.986260-1 7.270800+3-2.614090-1 7.348480+3-2.040440-1230027506 1857 7.736310+3 3.690110-3 7.848780+3 6.437650-2 7.919221+3 9.456850-2230027506 1858 8.074400+3 1.379940-1 8.371031+3 2.465220-1 8.584231+3 3.107650-1230027506 1859 8.769201+3 3.371630-1 9.098180+3 4.110570-1 9.286371+3 4.459330-1230027506 1860 9.395220+3 4.585480-1 9.483691+3 4.592950-1 1.011980+4 5.399600-1230027506 1861 1.046640+4 5.504540-1 1.121240+4 6.034990-1 1.229450+4 6.130940-1230027506 1862 1.463030+4 5.871450-1 2.216920+4 4.122150-1 2.709410+4 3.259200-1230027506 1863 3.145560+4 2.707390-1 3.693320+4 2.177290-1 3.898280+4 2.011650-1230027506 1864 4.314830+4 1.745720-1 4.746500+4 1.509360-1 5.465880+4 1.217670-1230027506 1865 6.198190+4 9.992310-2 6.772720+4 8.685870-2 7.295950+4 7.684330-2230027506 1866 7.920750+4 6.712480-2 8.809779+4 5.603530-2 9.927179+4 4.557460-2230027506 1867 1.075580+5 3.970860-2 1.143200+5 3.566090-2 1.281990+5 2.905850-2230027506 1868 1.398510+5 2.493060-2 1.500000+5 2.193730-2 1.612610+5 1.920550-2230027506 1869 1.739430+5 1.671660-2 1.865390+5 1.467290-2 2.014820+5 1.270440-2230027506 1870 2.151150+5 1.120620-2 2.457200+5 8.586480-3 2.624580+5 7.457900-3230027506 1871 2.940930+5 5.818590-3 3.209250+5 4.808050-3 3.471900+5 4.026960-3230027506 1872 3.705290+5 3.462330-3 4.031860+5 2.844360-3 4.421020+5 2.267320-3230027506 1873 4.598630+5 2.055960-3 5.046020+5 1.613070-3 5.504060+5 1.268710-3230027506 1874 5.841390+5 1.063890-3 6.433520+5 7.804920-4 7.167380+5 5.215220-4230027506 1875 7.798130+5 3.551370-4 8.473520+5 2.168590-4 9.101570+5 1.143090-4230027506 1876 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0230027506 1877 230027 0 1878 2300 0 0 1879 0 0 0 1880 2.400000+4 5.154930+1 -1 0 0 12400 1451 1 0.000000+0 0.000000+0 0 0 0 62400 1451 2 0.000000+0 0.000000+0 0 0 3 62400 1451 3 0.000000+0 0.000000+0 0 0 121 222400 1451 4 24-CR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2400 1451 6 ----ENDF/B-VI MATERIAL 2400 2400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2400 1451 8 ------ENDF-6 FORMAT 2400 1451 9 =================================================================2400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2400 1451 11 ENDF/B-VI FORMAT 2400 1451 12 =================================================================2400 1451 13 CONTENTS 2400 1451 14 =================================================================2400 1451 15 MF/MT DESCRIPTION 2400 1451 16 =================================================================2400 1451 17 23/501 TOTAL CROSS SECTION 2400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2400 1451 34 =================================================================2400 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2400 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2400 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2400 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2400 1451 39 =================================================================2400 1451 40 WARNING 2400 1451 41 =================================================================2400 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2400 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2400 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2400 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2400 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2400 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2400 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2400 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2400 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2400 1451 51 =================================================================2400 1451 52 DEFINITION OF NEW TYPES OF DATA 2400 1451 53 =================================================================2400 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2400 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2400 1451 56 2400 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2400 1451 58 C2 FIELDS ARE, 2400 1451 59 2400 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2400 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2400 1451 62 2400 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2400 1451 64 2400 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2400 1451 66 2400 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2400 1451 68 T = THE THOMSON CROSS SECTION 2400 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2400 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2400 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2400 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2400 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2400 1451 74 2400 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2400 1451 76 2400 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2400 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2400 1451 79 =================================================================2400 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2400 1451 81 =================================================================2400 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2400 1451 83 HERE - 10 EV TO 100 MEV 2400 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2400 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2400 1451 86 HERE - PHOTON INTERACTION 2400 1451 87 - AVERAGE FLUORESCENCE YIELD 2400 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2400 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2400 1451 90 HERE - NO SECONDARY ENERGY DATA 2400 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2400 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2400 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2400 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2400 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2400 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2400 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2400 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2400 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2400 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2400 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2400 1451 102 =================================================================2400 1451 103 REFERENCES 2400 1451 104 =================================================================2400 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2400 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2400 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2400 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2400 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2400 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2400 1451 111 2400 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2400 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2400 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2400 1451 115 OF THE DATA, ETC. 2400 1451 116 =================================================================2400 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2400 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2400 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2400 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2400 1451 121 *RECONSTRUCTED MT NUMBERS 2400 1451 122 516 =+(515,515)+(517,517) 2400 1451 123 522 =+(534,572) 2400 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2400 1451 125 1 451 147 12400 1451 126 23 501 405 12400 1451 127 23 502 64 12400 1451 128 23 504 24 12400 1451 129 23 515 17 12400 1451 130 23 516 38 12400 1451 131 23 517 25 12400 1451 132 23 522 308 12400 1451 133 23 534 38 12400 1451 134 23 535 44 12400 1451 135 23 536 54 12400 1451 136 23 537 54 12400 1451 137 23 538 49 12400 1451 138 23 539 60 12400 1451 139 23 540 60 12400 1451 140 23 541 73 12400 1451 141 23 542 72 12400 1451 142 23 543 58 12400 1451 143 27 502 52 12400 1451 144 27 504 42 12400 1451 145 27 505 52 12400 1451 146 27 506 74 12400 1451 147 2400 1 0 148 2400 0 0 149 2.400000+4 5.154930+1 0 0 0 0240023501 150 0.000000+0 0.000000+0 0 0 1 1206240023501 151 1206 2 0 0 0 0240023501 152 1.000000+1 7.568600+6 1.012750+1 7.599290+6 1.035460+1 7.654010+6240023501 153 1.059410+1 7.711790+6 1.076050+1 7.751990+6 1.096380+1 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1.092720+3-2.012760+0 1.136280+3-1.788000+0 1.211790+3-1.432060+0240027506 1792 1.272680+3-1.215950+0 1.344840+3-1.041340+0 1.402760+3-9.447440-1240027506 1793 1.467600+3-8.557890-1 1.531860+3-7.946010-1 1.655920+3-7.238750-1240027506 1794 1.691600+3-7.051870-1 1.756620+3-6.943210-1 1.888350+3-6.984680-1240027506 1795 2.063340+3-7.363480-1 2.213360+3-7.832840-1 2.318130+3-8.231020-1240027506 1796 2.465130+3-8.849680-1 2.559610+3-9.279490-1 2.797420+3-1.054900+0240027506 1797 3.094200+3-1.217170+0 3.351600+3-1.350910+0 3.552860+3-1.475370+0240027506 1798 3.841410+3-1.646860+0 4.280000+3-1.954590+0 4.488340+3-2.129820+0240027506 1799 4.708570+3-2.330680+0 5.000470+3-2.681010+0 5.168950+3-2.938860+0240027506 1800 5.438520+3-3.498690+0 5.576400+3-3.931950+0 5.732220+3-4.715100+0240027506 1801 5.788960+3-5.182690+0 5.822241+3-5.571000+0 5.838260+3-5.809520+0240027506 1802 5.849020+3-5.993490+0 5.859630+3-6.195820+0 5.870620+3-6.425150+0240027506 1803 5.875970+3-6.544300+0 5.883380+3-6.713320+0 5.890200+3-6.873410+0240027506 1804 5.898360+3-7.065310+0 5.908790+3-7.300920+0 5.920230+3-7.534930+0240027506 1805 5.933070+3-7.745040+0 5.957241+3-7.898110+0 5.981410+3-7.730900+0240027506 1806 6.006760+3-7.277900+0 6.030650+3-6.724040+0 6.057930+3-6.125170+0240027506 1807 6.083241+3-5.645770+0 6.130130+3-5.023620+0 6.193960+3-4.430550+0240027506 1808 6.260390+3-3.926550+0 6.339770+3-3.426910+0 6.458840+3-2.846760+0240027506 1809 6.577910+3-2.350270+0 6.763120+3-1.725260+0 6.882900+3-1.401260+0240027506 1810 7.078971+3-9.700530-1 7.177000+3-7.941850-1 7.275040+3-6.534410-1240027506 1811 7.505540+3-3.716450-1 7.620800+3-2.540040-1 7.678420+3-2.053750-1240027506 1812 7.981170+3-2.082790-2 8.020980+3-2.769660-4 8.103721+3 4.257620-2240027506 1813 8.195640+3 7.216480-2 8.270850+3 7.338230-2 8.354420+3 9.515510-2240027506 1814 8.720031+3 2.159350-1 8.829720+3 2.439230-1 8.884560+3 2.536830-1240027506 1815 8.928460+3 2.564410-1 8.959880+3 2.537490-1 9.029281+3 2.605250-1240027506 1816 9.664951+3 3.907030-1 9.836800+3 4.030420-1 1.041580+4 4.849210-1240027506 1817 1.127190+4 5.668630-1 1.203450+4 6.062770-1 1.322440+4 6.211040-1240027506 1818 1.604970+4 5.862250-1 2.330790+4 4.246230-1 2.923760+4 3.291970-1240027506 1819 3.388090+4 2.720830-1 3.641060+4 2.463120-1 3.979660+4 2.180010-1240027506 1820 4.600450+4 1.769550-1 5.285870+4 1.445030-1 6.130440+4 1.151710-1240027506 1821 6.564510+4 1.031480-1 7.107620+4 9.074930-2 7.920770+4 7.583570-2240027506 1822 9.058629+4 6.050050-2 9.774879+4 5.320320-2 1.052920+5 4.686770-2240027506 1823 1.143200+5 4.068340-2 1.229070+5 3.582400-2 1.312290+5 3.189720-2240027506 1824 1.418250+5 2.778480-2 1.594970+5 2.248320-2 1.730830+5 1.937500-2240027506 1825 1.935160+5 1.569220-2 2.081550+5 1.366500-2 2.213360+5 1.213660-2240027506 1826 2.376880+5 1.056760-2 2.580890+5 8.869290-3 2.752930+5 7.731220-3240027506 1827 2.924930+5 6.771650-3 3.109840+5 5.909520-3 3.311840+5 5.135810-3240027506 1828 3.542840+5 4.407510-3 3.899760+5 3.527920-3 4.153910+5 3.034300-3240027506 1829 4.598630+5 2.361340-3 5.046020+5 1.852800-3 5.504060+5 1.457170-3240027506 1830 5.841390+5 1.221880-3 6.447420+5 8.907430-4 7.167250+5 5.990390-4240027506 1831 7.798130+5 4.078620-4 8.465560+5 2.505850-4 9.101570+5 1.313610-4240027506 1832 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0240027506 1833 240027 0 1834 2400 0 0 1835 0 0 0 1836 2.500000+4 5.446610+1 -1 0 0 12500 1451 1 0.000000+0 0.000000+0 0 0 0 62500 1451 2 0.000000+0 0.000000+0 0 0 3 62500 1451 3 0.000000+0 0.000000+0 0 0 121 222500 1451 4 25-MN- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2500 1451 6 ----ENDF/B-VI MATERIAL 2500 2500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2500 1451 8 ------ENDF-6 FORMAT 2500 1451 9 =================================================================2500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2500 1451 11 ENDF/B-VI FORMAT 2500 1451 12 =================================================================2500 1451 13 CONTENTS 2500 1451 14 =================================================================2500 1451 15 MF/MT DESCRIPTION 2500 1451 16 =================================================================2500 1451 17 23/501 TOTAL CROSS SECTION 2500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2500 1451 34 =================================================================2500 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2500 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2500 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2500 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2500 1451 39 =================================================================2500 1451 40 WARNING 2500 1451 41 =================================================================2500 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2500 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2500 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2500 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2500 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2500 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2500 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2500 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2500 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2500 1451 51 =================================================================2500 1451 52 DEFINITION OF NEW TYPES OF DATA 2500 1451 53 =================================================================2500 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2500 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2500 1451 56 2500 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2500 1451 58 C2 FIELDS ARE, 2500 1451 59 2500 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2500 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2500 1451 62 2500 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2500 1451 64 2500 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2500 1451 66 2500 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2500 1451 68 T = THE THOMSON CROSS SECTION 2500 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2500 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2500 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2500 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2500 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2500 1451 74 2500 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2500 1451 76 2500 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2500 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2500 1451 79 =================================================================2500 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2500 1451 81 =================================================================2500 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2500 1451 83 HERE - 10 EV TO 100 MEV 2500 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2500 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2500 1451 86 HERE - PHOTON INTERACTION 2500 1451 87 - AVERAGE FLUORESCENCE YIELD 2500 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2500 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2500 1451 90 HERE - NO SECONDARY ENERGY DATA 2500 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2500 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2500 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2500 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2500 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2500 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2500 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2500 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2500 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2500 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2500 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2500 1451 102 =================================================================2500 1451 103 REFERENCES 2500 1451 104 =================================================================2500 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2500 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2500 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2500 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2500 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2500 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2500 1451 111 2500 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2500 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2500 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2500 1451 115 OF THE DATA, ETC. 2500 1451 116 =================================================================2500 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2500 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2500 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2500 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2500 1451 121 *RECONSTRUCTED MT NUMBERS 2500 1451 122 516 =+(515,515)+(517,517) 2500 1451 123 522 =+(534,572) 2500 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2500 1451 125 1 451 147 12500 1451 126 23 501 416 12500 1451 127 23 502 67 12500 1451 128 23 504 25 12500 1451 129 23 515 17 12500 1451 130 23 516 38 12500 1451 131 23 517 25 12500 1451 132 23 522 318 12500 1451 133 23 534 38 12500 1451 134 23 535 44 12500 1451 135 23 536 54 12500 1451 136 23 537 55 12500 1451 137 23 538 49 12500 1451 138 23 539 57 12500 1451 139 23 540 59 12500 1451 140 23 541 72 12500 1451 141 23 542 72 12500 1451 142 23 543 65 12500 1451 143 27 502 50 12500 1451 144 27 504 41 12500 1451 145 27 505 60 12500 1451 146 27 506 85 12500 1451 147 2500 1 0 148 2500 0 0 149 2.500000+4 5.446610+1 0 0 0 0250023501 150 0.000000+0 0.000000+0 0 0 1 1237250023501 151 1237 2 0 0 0 0250023501 152 1.000000+1 7.428970+4 1.004170+1 6.736160+4 1.009050+1 5.925390+4250023501 153 1.017420+1 4.815070+4 1.022710+1 4.263020+4 1.027760+1 3.736010+4250023501 154 1.036890+1 2.992190+4 1.039170+1 2.849220+4 1.048720+1 2.250350+4250023501 155 1.058290+1 1.791470+4 1.065480+1 1.514470+4 1.066370+1 1.480180+4250023501 156 1.075430+1 1.196740+4 1.085230+1 9.530000+3 1.097110+1 7.251130+3250023501 157 1.107170+1 5.792700+3 1.108930+1 5.598250+3 1.118430+1 4.548650+3250023501 158 1.125120+1 3.981750+3 1.131100+1 3.475010+3 1.135630+1 3.186560+3250023501 159 1.144330+1 2.632600+3 1.145520+1 2.573230+3 1.153430+1 2.178650+3250023501 160 1.154780+1 2.124430+3 1.155500+1 2.095510+3 1.164450+1 1.736070+3250023501 161 1.168710+1 1.602440+3 1.172000+1 1.499220+3 1.172000+1 1.767240+6250023501 162 1.173240+1 1.768700+6 1.176480+1 1.772540+6 1.182490+1 1.779720+6250023501 163 1.183000+1 1.780330+6 1.185000+1 1.782760+6 1.185000+1 2.948170+6250023501 164 1.188980+1 2.955110+6 1.195000+1 2.965690+6 1.205480+1 2.984280+6250023501 165 1.206680+1 2.986420+6 1.215000+1 3.001260+6 1.227080+1 3.022950+6250023501 166 1.244420+1 3.054340+6 1.262770+1 3.087900+6 1.276880+1 3.113960+6250023501 167 1.302840+1 3.162530+6 1.333420+1 3.220600+6 1.346660+1 3.246190+6250023501 168 1.347360+1 3.247870+6 1.385010+1 3.338260+6 1.407860+1 3.393680+6250023501 169 1.500000+1 3.617120+6 1.611290+1 3.986880+6 1.614120+1 3.996290+6250023501 170 1.688590+1 4.241660+6 1.689630+1 4.245090+6 1.730830+1 4.380360+6250023501 171 1.822530+1 4.677550+6 1.962340+1 5.124580+6 1.988080+1 5.206880+6250023501 172 2.000000+1 5.244990+6 2.192430+1 5.855280+6 2.213360+1 5.921660+6250023501 173 2.309400+1 6.224060+6 2.331840+1 6.294710+6 2.449490+1 6.609350+6250023501 174 2.576840+1 6.905990+6 2.773720+1 7.359880+6 3.000000+1 7.881550+6250023501 175 3.255960+1 8.128920+6 3.464100+1 8.330080+6 3.682940+1 8.461230+6250023501 176 3.722420+1 8.465110+6 3.746230+1 8.467280+6 4.000000+1 8.490410+6250023501 177 4.354720+1 8.408610+6 4.485060+1 8.304440+6 4.644450+1 8.177050+6250023501 178 4.728710+1 8.109950+6 5.412340+1 7.434190+6 5.532700+1 7.315210+6250023501 179 5.794010+1 7.056910+6 5.936040+1 6.924600+6 5.997670+1 6.867190+6250023501 180 6.033930+1 6.833410+6 6.078000+1 6.792360+6 6.078000+1 7.736570+6250023501 181 6.139030+1 7.652060+6 6.209000+1 7.555170+6 6.209000+1 8.024150+6250023501 182 6.210720+1 8.021320+6 6.275630+1 7.914590+6 6.310140+1 7.857840+6250023501 183 6.334000+1 7.818610+6 6.349490+1 7.793170+6 6.592650+1 7.393900+6250023501 184 6.658680+1 7.289900+6 7.000000+1 6.784300+6 7.066430+1 6.700060+6250023501 185 7.237620+1 6.482980+6 7.437960+1 6.248900+6 7.483320+1 6.195900+6250023501 186 7.546350+1 6.126120+6 7.609270+1 6.063660+6 7.933510+1 5.769640+6250023501 187 8.000000+1 5.712640+6 8.338860+1 5.444960+6 8.423050+1 5.384330+6250023501 188 8.485280+1 5.341680+6 8.681760+1 5.214650+6 8.944270+1 5.044930+6250023501 189 9.060240+1 4.970290+6 9.060480+1 4.970150+6 9.104530+1 4.945180+6250023501 190 9.182150+1 4.901170+6 9.258000+1 4.858180+6 9.258000+1 5.231540+6250023501 191 9.329890+1 5.188750+6 9.412000+1 5.139880+6 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1.275180-1 7.370090+4 1.001720-1250027506 1866 7.747740+4 9.216680-2 9.089000+4 7.105800-2 9.774879+4 6.287690-2250027506 1867 1.051990+5 5.551630-2 1.127060+5 4.930060-2 1.219770+5 4.300670-2250027506 1868 1.316700+5 3.761600-2 1.471080+5 3.087110-2 1.604630+5 2.645230-2250027506 1869 1.822530+5 2.089040-2 1.936420+5 1.862870-2 2.117170+5 1.576220-2250027506 1870 2.379280+5 1.260880-2 2.752930+5 9.374930-3 2.924930+5 8.210400-3250027506 1871 3.109840+5 7.163880-3 3.311840+5 6.226050-3 3.542840+5 5.342870-3250027506 1872 3.899570+5 4.277010-3 4.134460+5 3.721400-3 4.589650+5 2.873550-3250027506 1873 5.052570+5 2.241780-3 5.504060+5 1.766220-3 5.841390+5 1.480430-3250027506 1874 6.501670+5 1.047230-3 7.160030+5 7.289370-4 7.798130+5 4.942440-4250027506 1875 8.486840+5 2.984450-4 9.101570+5 1.589580-4 1.000000+6 0.000000+0250027506 1876 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0250027506 1877 250027 0 1878 2500 0 0 1879 0 0 0 1880 2.600000+4 5.536730+1 -1 0 0 12600 1451 1 0.000000+0 0.000000+0 0 0 0 62600 1451 2 0.000000+0 0.000000+0 0 0 3 62600 1451 3 0.000000+0 0.000000+0 0 0 121 222600 1451 4 26-FE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2600 1451 6 ----ENDF/B-VI MATERIAL 2600 2600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2600 1451 8 ------ENDF-6 FORMAT 2600 1451 9 =================================================================2600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2600 1451 11 ENDF/B-VI FORMAT 2600 1451 12 =================================================================2600 1451 13 CONTENTS 2600 1451 14 =================================================================2600 1451 15 MF/MT DESCRIPTION 2600 1451 16 =================================================================2600 1451 17 23/501 TOTAL CROSS SECTION 2600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2600 1451 34 =================================================================2600 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2600 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2600 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2600 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2600 1451 39 =================================================================2600 1451 40 WARNING 2600 1451 41 =================================================================2600 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2600 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2600 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2600 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2600 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2600 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2600 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2600 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2600 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2600 1451 51 =================================================================2600 1451 52 DEFINITION OF NEW TYPES OF DATA 2600 1451 53 =================================================================2600 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2600 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2600 1451 56 2600 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2600 1451 58 C2 FIELDS ARE, 2600 1451 59 2600 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2600 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2600 1451 62 2600 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2600 1451 64 2600 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2600 1451 66 2600 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2600 1451 68 T = THE THOMSON CROSS SECTION 2600 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2600 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2600 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2600 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2600 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2600 1451 74 2600 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2600 1451 76 2600 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2600 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2600 1451 79 =================================================================2600 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2600 1451 81 =================================================================2600 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2600 1451 83 HERE - 10 EV TO 100 MEV 2600 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2600 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2600 1451 86 HERE - PHOTON INTERACTION 2600 1451 87 - AVERAGE FLUORESCENCE YIELD 2600 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2600 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2600 1451 90 HERE - NO SECONDARY ENERGY DATA 2600 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2600 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2600 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2600 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2600 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2600 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2600 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2600 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2600 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2600 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2600 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2600 1451 102 =================================================================2600 1451 103 REFERENCES 2600 1451 104 =================================================================2600 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2600 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2600 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2600 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2600 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2600 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2600 1451 111 2600 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2600 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2600 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2600 1451 115 OF THE DATA, ETC. 2600 1451 116 =================================================================2600 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2600 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2600 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2600 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2600 1451 121 *RECONSTRUCTED MT NUMBERS 2600 1451 122 516 =+(515,515)+(517,517) 2600 1451 123 522 =+(534,572) 2600 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2600 1451 125 1 451 147 12600 1451 126 23 501 396 12600 1451 127 23 502 68 12600 1451 128 23 504 25 12600 1451 129 23 515 17 12600 1451 130 23 516 38 12600 1451 131 23 517 25 12600 1451 132 23 522 294 12600 1451 133 23 534 37 12600 1451 134 23 535 44 12600 1451 135 23 536 54 12600 1451 136 23 537 53 12600 1451 137 23 538 48 12600 1451 138 23 539 58 12600 1451 139 23 540 58 12600 1451 140 23 541 71 12600 1451 141 23 542 71 12600 1451 142 23 543 65 12600 1451 143 27 502 51 12600 1451 144 27 504 44 12600 1451 145 27 505 65 12600 1451 146 27 506 88 12600 1451 147 2600 1 0 148 2600 0 0 149 2.600000+4 5.536730+1 0 0 0 0260023501 150 0.000000+0 0.000000+0 0 0 1 1177260023501 151 1177 2 0 0 0 0260023501 152 1.000000+1 1.711660+5 1.007770+1 1.352440+5 1.011430+1 1.217220+5260023501 153 1.014320+1 1.110440+5 1.018240+1 9.936970+4 1.021670+1 8.915470+4260023501 154 1.029600+1 7.046640+4 1.036790+1 5.702120+4 1.039530+1 5.290370+4260023501 155 1.044030+1 4.614140+4 1.049270+1 4.000540+4 1.050470+1 3.860020+4260023501 156 1.060200+1 2.953520+4 1.070020+1 2.259900+4 1.075070+1 2.004200+4260023501 157 1.080140+1 1.747490+4 1.088890+1 1.401830+4 1.093290+1 1.255550+4260023501 158 1.101910+1 1.033490+4 1.103630+1 9.891821+3 1.114070+1 7.793260+3260023501 159 1.127610+1 5.924160+3 1.141320+1 4.503360+3 1.151660+1 3.814200+3260023501 160 1.154780+1 3.606260+3 1.157990+1 3.392310+3 1.163600+1 3.086620+3260023501 161 1.182590+1 2.361200+3 1.204100+1 1.856440+3 1.209480+1 1.785360+3260023501 162 1.227580+1 1.546230+3 1.229080+1 1.536760+3 1.241940+1 1.455660+3260023501 163 1.249100+1 1.410530+3 1.252880+1 1.406440+3 1.264780+1 1.393610+3260023501 164 1.270450+1 1.387490+3 1.271000+1 1.386900+3 1.274000+1 1.397720+3260023501 165 1.274000+1 1.912440+6 1.279470+1 1.912230+6 1.284390+1 1.912100+6260023501 166 1.288000+1 1.912000+6 1.291000+1 1.911980+6 1.291000+1 3.174460+6260023501 167 1.298890+1 3.176010+6 1.299000+1 3.176030+6 1.312480+1 3.178910+6260023501 168 1.314390+1 3.179340+6 1.317000+1 3.179930+6 1.327750+1 3.190090+6260023501 169 1.333520+1 3.195640+6 1.345450+1 3.207120+6 1.359290+1 3.220640+6260023501 170 1.383910+1 3.245150+6 1.409870+1 3.271530+6 1.438480+1 3.301160+6260023501 171 1.451990+1 3.315370+6 1.472670+1 3.349930+6 1.500000+1 3.396160+6260023501 172 1.502380+1 3.401880+6 1.541000+1 3.494700+6 1.598130+1 3.632720+6260023501 173 1.613130+1 3.668960+6 1.669410+1 3.804920+6 1.725630+1 3.939100+6260023501 174 1.732050+1 3.954190+6 1.775000+1 4.087010+6 1.819010+1 4.223100+6260023501 175 1.859550+1 4.346360+6 2.000000+1 4.773420+6 2.035420+1 4.880310+6260023501 176 2.201310+1 5.380920+6 2.213360+1 5.417280+6 2.285590+1 5.634010+6260023501 177 2.449490+1 6.125810+6 2.498250+1 6.258560+6 2.576840+1 6.472520+6260023501 178 2.593700+1 6.518010+6 2.851740+1 7.214260+6 3.000000+1 7.562810+6260023501 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7.155580+3-6.796210+0260027506 1816 7.192070+3-6.055190+0 7.209460+3-5.703050+0 7.276870+3-4.788340+0260027506 1817 7.335850+3-4.239910+0 7.442540+3-3.556130+0 7.593880+3-2.878220+0260027506 1818 7.760911+3-2.366650+0 8.000000+3-1.820540+0 8.115520+3-1.604940+0260027506 1819 8.248981+3-1.404920+0 8.566270+3-9.956480-1 8.730510+3-8.154310-1260027506 1820 8.928460+3-6.465470-1 9.335960+3-3.372950-1 9.556560+3-1.937490-1260027506 1821 9.666861+3-1.336240-1 1.000000+4-1.084510-5 1.016800+4 6.778870-2260027506 1822 1.036340+4 1.407960-1 1.050990+4 1.836470-1 1.060260+4 1.982230-1260027506 1823 1.101400+4 2.993970-1 1.115660+4 3.289050-1 1.130580+4 3.453350-1260027506 1824 1.200480+4 4.541040-1 1.223530+4 4.669980-1 1.285200+4 5.316780-1260027506 1825 1.382290+4 5.785700-1 1.444910+4 5.906070-1 1.525960+4 6.233440-1260027506 1826 1.688750+4 6.194590-1 1.946580+4 5.836820-1 2.803000+4 4.287590-1260027506 1827 3.207740+4 3.671310-1 3.885800+4 2.885280-1 4.519070+4 2.368280-1260027506 1828 5.221370+4 1.924870-1 5.700820+4 1.697900-1 6.336480+4 1.443870-1260027506 1829 7.370090+4 1.143240-1 7.752060+4 1.053100-1 8.505129+4 9.092540-2260027506 1830 9.774879+4 7.214580-2 1.051990+5 6.376370-2 1.127060+5 5.666480-2260027506 1831 1.218350+5 4.956750-2 1.316510+5 4.332860-2 1.471080+5 3.559010-2260027506 1832 1.604630+5 3.052820-2 1.822530+5 2.414280-2 1.935160+5 2.157250-2260027506 1833 2.112330+5 1.831360-2 2.376880+5 1.461440-2 2.580890+5 1.246430-2260027506 1834 2.731000+5 1.112860-2 3.109840+5 8.459740-3 3.311840+5 7.350460-3260027506 1835 3.542840+5 6.300970-3 3.841410+5 5.228020-3 4.129180+5 4.402640-3260027506 1836 4.415680+5 3.733270-3 4.869200+5 2.911190-3 5.115260+5 2.560520-3260027506 1837 5.502370+5 2.081770-3 6.000000+5 1.607890-3 6.623670+5 1.156830-3260027506 1838 7.085680+5 8.966920-4 7.682820+5 6.277960-4 8.239580+5 4.285060-4260027506 1839 9.197270+5 1.650720-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0260027506 1840 260027 0 1841 2600 0 0 1842 0 0 0 1843 2.700000+4 5.842700+1 -1 0 0 12700 1451 1 0.000000+0 0.000000+0 0 0 0 62700 1451 2 0.000000+0 0.000000+0 0 0 3 62700 1451 3 0.000000+0 0.000000+0 0 0 121 222700 1451 4 27-CO- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2700 1451 6 ----ENDF/B-VI MATERIAL 2700 2700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2700 1451 8 ------ENDF-6 FORMAT 2700 1451 9 =================================================================2700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2700 1451 11 ENDF/B-VI FORMAT 2700 1451 12 =================================================================2700 1451 13 CONTENTS 2700 1451 14 =================================================================2700 1451 15 MF/MT DESCRIPTION 2700 1451 16 =================================================================2700 1451 17 23/501 TOTAL CROSS SECTION 2700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2700 1451 34 =================================================================2700 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2700 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2700 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2700 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2700 1451 39 =================================================================2700 1451 40 WARNING 2700 1451 41 =================================================================2700 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2700 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2700 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2700 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2700 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2700 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2700 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2700 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2700 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2700 1451 51 =================================================================2700 1451 52 DEFINITION OF NEW TYPES OF DATA 2700 1451 53 =================================================================2700 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2700 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2700 1451 56 2700 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2700 1451 58 C2 FIELDS ARE, 2700 1451 59 2700 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2700 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2700 1451 62 2700 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2700 1451 64 2700 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2700 1451 66 2700 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2700 1451 68 T = THE THOMSON CROSS SECTION 2700 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2700 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2700 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2700 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2700 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2700 1451 74 2700 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2700 1451 76 2700 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2700 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2700 1451 79 =================================================================2700 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2700 1451 81 =================================================================2700 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2700 1451 83 HERE - 10 EV TO 100 MEV 2700 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2700 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2700 1451 86 HERE - PHOTON INTERACTION 2700 1451 87 - AVERAGE FLUORESCENCE YIELD 2700 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2700 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2700 1451 90 HERE - NO SECONDARY ENERGY DATA 2700 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2700 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2700 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2700 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2700 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2700 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2700 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2700 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2700 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2700 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2700 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2700 1451 102 =================================================================2700 1451 103 REFERENCES 2700 1451 104 =================================================================2700 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2700 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2700 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2700 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2700 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2700 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2700 1451 111 2700 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2700 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2700 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2700 1451 115 OF THE DATA, ETC. 2700 1451 116 =================================================================2700 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2700 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2700 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2700 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2700 1451 121 *RECONSTRUCTED MT NUMBERS 2700 1451 122 516 =+(515,515)+(517,517) 2700 1451 123 522 =+(534,572) 2700 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2700 1451 125 1 451 147 12700 1451 126 23 501 426 12700 1451 127 23 502 73 12700 1451 128 23 504 25 12700 1451 129 23 515 17 12700 1451 130 23 516 38 12700 1451 131 23 517 25 12700 1451 132 23 522 318 12700 1451 133 23 534 37 12700 1451 134 23 535 43 12700 1451 135 23 536 53 12700 1451 136 23 537 53 12700 1451 137 23 538 48 12700 1451 138 23 539 57 12700 1451 139 23 540 57 12700 1451 140 23 541 71 12700 1451 141 23 542 71 12700 1451 142 23 543 67 12700 1451 143 27 502 51 12700 1451 144 27 504 43 12700 1451 145 27 505 67 12700 1451 146 27 506 89 12700 1451 147 2700 1 0 148 2700 0 0 149 2.700000+4 5.842700+1 0 0 0 0270023501 150 0.000000+0 0.000000+0 0 0 1 1267270023501 151 1267 2 0 0 0 0270023501 152 1.000000+1 3.187910+5 1.002670+1 2.963120+5 1.007080+1 2.591830+5270023501 153 1.007870+1 2.539560+5 1.011790+1 2.280210+5 1.016060+1 1.997690+5270023501 154 1.017690+1 1.913460+5 1.023630+1 1.606530+5 1.028560+1 1.405750+5270023501 155 1.032130+1 1.260350+5 1.033510+1 1.217020+5 1.037410+1 1.094560+5270023501 156 1.041320+1 9.717810+4 1.042490+1 9.433360+4 1.045400+1 8.725879+4270023501 157 1.048920+1 7.870100+4 1.049660+1 7.690190+4 1.050680+1 7.495350+4270023501 158 1.054360+1 6.792400+4 1.058060+1 6.085630+4 1.066610+1 4.869080+4270023501 159 1.073070+1 4.119110+4 1.080390+1 3.434280+4 1.082840+1 3.205070+4270023501 160 1.090220+1 2.672210+4 1.092690+1 2.493860+4 1.097990+1 2.210890+4270023501 161 1.100420+1 2.081150+4 1.107820+1 1.768050+4 1.112110+1 1.586540+4270023501 162 1.121010+1 1.302390+4 1.123920+1 1.209480+4 1.136110+1 9.403111+3270023501 163 1.146180+1 7.662810+3 1.146670+1 7.578130+3 1.151980+1 6.803110+3270023501 164 1.164470+1 5.433040+3 1.171430+1 4.830100+3 1.177100+1 4.338910+3270023501 165 1.193880+1 3.347020+3 1.198590+1 3.115780+3 1.199530+1 3.069630+3270023501 166 1.219510+1 2.361680+3 1.229830+1 2.129230+3 1.239060+1 1.921340+3270023501 167 1.244140+1 1.836530+3 1.253010+1 1.688450+3 1.260430+1 1.589450+3270023501 168 1.286740+1 1.366350+3 1.294930+1 1.334080+3 1.306830+1 1.287200+3270023501 169 1.311110+1 1.282680+3 1.322100+1 1.271110+3 1.333160+1 1.293090+3270023501 170 1.343310+1 1.313280+3 1.345350+1 1.317340+3 1.354050+1 1.370910+3270023501 171 1.366380+1 1.446870+3 1.369000+1 1.463000+3 1.372000+1 1.495510+3270023501 172 1.372000+1 2.043000+6 1.379150+1 2.041960+6 1.379460+1 2.041920+6270023501 173 1.389450+1 2.040570+6 1.390000+1 2.040490+6 1.393000+1 2.040130+6270023501 174 1.393000+1 3.391040+6 1.396250+1 3.390000+6 1.399000+1 3.389120+6270023501 175 1.399110+1 3.389080+6 1.409960+1 3.385720+6 1.418950+1 3.383040+6270023501 176 1.425810+1 3.380990+6 1.447670+1 3.374800+6 1.462310+1 3.370890+6270023501 177 1.462430+1 3.370860+6 1.484860+1 3.365200+6 1.491440+1 3.363700+6270023501 178 1.500000+1 3.361750+6 1.519940+1 3.377270+6 1.568390+1 3.416720+6270023501 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1.936420+5 1.284670-2 2.112330+5 1.080500-2 2.388830+5 8.474660-3270027505 1802 2.580890+5 7.258830-3 2.731000+5 6.488190-3 2.924930+5 5.670140-3270027505 1803 3.109840+5 5.052650-3 3.311840+5 4.507230-3 3.563570+5 3.948220-3270027505 1804 3.841410+5 3.444410-3 4.113140+5 3.044030-3 4.422580+5 2.676170-3270027505 1805 4.879040+5 2.289430-3 5.502370+5 1.890240-3 6.000000+5 1.651640-3270027505 1806 6.623670+5 1.443680-3 7.682820+5 1.183050-3 8.312670+5 1.074540-3270027505 1807 9.101570+5 9.710640-4 9.281240+5 9.321520-4 1.000000+6 0.000000+0270027505 1808 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0270027505 1809 270027 0 1810 2.700000+4 5.842700+1 0 0 0 0270027506 1811 0.000000+0 2.700000+1 0 0 1 257270027506 1812 257 2 0 0 0 0270027506 1813 1.000000+1-2.693340+1 1.002670+1-2.691390+1 1.023630+1-2.687420+1270027506 1814 1.033510+1-2.690360+1 1.041320+1-2.693450+1 1.050680+1-2.697320+1270027506 1815 1.058060+1-2.700500+1 1.066610+1-2.704060+1 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1.356480+1-2.794680+1 1.358360+1-2.796420+1 1.360760+1-2.798620+1270027506 1829 1.363390+1-2.800980+1 1.366380+1-2.803420+1 1.371330+1-2.805650+1270027506 1830 1.375650+1-2.807810+1 1.379150+1-2.809340+1 1.385240+1-2.809470+1270027506 1831 1.389450+1-2.808330+1 1.396250+1-2.805860+1 1.399110+1-2.805940+1270027506 1832 1.403950+1-2.804690+1 1.409710+1-2.802870+1 1.418950+1-2.800080+1270027506 1833 1.491440+1-2.797230+1 1.568390+1-2.797400+1 1.665210+1-2.801320+1270027506 1834 1.861480+1-2.814800+1 2.445230+1-2.843970+1 2.576840+1-2.849140+1270027506 1835 3.402370+1-2.836450+1 3.968480+1-2.806450+1 4.862460+1-2.737040+1270027506 1836 6.000000+1-2.651140+1 6.737800+1-2.623300+1 7.094820+1-2.656480+1270027506 1837 7.155500+1-2.682900+1 7.212730+1-2.698850+1 7.282360+1-2.688970+1270027506 1838 7.370650+1-2.657860+1 7.471830+1-2.617870+1 7.554660+1-2.577830+1270027506 1839 7.939760+1-2.474840+1 8.738850+1-2.390650+1 9.190050+1-2.366290+1270027506 1840 1.062790+2-2.339300+1 1.083240+2-2.365500+1 1.092380+2-2.383230+1270027506 1841 1.104450+2-2.371030+1 1.116230+2-2.335220+1 1.187090+2-2.239400+1270027506 1842 1.500000+2-2.014780+1 1.777150+2-1.853100+1 2.017000+2-1.731280+1270027506 1843 2.425870+2-1.579560+1 2.978610+2-1.433590+1 3.473060+2-1.351390+1270027506 1844 4.340330+2-1.279210+1 5.233180+2-1.279280+1 5.936440+2-1.335090+1270027506 1845 6.390420+2-1.401540+1 6.914370+2-1.531460+1 7.277430+2-1.683000+1270027506 1846 7.418120+2-1.767510+1 7.631630+2-1.969510+1 7.737130+2-2.136040+1270027506 1847 7.780480+2-2.240130+1 7.807980+2-2.324470+1 7.828780+2-2.396910+1270027506 1848 7.847140+2-2.464320+1 7.862390+2-2.520680+1 7.876900+2-2.571470+1270027506 1849 7.893360+2-2.622760+1 7.929380+2-2.696290+1 7.963840+2-2.723290+1270027506 1850 8.004170+2-2.704300+1 8.043950+2-2.651680+1 8.080750+2-2.583530+1270027506 1851 8.143660+2-2.445510+1 8.194970+2-2.315980+1 8.245460+2-2.171310+1270027506 1852 8.332290+2-1.955230+1 8.424680+2-1.789480+1 8.548360+2-1.630740+1270027506 1853 8.665430+2-1.522490+1 8.872050+2-1.390140+1 9.019800+2-1.342020+1270027506 1854 9.125080+2-1.353690+1 9.201050+2-1.360390+1 9.264740+2-1.328850+1270027506 1855 9.334050+2-1.252050+1 9.394590+2-1.183120+1 9.486720+2-1.103680+1270027506 1856 9.650819+2-1.001020+1 9.751610+2-9.473290+0 1.007550+3-8.150740+0270027506 1857 1.037940+3-7.149670+0 1.064240+3-6.466560+0 1.112970+3-5.389380+0270027506 1858 1.149560+3-4.746530+0 1.218730+3-3.764480+0 1.241430+3-3.513030+0270027506 1859 1.314410+3-2.774290+0 1.367750+3-2.342620+0 1.471050+3-1.774180+0270027506 1860 1.568570+3-1.398680+0 1.722790+3-1.010160+0 1.873960+3-7.772510-1270027506 1861 2.019660+3-6.548310-1 2.088550+3-6.176450-1 2.201550+3-5.881700-1270027506 1862 2.340300+3-5.724850-1 2.631750+3-5.923890-1 2.893820+3-6.529030-1270027506 1863 3.109840+3-7.330280-1 3.254010+3-7.849370-1 3.390920+3-8.524840-1270027506 1864 3.693770+3-9.870420-1 4.029480+3-1.128470+0 4.305820+3-1.234330+0270027506 1865 4.636330+3-1.399360+0 4.914520+3-1.533360+0 5.149850+3-1.657510+0270027506 1866 5.438680+3-1.825540+0 5.626090+3-1.928980+0 5.851470+3-2.087980+0270027506 1867 6.062930+3-2.234860+0 6.390570+3-2.523230+0 6.636290+3-2.796930+0270027506 1868 7.004880+3-3.376240+0 7.189181+3-3.822450+0 7.390140+3-4.603760+0270027506 1869 7.463280+3-5.073620+0 7.506190+3-5.466760+0 7.528971+3-5.737150+0270027506 1870 7.547181+3-5.991500+0 7.561210+3-6.212970+0 7.568560+3-6.337220+0270027506 1871 7.575460+3-6.458780+0 7.585020+3-6.631080+0 7.593800+3-6.794150+0270027506 1872 7.604320+3-6.989190+0 7.617770+3-7.227580+0 7.632520+3-7.462300+0270027506 1873 7.649080+3-7.669150+0 7.677980+3-7.802070+0 7.706870+3-7.636470+0270027506 1874 7.739320+3-7.165870+0 7.760110+3-6.739120+0 7.800090+3-5.979860+0270027506 1875 7.819150+3-5.612770+0 7.856080+3-5.085780+0 7.925310+3-4.440570+0270027506 1876 8.046480+3-3.686260+0 8.228220+3-2.928830+0 8.409970+3-2.397670+0270027506 1877 8.678241+3-1.819960+0 8.820401+3-1.578130+0 8.953560+3-1.393920+0270027506 1878 9.297290+3-9.867790-1 9.463420+3-8.188130-1 9.638260+3-6.781750-1270027506 1879 1.009650+4-3.575550-1 1.029890+4-2.344550-1 1.040940+4-1.777220-1270027506 1880 1.084090+4-1.029410-2 1.100770+4 5.500260-2 1.125170+4 1.416230-1270027506 1881 1.137360+4 1.765120-1 1.143460+4 1.902230-1 1.156830+4 2.064990-1270027506 1882 1.215010+4 3.398540-1 1.237690+4 3.844700-1 1.259670+4 4.100990-1270027506 1883 1.264730+4 4.112320-1 1.326480+4 4.814100-1 1.354120+4 4.941190-1270027506 1884 1.424420+4 5.538660-1 1.465600+4 5.640490-1 1.558740+4 6.164280-1270027506 1885 1.725170+4 6.274800-1 2.139400+4 5.763470-1 3.207740+4 4.026060-1270027506 1886 3.823460+4 3.277810-1 4.406640+4 2.732760-1 5.128780+4 2.219300-1270027506 1887 5.853100+4 1.832220-1 6.680640+4 1.501700-1 7.522690+4 1.247890-1270027506 1888 8.243990+4 1.085130-1 8.959879+4 9.486580-2 1.025670+5 7.577940-2270027506 1889 1.103740+5 6.699630-2 1.180810+5 5.968560-2 1.283370+5 5.178050-2270027506 1890 1.374000+5 4.595470-2 1.471080+5 4.072040-2 1.604630+5 3.494810-2270027506 1891 1.822530+5 2.767810-2 1.936420+5 2.471250-2 2.211170+5 1.926570-2270027506 1892 2.388830+5 1.664220-2 2.580890+5 1.433100-2 2.731000+5 1.279810-2270027506 1893 2.924930+5 1.114100-2 3.311840+5 8.509360-3 3.563570+5 7.206080-3270027506 1894 3.841410+5 6.050870-3 4.113140+5 5.141950-3 4.422580+5 4.306600-3270027506 1895 4.879040+5 3.351970-3 5.115260+5 2.963510-3 5.502370+5 2.409540-3270027506 1896 6.000000+5 1.860770-3 6.623670+5 1.338960-3 7.279540+5 9.285510-4270027506 1897 7.682820+5 7.267290-4 8.312670+5 4.682970-4 9.281240+5 1.687910-4270027506 1898 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0270027506 1899 270027 0 1900 2700 0 0 1901 0 0 0 1902 2.800000+4 5.820570+1 -1 0 0 12800 1451 1 0.000000+0 0.000000+0 0 0 0 62800 1451 2 0.000000+0 0.000000+0 0 0 3 62800 1451 3 0.000000+0 0.000000+0 0 0 121 222800 1451 4 28-NI- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2800 1451 6 ----ENDF/B-VI MATERIAL 2800 2800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2800 1451 8 ------ENDF-6 FORMAT 2800 1451 9 =================================================================2800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2800 1451 11 ENDF/B-VI FORMAT 2800 1451 12 =================================================================2800 1451 13 CONTENTS 2800 1451 14 =================================================================2800 1451 15 MF/MT DESCRIPTION 2800 1451 16 =================================================================2800 1451 17 23/501 TOTAL CROSS SECTION 2800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2800 1451 34 =================================================================2800 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2800 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2800 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2800 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2800 1451 39 =================================================================2800 1451 40 WARNING 2800 1451 41 =================================================================2800 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2800 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2800 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2800 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2800 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2800 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2800 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2800 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2800 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2800 1451 51 =================================================================2800 1451 52 DEFINITION OF NEW TYPES OF DATA 2800 1451 53 =================================================================2800 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2800 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2800 1451 56 2800 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2800 1451 58 C2 FIELDS ARE, 2800 1451 59 2800 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2800 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2800 1451 62 2800 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2800 1451 64 2800 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2800 1451 66 2800 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2800 1451 68 T = THE THOMSON CROSS SECTION 2800 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2800 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2800 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2800 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2800 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2800 1451 74 2800 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2800 1451 76 2800 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2800 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2800 1451 79 =================================================================2800 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2800 1451 81 =================================================================2800 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2800 1451 83 HERE - 10 EV TO 100 MEV 2800 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2800 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2800 1451 86 HERE - PHOTON INTERACTION 2800 1451 87 - AVERAGE FLUORESCENCE YIELD 2800 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2800 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2800 1451 90 HERE - NO SECONDARY ENERGY DATA 2800 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2800 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2800 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2800 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2800 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2800 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2800 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2800 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2800 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2800 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2800 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2800 1451 102 =================================================================2800 1451 103 REFERENCES 2800 1451 104 =================================================================2800 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2800 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2800 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2800 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2800 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2800 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2800 1451 111 2800 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2800 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2800 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2800 1451 115 OF THE DATA, ETC. 2800 1451 116 =================================================================2800 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2800 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2800 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2800 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2800 1451 121 *RECONSTRUCTED MT NUMBERS 2800 1451 122 516 =+(515,515)+(517,517) 2800 1451 123 522 =+(534,572) 2800 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2800 1451 125 1 451 147 12800 1451 126 23 501 410 12800 1451 127 23 502 77 12800 1451 128 23 504 25 12800 1451 129 23 515 17 12800 1451 130 23 516 38 12800 1451 131 23 517 25 12800 1451 132 23 522 297 12800 1451 133 23 534 36 12800 1451 134 23 535 43 12800 1451 135 23 536 51 12800 1451 136 23 537 52 12800 1451 137 23 538 47 12800 1451 138 23 539 56 12800 1451 139 23 540 57 12800 1451 140 23 541 71 12800 1451 141 23 542 70 12800 1451 142 23 543 66 12800 1451 143 27 502 53 12800 1451 144 27 504 46 12800 1451 145 27 505 68 12800 1451 146 27 506 90 12800 1451 147 2800 1 0 148 2800 0 0 149 2.800000+4 5.820570+1 0 0 0 0280023501 150 0.000000+0 0.000000+0 0 0 1 1219280023501 151 1219 2 0 0 0 0280023501 152 1.000000+1 5.257380+5 1.008580+1 4.260630+5 1.012510+1 3.903710+5280023501 153 1.019480+1 3.270700+5 1.020970+1 3.165770+5 1.028700+1 2.621390+5280023501 154 1.030990+1 2.494710+5 1.039050+1 2.048810+5 1.040520+1 1.986230+5280023501 155 1.046640+1 1.725670+5 1.049850+1 1.589000+5 1.057260+1 1.349420+5280023501 156 1.061750+1 1.204250+5 1.066250+1 1.091330+5 1.070760+1 9.781560+4280023501 157 1.073370+1 9.285940+4 1.078620+1 8.289010+4 1.081250+1 7.789590+4280023501 158 1.086370+1 7.001000+4 1.089190+1 6.566660+4 1.093930+1 5.981450+4280023501 159 1.098780+1 5.382660+4 1.101210+1 5.082650+4 1.104240+1 4.796200+4280023501 160 1.108790+1 4.366050+4 1.113360+1 3.934010+4 1.116630+1 3.712970+4280023501 161 1.119090+1 3.546690+4 1.122790+1 3.296580+4 1.126500+1 3.045800+4280023501 162 1.131090+1 2.811270+4 1.135690+1 2.576240+4 1.141020+1 2.303900+4280023501 163 1.145940+1 2.109420+4 1.150780+1 1.918090+4 1.152030+1 1.868680+4280023501 164 1.155650+1 1.765880+4 1.160680+1 1.623040+4 1.165010+1 1.500080+4280023501 165 1.167180+1 1.438460+4 1.173290+1 1.304180+4 1.178550+1 1.188580+4280023501 166 1.180330+1 1.149460+4 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4.207940-1 3.812490+4 3.592070-1280027506 1853 4.718340+4 2.757470-1 5.465880+4 2.253120-1 6.291120+4 1.835440-1280027506 1854 7.149520+4 1.515250-1 7.562810+4 1.388390-1 8.959879+4 1.069030-1280027506 1855 1.025670+5 8.557390-2 1.099690+5 7.618060-2 1.180810+5 6.753140-2280027506 1856 1.281990+5 5.875080-2 1.378390+5 5.181730-2 1.471080+5 4.619470-2280027506 1857 1.695460+5 3.588520-2 1.822530+5 3.146830-2 1.940060+5 2.802240-2280027506 1858 2.112330+5 2.393180-2 2.379280+5 1.910100-2 2.580890+5 1.634560-2280027506 1859 2.731000+5 1.460230-2 2.924930+5 1.272170-2 3.118950+5 1.113500-2280027506 1860 3.542840+5 8.416340-3 3.899520+5 6.737120-3 4.129000+5 5.879090-3280027506 1861 4.423040+5 4.968170-3 4.598630+5 4.505940-3 5.052570+5 3.530970-3280027506 1862 5.477230+5 2.817810-3 5.841390+5 2.331690-3 6.500640+5 1.650630-3280027506 1863 7.159520+5 1.148340-3 7.798130+5 7.784570-4 8.486910+5 4.699970-4280027506 1864 9.101570+5 2.503990-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0280027506 1865 280027 0 1866 2800 0 0 1867 0 0 0 1868 2.900000+4 6.300010+1 -1 0 0 12900 1451 1 0.000000+0 0.000000+0 0 0 0 62900 1451 2 0.000000+0 0.000000+0 0 0 3 62900 1451 3 0.000000+0 0.000000+0 0 0 121 222900 1451 4 29-CU- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 2900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 2900 1451 6 ----ENDF/B-VI MATERIAL 2900 2900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2900 1451 8 ------ENDF-6 FORMAT 2900 1451 9 =================================================================2900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 2900 1451 11 ENDF/B-VI FORMAT 2900 1451 12 =================================================================2900 1451 13 CONTENTS 2900 1451 14 =================================================================2900 1451 15 MF/MT DESCRIPTION 2900 1451 16 =================================================================2900 1451 17 23/501 TOTAL CROSS SECTION 2900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 2900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 2900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 2900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 2900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 2900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 2900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 2900 1451 34 =================================================================2900 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 2900 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 2900 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 2900 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 2900 1451 39 =================================================================2900 1451 40 WARNING 2900 1451 41 =================================================================2900 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 2900 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 2900 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 2900 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 2900 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 2900 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 2900 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 2900 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 2900 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 2900 1451 51 =================================================================2900 1451 52 DEFINITION OF NEW TYPES OF DATA 2900 1451 53 =================================================================2900 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 2900 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 2900 1451 56 2900 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 2900 1451 58 C2 FIELDS ARE, 2900 1451 59 2900 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 2900 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 2900 1451 62 2900 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 2900 1451 64 2900 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2900 1451 66 2900 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 2900 1451 68 T = THE THOMSON CROSS SECTION 2900 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 2900 1451 70 FF(M) = THE ATOMIC FORM FACTOR 2900 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 2900 1451 72 F1(E) = THE REAL SCATTERING FACTOR 2900 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 2900 1451 74 2900 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 2900 1451 76 2900 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 2900 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 2900 1451 79 =================================================================2900 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 2900 1451 81 =================================================================2900 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 2900 1451 83 HERE - 10 EV TO 100 MEV 2900 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION2900 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 2900 1451 86 HERE - PHOTON INTERACTION 2900 1451 87 - AVERAGE FLUORESCENCE YIELD 2900 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 2900 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)2900 1451 90 HERE - NO SECONDARY ENERGY DATA 2900 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 2900 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 2900 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 2900 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 2900 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2900 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 2900 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 2900 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 2900 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 2900 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 2900 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 2900 1451 102 =================================================================2900 1451 103 REFERENCES 2900 1451 104 =================================================================2900 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 2900 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 2900 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 2900 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),2900 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 2900 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 2900 1451 111 2900 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 2900 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 2900 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 2900 1451 115 OF THE DATA, ETC. 2900 1451 116 =================================================================2900 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************2900 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 2900 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 2900 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************2900 1451 121 *RECONSTRUCTED MT NUMBERS 2900 1451 122 516 =+(515,515)+(517,517) 2900 1451 123 522 =+(534,572) 2900 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 2900 1451 125 1 451 147 12900 1451 126 23 501 367 12900 1451 127 23 502 64 12900 1451 128 23 504 25 12900 1451 129 23 515 17 12900 1451 130 23 516 38 12900 1451 131 23 517 25 12900 1451 132 23 522 266 12900 1451 133 23 534 36 12900 1451 134 23 535 43 12900 1451 135 23 536 51 12900 1451 136 23 537 51 12900 1451 137 23 538 47 12900 1451 138 23 539 57 12900 1451 139 23 540 57 12900 1451 140 23 541 68 12900 1451 141 23 542 68 12900 1451 142 23 543 63 12900 1451 143 27 502 52 12900 1451 144 27 504 44 12900 1451 145 27 505 49 12900 1451 146 27 506 74 12900 1451 147 2900 1 0 148 2900 0 0 149 2.900000+4 6.300010+1 0 0 0 0290023501 150 0.000000+0 0.000000+0 0 0 1 1090290023501 151 1090 2 0 0 0 0290023501 152 1.000000+1 3.026190+6 1.009000+1 3.030260+6 1.009000+1 4.900720+6290023501 153 1.013410+1 4.906980+6 1.025070+1 4.923520+6 1.030000+1 4.930520+6290023501 154 1.053600+1 4.967190+6 1.071680+1 4.995280+6 1.079580+1 5.009220+6290023501 155 1.105440+1 5.054870+6 1.108420+1 5.060640+6 1.129460+1 5.101400+6290023501 156 1.148410+1 5.140250+6 1.148940+1 5.141390+6 1.154780+1 5.153940+6290023501 157 1.165730+1 5.177490+6 1.183320+1 5.216620+6 1.200990+1 5.256860+6290023501 158 1.204780+1 5.265650+6 1.214410+1 5.288000+6 1.234830+1 5.336120+6290023501 159 1.255590+1 5.385750+6 1.280250+1 5.445540+6 1.289800+1 5.468870+6290023501 160 1.301780+1 5.498130+6 1.312680+1 5.524870+6 1.334750+1 5.579290+6290023501 161 1.357200+1 5.634800+6 1.391570+1 5.720130+6 1.407860+1 5.760690+6290023501 162 1.429360+1 5.814220+6 1.444440+1 5.851840+6 1.464260+1 5.901290+6290023501 163 1.500000+1 5.990580+6 1.538200+1 6.086130+6 1.572430+1 6.171850+6290023501 164 1.616560+1 6.282500+6 1.623030+1 6.298750+6 1.654450+1 6.377650+6290023501 165 1.688590+1 6.463590+6 1.700820+1 6.494370+6 1.716560+1 6.534040+6290023501 166 1.756160+1 6.634170+6 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1.479690+3-3.235860+0 1.513970+3-2.976260+0 1.611850+3-2.279730+0290027506 1692 1.657550+3-2.005690+0 1.707150+3-1.799660+0 1.775390+3-1.546300+0290027506 1693 1.846890+3-1.344010+0 1.947600+3-1.106910+0 2.013340+3-9.820450-1290027506 1694 2.074200+3-8.862760-1 2.169610+3-7.681340-1 2.279530+3-6.501850-1290027506 1695 2.361820+3-6.028880-1 2.468740+3-5.527830-1 2.561070+3-5.354290-1290027506 1696 2.698430+3-5.246490-1 2.754080+3-5.265660-1 2.889820+3-5.456140-1290027506 1697 3.054730+3-5.703360-1 3.115010+3-5.906250-1 3.311840+3-6.343560-1290027506 1698 3.408650+3-6.593390-1 3.747650+3-7.523180-1 3.869780+3-8.029290-1290027506 1699 4.199000+3-9.214680-1 4.293780+3-9.628280-1 4.604070+3-1.075370+0290027506 1700 5.020360+3-1.227130+0 5.438680+3-1.411140+0 5.872140+3-1.587890+0290027506 1701 6.312460+3-1.806140+0 6.599190+3-1.952750+0 7.132650+3-2.289630+0290027506 1702 7.440780+3-2.525050+0 7.752161+3-2.832650+0 8.156210+3-3.379090+0290027506 1703 8.370840+3-3.821840+0 8.604880+3-4.597790+0 8.690040+3-5.064570+0290027506 1704 8.740010+3-5.454660+0 8.764060+3-5.695350+0 8.780210+3-5.881370+0290027506 1705 8.794941+3-6.069850+0 8.804060+3-6.194780+0 8.812621+3-6.317890+0290027506 1706 8.820661+3-6.438350+0 8.831790+3-6.609090+0 8.842020+3-6.770680+0290027506 1707 8.854270+3-6.964000+0 8.869920+3-7.200360+0 8.887100+3-7.433250+0290027506 1708 8.906380+3-7.638840+0 8.939930+3-7.772240+0 8.973481+3-7.612480+0290027506 1709 9.011140+3-7.153060+0 9.035281+3-6.734850+0 9.081701+3-5.989310+0290027506 1710 9.103831+3-5.628250+0 9.170090+3-4.898080+0 9.297781+3-4.067800+0290027506 1711 9.403031+3-3.586600+0 9.599020+3-2.926770+0 9.878621+3-2.252940+0290027506 1712 1.016400+4-1.765270+0 1.056130+4-1.256010+0 1.076000+4-1.044860+0290027506 1713 1.095870+4-8.713960-1 1.135090+4-5.791930-1 1.154700+4-4.512730-1290027506 1714 1.218270+4-1.470920-1 1.251230+4-1.383690-2 1.273620+4 4.748320-2290027506 1715 1.302460+4 1.274270-1 1.309170+4 1.421090-1 1.323380+4 1.624270-1290027506 1716 1.379650+4 2.878310-1 1.407650+4 3.438940-1 1.433940+4 3.792200-1290027506 1717 1.452370+4 3.937460-1 1.499070+4 4.550750-1 1.538460+4 4.979740-1290027506 1718 1.640080+4 5.586520-1 1.771420+4 6.070840-1 1.954080+4 6.244350-1290027506 1719 2.286410+4 6.016370-1 2.976450+4 5.070450-1 3.783340+4 3.950380-1290027506 1720 4.600450+4 3.113010-1 5.343600+4 2.569100-1 6.128940+4 2.120120-1290027506 1721 7.021270+4 1.738630-1 7.886970+4 1.454480-1 9.212500+4 1.142110-1290027506 1722 1.044270+5 9.307570-2 1.143200+5 8.030560-2 1.229020+5 7.105560-2290027506 1723 1.312290+5 6.350320-2 1.416550+5 5.570900-2 1.582250+5 4.588120-2290027506 1724 1.822530+5 3.564840-2 2.051330+5 2.860490-2 2.227270+5 2.454480-2290027506 1725 2.398340+5 2.133600-2 2.582390+5 1.851140-2 2.752930+5 1.631480-2290027506 1726 2.935720+5 1.433500-2 3.311840+5 1.114260-2 3.597000+5 9.351950-3290027506 1727 3.899760+5 7.721280-3 4.129180+5 6.737990-3 4.415460+5 5.717570-3290027506 1728 4.598630+5 5.164800-3 5.052570+5 4.047230-3 5.477230+5 3.229820-3290027506 1729 5.841390+5 2.672590-3 6.500650+5 1.891970-3 7.159530+5 1.316240-3290027506 1730 7.798130+5 8.922690-4 8.486910+5 5.387030-4 9.101570+5 2.870060-4290027506 1731 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0290027506 1732 290027 0 1733 2900 0 0 1734 0 0 0 1735 3.000000+4 6.481840+1 -1 0 0 13000 1451 1 0.000000+0 0.000000+0 0 0 0 63000 1451 2 0.000000+0 0.000000+0 0 0 3 63000 1451 3 0.000000+0 0.000000+0 0 0 121 223000 1451 4 30-ZN- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3000 1451 6 ----ENDF/B-VI MATERIAL 3000 3000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3000 1451 8 ------ENDF-6 FORMAT 3000 1451 9 =================================================================3000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3000 1451 11 ENDF/B-VI FORMAT 3000 1451 12 =================================================================3000 1451 13 CONTENTS 3000 1451 14 =================================================================3000 1451 15 MF/MT DESCRIPTION 3000 1451 16 =================================================================3000 1451 17 23/501 TOTAL CROSS SECTION 3000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3000 1451 34 =================================================================3000 1451 35 27/502 COHERENT SCATTERING FORM FACTORS 3000 1451 36 27/504 INCOHERENT SCATTERING FUNCTIONS 3000 1451 37 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3000 1451 38 27/506 COHERENT REAL SCATTERING FACTOR 3000 1451 39 =================================================================3000 1451 40 WARNING 3000 1451 41 =================================================================3000 1451 42 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3000 1451 43 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3000 1451 44 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3000 1451 45 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3000 1451 46 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3000 1451 47 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3000 1451 48 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3000 1451 49 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3000 1451 50 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3000 1451 51 =================================================================3000 1451 52 DEFINITION OF NEW TYPES OF DATA 3000 1451 53 =================================================================3000 1451 54 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3000 1451 55 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3000 1451 56 3000 1451 57 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3000 1451 58 C2 FIELDS ARE, 3000 1451 59 3000 1451 60 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3000 1451 61 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3000 1451 62 3000 1451 63 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3000 1451 64 3000 1451 65 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3000 1451 66 3000 1451 67 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3000 1451 68 T = THE THOMSON CROSS SECTION 3000 1451 69 MU = THE COSINE OF THE SCATTERING ANGLE 3000 1451 70 FF(M) = THE ATOMIC FORM FACTOR 3000 1451 71 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3000 1451 72 F1(E) = THE REAL SCATTERING FACTOR 3000 1451 73 F2(E) = THE IMAGINARY SCATTERING FACTOR 3000 1451 74 3000 1451 75 F1(E) AND F2(E) ARE ISOTROPIC. 3000 1451 76 3000 1451 77 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3000 1451 78 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3000 1451 79 =================================================================3000 1451 80 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3000 1451 81 =================================================================3000 1451 82 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3000 1451 83 HERE - 10 EV TO 100 MEV 3000 1451 84 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3000 1451 85 - FLUORESCENCE AND ELECTRON SPECTRA 3000 1451 86 HERE - PHOTON INTERACTION 3000 1451 87 - AVERAGE FLUORESCENCE YIELD 3000 1451 88 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3000 1451 89 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3000 1451 90 HERE - NO SECONDARY ENERGY DATA 3000 1451 91 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3000 1451 92 INTERPOLABLE - SUMMATION CROSS SECTIONS 3000 1451 93 (E.G., TOTAL) ARE NOT INCLUDED 3000 1451 94 - FORM FACTORS ARE LOG X VS. LOG Y 3000 1451 95 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3000 1451 96 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3000 1451 97 ORDER TO ALLOW CROSS SECTIONS DEFINED 3000 1451 98 BY SUMMATION (E.G., TOTAL) TO BE 3000 1451 99 CONSISTENTLY DEFINED AT ALL ENERGIES. 3000 1451 100 - FORM FACTORS ARE LOG X VS. LOG Y 3000 1451 101 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3000 1451 102 =================================================================3000 1451 103 REFERENCES 3000 1451 104 =================================================================3000 1451 105 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3000 1451 106 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3000 1451 107 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3000 1451 108 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3000 1451 109 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3000 1451 110 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3000 1451 111 3000 1451 112 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3000 1451 113 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3000 1451 114 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3000 1451 115 OF THE DATA, ETC. 3000 1451 116 =================================================================3000 1451 117 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3000 1451 118 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3000 1451 119 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3000 1451 120 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3000 1451 121 *RECONSTRUCTED MT NUMBERS 3000 1451 122 516 =+(515,515)+(517,517) 3000 1451 123 522 =+(534,572) 3000 1451 124 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3000 1451 125 1 451 147 13000 1451 126 23 501 396 13000 1451 127 23 502 77 13000 1451 128 23 504 24 13000 1451 129 23 515 17 13000 1451 130 23 516 38 13000 1451 131 23 517 25 13000 1451 132 23 522 285 13000 1451 133 23 534 36 13000 1451 134 23 535 42 13000 1451 135 23 536 50 13000 1451 136 23 537 51 13000 1451 137 23 538 48 13000 1451 138 23 539 55 13000 1451 139 23 540 56 13000 1451 140 23 541 68 13000 1451 141 23 542 69 13000 1451 142 23 543 64 13000 1451 143 27 502 52 13000 1451 144 27 504 45 13000 1451 145 27 505 62 13000 1451 146 27 506 84 13000 1451 147 3000 1 0 148 3000 0 0 149 3.000000+4 6.481840+1 0 0 0 0300023501 150 0.000000+0 0.000000+0 0 0 1 1178300023501 151 1178 2 0 0 0 0300023501 152 1.000000+1 1.152180+6 1.058890+1 9.797300+5 1.121240+1 7.971450+5300023501 153 1.151060+1 7.011360+5 1.197290+1 5.522940+5 1.218810+1 4.830080+5300023501 154 1.245370+1 3.974950+5 1.279370+1 3.053900+5 1.288390+1 2.809560+5300023501 155 1.290910+1 2.752830+5 1.311350+1 2.292690+5 1.324240+1 2.002510+5300023501 156 1.347140+1 1.581110+5 1.348240+1 1.560870+5 1.366070+1 1.266190+5300023501 157 1.366330+1 1.261890+5 1.383370+1 1.040430+5 1.394600+1 8.944810+4300023501 158 1.394860+1 8.918010+4 1.405370+1 7.834829+4 1.414670+1 6.876360+4300023501 159 1.419910+1 6.440020+4 1.427800+1 5.783010+4 1.434000+1 5.266720+4300023501 160 1.439920+1 4.868530+4 1.446220+1 4.444770+4 1.452550+1 4.018990+4300023501 161 1.457230+1 3.768980+4 1.462070+1 3.510420+4 1.465380+1 3.333600+4300023501 162 1.469360+1 3.120980+4 1.471350+1 3.014670+4 1.473780+1 2.909720+4300023501 163 1.478040+1 2.725740+4 1.482450+1 2.535280+4 1.485610+1 2.398800+4300023501 164 1.487280+1 2.343070+4 1.490910+1 2.221930+4 1.497210+1 2.011700+4300023501 165 1.502620+1 1.831160+4 1.505340+1 1.740390+4 1.509540+1 1.629640+4300023501 166 1.513890+1 1.514920+4 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1.038220+3-2.640430+1 1.043020+3-2.596500+1 1.051740+3-2.465740+1300027506 1767 1.058220+3-2.322130+1 1.061540+3-2.251070+1 1.072330+3-2.040340+1300027506 1768 1.086880+3-1.857300+1 1.111950+3-1.649970+1 1.139590+3-1.501870+1300027506 1769 1.156630+3-1.443670+1 1.171000+3-1.444380+1 1.179520+3-1.451860+1300027506 1770 1.184750+3-1.438230+1 1.190480+3-1.398590+1 1.199760+3-1.302400+1300027506 1771 1.206740+3-1.234650+1 1.215700+3-1.163790+1 1.238870+3-1.028580+1300027506 1772 1.269140+3-9.004820+0 1.306030+3-7.848370+0 1.360530+3-6.499220+0300027506 1773 1.394460+3-5.831970+0 1.451110+3-4.934830+0 1.510070+3-4.187630+0300027506 1774 1.554920+3-3.756990+0 1.604630+3-3.363610+0 1.675950+3-2.775090+0300027506 1775 1.709640+3-2.550070+0 1.755300+3-2.292460+0 1.826720+3-1.885370+0300027506 1776 1.848770+3-1.783920+0 2.000000+3-1.243740+0 2.086490+3-1.056350+0300027506 1777 2.158870+3-9.280260-1 2.213360+3-8.536140-1 2.337460+3-7.121830-1300027506 1778 2.408450+3-6.507990-1 2.582970+3-5.675500-1 2.676670+3-5.257340-1300027506 1779 2.734280+3-5.094200-1 2.951410+3-4.759010-1 3.000000+3-4.792210-1300027506 1780 3.219360+3-5.164220-1 3.429530+3-5.433780-1 3.536880+3-5.648800-1300027506 1781 3.648820+3-5.992140-1 3.981220+3-6.852230-1 4.361090+3-8.184960-1300027506 1782 4.572820+3-9.035630-1 4.914520+3-1.019540+0 5.440610+3-1.211170+0300027506 1783 5.851470+3-1.377750+0 6.317860+3-1.552860+0 6.943790+3-1.846440+0300027506 1784 7.303960+3-2.043040+0 7.686060+3-2.273650+0 8.066000+3-2.554740+0300027506 1785 8.313710+3-2.777720+0 8.775611+3-3.365790+0 9.006560+3-3.813530+0300027506 1786 9.258380+3-4.598430+0 9.350010+3-5.070750+0 9.403770+3-5.465800+0300027506 1787 9.429651+3-5.709580+0 9.447031+3-5.898020+0 9.462880+3-6.089080+0300027506 1788 9.472701+3-6.215750+0 9.481911+3-6.340580+0 9.490550+3-6.462730+0300027506 1789 9.502531+3-6.635860+0 9.513531+3-6.799700+0 9.526720+3-6.995700+0300027506 1790 9.543560+3-7.235250+0 9.562040+3-7.471210+0 9.582790+3-7.679220+0300027506 1791 9.619741+3-7.814270+0 9.656701+3-7.639160+0 9.698191+3-7.150910+0300027506 1792 9.724781+3-6.714310+0 9.775911+3-5.949500+0 9.824661+3-5.317550+0300027506 1793 9.888401+3-4.726570+0 1.000790+4-4.003610+0 1.011250+4-3.543630+0300027506 1794 1.029550+4-2.934200+0 1.057010+4-2.277430+0 1.084460+4-1.821320+0300027506 1795 1.124990+4-1.322890+0 1.145900+4-1.108600+0 1.167140+4-9.331050-1300027506 1796 1.208930+4-6.317670-1 1.230630+4-4.938240-1 1.252340+4-3.827760-1300027506 1797 1.295840+4-1.840140-1 1.317600+4-9.388070-2 1.339510+4-2.117920-2300027506 1798 1.380290+4 9.106150-2 1.410220+4 1.460580-1 1.467200+4 2.752210-1300027506 1799 1.492130+4 3.238730-1 1.510380+4 3.521590-1 1.531370+4 3.652790-1300027506 1800 1.628060+4 4.805290-1 1.643200+4 4.928530-1 1.681370+4 5.059060-1300027506 1801 1.754720+4 5.547010-1 1.908630+4 6.026350-1 2.259530+4 6.243030-1300027506 1802 2.388720+4 6.209030-1 3.783340+4 4.289880-1 4.718340+4 3.328690-1300027506 1803 5.525120+4 2.709990-1 6.291120+4 2.256790-1 7.073860+4 1.901880-1300027506 1804 8.320560+4 1.498370-1 9.597690+4 1.202120-1 1.099690+5 9.655970-2300027506 1805 1.180760+5 8.576740-2 1.281990+5 7.475390-2 1.376470+5 6.618810-2300027506 1806 1.482080+5 5.827350-2 1.695460+5 4.593660-2 1.917580+5 3.668030-2300027506 1807 2.112330+5 3.076580-2 2.379280+5 2.459590-2 2.582390+5 2.105180-2300027506 1808 2.752930+5 1.855970-2 3.109840+5 1.447100-2 3.311840+5 1.268080-2300027506 1809 3.597000+5 1.064510-2 3.899520+5 8.790450-3 4.129000+5 7.670590-3300027506 1810 4.415460+5 6.508100-3 4.598630+5 5.878870-3 5.052570+5 4.606750-3300027506 1811 5.477230+5 3.676340-3 5.841390+5 3.042100-3 6.500640+5 2.153580-3300027506 1812 7.159520+5 1.498230-3 7.798130+5 1.015650-3 8.486910+5 6.132190-4300027506 1813 9.101570+5 3.266970-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0300027506 1814 300027 0 1815 3000 0 0 1816 0 0 0 1817 3.100000+4 6.912110+1 -1 0 0 13100 1451 1 0.000000+0 0.000000+0 0 0 0 63100 1451 2 0.000000+0 0.000000+0 0 0 3 63100 1451 3 0.000000+0 0.000000+0 0 0 123 243100 1451 4 31-GA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3100 1451 6 ----ENDF/B-VI MATERIAL 3100 3100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3100 1451 8 ------ENDF-6 FORMAT 3100 1451 9 =================================================================3100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3100 1451 11 ENDF/B-VI FORMAT 3100 1451 12 =================================================================3100 1451 13 CONTENTS 3100 1451 14 =================================================================3100 1451 15 MF/MT DESCRIPTION 3100 1451 16 =================================================================3100 1451 17 23/501 TOTAL CROSS SECTION 3100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3100 1451 36 =================================================================3100 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 3100 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 3100 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3100 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 3100 1451 41 =================================================================3100 1451 42 WARNING 3100 1451 43 =================================================================3100 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3100 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3100 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3100 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3100 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3100 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3100 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3100 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3100 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3100 1451 53 =================================================================3100 1451 54 DEFINITION OF NEW TYPES OF DATA 3100 1451 55 =================================================================3100 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3100 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3100 1451 58 3100 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3100 1451 60 C2 FIELDS ARE, 3100 1451 61 3100 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3100 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3100 1451 64 3100 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3100 1451 66 3100 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3100 1451 68 3100 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3100 1451 70 T = THE THOMSON CROSS SECTION 3100 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 3100 1451 72 FF(M) = THE ATOMIC FORM FACTOR 3100 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3100 1451 74 F1(E) = THE REAL SCATTERING FACTOR 3100 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 3100 1451 76 3100 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 3100 1451 78 3100 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3100 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3100 1451 81 =================================================================3100 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3100 1451 83 =================================================================3100 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3100 1451 85 HERE - 10 EV TO 100 MEV 3100 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3100 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 3100 1451 88 HERE - PHOTON INTERACTION 3100 1451 89 - AVERAGE FLUORESCENCE YIELD 3100 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3100 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3100 1451 92 HERE - NO SECONDARY ENERGY DATA 3100 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3100 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 3100 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 3100 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 3100 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3100 1451 98 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3100 1451 99 ORDER TO ALLOW CROSS SECTIONS DEFINED 3100 1451 100 BY SUMMATION (E.G., TOTAL) TO BE 3100 1451 101 CONSISTENTLY DEFINED AT ALL ENERGIES. 3100 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 3100 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3100 1451 104 =================================================================3100 1451 105 REFERENCES 3100 1451 106 =================================================================3100 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3100 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3100 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3100 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3100 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3100 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3100 1451 113 3100 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3100 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3100 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3100 1451 117 OF THE DATA, ETC. 3100 1451 118 =================================================================3100 1451 119 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3100 1451 120 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3100 1451 121 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3100 1451 122 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3100 1451 123 *RECONSTRUCTED MT NUMBERS 3100 1451 124 516 =+(515,515)+(517,517) 3100 1451 125 522 =+(534,572) 3100 1451 126 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3100 1451 127 1 451 151 13100 1451 128 23 501 393 13100 1451 129 23 502 75 13100 1451 130 23 504 25 13100 1451 131 23 515 17 13100 1451 132 23 516 38 13100 1451 133 23 517 25 13100 1451 134 23 522 285 13100 1451 135 23 534 35 13100 1451 136 23 535 42 13100 1451 137 23 536 50 13100 1451 138 23 537 51 13100 1451 139 23 538 46 13100 1451 140 23 539 54 13100 1451 141 23 540 55 13100 1451 142 23 541 69 13100 1451 143 23 542 69 13100 1451 144 23 543 64 13100 1451 145 23 544 63 13100 1451 146 23 545 65 13100 1451 147 27 502 51 13100 1451 148 27 504 44 13100 1451 149 27 505 57 13100 1451 150 27 506 84 13100 1451 151 3100 1 0 152 3100 0 0 153 3.100000+4 6.912110+1 0 0 0 0310023501 154 0.000000+0 0.000000+0 0 0 1 1170310023501 155 1170 2 0 0 0 0310023501 156 1.000000+1 4.003030+6 1.060560+1 3.454740+6 1.092250+1 3.167830+6310023501 157 1.124780+1 2.954430+6 1.144350+1 2.826050+6 1.148920+1 2.796070+6310023501 158 1.152400+1 2.773240+6 1.154780+1 2.757630+6 1.155220+1 2.754740+6310023501 159 1.158060+1 2.736110+6 1.161640+1 2.712630+6 1.168610+1 2.666910+6310023501 160 1.169000+1 2.664350+6 1.169000+1 3.943280+6 1.172580+1 3.893020+6310023501 161 1.175210+1 3.856100+6 1.179690+1 3.793200+6 1.185920+1 3.705740+6310023501 162 1.193000+1 3.606340+6 1.194320+1 3.589560+6 1.194530+1 3.587200+6310023501 163 1.233320+1 3.152480+6 1.242620+1 3.061500+6 1.273600+1 2.758440+6310023501 164 1.290700+1 2.602810+6 1.311360+1 2.441240+6 1.313570+1 2.426000+6310023501 165 1.350240+1 2.173100+6 1.361870+1 2.097260+6 1.386220+1 1.951600+6310023501 166 1.406440+1 1.843460+6 1.407860+1 1.836380+6 1.413030+1 1.810620+6310023501 167 1.432540+1 1.713410+6 1.452470+1 1.619770+6 1.456280+1 1.603370+6310023501 168 1.485280+1 1.487930+6 1.489870+1 1.470790+6 1.527210+1 1.331370+6310023501 169 1.541010+1 1.283120+6 1.551430+1 1.249010+6 1.554920+1 1.238230+6310023501 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1.241300+3-1.523420+1 1.264850+3-1.456110+1310027506 1887 1.277870+3-1.457990+1 1.288230+3-1.449540+1 1.297440+3-1.400770+1310027506 1888 1.304710+3-1.333630+1 1.318410+3-1.210570+1 1.331050+3-1.130650+1310027506 1889 1.351840+3-1.025150+1 1.381900+3-9.054660+0 1.421200+3-7.917460+0310027506 1890 1.475130+3-6.680110+0 1.526290+3-5.745940+0 1.595560+3-4.720050+0310027506 1891 1.697730+3-3.651260+0 1.738830+3-3.318580+0 1.840790+3-2.633990+0310027506 1892 1.867220+3-2.505990+0 1.920700+3-2.235210+0 2.000000+3-1.817410+0310027506 1893 2.049750+3-1.605390+0 2.199390+3-1.192660+0 2.327940+3-9.737650-1310027506 1894 2.388200+3-8.901960-1 2.498350+3-7.483290-1 2.588830+3-6.571440-1310027506 1895 2.713780+3-5.788050-1 2.814510+3-5.198400-1 2.866630+3-4.943060-1310027506 1896 3.011630+3-4.618710-1 3.232510+3-4.431310-1 3.311840+3-4.416530-1310027506 1897 3.341050+3-4.432550-1 3.572570+3-4.970060-1 3.678280+3-5.233020-1310027506 1898 3.973910+3-5.811660-1 4.082480+3-6.115460-1 4.344640+3-6.670190-1310027506 1899 4.757810+3-8.097340-1 4.971840+3-8.823570-1 5.342820+3-1.011770+0310027506 1900 5.582270+3-1.096700+0 5.851470+3-1.190070+0 6.390471+3-1.394940+0310027506 1901 6.782880+3-1.534800+0 7.335260+3-1.771430+0 7.636820+3-1.908300+0310027506 1902 8.178931+3-2.198990+0 8.675481+3-2.546730+0 8.945510+3-2.779730+0310027506 1903 9.440000+3-3.378100+0 9.669790+3-3.793790+0 9.940180+3-4.580850+0310027506 1904 1.003860+4-5.054340+0 1.009630+4-5.450490+0 1.012410+4-5.695100+0310027506 1905 1.014270+4-5.884200+0 1.015970+4-6.075960+0 1.017030+4-6.203100+0310027506 1906 1.018020+4-6.328400+0 1.018940+4-6.450990+0 1.020230+4-6.624750+0310027506 1907 1.021410+4-6.789190+0 1.022830+4-6.985860+0 1.024640+4-7.226210+0310027506 1908 1.026620+4-7.462770+0 1.028850+4-7.670720+0 1.032930+4-7.805050+0310027506 1909 1.037020+4-7.614140+0 1.040810+4-7.184450+0 1.044440+4-6.650880+0310027506 1910 1.049030+4-5.987330+0 1.053410+4-5.423020+0 1.059830+4-4.821210+0310027506 1911 1.071890+4-4.095120+0 1.082430+4-3.634840+0 1.100880+4-3.025660+0310027506 1912 1.128560+4-2.367490+0 1.156420+4-1.903070+0 1.198300+4-1.383790+0310027506 1913 1.219330+4-1.168680+0 1.264700+4-8.189500-1 1.291480+4-6.636310-1310027506 1914 1.345190+4-3.896170-1 1.369360+4-2.794620-1 1.396130+4-1.884370-1310027506 1915 1.443160+4-4.985830-2 1.474120+4 4.222670-2 1.487120+4 7.336600-2310027506 1916 1.510590+4 1.099160-1 1.592700+4 2.870810-1 1.628250+4 3.544090-1310027506 1917 1.662860+4 4.011740-1 1.671160+4 4.037500-1 1.766090+4 4.960170-1310027506 1918 1.796740+4 5.055680-1 1.863200+4 5.537640-1 1.914460+4 5.805820-1310027506 1919 1.954190+4 5.817980-1 2.064400+4 6.217670-1 2.259530+4 6.288340-1310027506 1920 2.635360+4 6.078040-1 3.190350+4 5.444060-1 4.000000+4 4.368580-1310027506 1921 4.718340+4 3.619800-1 5.500640+4 2.998840-1 6.416630+4 2.436840-1310027506 1922 7.447229+4 1.967380-1 8.285810+4 1.674430-1 9.556479+4 1.346610-1310027506 1923 1.099690+5 1.079400-1 1.264530+5 8.567170-2 1.376470+5 7.436380-2310027506 1924 1.482090+5 6.549510-2 1.602890+5 5.721080-2 1.836210+5 4.492190-2310027506 1925 2.051330+5 3.657620-2 2.211170+5 3.183060-2 2.395550+5 2.741400-2310027506 1926 2.580890+5 2.378680-2 2.903370+5 1.881720-2 3.109840+5 1.635870-2310027506 1927 3.311840+5 1.434070-2 3.542840+5 1.243250-2 3.899760+5 1.010450-2310027506 1928 4.129180+5 8.817620-3 4.410200+5 7.503730-3 4.642720+5 6.612130-3310027506 1929 5.031510+5 5.349150-3 5.477230+5 4.226220-3 5.841390+5 3.497400-3310027506 1930 6.501170+5 2.474510-3 7.162500+5 1.719760-3 7.798130+5 1.167240-3310027506 1931 8.486910+5 7.047660-4 9.101570+5 3.754100-4 1.000000+6 0.000000+0310027506 1932 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0310027506 1933 310027 0 1934 3100 0 0 1935 0 0 0 1936 3.200000+4 7.196650+1 -1 0 0 13200 1451 1 0.000000+0 0.000000+0 0 0 0 63200 1451 2 0.000000+0 0.000000+0 0 0 3 63200 1451 3 0.000000+0 0.000000+0 0 0 123 243200 1451 4 32-GE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3200 1451 6 ----ENDF/B-VI MATERIAL 3200 3200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3200 1451 8 ------ENDF-6 FORMAT 3200 1451 9 =================================================================3200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3200 1451 11 ENDF/B-VI FORMAT 3200 1451 12 =================================================================3200 1451 13 CONTENTS 3200 1451 14 =================================================================3200 1451 15 MF/MT DESCRIPTION 3200 1451 16 =================================================================3200 1451 17 23/501 TOTAL CROSS SECTION 3200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3200 1451 36 =================================================================3200 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 3200 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 3200 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3200 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 3200 1451 41 =================================================================3200 1451 42 WARNING 3200 1451 43 =================================================================3200 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3200 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3200 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3200 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3200 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3200 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3200 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3200 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3200 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3200 1451 53 =================================================================3200 1451 54 DEFINITION OF NEW TYPES OF DATA 3200 1451 55 =================================================================3200 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3200 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3200 1451 58 3200 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3200 1451 60 C2 FIELDS ARE, 3200 1451 61 3200 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3200 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3200 1451 64 3200 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3200 1451 66 3200 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3200 1451 68 3200 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3200 1451 70 T = THE THOMSON CROSS SECTION 3200 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 3200 1451 72 FF(M) = THE ATOMIC FORM FACTOR 3200 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3200 1451 74 F1(E) = THE REAL SCATTERING FACTOR 3200 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 3200 1451 76 3200 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 3200 1451 78 3200 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3200 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3200 1451 81 =================================================================3200 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3200 1451 83 =================================================================3200 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3200 1451 85 HERE - 10 EV TO 100 MEV 3200 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3200 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 3200 1451 88 HERE - PHOTON INTERACTION 3200 1451 89 - AVERAGE FLUORESCENCE YIELD 3200 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3200 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3200 1451 92 HERE - NO SECONDARY ENERGY DATA 3200 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3200 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 3200 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 3200 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 3200 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3200 1451 98 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3200 1451 99 ORDER TO ALLOW CROSS SECTIONS DEFINED 3200 1451 100 BY SUMMATION (E.G., TOTAL) TO BE 3200 1451 101 CONSISTENTLY DEFINED AT ALL ENERGIES. 3200 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 3200 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3200 1451 104 =================================================================3200 1451 105 REFERENCES 3200 1451 106 =================================================================3200 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3200 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3200 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3200 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3200 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3200 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3200 1451 113 3200 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3200 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3200 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3200 1451 117 OF THE DATA, ETC. 3200 1451 118 =================================================================3200 1451 119 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3200 1451 120 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3200 1451 121 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3200 1451 122 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3200 1451 123 *RECONSTRUCTED MT NUMBERS 3200 1451 124 516 =+(515,515)+(517,517) 3200 1451 125 522 =+(534,572) 3200 1451 126 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3200 1451 127 1 451 151 13200 1451 128 23 501 395 13200 1451 129 23 502 69 13200 1451 130 23 504 25 13200 1451 131 23 515 17 13200 1451 132 23 516 38 13200 1451 133 23 517 25 13200 1451 134 23 522 291 13200 1451 135 23 534 35 13200 1451 136 23 535 42 13200 1451 137 23 536 49 13200 1451 138 23 537 50 13200 1451 139 23 538 46 13200 1451 140 23 539 53 13200 1451 141 23 540 54 13200 1451 142 23 541 69 13200 1451 143 23 542 69 13200 1451 144 23 543 64 13200 1451 145 23 544 63 13200 1451 146 23 545 63 13200 1451 147 27 502 52 13200 1451 148 27 504 45 13200 1451 149 27 505 58 13200 1451 150 27 506 80 13200 1451 151 3200 1 0 152 3200 0 0 153 3.200000+4 7.196650+1 0 0 0 0320023501 154 0.000000+0 0.000000+0 0 0 1 1175320023501 155 1175 2 0 0 0 0320023501 156 1.000000+1 1.634850+7 1.062610+1 1.401320+7 1.088740+1 1.312050+7320023501 157 1.154780+1 1.126160+7 1.163950+1 1.100350+7 1.171040+1 1.082380+7320023501 158 1.228160+1 9.596270+6 1.274960+1 8.590520+6 1.281820+1 8.452290+6320023501 159 1.344150+1 7.419530+6 1.386130+1 6.723960+6 1.389860+1 6.668350+6320023501 160 1.420180+1 6.304030+6 1.427690+1 6.213800+6 1.462260+1 5.798410+6320023501 161 1.468690+1 5.721150+6 1.478000+1 5.609290+6 1.478000+1 6.059130+6320023501 162 1.485660+1 5.947020+6 1.493970+1 5.825390+6 1.503830+1 5.681070+6320023501 163 1.507000+1 5.634670+6 1.536660+1 5.255600+6 1.574570+1 4.785600+6320023501 164 1.592920+1 4.565920+6 1.607230+1 4.394600+6 1.617490+1 4.276150+6320023501 165 1.630830+1 4.158810+6 1.650710+1 3.987640+6 1.676060+1 3.776440+6320023501 166 1.688650+1 3.674300+6 1.697570+1 3.601950+6 1.707700+1 3.521410+6320023501 167 1.721860+1 3.408830+6 1.739930+1 3.267540+6 1.747270+1 3.223050+6320023501 168 1.764810+1 3.118260+6 1.786080+1 2.992500+6 1.805110+1 2.881110+6320023501 169 1.826000+1 2.759770+6 1.828680+1 2.744290+6 1.851390+1 2.640470+6320023501 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1.593780+3-6.766390+0 1.658600+3-5.611210+0320027506 1887 1.701190+3-5.029970+0 1.771670+3-4.218340+0 1.833210+3-3.609550+0320027506 1888 1.873560+3-3.318430+0 2.005280+3-2.458260+0 2.108330+3-1.966340+0320027506 1889 2.174680+3-1.717360+0 2.254720+3-1.453440+0 2.327830+3-1.245990+0320027506 1890 2.406230+3-1.105890+0 2.558350+3-8.753540-1 2.638790+3-7.800300-1320027506 1891 2.783680+3-6.453620-1 2.889820+3-5.775730-1 3.056200+3-4.929870-1320027506 1892 3.186160+3-4.391400-1 3.268900+3-4.260940-1 3.422590+3-4.160500-1320027506 1893 3.513240+3-4.155000-1 3.550980+3-4.192140-1 3.678280+3-4.454160-1320027506 1894 3.934300+3-4.767650-1 4.028580+3-4.986900-1 4.404460+3-5.922750-1320027506 1895 4.681480+3-6.558050-1 5.020360+3-7.628680-1 5.263490+3-8.399990-1320027506 1896 5.669070+3-9.713570-1 6.219690+3-1.148170+0 6.725750+3-1.334140+0320027506 1897 7.335260+3-1.545070+0 7.771391+3-1.723030+0 8.202220+3-1.900770+0320027506 1898 8.735201+3-2.168820+0 9.246991+3-2.497210+0 9.561691+3-2.744760+0320027506 1899 1.009300+4-3.335840+0 1.035870+4-3.786360+0 1.064830+4-4.573660+0320027506 1900 1.075370+4-5.047420+0 1.081560+4-5.444000+0 1.084530+4-5.688880+0320027506 1901 1.086530+4-5.878190+0 1.088350+4-6.070160+0 1.089480+4-6.197450+0320027506 1902 1.091540+4-6.445610+0 1.092910+4-6.619540+0 1.094180+4-6.784120+0320027506 1903 1.095700+4-6.980940+0 1.097630+4-7.221330+0 1.099760+4-7.457670+0320027506 1904 1.102140+4-7.663820+0 1.106970+4-7.795520+0 1.111800+4-7.540620+0320027506 1905 1.116270+4-7.018190+0 1.120550+4-6.417470+0 1.125970+4-5.722610+0320027506 1906 1.131140+4-5.171350+0 1.140830+4-4.461310+0 1.157790+4-3.672070+0320027506 1907 1.170500+4-3.243050+0 1.189580+4-2.742940+0 1.208650+4-2.366900+0320027506 1908 1.253750+4-1.703050+0 1.276300+4-1.444120+0 1.298850+4-1.240220+0320027506 1909 1.350900+4-8.495460-1 1.376930+4-6.836500-1 1.406120+4-5.426330-1320027506 1910 1.470970+4-2.607190-1 1.505470+4-1.288450-1 1.521970+4-7.476680-2320027506 1911 1.607320+4 1.352130-1 1.641490+4 2.147620-1 1.658580+4 2.479270-1320027506 1912 1.671390+4 2.671420-1 1.683570+4 2.777180-1 1.760290+4 3.924880-1320027506 1913 1.794340+4 4.299870-1 1.809610+4 4.355930-1 1.892960+4 5.067690-1320027506 1914 1.941190+4 5.231140-1 2.055390+4 5.865690-1 2.089030+4 5.896040-1320027506 1915 2.107570+4 5.890900-1 2.235110+4 6.251990-1 2.451390+4 6.275350-1320027506 1916 3.147520+4 5.804000-1 4.470550+4 4.164370-1 5.290050+4 3.442100-1320027506 1917 6.135290+4 2.843230-1 7.050160+4 2.343650-1 8.058260+4 1.925980-1320027506 1918 9.403360+4 1.528370-1 1.100340+5 1.199190-1 1.264020+5 9.554630-2320027506 1919 1.380270+5 8.259020-2 1.469820+5 7.411090-2 1.603000+5 6.393830-2320027506 1920 1.811730+5 5.142050-2 2.051330+5 4.096120-2 2.211170+5 3.566770-2320027506 1921 2.395550+5 3.073820-2 2.580890+5 2.668690-2 2.915270+5 2.096700-2320027506 1922 3.109840+5 1.837260-2 3.311840+5 1.611900-2 3.542840+5 1.396740-2320027506 1923 3.899760+5 1.136020-2 4.129180+5 9.948270-3 4.410200+5 8.468460-3320027506 1924 4.642720+5 7.460450-3 5.013840+5 6.088090-3 5.477230+5 4.769010-3320027506 1925 5.841390+5 3.948010-3 6.500650+5 2.794210-3 7.160180+5 1.943270-3320027506 1926 7.798130+5 1.317530-3 8.486900+5 7.964070-4 9.101570+5 4.241210-4320027506 1927 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0320027506 1928 320027 0 1929 3200 0 0 1930 0 0 0 1931 3.300000+4 7.427800+1 -1 0 0 13300 1451 1 0.000000+0 0.000000+0 0 0 0 63300 1451 2 0.000000+0 0.000000+0 0 0 3 63300 1451 3 0.000000+0 0.000000+0 0 0 123 243300 1451 4 33-AS- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3300 1451 6 ----ENDF/B-VI MATERIAL 3300 3300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3300 1451 8 ------ENDF-6 FORMAT 3300 1451 9 =================================================================3300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3300 1451 11 ENDF/B-VI FORMAT 3300 1451 12 =================================================================3300 1451 13 CONTENTS 3300 1451 14 =================================================================3300 1451 15 MF/MT DESCRIPTION 3300 1451 16 =================================================================3300 1451 17 23/501 TOTAL CROSS SECTION 3300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3300 1451 36 =================================================================3300 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 3300 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 3300 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3300 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 3300 1451 41 =================================================================3300 1451 42 WARNING 3300 1451 43 =================================================================3300 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3300 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3300 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3300 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3300 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3300 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3300 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3300 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3300 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3300 1451 53 =================================================================3300 1451 54 DEFINITION OF NEW TYPES OF DATA 3300 1451 55 =================================================================3300 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3300 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3300 1451 58 3300 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3300 1451 60 C2 FIELDS ARE, 3300 1451 61 3300 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3300 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3300 1451 64 3300 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3300 1451 66 3300 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3300 1451 68 3300 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3300 1451 70 T = THE THOMSON CROSS SECTION 3300 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 3300 1451 72 FF(M) = THE ATOMIC FORM FACTOR 3300 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3300 1451 74 F1(E) = THE REAL SCATTERING FACTOR 3300 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 3300 1451 76 3300 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 3300 1451 78 3300 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3300 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3300 1451 81 =================================================================3300 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3300 1451 83 =================================================================3300 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3300 1451 85 HERE - 10 EV TO 100 MEV 3300 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3300 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 3300 1451 88 HERE - PHOTON INTERACTION 3300 1451 89 - AVERAGE FLUORESCENCE YIELD 3300 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3300 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3300 1451 92 HERE - NO SECONDARY ENERGY DATA 3300 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3300 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 3300 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 3300 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 3300 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3300 1451 98 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3300 1451 99 ORDER TO ALLOW CROSS SECTIONS DEFINED 3300 1451 100 BY SUMMATION (E.G., TOTAL) TO BE 3300 1451 101 CONSISTENTLY DEFINED AT ALL ENERGIES. 3300 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 3300 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3300 1451 104 =================================================================3300 1451 105 REFERENCES 3300 1451 106 =================================================================3300 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3300 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3300 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3300 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3300 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3300 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3300 1451 113 3300 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3300 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3300 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3300 1451 117 OF THE DATA, ETC. 3300 1451 118 =================================================================3300 1451 119 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3300 1451 120 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3300 1451 121 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3300 1451 122 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3300 1451 123 *RECONSTRUCTED MT NUMBERS 3300 1451 124 516 =+(515,515)+(517,517) 3300 1451 125 522 =+(534,572) 3300 1451 126 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3300 1451 127 1 451 151 13300 1451 128 23 501 388 13300 1451 129 23 502 65 13300 1451 130 23 504 25 13300 1451 131 23 515 17 13300 1451 132 23 516 38 13300 1451 133 23 517 25 13300 1451 134 23 522 287 13300 1451 135 23 534 34 13300 1451 136 23 535 41 13300 1451 137 23 536 48 13300 1451 138 23 537 49 13300 1451 139 23 538 45 13300 1451 140 23 539 53 13300 1451 141 23 540 54 13300 1451 142 23 541 68 13300 1451 143 23 542 67 13300 1451 144 23 543 58 13300 1451 145 23 544 64 13300 1451 146 23 545 63 13300 1451 147 27 502 52 13300 1451 148 27 504 45 13300 1451 149 27 505 56 13300 1451 150 27 506 79 13300 1451 151 3300 1 0 152 3300 0 0 153 3.300000+4 7.427800+1 0 0 0 0330023501 154 0.000000+0 0.000000+0 0 0 1 1155330023501 155 1155 2 0 0 0 0330023501 156 1.000000+1 3.821040+7 1.106680+1 3.169370+7 1.119040+1 3.102170+7330023501 157 1.154780+1 2.895210+7 1.224740+1 2.490100+7 1.226240+1 2.481770+7330023501 158 1.321480+1 2.027860+7 1.326860+1 2.004250+7 1.407860+1 1.687660+7330023501 159 1.410780+1 1.676240+7 1.462470+1 1.509240+7 1.536910+1 1.280180+7330023501 160 1.566230+1 1.203810+7 1.633210+1 1.043430+7 1.671110+1 9.663700+6330023501 161 1.688590+1 9.342130+6 1.725020+1 8.671940+6 1.771310+1 7.957310+6330023501 162 1.783000+1 7.776830+6 1.786000+1 7.733580+6 1.786000+1 7.914260+6330023501 163 1.811440+1 7.512350+6 1.830760+1 7.212030+6 1.860130+1 6.761870+6330023501 164 1.864960+1 6.688850+6 1.888390+1 6.390050+6 1.889970+1 6.371730+6330023501 165 1.892260+1 6.345660+6 1.916900+1 6.065110+6 1.944210+1 5.756680+6330023501 166 1.985900+1 5.291340+6 1.988080+1 5.267100+6 2.000000+1 5.134590+6330023501 167 2.058260+1 4.620110+6 2.078050+1 4.446400+6 2.103980+1 4.219610+6330023501 168 2.117370+1 4.112750+6 2.124230+1 4.066930+6 2.183550+1 3.672630+6330023501 169 2.186390+1 3.653750+6 2.231110+1 3.357460+6 2.242480+1 3.294020+6330023501 170 2.268990+1 3.161870+6 2.309400+1 2.960890+6 2.365370+1 2.682530+6330023501 171 2.369200+1 2.665130+6 2.378530+1 2.622930+6 2.446500+1 2.370700+6330023501 172 2.460500+1 2.318750+6 2.510180+1 2.135990+6 2.515500+1 2.118270+6330023501 173 2.565320+1 1.979140+6 2.641790+1 1.767980+6 2.668810+1 1.705080+6330023501 174 2.703380+1 1.632460+6 2.773720+1 1.486170+6 2.782670+1 1.467550+6330023501 175 2.809690+1 1.415640+6 2.837220+1 1.372090+6 2.925730+1 1.233770+6330023501 176 2.926400+1 1.232820+6 2.958390+1 1.187520+6 2.958450+1 1.187450+6330023501 177 3.109840+1 1.011150+6 3.133270+1 9.868130+5 3.145790+1 9.763300+5330023501 178 3.255960+1 8.804230+5 3.311840+1 8.317780+5 3.324450+1 8.220300+5330023501 179 3.400950+1 7.750660+5 3.461270+1 7.368900+5 3.533890+1 6.909300+5330023501 180 3.546340+1 6.838290+5 3.596470+1 6.607040+5 3.693770+1 6.130460+5330023501 181 3.722420+1 6.002420+5 3.746230+1 5.917550+5 3.895200+1 5.386580+5330023501 182 3.897160+1 5.380350+5 3.906470+1 5.356120+5 4.000000+1 5.112730+5330023501 183 4.084560+1 4.873440+5 4.147740+1 4.713240+5 4.174760+1 4.644720+5330023501 184 4.303870+1 4.384420+5 4.412170+1 4.188990+5 4.472140+1 4.080770+5330023501 185 4.485060+1 4.064360+5 4.582630+1 3.940410+5 4.588700+1 3.933530+5330023501 186 4.602060+1 3.915440+5 4.728710+1 3.743950+5 4.801910+1 3.657300+5330023501 187 4.840750+1 3.619640+5 4.964700+1 3.499460+5 4.997810+1 3.467350+5330023501 188 5.025910+1 3.440110+5 5.055000+1 3.411910+5 5.055000+1 1.074330+6330023501 189 5.068070+1 1.071880+6 5.103560+1 1.065240+6 5.132000+1 1.060140+6330023501 190 5.132000+1 1.539940+6 5.156000+1 1.533920+6 5.192590+1 1.525780+6330023501 191 5.235000+1 1.516350+6 5.261200+1 1.517230+6 5.412340+1 1.522300+6330023501 192 5.486290+1 1.524770+6 5.631000+1 1.582280+6 5.652440+1 1.591000+6330023501 193 5.774200+1 1.641290+6 5.792450+1 1.655200+6 5.898570+1 1.736060+6330023501 194 6.000000+1 1.814480+6 6.049430+1 1.875010+6 6.235740+1 2.103160+6330023501 195 6.279290+1 2.164010+6 6.310140+1 2.207110+6 6.357060+1 2.272670+6330023501 196 6.418600+1 2.358870+6 6.430510+1 2.378120+6 6.606830+1 2.663090+6330023501 197 6.735370+1 2.890920+6 6.800570+1 3.007150+6 7.000000+1 3.387650+6330023501 198 7.092790+1 3.564880+6 7.310580+1 3.980870+6 7.437960+1 4.224170+6330023501 199 7.483320+1 4.310810+6 7.649860+1 4.578910+6 8.000000+1 5.142590+6330023501 200 8.004890+1 5.148180+6 8.451940+1 5.659880+6 8.549280+1 5.771620+6330023501 201 8.738850+1 5.989240+6 9.038380+1 6.186530+6 9.060480+1 6.201090+6330023501 202 1.000000+2 6.819930+6 1.059150+2 6.968920+6 1.064990+2 6.983650+6330023501 203 1.110220+2 7.097790+6 1.137180+2 7.167050+6 1.189220+2 7.218920+6330023501 204 1.219030+2 7.224890+6 1.223710+2 7.222280+6 1.266310+2 7.198530+6330023501 205 1.298750+2 7.180440+6 1.316470+2 7.171060+6 1.346800+2 7.109330+6330023501 206 1.347150+2 7.108610+6 1.368460+2 7.065290+6 1.377590+2 7.046760+6330023501 207 1.422060+2 6.917180+6 1.437800+2 6.871310+6 1.437800+2 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1.456710+2-3.035480+1 1.483560+2-3.010140+1330027506 1837 1.509880+2-2.969280+1 1.751720+2-2.714650+1 1.953300+2-2.591850+1330027506 1838 2.000110+2-2.609290+1 2.027250+2-2.607310+1 2.049820+2-2.557390+1330027506 1839 2.086710+2-2.492030+1 2.279470+2-2.297680+1 2.669080+2-2.025820+1330027506 1840 3.021120+2-1.833320+1 3.369680+2-1.689500+1 4.068390+2-1.489150+1330027506 1841 4.472140+2-1.407050+1 5.302550+2-1.289720+1 6.122350+2-1.224500+1330027506 1842 7.085680+2-1.194030+1 8.339240+2-1.194940+1 9.353110+2-1.234180+1330027506 1843 1.042190+3-1.314200+1 1.115680+3-1.409350+1 1.154820+3-1.477730+1330027506 1844 1.211840+3-1.621030+1 1.245940+3-1.751480+1 1.280360+3-1.957590+1330027506 1845 1.296160+3-2.121430+1 1.302920+3-2.222350+1 1.306280+3-2.283630+1330027506 1846 1.310100+3-2.362460+1 1.313430+3-2.438380+1 1.315820+3-2.494000+1330027506 1847 1.318110+3-2.545200+1 1.320470+3-2.593800+1 1.323230+3-2.640240+1330027506 1848 1.329680+3-2.688260+1 1.334670+3-2.677480+1 1.339610+3-2.634490+1330027506 1849 1.344570+3-2.577570+1 1.360080+3-2.468520+1 1.371620+3-2.355170+1330027506 1850 1.376820+3-2.276990+1 1.381700+3-2.193710+1 1.393980+3-2.001540+1330027506 1851 1.405120+3-1.870880+1 1.426210+3-1.695900+1 1.458960+3-1.509960+1330027506 1852 1.487800+3-1.421410+1 1.504090+3-1.428210+1 1.512950+3-1.431920+1330027506 1853 1.523570+3-1.394640+1 1.535330+3-1.306380+1 1.548070+3-1.209060+1330027506 1854 1.564010+3-1.118820+1 1.589350+3-1.008770+1 1.627090+3-8.832550+0330027506 1855 1.674510+3-7.698910+0 1.743100+3-6.374360+0 1.773060+3-5.907490+0330027506 1856 1.848010+3-4.986940+0 1.905110+3-4.349380+0 1.986650+3-3.658520+0330027506 1857 2.064540+3-3.069670+0 2.142420+3-2.639110+0 2.215080+3-2.289710+0330027506 1858 2.262530+3-2.105650+0 2.327770+3-1.838630+0 2.427590+3-1.483550+0330027506 1859 2.466070+3-1.376950+0 2.603890+3-1.075940+0 2.676670+3-9.509190-1330027506 1860 2.799720+3-7.964260-1 2.889820+3-7.131140-1 3.000000+3-6.230630-1330027506 1861 3.109840+3-5.562350-1 3.365770+3-4.675250-1 3.485220+3-4.326100-1330027506 1862 3.693770+3-4.186480-1 3.723630+3-4.150630-1 3.868160+3-4.126230-1330027506 1863 4.008360+3-4.183360-1 4.146130+3-4.475450-1 4.386790+3-4.919250-1330027506 1864 4.531960+3-5.313500-1 4.827480+3-5.948960-1 4.973800+3-6.343220-1330027506 1865 5.351910+3-7.369600-1 5.619690+3-8.230780-1 6.000000+3-9.361230-1330027506 1866 6.569310+3-1.099410+0 7.178090+3-1.313570+0 7.771340+3-1.503360+0330027506 1867 8.592981+3-1.811250+0 9.172710+3-2.079320+0 9.432071+3-2.211890+0330027506 1868 9.841350+3-2.453040+0 1.025150+4-2.767320+0 1.081550+4-3.371550+0330027506 1869 1.107190+4-3.778410+0 1.138150+4-4.567650+0 1.149420+4-5.042100+0330027506 1870 1.156020+4-5.438970+0 1.159210+4-5.683990+0 1.162060+4-5.942330+0330027506 1871 1.163290+4-6.065510+0 1.164500+4-6.192860+0 1.165630+4-6.318370+0330027506 1872 1.166690+4-6.441170+0 1.168160+4-6.615240+0 1.169520+4-6.779970+0330027506 1873 1.171140+4-6.977000+0 1.173210+4-7.217810+0 1.175480+4-7.454920+0330027506 1874 1.178030+4-7.663770+0 1.182560+4-7.798830+0 1.187090+4-7.626680+0330027506 1875 1.191290+4-7.225120+0 1.195310+4-6.713880+0 1.200400+4-6.062960+0330027506 1876 1.205250+4-5.495320+0 1.214570+4-4.744310+0 1.223310+4-4.272790+0330027506 1877 1.239690+4-3.623920+0 1.254030+4-3.193420+0 1.279110+4-2.611190+0330027506 1878 1.317470+4-1.967100+0 1.335560+4-1.732650+0 1.354370+4-1.540130+0330027506 1879 1.415940+4-1.018020+0 1.446730+4-8.045680-1 1.477510+4-6.423980-1330027506 1880 1.544680+4-3.388670-1 1.595060+4-1.449810-1 1.645850+4-8.601240-3330027506 1881 1.677700+4 7.824620-2 1.710630+4 1.578110-1 1.735950+4 2.043020-1330027506 1882 1.751410+4 2.193680-1 1.825990+4 3.360060-1 1.854010+4 3.707210-1330027506 1883 1.877940+4 3.844040-1 1.979610+4 4.848930-1 2.012920+4 5.108270-1330027506 1884 2.051330+4 5.193370-1 2.148480+4 5.704610-1 2.235120+4 5.847760-1330027506 1885 2.328390+4 6.140010-1 2.415510+4 6.130890-1 2.535230+4 6.315510-1330027506 1886 3.132820+4 6.087260-1 4.486890+4 4.467300-1 5.706790+4 3.411920-1330027506 1887 6.576800+4 2.821160-1 7.556110+4 2.321400-1 8.525450+4 1.945800-1330027506 1888 9.318310+4 1.708010-1 1.017720+5 1.498030-1 1.132640+5 1.267720-1330027506 1889 1.312290+5 9.980960-2 1.502750+5 7.936750-2 1.607080+5 7.070000-2330027506 1890 1.736130+5 6.180630-2 1.896570+5 5.291300-2 2.016210+5 4.725940-2330027506 1891 2.286410+5 3.739590-2 2.457200+5 3.268750-2 2.668810+5 2.795190-2330027506 1892 3.003880+5 2.203020-2 3.402370+5 1.703510-2 3.689100+5 1.435840-2330027506 1893 4.004150+5 1.195660-2 4.613000+5 8.576670-3 5.054080+5 6.764790-3330027506 1894 5.524000+5 5.280850-3 5.841390+5 4.471730-3 6.501170+5 3.163940-3330027506 1895 7.160090+5 2.201130-3 7.798130+5 1.492610-3 8.465560+5 9.167700-4330027506 1896 9.101570+5 4.804160-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0330027506 1897 330027 0 1898 3300 0 0 1899 0 0 0 1900 3.400000+4 7.828170+1 -1 0 0 13400 1451 1 0.000000+0 0.000000+0 0 0 0 63400 1451 2 0.000000+0 0.000000+0 0 0 3 63400 1451 3 0.000000+0 0.000000+0 0 0 123 243400 1451 4 34-SE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3400 1451 6 ----ENDF/B-VI MATERIAL 3400 3400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3400 1451 8 ------ENDF-6 FORMAT 3400 1451 9 =================================================================3400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3400 1451 11 ENDF/B-VI FORMAT 3400 1451 12 =================================================================3400 1451 13 CONTENTS 3400 1451 14 =================================================================3400 1451 15 MF/MT DESCRIPTION 3400 1451 16 =================================================================3400 1451 17 23/501 TOTAL CROSS SECTION 3400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3400 1451 36 =================================================================3400 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 3400 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 3400 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3400 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 3400 1451 41 =================================================================3400 1451 42 WARNING 3400 1451 43 =================================================================3400 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3400 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3400 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3400 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3400 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3400 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3400 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3400 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3400 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3400 1451 53 =================================================================3400 1451 54 DEFINITION OF NEW TYPES OF DATA 3400 1451 55 =================================================================3400 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3400 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3400 1451 58 3400 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3400 1451 60 C2 FIELDS ARE, 3400 1451 61 3400 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3400 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3400 1451 64 3400 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3400 1451 66 3400 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3400 1451 68 3400 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3400 1451 70 T = THE THOMSON CROSS SECTION 3400 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 3400 1451 72 FF(M) = THE ATOMIC FORM FACTOR 3400 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3400 1451 74 F1(E) = THE REAL SCATTERING FACTOR 3400 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 3400 1451 76 3400 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 3400 1451 78 3400 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3400 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3400 1451 81 =================================================================3400 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3400 1451 83 =================================================================3400 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3400 1451 85 HERE - 10 EV TO 100 MEV 3400 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3400 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 3400 1451 88 HERE - PHOTON INTERACTION 3400 1451 89 - AVERAGE FLUORESCENCE YIELD 3400 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3400 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3400 1451 92 HERE - NO SECONDARY ENERGY DATA 3400 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3400 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 3400 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 3400 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 3400 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3400 1451 98 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3400 1451 99 ORDER TO ALLOW CROSS SECTIONS DEFINED 3400 1451 100 BY SUMMATION (E.G., TOTAL) TO BE 3400 1451 101 CONSISTENTLY DEFINED AT ALL ENERGIES. 3400 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 3400 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3400 1451 104 =================================================================3400 1451 105 REFERENCES 3400 1451 106 =================================================================3400 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3400 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3400 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3400 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3400 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3400 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3400 1451 113 3400 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3400 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3400 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3400 1451 117 OF THE DATA, ETC. 3400 1451 118 =================================================================3400 1451 119 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3400 1451 120 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3400 1451 121 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3400 1451 122 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3400 1451 123 *RECONSTRUCTED MT NUMBERS 3400 1451 124 516 =+(515,515)+(517,517) 3400 1451 125 522 =+(534,572) 3400 1451 126 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3400 1451 127 1 451 151 13400 1451 128 23 501 389 13400 1451 129 23 502 67 13400 1451 130 23 504 25 13400 1451 131 23 515 17 13400 1451 132 23 516 38 13400 1451 133 23 517 25 13400 1451 134 23 522 287 13400 1451 135 23 534 34 13400 1451 136 23 535 40 13400 1451 137 23 536 48 13400 1451 138 23 537 49 13400 1451 139 23 538 45 13400 1451 140 23 539 52 13400 1451 141 23 540 54 13400 1451 142 23 541 67 13400 1451 143 23 542 68 13400 1451 144 23 543 52 13400 1451 145 23 544 63 13400 1451 146 23 545 63 13400 1451 147 27 502 52 13400 1451 148 27 504 46 13400 1451 149 27 505 53 13400 1451 150 27 506 80 13400 1451 151 3400 1 0 152 3400 0 0 153 3.400000+4 7.828170+1 0 0 0 0340023501 154 0.000000+0 0.000000+0 0 0 1 1158340023501 155 1158 2 0 0 0 0340023501 156 1.000000+1 6.021910+7 1.017610+1 5.967670+7 1.068980+1 5.809460+7340023501 157 1.069970+1 5.803970+7 1.101380+1 5.629720+7 1.145590+1 5.338370+7340023501 158 1.154780+1 5.277810+7 1.189800+1 5.047030+7 1.236950+1 4.714400+7340023501 159 1.406670+1 3.517070+7 1.420180+1 3.421760+7 1.427350+1 3.371180+7340023501 160 1.432820+1 3.333750+7 1.526760+1 2.763780+7 1.547950+1 2.654880+7340023501 161 1.614090+1 2.340640+7 1.634250+1 2.244850+7 1.648490+1 2.187210+7340023501 162 1.688650+1 2.037750+7 1.737450+1 1.856130+7 1.792090+1 1.680980+7340023501 163 1.847160+1 1.523300+7 1.918820+1 1.288930+7 1.922060+1 1.279180+7340023501 164 2.000000+1 1.080030+7 2.034540+1 1.013090+7 2.047760+1 9.896500+6340023501 165 2.081800+1 9.292990+6 2.099000+1 8.988040+6 2.099000+1 9.038060+6340023501 166 2.131390+1 8.463160+6 2.181420+1 7.731530+6 2.259530+1 6.698540+6340023501 167 2.306270+1 6.179340+6 2.381160+1 5.427130+6 2.427110+1 5.033140+6340023501 168 2.439470+1 4.937720+6 2.498250+1 4.483970+6 2.498510+1 4.481970+6340023501 169 2.499200+1 4.477470+6 2.559980+1 4.082110+6 2.583520+1 3.929350+6340023501 170 2.649890+1 3.542650+6 2.728620+1 3.158510+6 2.788410+1 2.893080+6340023501 171 2.789860+1 2.886660+6 2.862250+1 2.621070+6 2.972700+1 2.254940+6340023501 172 2.980370+1 2.229720+6 3.039660+1 2.068680+6 3.070890+1 1.992500+6340023501 173 3.103440+1 1.913400+6 3.142190+1 1.819230+6 3.143460+1 1.816590+6340023501 174 3.196570+1 1.708150+6 3.284360+1 1.546640+6 3.310960+1 1.504810+6340023501 175 3.380870+1 1.395330+6 3.450270+1 1.298040+6 3.582060+1 1.143390+6340023501 176 3.637340+1 1.085700+6 3.651740+1 1.073180+6 3.814360+1 9.318360+5340023501 177 3.815220+1 9.312000+5 4.000000+1 8.108810+5 4.170910+1 7.279660+5340023501 178 4.216810+1 7.078340+5 4.229490+1 7.019650+5 4.302250+1 6.740700+5340023501 179 4.376360+1 6.456580+5 4.441060+1 6.208540+5 4.472140+1 6.102640+5340023501 180 4.490830+1 6.054070+5 4.728710+1 5.380610+5 4.768890+1 5.297390+5340023501 181 5.000000+1 4.818720+5 5.092240+1 4.697030+5 5.221240+1 4.526850+5340023501 182 5.353810+1 4.324250+5 5.477230+1 4.173780+5 5.566700+1 4.088550+5340023501 183 5.603490+1 4.053500+5 5.815250+1 3.875470+5 6.000000+1 3.720150+5340023501 184 6.028120+1 3.703200+5 6.128210+1 3.642880+5 6.290950+1 3.544800+5340023501 185 6.333930+1 3.518900+5 6.372700+1 3.495530+5 6.397000+1 3.480890+5340023501 186 6.397000+1 8.945630+5 6.491000+1 8.889170+5 6.491000+1 1.246950+6340023501 187 6.493870+1 1.246770+6 6.559020+1 1.242640+6 6.621000+1 1.238710+6340023501 188 6.951460+1 1.279540+6 7.000000+1 1.300200+6 7.222510+1 1.397650+6340023501 189 7.237620+1 1.404270+6 7.250000+1 1.414260+6 7.483310+1 1.602640+6340023501 190 7.609270+1 1.704010+6 7.628860+1 1.726860+6 7.877180+1 2.016460+6340023501 191 7.905560+1 2.052470+6 7.980810+1 2.147960+6 8.000000+1 2.175800+6340023501 192 8.235100+1 2.518850+6 8.296840+1 2.608950+6 8.313680+1 2.636040+6340023501 193 8.498540+1 2.954980+6 8.586960+1 3.107520+6 8.796760+1 3.469490+6340023501 194 9.000000+1 3.820130+6 9.121110+1 3.997250+6 9.457420+1 4.489100+6340023501 195 9.486830+1 4.532180+6 1.000000+2 5.128480+6 1.041310+2 5.494530+6340023501 196 1.042840+2 5.508110+6 1.099690+2 6.012790+6 1.101640+2 6.023890+6340023501 197 1.106680+2 6.052580+6 1.132280+2 6.199100+6 1.188440+2 6.520520+6340023501 198 1.229830+2 6.639210+6 1.253730+2 6.707750+6 1.288420+2 6.807230+6340023501 199 1.291480+2 6.816100+6 1.297040+2 6.817680+6 1.355400+2 6.834320+6340023501 200 1.427000+2 6.854990+6 1.462310+2 6.785720+6 1.532000+2 6.649000+6340023501 201 1.582870+2 6.549550+6 1.620280+2 6.477080+6 1.637100+2 6.444500+6340023501 202 1.637100+2 6.707510+6 1.656620+2 6.693840+6 1.669900+2 6.684540+6340023501 203 1.694300+2 6.638750+6 1.697700+2 6.630520+6 1.697700+2 6.754580+6340023501 204 1.718550+2 6.707660+6 1.731600+2 6.678280+6 1.773290+2 6.571070+6340023501 205 1.795630+2 6.513620+6 1.810620+2 6.473060+6 1.861210+2 6.336900+6340023501 206 1.995980+2 5.974540+6 1.998400+2 5.968040+6 2.000000+2 5.963750+6340023501 207 2.043480+2 5.838820+6 2.163400+2 5.495510+6 2.183810+2 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1.328350-1 1.864970+4 2.209460-1340027506 1874 1.891390+4 2.673940-1 1.914510+4 2.953020-1 1.922740+4 2.974960-1340027506 1875 1.944720+4 3.207510-1 2.013750+4 4.073060-1 2.052270+4 4.462950-1340027506 1876 2.084450+4 4.601600-1 2.199390+4 5.352760-1 2.242480+4 5.432380-1340027506 1877 2.355960+4 5.927830-1 2.466680+4 6.066670-1 2.557170+4 6.292760-1340027506 1878 3.088480+4 6.345540-1 4.602210+4 4.657690-1 5.720330+4 3.680490-1340027506 1879 6.576800+4 3.069460-1 7.544790+4 2.539830-1 8.533390+4 2.128540-1340027506 1880 9.296400+4 1.880070-1 1.015150+5 1.652790-1 1.143200+5 1.377590-1340027506 1881 1.312290+5 1.104060-1 1.414780+5 9.748850-2 1.619640+5 7.739080-2340027506 1882 1.732570+5 6.880280-2 1.896650+5 5.875690-2 2.151150+5 4.661530-2340027506 1883 2.326710+5 4.034150-2 2.491830+5 3.548250-2 2.673950+5 3.101250-2340027506 1884 2.851740+5 2.732420-2 3.028740+5 2.419940-2 3.408580+5 1.892470-2340027506 1885 3.746040+5 1.552700-2 4.036370+5 1.313950-2 4.598630+5 9.645840-3340027506 1886 5.038940+5 7.605960-3 5.477230+5 6.031560-3 5.841390+5 4.992790-3340027506 1887 6.501170+5 3.532360-3 7.159790+5 2.460510-3 7.798130+5 1.667040-3340027506 1888 8.465560+5 1.023280-3 9.101570+5 5.359910-4 1.000000+6 0.000000+0340027506 1889 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0340027506 1890 340027 0 1891 3400 0 0 1892 0 0 0 1893 3.500000+4 7.921760+1 -1 0 0 13500 1451 1 0.000000+0 0.000000+0 0 0 0 63500 1451 2 0.000000+0 0.000000+0 0 0 3 63500 1451 3 0.000000+0 0.000000+0 0 0 123 243500 1451 4 35-BR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3500 1451 6 ----ENDF/B-VI MATERIAL 3500 3500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3500 1451 8 ------ENDF-6 FORMAT 3500 1451 9 =================================================================3500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3500 1451 11 ENDF/B-VI FORMAT 3500 1451 12 =================================================================3500 1451 13 CONTENTS 3500 1451 14 =================================================================3500 1451 15 MF/MT DESCRIPTION 3500 1451 16 =================================================================3500 1451 17 23/501 TOTAL CROSS SECTION 3500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3500 1451 36 =================================================================3500 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 3500 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 3500 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3500 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 3500 1451 41 =================================================================3500 1451 42 WARNING 3500 1451 43 =================================================================3500 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3500 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3500 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3500 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3500 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3500 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3500 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3500 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3500 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3500 1451 53 =================================================================3500 1451 54 DEFINITION OF NEW TYPES OF DATA 3500 1451 55 =================================================================3500 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3500 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3500 1451 58 3500 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3500 1451 60 C2 FIELDS ARE, 3500 1451 61 3500 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3500 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3500 1451 64 3500 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3500 1451 66 3500 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3500 1451 68 3500 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3500 1451 70 T = THE THOMSON CROSS SECTION 3500 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 3500 1451 72 FF(M) = THE ATOMIC FORM FACTOR 3500 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3500 1451 74 F1(E) = THE REAL SCATTERING FACTOR 3500 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 3500 1451 76 3500 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 3500 1451 78 3500 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3500 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3500 1451 81 =================================================================3500 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3500 1451 83 =================================================================3500 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3500 1451 85 HERE - 10 EV TO 100 MEV 3500 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3500 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 3500 1451 88 HERE - PHOTON INTERACTION 3500 1451 89 - AVERAGE FLUORESCENCE YIELD 3500 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3500 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3500 1451 92 HERE - NO SECONDARY ENERGY DATA 3500 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3500 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 3500 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 3500 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 3500 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3500 1451 98 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3500 1451 99 ORDER TO ALLOW CROSS SECTIONS DEFINED 3500 1451 100 BY SUMMATION (E.G., TOTAL) TO BE 3500 1451 101 CONSISTENTLY DEFINED AT ALL ENERGIES. 3500 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 3500 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3500 1451 104 =================================================================3500 1451 105 REFERENCES 3500 1451 106 =================================================================3500 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3500 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3500 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3500 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3500 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3500 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3500 1451 113 3500 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3500 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3500 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3500 1451 117 OF THE DATA, ETC. 3500 1451 118 =================================================================3500 1451 119 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3500 1451 120 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3500 1451 121 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3500 1451 122 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3500 1451 123 *RECONSTRUCTED MT NUMBERS 3500 1451 124 516 =+(515,515)+(517,517) 3500 1451 125 522 =+(534,572) 3500 1451 126 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3500 1451 127 1 451 151 13500 1451 128 23 501 408 13500 1451 129 23 502 71 13500 1451 130 23 504 25 13500 1451 131 23 515 17 13500 1451 132 23 516 38 13500 1451 133 23 517 25 13500 1451 134 23 522 298 13500 1451 135 23 534 34 13500 1451 136 23 535 40 13500 1451 137 23 536 47 13500 1451 138 23 537 49 13500 1451 139 23 538 46 13500 1451 140 23 539 52 13500 1451 141 23 540 53 13500 1451 142 23 541 67 13500 1451 143 23 542 68 13500 1451 144 23 543 53 13500 1451 145 23 544 62 13500 1451 146 23 545 63 13500 1451 147 27 502 52 13500 1451 148 27 504 45 13500 1451 149 27 505 76 13500 1451 150 27 506 102 13500 1451 151 3500 1 0 152 3500 0 0 153 3.500000+4 7.921760+1 0 0 0 0350023501 154 0.000000+0 0.000000+0 0 0 1 1213350023501 155 1213 2 0 0 0 0350023501 156 1.000000+1 1.348930+1 1.019860+1 1.777230+1 1.041980+1 2.400970+1350023501 157 1.060030+1 3.072740+1 1.070270+1 3.772810+1 1.077940+1 4.555890+1350023501 158 1.083830+1 5.463730+1 1.089890+1 6.865150+1 1.098460+1 9.268300+1350023501 159 1.103000+1 1.017300+2 1.103000+1 4.609280+7 1.103480+1 4.609540+7350023501 160 1.108500+1 4.612200+7 1.115350+1 4.615840+7 1.123510+1 4.620180+7350023501 161 1.137880+1 4.627820+7 1.144560+1 4.631370+7 1.154780+1 4.636800+7350023501 162 1.159000+1 4.639050+7 1.159000+1 6.889290+7 1.159400+1 6.889250+7350023501 163 1.164590+1 6.888710+7 1.169510+1 6.888210+7 1.182000+1 6.886920+7350023501 164 1.200000+1 6.844830+7 1.218270+1 6.802110+7 1.254540+1 6.717290+7350023501 165 1.283850+1 6.584290+7 1.323270+1 6.405400+7 1.371790+1 6.147500+7350023501 166 1.407860+1 5.909040+7 1.447490+1 5.647050+7 1.611240+1 4.409810+7350023501 167 1.688590+1 3.825380+7 1.701180+1 3.730250+7 1.771740+1 3.283910+7350023501 168 1.844550+1 2.823340+7 1.845810+1 2.816330+7 1.946780+1 2.307170+7350023501 169 1.947220+1 2.305220+7 1.988080+1 2.141320+7 2.053050+1 1.880710+7350023501 170 2.096100+1 1.728460+7 2.147180+1 1.567210+7 2.149310+1 1.560480+7350023501 171 2.229270+1 1.344390+7 2.257450+1 1.275590+7 2.309400+1 1.169480+7350023501 172 2.350130+1 1.086290+7 2.390640+1 1.010720+7 2.394430+1 1.003640+7350023501 173 2.418000+1 9.671990+6 2.418000+1 9.689330+6 2.490440+1 8.569260+6350023501 174 2.541690+1 7.853190+6 2.586200+1 7.336730+6 2.642400+1 6.684880+6350023501 175 2.689920+1 6.188200+6 2.718540+1 5.937820+6 2.762060+1 5.557320+6350023501 176 2.773720+1 5.455370+6 2.782960+1 5.374580+6 2.826700+1 5.025560+6350023501 177 2.844470+1 4.907670+6 2.912060+1 4.459920+6 2.926350+1 4.374100+6350023501 178 3.000000+1 3.932680+6 3.008660+1 3.880880+6 3.082990+1 3.512920+6350023501 179 3.088240+1 3.489480+6 3.109840+1 3.393050+6 3.169920+1 3.126010+6350023501 180 3.233740+1 2.889440+6 3.253730+1 2.822470+6 3.255960+1 2.815040+6350023501 181 3.359710+1 2.469230+6 3.409100+1 2.333640+6 3.410310+1 2.330340+6350023501 182 3.496950+1 2.116730+6 3.549040+1 1.988310+6 3.567330+1 1.947100+6350023501 183 3.587070+1 1.910100+6 3.716200+1 1.671550+6 3.746230+1 1.623920+6350023501 184 3.767780+1 1.589740+6 3.882150+1 1.430440+6 3.903070+1 1.401300+6350023501 185 4.000000+1 1.290040+6 4.064450+1 1.225220+6 4.084560+1 1.204740+6350023501 186 4.129940+1 1.167070+6 4.170910+1 1.131480+6 4.303870+1 1.027730+6350023501 187 4.306320+1 1.026150+6 4.349120+1 9.974910+5 4.441060+1 9.359170+5350023501 188 4.485060+1 9.099830+5 4.501520+1 9.002810+5 4.582630+1 8.507590+5350023501 189 4.728710+1 7.742690+5 5.000000+1 6.760720+5 5.042700+1 6.632790+5350023501 190 5.119500+1 6.429300+5 5.328380+1 5.875840+5 5.353810+1 5.813300+5350023501 191 5.412340+1 5.686630+5 5.477230+1 5.546180+5 5.864810+1 4.999590+5350023501 192 6.000000+1 4.810380+5 6.310140+1 4.538610+5 6.423210+1 4.439520+5350023501 193 6.543480+1 4.334130+5 6.735370+1 4.182840+5 6.866410+1 4.104760+5350023501 194 7.000000+1 4.038810+5 7.034780+1 4.023290+5 7.365360+1 3.875710+5350023501 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1.722530+3-1.440440+1 1.741680+3-1.419200+1 1.757970+3-1.424390+1350027506 1924 1.772130+3-1.399090+1 1.783350+3-1.337450+1 1.804220+3-1.194970+1350027506 1925 1.815940+3-1.137560+1 1.845040+3-1.028040+1 1.883740+3-9.125130+0350027506 1926 1.934540+3-7.954730+0 2.004280+3-6.703730+0 2.089570+3-5.469710+0350027506 1927 2.160900+3-4.704540+0 2.253970+3-3.869770+0 2.334760+3-3.343740+0350027506 1928 2.424260+3-2.787450+0 2.482670+3-2.480860+0 2.648540+3-1.865980+0350027506 1929 2.686340+3-1.739870+0 2.746020+3-1.589570+0 2.783680+3-1.517180+0350027506 1930 2.915270+3-1.223370+0 2.995260+3-1.059070+0 3.119200+3-8.816250-1350027506 1931 3.331500+3-6.181980-1 3.385020+3-5.784890-1 3.575870+3-4.825320-1350027506 1932 3.718270+3-4.254340-1 3.791440+3-4.084130-1 3.895200+3-3.945420-1350027506 1933 4.122580+3-3.761970-1 4.193470+3-3.750960-1 4.416700+3-3.842250-1350027506 1934 4.598090+3-3.913120-1 4.945480+3-4.354290-1 5.075790+3-4.566660-1350027506 1935 5.153470+3-4.772820-1 5.582270+3-5.521980-1 5.683930+3-5.842950-1350027506 1936 5.876741+3-6.427440-1 6.418500+3-7.896280-1 6.881760+3-9.156290-1350027506 1937 7.460640+3-1.064410+0 8.188431+3-1.282600+0 8.959880+3-1.513550+0350027506 1938 9.715600+3-1.772980+0 1.060390+4-2.129080+0 1.117730+4-2.428470+0350027506 1939 1.160740+4-2.709820+0 1.225250+4-3.304490+0 1.259670+4-3.802920+0350027506 1940 1.292680+4-4.546710+0 1.305470+4-5.022610+0 1.312970+4-5.420500+0350027506 1941 1.316590+4-5.665750+0 1.319010+4-5.855330+0 1.321230+4-6.047560+0350027506 1942 1.322600+4-6.175010+0 1.325090+4-6.423480+0 1.326760+4-6.597640+0350027506 1943 1.328300+4-6.762420+0 1.330140+4-6.959470+0 1.332490+4-7.200210+0350027506 1944 1.335070+4-7.437000+0 1.337970+4-7.644550+0 1.343440+4-7.777710+0350027506 1945 1.348900+4-7.565420+0 1.354640+4-7.050010+0 1.358170+4-6.626390+0350027506 1946 1.364690+4-5.915480+0 1.370600+4-5.345320+0 1.381960+4-4.601190+0350027506 1947 1.392610+4-4.126760+0 1.412590+4-3.472740+0 1.430060+4-3.038210+0350027506 1948 1.462870+4-2.416060+0 1.483580+4-2.100520+0 1.517990+4-1.680020+0350027506 1949 1.554920+4-1.358090+0 1.618730+4-9.203500-1 1.651890+4-7.295620-1350027506 1950 1.685060+4-5.827260-1 1.764810+4-2.913780-1 1.859650+4-4.446860-2350027506 1951 1.882240+4 8.966780-3 1.893770+4 3.653020-2 1.910830+4 7.134640-2350027506 1952 1.952340+4 1.322660-1 2.026940+4 2.618170-1 2.060650+4 3.127480-1350027506 1953 2.089030+4 3.465780-1 2.111020+4 3.585750-1 2.247830+4 4.882020-1350027506 1954 2.276450+4 5.052880-1 2.313140+4 5.137780-1 2.411920+4 5.637710-1350027506 1955 2.597120+4 6.129220-1 2.889820+4 6.418690-1 3.405960+4 6.294410-1350027506 1956 4.864030+4 4.696430-1 6.194650+4 3.587180-1 7.096070+4 3.004570-1350027506 1957 7.552720+4 2.754380-1 8.533390+4 2.319030-1 9.297290+4 2.052690-1350027506 1958 1.018040+5 1.801720-1 1.143200+5 1.510870-1 1.312290+5 1.214090-1350027506 1959 1.516700+5 9.567220-2 1.607080+5 8.661740-2 1.735950+5 7.586520-2350027506 1960 1.892610+5 6.528000-2 2.016120+5 5.815670-2 2.151150+5 5.164590-2350027506 1961 2.326710+5 4.472720-2 2.491830+5 3.936420-2 2.681450+5 3.424200-2350027506 1962 3.018400+5 2.704250-2 3.408580+5 2.103350-2 3.689100+5 1.781230-2350027506 1963 4.031860+5 1.464840-2 4.598630+5 1.074610-2 5.021790+5 8.541440-3350027506 1964 5.477230+5 6.717370-3 5.841390+5 5.560930-3 6.501170+5 3.933860-3350027506 1965 7.159790+5 2.740610-3 7.816480+5 1.836730-3 8.486900+5 1.120830-3350027506 1966 9.101570+5 5.966000-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0350027506 1967 350027 0 1968 3500 0 0 1969 0 0 0 1970 3.600000+4 8.308020+1 -1 0 0 13600 1451 1 0.000000+0 0.000000+0 0 0 0 63600 1451 2 0.000000+0 0.000000+0 0 0 3 63600 1451 3 0.000000+0 0.000000+0 0 0 123 243600 1451 4 36-KR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3600 1451 6 ----ENDF/B-VI MATERIAL 3600 3600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3600 1451 8 ------ENDF-6 FORMAT 3600 1451 9 =================================================================3600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3600 1451 11 ENDF/B-VI FORMAT 3600 1451 12 =================================================================3600 1451 13 CONTENTS 3600 1451 14 =================================================================3600 1451 15 MF/MT DESCRIPTION 3600 1451 16 =================================================================3600 1451 17 23/501 TOTAL CROSS SECTION 3600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3600 1451 36 =================================================================3600 1451 37 27/502 COHERENT SCATTERING FORM FACTORS 3600 1451 38 27/504 INCOHERENT SCATTERING FUNCTIONS 3600 1451 39 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3600 1451 40 27/506 COHERENT REAL SCATTERING FACTOR 3600 1451 41 =================================================================3600 1451 42 WARNING 3600 1451 43 =================================================================3600 1451 44 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3600 1451 45 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3600 1451 46 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3600 1451 47 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3600 1451 48 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3600 1451 49 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3600 1451 50 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3600 1451 51 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3600 1451 52 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3600 1451 53 =================================================================3600 1451 54 DEFINITION OF NEW TYPES OF DATA 3600 1451 55 =================================================================3600 1451 56 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3600 1451 57 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3600 1451 58 3600 1451 59 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3600 1451 60 C2 FIELDS ARE, 3600 1451 61 3600 1451 62 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3600 1451 63 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3600 1451 64 3600 1451 65 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3600 1451 66 3600 1451 67 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3600 1451 68 3600 1451 69 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3600 1451 70 T = THE THOMSON CROSS SECTION 3600 1451 71 MU = THE COSINE OF THE SCATTERING ANGLE 3600 1451 72 FF(M) = THE ATOMIC FORM FACTOR 3600 1451 73 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3600 1451 74 F1(E) = THE REAL SCATTERING FACTOR 3600 1451 75 F2(E) = THE IMAGINARY SCATTERING FACTOR 3600 1451 76 3600 1451 77 F1(E) AND F2(E) ARE ISOTROPIC. 3600 1451 78 3600 1451 79 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3600 1451 80 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3600 1451 81 =================================================================3600 1451 82 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3600 1451 83 =================================================================3600 1451 84 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3600 1451 85 HERE - 10 EV TO 100 MEV 3600 1451 86 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3600 1451 87 - FLUORESCENCE AND ELECTRON SPECTRA 3600 1451 88 HERE - PHOTON INTERACTION 3600 1451 89 - AVERAGE FLUORESCENCE YIELD 3600 1451 90 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3600 1451 91 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3600 1451 92 HERE - NO SECONDARY ENERGY DATA 3600 1451 93 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3600 1451 94 INTERPOLABLE - SUMMATION CROSS SECTIONS 3600 1451 95 (E.G., TOTAL) ARE NOT INCLUDED 3600 1451 96 - FORM FACTORS ARE LOG X VS. LOG Y 3600 1451 97 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3600 1451 98 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3600 1451 99 ORDER TO ALLOW CROSS SECTIONS DEFINED 3600 1451 100 BY SUMMATION (E.G., TOTAL) TO BE 3600 1451 101 CONSISTENTLY DEFINED AT ALL ENERGIES. 3600 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 3600 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3600 1451 104 =================================================================3600 1451 105 REFERENCES 3600 1451 106 =================================================================3600 1451 107 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3600 1451 108 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3600 1451 109 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3600 1451 110 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3600 1451 111 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3600 1451 112 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3600 1451 113 3600 1451 114 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3600 1451 115 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3600 1451 116 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3600 1451 117 OF THE DATA, ETC. 3600 1451 118 =================================================================3600 1451 119 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3600 1451 120 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3600 1451 121 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3600 1451 122 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3600 1451 123 *RECONSTRUCTED MT NUMBERS 3600 1451 124 516 =+(515,515)+(517,517) 3600 1451 125 522 =+(534,572) 3600 1451 126 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3600 1451 127 1 451 151 13600 1451 128 23 501 433 13600 1451 129 23 502 74 13600 1451 130 23 504 24 13600 1451 131 23 515 17 13600 1451 132 23 516 38 13600 1451 133 23 517 24 13600 1451 134 23 522 329 13600 1451 135 23 534 34 13600 1451 136 23 535 40 13600 1451 137 23 536 47 13600 1451 138 23 537 48 13600 1451 139 23 538 45 13600 1451 140 23 539 50 13600 1451 141 23 540 53 13600 1451 142 23 541 66 13600 1451 143 23 542 66 13600 1451 144 23 543 54 13600 1451 145 23 544 61 13600 1451 146 23 545 63 13600 1451 147 27 502 49 13600 1451 148 27 504 42 13600 1451 149 27 505 77 13600 1451 150 27 506 104 13600 1451 151 3600 1 0 152 3600 0 0 153 3.600000+4 8.308020+1 0 0 0 0360023501 154 0.000000+0 0.000000+0 0 0 1 1290360023501 155 1290 2 0 0 0 0360023501 156 1.000000+1 5.857080+0 1.023350+1 7.059120+0 1.059410+1 9.340160+0360023501 157 1.096740+1 1.235830+1 1.127040+1 1.632810+1 1.153680+1 2.073140+1360023501 158 1.167240+1 2.336020+1 1.190510+1 3.103250+1 1.210830+1 3.958560+1360023501 159 1.218810+1 4.387730+1 1.223880+1 4.660400+1 1.234260+1 5.569240+1360023501 160 1.243100+1 6.722530+1 1.249890+1 8.051870+1 1.256880+1 1.002920+2360023501 161 1.266760+1 1.350600+2 1.272000+1 1.485790+2 1.272000+1 4.880890+7360023501 162 1.272190+1 4.881440+7 1.277610+1 4.896910+7 1.284600+1 4.916870+7360023501 163 1.295650+1 4.948420+7 1.314350+1 5.001810+7 1.324600+1 5.031080+7360023501 164 1.343000+1 5.083620+7 1.343000+1 7.424840+7 1.349570+1 7.455640+7360023501 165 1.357890+1 7.494640+7 1.370000+1 7.551410+7 1.372090+1 7.553410+7360023501 166 1.394860+1 7.575240+7 1.419370+1 7.598720+7 1.483100+1 7.567990+7360023501 167 1.500000+1 7.503480+7 1.611850+1 6.897410+7 1.640000+1 6.670840+7360023501 168 1.643590+1 6.641950+7 1.701190+1 6.178350+7 1.882240+1 4.638000+7360023501 169 1.901260+1 4.495940+7 1.959950+1 4.057580+7 1.980960+1 3.909960+7360023501 170 2.034690+1 3.532430+7 2.076310+1 3.273730+7 2.121460+1 2.993080+7360023501 171 2.124070+1 2.977900+7 2.228300+1 2.458940+7 2.236520+1 2.421140+7360023501 172 2.363630+1 1.918530+7 2.373110+1 1.884540+7 2.425300+1 1.727560+7360023501 173 2.507140+1 1.481390+7 2.511080+1 1.471320+7 2.622190+1 1.218180+7360023501 174 2.656720+1 1.150640+7 2.659990+1 1.144930+7 2.744000+1 9.981770+6360023501 175 2.744000+1 9.989080+6 2.751320+1 9.861200+6 2.796150+1 9.188890+6360023501 176 2.817680+1 8.896500+6 2.872970+1 8.145850+6 2.895140+1 7.885600+6360023501 177 2.916450+1 7.635440+6 2.924140+1 7.545190+6 3.000000+1 6.742180+6360023501 178 3.097010+1 5.877460+6 3.101060+1 5.844540+6 3.159160+1 5.372740+6360023501 179 3.190390+1 5.156120+6 3.197660+1 5.105740+6 3.236020+1 4.862950+6360023501 180 3.243280+1 4.817070+6 3.298840+1 4.465990+6 3.329640+1 4.298650+6360023501 181 3.380350+1 4.023620+6 3.381730+1 4.016140+6 3.398410+1 3.935620+6360023501 182 3.461670+1 3.631050+6 3.492630+1 3.505210+6 3.579650+1 3.152760+6360023501 183 3.582660+1 3.140620+6 3.645060+1 2.912990+6 3.668850+1 2.839690+6360023501 184 3.726460+1 2.664570+6 3.766750+1 2.552820+6 3.818410+1 2.411410+6360023501 185 3.852750+1 2.331670+6 3.906660+1 2.207820+6 3.916310+1 2.187360+6360023501 186 4.000000+1 2.009950+6 4.107720+1 1.842030+6 4.113320+1 1.833300+6360023501 187 4.229490+1 1.648500+6 4.236870+1 1.637950+6 4.310960+1 1.552410+6360023501 188 4.479940+1 1.351370+6 4.511290+1 1.318050+6 4.514210+1 1.315500+6360023501 189 4.728710+1 1.121360+6 4.770110+1 1.090800+6 4.835490+1 1.048200+6360023501 190 4.921070+1 9.924420+5 5.000000+1 9.410170+5 5.353810+1 7.874890+5360023501 191 5.603490+1 7.094680+5 5.732660+1 6.763760+5 5.798700+1 6.621920+5360023501 192 5.864810+1 6.479930+5 6.000000+1 6.158740+5 6.480740+1 5.433150+5360023501 193 6.645050+1 5.284760+5 6.798810+1 5.145900+5 7.000000+1 4.964210+5360023501 194 7.737350+1 4.535370+5 8.000000+1 4.413850+5 8.134400+1 4.369130+5360023501 195 8.151720+1 4.363370+5 8.668870+1 4.191290+5 9.000000+1 4.081120+5360023501 196 9.238450+1 4.015720+5 9.340290+1 3.987790+5 9.369240+1 3.979850+5360023501 197 9.398000+1 3.971960+5 9.398000+1 7.333160+5 9.535000+1 7.359100+5360023501 198 9.535000+1 9.568270+5 9.545340+1 9.574290+5 9.667310+1 9.645340+5360023501 199 9.726000+1 9.679520+5 1.000000+2 9.969740+5 1.006660+2 1.009520+6360023501 200 1.050320+2 1.091730+6 1.066920+2 1.131390+6 1.072690+2 1.149980+6360023501 201 1.098170+2 1.232050+6 1.107750+2 1.268800+6 1.124310+2 1.332320+6360023501 202 1.146280+2 1.438050+6 1.161900+2 1.521470+6 1.164220+2 1.533890+6360023501 203 1.184120+2 1.641080+6 1.193750+2 1.699650+6 1.197090+2 1.722710+6360023501 204 1.239210+2 2.013560+6 1.256670+2 2.148100+6 1.260780+2 2.182600+6360023501 205 1.289360+2 2.422500+6 1.290980+2 2.438360+6 1.326240+2 2.819260+6360023501 206 1.355400+2 3.192770+6 1.357210+2 3.215960+6 1.382110+2 3.534990+6360023501 207 1.388900+2 3.624490+6 1.401150+2 3.813860+6 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1.236830+1-4.538410+1 1.237650+1-4.546280+1360027506 1924 1.238450+1-4.554190+1 1.239230+1-4.562130+1 1.239990+1-4.570100+1360027506 1925 1.240730+1-4.578120+1 1.241220+1-4.583500+1 1.242170+1-4.594330+1360027506 1926 1.243100+1-4.605250+1 1.244000+1-4.616230+1 1.244860+1-4.627280+1360027506 1927 1.245710+1-4.638410+1 1.246520+1-4.649590+1 1.247700+1-4.666400+1360027506 1928 1.248820+1-4.683240+1 1.249890+1-4.700070+1 1.250910+1-4.716930+1360027506 1929 1.252210+1-4.739120+1 1.253430+1-4.760890+1 1.254570+1-4.782120+1360027506 1930 1.256150+1-4.812180+1 1.257610+1-4.840600+1 1.259350+1-4.875090+1360027506 1931 1.261580+1-4.918670+1 1.264020+1-4.962630+1 1.266760+1-5.003650+1360027506 1932 1.272190+1-5.043020+1 1.277610+1-5.027370+1 1.281890+1-4.979050+1360027506 1933 1.287320+1-4.901080+1 1.295650+1-4.797740+1 1.314350+1-4.700810+1360027506 1934 1.324600+1-4.718910+1 1.329650+1-4.736070+1 1.334580+1-4.749880+1360027506 1935 1.349570+1-4.699800+1 1.357890+1-4.607590+1 1.365340+1-4.524270+1360027506 1936 1.372090+1-4.456930+1 1.419370+1-4.177980+1 1.483100+1-3.910520+1360027506 1937 1.611850+1-3.493490+1 1.675960+1-3.320920+1 1.817120+1-3.045510+1360027506 1938 1.989300+1-2.846820+1 2.167130+1-2.758470+1 2.373110+1-2.735590+1360027506 1939 2.524580+1-2.744110+1 2.659990+1-2.763360+1 2.796150+1-2.786430+1360027506 1940 2.924140+1-2.809530+1 3.047990+1-2.831300+1 3.159160+1-2.850880+1360027506 1941 3.329640+1-2.880880+1 3.461670+1-2.903360+1 3.645060+1-2.933110+1360027506 1942 3.766750+1-2.952020+1 3.916310+1-2.972220+1 4.236870+1-3.003680+1360027506 1943 4.770110+1-3.040200+1 5.076800+1-3.058350+1 5.353810+1-3.077520+1360027506 1944 5.864810+1-3.108450+1 6.480740+1-3.137280+1 7.132490+1-3.163210+1360027506 1945 8.134400+1-3.205460+1 9.238450+1-3.293770+1 9.311430+1-3.307690+1360027506 1946 9.369240+1-3.318210+1 9.507190+1-3.330180+1 9.583640+1-3.330720+1360027506 1947 9.667310+1-3.330260+1 1.006660+2-3.341740+1 1.072690+2-3.392010+1360027506 1948 1.107750+2-3.424410+1 1.146280+2-3.461660+1 1.193750+2-3.511280+1360027506 1949 1.239210+2-3.560890+1 1.260780+2-3.583980+1 1.290980+2-3.618550+1360027506 1950 1.326240+2-3.652830+1 1.388900+2-3.702480+1 1.500000+2-3.695770+1360027506 1951 1.564820+2-3.621450+1 1.626870+2-3.527060+1 1.710110+2-3.396970+1360027506 1952 1.854150+2-3.240280+1 2.006230+2-3.177560+1 2.045400+2-3.219300+1360027506 1953 2.065910+2-3.244070+1 2.093100+2-3.214450+1 2.175660+2-3.086510+1360027506 1954 2.257870+2-2.955880+1 2.537850+2-2.696090+1 2.720460+2-2.602280+1360027506 1955 2.759270+2-2.617930+1 2.794240+2-2.603350+1 2.818370+2-2.559150+1360027506 1956 2.932700+2-2.415950+1 3.223710+2-2.174460+1 3.544030+2-1.978370+1360027506 1957 4.003580+2-1.760520+1 4.489410+2-1.602820+1 5.197120+2-1.436140+1360027506 1958 5.792970+2-1.339890+1 6.624460+2-1.246900+1 7.579880+2-1.187350+1360027506 1959 8.894920+2-1.154090+1 1.005610+3-1.152410+1 1.140410+3-1.188600+1360027506 1960 1.273370+3-1.267120+1 1.391650+3-1.382070+1 1.456900+3-1.478440+1360027506 1961 1.526550+3-1.623140+1 1.576620+3-1.786940+1 1.612290+3-1.974950+1360027506 1962 1.631450+3-2.138800+1 1.640270+3-2.251180+1 1.644650+3-2.322310+1360027506 1963 1.648080+3-2.384750+1 1.651800+3-2.457910+1 1.655580+3-2.535500+1360027506 1964 1.659240+3-2.608780+1 1.663680+3-2.685900+1 1.668080+3-2.736570+1360027506 1965 1.673910+3-2.763250+1 1.679570+3-2.738560+1 1.684980+3-2.674900+1360027506 1966 1.690400+3-2.589170+1 1.696930+3-2.498800+1 1.704710+3-2.427920+1360027506 1967 1.714190+3-2.399530+1 1.721210+3-2.388550+1 1.734110+3-2.303600+1360027506 1968 1.739920+3-2.231980+1 1.750480+3-2.073450+1 1.759930+3-1.948590+1360027506 1969 1.771420+3-1.836530+1 1.787650+3-1.714990+1 1.799660+3-1.638160+1360027506 1970 1.838310+3-1.475310+1 1.865950+3-1.419370+1 1.883380+3-1.426660+1360027506 1971 1.894470+3-1.429020+1 1.904810+3-1.402500+1 1.915300+3-1.350610+1360027506 1972 1.931520+3-1.250900+1 1.953050+3-1.139410+1 1.977620+3-1.051330+1360027506 1973 2.035420+3-8.935240+0 2.083550+3-7.905760+0 2.143690+3-6.863950+0360027506 1974 2.219930+3-5.799140+0 2.299120+3-4.853380+0 2.379830+3-4.134510+0360027506 1975 2.489750+3-3.287050+0 2.652990+3-2.438870+0 2.867930+3-1.660580+0360027506 1976 2.970770+3-1.396230+0 3.096290+3-1.100730+0 3.167350+3-9.827410-1360027506 1977 3.264980+3-8.506250-1 3.381560+3-7.080190-1 3.434700+3-6.692960-1360027506 1978 3.659270+3-5.319960-1 3.742650+3-4.936050-1 3.931060+3-4.235070-1360027506 1979 4.229490+3-3.603570-1 4.611690+3-3.064920-1 4.675390+3-3.104690-1360027506 1980 4.894130+3-3.420690-1 5.096290+3-3.651940-1 5.149050+3-3.749520-1360027506 1981 5.263490+3-4.008470-1 5.460460+3-4.373720-1 5.680190+3-4.848680-1360027506 1982 5.743710+3-5.039750-1 6.114330+3-5.874040-1 6.418500+3-6.725190-1360027506 1983 6.991140+3-8.045030-1 7.607460+3-9.556690-1 8.248701+3-1.133360+0360027506 1984 8.736031+3-1.277860+0 9.413911+3-1.466790+0 9.975020+3-1.653380+0360027506 1985 1.052680+4-1.835670+0 1.133560+4-2.157570+0 1.192240+4-2.448110+0360027506 1986 1.233740+4-2.699440+0 1.305620+4-3.334940+0 1.336590+4-3.742950+0360027506 1987 1.373980+4-4.533650+0 1.387580+4-5.009000+0 1.395560+4-5.406630+0360027506 1988 1.399400+4-5.652130+0 1.401970+4-5.841910+0 1.404330+4-6.034360+0360027506 1989 1.407150+4-6.287700+0 1.408430+4-6.410730+0 1.410210+4-6.585110+0360027506 1990 1.411840+4-6.750120+0 1.413800+4-6.947490+0 1.416300+4-7.188700+0360027506 1991 1.419040+4-7.426120+0 1.422120+4-7.634980+0 1.427690+4-7.769860+0360027506 1992 1.433260+4-7.586870+0 1.438410+4-7.168640+0 1.444000+4-6.575900+0360027506 1993 1.449610+4-5.983460+0 1.455570+4-5.415650+0 1.464320+4-4.809380+0360027506 1994 1.480710+4-4.082010+0 1.495510+4-3.610340+0 1.520170+4-3.011600+0360027506 1995 1.557830+4-2.354040+0 1.595500+4-1.889560+0 1.653970+4-1.355160+0360027506 1996 1.682050+4-1.145450+0 1.742860+4-7.998210-1 1.775930+4-6.569790-1360027506 1997 1.848610+4-3.818210-1 1.884900+4-2.610930-1 1.922820+4-1.663480-1360027506 1998 2.000000+4 1.688690-3 2.026900+4 6.101490-2 2.044510+4 9.231370-2360027506 1999 2.076790+4 1.298450-1 2.199390+4 3.220970-1 2.244950+4 3.835410-1360027506 2000 2.274800+4 4.144740-1 2.311900+4 4.329390-1 2.424240+4 5.163770-1360027506 2001 2.477930+4 5.307620-1 2.641790+4 6.068310-1 3.035660+4 6.470960-1360027506 2002 3.406770+4 6.362720-1 4.530550+4 5.382010-1 5.688070+4 4.244370-1360027506 2003 6.517590+4 3.595370-1 7.511790+4 2.996950-1 8.752270+4 2.442560-1360027506 2004 9.540210+4 2.165010-1 1.064030+5 1.841420-1 1.223530+5 1.483350-1360027506 2005 1.399390+5 1.197600-1 1.500000+5 1.067860-1 1.631340+5 9.273390-2360027506 2006 1.882240+5 7.219540-2 2.049710+5 6.210020-2 2.211170+5 5.416820-2360027506 2007 2.376870+5 4.744280-2 2.580890+5 4.072240-2 2.900500+5 3.238070-2360027506 2008 3.109840+5 2.814510-2 3.311840+5 2.470750-2 3.555900+5 2.129040-2360027506 2009 3.899580+5 1.747930-2 4.154440+5 1.512250-2 4.598630+5 1.189430-2360027506 2010 5.013840+5 9.626930-3 5.477230+5 7.539080-3 5.841390+5 6.240720-3360027506 2011 6.500640+5 4.416810-3 7.159520+5 3.072870-3 7.798130+5 2.083500-3360027506 2012 8.465560+5 1.279790-3 9.101570+5 6.708290-4 1.000000+6 0.000000+0360027506 2013 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0360027506 2014 360027 0 2015 3600 0 0 2016 0 0 0 2017 3.700000+4 8.473360+1 -1 0 0 13700 1451 1 0.000000+0 0.000000+0 0 0 0 63700 1451 2 0.000000+0 0.000000+0 0 0 3 63700 1451 3 0.000000+0 0.000000+0 0 0 124 253700 1451 4 37-RB- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3700 1451 6 ----ENDF/B-VI MATERIAL 3700 3700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3700 1451 8 ------ENDF-6 FORMAT 3700 1451 9 =================================================================3700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3700 1451 11 ENDF/B-VI FORMAT 3700 1451 12 =================================================================3700 1451 13 CONTENTS 3700 1451 14 =================================================================3700 1451 15 MF/MT DESCRIPTION 3700 1451 16 =================================================================3700 1451 17 23/501 TOTAL CROSS SECTION 3700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 36 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3700 1451 37 =================================================================3700 1451 38 27/502 COHERENT SCATTERING FORM FACTORS 3700 1451 39 27/504 INCOHERENT SCATTERING FUNCTIONS 3700 1451 40 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3700 1451 41 27/506 COHERENT REAL SCATTERING FACTOR 3700 1451 42 =================================================================3700 1451 43 WARNING 3700 1451 44 =================================================================3700 1451 45 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3700 1451 46 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3700 1451 47 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3700 1451 48 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3700 1451 49 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3700 1451 50 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3700 1451 51 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3700 1451 52 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3700 1451 53 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3700 1451 54 =================================================================3700 1451 55 DEFINITION OF NEW TYPES OF DATA 3700 1451 56 =================================================================3700 1451 57 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3700 1451 58 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3700 1451 59 3700 1451 60 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3700 1451 61 C2 FIELDS ARE, 3700 1451 62 3700 1451 63 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3700 1451 64 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3700 1451 65 3700 1451 66 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3700 1451 67 3700 1451 68 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3700 1451 69 3700 1451 70 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3700 1451 71 T = THE THOMSON CROSS SECTION 3700 1451 72 MU = THE COSINE OF THE SCATTERING ANGLE 3700 1451 73 FF(M) = THE ATOMIC FORM FACTOR 3700 1451 74 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3700 1451 75 F1(E) = THE REAL SCATTERING FACTOR 3700 1451 76 F2(E) = THE IMAGINARY SCATTERING FACTOR 3700 1451 77 3700 1451 78 F1(E) AND F2(E) ARE ISOTROPIC. 3700 1451 79 3700 1451 80 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3700 1451 81 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3700 1451 82 =================================================================3700 1451 83 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3700 1451 84 =================================================================3700 1451 85 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3700 1451 86 HERE - 10 EV TO 100 MEV 3700 1451 87 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3700 1451 88 - FLUORESCENCE AND ELECTRON SPECTRA 3700 1451 89 HERE - PHOTON INTERACTION 3700 1451 90 - AVERAGE FLUORESCENCE YIELD 3700 1451 91 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3700 1451 92 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3700 1451 93 HERE - NO SECONDARY ENERGY DATA 3700 1451 94 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3700 1451 95 INTERPOLABLE - SUMMATION CROSS SECTIONS 3700 1451 96 (E.G., TOTAL) ARE NOT INCLUDED 3700 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 3700 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3700 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3700 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 3700 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 3700 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 3700 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 3700 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3700 1451 105 =================================================================3700 1451 106 REFERENCES 3700 1451 107 =================================================================3700 1451 108 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3700 1451 109 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3700 1451 110 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3700 1451 111 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3700 1451 112 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3700 1451 113 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3700 1451 114 3700 1451 115 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3700 1451 116 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3700 1451 117 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3700 1451 118 OF THE DATA, ETC. 3700 1451 119 =================================================================3700 1451 120 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3700 1451 121 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3700 1451 122 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3700 1451 123 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3700 1451 124 *RECONSTRUCTED MT NUMBERS 3700 1451 125 516 =+(515,515)+(517,517) 3700 1451 126 522 =+(534,572) 3700 1451 127 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3700 1451 128 1 451 153 13700 1451 129 23 501 417 13700 1451 130 23 502 81 13700 1451 131 23 504 23 13700 1451 132 23 515 17 13700 1451 133 23 516 38 13700 1451 134 23 517 24 13700 1451 135 23 522 307 13700 1451 136 23 534 34 13700 1451 137 23 535 40 13700 1451 138 23 536 46 13700 1451 139 23 537 47 13700 1451 140 23 538 45 13700 1451 141 23 539 50 13700 1451 142 23 540 53 13700 1451 143 23 541 66 13700 1451 144 23 542 67 13700 1451 145 23 543 51 13700 1451 146 23 544 63 13700 1451 147 23 545 63 13700 1451 148 23 550 51 13700 1451 149 27 502 49 13700 1451 150 27 504 43 13700 1451 151 27 505 68 13700 1451 152 27 506 99 13700 1451 153 3700 1 0 154 3700 0 0 155 3.700000+4 8.473360+1 0 0 0 0370023501 156 0.000000+0 0.000000+0 0 0 1 1242370023501 157 1242 2 0 0 0 0370023501 158 1.000000+1 1.546920+4 1.046760+1 1.603670+4 1.089460+1 1.655500+4370023501 159 1.145650+1 1.723710+4 1.194900+1 1.783500+4 1.218810+1 1.812530+4370023501 160 1.252250+1 1.853140+4 1.316750+1 1.931480+4 1.377630+1 2.005450+4370023501 161 1.394860+1 2.026390+4 1.439200+1 2.080280+4 1.441330+1 2.081010+4370023501 162 1.501670+1 2.101700+4 1.555400+1 2.120190+4 1.582980+1 2.129700+4370023501 163 1.632400+1 2.112420+4 1.640000+1 2.109780+4 1.683370+1 2.094720+4370023501 164 1.723460+1 2.081070+4 1.758570+1 2.069260+4 1.776400+1 2.063330+4370023501 165 1.806050+1 2.053870+4 1.836200+1 2.044540+4 1.866100+1 2.036120+4370023501 166 1.886820+1 2.031340+4 1.907780+1 2.027240+4 1.920610+1 2.026170+4370023501 167 1.930650+1 2.026690+4 1.938570+1 2.028610+4 1.946040+1 2.032330+4370023501 168 1.955240+1 2.039700+4 1.966840+1 2.051080+4 1.973570+1 2.056110+4370023501 169 1.975000+1 2.056570+4 1.975000+1 7.936050+7 1.980300+1 7.796740+7370023501 170 1.980960+1 7.779400+7 1.987930+1 7.596200+7 1.998130+1 7.328090+7370023501 171 2.021040+1 6.725900+7 2.035370+1 6.349240+7 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2.518460+0 1.212200+2 2.632860+0370027505 1876 1.252410+2 2.816670+0 1.279620+2 3.003800+0 1.316250+2 3.337470+0370027505 1877 1.350440+2 3.752910+0 1.383560+2 4.248220+0 1.426170+2 5.098420+0370027505 1878 1.523900+2 7.640100+0 1.619140+2 9.760090+0 1.684250+2 1.078370+1370027505 1879 1.764600+2 1.169540+1 1.818570+2 1.206650+1 2.236180+2 1.341110+1370027505 1880 2.319620+2 1.357710+1 2.344150+2 1.381250+1 2.357960+2 1.426630+1370027505 1881 2.382940+2 1.556330+1 2.398690+2 1.610210+1 2.456740+2 1.640620+1370027505 1882 2.499700+2 1.701840+1 2.588990+2 1.703940+1 3.010510+2 1.689020+1370027505 1883 3.096370+2 1.691370+1 3.172540+2 1.807030+1 3.838830+2 1.696620+1370027505 1884 5.357920+2 1.374170+1 6.987240+2 1.105770+1 7.914870+2 9.846370+0370027505 1885 8.944270+2 8.712050+0 1.051010+3 7.345810+0 1.209320+3 6.264810+0370027505 1886 1.486280+3 4.932350+0 1.739950+3 4.060590+0 1.759670+3 4.016980+0370027505 1887 1.768940+3 4.062310+0 1.775180+3 4.207210+0 1.780370+3 4.479600+0370027505 1888 1.784680+3 4.866760+0 1.790310+3 5.655980+0 1.794790+3 6.543310+0370027505 1889 1.812560+3 1.107190+1 1.820110+3 1.263250+1 1.824700+3 1.329730+1370027505 1890 1.836150+3 1.414840+1 1.855390+3 1.524150+1 1.875710+3 1.752400+1370027505 1891 1.885990+3 1.832080+1 1.900800+3 1.869830+1 2.016140+3 1.757680+1370027505 1892 2.039570+3 1.813670+1 2.062000+3 1.926160+1 2.079000+3 1.957120+1370027505 1893 2.471320+3 1.536940+1 2.761660+3 1.307480+1 3.102670+3 1.103280+1370027505 1894 3.538540+3 9.027880+0 3.938030+3 7.639310+0 4.484950+3 6.241690+0370027505 1895 4.905100+3 5.394860+0 5.565340+3 4.390570+0 6.427960+3 3.465990+0370027505 1896 7.387540+3 2.749530+0 8.443580+3 2.193040+0 9.063191+3 1.940730+0370027505 1897 1.014030+4 1.607660+0 1.111170+4 1.376110+0 1.271860+4 1.092760+0370027505 1898 1.458550+4 8.561580-1 1.472990+4 8.435140-1 1.481460+4 8.496400-1370027505 1899 1.485530+4 8.711330-1 1.489550+4 9.216240-1 1.492320+4 9.846830-1370027505 1900 1.495130+4 1.082800+0 1.498750+4 1.275440+0 1.500830+4 1.426240+0370027505 1901 1.503480+4 1.666200+0 1.506390+4 1.991290+0 1.509660+4 2.426580+0370027505 1902 1.522970+4 4.458040+0 1.529130+4 5.162760+0 1.535040+4 5.575880+0370027505 1903 1.542510+4 5.804250+0 1.549640+4 5.852120+0 1.780990+4 4.698270+0370027505 1904 2.018690+4 3.858580+0 2.323500+4 3.054380+0 2.647330+4 2.428500+0370027505 1905 2.871890+4 2.106460+0 3.142620+4 1.795470+0 3.610940+4 1.400840+0370027505 1906 3.882850+4 1.226750+0 4.276320+4 1.024060+0 4.731160+4 8.476370-1370027505 1907 5.175790+4 7.172390-1 5.498330+4 6.414430-1 5.868070+4 5.683310-1370027505 1908 6.395620+4 4.811870-1 6.874940+4 4.169790-1 7.447229+4 3.567660-1370027505 1909 7.886970+4 3.185240-1 8.487020+4 2.763600-1 9.101570+4 2.409260-1370027505 1910 9.727450+4 2.116330-1 1.051990+5 1.812050-1 1.182690+5 1.440000-1370027505 1911 1.294100+5 1.206760-1 1.376470+5 1.070080-1 1.462870+5 9.492730-2370027505 1912 1.558990+5 8.374090-2 1.681800+5 7.229450-2 1.785380+5 6.433270-2370027505 1913 1.973100+5 5.297220-2 2.211170+5 4.256300-2 2.379280+5 3.686780-2370027505 1914 2.519330+5 3.299880-2 2.710810+5 2.867380-2 2.851740+5 2.605720-2370027505 1915 3.054430+5 2.303460-2 3.292420+5 2.013930-2 3.515060+5 1.789300-2370027505 1916 3.793150+5 1.563340-2 4.030490+5 1.404620-2 4.598630+5 1.133490-2370027505 1917 5.071490+5 9.699880-3 5.507460+5 8.504210-3 5.882690+5 7.745200-3370027505 1918 6.433520+5 6.824670-3 7.085680+5 5.966200-3 7.798130+5 5.306610-3370027505 1919 9.101570+5 4.417530-3 9.806780+5 1.220940-3 1.000000+6 0.000000+0370027505 1920 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0370027505 1921 370027 0 1922 3.700000+4 8.473360+1 0 0 0 0370027506 1923 0.000000+0 3.700000+1 0 0 1 286370027506 1924 286 2 0 0 0 0370027506 1925 1.000000+1-3.812290+1 1.392000+1-3.980290+1 1.441330+1-4.016660+1370027506 1926 1.582980+1-4.145980+1 1.683370+1-4.284630+1 1.776400+1-4.492610+1370027506 1927 1.836200+1-4.709820+1 1.866100+1-4.867170+1 1.907780+1-5.206700+1370027506 1928 1.916630+1-5.316430+1 1.920610+1-5.373390+1 1.924310+1-5.432080+1370027506 1929 1.926640+1-5.472320+1 1.927770+1-5.492830+1 1.929240+1-5.520560+1370027506 1930 1.930650+1-5.548670+1 1.932030+1-5.577200+1 1.933360+1-5.606090+1370027506 1931 1.934650+1-5.635330+1 1.935900+1-5.664910+1 1.937710+1-5.709590+1370027506 1932 1.939430+1-5.754680+1 1.941070+1-5.800410+1 1.943160+1-5.862330+1370027506 1933 1.945120+1-5.923560+1 1.946960+1-5.983680+1 1.949500+1-6.068940+1370027506 1934 1.951070+1-6.124010+1 1.953970+1-6.223730+1 1.956520+1-6.310830+1370027506 1935 1.958750+1-6.385150+1 1.962560+1-6.494910+1 1.966840+1-6.589980+1370027506 1936 1.973570+1-6.645220+1 1.980300+1-6.573840+1 1.987930+1-6.363570+1370027506 1937 1.995490+1-6.074180+1 2.000770+1-5.862310+1 2.010760+1-5.527840+1370027506 1938 2.021040+1-5.302380+1 2.035370+1-5.144850+1 2.047280+1-5.120440+1370027506 1939 2.056080+1-5.139380+1 2.065820+1-5.116570+1 2.071410+1-5.076210+1370027506 1940 2.078320+1-4.967990+1 2.087350+1-4.762450+1 2.093030+1-4.615120+1370027506 1941 2.101180+1-4.395160+1 2.109370+1-4.201470+1 2.117780+1-4.043460+1370027506 1942 2.142990+1-3.706750+1 2.177510+1-3.382220+1 2.219010+1-3.140650+1370027506 1943 2.270190+1-2.957660+1 2.301900+1-2.885310+1 2.369380+1-2.776810+1370027506 1944 2.438390+1-2.713710+1 2.503240+1-2.692520+1 2.596670+1-2.691650+1370027506 1945 2.636370+1-2.693820+1 2.752400+1-2.714430+1 2.873530+1-2.743850+1370027506 1946 3.013180+1-2.781910+1 3.171270+1-2.823570+1 3.358130+1-2.865810+1370027506 1947 3.533090+1-2.903420+1 3.649690+1-2.933640+1 3.730610+1-2.949260+1370027506 1948 3.794450+1-2.960460+1 4.000000+1-2.992100+1 4.229490+1-3.023280+1370027506 1949 4.479940+1-3.053840+1 4.659150+1-3.074100+1 5.029870+1-3.108500+1370027506 1950 5.501170+1-3.141420+1 6.120190+1-3.174120+1 7.267180+1-3.214160+1370027506 1951 8.111950+1-3.246890+1 1.075220+2-3.380510+1 1.158530+2-3.465660+1370027506 1952 1.168560+2-3.485430+1 1.183360+2-3.508130+1 1.196670+2-3.516950+1370027506 1953 1.212200+2-3.524890+1 1.252410+2-3.559540+1 1.279620+2-3.591690+1370027506 1954 1.316250+2-3.638020+1 1.350440+2-3.684170+1 1.383560+2-3.730840+1370027506 1955 1.426170+2-3.783210+1 1.472310+2-3.820360+1 1.523900+2-3.822090+1370027506 1956 1.577490+2-3.784940+1 1.619140+2-3.740260+1 1.684250+2-3.659290+1370027506 1957 1.764600+2-3.549940+1 1.818570+2-3.482980+1 2.049250+2-3.289540+1370027506 1958 2.236180+2-3.216740+1 2.319620+2-3.245220+1 2.344150+2-3.296180+1370027506 1959 2.357960+2-3.329730+1 2.382940+2-3.317030+1 2.398690+2-3.261180+1370027506 1960 2.424020+2-3.189080+1 2.456740+2-3.157600+1 2.499700+2-3.075990+1370027506 1961 2.588990+2-2.931710+1 2.776620+2-2.744530+1 3.010510+2-2.595100+1370027506 1962 3.096370+2-2.597790+1 3.132540+2-2.603320+1 3.172540+2-2.536830+1370027506 1963 3.266020+2-2.405120+1 3.575870+2-2.166460+1 3.838830+2-2.014830+1370027506 1964 4.229490+2-1.825910+1 4.728710+2-1.654670+1 5.357920+2-1.488830+1370027506 1965 6.170210+2-1.351880+1 6.987240+2-1.259840+1 7.914870+2-1.197240+1370027506 1966 8.944270+2-1.162570+1 1.051010+3-1.143390+1 1.209320+3-1.178320+1370027506 1967 1.369440+3-1.257080+1 1.486280+3-1.354800+1 1.560410+3-1.445680+1370027506 1968 1.646650+3-1.609150+1 1.689770+3-1.731750+1 1.739950+3-1.959280+1370027506 1969 1.759670+3-2.113110+1 1.768940+3-2.217920+1 1.775180+3-2.306660+1370027506 1970 1.780370+3-2.392390+1 1.784680+3-2.469090+1 1.787150+3-2.513640+1370027506 1971 1.790310+3-2.568380+1 1.794790+3-2.637150+1 1.798910+3-2.683780+1370027506 1972 1.806230+3-2.718400+1 1.812560+3-2.698120+1 1.820110+3-2.625280+1370027506 1973 1.824700+3-2.562710+1 1.836150+3-2.446240+1 1.845980+3-2.394580+1370027506 1974 1.855390+3-2.375620+1 1.867560+3-2.330660+1 1.875710+3-2.260020+1370027506 1975 1.885990+3-2.128610+1 1.900800+3-1.959500+1 1.910120+3-1.869010+1370027506 1976 1.933440+3-1.719510+1 1.966080+3-1.573640+1 1.991370+3-1.499480+1370027506 1977 2.016140+3-1.473760+1 2.031500+3-1.482550+1 2.039570+3-1.484100+1370027506 1978 2.048320+3-1.467210+1 2.062000+3-1.398360+1 2.079000+3-1.285530+1370027506 1979 2.103980+3-1.158010+1 2.128230+3-1.067120+1 2.184870+3-9.048380+0370027506 1980 2.251280+3-7.748420+0 2.338000+3-6.393330+0 2.471320+3-4.931740+0370027506 1981 2.528320+3-4.417340+0 2.578990+3-4.060040+0 2.692430+3-3.311210+0370027506 1982 2.761660+3-2.940310+0 2.948090+3-2.182110+0 3.000590+3-2.019340+0370027506 1983 3.102670+3-1.714310+0 3.238860+3-1.355520+0 3.276110+3-1.272150+0370027506 1984 3.363530+3-1.112450+0 3.508080+3-8.899640-1 3.538540+3-8.542700-1370027506 1985 3.865770+3-5.738880-1 3.938030+3-5.321390-1 4.122580+3-4.468360-1370027506 1986 4.207960+3-4.133830-1 4.416700+3-3.663980-1 4.484950+3-3.548010-1370027506 1987 4.803060+3-3.190520-1 4.905100+3-3.188810-1 5.115240+3-3.361220-1370027506 1988 5.337610+3-3.515580-1 5.481400+3-3.664050-1 5.565340+3-3.810710-1370027506 1989 5.751130+3-4.080170-1 6.181640+3-4.869940-1 6.427960+3-5.384540-1370027506 1990 6.698000+3-6.090330-1 7.387540+3-7.677810-1 7.790400+3-8.698850-1370027506 1991 8.443580+3-1.020520+0 9.063191+3-1.196730+0 9.751911+3-1.379550+0370027506 1992 1.014030+4-1.491830+0 1.111170+4-1.788850+0 1.205760+4-2.147950+0370027506 1993 1.271860+4-2.464430+0 1.312620+4-2.705530+0 1.382470+4-3.272990+0370027506 1994 1.418870+4-3.725180+0 1.458550+4-4.514580+0 1.472990+4-4.989350+0370027506 1995 1.481460+4-5.386440+0 1.485530+4-5.631490+0 1.489550+4-5.916600+0370027506 1996 1.492320+4-6.140260+0 1.495130+4-6.388480+0 1.497020+4-6.562430+0370027506 1997 1.498750+4-6.727020+0 1.500830+4-6.923850+0 1.503480+4-7.164260+0370027506 1998 1.506390+4-7.400600+0 1.509660+4-7.606700+0 1.516310+4-7.738600+0370027506 1999 1.522970+4-7.479790+0 1.529130+4-6.951720+0 1.535040+4-6.347640+0370027506 2000 1.542510+4-5.652130+0 1.549640+4-5.102850+0 1.563000+4-4.395560+0370027506 2001 1.586380+4-3.608060+0 1.603920+4-3.180230+0 1.633160+4-2.640350+0370027506 2002 1.656520+4-2.306880+0 1.718760+4-1.643680+0 1.749870+4-1.384790+0370027506 2003 1.780990+4-1.181740+0 1.856190+4-7.776650-1 1.888800+4-6.276260-1370027506 2004 1.925770+4-4.996150-1 2.018690+4-2.148170-1 2.065660+4-8.826340-2370027506 2005 2.089150+4-3.572650-2 2.112290+4-1.094990-3 2.145900+4 4.933250-2370027506 2006 2.247780+4 2.348110-1 2.280520+4 2.882420-1 2.323500+4 3.487010-1370027506 2007 2.358030+4 3.850460-1 2.389620+4 4.010190-1 2.553990+4 5.148590-1370027506 2008 2.647330+4 5.588860-1 2.720800+4 5.700480-1 2.871890+4 6.244530-1370027506 2009 3.405130+4 6.486350-1 3.882850+4 6.227280-1 4.276320+4 5.928250-1370027506 2010 5.498330+4 4.694720-1 6.874940+4 3.671820-1 7.886970+4 3.068970-1370027506 2011 9.101570+4 2.514200-1 1.051990+5 2.037270-1 1.182690+5 1.703010-1370027506 2012 1.376470+5 1.342910-1 1.558990+5 1.095840-1 1.785380+5 8.688510-2370027506 2013 1.973100+5 7.341210-2 2.211170+5 5.990440-2 2.519330+5 4.704200-2370027506 2014 2.851740+5 3.695440-2 3.054430+5 3.223130-2 3.292420+5 2.773140-2370027506 2015 3.515060+5 2.421870-2 3.793150+5 2.058340-2 4.030490+5 1.791930-2370027506 2016 4.283380+5 1.563410-2 4.598630+5 1.318340-2 5.071490+5 1.037990-2370027506 2017 5.507460+5 8.237130-3 5.882690+5 6.785340-3 6.433520+5 5.073770-3370027506 2018 7.085680+5 3.554440-3 7.798130+5 2.311080-3 8.465560+5 1.418360-3370027506 2019 9.101570+5 7.448260-4 9.806780+5 1.579360-4 1.000000+6 0.000000+0370027506 2020 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0370027506 2021 370027 0 2022 3700 0 0 2023 0 0 0 2024 3.800000+4 8.686740+1 -1 0 0 13800 1451 1 0.000000+0 0.000000+0 0 0 0 63800 1451 2 0.000000+0 0.000000+0 0 0 3 63800 1451 3 0.000000+0 0.000000+0 0 0 124 253800 1451 4 38-SR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3800 1451 6 ----ENDF/B-VI MATERIAL 3800 3800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3800 1451 8 ------ENDF-6 FORMAT 3800 1451 9 =================================================================3800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3800 1451 11 ENDF/B-VI FORMAT 3800 1451 12 =================================================================3800 1451 13 CONTENTS 3800 1451 14 =================================================================3800 1451 15 MF/MT DESCRIPTION 3800 1451 16 =================================================================3800 1451 17 23/501 TOTAL CROSS SECTION 3800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 36 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3800 1451 37 =================================================================3800 1451 38 27/502 COHERENT SCATTERING FORM FACTORS 3800 1451 39 27/504 INCOHERENT SCATTERING FUNCTIONS 3800 1451 40 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3800 1451 41 27/506 COHERENT REAL SCATTERING FACTOR 3800 1451 42 =================================================================3800 1451 43 WARNING 3800 1451 44 =================================================================3800 1451 45 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3800 1451 46 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3800 1451 47 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3800 1451 48 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3800 1451 49 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3800 1451 50 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3800 1451 51 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3800 1451 52 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3800 1451 53 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3800 1451 54 =================================================================3800 1451 55 DEFINITION OF NEW TYPES OF DATA 3800 1451 56 =================================================================3800 1451 57 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3800 1451 58 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3800 1451 59 3800 1451 60 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3800 1451 61 C2 FIELDS ARE, 3800 1451 62 3800 1451 63 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3800 1451 64 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3800 1451 65 3800 1451 66 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3800 1451 67 3800 1451 68 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3800 1451 69 3800 1451 70 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3800 1451 71 T = THE THOMSON CROSS SECTION 3800 1451 72 MU = THE COSINE OF THE SCATTERING ANGLE 3800 1451 73 FF(M) = THE ATOMIC FORM FACTOR 3800 1451 74 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3800 1451 75 F1(E) = THE REAL SCATTERING FACTOR 3800 1451 76 F2(E) = THE IMAGINARY SCATTERING FACTOR 3800 1451 77 3800 1451 78 F1(E) AND F2(E) ARE ISOTROPIC. 3800 1451 79 3800 1451 80 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3800 1451 81 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3800 1451 82 =================================================================3800 1451 83 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3800 1451 84 =================================================================3800 1451 85 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3800 1451 86 HERE - 10 EV TO 100 MEV 3800 1451 87 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3800 1451 88 - FLUORESCENCE AND ELECTRON SPECTRA 3800 1451 89 HERE - PHOTON INTERACTION 3800 1451 90 - AVERAGE FLUORESCENCE YIELD 3800 1451 91 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3800 1451 92 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3800 1451 93 HERE - NO SECONDARY ENERGY DATA 3800 1451 94 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3800 1451 95 INTERPOLABLE - SUMMATION CROSS SECTIONS 3800 1451 96 (E.G., TOTAL) ARE NOT INCLUDED 3800 1451 97 - FORM FACTORS ARE LOG X VS. LOG Y 3800 1451 98 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3800 1451 99 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3800 1451 100 ORDER TO ALLOW CROSS SECTIONS DEFINED 3800 1451 101 BY SUMMATION (E.G., TOTAL) TO BE 3800 1451 102 CONSISTENTLY DEFINED AT ALL ENERGIES. 3800 1451 103 - FORM FACTORS ARE LOG X VS. LOG Y 3800 1451 104 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3800 1451 105 =================================================================3800 1451 106 REFERENCES 3800 1451 107 =================================================================3800 1451 108 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3800 1451 109 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3800 1451 110 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3800 1451 111 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3800 1451 112 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3800 1451 113 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3800 1451 114 3800 1451 115 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3800 1451 116 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3800 1451 117 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3800 1451 118 OF THE DATA, ETC. 3800 1451 119 =================================================================3800 1451 120 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3800 1451 121 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3800 1451 122 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3800 1451 123 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3800 1451 124 *RECONSTRUCTED MT NUMBERS 3800 1451 125 516 =+(515,515)+(517,517) 3800 1451 126 522 =+(534,572) 3800 1451 127 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3800 1451 128 1 451 153 13800 1451 129 23 501 405 13800 1451 130 23 502 78 13800 1451 131 23 504 24 13800 1451 132 23 515 17 13800 1451 133 23 516 38 13800 1451 134 23 517 24 13800 1451 135 23 522 297 13800 1451 136 23 534 33 13800 1451 137 23 535 40 13800 1451 138 23 536 46 13800 1451 139 23 537 47 13800 1451 140 23 538 44 13800 1451 141 23 539 49 13800 1451 142 23 540 51 13800 1451 143 23 541 65 13800 1451 144 23 542 65 13800 1451 145 23 543 49 13800 1451 146 23 544 58 13800 1451 147 23 545 59 13800 1451 148 23 550 54 13800 1451 149 27 502 50 13800 1451 150 27 504 43 13800 1451 151 27 505 65 13800 1451 152 27 506 93 13800 1451 153 3800 1 0 154 3800 0 0 155 3.800000+4 8.686740+1 0 0 0 0380023501 156 0.000000+0 0.000000+0 0 0 1 1205380023501 157 1205 2 0 0 0 0380023501 158 1.000000+1 5.722360+3 1.049080+1 7.614630+3 1.053300+1 7.823380+3380023501 159 1.105370+1 1.039920+4 1.122910+1 1.150750+4 1.154780+1 1.352140+4380023501 160 1.177200+1 1.493810+4 1.207220+1 1.723110+4 1.234480+1 1.931320+4380023501 161 1.317830+1 2.681080+4 1.347910+1 2.951660+4 1.402800+1 3.481430+4380023501 162 1.407860+1 3.530260+4 1.500000+1 4.419550+4 1.603440+1 5.203450+4380023501 163 1.611850+1 5.267180+4 1.688500+1 5.693880+4 1.688590+1 5.694380+4380023501 164 1.701190+1 5.764520+4 1.790990+1 6.094790+4 1.844550+1 6.291780+4380023501 165 1.933920+1 6.455970+4 1.988080+1 6.555480+4 2.003770+1 6.584310+4380023501 166 2.113320+1 6.785630+4 2.158810+1 6.869250+4 2.228850+1 6.967230+4380023501 167 2.304470+1 7.073160+4 2.309400+1 7.080070+4 2.330240+1 7.109280+4380023501 168 2.372440+1 7.120870+4 2.437170+1 7.138730+4 2.503670+1 7.157210+4380023501 169 2.530160+1 7.164810+4 2.570410+1 7.176520+4 2.611310+1 7.188670+4380023501 170 2.636600+1 7.196870+4 2.649760+1 7.201370+4 2.663040+1 7.206370+4380023501 171 2.675280+1 7.211610+4 2.687800+1 7.217910+4 2.708850+1 7.229750+4380023501 172 2.719750+1 7.235200+4 2.720000+1 7.235300+4 2.720000+1 1.447990+7380023501 173 2.730660+1 1.424840+7 2.743030+1 1.397980+7 2.773720+1 1.331340+7380023501 174 2.775630+1 1.327200+7 2.799990+1 1.274300+7 2.814920+1 1.241890+7380023501 175 2.838330+1 1.191060+7 2.842000+1 1.183100+7 2.847000+1 1.172230+7380023501 176 2.847000+1 1.875790+7 2.856570+1 1.845460+7 2.859640+1 1.837360+7380023501 177 2.868280+1 1.814560+7 2.887490+1 1.763850+7 2.920820+1 1.675880+7380023501 178 2.978810+1 1.522820+7 3.000000+1 1.466900+7 3.083430+1 1.312760+7380023501 179 3.119120+1 1.246820+7 3.144030+1 1.200800+7 3.175860+1 1.146830+7380023501 180 3.255960+1 1.033790+7 3.262100+1 1.025120+7 3.282250+1 9.966880+6380023501 181 3.338180+1 9.247900+6 3.437400+1 8.160680+6 3.459570+1 7.917750+6380023501 182 3.487000+1 7.644720+6 3.622560+1 6.503900+6 3.631790+1 6.433700+6380023501 183 3.683640+1 6.039340+6 3.722420+1 5.791390+6 3.843030+1 5.019920+6380023501 184 3.856720+1 4.939870+6 3.897290+1 4.738810+6 3.971560+1 4.370730+6380023501 185 3.999640+1 4.243270+6 4.059050+1 3.973600+6 4.206910+1 3.397480+6380023501 186 4.217740+1 3.359740+6 4.283460+1 3.165700+6 4.464230+1 2.631990+6380023501 187 4.467470+1 2.623280+6 4.485060+1 2.584520+6 4.592870+1 2.346950+6380023501 188 4.639000+1 2.245300+6 4.639000+1 2.375500+6 4.648650+1 2.354890+6380023501 189 4.695650+1 2.262990+6 4.732000+1 2.191920+6 4.880030+1 1.961590+6380023501 190 5.000000+1 1.793850+6 5.086200+1 1.697440+6 5.308250+1 1.475070+6380023501 191 5.480580+1 1.342750+6 5.505920+1 1.323290+6 5.587550+1 1.259470+6380023501 192 5.654240+1 1.218120+6 5.732660+1 1.169650+6 5.864810+1 1.101880+6380023501 193 6.000000+1 1.038860+6 6.001550+1 1.038360+6 6.158410+1 9.879810+5380023501 194 6.357060+1 9.208930+5 6.480740+1 8.829010+5 6.640090+1 8.468920+5380023501 195 6.735370+1 8.255320+5 6.739150+1 8.248100+5 6.754180+1 8.219370+5380023501 196 7.000000+1 7.716430+5 7.730510+1 6.834410+5 7.737350+1 6.826260+5380023501 197 7.759210+1 6.814590+5 7.773350+1 6.807030+5 8.738850+1 6.148800+5380023501 198 9.000000+1 6.005390+5 9.189090+1 5.940220+5 9.486830+1 5.837610+5380023501 199 9.744540+1 5.737990+5 1.000000+2 5.639240+5 1.022600+2 5.565030+5380023501 200 1.104000+2 5.304060+5 1.125390+2 5.235480+5 1.161900+2 5.120750+5380023501 201 1.221560+2 4.956710+5 1.299260+2 4.763490+5 1.307180+2 4.744240+5380023501 202 1.312690+2 4.730850+5 1.355400+2 4.627070+5 1.417390+2 4.481950+5380023501 203 1.430100+2 4.452210+5 1.430100+2 6.842600+5 1.432360+2 6.857760+5380023501 204 1.449300+2 6.971440+5 1.449300+2 8.622710+5 1.456400+2 8.699440+5380023501 205 1.458700+2 8.724300+5 1.474650+2 9.062730+5 1.478300+2 9.169780+5380023501 206 1.490600+2 9.752010+5 1.500000+2 1.022980+6 1.505040+2 1.048610+6380023501 207 1.507150+2 1.061560+6 1.521790+2 1.151410+6 1.528350+2 1.194260+6380023501 208 1.547200+2 1.335110+6 1.560080+2 1.431350+6 1.568390+2 1.497540+6380023501 209 1.580270+2 1.602100+6 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2.862060+4 2.343870+0 3.197090+4 1.932570+0 3.389300+4 1.738720+0380027505 1864 3.856300+4 1.384480+0 4.178060+4 1.197340+0 4.532080+4 1.028580+0380027505 1865 4.794540+4 9.252710-1 5.270230+4 7.735660-1 5.868070+4 6.316700-1380027505 1866 6.364240+4 5.418640-1 6.874940+4 4.693730-1 7.337390+4 4.151750-1380027505 1867 7.886970+4 3.611180-1 8.487020+4 3.122060-1 9.167729+4 2.683690-1380027505 1868 9.826190+4 2.345810-1 1.051990+5 2.049160-1 1.133170+5 1.771720-1380027505 1869 1.218350+5 1.536960-1 1.312290+5 1.328740-1 1.426650+5 1.126930-1380027505 1870 1.507770+5 1.010400-1 1.620290+5 8.788510-2 1.773480+5 7.397220-2380027505 1871 1.892610+5 6.507110-2 2.051330+5 5.575490-2 2.211170+5 4.823030-2380027505 1872 2.379280+5 4.179830-2 2.515410+5 3.753290-2 2.710810+5 3.254210-2380027505 1873 2.851740+5 2.958220-2 3.027790+5 2.655390-2 3.246080+5 2.344600-2380027505 1874 3.497450+5 2.050250-2 3.793150+5 1.777610-2 4.033090+5 1.596170-2380027505 1875 4.598630+5 1.289990-2 5.057890+5 1.108640-2 5.507460+5 9.685640-3380027505 1876 5.882690+5 8.822870-3 6.447420+5 7.755180-3 7.088130+5 6.797310-3380027505 1877 7.816480+5 6.032870-3 9.101570+5 5.036150-3 9.806780+5 1.388090-3380027505 1878 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0380027505 1879 380027 0 1880 3.800000+4 8.686740+1 0 0 0 0380027506 1881 0.000000+0 3.800000+1 0 0 1 269380027506 1882 269 2 0 0 0 0380027506 1883 1.000000+1-3.849100+1 1.030940+1-3.854080+1 1.053300+1-3.857640+1380027506 1884 1.105370+1-3.865900+1 1.177200+1-3.877240+1 1.238010+1-3.886780+1380027506 1885 1.402800+1-3.910730+1 1.500000+1-3.928930+1 1.639480+1-3.953800+1380027506 1886 1.844550+1-3.998890+1 2.228850+1-4.145150+1 2.330240+1-4.219830+1380027506 1887 2.503670+1-4.406740+1 2.611310+1-4.663470+1 2.645090+1-4.818630+1380027506 1888 2.654440+1-4.878750+1 2.660350+1-4.923200+1 2.665730+1-4.969140+1380027506 1889 2.668230+1-4.992450+1 2.670620+1-5.015950+1 2.672900+1-5.039510+1380027506 1890 2.675280+1-5.065350+1 2.677850+1-5.095470+1 2.680440+1-5.127220+1380027506 1891 2.682880+1-5.158180+1 2.686250+1-5.201910+1 2.689350+1-5.243150+1380027506 1892 2.693060+1-5.292300+1 2.697800+1-5.352210+1 2.703000+1-5.411020+1380027506 1893 2.708850+1-5.462540+1 2.719750+1-5.497560+1 2.730660+1-5.450460+1380027506 1894 2.743030+1-5.322300+1 2.750100+1-5.228430+1 2.762860+1-5.078170+1380027506 1895 2.775630+1-4.958670+1 2.799990+1-4.857320+1 2.814920+1-4.856820+1380027506 1896 2.829210+1-4.863880+1 2.847480+1-4.824750+1 2.859640+1-4.745350+1380027506 1897 2.868280+1-4.661420+1 2.880250+1-4.539940+1 2.894750+1-4.404960+1380027506 1898 2.920820+1-4.210000+1 2.978810+1-3.952290+1 3.119120+1-3.624390+1380027506 1899 3.262100+1-3.448890+1 3.437400+1-3.326710+1 3.631790+1-3.257750+1380027506 1900 3.897290+1-3.220510+1 4.157740+1-3.212290+1 4.283460+1-3.219600+1380027506 1901 4.510740+1-3.240800+1 4.592870+1-3.259380+1 4.695650+1-3.265610+1380027506 1902 5.038530+1-3.273120+1 5.308250+1-3.286810+1 5.654240+1-3.303710+1380027506 1903 6.001550+1-3.322570+1 6.568920+1-3.343870+1 7.000000+1-3.363620+1380027506 1904 7.773350+1-3.391870+1 9.157680+1-3.427930+1 1.221560+2-3.531910+1380027506 1905 1.398800+2-3.668820+1 1.417390+2-3.702540+1 1.432360+2-3.729870+1380027506 1906 1.456400+2-3.754620+1 1.507150+2-3.803090+1 1.547200+2-3.850640+1380027506 1907 1.597960+2-3.904310+1 1.689630+2-3.970760+1 1.822990+2-3.972620+1380027506 1908 1.878990+2-3.936320+1 1.953490+2-3.875440+1 2.062780+2-3.748960+1380027506 1909 2.144520+2-3.646290+1 2.268980+2-3.496880+1 2.391360+2-3.377150+1380027506 1910 2.521900+2-3.298280+1 2.635960+2-3.310200+1 2.664810+2-3.358260+1380027506 1911 2.684200+2-3.393880+1 2.717370+2-3.358810+1 2.747050+2-3.285230+1380027506 1912 2.785620+2-3.249820+1 2.834540+2-3.167930+1 2.895080+2-3.052360+1380027506 1913 3.109640+2-2.824260+1 3.375260+2-2.646430+1 3.463570+2-2.650380+1380027506 1914 3.503190+2-2.656030+1 3.541060+2-2.598140+1 3.613780+2-2.484750+1380027506 1915 3.854850+2-2.270750+1 4.162820+2-2.072490+1 4.666080+2-1.843770+1380027506 1916 5.197120+2-1.654370+1 5.738510+2-1.519520+1 6.480740+2-1.387870+1380027506 1917 7.244540+2-1.294190+1 8.214330+2-1.213170+1 9.510800+2-1.160340+1380027506 1918 1.082250+3-1.135800+1 1.231060+3-1.154600+1 1.421550+3-1.218790+1380027506 1919 1.545160+3-1.303020+1 1.650280+3-1.407290+1 1.697820+3-1.474460+1380027506 1920 1.771860+3-1.608100+1 1.818280+3-1.731150+1 1.872290+3-1.960440+1380027506 1921 1.892550+3-2.105840+1 1.903640+3-2.222860+1 1.910330+3-2.312880+1380027506 1922 1.915890+3-2.399710+1 1.920510+3-2.477210+1 1.923160+3-2.522160+1380027506 1923 1.926550+3-2.577270+1 1.930260+3-2.632050+1 1.935080+3-2.687330+1380027506 1924 1.942810+3-2.723670+1 1.949520+3-2.703580+1 1.956470+3-2.643720+1380027506 1925 1.962640+3-2.568970+1 1.969180+3-2.489030+1 1.982260+3-2.384500+1380027506 1926 1.992790+3-2.359720+1 2.003820+3-2.354770+1 2.020500+3-2.256720+1380027506 1927 2.028220+3-2.176900+1 2.035630+3-2.088810+1 2.053930+3-1.892510+1380027506 1928 2.077020+3-1.739250+1 2.099980+3-1.631480+1 2.144730+3-1.493690+1380027506 1929 2.172690+3-1.481120+1 2.191040+3-1.484300+1 2.206290+3-1.448300+1380027506 1930 2.225430+3-1.341880+1 2.243470+3-1.234140+1 2.267090+3-1.133960+1380027506 1931 2.293120+3-1.048240+1 2.349790+3-9.114930+0 2.414900+3-7.817990+0380027506 1932 2.464100+3-7.042580+0 2.542140+3-6.033320+0 2.652500+3-4.903240+0380027506 1933 2.762050+3-4.020730+0 2.812750+3-3.676760+0 2.978760+3-2.789420+0380027506 1934 3.045380+3-2.485240+0 3.223710+3-1.906180+0 3.311840+3-1.689170+0380027506 1935 3.470160+3-1.340760+0 3.575870+3-1.176200+0 3.689100+3-1.011770+0380027506 1936 3.772380+3-8.824980-1 3.878460+3-7.640290-1 3.941610+3-7.102140-1380027506 1937 4.012620+3-6.369020-1 4.189140+3-4.766420-1 4.233840+3-4.530980-1380027506 1938 4.401540+3-3.782610-1 4.535390+3-3.400130-1 4.582410+3-3.311430-1380027506 1939 4.803060+3-3.237000-1 5.247920+3-2.902560-1 5.281230+3-2.911350-1380027506 1940 5.374330+3-3.036020-1 5.894280+3-3.506440-1 6.000000+3-3.593440-1380027506 1941 6.108860+3-3.747190-1 6.418800+3-4.086710-1 6.595350+3-4.412830-1380027506 1942 6.739290+3-4.771510-1 7.193991+3-5.828790-1 7.586300+3-6.813510-1380027506 1943 8.226281+3-8.322020-1 8.959880+3-9.973550-1 9.599020+3-1.161860+0380027506 1944 1.054710+4-1.393580+0 1.162220+4-1.712810+0 1.268090+4-2.083790+0380027506 1945 1.344590+4-2.427850+0 1.388110+4-2.666150+0 1.465270+4-3.259290+0380027506 1946 1.503850+4-3.711120+0 1.545920+4-4.501500+0 1.561220+4-4.976570+0380027506 1947 1.570190+4-5.373740+0 1.574520+4-5.618840+0 1.578770+4-5.903950+0380027506 1948 1.581700+4-6.127610+0 1.584680+4-6.375840+0 1.586680+4-6.549820+0380027506 1949 1.588520+4-6.714440+0 1.590720+4-6.911330+0 1.593540+4-7.151870+0380027506 1950 1.596620+4-7.388660+0 1.600090+4-7.596880+0 1.606460+4-7.731740+0380027506 1951 1.612820+4-7.540260+0 1.618720+4-7.109410+0 1.624380+4-6.575020+0380027506 1952 1.631530+4-5.911570+0 1.638350+4-5.348140+0 1.647790+4-4.775850+0380027506 1953 1.665480+4-4.077330+0 1.696450+4-3.270170+0 1.719670+4-2.830230+0380027506 1954 1.754500+4-2.319320+0 1.789330+4-1.940630+0 1.851170+4-1.422230+0380027506 1955 1.884260+4-1.194490+0 1.918370+4-1.002260+0 1.995260+4-6.397760-1380027506 1956 2.118020+4-2.498840-1 2.165690+4-1.170690-1 2.189520+4-6.004310-2380027506 1957 2.286570+4 1.159320-1 2.299120+4 1.388390-1 2.340810+4 2.073290-1380027506 1958 2.372680+4 2.469160-1 2.398550+4 2.626220-1 2.533460+4 4.138030-1380027506 1959 2.600890+4 4.704690-1 2.624580+4 4.786900-1 2.639790+4 4.786760-1380027506 1960 2.786460+4 5.525720-1 2.862060+4 5.624650-1 3.073610+4 6.305600-1380027506 1961 3.389300+4 6.499360-1 4.178060+4 6.205710-1 5.868070+4 4.666480-1380027506 1962 6.874940+4 3.892600-1 7.886970+4 3.293490-1 9.167729+4 2.696090-1380027506 1963 1.051990+5 2.215700-1 1.218350+5 1.775040-1 1.312290+5 1.582530-1380027506 1964 1.507770+5 1.265930-1 1.620290+5 1.125050-1 1.773480+5 9.679290-2380027506 1965 1.892610+5 8.651160-2 2.051330+5 7.515100-2 2.211170+5 6.578880-2380027506 1966 2.515410+5 5.184670-2 2.851740+5 4.065350-2 3.027790+5 3.605290-2380027506 1967 3.246080+5 3.136770-2 3.497450+5 2.693090-2 3.793150+5 2.267570-2380027506 1968 4.033090+5 1.971600-2 4.283380+5 1.722710-2 4.598630+5 1.453190-2380027506 1969 5.057890+5 1.152820-2 5.507460+5 9.163860-3 5.882690+5 7.548670-3380027506 1970 6.447420+5 5.608540-3 7.088130+5 3.950870-3 7.816480+5 2.542120-3380027506 1971 8.486910+5 1.552000-3 9.101570+5 8.281250-4 9.806780+5 1.759570-4380027506 1972 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0380027506 1973 380027 0 1974 3800 0 0 1975 0 0 0 1976 3.900000+4 8.814220+1 -1 0 0 13900 1451 1 0.000000+0 0.000000+0 0 0 0 63900 1451 2 0.000000+0 0.000000+0 0 0 3 63900 1451 3 0.000000+0 0.000000+0 0 0 126 273900 1451 4 39-Y - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 3900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 3900 1451 6 ----ENDF/B-VI MATERIAL 3900 3900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3900 1451 8 ------ENDF-6 FORMAT 3900 1451 9 =================================================================3900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 3900 1451 11 ENDF/B-VI FORMAT 3900 1451 12 =================================================================3900 1451 13 CONTENTS 3900 1451 14 =================================================================3900 1451 15 MF/MT DESCRIPTION 3900 1451 16 =================================================================3900 1451 17 23/501 TOTAL CROSS SECTION 3900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 3900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 3900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 3900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 3900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 3900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 3900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 3900 1451 39 =================================================================3900 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 3900 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 3900 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 3900 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 3900 1451 44 =================================================================3900 1451 45 WARNING 3900 1451 46 =================================================================3900 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 3900 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 3900 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 3900 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 3900 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 3900 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 3900 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 3900 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 3900 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 3900 1451 56 =================================================================3900 1451 57 DEFINITION OF NEW TYPES OF DATA 3900 1451 58 =================================================================3900 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 3900 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 3900 1451 61 3900 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 3900 1451 63 C2 FIELDS ARE, 3900 1451 64 3900 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 3900 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 3900 1451 67 3900 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 3900 1451 69 3900 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3900 1451 71 3900 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 3900 1451 73 T = THE THOMSON CROSS SECTION 3900 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 3900 1451 75 FF(M) = THE ATOMIC FORM FACTOR 3900 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 3900 1451 77 F1(E) = THE REAL SCATTERING FACTOR 3900 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 3900 1451 79 3900 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 3900 1451 81 3900 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 3900 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 3900 1451 84 =================================================================3900 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 3900 1451 86 =================================================================3900 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 3900 1451 88 HERE - 10 EV TO 100 MEV 3900 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION3900 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 3900 1451 91 HERE - PHOTON INTERACTION 3900 1451 92 - AVERAGE FLUORESCENCE YIELD 3900 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 3900 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)3900 1451 95 HERE - NO SECONDARY ENERGY DATA 3900 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 3900 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 3900 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 3900 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 3900 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3900 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 3900 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 3900 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 3900 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 3900 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 3900 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 3900 1451 107 =================================================================3900 1451 108 REFERENCES 3900 1451 109 =================================================================3900 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 3900 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 3900 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 3900 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),3900 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 3900 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 3900 1451 116 3900 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 3900 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 3900 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 3900 1451 120 OF THE DATA, ETC. 3900 1451 121 =================================================================3900 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************3900 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 3900 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 3900 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************3900 1451 126 *RECONSTRUCTED MT NUMBERS 3900 1451 127 516 =+(515,515)+(517,517) 3900 1451 128 522 =+(534,572) 3900 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 3900 1451 130 1 451 157 13900 1451 131 23 501 445 13900 1451 132 23 502 76 13900 1451 133 23 504 24 13900 1451 134 23 515 17 13900 1451 135 23 516 38 13900 1451 136 23 517 24 13900 1451 137 23 522 336 13900 1451 138 23 534 33 13900 1451 139 23 535 39 13900 1451 140 23 536 45 13900 1451 141 23 537 46 13900 1451 142 23 538 43 13900 1451 143 23 539 49 13900 1451 144 23 540 51 13900 1451 145 23 541 66 13900 1451 146 23 542 66 13900 1451 147 23 543 49 13900 1451 148 23 544 57 13900 1451 149 23 545 59 13900 1451 150 23 546 73 13900 1451 151 23 547 73 13900 1451 152 23 550 52 13900 1451 153 27 502 50 13900 1451 154 27 504 43 13900 1451 155 27 505 61 13900 1451 156 27 506 92 13900 1451 157 3900 1 0 158 3900 0 0 159 3.900000+4 8.814220+1 0 0 0 0390023501 160 0.000000+0 0.000000+0 0 0 1 1324390023501 161 1324 2 0 0 0 0390023501 162 1.000000+1 7.547650+6 1.126160+1 7.620580+6 1.139960+1 7.628640+6390023501 163 1.154780+1 7.637310+6 1.246880+1 7.691150+6 1.288420+1 7.715920+6390023501 164 1.299510+1 7.693700+6 1.407860+1 7.476570+6 1.432270+1 7.427660+6390023501 165 1.500000+1 7.292520+6 1.568960+1 7.022200+6 1.688590+1 6.554280+6390023501 166 1.701190+1 6.504990+6 1.839740+1 5.858200+6 1.894980+1 5.600320+6390023501 167 1.988080+1 5.164860+6 2.055120+1 4.851280+6 2.144350+1 4.431690+6390023501 168 2.158780+1 4.372430+6 2.220390+1 4.119410+6 2.273400+1 3.920790+6390023501 169 2.309400+1 3.785310+6 2.389080+1 3.485430+6 2.468960+1 3.184810+6390023501 170 2.498040+1 3.094500+6 2.522690+1 3.017580+6 2.643140+1 2.641740+6390023501 171 2.676670+1 2.537120+6 2.705510+1 2.467150+6 2.763790+1 2.325760+6390023501 172 2.773720+1 2.301670+6 2.842180+1 2.135580+6 2.911140+1 1.968290+6390023501 173 2.938810+1 1.901160+6 2.946250+1 1.886870+6 2.981780+1 1.818610+6390023501 174 3.000000+1 1.783610+6 3.029070+1 1.727540+6 3.070210+1 1.648190+6390023501 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2.224930+0390023550 1913 1.952550+4 1.744310+0 2.060230+4 1.523260+0 2.263170+4 1.201670+0390023550 1914 2.493410+4 9.409700-1 2.663680+4 7.964550-1 2.883420+4 6.520240-1390023550 1915 3.197810+4 4.974330-1 3.465240+4 4.013800-1 3.706180+4 3.354040-1390023550 1916 3.994270+4 2.746120-1 4.327830+4 2.216490-1 4.651790+4 1.827760-1390023550 1917 5.109490+4 1.418260-1 5.437800+4 1.190720-1 5.868070+4 9.614820-2390023550 1918 6.272390+4 7.974090-2 6.832350+4 6.271880-2 7.165540+4 5.486950-2390023550 1919 7.788200+4 4.342240-2 8.487020+4 3.411310-2 8.999120+4 2.893820-2390023550 1920 9.654579+4 2.375370-2 1.044270+5 1.898900-2 1.132640+5 1.501680-2390023550 1921 1.216070+5 1.222910-2 1.329790+5 9.445290-3 1.433110+5 7.609000-3390023550 1922 1.557640+5 5.980960-3 1.697400+5 4.666030-3 1.799820+5 3.939410-3390023550 1923 1.930920+5 3.215220-3 2.051330+5 2.702590-3 2.199390+5 2.216400-3390023550 1924 2.376880+5 1.777160-3 2.574930+5 1.415170-3 2.719340+5 1.211620-3390023550 1925 2.903370+5 1.005620-3 3.109840+5 8.303200-4 3.402370+5 6.492970-4390023550 1926 3.689100+5 5.203800-4 4.000000+5 4.170600-4 4.229490+5 3.606340-4390023550 1927 4.598630+5 2.899810-4 5.000000+5 2.331700-4 5.477230+5 1.860610-4390023550 1928 6.000000+5 1.484700-4 6.623670+5 1.182350-4 7.085680+5 1.012320-4390023550 1929 7.682820+5 8.402470-5 8.226280+5 7.219030-5 9.197270+5 5.709380-5390023550 1930 1.022000+6 4.554370-5 1.144580+6 3.632100-5 1.250000+6 3.074250-5390023550 1931 1.369310+6 2.605690-5 1.500000+6 2.208540-5 1.701190+6 1.781420-5390023550 1932 1.894980+6 1.481710-5 2.044000+6 1.304380-5 2.332190+6 1.065510-5390023550 1933 2.693110+6 8.545210-6 3.000000+6 7.241820-6 3.464100+6 5.916570-6390023550 1934 4.000000+6 4.833840-6 4.728710+6 3.869570-6 5.477230+6 3.199110-6390023550 1935 6.000000+6 2.848440-6 7.000000+6 2.352080-6 8.000000+6 2.001950-6390023550 1936 9.486830+6 1.636530-6 1.100000+7 1.378160-6 1.300000+7 1.139370-6390023550 1937 1.549190+7 9.364320-7 1.800000+7 7.937160-7 2.097620+7 6.719710-7390023550 1938 2.498000+7 5.567700-7 3.000000+7 4.581200-7 3.464100+7 3.937960-7390023550 1939 4.229490+7 3.194600-7 5.000000+7 2.685220-7 6.000000+7 2.223970-7390023550 1940 6.928200+7 1.918740-7 8.458970+7 1.563780-7 1.000000+8 1.318240-7390023550 1941 390023 0 1942 3900 0 0 1943 3.900000+4 8.814220+1 0 0 0 0390027502 1944 0.000000+0 3.900000+1 0 0 2 139390027502 1945 2 2 139 5 0 0390027502 1946 0.000000+0 3.900000+1 1.000000-3 3.900000+1 5.000000-3 3.897600+1390027502 1947 1.000000-2 3.893700+1 1.375000-2 3.889770+1 1.500000-2 3.888000+1390027502 1948 1.875000-2 3.881360+1 2.000000-2 3.878800+1 2.375000-2 3.870300+1390027502 1949 2.500000-2 3.867200+1 2.875000-2 3.857070+1 3.000000-2 3.853400+1390027502 1950 3.437500-2 3.839170+1 3.812500-2 3.826270+1 4.000000-2 3.819800+1390027502 1951 4.437500-2 3.803510+1 4.812500-2 3.788570+1 5.000000-2 3.780700+1390027502 1952 5.500000-2 3.758150+1 5.875000-2 3.740770+1 6.437500-2 3.713530+1390027502 1953 6.500000-2 3.710590+1 7.000000-2 3.685800+1 7.500000-2 3.660720+1390027502 1954 8.250000-2 3.622350+1 8.500000-2 3.609690+1 9.000000-2 3.584000+1390027502 1955 1.000000-1 3.532200+1 1.187500-1 3.437700+1 1.250000-1 3.406900+1390027502 1956 1.500000-1 3.285900+1 1.750000-1 3.170800+1 2.000000-1 3.059400+1390027502 1957 2.250000-1 2.949430+1 2.375000-1 2.895110+1 2.500000-1 2.842100+1390027502 1958 2.875000-1 2.688400+1 3.000000-1 2.639900+1 3.500000-1 2.458370+1390027502 1959 4.000000-1 2.299000+1 4.500000-1 2.158830+1 4.750000-1 2.094670+1390027502 1960 5.000000-1 2.033800+1 5.500000-1 1.919690+1 5.750000-1 1.865610+1390027502 1961 6.000000-1 1.813400+1 6.500000-1 1.712760+1 7.000000-1 1.616600+1390027502 1962 7.500000-1 1.524300+1 8.000000-1 1.435800+1 8.500000-1 1.351210+1390027502 1963 9.000000-1 1.270900+1 9.750000-1 1.158970+1 1.000000+0 1.124200+1390027502 1964 1.187500+0 9.052880+0 1.250000+0 8.492200+0 1.359400+0 7.689110+0390027502 1965 1.437500+0 7.228360+0 1.453100+0 7.146210+0 1.500000+0 6.915600+0390027502 1966 1.625000+0 6.406280+0 1.718800+0 6.094020+0 2.000000+0 5.346300+0390027502 1967 2.250000+0 4.801930+0 2.375000+0 4.564840+0 2.500000+0 4.349500+0390027502 1968 2.671900+0 4.077590+0 2.789100+0 3.889190+0 2.875000+0 3.743070+0390027502 1969 2.894500+0 3.708690+0 2.973600+0 3.564460+0 3.000000+0 3.514500+0390027502 1970 3.062500+0 3.393190+0 3.335900+0 2.897560+0 3.445300+0 2.743890+0390027502 1971 3.500000+0 2.679600+0 4.000000+0 2.282700+0 4.062500+0 2.229380+0390027502 1972 5.000000+0 1.489000+0 5.125000+0 1.432680+0 5.234400+0 1.391190+0390027502 1973 5.425800+0 1.331630+0 5.569300+0 1.294870+0 6.000000+0 1.206000+0390027502 1974 7.000000+0 1.045000+0 7.750000+0 9.559540-1 8.000000+0 9.271000-1390027502 1975 8.250000+0 8.972830-1 8.687500+0 8.439820-1 9.015600+0 8.042190-1390027502 1976 9.507800+0 7.461880-1 1.000000+1 6.914000-1 1.062500+1 6.272580-1390027502 1977 1.117200+1 5.759840-1 1.186000+1 5.173840-1 1.243500+1 4.729980-1390027502 1978 1.307700+1 4.279890-1 1.375000+1 3.854690-1 1.376400+1 3.846340-1390027502 1979 1.458800+1 3.385120-1 1.500000+1 3.176300-1 1.589800+1 2.765960-1390027502 1980 1.665000+1 2.466310-1 1.748800+1 2.174000-1 1.838500+1 1.903830-1390027502 1981 1.946200+1 1.629290-1 2.000000+1 1.509900-1 2.139200+1 1.246030-1390027502 1982 2.272600+1 1.043490-1 2.443000+1 8.395200-2 2.680200+1 6.302810-2390027502 1983 2.825100+1 5.336180-2 3.097000+1 3.968050-2 3.438900+1 2.809150-2390027502 1984 3.725100+1 2.147930-2 4.180400+1 1.450080-2 4.726800+1 9.487550-3390027502 1985 5.000000+1 7.804200-3 6.500000+1 3.115890-3 8.000000+1 1.501900-3390027502 1986 1.000000+2 6.872800-4 1.205000+2 3.603310-4 1.418200+2 2.063020-4390027502 1987 1.711700+2 1.091240-4 2.014900+2 6.319120-5 2.264400+2 4.286980-5390027502 1988 2.747900+2 2.265590-5 3.413600+2 1.116880-5 4.024500+2 6.561290-6390027502 1989 5.120000+2 3.035610-6 6.340000+2 1.540960-6 8.170000+2 6.939580-7390027502 1990 1.000000+3 3.690800-7 1.342800+3 1.479090-7 1.774400+3 6.269320-8390027502 1991 2.633300+3 1.877440-8 3.757200+3 6.398640-9 6.611900+3 1.174840-9390027502 1992 8.872031+3 4.91907-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0390027502 1993 390027 0 1994 3.900000+4 8.814220+1 0 0 0 0390027504 1995 0.000000+0 3.900000+1 0 0 2 119390027504 1996 2 2 119 5 0 0390027504 1997 0.000000+0 0.000000+0 1.000000-3 9.036650-4 5.000000-3 2.200000-2390027504 1998 1.000000-2 8.700000-2 1.375000-2 1.634010-1 1.500000-2 1.938000-1390027504 1999 1.875000-2 2.984840-1 2.000000-2 3.377000-1 2.375000-2 4.674050-1390027504 2000 2.500000-2 5.144000-1 2.875000-2 6.651870-1 3.000000-2 7.185000-1390027504 2001 3.437500-2 9.149920-1 3.812500-2 1.093590+0 4.000000-2 1.185700+0390027504 2002 4.437500-2 1.405390+0 4.812500-2 1.597260+0 5.000000-2 1.694000+0390027504 2003 5.500000-2 1.951500+0 5.875000-2 2.143400+0 6.437500-2 2.426180+0390027504 2004 6.500000-2 2.457140+0 7.000000-2 2.700700+0 7.500000-2 2.935690+0390027504 2005 8.250000-2 3.273260+0 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1.094820-1 1.891320+5 9.492740-2390027506 2184 2.051330+5 8.239760-2 2.211170+5 7.216000-2 2.515410+5 5.696460-2390027506 2185 2.720890+5 4.907150-2 3.054430+5 3.899470-2 3.246080+5 3.449020-2390027506 2186 3.544470+5 2.885830-2 3.793150+5 2.495150-2 4.049960+5 2.150660-2390027506 2187 4.283380+5 1.897180-2 4.598630+5 1.601510-2 5.042090+5 1.279870-2390027506 2188 5.507460+5 1.009870-2 5.882690+5 8.318590-3 6.433520+5 6.221250-3390027506 2189 7.085680+5 4.358760-3 7.798130+5 2.832810-3 8.465560+5 1.739030-3390027506 2190 9.101570+5 9.132960-4 9.807260+5 1.930330-4 1.000000+6 0.000000+0390027506 2191 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0390027506 2192 390027 0 2193 3900 0 0 2194 0 0 0 2195 4.000000+4 9.043640+1 -1 0 0 14000 1451 1 0.000000+0 0.000000+0 0 0 0 64000 1451 2 0.000000+0 0.000000+0 0 0 3 64000 1451 3 0.000000+0 0.000000+0 0 0 126 274000 1451 4 40-ZR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4000 1451 6 ----ENDF/B-VI MATERIAL 4000 4000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4000 1451 8 ------ENDF-6 FORMAT 4000 1451 9 =================================================================4000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4000 1451 11 ENDF/B-VI FORMAT 4000 1451 12 =================================================================4000 1451 13 CONTENTS 4000 1451 14 =================================================================4000 1451 15 MF/MT DESCRIPTION 4000 1451 16 =================================================================4000 1451 17 23/501 TOTAL CROSS SECTION 4000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4000 1451 39 =================================================================4000 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4000 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4000 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4000 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4000 1451 44 =================================================================4000 1451 45 WARNING 4000 1451 46 =================================================================4000 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4000 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4000 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4000 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4000 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4000 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4000 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4000 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4000 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4000 1451 56 =================================================================4000 1451 57 DEFINITION OF NEW TYPES OF DATA 4000 1451 58 =================================================================4000 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4000 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4000 1451 61 4000 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4000 1451 63 C2 FIELDS ARE, 4000 1451 64 4000 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4000 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4000 1451 67 4000 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4000 1451 69 4000 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4000 1451 71 4000 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4000 1451 73 T = THE THOMSON CROSS SECTION 4000 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4000 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4000 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4000 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4000 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4000 1451 79 4000 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4000 1451 81 4000 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4000 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4000 1451 84 =================================================================4000 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4000 1451 86 =================================================================4000 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4000 1451 88 HERE - 10 EV TO 100 MEV 4000 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4000 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4000 1451 91 HERE - PHOTON INTERACTION 4000 1451 92 - AVERAGE FLUORESCENCE YIELD 4000 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4000 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4000 1451 95 HERE - NO SECONDARY ENERGY DATA 4000 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4000 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4000 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4000 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4000 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4000 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4000 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4000 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4000 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4000 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4000 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4000 1451 107 =================================================================4000 1451 108 REFERENCES 4000 1451 109 =================================================================4000 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4000 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4000 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4000 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4000 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4000 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4000 1451 116 4000 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4000 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4000 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4000 1451 120 OF THE DATA, ETC. 4000 1451 121 =================================================================4000 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4000 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4000 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4000 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4000 1451 126 *RECONSTRUCTED MT NUMBERS 4000 1451 127 516 =+(515,515)+(517,517) 4000 1451 128 522 =+(534,572) 4000 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4000 1451 130 1 451 157 14000 1451 131 23 501 444 14000 1451 132 23 502 71 14000 1451 133 23 504 24 14000 1451 134 23 515 17 14000 1451 135 23 516 38 14000 1451 136 23 517 24 14000 1451 137 23 522 342 14000 1451 138 23 534 33 14000 1451 139 23 535 39 14000 1451 140 23 536 45 14000 1451 141 23 537 46 14000 1451 142 23 538 43 14000 1451 143 23 539 48 14000 1451 144 23 540 50 14000 1451 145 23 541 64 14000 1451 146 23 542 64 14000 1451 147 23 543 48 14000 1451 148 23 544 56 14000 1451 149 23 545 57 14000 1451 150 23 546 73 14000 1451 151 23 547 74 14000 1451 152 23 550 54 14000 1451 153 27 502 53 14000 1451 154 27 504 46 14000 1451 155 27 505 59 14000 1451 156 27 506 88 14000 1451 157 4000 1 0 158 4000 0 0 159 4.000000+4 9.043640+1 0 0 0 0400023501 160 0.000000+0 0.000000+0 0 0 1 1321400023501 161 1321 2 0 0 0 0400023501 162 1.000000+1 1.035150+7 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6.994860+1 5.093170+4 8.653960+1 3.945450+4400023550 1889 9.929660+1 3.301640+4 1.150590+2 2.727940+4 1.313730+2 2.297370+4400023550 1890 1.500000+2 1.934760+4 1.732050+2 1.593640+4 2.000000+2 1.312660+4400023550 1891 2.303330+2 1.055360+4 2.664390+2 8.427340+3 2.942510+2 7.228850+3400023550 1892 3.314830+2 6.013440+3 3.761060+2 4.917560+3 4.226880+2 4.062560+3400023550 1893 4.790190+2 3.310730+3 5.361080+2 2.753820+3 6.000000+2 2.290590+3400023550 1894 6.817320+2 1.842730+3 7.776940+2 1.472400+3 8.507570+2 1.263550+3400023550 1895 9.475490+2 1.051650+3 1.051990+3 8.765830+2 1.194100+3 6.994460+2400023550 1896 1.338340+3 5.708460+2 1.500000+3 4.658900+2 1.698960+3 3.690720+2400023550 1897 1.885620+3 3.036930+2 2.117730+3 2.444190+2 2.387060+3 1.953840+2400023550 1898 2.590080+3 1.677200+2 2.856620+3 1.396430+2 3.197810+3 1.119980+2400023550 1899 3.575870+3 8.936390+1 4.012620+3 7.080270+1 4.340600+3 6.041010+1400023550 1900 4.769760+3 4.993230+1 5.302550+3 4.002050+1 5.876741+3 3.209940+1400023550 1901 6.534060+3 2.556920+1 7.023900+3 2.189620+1 7.660420+3 1.817810+1400023550 1902 8.458970+3 1.461750+1 9.197270+3 1.211930+1 1.000000+4 1.004800+1400023550 1903 1.106680+4 7.935430+0 1.228630+4 6.220970+0 1.319400+4 5.269650+0400023550 1904 1.437210+4 4.318070+0 1.554920+4 3.581670+0 1.701190+4 2.878670+0400023550 1905 1.844550+4 2.364760+0 2.000000+4 1.942600+0 2.103980+4 1.708670+0400023550 1906 2.299120+4 1.365010+0 2.519330+4 1.082850+0 2.681450+4 9.246920-1400023550 1907 2.889820+4 7.650920-1 3.197810+4 5.873410-1 3.465240+4 4.744740-1400023550 1908 3.706180+4 3.968680-1 3.994270+4 3.252850-1 4.327830+4 2.628530-1400023550 1909 4.651790+4 2.169780-1 5.000000+4 1.791100-1 5.452540+4 1.405860-1400023550 1910 5.881990+4 1.137390-1 6.285410+4 9.448900-2 6.832350+4 7.483290-2400023550 1911 7.326540+4 6.156280-2 7.919070+4 4.953480-2 8.580350+4 3.958700-2400023550 1912 9.364879+4 3.099870-2 1.021900+5 2.424410-2 1.087560+5 2.026520-2400023550 1913 1.173610+5 1.627600-2 1.254480+5 1.343520-2 1.366470+5 1.050360-2400023550 1914 1.433110+5 9.158230-3 1.557640+5 7.205080-3 1.697400+5 5.626150-3400023550 1915 1.799820+5 4.752970-3 1.930920+5 3.882120-3 2.051330+5 3.265080-3400023550 1916 2.199390+5 2.679280-3 2.376880+5 2.149730-3 2.574930+5 1.713010-3400023550 1917 2.809850+5 1.337120-3 3.000000+5 1.110400-3 3.223710+5 9.125230-4400023550 1918 3.402370+5 7.876200-4 3.689100+5 6.315780-4 4.000000+5 5.064500-4400023550 1919 4.229490+5 4.380590-4 4.598630+5 3.523930-4 5.000000+5 2.834800-4400023550 1920 5.477230+5 2.262660-4 6.000000+5 1.806000-4 6.623670+5 1.438450-4400023550 1921 7.085680+5 1.231730-4 7.682820+5 1.022500-4 8.226280+5 8.785150-5400023550 1922 9.197270+5 6.947200-5 1.022000+6 5.540720-5 1.144580+6 4.417860-5400023550 1923 1.250000+6 3.739020-5 1.369310+6 3.168830-5 1.500000+6 2.685600-5400023550 1924 1.701190+6 2.166150-5 1.894980+6 1.801650-5 2.044000+6 1.585940-5400023550 1925 2.332190+6 1.295020-5 2.693110+6 1.038160-5 3.000000+6 8.795420-6400023550 1926 3.464100+6 7.183900-6 4.000000+6 5.867650-6 4.728710+6 4.697150-6400023550 1927 5.477230+6 3.882210-6 6.000000+6 3.455690-6 7.000000+6 2.852700-6400023550 1928 8.000000+6 2.426490-6 9.486830+6 1.983660-6 1.100000+7 1.670210-6400023550 1929 1.300000+7 1.380580-6 1.549190+7 1.134540-6 1.800000+7 9.613930-7400023550 1930 2.097620+7 8.139210-7 2.498000+7 6.742970-7 3.000000+7 5.547990-7400023550 1931 3.464100+7 4.769270-7 4.229490+7 3.868490-7 5.000000+7 3.249850-7400023550 1932 6.000000+7 2.692870-7 6.928200+7 2.322850-7 8.458970+7 1.892790-7400023550 1933 1.000000+8 1.595620-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0400023550 1934 400023 0 1935 4000 0 0 1936 4.000000+4 9.043640+1 0 0 0 0400027502 1937 0.000000+0 4.000000+1 0 0 2 148400027502 1938 2 2 148 5 0 0400027502 1939 0.000000+0 4.000000+1 1.000000-3 4.000000+1 5.000000-3 3.998200+1400027502 1940 1.000000-2 3.994400+1 1.375000-2 3.990170+1 1.500000-2 3.988400+1400027502 1941 1.875000-2 3.982060+1 2.000000-2 3.979600+1 2.375000-2 3.971330+1400027502 1942 2.500000-2 3.968300+1 2.875000-2 3.958460+1 3.000000-2 3.954900+1400027502 1943 3.437500-2 3.941110+1 3.812500-2 3.928480+1 4.000000-2 3.922100+1400027502 1944 4.500000-2 3.903260+1 5.000000-2 3.883100+1 5.500000-2 3.860840+1400027502 1945 5.875000-2 3.843680+1 6.437500-2 3.816670+1 6.500000-2 3.813750+1400027502 1946 7.000000-2 3.788900+1 7.500000-2 3.763510+1 8.250000-2 3.724310+1400027502 1947 8.500000-2 3.711330+1 9.000000-2 3.684900+1 1.000000-1 3.631300+1400027502 1948 1.125000-1 3.564710+1 1.187500-1 3.531980+1 1.250000-1 3.499500+1400027502 1949 1.500000-1 3.371900+1 1.750000-1 3.249600+1 2.000000-1 3.132300+1400027502 1950 2.250000-1 3.018200+1 2.375000-1 2.962260+1 2.500000-1 2.907800+1400027502 1951 2.875000-1 2.750400+1 3.000000-1 2.700800+1 3.500000-1 2.515150+1400027502 1952 4.000000-1 2.351800+1 4.500000-1 2.207980+1 4.750000-1 2.142430+1400027502 1953 5.000000-1 2.080800+1 5.500000-1 1.966440+1 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9.143620-2 2.602800+1 7.539960-2400027502 1979 2.825100+1 5.841040-2 3.097000+1 4.355980-2 3.438900+1 3.093570-2400027502 1980 3.725100+1 2.370490-2 4.180400+1 1.605010-2 4.726800+1 1.053120-2400027502 1981 5.000000+1 8.673000-3 5.750000+1 5.337330-3 8.000000+1 1.682600-3400027502 1982 1.000000+2 7.724900-4 1.205000+2 4.060640-4 1.418200+2 2.329970-4400027502 1983 1.711700+2 1.235560-4 2.014900+2 7.168570-5 2.264400+2 4.870300-5400027502 1984 2.747900+2 2.579740-5 3.413600+2 1.274810-5 4.024500+2 7.502480-6400027502 1985 5.120000+2 3.479410-6 6.340000+2 1.770050-6 8.170000+2 7.989640-7400027502 1986 1.000000+3 4.257100-7 1.342800+3 1.710280-7 1.774400+3 7.265560-8400027502 1987 2.633300+3 2.182130-8 3.757200+3 7.455290-9 6.611900+3 1.373700-9400027502 1988 8.872031+3 5.76097-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0400027502 1989 400027 0 1990 4.000000+4 9.043640+1 0 0 0 0400027504 1991 0.000000+0 4.000000+1 0 0 2 128400027504 1992 2 2 128 5 0 0400027504 1993 0.000000+0 0.000000+0 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3.332150+3-2.879190+0400027506 2147 3.494830+3-2.269220+0 3.575870+3-2.027230+0 3.744800+3-1.566680+0400027506 2148 3.794960+3-1.446370+0 4.001420+3-1.069480+0 4.141780+3-8.439470-1400027506 2149 4.207960+3-7.677760-1 4.513650+3-4.717090-1 4.598630+3-4.186720-1400027506 2150 4.681800+3-3.718850-1 4.894630+3-2.902900-1 4.942050+3-2.742800-1400027506 2151 5.099730+3-2.339140-1 5.263490+3-2.031310-1 5.514760+3-1.782760-1400027506 2152 5.827350+3-1.691450-1 6.195221+3-1.655600-1 6.450940+3-1.959540-1400027506 2153 6.666790+3-2.176810-1 6.828681+3-2.393980-1 6.967040+3-2.685620-1400027506 2154 7.410100+3-3.419440-1 7.549661+3-3.710170-1 7.682820+3-4.036560-1400027506 2155 8.139760+3-5.012590-1 8.521380+3-5.983380-1 9.391701+3-7.733030-1400027506 2156 1.019190+4-9.462610-1 1.112890+4-1.174350+0 1.188440+4-1.351340+0400027506 2157 1.287460+4-1.616940+0 1.334400+4-1.749930+0 1.417630+4-2.013370+0400027506 2158 1.494310+4-2.319670+0 1.554920+4-2.627000+0 1.638090+4-3.206530+0400027506 2159 1.681950+4-3.674140+0 1.728250+4-4.455880+0 1.745350+4-4.932220+0400027506 2160 1.755390+4-5.330440+0 1.760220+4-5.576170+0 1.764970+4-5.862000+0400027506 2161 1.768260+4-6.086260+0 1.771590+4-6.335090+0 1.773820+4-6.509450+0400027506 2162 1.775880+4-6.674440+0 1.778340+4-6.871760+0 1.781480+4-7.112830+0400027506 2163 1.784930+4-7.349960+0 1.789270+4-7.565560+0 1.796400+4-7.690940+0400027506 2164 1.804000+4-7.457390+0 1.811040+4-6.964730+0 1.817780+4-6.384080+0400027506 2165 1.826320+4-5.697040+0 1.834450+4-5.140590+0 1.850980+4-4.376720+0400027506 2166 1.882240+4-3.504510+0 1.903620+4-3.077480+0 1.934160+4-2.596440+0400027506 2167 1.966710+4-2.213680+0 2.009220+4-1.816280+0 2.072980+4-1.331380+0400027506 2168 2.107570+4-1.126180+0 2.202920+4-7.092250-1 2.236010+4-5.865230-1400027506 2169 2.353940+4-2.587450-1 2.396360+4-1.558610-1 2.459620+4-4.531970-2400027506 2170 2.558160+4 1.298190-1 2.617850+4 2.222600-1 2.662610+4 2.764320-1400027506 2171 2.694760+4 2.976010-1 2.755030+4 3.518670-1 2.800240+4 3.860840-1400027506 2172 2.836860+4 4.007910-1 3.018180+4 5.216660-1 3.097330+4 5.385270-1400027506 2173 3.313790+4 6.160170-1 3.905660+4 6.557180-1 4.210140+4 6.537740-1400027506 2174 5.313250+4 5.734220-1 6.832350+4 4.460730-1 7.811329+4 3.830340-1400027506 2175 9.167729+4 3.128060-1 1.060220+5 2.556070-1 1.129850+5 2.327160-1400027506 2176 1.270830+5 1.950290-1 1.503970+5 1.506400-1 1.735950+5 1.191430-1400027506 2177 1.891320+5 1.035510-1 2.051330+5 9.000740-2 2.211170+5 7.887580-2400027506 2178 2.417300+5 6.725700-2 2.720890+5 5.372180-2 3.028740+5 4.338760-2400027506 2179 3.279900+5 3.706960-2 3.544470+5 3.163950-2 3.793150+5 2.736280-2400027506 2180 4.049960+5 2.358960-2 4.283380+5 2.081370-2 4.598630+5 1.757500-2400027506 2181 5.046200+5 1.402230-2 5.530550+5 1.096460-2 5.882690+5 9.134390-3400027506 2182 6.447420+5 6.786820-3 7.085680+5 4.785890-3 7.798130+5 3.110490-3400027506 2183 8.486910+5 1.878650-3 9.101570+5 1.002900-3 9.808180+5 2.108870-4400027506 2184 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0400027506 2185 400027 0 2186 4000 0 0 2187 0 0 0 2188 4.100000+4 9.210830+1 -1 0 0 14100 1451 1 0.000000+0 0.000000+0 0 0 0 64100 1451 2 0.000000+0 0.000000+0 0 0 3 64100 1451 3 0.000000+0 0.000000+0 0 0 126 274100 1451 4 41-NB- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4100 1451 6 ----ENDF/B-VI MATERIAL 4100 4100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4100 1451 8 ------ENDF-6 FORMAT 4100 1451 9 =================================================================4100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4100 1451 11 ENDF/B-VI FORMAT 4100 1451 12 =================================================================4100 1451 13 CONTENTS 4100 1451 14 =================================================================4100 1451 15 MF/MT DESCRIPTION 4100 1451 16 =================================================================4100 1451 17 23/501 TOTAL CROSS SECTION 4100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4100 1451 39 =================================================================4100 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4100 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4100 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4100 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4100 1451 44 =================================================================4100 1451 45 WARNING 4100 1451 46 =================================================================4100 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4100 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4100 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4100 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4100 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4100 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4100 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4100 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4100 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4100 1451 56 =================================================================4100 1451 57 DEFINITION OF NEW TYPES OF DATA 4100 1451 58 =================================================================4100 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4100 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4100 1451 61 4100 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4100 1451 63 C2 FIELDS ARE, 4100 1451 64 4100 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4100 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4100 1451 67 4100 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4100 1451 69 4100 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4100 1451 71 4100 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4100 1451 73 T = THE THOMSON CROSS SECTION 4100 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4100 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4100 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4100 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4100 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4100 1451 79 4100 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4100 1451 81 4100 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4100 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4100 1451 84 =================================================================4100 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4100 1451 86 =================================================================4100 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4100 1451 88 HERE - 10 EV TO 100 MEV 4100 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4100 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4100 1451 91 HERE - PHOTON INTERACTION 4100 1451 92 - AVERAGE FLUORESCENCE YIELD 4100 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4100 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4100 1451 95 HERE - NO SECONDARY ENERGY DATA 4100 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4100 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4100 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4100 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4100 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4100 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4100 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4100 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4100 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4100 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4100 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4100 1451 107 =================================================================4100 1451 108 REFERENCES 4100 1451 109 =================================================================4100 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4100 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4100 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4100 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4100 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4100 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4100 1451 116 4100 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4100 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4100 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4100 1451 120 OF THE DATA, ETC. 4100 1451 121 =================================================================4100 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4100 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4100 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4100 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4100 1451 126 *RECONSTRUCTED MT NUMBERS 4100 1451 127 516 =+(515,515)+(517,517) 4100 1451 128 522 =+(534,572) 4100 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4100 1451 130 1 451 157 14100 1451 131 23 501 441 14100 1451 132 23 502 73 14100 1451 133 23 504 24 14100 1451 134 23 515 17 14100 1451 135 23 516 37 14100 1451 136 23 517 24 14100 1451 137 23 522 337 14100 1451 138 23 534 32 14100 1451 139 23 535 39 14100 1451 140 23 536 45 14100 1451 141 23 537 45 14100 1451 142 23 538 43 14100 1451 143 23 539 48 14100 1451 144 23 540 49 14100 1451 145 23 541 65 14100 1451 146 23 542 64 14100 1451 147 23 543 48 14100 1451 148 23 544 56 14100 1451 149 23 545 57 14100 1451 150 23 546 72 14100 1451 151 23 547 71 14100 1451 152 23 550 54 14100 1451 153 27 502 53 14100 1451 154 27 504 47 14100 1451 155 27 505 61 14100 1451 156 27 506 92 14100 1451 157 4100 1 0 158 4100 0 0 159 4.100000+4 9.210830+1 0 0 0 0410023501 160 0.000000+0 0.000000+0 0 0 1 1312410023501 161 1312 2 0 0 0 0410023501 162 1.000000+1 1.848040+7 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2.272600+1 1.227610-1410027502 1966 2.443000+1 9.929420-2 2.602800+1 8.206400-2 2.825100+1 6.375070-2410027502 1967 3.097000+1 4.768300-2 3.438900+1 3.397080-2 3.725100+1 2.608960-2410027502 1968 4.180400+1 1.771700-2 4.726800+1 1.165860-2 5.000000+1 9.613100-3410027502 1969 5.750000+1 5.931610-3 8.000000+1 1.880200-3 1.000000+2 8.661000-4410027502 1970 1.205000+2 4.564870-4 1.418200+2 2.625150-4 1.711700+2 1.395520-4410027502 1971 2.014900+2 8.113320-5 2.264400+2 5.519980-5 2.747900+2 2.930490-5410027502 1972 3.413600+2 1.451570-5 4.024500+2 8.558520-6 5.120000+2 3.978930-6410027502 1973 6.340000+2 2.028230-6 8.170000+2 9.176390-7 1.000000+3 4.898100-7410027502 1974 1.342800+3 1.972650-7 1.774400+3 8.398600-8 2.633300+3 2.529790-8410027502 1975 3.757200+3 8.664260-9 6.611900+3 1.602160-9 8.872031+3 6.73000-10410027502 1976 410027 0 1977 4.100000+4 9.210830+1 0 0 0 0410027504 1978 0.000000+0 4.100000+1 0 0 2 130410027504 1979 2 2 130 5 0 0410027504 1980 0.000000+0 0.000000+0 1.000000-3 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MATERIAL 4200 4200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4200 1451 8 ------ENDF-6 FORMAT 4200 1451 9 =================================================================4200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4200 1451 11 ENDF/B-VI FORMAT 4200 1451 12 =================================================================4200 1451 13 CONTENTS 4200 1451 14 =================================================================4200 1451 15 MF/MT DESCRIPTION 4200 1451 16 =================================================================4200 1451 17 23/501 TOTAL CROSS SECTION 4200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4200 1451 39 =================================================================4200 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4200 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4200 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4200 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4200 1451 44 =================================================================4200 1451 45 WARNING 4200 1451 46 =================================================================4200 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4200 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4200 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4200 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4200 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4200 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4200 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4200 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4200 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4200 1451 56 =================================================================4200 1451 57 DEFINITION OF NEW TYPES OF DATA 4200 1451 58 =================================================================4200 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4200 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4200 1451 61 4200 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4200 1451 63 C2 FIELDS ARE, 4200 1451 64 4200 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4200 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4200 1451 67 4200 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4200 1451 69 4200 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4200 1451 71 4200 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4200 1451 73 T = THE THOMSON CROSS SECTION 4200 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4200 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4200 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4200 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4200 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4200 1451 79 4200 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4200 1451 81 4200 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4200 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4200 1451 84 =================================================================4200 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4200 1451 86 =================================================================4200 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4200 1451 88 HERE - 10 EV TO 100 MEV 4200 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4200 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4200 1451 91 HERE - PHOTON INTERACTION 4200 1451 92 - AVERAGE FLUORESCENCE YIELD 4200 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4200 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4200 1451 95 HERE - NO SECONDARY ENERGY DATA 4200 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4200 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4200 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4200 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4200 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4200 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4200 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4200 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4200 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4200 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4200 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4200 1451 107 =================================================================4200 1451 108 REFERENCES 4200 1451 109 =================================================================4200 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4200 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4200 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4200 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4200 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4200 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4200 1451 116 4200 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4200 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4200 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4200 1451 120 OF THE DATA, ETC. 4200 1451 121 =================================================================4200 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4200 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4200 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4200 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4200 1451 126 *RECONSTRUCTED MT NUMBERS 4200 1451 127 516 =+(515,515)+(517,517) 4200 1451 128 522 =+(534,572) 4200 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4200 1451 130 1 451 157 14200 1451 131 23 501 410 14200 1451 132 23 502 75 14200 1451 133 23 504 24 14200 1451 134 23 515 17 14200 1451 135 23 516 38 14200 1451 136 23 517 24 14200 1451 137 23 522 306 14200 1451 138 23 534 32 14200 1451 139 23 535 38 14200 1451 140 23 536 44 14200 1451 141 23 537 45 14200 1451 142 23 538 44 14200 1451 143 23 539 47 14200 1451 144 23 540 49 14200 1451 145 23 541 64 14200 1451 146 23 542 64 14200 1451 147 23 543 48 14200 1451 148 23 544 54 14200 1451 149 23 545 56 14200 1451 150 23 546 71 14200 1451 151 23 547 72 14200 1451 152 23 550 55 14200 1451 153 27 502 52 14200 1451 154 27 504 45 14200 1451 155 27 505 60 14200 1451 156 27 506 94 14200 1451 157 4200 1 0 158 4200 0 0 159 4.200000+4 9.511590+1 0 0 0 0420023501 160 0.000000+0 0.000000+0 0 0 1 1221420023501 161 1221 2 0 0 0 0420023501 162 1.000000+1 1.625500+7 1.025660+1 1.657410+7 1.065400+1 1.707050+7420023501 163 1.106680+1 1.758810+7 1.108220+1 1.760750+7 1.146830+1 1.809330+7420023501 164 1.171780+1 1.840780+7 1.188440+1 1.861780+7 1.226540+1 1.909910+7420023501 165 1.241470+1 1.928770+7 1.259670+1 1.951770+7 1.315870+1 2.022870+7420023501 166 1.355250+1 2.072750+7 1.356610+1 2.074470+7 1.378880+1 2.102670+7420023501 167 1.438170+1 2.177810+7 1.500000+1 2.256220+7 1.500470+1 2.256600+7420023501 168 1.554920+1 2.300660+7 1.619070+1 2.352650+7 1.695460+1 2.414560+7420023501 169 1.701450+1 2.419410+7 1.798500+1 2.498120+7 1.861210+1 2.549010+7420023501 170 1.891730+1 2.565380+7 1.929360+1 2.585560+7 1.930440+1 2.585980+7420023501 171 2.000000+1 2.612780+7 2.232210+1 2.596200+7 2.299120+1 2.591350+7420023501 172 2.309940+1 2.584940+7 2.528320+1 2.455540+7 2.581670+1 2.400170+7420023501 173 2.704500+1 2.272680+7 2.915680+1 2.053380+7 2.927240+1 2.039230+7420023501 174 3.136360+1 1.783200+7 3.210320+1 1.692660+7 3.457410+1 1.390060+7420023501 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4.618570+1 1.013700+7420023501 188 4.727110+1 9.294060+6 4.869480+1 8.188430+6 4.871910+1 8.171630+6420023501 189 4.896320+1 8.008350+6 5.099350+1 6.759180+6 5.115260+1 6.661290+6420023501 190 5.180130+1 6.304170+6 5.233180+1 6.012120+6 5.353810+1 5.405140+6420023501 191 5.555800+1 4.540180+6 5.603490+1 4.352450+6 5.658010+1 4.159780+6420023501 192 5.798360+1 3.687130+6 5.848120+1 3.539530+6 5.988840+1 3.156780+6420023501 193 6.000000+1 3.128190+6 6.042960+1 3.018120+6 6.111150+1 2.843410+6420023501 194 6.339650+1 2.368940+6 6.350290+1 2.349240+6 6.398100+1 2.265630+6420023501 195 6.609150+1 1.924760+6 6.612610+1 1.919420+6 6.618860+1 1.910920+6420023501 196 6.760290+1 1.718750+6 6.822420+1 1.639800+6 6.844390+1 1.613570+6420023501 197 6.852940+1 1.603360+6 6.933760+1 1.512120+6 6.934340+1 1.511490+6420023501 198 6.949000+1 1.495640+6 6.963000+1 1.482570+6 6.963000+1 1.652470+6420023501 199 7.007560+1 1.611870+6 7.081430+1 1.549030+6 7.102000+1 1.531530+6420023501 200 7.233940+1 1.432590+6 7.262330+1 1.411300+6 7.509650+1 1.247230+6420023501 201 7.537640+1 1.230640+6 7.552710+1 1.222290+6 7.765380+1 1.118710+6420023501 202 7.786500+1 1.109840+6 7.881820+1 1.068450+6 7.994870+1 1.027770+6420023501 203 8.000000+1 1.025930+6 8.330550+1 9.399350+5 8.427280+1 9.182540+5420023501 204 8.485280+1 9.052550+5 8.505260+1 9.012400+5 8.547970+1 8.926580+5420023501 205 8.563720+1 8.896760+5 8.738850+1 8.608200+5 8.852160+1 8.450830+5420023501 206 8.877390+1 8.420170+5 9.000000+1 8.271190+5 9.240210+1 8.088440+5420023501 207 9.612600+1 7.860690+5 9.740040+1 7.798540+5 1.000000+2 7.724170+5420023501 208 1.073580+2 7.655500+5 1.085030+2 7.635940+5 1.099280+2 7.613750+5420023501 209 1.106680+2 7.603090+5 1.218810+2 7.696900+5 1.264160+2 7.734840+5420023501 210 1.288420+2 7.745360+5 1.355400+2 7.799550+5 1.394860+2 7.818150+5420023501 211 1.416860+2 7.828520+5 1.500000+2 7.813600+5 1.531640+2 7.789660+5420023501 212 1.554920+2 7.772050+5 1.611860+2 7.713390+5 1.635760+2 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4.932140+0 6.438000+1 4.341240+0420027505 1971 6.804800+1 3.681820+0 6.884220+1 3.608510+0 6.934340+1 3.658120+0420027505 1972 7.011360+1 3.835540+0 7.081430+1 3.870700+0 7.556680+1 3.508720+0420027505 1973 8.000000+1 3.292480+0 8.877390+1 3.125210+0 9.740040+1 3.135980+0420027505 1974 1.531640+2 3.888350+0 2.131430+2 4.288110+0 2.338020+2 4.321690+0420027505 1975 2.364640+2 4.443540+0 2.425760+2 4.940230+0 2.505950+2 5.416140+0420027505 1976 2.589860+2 6.208030+0 2.643440+2 6.929580+0 2.688420+2 7.703180+0420027505 1977 2.763140+2 9.346960+0 2.864110+2 1.235640+1 3.018320+2 1.785910+1420027505 1978 3.117710+2 1.981750+1 3.248700+2 2.034280+1 3.820040+2 1.857480+1420027505 1979 3.870510+2 1.866560+1 3.948540+2 2.074440+1 4.062840+2 2.151650+1420027505 1980 4.122460+2 2.235170+1 4.192330+2 2.251990+1 4.839160+2 2.111560+1420027505 1981 4.900580+2 2.126870+1 5.015440+2 2.248840+1 7.389930+2 1.712980+1420027505 1982 8.182150+2 1.559550+1 1.064440+3 1.204390+1 1.212130+3 1.045240+1420027505 1983 1.359670+3 9.224750+0 1.554920+3 7.921070+0 1.738990+3 6.919850+0420027505 1984 2.098440+3 5.497330+0 2.439140+3 4.509680+0 2.463950+3 4.484110+0420027505 1985 2.475240+3 4.584830+0 2.481930+3 4.758970+0 2.486590+3 4.966280+0420027505 1986 2.492590+3 5.375330+0 2.500430+3 6.206590+0 2.505250+3 6.898350+0420027505 1987 2.510660+3 7.824310+0 2.532330+3 1.203500+1 2.542420+3 1.354740+1420027505 1988 2.548990+3 1.419340+1 2.561750+3 1.485270+1 2.593470+3 1.508530+1420027505 1989 2.607960+3 1.558470+1 2.641780+3 1.822760+1 2.655350+3 1.901740+1420027505 1990 2.673140+3 1.941780+1 2.802220+3 1.837830+1 2.823180+3 1.856760+1420027505 1991 2.881950+3 2.024550+1 3.423340+3 1.596170+1 3.945970+3 1.289570+1420027505 1992 4.401570+3 1.091610+1 5.005720+3 8.948680+0 5.742850+3 7.196190+0420027505 1993 6.466660+3 5.930280+0 7.292510+3 4.865190+0 8.059000+3 4.132960+0420027505 1994 8.786550+3 3.569270+0 9.922010+3 2.909630+0 1.133110+4 2.311190+0420027505 1995 1.199090+4 2.091130+0 1.310520+4 1.792480+0 1.463890+4 1.482220+0420027505 1996 1.660930+4 1.197030+0 1.920970+4 9.296460-1 1.939980+4 9.139350-1420027505 1997 1.951140+4 9.183010-1 1.956510+4 9.382150-1 1.961790+4 9.860510-1420027505 1998 1.965440+4 1.046230+0 1.969140+4 1.140160+0 1.973910+4 1.325040+0420027505 1999 1.976650+4 1.470010+0 1.980140+4 1.700980+0 1.983980+4 2.014370+0420027505 2000 1.988280+4 2.434790+0 2.002990+4 4.114820+0 2.011330+4 4.916780+0420027505 2001 2.018650+4 5.397800+0 2.028210+4 5.733700+0 2.044900+4 5.844420+0420027505 2002 2.071840+4 5.897080+0 2.551560+4 4.262790+0 2.915620+4 3.288430+0420027505 2003 3.176730+4 2.819040+0 3.485000+4 2.388660+0 3.844260+4 2.012180+0420027505 2004 4.224940+4 1.697200+0 4.580670+4 1.474900+0 4.878810+4 1.317090+0420027505 2005 5.269850+4 1.142910+0 5.688990+4 9.889890-1 6.195110+4 8.438510-1420027505 2006 6.665380+4 7.339450-1 7.181990+4 6.375020-1 7.788190+4 5.473260-1420027505 2007 8.535060+4 4.606770-1 9.167729+4 4.029380-1 9.764160+4 3.576740-1420027505 2008 1.055470+5 3.082350-1 1.143200+5 2.638130-1 1.226680+5 2.300110-1420027505 2009 1.312290+5 2.020860-1 1.413640+5 1.748400-1 1.507770+5 1.544880-1420027505 2010 1.697400+5 1.225250-1 1.882240+5 1.006260-1 2.006730+5 8.874490-2420027505 2011 2.151150+5 7.783880-2 2.335380+5 6.689050-2 2.487830+5 5.943670-2420027505 2012 2.672280+5 5.198430-2 2.851740+5 4.607160-2 3.045900+5 4.071400-2420027505 2013 3.441320+5 3.296720-2 3.793150+5 2.788950-2 4.049960+5 2.493000-2420027505 2014 4.366530+5 2.190570-2 4.911290+5 1.821230-2 5.524000+5 1.522440-2420027505 2015 6.006990+5 1.342650-2 6.623670+5 1.178960-2 7.682820+5 9.711520-3420027505 2016 8.226280+5 8.928360-3 9.197270+5 7.874960-3 9.807260+5 2.391330-3420027505 2017 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0420027505 2018 420027 0 2019 4.200000+4 9.511590+1 0 0 0 0420027506 2020 0.000000+0 4.200000+1 0 0 1 271420027506 2021 271 2 0 0 0 0420027506 2022 1.000000+1-4.305910+1 1.146830+1-4.313570+1 1.500470+1-4.318230+1420027506 2023 1.929360+1-4.250920+1 2.232210+1-4.157850+1 2.299120+1-4.134300+1420027506 2024 2.528320+1-4.046180+1 2.927240+1-3.917990+1 3.457410+1-3.836780+1420027506 2025 3.842240+1-3.907250+1 4.036800+1-4.020900+1 4.146830+1-4.183950+1420027506 2026 4.168920+1-4.248480+1 4.180200+1-4.289980+1 4.188050+1-4.322750+1420027506 2027 4.198150+1-4.367240+1 4.203940+1-4.393040+1 4.211350+1-4.424580+1420027506 2028 4.219470+1-4.455700+1 4.228590+1-4.483300+1 4.262070+1-4.482740+1420027506 2029 4.277570+1-4.433090+1 4.292430+1-4.370160+1 4.311230+1-4.291970+1420027506 2030 4.334490+1-4.214030+1 4.394020+1-4.123190+1 4.441450+1-4.117060+1420027506 2031 4.462360+1-4.134980+1 4.489220+1-4.147390+1 4.523260+1-4.111740+1420027506 2032 4.539350+1-4.068950+1 4.554780+1-4.019560+1 4.574290+1-3.957100+1420027506 2033 4.618570+1-3.845220+1 4.727110+1-3.687960+1 4.940460+1-3.513660+1420027506 2034 5.263360+1-3.380290+1 5.555800+1-3.328230+1 5.848120+1-3.311770+1420027506 2035 6.169560+1-3.317720+1 6.438000+1-3.335410+1 6.804800+1-3.381110+1420027506 2036 6.884220+1-3.403630+1 6.934340+1-3.418500+1 7.011360+1-3.422680+1420027506 2037 7.081430+1-3.414330+1 7.556680+1-3.421940+1 8.000000+1-3.444050+1420027506 2038 8.877390+1-3.480030+1 9.740040+1-3.499260+1 1.254010+2-3.537790+1420027506 2039 1.531640+2-3.564170+1 1.903580+2-3.630770+1 2.131430+2-3.729360+1420027506 2040 2.338020+2-3.886870+1 2.364640+2-3.926140+1 2.425760+2-3.991150+1420027506 2041 2.505950+2-4.078200+1 2.547090+2-4.132270+1 2.589860+2-4.191550+1420027506 2042 2.643440+2-4.270520+1 2.688420+2-4.337210+1 2.763140+2-4.435920+1420027506 2043 2.825900+2-4.491770+1 2.864110+2-4.516390+1 2.962200+2-4.469280+1420027506 2044 3.018320+2-4.352740+1 3.059810+2-4.235350+1 3.117710+2-4.070400+1420027506 2045 3.248700+2-3.759900+1 3.342610+2-3.597880+1 3.540470+2-3.391040+1420027506 2046 3.690160+2-3.315600+1 3.820040+2-3.313390+1 3.870510+2-3.377740+1420027506 2047 3.900680+2-3.424590+1 3.948540+2-3.390250+1 3.988340+2-3.309590+1420027506 2048 4.062840+2-3.250050+1 4.122460+2-3.175720+1 4.192330+2-3.043000+1420027506 2049 4.378760+2-2.839120+1 4.654140+2-2.653680+1 4.839160+2-2.593090+1420027506 2050 4.900580+2-2.613290+1 4.960110+2-2.590760+1 5.015440+2-2.499490+1420027506 2051 5.121400+2-2.374020+1 5.430000+2-2.171500+1 5.917000+2-1.943160+1420027506 2052 6.480740+2-1.743880+1 7.389930+2-1.516140+1 8.182150+2-1.392610+1420027506 2053 9.510800+2-1.248810+1 1.064440+3-1.170240+1 1.212130+3-1.126190+1420027506 2054 1.359670+3-1.109050+1 1.554920+3-1.112830+1 1.738990+3-1.153130+1420027506 2055 1.927660+3-1.229210+1 2.098440+3-1.337390+1 2.200660+3-1.437660+1420027506 2056 2.299520+3-1.576250+1 2.369210+3-1.726630+1 2.398460+3-1.811370+1420027506 2057 2.439140+3-1.976560+1 2.463950+3-2.133250+1 2.475240+3-2.238450+1420027506 2058 2.481930+3-2.313940+1 2.486590+3-2.371960+1 2.492590+3-2.450590+1420027506 2059 2.496030+3-2.497180+1 2.500430+3-2.554380+1 2.505250+3-2.611220+1420027506 2060 2.510660+3-2.662500+1 2.520800+3-2.704190+1 2.532330+3-2.663380+1420027506 2061 2.542420+3-2.576080+1 2.548990+3-2.500790+1 2.561750+3-2.375970+1420027506 2062 2.575140+3-2.286360+1 2.593470+3-2.240240+1 2.607960+3-2.255820+1420027506 2063 2.623790+3-2.237630+1 2.629100+3-2.228440+1 2.641780+3-2.158150+1420027506 2064 2.655350+3-2.047370+1 2.673140+3-1.907720+1 2.687210+3-1.811810+1420027506 2065 2.718480+3-1.661070+1 2.767800+3-1.519910+1 2.802220+3-1.486460+1420027506 2066 2.823180+3-1.491280+1 2.845760+3-1.470750+1 2.856750+3-1.439930+1420027506 2067 2.881950+3-1.325250+1 2.907840+3-1.214370+1 2.927300+3-1.151430+1420027506 2068 2.993800+3-9.891150+0 3.043880+3-8.915320+0 3.106480+3-7.924250+0420027506 2069 3.258630+3-6.127620+0 3.369370+3-5.097150+0 3.423340+3-4.698860+0420027506 2070 3.592060+3-3.635800+0 3.672780+3-3.213360+0 3.757370+3-2.861460+0420027506 2071 3.844750+3-2.552270+0 3.945970+3-2.195800+0 4.009610+3-2.029110+0420027506 2072 4.072830+3-1.888750+0 4.207960+3-1.560400+0 4.289950+3-1.389560+0420027506 2073 4.401570+3-1.223310+0 4.633850+3-8.644210-1 4.769760+3-7.309850-1420027506 2074 4.929560+3-6.012610-1 5.005720+3-5.326560-1 5.169350+3-4.085610-1420027506 2075 5.235950+3-3.777460-1 5.427560+3-3.002600-1 5.508170+3-2.660200-1420027506 2076 5.593620+3-2.395820-1 5.742850+3-2.097930-1 5.994850+3-1.767480-1420027506 2077 6.121991+3-1.578160-1 6.259950+3-1.406490-1 6.284170+3-1.381630-1420027506 2078 6.374390+3-1.338480-1 6.466660+3-1.370610-1 6.623670+3-1.449410-1420027506 2079 6.781840+3-1.474660-1 7.067790+3-1.639240-1 7.123300+3-1.689130-1420027506 2080 7.292510+3-1.939990-1 7.823130+3-2.504310-1 7.911560+3-2.623320-1420027506 2081 8.059000+3-2.892140-1 8.477770+3-3.495250-1 8.786550+3-4.056860-1420027506 2082 9.297470+3-5.143020-1 9.626020+3-5.807950-1 9.922010+3-6.412110-1420027506 2083 1.058500+4-7.679950-1 1.133110+4-9.176740-1 1.199090+4-1.072610+0420027506 2084 1.310520+4-1.308650+0 1.414900+4-1.570670+0 1.463890+4-1.690970+0420027506 2085 1.588830+4-2.070740+0 1.660930+4-2.333450+0 1.724860+4-2.621420+0420027506 2086 1.820750+4-3.223670+0 1.868690+4-3.679480+0 1.920970+4-4.475430+0420027506 2087 1.939980+4-4.950420+0 1.951140+4-5.345000+0 1.956510+4-5.587600+0420027506 2088 1.961790+4-5.869270+0 1.965440+4-6.090050+0 1.969140+4-6.335040+0420027506 2089 1.971630+4-6.506890+0 1.973910+4-6.669670+0 1.976650+4-6.864740+0420027506 2090 1.980140+4-7.104090+0 1.983980+4-7.341610+0 1.988280+4-7.554960+0420027506 2091 1.995640+4-7.704740+0 2.002990+4-7.577280+0 2.011330+4-7.158440+0420027506 2092 2.018650+4-6.638910+0 2.028210+4-5.977690+0 2.033660+4-5.613090+0420027506 2093 2.044900+4-5.072810+0 2.071840+4-4.171680+0 2.089530+4-3.719550+0420027506 2094 2.122700+4-3.100960+0 2.151720+4-2.681810+0 2.202510+4-2.102700+0420027506 2095 2.240600+4-1.754650+0 2.300480+4-1.316050+0 2.354880+4-1.015900+0420027506 2096 2.486140+4-4.570170-1 2.551560+4-2.323170-1 2.584340+4-1.396780-1420027506 2097 2.650820+4-7.550890-3 2.658820+4 8.428250-3 2.705610+4 1.020290-1420027506 2098 2.749850+4 1.812940-1 2.771980+4 2.151230-1 2.848800+4 3.019670-1420027506 2099 2.885200+4 3.372550-1 2.915620+4 3.518290-1 3.045970+4 4.514640-1420027506 2100 3.087850+4 4.707480-1 3.115980+4 4.706720-1 3.380970+4 6.045710-1420027506 2101 3.424560+4 6.163930-1 3.485000+4 6.142430-1 3.844260+4 6.690120-1420027506 2102 4.224940+4 6.786460-1 5.269850+4 6.242790-1 7.181990+4 4.716000-1420027506 2103 8.535060+4 3.864780-1 9.764160+4 3.240020-1 1.143200+5 2.619950-1420027506 2104 1.312290+5 2.136880-1 1.507770+5 1.725490-1 1.697400+5 1.426380-1420027506 2105 2.006730+5 1.082580-1 2.151150+5 9.570640-2 2.335380+5 8.262450-2420027506 2106 2.487830+5 7.364270-2 2.672280+5 6.447880-2 3.045900+5 4.986080-2420027506 2107 3.441320+5 3.898600-2 3.793150+5 3.195120-2 4.049960+5 2.766710-2420027506 2108 4.366530+5 2.329430-2 4.622550+5 2.027190-2 4.911290+5 1.742460-2420027506 2109 5.524000+5 1.281660-2 6.006990+5 1.001010-2 6.623670+5 7.228740-3420027506 2110 7.085680+5 5.606800-3 7.682820+5 3.924150-3 8.226280+5 2.699710-3420027506 2111 9.197270+5 1.034510-3 9.807260+5 2.443870-4 1.000000+6 0.000000+0420027506 2112 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0420027506 2113 420027 0 2114 4200 0 0 2115 0 0 0 2116 4.300000+4 9.607400+1 -1 0 0 14300 1451 1 0.000000+0 0.000000+0 0 0 0 64300 1451 2 0.000000+0 0.000000+0 0 0 3 64300 1451 3 0.000000+0 0.000000+0 0 0 126 274300 1451 4 43-TC- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4300 1451 6 ----ENDF/B-VI MATERIAL 4300 4300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4300 1451 8 ------ENDF-6 FORMAT 4300 1451 9 =================================================================4300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4300 1451 11 ENDF/B-VI FORMAT 4300 1451 12 =================================================================4300 1451 13 CONTENTS 4300 1451 14 =================================================================4300 1451 15 MF/MT DESCRIPTION 4300 1451 16 =================================================================4300 1451 17 23/501 TOTAL CROSS SECTION 4300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4300 1451 39 =================================================================4300 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4300 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4300 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4300 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4300 1451 44 =================================================================4300 1451 45 WARNING 4300 1451 46 =================================================================4300 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4300 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4300 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4300 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4300 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4300 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4300 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4300 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4300 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4300 1451 56 =================================================================4300 1451 57 DEFINITION OF NEW TYPES OF DATA 4300 1451 58 =================================================================4300 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4300 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4300 1451 61 4300 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4300 1451 63 C2 FIELDS ARE, 4300 1451 64 4300 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4300 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4300 1451 67 4300 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4300 1451 69 4300 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4300 1451 71 4300 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4300 1451 73 T = THE THOMSON CROSS SECTION 4300 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4300 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4300 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4300 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4300 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4300 1451 79 4300 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4300 1451 81 4300 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4300 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4300 1451 84 =================================================================4300 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4300 1451 86 =================================================================4300 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4300 1451 88 HERE - 10 EV TO 100 MEV 4300 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4300 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4300 1451 91 HERE - PHOTON INTERACTION 4300 1451 92 - AVERAGE FLUORESCENCE YIELD 4300 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4300 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4300 1451 95 HERE - NO SECONDARY ENERGY DATA 4300 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4300 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4300 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4300 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4300 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4300 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4300 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4300 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4300 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4300 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4300 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4300 1451 107 =================================================================4300 1451 108 REFERENCES 4300 1451 109 =================================================================4300 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4300 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4300 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4300 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4300 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4300 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4300 1451 116 4300 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4300 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4300 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4300 1451 120 OF THE DATA, ETC. 4300 1451 121 =================================================================4300 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4300 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4300 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4300 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4300 1451 126 *RECONSTRUCTED MT NUMBERS 4300 1451 127 516 =+(515,515)+(517,517) 4300 1451 128 522 =+(534,572) 4300 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4300 1451 130 1 451 157 14300 1451 131 23 501 441 14300 1451 132 23 502 75 14300 1451 133 23 504 24 14300 1451 134 23 515 17 14300 1451 135 23 516 37 14300 1451 136 23 517 24 14300 1451 137 23 522 335 14300 1451 138 23 534 32 14300 1451 139 23 535 38 14300 1451 140 23 536 44 14300 1451 141 23 537 44 14300 1451 142 23 538 43 14300 1451 143 23 539 48 14300 1451 144 23 540 48 14300 1451 145 23 541 64 14300 1451 146 23 542 65 14300 1451 147 23 543 47 14300 1451 148 23 544 54 14300 1451 149 23 545 55 14300 1451 150 23 546 72 14300 1451 151 23 547 72 14300 1451 152 23 550 57 14300 1451 153 27 502 51 14300 1451 154 27 504 44 14300 1451 155 27 505 60 14300 1451 156 27 506 91 14300 1451 157 4300 1 0 158 4300 0 0 159 4.300000+4 9.607400+1 0 0 0 0430023501 160 0.000000+0 0.000000+0 0 0 1 1312430023501 161 1312 2 0 0 0 0430023501 162 1.000000+1 1.336960+7 1.025660+1 1.373860+7 1.045350+1 1.402390+7430023501 163 1.075580+1 1.446450+7 1.106680+1 1.492030+7 1.137340+1 1.537200+7430023501 164 1.154780+1 1.562960+7 1.168840+1 1.583720+7 1.205860+1 1.638550+7430023501 165 1.209620+1 1.644120+7 1.223530+1 1.664740+7 1.271170+1 1.735480+7430023501 166 1.287460+1 1.759680+7 1.303620+1 1.783710+7 1.337590+1 1.834220+7430023501 167 1.391330+1 1.914180+7 1.407860+1 1.938800+7 1.431460+1 1.973940+7430023501 168 1.452430+1 2.005160+7 1.500000+1 2.076020+7 1.554920+1 2.140910+7430023501 169 1.565480+1 2.153400+7 1.604630+1 2.199680+7 1.688590+1 2.299010+7430023501 170 1.695460+1 2.307140+7 1.741970+1 2.362180+7 1.766950+1 2.391750+7430023501 171 1.879870+1 2.525450+7 1.917760+1 2.570350+7 1.988080+1 2.653670+7430023501 172 2.000000+1 2.667800+7 2.111290+1 2.747930+7 2.216390+1 2.823500+7430023501 173 2.299120+1 2.882990+7 2.309400+1 2.885010+7 2.326720+1 2.888420+7430023501 174 2.524030+1 2.927100+7 2.528320+1 2.927940+7 2.748440+1 2.838560+7430023501 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4.960000+1 1.063520+7430023501 188 5.007440+1 1.026980+7 5.055200+1 9.901980+6 5.122770+1 9.381540+6430023501 189 5.205850+1 8.826420+6 5.279420+1 8.334840+6 5.377420+1 7.693360+6430023501 190 5.412340+1 7.495400+6 5.486040+1 7.077600+6 5.628190+1 6.271760+6430023501 191 5.676840+1 6.029100+6 5.856490+1 5.189390+6 5.873410+1 5.112530+6430023501 192 5.918850+1 4.931590+6 5.982110+1 4.679700+6 6.063830+1 4.375510+6430023501 193 6.116730+1 4.185720+6 6.310140+1 3.577920+6 6.327430+1 3.523580+6430023501 194 6.357060+1 3.436250+6 6.444500+1 3.211420+6 6.606830+1 2.815580+6430023501 195 6.655220+1 2.710870+6 6.800570+1 2.417010+6 6.862120+1 2.308910+6430023501 196 7.000000+1 2.078450+6 7.084690+1 1.952210+6 7.117820+1 1.905490+6430023501 197 7.162260+1 1.848110+6 7.322920+1 1.649990+6 7.328800+1 1.643100+6430023501 198 7.412660+1 1.552680+6 7.437960+1 1.525390+6 7.459020+1 1.502690+6430023501 199 7.539820+1 1.419380+6 7.545050+1 1.414260+6 7.553770+1 1.406460+6430023501 200 7.561790+1 1.399280+6 7.585000+1 1.380170+6 7.585000+1 1.553640+6430023501 201 7.703320+1 1.458070+6 7.712920+1 1.450780+6 7.777810+1 1.401470+6430023501 202 7.866890+1 1.338430+6 7.963640+1 1.282120+6 8.000000+1 1.262100+6430023501 203 8.146150+1 1.188710+6 8.178640+1 1.173120+6 8.239070+1 1.145900+6430023501 204 8.342780+1 1.102300+6 8.361270+1 1.094530+6 8.370700+1 1.090930+6430023501 205 8.475760+1 1.052460+6 8.485280+1 1.048870+6 8.738850+1 9.691660+5430023501 206 8.771080+1 9.607680+5 8.795450+1 9.547290+5 8.868460+1 9.366830+5430023501 207 8.933990+1 9.239160+5 8.977910+1 9.160860+5 9.000000+1 9.121480+5430023501 208 9.060480+1 9.039800+5 9.240210+1 8.797050+5 9.612600+1 8.402040+5430023501 209 1.000000+2 8.063530+5 1.000130+2 8.063090+5 1.051990+2 7.887100+5430023501 210 1.099690+2 7.786840+5 1.104000+2 7.780270+5 1.106680+2 7.776200+5430023501 211 1.228630+2 7.897580+5 1.243460+2 7.918130+5 1.259660+2 7.933810+5430023501 212 1.264160+2 7.939420+5 1.288420+2 7.982970+5 1.312690+2 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3.000000+7 3.426950-7430023550 1913 3.464100+7 2.944950-7 4.229490+7 2.387870-7 5.000000+7 2.005860-7430023550 1914 6.000000+7 1.661750-7 6.928200+7 1.433130-7 8.458970+7 1.167590-7430023550 1915 1.000000+8 9.843090-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0430023550 1916 430023 0 1917 4300 0 0 1918 4.300000+4 9.607400+1 0 0 0 0430027502 1919 0.000000+0 4.300000+1 0 0 2 142430027502 1920 2 2 142 5 0 0430027502 1921 0.000000+0 4.300000+1 1.000000-3 4.300000+1 5.000000-3 4.298500+1430027502 1922 7.500000-3 4.296770+1 1.000000-2 4.295100+1 1.375000-2 4.291220+1430027502 1923 1.500000-2 4.289600+1 2.000000-2 4.281600+1 2.500000-2 4.271400+1430027502 1924 3.000000-2 4.259200+1 3.500000-2 4.244890+1 4.000000-2 4.229100+1430027502 1925 4.500000-2 4.211420+1 5.000000-2 4.192400+1 5.500000-2 4.171600+1430027502 1926 5.875000-2 4.155180+1 6.437500-2 4.129010+1 6.500000-2 4.126020+1430027502 1927 7.000000-2 4.102200+1 7.500000-2 4.077220+1 8.250000-2 4.038080+1430027502 1928 8.500000-2 4.025010+1 9.000000-2 3.998200+1 9.750000-2 3.956680+1430027502 1929 1.000000-1 3.943000+1 1.109400-1 3.881710+1 1.187500-1 3.837520+1430027502 1930 1.250000-1 3.802300+1 1.437500-1 3.696250+1 1.500000-1 3.661300+1430027502 1931 1.750000-1 3.523400+1 2.000000-1 3.389700+1 2.250000-1 3.260090+1430027502 1932 2.375000-1 3.196790+1 2.500000-1 3.135300+1 2.875000-1 2.958140+1430027502 1933 3.000000-1 2.902400+1 3.500000-1 2.694160+1 3.750000-1 2.599910+1430027502 1934 4.000000-1 2.512000+1 4.750000-1 2.282290+1 5.000000-1 2.216100+1430027502 1935 5.500000-1 2.096340+1 6.000000-1 1.990400+1 6.750000-1 1.848680+1430027502 1936 7.000000-1 1.804700+1 7.750000-1 1.678240+1 8.000000-1 1.637700+1430027502 1937 8.500000-1 1.558050+1 9.000000-1 1.481000+1 9.750000-1 1.369680+1430027502 1938 1.000000+0 1.333900+1 1.062500+0 1.247330+1 1.144500+0 1.141850+1430027502 1939 1.187500+0 1.090300+1 1.250000+0 1.020400+1 1.437500+0 8.464360+0430027502 1940 1.500000+0 8.008200+0 1.625000+0 7.258780+0 1.718800+0 6.806880+0430027502 1941 1.750000+0 6.673390+0 1.859400+0 6.259710+0 2.000000+0 5.828300+0430027502 1942 2.125000+0 5.516420+0 2.375000+0 5.018590+0 2.406300+0 4.964320+0430027502 1943 2.500000+0 4.809600+0 2.671900+0 4.543410+0 2.789100+0 4.361130+0430027502 1944 2.894500+0 4.190090+0 3.000000+0 4.009100+0 3.125000+0 3.784680+0430027502 1945 3.406300+0 3.328690+0 3.500000+0 3.208700+0 3.625000+0 3.076300+0430027502 1946 3.859400+0 2.858630+0 3.953100+0 2.768330+0 4.000000+0 2.720600+0430027502 1947 4.125000+0 2.584430+0 4.750000+0 1.937930+0 5.000000+0 1.744500+0430027502 1948 5.179700+0 1.640940+0 5.330100+0 1.569450+0 5.569300+0 1.476380+0430027502 1949 5.892300+0 1.376500+0 6.000000+0 1.347500+0 6.437500+0 1.244670+0430027502 1950 6.812500+0 1.174920+0 7.000000+0 1.146000+0 8.000000+0 1.027900+0430027502 1951 8.250000+0 9.985390-1 8.687500+0 9.453280-1 9.015600+0 9.052680-1430027502 1952 9.507800+0 8.467810-1 1.000000+1 7.917000-1 1.089800+1 7.015400-1430027502 1953 1.165000+1 6.346480-1 1.243500+1 5.716140-1 1.307700+1 5.244590-1430027502 1954 1.375000+1 4.788700-1 1.376400+1 4.779630-1 1.438200+1 4.393090-1430027502 1955 1.500000+1 4.034800-1 1.589800+1 3.560030-1 1.665000+1 3.204510-1430027502 1956 1.748800+1 2.851290-1 1.838500+1 2.519350-1 1.946200+1 2.176620-1430027502 1957 2.000000+1 2.026000-1 2.139200+1 1.689780-1 2.272600+1 1.428240-1430027502 1958 2.443000+1 1.161400-1 2.602800+1 9.641900-2 2.825100+1 7.532190-2430027502 1959 3.097000+1 5.667680-2 3.438900+1 4.063340-2 3.725100+1 3.135280-2430027502 1960 4.180400+1 2.142210-2 4.795100+1 1.350880-2 5.000000+1 1.172200-2430027502 1961 5.750000+1 7.274090-3 7.437500+1 2.998780-3 8.000000+1 2.331300-3430027502 1962 1.000000+2 1.081100-3 1.205000+2 5.728410-4 1.418200+2 3.308960-4430027502 1963 1.711700+2 1.767710-4 2.014900+2 1.031930-4 2.264400+2 7.040760-5430027502 1964 2.747900+2 3.754810-5 3.201200+2 2.296080-5 4.051000+2 1.082990-5430027502 1965 4.794600+2 6.353150-6 6.096000+2 2.989270-6 8.048000+2 1.259320-6430027502 1966 1.000000+3 6.438800-7 1.342800+3 2.606030-7 1.774400+3 1.114470-7430027502 1967 2.633300+3 3.376670-8 3.757200+3 1.162350-8 6.611900+3 2.164920-9430027502 1968 8.872031+3 9.12440-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0430027502 1969 430027 0 1970 4.300000+4 9.607400+1 0 0 0 0430027504 1971 0.000000+0 4.300000+1 0 0 2 121430027504 1972 2 2 121 5 0 0430027504 1973 0.000000+0 0.000000+0 1.000000-3 7.200000-4 5.000000-3 1.800000-2430027504 1974 7.500000-3 4.059450-2 1.000000-2 7.200000-2 1.375000-2 1.348850-1430027504 1975 1.500000-2 1.600000-1 2.000000-2 2.805000-1 2.500000-2 4.307000-1430027504 1976 3.000000-2 6.072000-1 3.500000-2 8.063590-1 4.000000-2 1.024500+0430027504 1977 4.500000-2 1.257630+0 5.000000-2 1.502000+0 5.500000-2 1.753890+0430027504 1978 5.875000-2 1.946060+0 6.437500-2 2.236500+0 6.500000-2 2.268850+0430027504 1979 7.000000-2 2.526700+0 7.500000-2 2.781790+0 8.250000-2 3.157350+0430027504 1980 8.500000-2 3.280020+0 9.000000-2 3.521600+0 9.750000-2 3.872640+0430027504 1981 1.000000-1 3.987000+0 1.109400-1 4.471810+0 1.187500-1 4.804980+0430027504 1982 1.250000-1 5.065600+0 1.437500-1 5.820990+0 1.500000-1 6.067000+0430027504 1983 1.750000-1 7.035300+0 2.000000-1 7.984000+0 2.250000-1 8.908890+0430027504 1984 2.375000-1 9.361450+0 2.500000-1 9.806500+0 2.875000-1 1.109490+1430027504 1985 3.000000-1 1.151200+1 3.500000-1 1.312290+1 3.750000-1 1.389750+1430027504 1986 4.000000-1 1.465300+1 4.750000-1 1.679260+1 5.000000-1 1.745600+1430027504 1987 5.500000-1 1.869360+1 6.000000-1 1.981600+1 6.750000-1 2.129900+1430027504 1988 7.000000-1 2.174800+1 7.750000-1 2.298530+1 8.000000-1 2.337000+1430027504 1989 8.500000-1 2.410180+1 9.000000-1 2.479700+1 9.750000-1 2.577810+1430027504 1990 1.000000+0 2.609300+1 1.062500+0 2.684990+1 1.144500+0 2.778380+1430027504 1991 1.187500+0 2.825150+1 1.250000+0 2.890100+1 1.437500+0 3.065020+1430027504 1992 1.500000+0 3.117300+1 1.625000+0 3.212970+1 1.718800+0 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2.572590-1 1.399390+5 2.110920-1430027506 2159 1.607080+5 1.702420-1 1.761700+5 1.473040-1 2.006730+5 1.183140-1430027506 2160 2.151150+5 1.049630-1 2.326710+5 9.132440-2 2.488670+5 8.088610-2430027506 2161 2.668810+5 7.108850-2 3.045700+5 5.491340-2 3.441320+5 4.296930-2430027506 2162 3.793150+5 3.524130-2 4.049960+5 3.052820-2 4.366530+5 2.571240-2430027506 2163 4.612990+5 2.249550-2 4.896520+5 1.937070-2 5.530550+5 1.411830-2430027506 2164 6.000000+5 1.109990-2 6.623670+5 7.987580-3 7.085680+5 6.194770-3430027506 2165 7.682820+5 4.335270-3 8.226280+5 2.983320-3 9.197270+5 1.142310-3430027506 2166 9.808360+5 2.687530-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0430027506 2167 430027 0 2168 4300 0 0 2169 0 0 0 2170 4.400000+4 1.002020+2 -1 0 0 14400 1451 1 0.000000+0 0.000000+0 0 0 0 64400 1451 2 0.000000+0 0.000000+0 0 0 3 64400 1451 3 0.000000+0 0.000000+0 0 0 126 274400 1451 4 44-RU- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4400 1451 6 ----ENDF/B-VI MATERIAL 4400 4400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4400 1451 8 ------ENDF-6 FORMAT 4400 1451 9 =================================================================4400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4400 1451 11 ENDF/B-VI FORMAT 4400 1451 12 =================================================================4400 1451 13 CONTENTS 4400 1451 14 =================================================================4400 1451 15 MF/MT DESCRIPTION 4400 1451 16 =================================================================4400 1451 17 23/501 TOTAL CROSS SECTION 4400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4400 1451 39 =================================================================4400 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4400 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4400 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4400 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4400 1451 44 =================================================================4400 1451 45 WARNING 4400 1451 46 =================================================================4400 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4400 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4400 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4400 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4400 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4400 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4400 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4400 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4400 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4400 1451 56 =================================================================4400 1451 57 DEFINITION OF NEW TYPES OF DATA 4400 1451 58 =================================================================4400 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4400 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4400 1451 61 4400 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4400 1451 63 C2 FIELDS ARE, 4400 1451 64 4400 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4400 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4400 1451 67 4400 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4400 1451 69 4400 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4400 1451 71 4400 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4400 1451 73 T = THE THOMSON CROSS SECTION 4400 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4400 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4400 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4400 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4400 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4400 1451 79 4400 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4400 1451 81 4400 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4400 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4400 1451 84 =================================================================4400 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4400 1451 86 =================================================================4400 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4400 1451 88 HERE - 10 EV TO 100 MEV 4400 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4400 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4400 1451 91 HERE - PHOTON INTERACTION 4400 1451 92 - AVERAGE FLUORESCENCE YIELD 4400 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4400 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4400 1451 95 HERE - NO SECONDARY ENERGY DATA 4400 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4400 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4400 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4400 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4400 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4400 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4400 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4400 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4400 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4400 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4400 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4400 1451 107 =================================================================4400 1451 108 REFERENCES 4400 1451 109 =================================================================4400 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4400 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4400 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4400 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4400 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4400 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4400 1451 116 4400 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4400 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4400 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4400 1451 120 OF THE DATA, ETC. 4400 1451 121 =================================================================4400 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4400 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4400 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4400 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4400 1451 126 *RECONSTRUCTED MT NUMBERS 4400 1451 127 516 =+(515,515)+(517,517) 4400 1451 128 522 =+(534,572) 4400 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4400 1451 130 1 451 157 14400 1451 131 23 501 437 14400 1451 132 23 502 73 14400 1451 133 23 504 25 14400 1451 134 23 515 17 14400 1451 135 23 516 38 14400 1451 136 23 517 24 14400 1451 137 23 522 331 14400 1451 138 23 534 32 14400 1451 139 23 535 38 14400 1451 140 23 536 44 14400 1451 141 23 537 44 14400 1451 142 23 538 43 14400 1451 143 23 539 47 14400 1451 144 23 540 48 14400 1451 145 23 541 63 14400 1451 146 23 542 63 14400 1451 147 23 543 46 14400 1451 148 23 544 54 14400 1451 149 23 545 54 14400 1451 150 23 546 71 14400 1451 151 23 547 71 14400 1451 152 23 550 57 14400 1451 153 27 502 49 14400 1451 154 27 504 42 14400 1451 155 27 505 62 14400 1451 156 27 506 91 14400 1451 157 4400 1 0 158 4400 0 0 159 4.400000+4 1.002020+2 0 0 0 0440023501 160 0.000000+0 0.000000+0 0 0 1 1302440023501 161 1302 2 0 0 0 0440023501 162 1.000000+1 1.096480+7 1.024040+1 1.128360+7 1.044100+1 1.155390+7440023501 163 1.053610+1 1.168340+7 1.066040+1 1.185280+7 1.086170+1 1.212940+7440023501 164 1.106680+1 1.241310+7 1.109350+1 1.245020+7 1.133460+1 1.278600+7440023501 165 1.156920+1 1.311400+7 1.168840+1 1.328100+7 1.195870+1 1.366070+7440023501 166 1.208030+1 1.383180+7 1.223530+1 1.404990+7 1.229830+1 1.413880+7440023501 167 1.253090+1 1.446680+7 1.283370+1 1.489420+7 1.328030+1 1.552540+7440023501 168 1.334400+1 1.561540+7 1.391330+1 1.642080+7 1.440340+1 1.711460+7440023501 169 1.444650+1 1.717560+7 1.462310+1 1.742570+7 1.500000+1 1.795950+7440023501 170 1.554920+1 1.873760+7 1.611850+1 1.954460+7 1.638110+1 1.991680+7440023501 171 1.689640+1 2.064770+7 1.732050+1 2.124940+7 1.762390+1 2.166990+7440023501 172 1.773290+1 2.182110+7 1.843820+1 2.279910+7 1.908980+1 2.370310+7440023501 173 1.946520+1 2.422400+7 2.000000+1 2.496630+7 2.103980+1 2.618520+7440023501 174 2.163400+1 2.688140+7 2.242480+1 2.780780+7 2.270170+1 2.813200+7440023501 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1.624180+4-1.644480+0440027506 2122 1.743150+4-1.963800+0 1.837450+4-2.273810+0 1.908180+4-2.561170+0440027506 2123 2.015190+4-3.170110+0 2.067310+4-3.614840+0 2.124160+4-4.387140+0440027506 2124 2.145190+4-4.853510+0 2.158520+4-5.277130+0 2.164460+4-5.521650+0440027506 2125 2.170300+4-5.806170+0 2.174340+4-6.029530+0 2.178440+4-6.277380+0440027506 2126 2.181190+4-6.451080+0 2.183710+4-6.615420+0 2.186740+4-6.811940+0440027506 2127 2.190600+4-7.051990+0 2.194840+4-7.287990+0 2.199610+4-7.493840+0440027506 2128 2.209290+4-7.625800+0 2.218980+4-7.368470+0 2.227950+4-6.842750+0440027506 2129 2.236550+4-6.240890+0 2.247430+4-5.547760+0 2.257800+4-5.000160+0440027506 2130 2.277250+4-4.295560+0 2.311280+4-3.511960+0 2.336810+4-3.085800+0440027506 2131 2.375090+4-2.589980+0 2.413380+4-2.218310+0 2.503950+4-1.560480+0440027506 2132 2.549240+4-1.304740+0 2.594530+4-1.105390+0 2.699130+4-7.231320-1440027506 2133 2.751430+4-5.607710-1 2.803730+4-4.381960-1 2.940440+4-1.541750-1440027506 2134 3.008800+4-2.780390-2 3.042980+4 2.492380-2 3.209480+4 2.162450-1440027506 2135 3.308720+4 3.185680-1 3.359750+4 3.473080-1 3.495920+4 4.416520-1440027506 2136 3.557930+4 4.741160-1 3.611550+4 4.838650-1 3.868160+4 5.938360-1440027506 2137 3.926680+4 6.064390-1 3.956710+4 6.052870-1 4.267060+4 6.483080-1440027506 2138 4.417150+4 6.590030-1 4.901110+4 6.615710-1 6.073490+4 6.016460-1440027506 2139 7.830050+4 4.792070-1 9.167729+4 3.998300-1 1.055470+5 3.354620-1440027506 2140 1.224290+5 2.743750-1 1.423040+5 2.204440-1 1.619640+5 1.806420-1440027506 2141 1.737650+5 1.616450-1 2.006730+5 1.273160-1 2.151150+5 1.130540-1440027506 2142 2.326710+5 9.851870-2 2.488670+5 8.729320-2 2.668810+5 7.673890-2440027506 2143 2.853300+5 6.754240-2 3.045700+5 5.933550-2 3.441320+5 4.646990-2440027506 2144 3.793150+5 3.813580-2 4.049960+5 3.303260-2 4.366530+5 2.782540-2440027506 2145 4.641580+5 2.400530-2 4.912600+5 2.080500-2 5.530550+5 1.527420-2440027506 2146 6.062740+5 1.168020-2 6.623670+5 8.683050-3 7.088130+5 6.724570-3440027506 2147 7.688860+5 4.696900-3 8.226280+5 3.243460-3 9.197270+5 1.243300-3440027506 2148 9.807250+5 2.933050-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0440027506 2149 440027 0 2150 4400 0 0 2151 0 0 0 2152 4.500000+4 1.020220+2 -1 0 0 14500 1451 1 0.000000+0 0.000000+0 0 0 0 64500 1451 2 0.000000+0 0.000000+0 0 0 3 64500 1451 3 0.000000+0 0.000000+0 0 0 126 274500 1451 4 45-RH- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4500 1451 6 ----ENDF/B-VI MATERIAL 4500 4500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4500 1451 8 ------ENDF-6 FORMAT 4500 1451 9 =================================================================4500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4500 1451 11 ENDF/B-VI FORMAT 4500 1451 12 =================================================================4500 1451 13 CONTENTS 4500 1451 14 =================================================================4500 1451 15 MF/MT DESCRIPTION 4500 1451 16 =================================================================4500 1451 17 23/501 TOTAL CROSS SECTION 4500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4500 1451 39 =================================================================4500 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4500 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4500 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4500 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4500 1451 44 =================================================================4500 1451 45 WARNING 4500 1451 46 =================================================================4500 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4500 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4500 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4500 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4500 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4500 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4500 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4500 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4500 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4500 1451 56 =================================================================4500 1451 57 DEFINITION OF NEW TYPES OF DATA 4500 1451 58 =================================================================4500 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4500 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4500 1451 61 4500 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4500 1451 63 C2 FIELDS ARE, 4500 1451 64 4500 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4500 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4500 1451 67 4500 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4500 1451 69 4500 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4500 1451 71 4500 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4500 1451 73 T = THE THOMSON CROSS SECTION 4500 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4500 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4500 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4500 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4500 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4500 1451 79 4500 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4500 1451 81 4500 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4500 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4500 1451 84 =================================================================4500 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4500 1451 86 =================================================================4500 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4500 1451 88 HERE - 10 EV TO 100 MEV 4500 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4500 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4500 1451 91 HERE - PHOTON INTERACTION 4500 1451 92 - AVERAGE FLUORESCENCE YIELD 4500 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4500 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4500 1451 95 HERE - NO SECONDARY ENERGY DATA 4500 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4500 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4500 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4500 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4500 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4500 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4500 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4500 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4500 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4500 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4500 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4500 1451 107 =================================================================4500 1451 108 REFERENCES 4500 1451 109 =================================================================4500 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4500 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4500 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4500 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4500 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4500 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4500 1451 116 4500 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4500 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4500 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4500 1451 120 OF THE DATA, ETC. 4500 1451 121 =================================================================4500 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4500 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4500 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4500 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4500 1451 126 *RECONSTRUCTED MT NUMBERS 4500 1451 127 516 =+(515,515)+(517,517) 4500 1451 128 522 =+(534,572) 4500 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4500 1451 130 1 451 157 14500 1451 131 23 501 449 14500 1451 132 23 502 74 14500 1451 133 23 504 25 14500 1451 134 23 515 17 14500 1451 135 23 516 38 14500 1451 136 23 517 24 14500 1451 137 23 522 342 14500 1451 138 23 534 31 14500 1451 139 23 535 37 14500 1451 140 23 536 43 14500 1451 141 23 537 44 14500 1451 142 23 538 42 14500 1451 143 23 539 47 14500 1451 144 23 540 48 14500 1451 145 23 541 64 14500 1451 146 23 542 63 14500 1451 147 23 543 47 14500 1451 148 23 544 53 14500 1451 149 23 545 54 14500 1451 150 23 546 70 14500 1451 151 23 547 70 14500 1451 152 23 550 58 14500 1451 153 27 502 49 14500 1451 154 27 504 42 14500 1451 155 27 505 61 14500 1451 156 27 506 94 14500 1451 157 4500 1 0 158 4500 0 0 159 4.500000+4 1.020220+2 0 0 0 0450023501 160 0.000000+0 0.000000+0 0 0 1 1336450023501 161 1336 2 0 0 0 0450023501 162 1.000000+1 5.986360+6 1.011430+1 6.057440+6 1.019780+1 6.109370+6450023501 163 1.024000+1 6.135620+6 1.024000+1 9.822240+6 1.029100+1 9.876630+6450023501 164 1.033560+1 9.924190+6 1.041830+1 1.001360+7 1.068120+1 1.029770+7450023501 165 1.103370+1 1.068350+7 1.120890+1 1.087690+7 1.135980+1 1.104350+7450023501 166 1.154780+1 1.125300+7 1.162770+1 1.134200+7 1.185670+1 1.159900+7450023501 167 1.211710+1 1.189260+7 1.240250+1 1.221590+7 1.266510+1 1.251430+7450023501 168 1.293320+1 1.281970+7 1.329780+1 1.323620+7 1.342160+1 1.337780+7450023501 169 1.343550+1 1.339370+7 1.370400+1 1.370120+7 1.381190+1 1.383670+7450023501 170 1.394450+1 1.400320+7 1.407860+1 1.417180+7 1.431260+1 1.446600+7450023501 171 1.476730+1 1.503800+7 1.500000+1 1.533100+7 1.506240+1 1.541610+7450023501 172 1.513540+1 1.551560+7 1.527210+1 1.570200+7 1.579580+1 1.641640+7450023501 173 1.611750+1 1.685540+7 1.626870+1 1.706170+7 1.669410+1 1.764240+7450023501 174 1.688590+1 1.790430+7 1.695710+1 1.800150+7 1.746540+1 1.869560+7450023501 175 1.806720+1 1.951780+7 1.829910+1 1.983470+7 1.900910+1 2.080510+7450023501 176 1.988080+1 2.199700+7 2.103980+1 2.358180+7 2.166850+1 2.444100+7450023501 177 2.200210+1 2.491160+7 2.242480+1 2.550800+7 2.309400+1 2.645150+7450023501 178 2.365370+1 2.724060+7 2.413840+1 2.792370+7 2.449490+1 2.842600+7450023501 179 2.510180+1 2.916140+7 2.576840+1 2.996860+7 2.728590+1 3.127140+7450023501 180 2.773720+1 3.165880+7 2.779350+1 3.170720+7 2.924930+1 3.295670+7450023501 181 3.000000+1 3.323720+7 3.255960+1 3.348710+7 3.311840+1 3.354160+7450023501 182 3.542840+1 3.246310+7 3.544280+1 3.244890+7 3.746230+1 3.045400+7450023501 183 3.919900+1 2.873840+7 4.000000+1 2.781730+7 4.095380+1 2.653730+7450023501 184 4.485060+1 2.130780+7 4.631160+1 1.934710+7 4.695850+1 1.847900+7450023501 185 4.896490+1 1.605090+7 5.000000+1 1.489180+7 5.029660+1 1.455970+7450023501 186 5.140930+1 1.331360+7 5.238690+1 1.235790+7 5.285830+1 1.189710+7450023501 187 5.310280+1 1.168450+7 5.402940+1 1.087910+7 5.412340+1 1.079740+7450023501 188 5.423530+1 1.070020+7 5.434820+1 1.060200+7 5.443640+1 1.053470+7450023501 189 5.478000+1 1.027220+7 5.478000+1 1.260630+7 5.483580+1 1.255870+7450023501 190 5.535200+1 1.211770+7 5.577610+1 1.175540+7 5.688740+1 1.080610+7450023501 191 5.695170+1 1.075550+7 5.743700+1 1.037370+7 5.825490+1 9.794850+6450023501 192 5.859780+1 9.552190+6 5.884000+1 9.380790+6 5.884000+1 1.044930+7450023501 193 5.946260+1 9.991970+6 5.985410+1 9.704400+6 5.988220+1 9.686090+6450023501 194 6.002000+1 9.596310+6 6.143890+1 8.736990+6 6.237300+1 8.171270+6450023501 195 6.310140+1 7.720900+6 6.312710+1 7.705010+6 6.419810+1 7.083410+6450023501 196 6.472490+1 6.825250+6 6.667480+1 5.869700+6 6.735930+1 5.559290+6450023501 197 6.801000+1 5.264220+6 6.887360+1 4.932650+6 7.000000+1 4.526260+6450023501 198 7.088180+1 4.213740+6 7.097250+1 4.184520+6 7.177470+1 3.926090+6450023501 199 7.237620+1 3.746850+6 7.313530+1 3.530310+6 7.419300+1 3.261000+6450023501 200 7.437960+1 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5.667170+3-6.394120-1450027506 2134 5.723680+3-5.976320-1 5.911910+3-4.778810-1 6.130830+3-3.240640-1450027506 2135 6.164471+3-3.055090-1 6.219690+3-2.820850-1 6.588560+3-1.567000-1450027506 2136 6.640980+3-1.430800-1 6.866120+3-1.061240-1 7.111790+3-7.950620-2450027506 2137 7.325790+3-6.549930-2 7.387540+3-6.696530-2 7.700460+3-7.013570-2450027506 2138 7.862110+3-7.657160-2 8.119710+3-9.124920-2 8.157380+3-9.308300-2450027506 2139 8.410451+3-1.254640-1 8.674470+3-1.483860-1 8.939420+3-1.661140-1450027506 2140 9.027590+3-1.739020-1 9.226281+3-1.987040-1 9.590241+3-2.348790-1450027506 2141 9.806571+3-2.640030-1 1.000700+4-3.001020-1 1.025670+4-3.435670-1450027506 2142 1.090780+4-4.484180-1 1.133230+4-5.327430-1 1.228630+4-7.001180-1450027506 2143 1.315870+4-8.607640-1 1.422400+4-1.062270+0 1.542070+4-1.282330+0450027506 2144 1.713190+4-1.652130+0 1.830270+4-1.949660+0 1.940890+4-2.305110+0450027506 2145 2.011840+4-2.593670+0 2.119120+4-3.186380+0 2.170640+4-3.606410+0450027506 2146 2.230330+4-4.379410+0 2.252410+4-4.845690+0 2.266410+4-5.269130+0450027506 2147 2.272650+4-5.513520+0 2.278780+4-5.797790+0 2.283020+4-6.020820+0450027506 2148 2.287320+4-6.268310+0 2.290210+4-6.441780+0 2.292860+4-6.605920+0450027506 2149 2.296040+4-6.802240+0 2.300100+4-7.042140+0 2.304550+4-7.278270+0450027506 2150 2.309550+4-7.485550+0 2.319000+4-7.619900+0 2.328450+4-7.412550+0450027506 2151 2.337210+4-6.958390+0 2.345600+4-6.406880+0 2.356220+4-5.736200+0450027506 2152 2.366330+4-5.178740+0 2.380360+4-4.614130+0 2.409300+4-3.867590+0450027506 2153 2.429670+4-3.473320+0 2.469930+4-2.881010+0 2.530330+4-2.240250+0450027506 2154 2.590730+4-1.785420+0 2.648970+4-1.456470+0 2.699020+4-1.227470+0450027506 2155 2.828120+4-7.367010-1 2.896120+4-5.282870-1 2.929090+4-4.437630-1450027506 2156 3.093230+4-1.286590-1 3.174280+4 6.254600-3 3.191090+4 3.431500-2450027506 2157 3.359780+4 2.301880-1 3.418940+4 2.925270-1 3.467750+4 3.313080-1450027506 2158 3.499330+4 3.428170-1 3.653250+4 4.431850-1 3.707680+4 4.698060-1450027506 2159 3.764240+4 4.812420-1 3.987320+4 5.744820-1 4.306170+4 6.279500-1450027506 2160 4.683290+4 6.549540-1 5.648840+4 6.358280-1 6.335440+4 6.072520-1450027506 2161 8.320560+4 4.707920-1 9.714500+4 3.948720-1 1.143200+5 3.216150-1450027506 2162 1.312290+5 2.647900-1 1.511540+5 2.149110-1 1.740490+5 1.727680-1450027506 2163 2.006730+5 1.365460-1 2.151150+5 1.211190-1 2.348210+5 1.044240-1450027506 2164 2.528320+5 9.155040-2 2.693610+5 8.149840-2 2.926860+5 6.996910-2450027506 2165 3.311200+5 5.473120-2 3.515040+5 4.824110-2 3.779810+5 4.137940-2450027506 2166 4.041600+5 3.584720-2 4.410200+5 2.953560-2 4.657060+5 2.592310-2450027506 2167 5.057130+5 2.108580-2 5.507460+5 1.680350-2 5.882690+5 1.389080-2450027506 2168 6.366850+5 1.086800-2 6.865110+5 8.309530-3 7.507910+5 5.738270-3450027506 2169 8.137740+5 3.775580-3 8.820400+5 2.116090-3 9.806780+5 2.975680-4450027506 2170 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0450027506 2171 450027 0 2172 4500 0 0 2173 0 0 0 2174 4.600000+4 1.054860+2 -1 0 0 14600 1451 1 0.000000+0 0.000000+0 0 0 0 64600 1451 2 0.000000+0 0.000000+0 0 0 3 64600 1451 3 0.000000+0 0.000000+0 0 0 125 264600 1451 4 46-PD- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4600 1451 6 ----ENDF/B-VI MATERIAL 4600 4600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4600 1451 8 ------ENDF-6 FORMAT 4600 1451 9 =================================================================4600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4600 1451 11 ENDF/B-VI FORMAT 4600 1451 12 =================================================================4600 1451 13 CONTENTS 4600 1451 14 =================================================================4600 1451 15 MF/MT DESCRIPTION 4600 1451 16 =================================================================4600 1451 17 23/501 TOTAL CROSS SECTION 4600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4600 1451 38 =================================================================4600 1451 39 27/502 COHERENT SCATTERING FORM FACTORS 4600 1451 40 27/504 INCOHERENT SCATTERING FUNCTIONS 4600 1451 41 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4600 1451 42 27/506 COHERENT REAL SCATTERING FACTOR 4600 1451 43 =================================================================4600 1451 44 WARNING 4600 1451 45 =================================================================4600 1451 46 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4600 1451 47 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4600 1451 48 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4600 1451 49 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4600 1451 50 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4600 1451 51 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4600 1451 52 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4600 1451 53 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4600 1451 54 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4600 1451 55 =================================================================4600 1451 56 DEFINITION OF NEW TYPES OF DATA 4600 1451 57 =================================================================4600 1451 58 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4600 1451 59 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4600 1451 60 4600 1451 61 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4600 1451 62 C2 FIELDS ARE, 4600 1451 63 4600 1451 64 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4600 1451 65 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4600 1451 66 4600 1451 67 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4600 1451 68 4600 1451 69 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4600 1451 70 4600 1451 71 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4600 1451 72 T = THE THOMSON CROSS SECTION 4600 1451 73 MU = THE COSINE OF THE SCATTERING ANGLE 4600 1451 74 FF(M) = THE ATOMIC FORM FACTOR 4600 1451 75 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4600 1451 76 F1(E) = THE REAL SCATTERING FACTOR 4600 1451 77 F2(E) = THE IMAGINARY SCATTERING FACTOR 4600 1451 78 4600 1451 79 F1(E) AND F2(E) ARE ISOTROPIC. 4600 1451 80 4600 1451 81 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4600 1451 82 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4600 1451 83 =================================================================4600 1451 84 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4600 1451 85 =================================================================4600 1451 86 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4600 1451 87 HERE - 10 EV TO 100 MEV 4600 1451 88 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4600 1451 89 - FLUORESCENCE AND ELECTRON SPECTRA 4600 1451 90 HERE - PHOTON INTERACTION 4600 1451 91 - AVERAGE FLUORESCENCE YIELD 4600 1451 92 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4600 1451 93 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4600 1451 94 HERE - NO SECONDARY ENERGY DATA 4600 1451 95 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4600 1451 96 INTERPOLABLE - SUMMATION CROSS SECTIONS 4600 1451 97 (E.G., TOTAL) ARE NOT INCLUDED 4600 1451 98 - FORM FACTORS ARE LOG X VS. LOG Y 4600 1451 99 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4600 1451 100 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4600 1451 101 ORDER TO ALLOW CROSS SECTIONS DEFINED 4600 1451 102 BY SUMMATION (E.G., TOTAL) TO BE 4600 1451 103 CONSISTENTLY DEFINED AT ALL ENERGIES. 4600 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 4600 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4600 1451 106 =================================================================4600 1451 107 REFERENCES 4600 1451 108 =================================================================4600 1451 109 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4600 1451 110 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4600 1451 111 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4600 1451 112 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4600 1451 113 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4600 1451 114 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4600 1451 115 4600 1451 116 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4600 1451 117 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4600 1451 118 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4600 1451 119 OF THE DATA, ETC. 4600 1451 120 =================================================================4600 1451 121 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4600 1451 122 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4600 1451 123 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4600 1451 124 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4600 1451 125 *RECONSTRUCTED MT NUMBERS 4600 1451 126 516 =+(515,515)+(517,517) 4600 1451 127 522 =+(534,572) 4600 1451 128 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4600 1451 129 1 451 155 14600 1451 130 23 501 407 14600 1451 131 23 502 73 14600 1451 132 23 504 25 14600 1451 133 23 515 17 14600 1451 134 23 516 37 14600 1451 135 23 517 24 14600 1451 136 23 522 302 14600 1451 137 23 534 31 14600 1451 138 23 535 37 14600 1451 139 23 536 43 14600 1451 140 23 537 44 14600 1451 141 23 538 42 14600 1451 142 23 539 47 14600 1451 143 23 540 48 14600 1451 144 23 541 63 14600 1451 145 23 542 64 14600 1451 146 23 543 47 14600 1451 147 23 544 54 14600 1451 148 23 545 55 14600 1451 149 23 546 69 14600 1451 150 23 547 71 14600 1451 151 27 502 50 14600 1451 152 27 504 43 14600 1451 153 27 505 59 14600 1451 154 27 506 91 14600 1451 155 4600 1 0 156 4600 0 0 157 4.600000+4 1.054860+2 0 0 0 0460023501 158 0.000000+0 0.000000+0 0 0 1 1211460023501 159 1211 2 0 0 0 0460023501 160 1.000000+1 1.566280+7 1.149560+1 1.738120+7 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1.490920+1460027505 1904 3.274670+3 1.483120+1 3.294900+3 1.508610+1 3.311690+3 1.572940+1460027505 1905 3.361170+3 1.869660+1 3.379620+3 1.910340+1 3.409560+3 1.918880+1460027505 1906 3.530950+3 1.847240+1 3.557540+3 1.881680+1 3.609700+3 2.027610+1460027505 1907 3.643660+3 2.047740+1 4.217530+3 1.661610+1 4.822920+3 1.356210+1460027505 1908 5.525020+3 1.096180+1 6.073491+3 9.435490+0 6.930900+3 7.641990+0460027505 1909 7.955150+3 6.125500+0 8.914451+3 5.060760+0 9.691081+3 4.396500+0460027505 1910 1.062510+4 3.775050+0 1.174510+4 3.180050+0 1.297670+4 2.681130+0460027505 1911 1.422400+4 2.287400+0 1.631180+4 1.798880+0 1.794820+4 1.517810+0460027505 1912 2.035930+4 1.215110+0 2.339010+4 9.511280-1 2.362160+4 9.362260-1460027505 1913 2.376840+4 9.409220-1 2.383380+4 9.619180-1 2.389820+4 1.011810+0460027505 1914 2.394260+4 1.074330+0 2.398770+4 1.171750+0 2.404580+4 1.363220+0460027505 1915 2.407920+4 1.513180+0 2.412170+4 1.751860+0 2.416840+4 2.075310+0460027505 1916 2.422090+4 2.508480+0 2.441640+4 4.375100+0 2.452610+4 5.190790+0460027505 1917 2.459640+4 5.533420+0 2.473170+4 5.853750+0 2.486060+4 5.918030+0460027505 1918 2.816660+4 4.864830+0 3.223930+4 3.917430+0 3.600180+4 3.241160+0460027505 1919 3.985610+4 2.714590+0 4.501460+4 2.197460+0 4.766940+4 1.989790+0460027505 1920 5.192000+4 1.711270+0 5.648840+4 1.476640+0 6.078810+4 1.292510+0460027505 1921 6.478060+4 1.150040+0 6.988540+4 9.972030-1 7.830050+4 8.067600-1460027505 1922 8.646740+4 6.714710-1 9.019490+4 6.199040-1 9.826190+4 5.299020-1460027505 1923 1.055530+5 4.626860-1 1.143200+5 3.974170-1 1.230110+5 3.456930-1460027505 1924 1.347500+5 2.906930-1 1.434780+5 2.574310-1 1.557640+5 2.201470-1460027505 1925 1.718590+5 1.826920-1 1.940230+5 1.449500-1 2.100140+5 1.251440-1460027505 1926 2.383400+5 9.912030-2 2.624580+5 8.326100-2 2.809850+5 7.351370-2460027505 1927 3.028740+5 6.411260-2 3.226910+5 5.714800-2 3.482300+5 4.998960-2460027505 1928 3.764490+5 4.388150-2 4.041600+5 3.901470-2 4.657060+5 3.091160-2460027505 1929 5.055940+5 2.712590-2 5.524000+5 2.383640-2 6.366850+5 1.945710-2460027505 1930 6.865110+5 1.759640-2 7.507910+5 1.574830-2 8.820400+5 1.294780-2460027505 1931 9.058790+5 1.259450-2 9.806770+5 1.052430-2 1.000000+6 0.000000+0460027505 1932 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0460027505 1933 460027 0 1934 4.600000+4 1.054860+2 0 0 0 0460027506 1935 0.000000+0 4.600000+1 0 0 1 264460027506 1936 264 2 0 0 0 0460027506 1937 1.000000+1-4.747710+1 1.500000+1-4.787270+1 2.384860+1-4.777520+1460027506 1938 2.812500+1-4.705370+1 3.000000+1-4.649690+1 3.466420+1-4.457730+1460027506 1939 3.858710+1-4.232970+1 4.229490+1-4.015240+1 4.779780+1-3.786320+1460027506 1940 5.047690+1-3.742110+1 5.298130+1-3.789470+1 5.404150+1-3.899790+1460027506 1941 5.433810+1-3.963300+1 5.454430+1-4.015170+1 5.474580+1-4.061730+1460027506 1942 5.509660+1-4.092450+1 5.532900+1-4.065950+1 5.553850+1-4.014580+1460027506 1943 5.573500+1-3.955550+1 5.601020+1-3.880210+1 5.655640+1-3.773400+1460027506 1944 5.779450+1-3.676580+1 5.880860+1-3.676340+1 5.919100+1-3.700240+1460027506 1945 5.970070+1-3.703060+1 6.015630+1-3.645170+1 6.041850+1-3.597910+1460027506 1946 6.080880+1-3.533550+1 6.249450+1-3.374900+1 6.580860+1-3.227380+1460027506 1947 6.926750+1-3.167500+1 7.168470+1-3.153960+1 7.462550+1-3.158000+1460027506 1948 7.823380+1-3.181030+1 8.003870+1-3.200710+1 8.253400+1-3.228540+1460027506 1949 8.485280+1-3.259910+1 8.900630+1-3.324940+1 8.998030+1-3.349450+1460027506 1950 9.063530+1-3.366760+1 9.187490+1-3.377240+1 9.296310+1-3.376950+1460027506 1951 9.815721+1-3.415560+1 1.002690+2-3.433480+1 1.060460+2-3.476540+1460027506 1952 1.119780+2-3.513470+1 1.229880+2-3.566800+1 1.674150+2-3.651950+1460027506 1953 2.000000+2-3.669320+1 2.388300+2-3.684800+1 2.576840+2-3.713850+1460027506 1954 2.965930+2-3.806310+1 3.330400+2-4.022280+1 3.400750+2-4.102530+1460027506 1955 3.574110+2-4.329060+1 3.605680+2-4.384300+1 3.662800+2-4.498850+1460027506 1956 3.711540+2-4.610400+1 3.749850+2-4.705050+1 3.790740+2-4.808430+1460027506 1957 3.837740+2-4.919110+1 3.892400+2-5.013670+1 3.950230+2-5.025660+1460027506 1958 4.008050+2-4.915690+1 4.040180+2-4.799290+1 4.089200+2-4.611770+1460027506 1959 4.138760+2-4.415320+1 4.229410+2-4.113540+1 4.356310+2-3.825410+1460027506 1960 4.537540+2-3.535140+1 4.771930+2-3.316750+1 4.994820+2-3.251260+1460027506 1961 5.140530+2-3.274190+1 5.208400+2-3.355760+1 5.246310+2-3.410020+1460027506 1962 5.289890+2-3.402310+1 5.337460+2-3.318970+1 5.426340+2-3.206730+1460027506 1963 5.507010+2-3.169780+1 5.586340+2-3.107260+1 5.667530+2-2.985880+1460027506 1964 5.937620+2-2.725460+1 6.230290+2-2.559390+1 6.424260+2-2.514730+1460027506 1965 6.508320+2-2.537710+1 6.579830+2-2.507220+1 6.663910+2-2.401060+1460027506 1966 6.829210+2-2.265320+1 7.241330+2-2.045310+1 8.078240+2-1.755890+1460027506 1967 8.944270+2-1.556990+1 1.005490+3-1.381260+1 1.075400+3-1.297290+1460027506 1968 1.230160+3-1.186030+1 1.338340+3-1.131310+1 1.527880+3-1.079860+1460027506 1969 1.715140+3-1.065410+1 1.897730+3-1.075180+1 2.160780+3-1.112340+1460027506 1970 2.408670+3-1.192680+1 2.631670+3-1.306000+1 2.773580+3-1.420710+1460027506 1971 2.905390+3-1.571660+1 2.980290+3-1.699410+1 3.044890+3-1.860600+1460027506 1972 3.086970+3-2.030860+1 3.107090+3-2.153950+1 3.118040+3-2.241820+1460027506 1973 3.127160+3-2.329710+1 3.134730+3-2.408740+1 3.139070+3-2.454640+1460027506 1974 3.144620+3-2.511020+1 3.150710+3-2.567190+1 3.157550+3-2.618150+1460027506 1975 3.170220+3-2.659720+1 3.182880+3-2.630780+1 3.197110+3-2.533700+1460027506 1976 3.208090+3-2.433270+1 3.225650+3-2.299650+1 3.244690+3-2.198370+1460027506 1977 3.274670+3-2.134480+1 3.294900+3-2.149160+1 3.311690+3-2.172870+1460027506 1978 3.332420+3-2.158020+1 3.347190+3-2.097250+1 3.361170+3-2.023340+1460027506 1979 3.379620+3-1.907940+1 3.409560+3-1.752010+1 3.450780+3-1.620430+1460027506 1980 3.493370+3-1.539790+1 3.530950+3-1.521440+1 3.557540+3-1.528480+1460027506 1981 3.583500+3-1.495380+1 3.609700+3-1.409300+1 3.643660+3-1.278260+1460027506 1982 3.675430+3-1.179530+1 3.729930+3-1.058270+1 3.816190+3-9.033750+0460027506 1983 3.891910+3-8.003690+0 3.943400+3-7.413160+0 4.065330+3-6.235550+0460027506 1984 4.217530+3-5.096720+0 4.445390+3-3.848370+0 4.724790+3-2.742530+0460027506 1985 4.822920+3-2.441350+0 5.115260+3-1.721580+0 5.243580+3-1.459090+0460027506 1986 5.353390+3-1.307780+0 5.525020+3-1.045330+0 5.623790+3-9.211490-1460027506 1987 5.959400+3-6.288900-1 6.073491+3-5.522040-1 6.447420+3-3.420600-1460027506 1988 6.510951+3-3.160130-1 6.804750+3-2.184970-1 6.930900+3-1.755790-1460027506 1989 7.004880+3-1.533410-1 7.042660+3-1.449040-1 7.387540+3-1.064700-1460027506 1990 7.586300+3-8.167700-2 7.955150+3-4.895670-2 8.178100+3-4.402230-2460027506 1991 8.268290+3-4.959230-2 8.502000+3-7.191790-2 8.703390+3-8.727980-2460027506 1992 8.914451+3-1.078140-1 9.151701+3-1.259800-1 9.389350+3-1.517590-1460027506 1993 9.468491+3-1.621100-1 9.691081+3-1.965540-1 1.025670+4-2.622430-1460027506 1994 1.049330+4-2.993330-1 1.062510+4-3.243500-1 1.143430+4-4.531690-1460027506 1995 1.174510+4-5.083680-1 1.258560+4-6.394150-1 1.297670+4-7.090800-1460027506 1996 1.357200+4-8.042250-1 1.422400+4-9.311490-1 1.553790+4-1.157080+0460027506 1997 1.631180+4-1.304300+0 1.735950+4-1.520030+0 1.794820+4-1.644770+0460027506 1998 1.919450+4-1.946010+0 2.035930+4-2.301410+0 2.109620+4-2.586040+0460027506 1999 2.222020+4-3.176180+0 2.276400+4-3.598580+0 2.339010+4-4.372470+0460027506 2000 2.362160+4-4.838610+0 2.376840+4-5.261780+0 2.383380+4-5.506230+0460027506 2001 2.389820+4-5.790570+0 2.394260+4-6.013630+0 2.398770+4-6.261160+0460027506 2002 2.401800+4-6.434660+0 2.404580+4-6.598840+0 2.407920+4-6.795220+0460027506 2003 2.412170+4-7.035230+0 2.416840+4-7.271510+0 2.422090+4-7.479180+0460027506 2004 2.431860+4-7.613680+0 2.441640+4-7.410540+0 2.452610+4-6.874230+0460027506 2005 2.459640+4-6.410330+0 2.473170+4-5.624760+0 2.486060+4-4.997520+0460027506 2006 2.510240+4-4.219180+0 2.531390+4-3.752340+0 2.568410+4-3.142860+0460027506 2007 2.623940+4-2.492230+0 2.679460+4-2.034360+0 2.776860+4-1.448370+0460027506 2008 2.816660+4-1.253260+0 2.870540+4-1.048060+0 2.986610+4-6.677890-1460027506 2009 3.039450+4-5.190470-1 3.098470+4-3.890390-1 3.223930+4-1.515240-1460027506 2010 3.280970+4-5.345490-2 3.324820+4 3.325870-3 3.341800+4 2.526460-2460027506 2011 3.464260+4 1.633450-1 3.516710+4 2.177250-1 3.560440+4 2.518810-1460027506 2012 3.600180+4 2.676850-1 3.822860+4 4.362550-1 3.906250+4 4.858810-1460027506 2013 3.964300+4 5.065430-1 3.985610+4 5.043010-1 4.231020+4 5.755430-1460027506 2014 4.395920+4 6.107800-1 4.501460+4 6.128510-1 4.766940+4 6.532160-1460027506 2015 5.192000+4 6.547780-1 6.078810+4 6.333260-1 9.019490+4 4.513350-1460027506 2016 1.055530+5 3.752370-1 1.230110+5 3.072890-1 1.434780+5 2.470390-1460027506 2017 1.557640+5 2.188570-1 1.825990+5 1.708300-1 2.100140+5 1.353160-1460027506 2018 2.383400+5 1.087600-1 2.624580+5 9.196390-2 2.809850+5 8.101860-2460027506 2019 3.028740+5 7.027880-2 3.226910+5 6.195650-2 3.482300+5 5.302800-2460027506 2020 3.764490+5 4.499430-2 4.041600+5 3.861690-2 4.413140+5 3.178200-2460027506 2021 4.657060+5 2.793370-2 5.055940+5 2.274680-2 5.524000+5 1.798090-2460027506 2022 5.882690+5 1.498920-2 6.366850+5 1.171690-2 6.865110+5 8.960930-3460027506 2023 7.507910+5 6.185700-3 8.137740+5 4.072710-3 8.820400+5 2.282380-3460027506 2024 9.806770+5 3.210820-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0460027506 2025 460027 0 2026 4600 0 0 2027 0 0 0 2028 4.700000+4 1.069410+2 -1 0 0 14700 1451 1 0.000000+0 0.000000+0 0 0 0 64700 1451 2 0.000000+0 0.000000+0 0 0 3 64700 1451 3 0.000000+0 0.000000+0 0 0 126 274700 1451 4 47-AG- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4700 1451 6 ----ENDF/B-VI MATERIAL 4700 4700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4700 1451 8 ------ENDF-6 FORMAT 4700 1451 9 =================================================================4700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4700 1451 11 ENDF/B-VI FORMAT 4700 1451 12 =================================================================4700 1451 13 CONTENTS 4700 1451 14 =================================================================4700 1451 15 MF/MT DESCRIPTION 4700 1451 16 =================================================================4700 1451 17 23/501 TOTAL CROSS SECTION 4700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4700 1451 39 =================================================================4700 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4700 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4700 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4700 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4700 1451 44 =================================================================4700 1451 45 WARNING 4700 1451 46 =================================================================4700 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4700 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4700 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4700 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4700 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4700 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4700 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4700 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4700 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4700 1451 56 =================================================================4700 1451 57 DEFINITION OF NEW TYPES OF DATA 4700 1451 58 =================================================================4700 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4700 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4700 1451 61 4700 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4700 1451 63 C2 FIELDS ARE, 4700 1451 64 4700 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4700 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4700 1451 67 4700 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4700 1451 69 4700 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4700 1451 71 4700 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4700 1451 73 T = THE THOMSON CROSS SECTION 4700 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4700 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4700 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4700 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4700 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4700 1451 79 4700 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4700 1451 81 4700 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4700 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4700 1451 84 =================================================================4700 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4700 1451 86 =================================================================4700 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4700 1451 88 HERE - 10 EV TO 100 MEV 4700 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4700 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4700 1451 91 HERE - PHOTON INTERACTION 4700 1451 92 - AVERAGE FLUORESCENCE YIELD 4700 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4700 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4700 1451 95 HERE - NO SECONDARY ENERGY DATA 4700 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4700 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4700 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4700 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4700 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4700 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4700 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4700 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4700 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4700 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4700 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4700 1451 107 =================================================================4700 1451 108 REFERENCES 4700 1451 109 =================================================================4700 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4700 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4700 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4700 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4700 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4700 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4700 1451 116 4700 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4700 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4700 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4700 1451 120 OF THE DATA, ETC. 4700 1451 121 =================================================================4700 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4700 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4700 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4700 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4700 1451 126 *RECONSTRUCTED MT NUMBERS 4700 1451 127 516 =+(515,515)+(517,517) 4700 1451 128 522 =+(534,572) 4700 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4700 1451 130 1 451 157 14700 1451 131 23 501 419 14700 1451 132 23 502 76 14700 1451 133 23 504 24 14700 1451 134 23 515 17 14700 1451 135 23 516 37 14700 1451 136 23 517 24 14700 1451 137 23 522 311 14700 1451 138 23 534 31 14700 1451 139 23 535 36 14700 1451 140 23 536 42 14700 1451 141 23 537 43 14700 1451 142 23 538 41 14700 1451 143 23 539 47 14700 1451 144 23 540 47 14700 1451 145 23 541 61 14700 1451 146 23 542 62 14700 1451 147 23 543 46 14700 1451 148 23 544 53 14700 1451 149 23 545 52 14700 1451 150 23 546 70 14700 1451 151 23 547 72 14700 1451 152 23 550 56 14700 1451 153 27 502 50 14700 1451 154 27 504 43 14700 1451 155 27 505 66 14700 1451 156 27 506 100 14700 1451 157 4700 1 0 158 4700 0 0 159 4.700000+4 1.069410+2 0 0 0 0470023501 160 0.000000+0 0.000000+0 0 0 1 1247470023501 161 1247 2 0 0 0 0470023501 162 1.000000+1 2.211260+5 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5.412340+1 2.248240+7470023501 188 5.492060+1 2.139700+7 5.603490+1 1.987980+7 5.922780+1 1.618850+7470023501 189 6.044450+1 1.478190+7 6.110760+1 1.407680+7 6.155100+1 1.368450+7470023501 190 6.251210+1 1.283410+7 6.274390+1 1.262900+7 6.310140+1 1.231260+7470023501 191 6.314000+1 1.227850+7 6.314000+1 1.403220+7 6.315050+1 1.402230+7470023501 192 6.391900+1 1.329890+7 6.429320+1 1.294660+7 6.468920+1 1.257380+7470023501 193 6.575650+1 1.164270+7 6.591160+1 1.152270+7 6.729220+1 1.045460+7470023501 194 6.784950+1 1.006150+7 6.841000+1 9.666140+6 6.841000+1 1.044170+7470023501 195 6.855590+1 1.033700+7 6.966120+1 9.623280+6 7.000000+1 9.404490+6470023501 196 7.177470+1 8.251030+6 7.237620+1 7.930250+6 7.437960+1 6.837100+6470023501 197 7.452160+1 6.759620+6 7.453910+1 6.751940+6 7.737350+1 5.551740+6470023501 198 7.952850+1 4.765150+6 8.000000+1 4.598750+6 8.088830+1 4.285240+6470023501 199 8.240590+1 3.838100+6 8.315230+1 3.621770+6 8.535320+1 3.099930+6470023501 200 8.595300+1 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2.603340+4 5.920800+0470027505 1996 2.988130+4 4.774550+0 3.408210+4 3.861450+0 3.849030+4 3.143380+0470027505 1997 4.210140+4 2.688750+0 4.731160+4 2.195570+0 5.121040+4 1.911700+0470027505 1998 5.582270+4 1.639560+0 6.142640+4 1.386280+0 6.506560+4 1.246340+0470027505 1999 7.004880+4 1.086370+0 7.460660+4 9.669590-1 8.251070+4 8.023600-1470027505 2000 9.297290+4 6.435620-1 1.003160+5 5.580430-1 1.103740+5 4.657860-1470027505 2001 1.188760+5 4.045870-1 1.263260+5 3.604350-1 1.376470+5 3.060300-1470027505 2002 1.557640+5 2.419500-1 1.718320+5 2.010460-1 1.940270+5 1.596250-1470027505 2003 2.069860+5 1.414500-1 2.211170+5 1.254940-1 2.408790+5 1.074980-1470027505 2004 2.631750+5 9.148510-2 2.809850+5 8.117510-2 3.024100+5 7.100350-2470027505 2005 3.236630+5 6.282050-2 3.435550+5 5.642610-2 3.764490+5 4.855100-2470027505 2006 4.068870+5 4.276400-2 4.657060+5 3.423080-2 5.101890+5 2.968010-2470027505 2007 5.507460+5 2.653280-2 6.407770+5 2.140110-2 6.900470+5 1.939150-2470027505 2008 8.137740+5 1.583400-2 9.101570+5 1.387610-2 9.806770+5 1.159580-2470027505 2009 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0470027505 2010 470027 0 2011 4.700000+4 1.069410+2 0 0 0 0470027506 2012 0.000000+0 4.700000+1 0 0 1 291470027506 2013 291 2 0 0 0 0470027506 2014 1.000000+1-4.782580+1 1.053290+1-4.795510+1 1.098560+1-4.814340+1470027506 2015 1.114020+1-4.823020+1 1.152430+1-4.850880+1 1.161480+1-4.862590+1470027506 2016 1.165380+1-4.868910+1 1.168680+1-4.874970+1 1.171230+1-4.880010+1470027506 2017 1.172580+1-4.882780+1 1.174210+1-4.886120+1 1.176280+1-4.890250+1470027506 2018 1.178560+1-4.894480+1 1.181120+1-4.898550+1 1.189460+1-4.903410+1470027506 2019 1.194540+1-4.900760+1 1.199830+1-4.895970+1 1.205050+1-4.891730+1470027506 2020 1.210000+1-4.890320+1 1.225320+1-4.897800+1 1.231470+1-4.902960+1470027506 2021 1.237060+1-4.908080+1 1.241870+1-4.911490+1 1.251810+1-4.910690+1470027506 2022 1.257580+1-4.905890+1 1.261350+1-4.901620+1 1.268750+1-4.894030+1470027506 2023 1.371110+1-4.887410+1 1.500000+1-4.901210+1 1.741620+1-4.946460+1470027506 2024 2.103980+1-5.006110+1 2.379460+1-5.036480+1 3.000000+1-5.025420+1470027506 2025 3.214380+1-4.977120+1 3.464100+1-4.884830+1 3.858710+1-4.651580+1470027506 2026 4.229490+1-4.372300+1 4.598630+1-4.089690+1 5.109800+1-3.791940+1470027506 2027 5.492060+1-3.651290+1 5.922780+1-3.616040+1 6.155100+1-3.698750+1470027506 2028 6.215770+1-3.763840+1 6.251210+1-3.818630+1 6.274390+1-3.852140+1470027506 2029 6.315050+1-3.877390+1 6.343210+1-3.859080+1 6.362490+1-3.831650+1470027506 2030 6.391900+1-3.782620+1 6.429320+1-3.724560+1 6.591160+1-3.616340+1470027506 2031 6.741120+1-3.618720+1 6.784950+1-3.639280+1 6.855590+1-3.637090+1470027506 2032 6.886880+1-3.614310+1 6.918750+1-3.584370+1 6.966120+1-3.539000+1470027506 2033 7.237620+1-3.408230+1 7.453910+1-3.362040+1 7.952850+1-3.325700+1470027506 2034 8.315230+1-3.336570+1 8.679170+1-3.360130+1 9.000000+1-3.392690+1470027506 2035 9.248440+1-3.420680+1 9.740040+1-3.484790+1 1.000290+2-3.537040+1470027506 2036 1.007770+2-3.558920+1 1.014440+2-3.571940+1 1.024890+2-3.576480+1470027506 2037 1.034150+2-3.569500+1 1.106090+2-3.599810+1 1.149020+2-3.622380+1470027506 2038 1.264780+2-3.673370+1 1.405960+2-3.713470+1 1.703660+2-3.743730+1470027506 2039 2.000000+2-3.746130+1 2.225760+2-3.739890+1 2.545010+2-3.739730+1470027506 2040 3.168600+2-3.833530+1 3.464100+2-3.963340+1 3.710790+2-4.154010+1470027506 2041 3.766410+2-4.231420+1 3.872980+2-4.390960+1 3.916740+2-4.477420+1470027506 2042 3.955900+2-4.564250+1 3.990030+2-4.637970+1 4.073270+2-4.756300+1470027506 2043 4.186440+2-4.795690+1 4.253780+2-4.763820+1 4.325320+2-4.686370+1470027506 2044 4.418250+2-4.540160+1 4.533100+2-4.333460+1 4.650330+2-4.123240+1470027506 2045 4.782700+2-3.902240+1 5.062720+2-3.575780+1 5.298960+2-3.409490+1470027506 2046 5.516610+2-3.365890+1 5.614480+2-3.438140+1 5.662630+2-3.497130+1470027506 2047 5.714810+2-3.475040+1 5.769450+2-3.380110+1 5.892520+2-3.237380+1470027506 2048 5.977190+2-3.202790+1 6.068770+2-3.092720+1 6.183420+2-2.943900+1470027506 2049 6.419930+2-2.758240+1 6.825870+2-2.566330+1 6.968020+2-2.573650+1470027506 2050 7.036630+2-2.573390+1 7.108190+2-2.501950+1 7.255130+2-2.346980+1470027506 2051 7.473980+2-2.206790+1 8.037980+2-1.957070+1 8.505400+2-1.810980+1470027506 2052 9.210910+2-1.634720+1 1.022600+3-1.449290+1 1.098140+3-1.355070+1470027506 2053 1.264160+3-1.210250+1 1.425870+3-1.125140+1 1.596090+3-1.081540+1470027506 2054 1.795470+3-1.065000+1 2.104010+3-1.076120+1 2.289970+3-1.111090+1470027506 2055 2.510180+3-1.177390+1 2.719340+3-1.271800+1 2.827130+3-1.338220+1470027506 2056 2.936200+3-1.427650+1 3.062820+3-1.560410+1 3.151420+3-1.704390+1470027506 2057 3.220260+3-1.869540+1 3.261630+3-2.030900+1 3.282900+3-2.154950+1470027506 2058 3.294470+3-2.243570+1 3.304100+3-2.330020+1 3.312100+3-2.408790+1470027506 2059 3.316690+3-2.454520+1 3.322550+3-2.510590+1 3.328990+3-2.566280+1470027506 2060 3.338380+3-2.622150+1 3.350910+3-2.658030+1 3.365610+3-2.618680+1470027506 2061 3.379220+3-2.520870+1 3.393050+3-2.401520+1 3.411270+3-2.269380+1470027506 2062 3.430550+3-2.175580+1 3.460690+3-2.108750+1 3.485070+3-2.119860+1470027506 2063 3.505970+3-2.151810+1 3.529020+3-2.132520+1 3.544470+3-2.079310+1470027506 2064 3.558780+3-2.002150+1 3.576520+3-1.895500+1 3.606380+3-1.741350+1470027506 2065 3.648430+3-1.615840+1 3.694690+3-1.530440+1 3.740600+3-1.513510+1470027506 2066 3.773990+3-1.506870+1 3.798960+3-1.457630+1 3.829070+3-1.349790+1470027506 2067 3.860480+3-1.237430+1 3.895620+3-1.146080+1 3.942360+3-1.048210+1470027506 2068 4.056640+3-8.745690+0 4.177920+3-7.303790+0 4.313480+3-6.054790+0470027506 2069 4.520470+3-4.642790+0 4.601570+3-4.207160+0 4.695850+3-3.797860+0470027506 2070 4.829390+3-3.248270+0 4.961540+3-2.772220+0 5.064370+3-2.492990+0470027506 2071 5.321580+3-1.871850+0 5.458900+3-1.594390+0 5.697430+3-1.244650+0470027506 2072 6.124860+3-7.547580-1 6.219690+3-6.795760-1 6.450630+3-5.085600-1470027506 2073 6.670520+3-3.631890-1 7.023310+3-2.208320-1 7.193991+3-1.704790-1470027506 2074 7.304991+3-1.442960-1 7.387540+3-1.334890-1 7.586300+3-9.988670-2470027506 2075 7.736310+3-7.343060-2 7.762120+3-6.960930-2 7.824870+3-6.384840-2470027506 2076 8.189780+3-5.201570-2 8.245161+3-5.051910-2 8.295710+3-5.015880-2470027506 2077 8.493701+3-5.253130-2 8.637790+3-5.161120-2 8.826201+3-4.931410-2470027506 2078 9.059231+3-6.140200-2 9.211231+3-7.365380-2 9.398621+3-9.583680-2470027506 2079 9.472871+3-1.035660-1 9.691081+3-1.197320-1 1.000000+4-1.416940-1470027506 2080 1.020100+4-1.578720-1 1.034760+4-1.747040-1 1.047240+4-1.964760-1470027506 2081 1.075580+4-2.339070-1 1.128540+4-3.092310-1 1.145790+4-3.391340-1470027506 2082 1.165920+4-3.752010-1 1.258980+4-5.182990-1 1.287460+4-5.690130-1470027506 2083 1.391330+4-7.309500-1 1.528530+4-9.660070-1 1.678090+4-1.226490+0470027506 2084 1.825990+4-1.514210+0 1.892300+4-1.651570+0 2.022500+4-1.955200+0470027506 2085 2.120450+4-2.231960+0 2.205260+4-2.534170+0 2.324510+4-3.121450+0470027506 2086 2.388810+4-3.611670+0 2.452470+4-4.368780+0 2.476750+4-4.843120+0470027506 2087 2.490990+4-5.239380+0 2.497840+4-5.483730+0 2.504590+4-5.767880+0470027506 2088 2.509250+4-5.990760+0 2.513970+4-6.238040+0 2.517150+4-6.411330+0470027506 2089 2.520060+4-6.575290+0 2.523550+4-6.771380+0 2.528130+4-7.016240+0470027506 2090 2.532910+4-7.246600+0 2.538410+4-7.452810+0 2.549220+4-7.585840+0470027506 2091 2.560020+4-7.352700+0 2.570030+4-6.861410+0 2.579630+4-6.283420+0470027506 2092 2.591770+4-5.600920+0 2.603340+4-5.049330+0 2.626870+4-4.292740+0470027506 2093 2.668810+4-3.464570+0 2.698910+4-3.037220+0 2.746790+4-2.517760+0470027506 2094 2.791540+4-2.152070+0 2.852030+4-1.758940+0 2.942760+4-1.279630+0470027506 2095 2.988130+4-1.087760+0 3.127690+4-6.648330-1 3.174780+4-5.438390-1470027506 2096 3.346100+4-2.145240-1 3.408210+4-1.098840-1 3.465240+4-4.239510-2470027506 2097 3.512470+4 1.417350-2 3.649620+4 1.796570-1 3.739270+4 2.728580-1470027506 2098 3.784090+4 3.104310-1 3.817710+4 3.307040-1 3.849030+4 3.388870-1470027506 2099 4.070340+4 4.700000-1 4.142770+4 4.965890-1 4.159830+4 4.961060-1470027506 2100 4.410110+4 5.708400-1 4.484220+4 5.747420-1 4.731160+4 6.220070-1470027506 2101 5.121040+4 6.548550-1 6.142640+4 6.514020-1 9.297290+4 4.601860-1470027506 2102 1.103740+5 3.776000-1 1.263260+5 3.148250-1 1.462870+5 2.556790-1470027506 2103 1.557640+5 2.331740-1 1.826110+5 1.824630-1 2.069860+5 1.482680-1470027506 2104 2.211170+5 1.323700-1 2.408790+5 1.146330-1 2.631750+5 9.831460-2470027506 2105 2.809850+5 8.709240-2 3.024100+5 7.581970-2 3.435550+5 5.859390-2470027506 2106 3.764490+5 4.845240-2 4.068870+5 4.103660-2 4.410200+5 3.430520-2470027506 2107 4.657060+5 3.011080-2 5.101890+5 2.400580-2 5.507460+5 1.953420-2470027506 2108 5.923540+5 1.585780-2 6.407770+5 1.238580-2 6.900470+5 9.476110-3470027506 2109 7.507910+5 6.660260-3 8.137740+5 4.384720-3 8.820400+5 2.458390-3470027506 2110 9.806770+5 3.465290-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0470027506 2111 470027 0 2112 4700 0 0 2113 0 0 0 2114 4.800000+4 1.114350+2 -1 0 0 14800 1451 1 0.000000+0 0.000000+0 0 0 0 64800 1451 2 0.000000+0 0.000000+0 0 0 3 64800 1451 3 0.000000+0 0.000000+0 0 0 126 274800 1451 4 48-CD- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4800 1451 6 ----ENDF/B-VI MATERIAL 4800 4800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4800 1451 8 ------ENDF-6 FORMAT 4800 1451 9 =================================================================4800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4800 1451 11 ENDF/B-VI FORMAT 4800 1451 12 =================================================================4800 1451 13 CONTENTS 4800 1451 14 =================================================================4800 1451 15 MF/MT DESCRIPTION 4800 1451 16 =================================================================4800 1451 17 23/501 TOTAL CROSS SECTION 4800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4800 1451 39 =================================================================4800 1451 40 27/502 COHERENT SCATTERING FORM FACTORS 4800 1451 41 27/504 INCOHERENT SCATTERING FUNCTIONS 4800 1451 42 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4800 1451 43 27/506 COHERENT REAL SCATTERING FACTOR 4800 1451 44 =================================================================4800 1451 45 WARNING 4800 1451 46 =================================================================4800 1451 47 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4800 1451 48 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4800 1451 49 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4800 1451 50 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4800 1451 51 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4800 1451 52 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4800 1451 53 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4800 1451 54 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4800 1451 55 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4800 1451 56 =================================================================4800 1451 57 DEFINITION OF NEW TYPES OF DATA 4800 1451 58 =================================================================4800 1451 59 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4800 1451 60 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4800 1451 61 4800 1451 62 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4800 1451 63 C2 FIELDS ARE, 4800 1451 64 4800 1451 65 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4800 1451 66 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4800 1451 67 4800 1451 68 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4800 1451 69 4800 1451 70 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4800 1451 71 4800 1451 72 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4800 1451 73 T = THE THOMSON CROSS SECTION 4800 1451 74 MU = THE COSINE OF THE SCATTERING ANGLE 4800 1451 75 FF(M) = THE ATOMIC FORM FACTOR 4800 1451 76 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4800 1451 77 F1(E) = THE REAL SCATTERING FACTOR 4800 1451 78 F2(E) = THE IMAGINARY SCATTERING FACTOR 4800 1451 79 4800 1451 80 F1(E) AND F2(E) ARE ISOTROPIC. 4800 1451 81 4800 1451 82 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4800 1451 83 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4800 1451 84 =================================================================4800 1451 85 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4800 1451 86 =================================================================4800 1451 87 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4800 1451 88 HERE - 10 EV TO 100 MEV 4800 1451 89 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4800 1451 90 - FLUORESCENCE AND ELECTRON SPECTRA 4800 1451 91 HERE - PHOTON INTERACTION 4800 1451 92 - AVERAGE FLUORESCENCE YIELD 4800 1451 93 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4800 1451 94 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4800 1451 95 HERE - NO SECONDARY ENERGY DATA 4800 1451 96 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4800 1451 97 INTERPOLABLE - SUMMATION CROSS SECTIONS 4800 1451 98 (E.G., TOTAL) ARE NOT INCLUDED 4800 1451 99 - FORM FACTORS ARE LOG X VS. LOG Y 4800 1451 100 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4800 1451 101 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4800 1451 102 ORDER TO ALLOW CROSS SECTIONS DEFINED 4800 1451 103 BY SUMMATION (E.G., TOTAL) TO BE 4800 1451 104 CONSISTENTLY DEFINED AT ALL ENERGIES. 4800 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 4800 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4800 1451 107 =================================================================4800 1451 108 REFERENCES 4800 1451 109 =================================================================4800 1451 110 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4800 1451 111 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4800 1451 112 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4800 1451 113 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4800 1451 114 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4800 1451 115 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4800 1451 116 4800 1451 117 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4800 1451 118 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4800 1451 119 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4800 1451 120 OF THE DATA, ETC. 4800 1451 121 =================================================================4800 1451 122 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4800 1451 123 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4800 1451 124 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4800 1451 125 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4800 1451 126 *RECONSTRUCTED MT NUMBERS 4800 1451 127 516 =+(515,515)+(517,517) 4800 1451 128 522 =+(534,572) 4800 1451 129 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4800 1451 130 1 451 157 14800 1451 131 23 501 422 14800 1451 132 23 502 83 14800 1451 133 23 504 24 14800 1451 134 23 515 17 14800 1451 135 23 516 37 14800 1451 136 23 517 24 14800 1451 137 23 522 307 14800 1451 138 23 534 31 14800 1451 139 23 535 37 14800 1451 140 23 536 42 14800 1451 141 23 537 43 14800 1451 142 23 538 41 14800 1451 143 23 539 47 14800 1451 144 23 540 47 14800 1451 145 23 541 62 14800 1451 146 23 542 63 14800 1451 147 23 543 45 14800 1451 148 23 544 52 14800 1451 149 23 545 52 14800 1451 150 23 546 71 14800 1451 151 23 547 72 14800 1451 152 23 550 58 14800 1451 153 27 502 51 14800 1451 154 27 504 44 14800 1451 155 27 505 71 14800 1451 156 27 506 110 14800 1451 157 4800 1 0 158 4800 0 0 159 4.800000+4 1.114350+2 0 0 0 0480023501 160 0.000000+0 0.000000+0 0 0 1 1256480023501 161 1256 2 0 0 0 0480023501 162 1.000000+1 1.163040+6 1.025940+1 9.953660+5 1.035460+1 9.338280+5480023501 163 1.060360+1 8.051100+5 1.062880+1 7.920830+5 1.094690+1 6.623290+5480023501 164 1.105370+1 6.187650+5 1.117770+1 5.807730+5 1.143000+1 5.034710+5480023501 165 1.149560+1 4.833720+5 1.175670+1 4.137510+5 1.177200+1 4.096720+5480023501 166 1.207830+1 3.450920+5 1.219900+1 3.196440+5 1.227230+1 3.080110+5480023501 167 1.229830+1 3.038850+5 1.245750+1 2.786190+5 1.264160+1 2.494010+5480023501 168 1.268350+1 2.437780+5 1.279800+1 2.284110+5 1.306240+1 1.929250+5480023501 169 1.343420+1 1.548140+5 1.384420+1 1.204140+5 1.396150+1 1.124140+5480023501 170 1.418130+1 9.742400+4 1.419960+1 9.645629+4 1.441980+1 8.481210+4480023501 171 1.462310+1 7.406160+4 1.464350+1 7.298290+4 1.485050+1 6.424410+4480023501 172 1.500000+1 5.793270+4 1.503020+1 5.689300+4 1.528850+1 4.800060+4480023501 173 1.534430+1 4.607960+4 1.560770+1 3.881030+4 1.563470+1 3.822080+4480023501 174 1.601130+1 2.999920+4 1.608380+1 2.880680+4 1.635800+1 2.429730+4480023501 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2.582970+1 1.362030+7480023501 188 2.625180+1 1.420410+7 2.710810+1 1.538850+7 2.756000+1 1.601340+7480023501 189 2.915230+1 1.848800+7 2.936890+1 1.882460+7 3.000000+1 1.988380+7480023501 190 3.103050+1 2.161220+7 3.116030+1 2.182990+7 3.223710+1 2.375010+7480023501 191 3.278610+1 2.472840+7 3.398210+1 2.697970+7 3.399570+1 2.700530+7480023501 192 3.464100+1 2.822000+7 3.579800+1 3.021230+7 3.590940+1 3.037470+7480023501 193 3.655050+1 3.130840+7 3.928720+1 3.529440+7 4.000000+1 3.612900+7480023501 194 4.141790+1 3.697320+7 4.318900+1 3.802780+7 4.470630+1 3.839800+7480023501 195 4.624230+1 3.774560+7 4.695850+1 3.744130+7 4.902330+1 3.597660+7480023501 196 5.000000+1 3.504100+7 5.005700+1 3.497350+7 5.233180+1 3.228040+7480023501 197 5.348760+1 3.069490+7 5.415170+1 2.978390+7 5.607630+1 2.707460+7480023501 198 5.860990+1 2.350810+7 6.000000+1 2.155120+7 6.235740+1 1.847180+7480023501 199 6.357060+1 1.701440+7 6.735370+1 1.298710+7 6.757100+1 1.280900+7480023501 200 6.841270+1 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4.173740+5 4.168050-2 4.472140+5 3.542070-2 4.895540+5 2.842340-2480027506 2135 5.524000+5 2.075260-2 6.057430+5 1.587300-2 6.623670+5 1.182390-2480027506 2136 7.085680+5 9.159340-3 7.682820+5 6.421720-3 8.238340+5 4.378820-3480027506 2137 9.197270+5 1.685810-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0480027506 2138 480027 0 2139 4800 0 0 2140 0 0 0 2141 4.900000+4 1.138340+2 -1 0 0 14900 1451 1 0.000000+0 0.000000+0 0 0 0 64900 1451 2 0.000000+0 0.000000+0 0 0 3 64900 1451 3 0.000000+0 0.000000+0 0 0 128 294900 1451 4 49-IN- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 4900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 4900 1451 6 ----ENDF/B-VI MATERIAL 4900 4900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4900 1451 8 ------ENDF-6 FORMAT 4900 1451 9 =================================================================4900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 4900 1451 11 ENDF/B-VI FORMAT 4900 1451 12 =================================================================4900 1451 13 CONTENTS 4900 1451 14 =================================================================4900 1451 15 MF/MT DESCRIPTION 4900 1451 16 =================================================================4900 1451 17 23/501 TOTAL CROSS SECTION 4900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 4900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 4900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 4900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 4900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 4900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 4900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 4900 1451 41 =================================================================4900 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 4900 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 4900 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 4900 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 4900 1451 46 =================================================================4900 1451 47 WARNING 4900 1451 48 =================================================================4900 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 4900 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 4900 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 4900 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 4900 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 4900 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 4900 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 4900 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 4900 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 4900 1451 58 =================================================================4900 1451 59 DEFINITION OF NEW TYPES OF DATA 4900 1451 60 =================================================================4900 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 4900 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 4900 1451 63 4900 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 4900 1451 65 C2 FIELDS ARE, 4900 1451 66 4900 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 4900 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 4900 1451 69 4900 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 4900 1451 71 4900 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4900 1451 73 4900 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 4900 1451 75 T = THE THOMSON CROSS SECTION 4900 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 4900 1451 77 FF(M) = THE ATOMIC FORM FACTOR 4900 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 4900 1451 79 F1(E) = THE REAL SCATTERING FACTOR 4900 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 4900 1451 81 4900 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 4900 1451 83 4900 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 4900 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 4900 1451 86 =================================================================4900 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 4900 1451 88 =================================================================4900 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 4900 1451 90 HERE - 10 EV TO 100 MEV 4900 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION4900 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 4900 1451 93 HERE - PHOTON INTERACTION 4900 1451 94 - AVERAGE FLUORESCENCE YIELD 4900 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 4900 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)4900 1451 97 HERE - NO SECONDARY ENERGY DATA 4900 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 4900 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 4900 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 4900 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 4900 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4900 1451 103 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 4900 1451 104 ORDER TO ALLOW CROSS SECTIONS DEFINED 4900 1451 105 BY SUMMATION (E.G., TOTAL) TO BE 4900 1451 106 CONSISTENTLY DEFINED AT ALL ENERGIES. 4900 1451 107 - FORM FACTORS ARE LOG X VS. LOG Y 4900 1451 108 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 4900 1451 109 =================================================================4900 1451 110 REFERENCES 4900 1451 111 =================================================================4900 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 4900 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 4900 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 4900 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),4900 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 4900 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 4900 1451 118 4900 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 4900 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 4900 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 4900 1451 122 OF THE DATA, ETC. 4900 1451 123 =================================================================4900 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) *****************4900 1451 125 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 4900 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 4900 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ******************4900 1451 128 *RECONSTRUCTED MT NUMBERS 4900 1451 129 516 =+(515,515)+(517,517) 4900 1451 130 522 =+(534,572) 4900 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 4900 1451 132 1 451 161 14900 1451 133 23 501 452 14900 1451 134 23 502 89 14900 1451 135 23 504 25 14900 1451 136 23 515 17 14900 1451 137 23 516 37 14900 1451 138 23 517 24 14900 1451 139 23 522 333 14900 1451 140 23 534 30 14900 1451 141 23 535 36 14900 1451 142 23 536 42 14900 1451 143 23 537 43 14900 1451 144 23 538 40 14900 1451 145 23 539 47 14900 1451 146 23 540 46 14900 1451 147 23 541 63 14900 1451 148 23 542 63 14900 1451 149 23 543 45 14900 1451 150 23 544 50 14900 1451 151 23 545 51 14900 1451 152 23 546 71 14900 1451 153 23 547 72 14900 1451 154 23 550 59 14900 1451 155 23 551 61 14900 1451 156 23 552 61 14900 1451 157 27 502 51 14900 1451 158 27 504 44 14900 1451 159 27 505 74 14900 1451 160 27 506 112 14900 1451 161 4900 1 0 162 4900 0 0 163 4.900000+4 1.138340+2 0 0 0 0490023501 164 0.000000+0 0.000000+0 0 0 1 1347490023501 165 1347 2 0 0 0 0490023501 166 1.000000+1 3.541050+6 1.042980+1 3.190250+6 1.057710+1 3.070020+6490023501 167 1.062390+1 3.031820+6 1.066220+1 3.000560+6 1.069510+1 2.973710+6490023501 168 1.073210+1 2.943510+6 1.077760+1 2.906370+6 1.078560+1 2.900640+6490023501 169 1.083000+1 2.868790+6 1.083000+1 4.614030+6 1.084650+1 4.588050+6490023501 170 1.085740+1 4.570890+6 1.086690+1 4.556720+6 1.091450+1 4.485720+6490023501 171 1.094150+1 4.445460+6 1.100610+1 4.349110+6 1.113740+1 4.153280+6490023501 172 1.148030+1 3.704230+6 1.156650+1 3.598260+6 1.161500+1 3.538630+6490023501 173 1.171320+1 3.434490+6 1.181870+1 3.322610+6 1.211310+1 3.029420+6490023501 174 1.218350+1 2.964600+6 1.218810+1 2.960360+6 1.227400+1 2.881270+6490023501 175 1.258440+1 2.618470+6 1.266050+1 2.562370+6 1.296470+1 2.338110+6490023501 176 1.307410+1 2.262470+6 1.313100+1 2.225350+6 1.318550+1 2.189800+6490023501 177 1.347310+1 2.020450+6 1.377890+1 1.861440+6 1.394860+1 1.773210+6490023501 178 1.406420+1 1.713100+6 1.421640+1 1.640630+6 1.436900+1 1.571760+6490023501 179 1.443130+1 1.546500+6 1.480800+1 1.405810+6 1.506570+1 1.316210+6490023501 180 1.513450+1 1.292280+6 1.527210+1 1.247530+6 1.554920+1 1.164920+6490023501 181 1.562150+1 1.145520+6 1.592000+1 1.070980+6 1.611130+1 1.025890+6490023501 182 1.622680+1 9.986630+5 1.625910+1 9.916550+5 1.640000+1 9.627750+5490023501 183 1.654980+1 9.320700+5 1.655920+1 9.301430+5 1.663050+1 9.172630+5490023501 184 1.697200+1 8.587000+5 1.718850+1 8.230390+5 1.732050+1 8.012970+5490023501 185 1.747690+1 7.768730+5 1.748480+1 7.756390+5 1.771420+1 7.430160+5490023501 186 1.779400+1 7.333400+5 1.795470+1 7.143030+5 1.846110+1 6.564910+5490023501 187 1.863300+1 6.371010+5 1.865860+1 6.342850+5 1.870020+1 6.297090+5490023501 188 1.876880+1 6.229150+5 1.889930+1 6.099910+5 1.911020+1 5.891040+5490023501 189 1.920700+1 5.797560+5 1.953780+1 5.527640+5 1.969890+1 5.396180+5490023501 190 1.975540+1 5.351050+5 2.000000+1 5.155660+5 2.015930+1 5.030620+5490023501 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1.687340-6 4.229490+7 1.367520-6490023550 1917 5.000000+7 1.148370-6 6.000000+7 9.506810-7 6.928200+7 8.198930-7490023550 1918 8.458970+7 6.679590-7 1.000000+8 5.630660-7 0.000000+0 0.000000+0490023550 1919 490023 0 1920 4.900000+4 1.138340+2 0 0 0 0490023551 1921 4.910000+0 0.000000+0 0 0 1 172490023551 1922 172 2 0 0 0 0490023551 1923 1.000000+1 1.393840+6 1.085740+1 1.121620+6 1.181870+1 8.964560+5490023551 1924 1.296470+1 7.020460+5 1.421640+1 5.471400+5 1.513450+1 4.563790+5490023551 1925 1.622680+1 3.729070+5 1.748480+1 3.003380+5 1.870020+1 2.471830+5490023551 1926 2.043790+1 1.902310+5 2.175120+1 1.568500+5 2.347230+1 1.238840+5490023551 1927 2.508960+1 1.007760+5 2.728300+1 7.772850+4 2.926550+1 6.254490+4490023551 1928 3.164330+1 4.909960+4 3.429800+1 3.825410+4 3.623450+1 3.226790+4490023551 1929 3.870330+1 2.630750+4 4.113140+1 2.182000+4 4.410200+1 1.764640+4490023551 1930 4.695850+1 1.457730+4 5.000000+1 1.204200+4 5.415170+1 9.617340+3490023551 1931 5.798350+1 7.931590+3 6.000000+1 7.202991+3 6.480740+1 5.957480+3490023551 1932 7.000000+1 4.927330+3 7.654870+1 4.122700+3 8.371000+1 3.449460+3490023551 1933 9.565210+1 2.815120+3 1.000000+2 2.630740+3 1.200850+2 2.132960+3490023551 1934 1.276400+2 1.988920+3 1.500000+2 1.714270+3 1.739170+2 1.518840+3490023551 1935 2.171310+2 1.266660+3 2.710810+2 1.056350+3 3.338560+2 8.473140+2490023551 1936 3.919360+2 7.047930+2 4.812840+2 5.519500+2 5.385530+2 4.747360+2490023551 1937 6.163400+2 3.962000+2 7.317070+2 3.077010+2 8.388600+2 2.486420+2490023551 1938 9.431120+2 2.071300+2 1.106680+3 1.578190+2 1.194100+3 1.378310+2490023551 1939 1.338340+3 1.124940+2 1.500000+3 9.181400+1 1.611850+3 7.986910+1490023551 1940 1.795470+3 6.480120+1 2.000000+3 5.257600+1 2.213360+3 4.291610+1490023551 1941 2.388200+3 3.685490+1 2.676670+3 2.932970+1 3.000000+3 2.334100+1490023551 1942 3.271790+3 1.917630+1 3.491660+3 1.654810+1 3.849500+3 1.326540+1490023551 1943 4.244000+3 1.063400+1 4.627740+3 8.609590+0 4.938160+3 7.348470+0490023551 1944 5.443250+3 5.794530+0 6.000000+3 4.569200+0 6.447420+3 3.793500+0490023551 1945 6.804750+3 3.299440+0 7.378210+3 2.676330+0 8.000000+3 2.170900+0490023551 1946 8.458970+3 1.867290+0 9.197270+3 1.489600+0 1.000000+4 1.188300+0490023551 1947 1.075580+4 9.664820-1 1.143200+4 8.130020-1 1.223530+4 6.705870-1490023551 1948 1.315870+4 5.455630-1 1.404920+4 4.531010-1 1.500000+4 3.763100-1490023551 1949 1.611850+4 3.038710-1 1.701190+4 2.588490-1 1.844550+4 2.035090-1490023551 1950 2.000000+4 1.600000-1 2.151150+4 1.277340-1 2.286410+4 1.057900-1490023551 1951 2.447070+4 8.575820-2 2.631750+4 6.848520-2 2.809850+4 5.593520-2490023551 1952 3.000000+4 4.568500-2 3.197810+4 3.720460-2 3.465240+4 2.873620-2490023551 1953 3.706180+4 2.314990-2 3.994270+4 1.819710-2 4.314830+4 1.419670-2490023551 1954 4.548030+4 1.198610-2 4.844560+4 9.782840-3 5.221370+4 7.659050-3490023551 1955 5.542310+4 6.288550-3 5.854120+4 5.247900-3 6.259340+4 4.206440-3490023551 1956 6.636860+4 3.466190-3 7.154890+4 2.703780-3 7.460660+4 2.354520-3490023551 1957 8.027550+4 1.848330-3 8.657300+4 1.440040-3 9.114779+4 1.214670-3490023551 1958 9.695760+4 9.902921-4 1.044270+5 7.757790-4 1.108460+5 6.379860-4490023551 1959 1.170820+5 5.331960-4 1.251870+5 4.281520-4 1.327370+5 3.533630-4490023551 1960 1.430980+5 2.761980-4 1.492130+5 2.407910-4 1.605510+5 1.893980-4490023551 1961 1.731460+5 1.478600-4 1.822960+5 1.248940-4 1.939150+5 1.019920-4490023551 1962 2.051330+5 8.512850-5 2.199390+5 6.842030-5 2.376880+5 5.364290-5490023551 1963 2.574930+5 4.173850-5 2.719340+5 3.517520-5 2.903370+5 2.864670-5490023551 1964 3.109840+5 2.322750-5 3.311840+5 1.925940-5 3.542840+5 1.575690-5490023551 1965 3.841410+5 1.238410-5 4.113140+5 1.014670-5 4.410200+5 8.331500-6490023551 1966 4.795120+5 6.576630-6 5.115260+5 5.495540-6 5.603490+5 4.300100-6490023551 1967 6.000000+5 3.577500-6 6.623670+5 2.789180-6 7.085680+5 2.353810-6490023551 1968 7.682820+5 1.920100-6 8.226280+5 1.625850-6 8.820400+5 1.383660-6490023551 1969 9.590240+5 1.140170-6 1.022000+6 9.849010-7 1.144580+6 7.854330-7490023551 1970 1.250000+6 6.643180-7 1.369310+6 5.623430-7 1.500000+6 4.760210-7490023551 1971 1.701190+6 3.832960-7 1.894980+6 3.183340-7 2.044000+6 2.798920-7490023551 1972 2.332190+6 2.280450-7 2.693110+6 1.823740-7 3.000000+6 1.542300-7490023551 1973 3.464100+6 1.256430-7 4.000000+6 1.023550-7 4.472140+6 8.807980-8490023551 1974 5.233180+6 7.145760-8 6.000000+6 5.987720-8 7.000000+6 4.935570-8490023551 1975 8.000000+6 4.189870-8 9.486830+6 3.417120-8 1.100000+7 2.872130-8490023551 1976 1.300000+7 2.369890-8 1.549190+7 1.944710-8 1.800000+7 1.646320-8490023551 1977 2.097620+7 1.392310-8 2.498000+7 1.152300-8 3.000000+7 9.472750-9490023551 1978 3.464100+7 8.137520-9 4.229490+7 6.595150-9 5.000000+7 5.538260-9490023551 1979 6.000000+7 4.584850-9 6.928200+7 3.954100-9 8.458970+7 3.221360-9490023551 1980 1.000000+8 2.715500-9 0.000000+0 0.000000+0 0.000000+0 0.000000+0490023551 1981 490023 0 1982 4.900000+4 1.138340+2 0 0 0 0490023552 1983 4.580000+0 0.000000+0 0 0 1 172490023552 1984 172 2 0 0 0 0490023552 1985 1.000000+1 2.147210+6 1.077760+1 1.759410+6 1.148030+1 1.478530+6490023552 1986 1.227400+1 1.224910+6 1.318550+1 1.001240+6 1.436900+1 7.860670+5490023552 1987 1.554920+1 6.254530+5 1.655920+1 5.181130+5 1.771420+1 4.234620+5490023552 1988 1.920700+1 3.324150+5 2.051330+1 2.722910+5 2.199390+1 2.194380+5490023552 1989 2.376880+1 1.725600+5 2.574930+1 1.346810+5 2.719340+1 1.137410+5490023552 1990 2.903370+1 9.286540+4 3.109840+1 7.527779+4 3.311840+1 6.225090+4490023552 1991 3.542840+1 5.078430+4 3.841410+1 3.977690+4 4.000000+1 3.520310+4490023552 1992 4.229490+1 3.017780+4 4.598630+1 2.395230+4 5.000000+1 1.901110+4490023552 1993 5.477230+1 1.533590+4 6.000000+1 1.237120+4 6.735370+1 9.923451+3490023552 1994 7.000000+1 9.220331+3 8.136540+1 7.396140+3 8.555000+1 6.872130+3490023552 1995 1.000000+2 5.731190+3 1.224740+2 4.713090+3 1.500000+2 3.875850+3490023552 1996 1.861210+2 3.208680+3 2.213360+2 2.727360+3 2.576840+2 2.349020+3490023552 1997 3.342070+2 1.766330+3 3.929680+2 1.440900+3 4.620600+2 1.175430+3490023552 1998 5.050130+2 1.034460+3 5.770450+2 8.540620+2 6.593500+2 7.051230+2490023552 1999 7.317070+2 5.941590+2 7.911390+2 5.225530+2 8.894600+2 4.309960+2490023552 2000 1.000000+3 3.554800+2 1.106680+3 2.949460+2 1.194100+3 2.564110+2490023552 2001 1.338340+3 2.078400+2 1.500000+3 1.684700+2 1.611850+3 1.460550+2490023552 2002 1.795470+3 1.178990+2 2.000000+3 9.517000+1 2.213360+3 7.652290+1490023552 2003 2.457260+3 6.111150+1 2.638790+3 5.242410+1 2.874410+3 4.361340+1490023552 2004 3.132950+3 3.594730+1 3.379940+3 3.010710+1 3.666220+3 2.489850+1490023552 2005 4.041940+3 1.982330+1 4.431720+3 1.586650+1 4.780430+3 1.311840+1490023552 2006 5.184550+3 1.070000+1 5.577390+3 8.907090+0 6.219690+3 6.738160+0490023552 2007 6.804750+3 5.304890+0 7.378210+3 4.277570+0 8.000000+3 3.449200+0490023552 2008 8.458970+3 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0.000000+0 1.000000+8 0.000000+0490027506 2329 490027 0 2330 4900 0 0 2331 0 0 0 2332 5.000000+4 1.176700+2 -1 0 0 15000 1451 1 0.000000+0 0.000000+0 0 0 0 65000 1451 2 0.000000+0 0.000000+0 0 0 3 65000 1451 3 0.000000+0 0.000000+0 0 0 128 295000 1451 4 50-SN- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5000 1451 6 ----ENDF/B-VI MATERIAL 5000 5000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5000 1451 8 ------ENDF-6 FORMAT 5000 1451 9 =================================================================5000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5000 1451 11 ENDF/B-VI FORMAT 5000 1451 12 =================================================================5000 1451 13 CONTENTS 5000 1451 14 =================================================================5000 1451 15 MF/MT DESCRIPTION 5000 1451 16 =================================================================5000 1451 17 23/501 TOTAL CROSS SECTION 5000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5000 1451 41 =================================================================5000 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 5000 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 5000 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5000 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 5000 1451 46 =================================================================5000 1451 47 WARNING 5000 1451 48 =================================================================5000 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5000 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5000 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5000 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5000 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5000 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5000 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5000 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5000 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5000 1451 58 =================================================================5000 1451 59 DEFINITION OF NEW TYPES OF DATA 5000 1451 60 =================================================================5000 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5000 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5000 1451 63 5000 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5000 1451 65 C2 FIELDS ARE, 5000 1451 66 5000 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5000 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5000 1451 69 5000 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5000 1451 71 5000 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5000 1451 73 5000 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5000 1451 75 T = THE THOMSON CROSS SECTION 5000 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 5000 1451 77 FF(M) = THE ATOMIC FORM FACTOR 5000 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5000 1451 79 F1(E) = THE REAL SCATTERING FACTOR 5000 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 5000 1451 81 5000 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 5000 1451 83 5000 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5000 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5000 1451 86 =================================================================5000 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5000 1451 88 =================================================================5000 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5000 1451 90 HERE - 10 EV TO 100 MEV 5000 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5000 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 5000 1451 93 HERE - PHOTON INTERACTION 5000 1451 94 - AVERAGE FLUORESCENCE YIELD 5000 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5000 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5000 1451 97 HERE - NO SECONDARY ENERGY DATA 5000 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5000 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 5000 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 5000 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 5000 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5000 1451 103 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5000 1451 104 ORDER TO ALLOW CROSS SECTIONS DEFINED 5000 1451 105 BY SUMMATION (E.G., TOTAL) TO BE 5000 1451 106 CONSISTENTLY DEFINED AT ALL ENERGIES. 5000 1451 107 - FORM FACTORS ARE LOG X VS. LOG Y 5000 1451 108 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5000 1451 109 =================================================================5000 1451 110 REFERENCES 5000 1451 111 =================================================================5000 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5000 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5000 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5000 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5000 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5000 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5000 1451 118 5000 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5000 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5000 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5000 1451 122 OF THE DATA, ETC. 5000 1451 123 =================================================================5000 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5000 1451 125 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5000 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5000 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5000 1451 128 *RECONSTRUCTED MT NUMBERS 5000 1451 129 516 =+(515,515)+(517,517) 5000 1451 130 522 =+(534,572) 5000 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5000 1451 132 1 451 161 15000 1451 133 23 501 458 15000 1451 134 23 502 85 15000 1451 135 23 504 25 15000 1451 136 23 515 17 15000 1451 137 23 516 37 15000 1451 138 23 517 24 15000 1451 139 23 522 340 15000 1451 140 23 534 30 15000 1451 141 23 535 36 15000 1451 142 23 536 41 15000 1451 143 23 537 42 15000 1451 144 23 538 41 15000 1451 145 23 539 46 15000 1451 146 23 540 46 15000 1451 147 23 541 61 15000 1451 148 23 542 64 15000 1451 149 23 543 44 15000 1451 150 23 544 50 15000 1451 151 23 545 51 15000 1451 152 23 546 70 15000 1451 153 23 547 72 15000 1451 154 23 550 57 15000 1451 155 23 551 61 15000 1451 156 23 552 61 15000 1451 157 27 502 49 15000 1451 158 27 504 42 15000 1451 159 27 505 70 15000 1451 160 27 506 111 15000 1451 161 5000 1 0 162 5000 0 0 163 5.000000+4 1.176700+2 0 0 0 0500023501 164 0.000000+0 0.000000+0 0 0 1 1363500023501 165 1363 2 0 0 0 0500023501 166 1.000000+1 1.365920+7 1.055960+1 1.174040+7 1.115840+1 1.015170+7500023501 167 1.145840+1 9.355770+6 1.154780+1 9.181580+6 1.157360+1 9.131310+6500023501 168 1.220820+1 7.894880+6 1.243360+1 7.455710+6 1.287750+1 6.740000+6500023501 169 1.303080+1 6.492820+6 1.313520+1 6.346910+6 1.320720+1 6.246270+6500023501 170 1.325740+1 6.176110+6 1.330630+1 6.107760+6 1.336800+1 6.021530+6500023501 171 1.339000+1 5.990780+6 1.339000+1 6.771210+6 1.348360+1 6.607840+6500023501 172 1.349740+1 6.583750+6 1.355160+1 6.497630+6 1.357240+1 6.464580+6500023501 173 1.367590+1 6.300120+6 1.387360+1 5.985970+6 1.398080+1 5.824900+6500023501 174 1.407860+1 5.697430+6 1.448140+1 5.172440+6 1.452850+1 5.115700+6500023501 175 1.453130+1 5.112470+6 1.500000+1 4.571580+6 1.541000+1 4.158890+6500023501 176 1.554920+1 4.023680+6 1.582690+1 3.774730+6 1.598550+1 3.637560+6500023501 177 1.618320+1 3.488150+6 1.648750+1 3.265560+6 1.655920+1 3.214450+6500023501 178 1.662190+1 3.173750+6 1.683320+1 3.036590+6 1.688590+1 3.003230+6500023501 179 1.694650+1 2.964870+6 1.721170+1 2.820500+6 1.734930+1 2.747300+6500023501 180 1.755950+1 2.635490+6 1.771420+1 2.554640+6 1.791440+1 2.459620+6500023501 181 1.808160+1 2.382250+6 1.820060+1 2.327180+6 1.845070+1 2.228800+6500023501 182 1.863300+1 2.157910+6 1.882240+1 2.085380+6 1.896030+1 2.038020+6500023501 183 1.913430+1 1.978270+6 1.930440+1 1.920200+6 1.937380+1 1.896820+6500023501 184 1.988080+1 1.753820+6 2.000000+1 1.720200+6 2.007520+1 1.699290+6500023501 185 2.043790+1 1.598410+6 2.068440+1 1.537050+6 2.099090+1 1.461460+6500023501 186 2.099450+1 1.460720+6 2.127530+1 1.403060+6 2.162880+1 1.331040+6500023501 187 2.175120+1 1.306100+6 2.195310+1 1.269500+6 2.238200+1 1.192350+6500023501 188 2.256020+1 1.164830+6 2.270340+1 1.142720+6 2.309400+1 1.083040+6500023501 189 2.347230+1 1.025240+6 2.359720+1 1.008310+6 2.361690+1 1.005640+6500023501 190 2.387710+1 9.753610+5 2.401780+1 9.592700+5 2.502850+1 8.436810+5500023501 191 2.507250+1 8.386490+5 2.508960+1 8.369700+5 2.527650+1 8.207560+5500023501 192 2.537470+1 8.124510+5 2.604440+1 7.558130+5 2.659590+1 7.091710+5500023501 193 2.668980+1 7.020850+5 2.673180+1 6.989880+5 2.701890+1 6.813450+5500023501 194 2.752880+1 6.500110+5 2.773720+1 6.372040+5 2.806460+1 6.170850+5500023501 195 2.818210+1 6.098650+5 2.831880+1 6.012930+5 2.843600+1 5.950050+5500023501 196 2.861960+1 5.851540+5 2.888810+1 5.726470+5 2.927060+1 5.548290+5500023501 197 2.969760+1 5.349390+5 3.000000+1 5.208530+5 3.018050+1 5.135920+5500023501 198 3.043120+1 5.035080+5 3.070670+1 4.938390+5 3.118800+1 4.769480+5500023501 199 3.167690+1 4.597900+5 3.194620+1 4.503390+5 3.223710+1 4.401310+5500023501 200 3.223790+1 4.401080+5 3.239000+1 4.357190+5 3.239000+1 2.783370+6500023501 201 3.255960+1 2.796530+6 3.256400+1 2.796870+6 3.258400+1 2.798430+6500023501 202 3.298090+1 2.830870+6 3.327190+1 2.854660+6 3.349000+1 2.872490+6500023501 203 3.349000+1 4.251690+6 3.359020+1 4.280180+6 3.371570+1 4.315630+6500023501 204 3.378800+1 4.336050+6 3.390580+1 4.375320+6 3.416000+1 4.460060+6500023501 205 3.471900+1 4.720570+6 3.496370+1 4.835590+6 3.544720+1 5.064440+6500023501 206 3.552970+1 5.120610+6 3.579680+1 5.302460+6 3.651980+1 5.817940+6500023501 207 3.660050+1 5.875700+6 3.701050+1 6.206900+6 3.746230+1 6.700730+6500023501 208 3.774410+1 7.008750+6 3.775840+1 7.024380+6 3.845250+1 7.784570+6500023501 209 3.847550+1 7.809720+6 3.847620+1 7.810550+6 3.880460+1 8.264500+6500023501 210 3.883370+1 8.304800+6 3.955840+1 9.308550+6 3.992640+1 9.869960+6500023501 211 4.000000+1 9.982250+6 4.056180+1 1.100570+7 4.113140+1 1.213220+7500023501 212 4.127940+1 1.242520+7 4.156390+1 1.298850+7 4.229490+1 1.469510+7500023501 213 4.250800+1 1.524500+7 4.318900+1 1.700230+7 4.375740+1 1.846970+7500023501 214 4.410200+1 1.946790+7 4.419160+1 1.975310+7 4.472140+1 2.143960+7500023501 215 4.485060+1 2.185070+7 4.550780+1 2.394180+7 4.597170+1 2.541830+7500023501 216 4.598630+1 2.546470+7 4.770110+1 3.109650+7 4.795120+1 3.184970+7500023501 217 4.845540+1 3.336870+7 4.941860+1 3.627100+7 5.000000+1 3.802300+7500023501 218 5.012670+1 3.827120+7 5.115260+1 4.028080+7 5.218290+1 4.229960+7500023501 219 5.233180+1 4.252600+7 5.301970+1 4.312160+7 5.403610+1 4.400170+7500023501 220 5.412340+1 4.404250+7 5.415170+1 4.405570+7 5.477230+1 4.396520+7500023501 221 5.532310+1 4.388520+7 5.609480+1 4.377310+7 5.700090+1 4.330800+7500023501 222 5.738800+1 4.288370+7 5.798350+1 4.223090+7 5.866890+1 4.147970+7500023501 223 6.000000+1 3.963820+7 6.116730+1 3.802410+7 6.210810+1 3.652340+7500023501 224 6.235740+1 3.612570+7 6.310140+1 3.483270+7 6.480740+1 3.186760+7500023501 225 6.735370+1 2.744270+7 6.899570+1 2.458950+7 6.968420+1 2.347730+7500023501 226 7.000000+1 2.296710+7 7.117820+1 2.106440+7 7.237630+1 1.927900+7500023501 227 7.437960+1 1.665560+7 7.483320+1 1.606160+7 7.609270+1 1.449700+7500023501 228 7.737350+1 1.308280+7 7.867580+1 1.179040+7 8.000000+1 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4.108200+4500023550 1879 1.732050+2 3.437530+4 2.000000+2 2.876340+4 2.213360+2 2.508270+4500023550 1880 2.576840+2 2.042550+4 3.000000+2 1.663310+4 3.431670+2 1.362150+4500023550 1881 3.941980+2 1.108570+4 4.332770+2 9.633151+3 4.853200+2 8.139050+3500023550 1882 5.509430+2 6.676670+3 6.228600+2 5.471180+3 7.068700+2 4.455530+3500023550 1883 8.114920+2 3.561320+3 9.000000+2 3.010540+3 1.022600+3 2.409890+3500023550 1884 1.166540+3 1.915710+3 1.276140+3 1.638220+3 1.421320+3 1.357770+3500023550 1885 1.635760+3 1.053670+3 1.824110+3 8.619340+2 1.998310+3 7.285620+2500023550 1886 2.211960+3 6.041750+2 2.466280+3 4.943700+2 2.720080+3 4.127170+2500023550 1887 3.097330+3 3.237870+2 3.381560+3 2.729170+2 3.728900+3 2.256140+2500023550 1888 4.140730+3 1.839910+2 4.550120+3 1.531390+2 5.149050+3 1.201080+2500023550 1889 5.582270+3 1.020030+2 6.107741+3 8.503330+1 6.725750+3 6.997160+1500023550 1890 7.335260+3 5.871120+1 8.226281+3 4.642560+1 9.197270+3 3.661890+1500023550 1891 1.000000+4 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2.447070+5 8.821200-3500023550 1904 2.631750+5 7.219350-3 2.871850+5 5.676260-3 3.109840+5 4.573830-3500023550 1905 3.402370+5 3.600540-3 3.689100+5 2.903000-3 4.000000+5 2.340600-3500023550 1906 4.229490+5 2.030440-3 4.598630+5 1.640530-3 5.000000+5 1.325500-3500023550 1907 5.477230+5 1.061790-3 6.000000+5 8.505400-4 6.623670+5 6.787490-4500023550 1908 7.085680+5 5.819700-4 7.682820+5 4.838720-4 8.226280+5 4.160380-4500023550 1909 9.197270+5 3.289150-4 1.022000+6 2.624310-4 1.144580+6 2.092650-4500023550 1910 1.250000+6 1.769820-4 1.369310+6 1.497970-4 1.500000+6 1.267880-4500023550 1911 1.701190+6 1.020590-4 1.894980+6 8.473910-5 2.044000+6 7.452510-5500023550 1912 2.332190+6 6.070720-5 2.693110+6 4.853800-5 3.000000+6 4.104050-5500023550 1913 3.464100+6 3.342320-5 4.000000+6 2.721970-5 4.472140+6 2.342070-5500023550 1914 5.233180+6 1.899710-5 6.000000+6 1.591470-5 7.000000+6 1.311330-5500023550 1915 8.000000+6 1.113120-5 9.486830+6 9.077610-6 1.100000+7 7.626310-6500023550 1916 1.300000+7 6.293880-6 1.549190+7 5.164980-6 1.800000+7 4.369710-6500023550 1917 2.097620+7 3.695200-6 2.498000+7 3.058240-6 3.000000+7 2.513410-6500023550 1918 3.464100+7 2.159290-6 4.229490+7 1.750060-6 5.000000+7 1.469400-6500023550 1919 6.000000+7 1.216570-6 6.928200+7 1.049030-6 8.458970+7 8.544050-7500023550 1920 1.000000+8 7.200090-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0500023550 1921 500023 0 1922 5.000000+4 1.176700+2 0 0 0 0500023551 1923 6.280000+0 0.000000+0 0 0 1 174500023551 1924 174 2 0 0 0 0500023551 1925 1.000000+1 5.311240+6 1.055960+1 4.586870+6 1.145840+1 3.681260+6500023551 1926 1.243360+1 2.954450+6 1.349740+1 2.316990+6 1.448140+1 1.881270+6500023551 1927 1.554920+1 1.513840+6 1.655920+1 1.241920+6 1.771420+1 1.004540+6500023551 1928 1.882240+1 8.299480+5 2.043790+1 6.393400+5 2.175120+1 5.227810+5500023551 1929 2.347230+1 4.087240+5 2.508960+1 3.295350+5 2.659590+1 2.729380+5500023551 1930 2.861960+1 2.153410+5 3.043120+1 1.765930+5 3.258400+1 1.415890+5500023551 1931 3.496370+1 1.127430+5 3.775840+1 8.793310+4 4.000000+1 7.297940+4500023551 1932 4.318900+1 5.745000+4 4.550780+1 4.880250+4 4.845540+1 4.012580+4500023551 1933 5.115260+1 3.408540+4 5.415170+1 2.895360+4 5.798350+1 2.380470+4500023551 1934 6.000000+1 2.158450+4 6.480740+1 1.782540+4 7.000000+1 1.472090+4500023551 1935 7.737350+1 1.195000+4 8.000000+1 1.114760+4 9.144290+1 8.907151+3500023551 1936 9.561000+1 8.265290+3 1.057100+2 7.199230+3 1.250610+2 5.971590+3500023551 1937 1.322690+2 5.610800+3 1.582590+2 4.819280+3 1.810510+2 4.299820+3500023551 1938 2.215390+2 3.623690+3 2.987720+2 2.751260+3 3.457000+2 2.352590+3500023551 1939 4.258040+2 1.864350+3 4.825130+2 1.601230+3 5.649720+2 1.297010+3500023551 1940 6.517470+2 1.059820+3 7.518500+2 8.660130+2 8.517730+2 7.116140+2500023551 1941 9.479260+2 6.013780+2 1.106680+3 4.623250+2 1.194100+3 4.043040+2500023551 1942 1.338340+3 3.306350+2 1.500000+3 2.703900+2 1.611850+3 2.355100+2500023551 1943 1.795470+3 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4.113140+5 3.279880-5 4.410200+5 2.693970-5 4.795120+5 2.127320-5500023551 1969 5.115260+5 1.778300-5 5.603490+5 1.392540-5 6.000000+5 1.159200-5500023551 1970 6.623670+5 9.038790-6 7.085680+5 7.628540-6 7.682820+5 6.223550-6500023551 1971 8.226280+5 5.269670-6 8.820400+5 4.483830-6 9.590240+5 3.693930-6500023551 1972 1.022000+6 3.190630-6 1.144580+6 2.544230-6 1.250000+6 2.151740-6500023551 1973 1.369310+6 1.821230-6 1.500000+6 1.541480-6 1.701190+6 1.240820-6500023551 1974 1.894980+6 1.030250-6 2.044000+6 9.060730-7 2.332190+6 7.380760-7500023551 1975 2.693110+6 5.901230-7 3.000000+6 4.989690-7 3.464100+6 4.063580-7500023551 1976 4.000000+6 3.309360-7 4.472140+6 2.847480-7 5.233180+6 2.309660-7500023551 1977 6.000000+6 1.934900-7 7.000000+6 1.594310-7 8.000000+6 1.353320-7500023551 1978 9.486830+6 1.103650-7 1.100000+7 9.272030-8 1.300000+7 7.652070-8500023551 1979 1.549190+7 6.279570-8 1.800000+7 5.312680-8 2.097620+7 4.492610-8500023551 1980 2.498000+7 3.718190-8 3.000000+7 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8.103420-2 3.435560+5 7.167750-2500027506 2316 3.764490+5 5.934920-2 4.068870+5 5.031630-2 4.410200+5 4.210560-2500027506 2317 4.657060+5 3.698200-2 5.101890+5 2.950320-2 5.507460+5 2.402360-2500027506 2318 5.882690+5 1.987920-2 6.366850+5 1.555490-2 6.865110+5 1.186880-2500027506 2319 7.507910+5 8.200190-3 8.137740+5 5.394540-3 8.820400+5 3.026730-3500027506 2320 9.101570+5 2.263340-3 9.806770+5 4.281510-4 1.000000+6 0.000000+0500027506 2321 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0500027506 2322 500027 0 2323 5000 0 0 2324 0 0 0 2325 5.100000+4 1.207040+2 -1 0 0 15100 1451 1 0.000000+0 0.000000+0 0 0 0 65100 1451 2 0.000000+0 0.000000+0 0 0 3 65100 1451 3 0.000000+0 0.000000+0 0 0 128 295100 1451 4 51-SB- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5100 1451 6 ----ENDF/B-VI MATERIAL 5100 5100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5100 1451 8 ------ENDF-6 FORMAT 5100 1451 9 =================================================================5100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5100 1451 11 ENDF/B-VI FORMAT 5100 1451 12 =================================================================5100 1451 13 CONTENTS 5100 1451 14 =================================================================5100 1451 15 MF/MT DESCRIPTION 5100 1451 16 =================================================================5100 1451 17 23/501 TOTAL CROSS SECTION 5100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5100 1451 41 =================================================================5100 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 5100 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 5100 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5100 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 5100 1451 46 =================================================================5100 1451 47 WARNING 5100 1451 48 =================================================================5100 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5100 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5100 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5100 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5100 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5100 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5100 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5100 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5100 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5100 1451 58 =================================================================5100 1451 59 DEFINITION OF NEW TYPES OF DATA 5100 1451 60 =================================================================5100 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5100 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5100 1451 63 5100 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5100 1451 65 C2 FIELDS ARE, 5100 1451 66 5100 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5100 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5100 1451 69 5100 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5100 1451 71 5100 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5100 1451 73 5100 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5100 1451 75 T = THE THOMSON CROSS SECTION 5100 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 5100 1451 77 FF(M) = THE ATOMIC FORM FACTOR 5100 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5100 1451 79 F1(E) = THE REAL SCATTERING FACTOR 5100 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 5100 1451 81 5100 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 5100 1451 83 5100 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5100 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5100 1451 86 =================================================================5100 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5100 1451 88 =================================================================5100 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5100 1451 90 HERE - 10 EV TO 100 MEV 5100 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5100 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 5100 1451 93 HERE - PHOTON INTERACTION 5100 1451 94 - AVERAGE FLUORESCENCE YIELD 5100 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5100 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5100 1451 97 HERE - NO SECONDARY ENERGY DATA 5100 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5100 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 5100 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 5100 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 5100 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5100 1451 103 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5100 1451 104 ORDER TO ALLOW CROSS SECTIONS DEFINED 5100 1451 105 BY SUMMATION (E.G., TOTAL) TO BE 5100 1451 106 CONSISTENTLY DEFINED AT ALL ENERGIES. 5100 1451 107 - FORM FACTORS ARE LOG X VS. LOG Y 5100 1451 108 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5100 1451 109 =================================================================5100 1451 110 REFERENCES 5100 1451 111 =================================================================5100 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5100 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5100 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5100 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5100 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5100 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5100 1451 118 5100 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5100 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5100 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5100 1451 122 OF THE DATA, ETC. 5100 1451 123 =================================================================5100 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5100 1451 125 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5100 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5100 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5100 1451 128 *RECONSTRUCTED MT NUMBERS 5100 1451 129 516 =+(515,515)+(517,517) 5100 1451 130 522 =+(534,572) 5100 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5100 1451 132 1 451 161 15100 1451 133 23 501 458 15100 1451 134 23 502 85 15100 1451 135 23 504 24 15100 1451 136 23 515 17 15100 1451 137 23 516 37 15100 1451 138 23 517 24 15100 1451 139 23 522 342 15100 1451 140 23 534 30 15100 1451 141 23 535 37 15100 1451 142 23 536 41 15100 1451 143 23 537 42 15100 1451 144 23 538 41 15100 1451 145 23 539 46 15100 1451 146 23 540 46 15100 1451 147 23 541 63 15100 1451 148 23 542 65 15100 1451 149 23 543 44 15100 1451 150 23 544 49 15100 1451 151 23 545 51 15100 1451 152 23 546 71 15100 1451 153 23 547 71 15100 1451 154 23 550 55 15100 1451 155 23 551 61 15100 1451 156 23 552 61 15100 1451 157 27 502 48 15100 1451 158 27 504 42 15100 1451 159 27 505 73 15100 1451 160 27 506 112 15100 1451 161 5100 1 0 162 5100 0 0 163 5.100000+4 1.207040+2 0 0 0 0510023501 164 0.000000+0 0.000000+0 0 0 1 1363510023501 165 1363 2 0 0 0 0510023501 166 1.000000+1 3.317120+7 1.091020+1 2.721900+7 1.149440+1 2.382190+7510023501 167 1.157780+1 2.333690+7 1.180930+1 2.210520+7 1.218810+1 2.003230+7510023501 168 1.243310+1 1.869150+7 1.292390+1 1.618850+7 1.296470+1 1.598040+7510023501 169 1.333500+1 1.430700+7 1.357550+1 1.355570+7 1.394860+1 1.252190+7510023501 170 1.447460+1 1.106440+7 1.462280+1 1.070990+7 1.468260+1 1.056690+7510023501 171 1.547610+1 8.899100+6 1.566590+1 8.562470+6 1.577330+1 8.371990+6510023501 172 1.581970+1 8.289690+6 1.588000+1 8.182750+6 1.592000+1 8.117660+6510023501 173 1.592000+1 8.518870+6 1.596990+1 8.426570+6 1.607610+1 8.230120+6510023501 174 1.619490+1 8.010370+6 1.635510+1 7.714030+6 1.640000+1 7.633240+6510023501 175 1.645580+1 7.532830+6 1.665850+1 7.220150+6 1.667770+1 7.191210+6510023501 176 1.683490+1 6.954200+6 1.703000+1 6.686130+6 1.721890+1 6.431020+6510023501 177 1.768550+1 5.814180+6 1.769710+1 5.799080+6 1.776160+1 5.727890+6510023501 178 1.816470+1 5.327370+6 1.860710+1 4.897110+6 1.890400+1 4.610900+6510023501 179 1.896430+1 4.560740+6 1.906030+1 4.489300+6 1.908640+1 4.470230+6510023501 180 1.976080+1 3.977280+6 1.980960+1 3.941790+6 2.000000+1 3.803300+6510023501 181 2.002740+1 3.783560+6 2.008330+1 3.749210+6 2.009980+1 3.740240+6510023501 182 2.075840+1 3.382010+6 2.147960+1 2.993150+6 2.156750+1 2.946040+6510023501 183 2.161660+1 2.923230+6 2.239560+1 2.598440+6 2.247580+1 2.565210+6510023501 184 2.252050+1 2.549100+6 2.303440+1 2.382510+6 2.362870+1 2.189850+6510023501 185 2.415830+1 2.019300+6 2.419440+1 2.009590+6 2.425300+1 1.995900+6510023501 186 2.464570+1 1.904170+6 2.508180+1 1.802300+6 2.557380+1 1.688330+6510023501 187 2.602540+1 1.583710+6 2.605090+1 1.578660+6 2.671590+1 1.462090+6510023501 188 2.712570+1 1.390250+6 2.738050+1 1.346060+6 2.739780+1 1.343460+6510023501 189 2.781530+1 1.287130+6 2.866940+1 1.171910+6 2.895140+1 1.133870+6510023501 190 2.910010+1 1.113810+6 2.910620+1 1.113100+6 2.952040+1 1.070760+6510023501 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2.600400-3 9.433161+3 7.492960-3510027506 2291 9.691081+3 1.908600-2 1.000000+4 3.550180-2 1.014340+4 3.767970-2510027506 2292 1.042510+4 3.819830-2 1.080010+4 4.037750-2 1.093350+4 3.728920-2510027506 2293 1.101010+4 3.168820-2 1.114750+4 1.730180-2 1.125320+4 6.804020-3510027506 2294 1.143200+4-3.556170-3 1.164590+4-1.419480-2 1.171530+4-1.748300-2510027506 2295 1.190550+4-3.192960-2 1.223530+4-5.989610-2 1.239480+4-7.549820-2510027506 2296 1.249010+4-8.725220-2 1.255820+4-9.770710-2 1.283370+4-1.327060-1510027506 2297 1.334400+4-2.039160-1 1.368290+4-2.491170-1 1.394780+4-2.892750-1510027506 2298 1.478380+4-3.961600-1 1.528530+4-4.687610-1 1.648430+4-6.248520-1510027506 2299 1.701190+4-6.985310-1 1.766950+4-8.019140-1 1.896570+4-9.939680-1510027506 2300 2.000500+4-1.144520+0 2.161060+4-1.411840+0 2.231870+4-1.527090+0510027506 2301 2.425490+4-1.913110+0 2.553600+4-2.232240+0 2.641690+4-2.504040+0510027506 2302 2.779570+4-3.072300+0 2.852780+4-3.526680+0 2.931240+4-4.299570+0510027506 2303 2.960260+4-4.764660+0 2.978650+4-5.186940+0 2.986850+4-5.430750+0510027506 2304 2.994920+4-5.714360+0 3.000480+4-5.936830+0 3.006140+4-6.183740+0510027506 2305 3.009930+4-6.356790+0 3.013420+4-6.520580+0 3.017590+4-6.716480+0510027506 2306 3.022930+4-6.955970+0 3.028780+4-7.191910+0 3.035350+4-7.400160+0510027506 2307 3.046710+4-7.535400+0 3.058070+4-7.377340+0 3.070830+4-6.919230+0510027506 2308 3.079000+4-6.501000+0 3.094720+4-5.757580+0 3.102210+4-5.404550+0510027506 2309 3.131250+4-4.488300+0 3.156650+4-3.939430+0 3.201110+4-3.272240+0510027506 2310 3.267790+4-2.582800+0 3.334480+4-2.107520+0 3.461430+4-1.462640+0510027506 2311 3.524910+4-1.212020+0 3.594930+4-1.000540+0 3.735160+4-6.431060-1510027506 2312 3.808550+4-4.844360-1 3.881930+4-3.631440-1 4.059290+4-1.180230-1510027506 2313 4.095430+4-6.731710-2 4.174360+4 5.551800-3 4.210140+4 3.860740-2510027506 2314 4.381390+4 1.992660-1 4.488780+4 2.889590-1 4.569330+4 3.399430-1510027506 2315 4.621010+4 3.553330-1 4.856630+4 4.706850-1 4.927560+4 4.948680-1510027506 2316 4.999450+4 5.035880-1 5.344670+4 5.968950-1 5.449170+4 5.984140-1510027506 2317 5.783260+4 6.493710-1 6.317300+4 6.566430-1 6.803000+4 6.538130-1510027506 2318 7.235960+4 6.562980-1 1.125820+5 4.451180-1 1.306770+5 3.701180-1510027506 2319 1.554920+5 2.931510-1 1.773480+5 2.415650-1 1.896570+5 2.179610-1510027506 2320 2.192450+5 1.734870-1 2.365370+5 1.534460-1 2.584380+5 1.321470-1510027506 2321 2.935690+5 1.046330-1 3.311840+5 8.243840-2 3.597000+5 7.000170-2510027506 2322 3.929530+5 5.838890-2 4.472140+5 4.344690-2 4.728760+5 3.809050-2510027506 2323 5.300350+5 2.855150-2 5.798350+5 2.232380-2 6.219690+5 1.790980-2510027506 2324 6.557950+5 1.505170-2 6.833710+5 1.303620-2 7.408430+5 9.444600-3510027506 2325 8.058490+5 6.193660-3 8.820400+5 3.276130-3 9.800550+5 4.749990-4510027506 2326 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0510027506 2327 510027 0 2328 5100 0 0 2329 0 0 0 2330 5.200000+4 1.265040+2 -1 0 0 15200 1451 1 0.000000+0 0.000000+0 0 0 0 65200 1451 2 0.000000+0 0.000000+0 0 0 3 65200 1451 3 0.000000+0 0.000000+0 0 0 128 295200 1451 4 52-TE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5200 1451 6 ----ENDF/B-VI MATERIAL 5200 5200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5200 1451 8 ------ENDF-6 FORMAT 5200 1451 9 =================================================================5200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5200 1451 11 ENDF/B-VI FORMAT 5200 1451 12 =================================================================5200 1451 13 CONTENTS 5200 1451 14 =================================================================5200 1451 15 MF/MT DESCRIPTION 5200 1451 16 =================================================================5200 1451 17 23/501 TOTAL CROSS SECTION 5200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5200 1451 41 =================================================================5200 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 5200 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 5200 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5200 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 5200 1451 46 =================================================================5200 1451 47 WARNING 5200 1451 48 =================================================================5200 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5200 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5200 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5200 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5200 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5200 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5200 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5200 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5200 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5200 1451 58 =================================================================5200 1451 59 DEFINITION OF NEW TYPES OF DATA 5200 1451 60 =================================================================5200 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5200 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5200 1451 63 5200 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5200 1451 65 C2 FIELDS ARE, 5200 1451 66 5200 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5200 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5200 1451 69 5200 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5200 1451 71 5200 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5200 1451 73 5200 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5200 1451 75 T = THE THOMSON CROSS SECTION 5200 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 5200 1451 77 FF(M) = THE ATOMIC FORM FACTOR 5200 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5200 1451 79 F1(E) = THE REAL SCATTERING FACTOR 5200 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 5200 1451 81 5200 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 5200 1451 83 5200 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5200 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5200 1451 86 =================================================================5200 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5200 1451 88 =================================================================5200 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5200 1451 90 HERE - 10 EV TO 100 MEV 5200 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5200 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 5200 1451 93 HERE - PHOTON INTERACTION 5200 1451 94 - AVERAGE FLUORESCENCE YIELD 5200 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5200 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5200 1451 97 HERE - NO SECONDARY ENERGY DATA 5200 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5200 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 5200 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 5200 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 5200 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5200 1451 103 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5200 1451 104 ORDER TO ALLOW CROSS SECTIONS DEFINED 5200 1451 105 BY SUMMATION (E.G., TOTAL) TO BE 5200 1451 106 CONSISTENTLY DEFINED AT ALL ENERGIES. 5200 1451 107 - FORM FACTORS ARE LOG X VS. LOG Y 5200 1451 108 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5200 1451 109 =================================================================5200 1451 110 REFERENCES 5200 1451 111 =================================================================5200 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5200 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5200 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5200 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5200 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5200 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5200 1451 118 5200 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5200 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5200 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5200 1451 122 OF THE DATA, ETC. 5200 1451 123 =================================================================5200 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5200 1451 125 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5200 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5200 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5200 1451 128 *RECONSTRUCTED MT NUMBERS 5200 1451 129 516 =+(515,515)+(517,517) 5200 1451 130 522 =+(534,572) 5200 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5200 1451 132 1 451 161 15200 1451 133 23 501 446 15200 1451 134 23 502 85 15200 1451 135 23 504 25 15200 1451 136 23 515 17 15200 1451 137 23 516 37 15200 1451 138 23 517 24 15200 1451 139 23 522 330 15200 1451 140 23 534 30 15200 1451 141 23 535 36 15200 1451 142 23 536 41 15200 1451 143 23 537 42 15200 1451 144 23 538 40 15200 1451 145 23 539 45 15200 1451 146 23 540 46 15200 1451 147 23 541 63 15200 1451 148 23 542 64 15200 1451 149 23 543 44 15200 1451 150 23 544 48 15200 1451 151 23 545 50 15200 1451 152 23 546 72 15200 1451 153 23 547 72 15200 1451 154 23 550 53 15200 1451 155 23 551 61 15200 1451 156 23 552 62 15200 1451 157 27 502 49 15200 1451 158 27 504 43 15200 1451 159 27 505 74 15200 1451 160 27 506 113 15200 1451 161 5200 1 0 162 5200 0 0 163 5.200000+4 1.265040+2 0 0 0 0520023501 164 0.000000+0 0.000000+0 0 0 1 1328520023501 165 1328 2 0 0 0 0520023501 166 1.000000+1 6.410000+7 1.069040+1 5.356950+7 1.091020+1 5.021690+7520023501 167 1.154780+1 4.302580+7 1.157780+1 4.268750+7 1.172590+1 4.126880+7520023501 168 1.199790+1 3.866320+7 1.243310+1 3.493850+7 1.293800+1 3.124360+7520023501 169 1.338340+1 2.798420+7 1.407860+1 2.407280+7 1.444050+1 2.203660+7520023501 170 1.476420+1 2.063810+7 1.556520+1 1.717750+7 1.566410+1 1.681320+7520023501 171 1.662690+1 1.361320+7 1.668290+1 1.344400+7 1.688590+1 1.293440+7520023501 172 1.756240+1 1.123620+7 1.772660+1 1.086440+7 1.802800+1 1.028380+7520023501 173 1.833380+1 9.694780+6 1.845000+1 9.470950+6 1.845000+1 9.694180+6520023501 174 1.869330+1 9.203340+6 1.874130+1 9.119540+6 1.877800+1 9.055470+6520023501 175 1.901660+1 8.685060+6 1.960070+1 7.791850+6 1.988080+1 7.368920+6520023501 176 1.991060+1 7.323920+6 1.998430+1 7.223820+6 2.000000+1 7.205830+6520023501 177 2.001080+1 7.193620+6 2.075020+1 6.357750+6 2.100650+1 6.069510+6520023501 178 2.113310+1 5.928340+6 2.143260+1 5.640730+6 2.196340+1 5.192410+6520023501 179 2.198430+1 5.174900+6 2.249040+1 4.751000+6 2.279560+1 4.529130+6520023501 180 2.283640+1 4.502830+6 2.309400+1 4.337920+6 2.356530+1 4.036200+6520023501 181 2.400770+1 3.793230+6 2.418900+1 3.694270+6 2.441560+1 3.570580+6520023501 182 2.527470+1 3.157630+6 2.538300+1 3.114470+6 2.620700+1 2.787730+6520023501 183 2.646600+1 2.695840+6 2.710810+1 2.469120+6 2.750320+1 2.352570+6520023501 184 2.773720+1 2.290260+6 2.810740+1 2.191670+6 2.817760+1 2.172980+6520023501 185 2.851740+1 2.083080+6 2.914350+1 1.937610+6 3.000000+1 1.761830+6520023501 186 3.054430+1 1.669910+6 3.109840+1 1.576340+6 3.166270+1 1.492600+6520023501 187 3.223710+1 1.407360+6 3.255960+1 1.367660+6 3.311840+1 1.298880+6520023501 188 3.402370+1 1.200680+6 3.463130+1 1.135450+6 3.471900+1 1.126030+6520023501 189 3.542840+1 1.061370+6 3.556300+1 1.050570+6 3.651980+1 9.737560+5520023501 190 3.746230+1 9.086060+5 3.764490+1 8.959840+5 3.789950+1 8.803760+5520023501 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6.478960+1 6.804750+3 5.630540+1520023552 1983 7.378210+3 4.561600+1 8.000000+3 3.695600+1 8.458970+3 3.175570+1520023552 1984 9.197270+3 2.529450+1 1.000000+4 2.014800+1 1.075580+4 1.636140+1520023552 1985 1.143200+4 1.374510+1 1.223530+4 1.132080+1 1.315870+4 9.195780+0520023552 1986 1.404920+4 7.626550+0 1.500000+4 6.325100+0 1.611850+4 5.096140+0520023552 1987 1.701190+4 4.333830+0 1.844550+4 3.398730+0 2.000000+4 2.665400+0520023552 1988 2.121270+4 2.214860+0 2.284300+4 1.754680+0 2.430340+4 1.443920+0520023552 1989 2.603990+4 1.162160+0 2.742320+4 9.875490-1 2.963720+4 7.735670-1520023552 1990 3.203000+4 6.059500-1 3.469850+4 4.657890-1 3.710210+4 3.737390-1520023552 1991 3.997530+4 2.924710-1 4.317140+4 2.271270-1 4.549590+4 1.911590-1520023552 1992 4.845120+4 1.554350-1 5.221370+4 1.209810-1 5.542310+4 9.879170-2520023552 1993 5.854120+4 8.203110-2 6.259340+4 6.534990-2 6.636860+4 5.356160-2520023552 1994 7.154890+4 4.149390-2 7.598520+4 3.382530-2 7.990890+4 2.850810-2520023552 1995 8.451750+4 2.356430-2 8.975050+4 1.921460-2 9.645960+4 1.504130-2520023552 1996 1.021900+5 1.236520-2 1.087560+5 1.001050-2 1.129770+5 8.797550-3520023552 1997 1.213370+5 6.905340-3 1.291590+5 5.586700-3 1.364150+5 4.641190-3520023552 1998 1.461240+5 3.675720-3 1.547780+5 3.023920-3 1.650210+5 2.433130-3520023552 1999 1.731460+5 2.067100-3 1.860890+5 1.618660-3 2.000000+5 1.267500-3520023552 2000 2.151150+5 1.001470-3 2.286410+5 8.222580-4 2.447070+5 6.601590-4520023552 2001 2.624580+5 5.263910-4 2.832940+5 4.111770-4 3.000000+5 3.416400-4520023552 2002 3.223710+5 2.745890-4 3.471900+5 2.191960-4 3.764490+5 1.714300-4520023552 2003 4.000000+5 1.425700-4 4.229490+5 1.216240-4 4.598630+5 9.583180-5520023552 2004 5.000000+5 7.550900-5 5.415170+5 6.098660-5 5.798350+5 5.078340-5520023552 2005 6.219690+5 4.240700-5 6.804750+5 3.397180-5 7.378210+5 2.782480-5520023552 2006 8.000000+5 2.279000-5 8.820400+5 1.831530-5 9.590240+5 1.518600-5520023552 2007 1.022000+6 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9.920060+2-2.422240+1520027506 2241 1.002160+3-2.348450+1 1.023280+3-2.197050+1 1.054590+3-2.062470+1520027506 2242 1.116220+3-1.875040+1 1.227790+3-1.640460+1 1.314590+3-1.502180+1520027506 2243 1.425870+3-1.376300+1 1.563530+3-1.255840+1 1.755300+3-1.156160+1520027506 2244 1.945270+3-1.096350+1 2.157980+3-1.054080+1 2.433030+3-1.046440+1520027506 2245 2.743060+3-1.067280+1 3.097330+3-1.118640+1 3.383760+3-1.196500+1520027506 2246 3.646190+3-1.305570+1 3.794240+3-1.397920+1 3.958070+3-1.525630+1520027506 2247 4.089240+3-1.687690+1 4.181210+3-1.862640+1 4.227890+3-2.003320+1520027506 2248 4.252770+3-2.115120+1 4.267760+3-2.202060+1 4.280240+3-2.286520+1520027506 2249 4.290600+3-2.362290+1 4.296550+3-2.406330+1 4.304140+3-2.460350+1520027506 2250 4.312480+3-2.514020+1 4.322760+3-2.564190+1 4.339980+3-2.604150+1520027506 2251 4.358130+3-2.571900+1 4.374940+3-2.485690+1 4.391060+3-2.379820+1520027506 2252 4.411440+3-2.254640+1 4.439340+3-2.125790+1 4.465270+3-2.055930+1520027506 2253 4.506450+3-2.000210+1 4.550770+3-2.019050+1 4.573960+3-2.048960+1520027506 2254 4.599190+3-2.076970+1 4.618920+3-2.067420+1 4.642400+3-2.006180+1520027506 2255 4.659710+3-1.938630+1 4.674440+3-1.878880+1 4.717820+3-1.723130+1520027506 2256 4.770660+3-1.608470+1 4.828770+3-1.547390+1 4.873940+3-1.546560+1520027506 2257 4.912880+3-1.524520+1 4.931790+3-1.489810+1 4.966620+3-1.389410+1520027506 2258 5.020100+3-1.234720+1 5.047720+3-1.174050+1 5.108540+3-1.069090+1520027506 2259 5.230440+3-9.174000+0 5.360120+3-7.897810+0 5.497620+3-6.785040+0520027506 2260 5.598550+3-6.086740+0 5.674010+3-5.628060+0 5.881980+3-4.627850+0520027506 2261 6.080600+3-3.764440+0 6.208040+3-3.304830+0 6.293340+3-3.083870+0520027506 2262 6.677270+3-2.120770+0 6.914400+3-1.673570+0 6.987300+3-1.581200+0520027506 2263 7.116550+3-1.427820+0 7.389260+3-1.076860+0 7.512630+3-9.378940-1520027506 2264 7.682891+3-8.007630-1 7.822250+3-7.000370-1 8.122320+3-5.188240-1520027506 2265 8.226281+3-4.657480-1 8.502220+3-3.540450-1 8.691020+3-2.681090-1520027506 2266 8.920981+3-1.787130-1 9.197270+3-9.660070-2 9.348470+3-5.096960-2520027506 2267 9.407831+3-4.176240-2 9.457420+3-3.495450-2 9.543121+3-2.159590-2520027506 2268 9.691081+3-4.390880-3 9.734031+3 9.961640-4 1.000000+4 2.754690-2520027506 2269 1.013620+4 4.157500-2 1.027570+4 5.168330-2 1.071940+4 6.099720-2520027506 2270 1.137360+4 4.474940-2 1.149780+4 3.624680-2 1.178210+4 8.758940-3520027506 2271 1.189710+4 2.874750-4 1.213860+4-1.877660-2 1.221190+4-2.393840-2520027506 2272 1.253420+4-4.949010-2 1.278270+4-7.920090-2 1.336370+4-1.336730-1520027506 2273 1.356890+4-1.569030-1 1.370870+4-1.737470-1 1.384730+4-1.943610-1520027506 2274 1.437210+4-2.598120-1 1.528530+4-3.748430-1 1.640150+4-5.063180-1520027506 2275 1.690920+4-5.778220-1 1.771420+4-6.802880-1 1.896570+4-8.703110-1520027506 2276 2.087520+4-1.132670+0 2.273870+4-1.427660+0 2.336360+4-1.526570+0520027506 2277 2.528100+4-1.896250+0 2.645850+4-2.168050+0 2.751030+4-2.470930+0520027506 2278 2.900490+4-3.062420+0 2.976890+4-3.517220+0 3.058760+4-4.287580+0520027506 2279 3.089040+4-4.751630+0 3.108240+4-5.173070+0 3.116790+4-5.416570+0520027506 2280 3.125210+4-5.699780+0 3.131020+4-5.921930+0 3.136920+4-6.168450+0520027506 2281 3.140880+4-6.341220+0 3.144520+4-6.504700+0 3.148870+4-6.700190+0520027506 2282 3.154440+4-6.939040+0 3.160550+4-7.174000+0 3.167410+4-7.379660+0520027506 2283 3.180820+4-7.512340+0 3.194230+4-7.283350+0 3.206650+4-6.798450+0520027506 2284 3.218560+4-6.225490+0 3.233620+4-5.546060+0 3.247980+4-4.994670+0520027506 2285 3.277160+4-4.238290+0 3.331150+4-3.389560+0 3.366510+4-2.986390+0520027506 2286 3.423950+4-2.482020+0 3.483770+4-2.093340+0 3.556410+4-1.715380+0520027506 2287 3.669560+4-1.239900+0 3.725210+4-1.052880+0 3.898220+4-6.371360-1520027506 2288 3.956590+4-5.179880-1 4.164600+4-2.010310-1 4.239420+4-1.022200-1520027506 2289 4.317140+4-2.918540-2 4.521330+4 1.642310-1 4.566050+4 2.074290-1520027506 2290 4.683290+4 3.041010-1 4.747040+4 3.467680-1 4.800160+4 3.711970-1520027506 2291 4.823300+4 3.753230-1 5.122900+4 4.905880-1 5.357270+4 5.541080-1520027506 2292 5.418780+4 5.552010-1 5.723910+4 6.162900-1 5.854120+4 6.324340-1520027506 2293 7.221810+4 6.656750-1 9.101570+4 5.757960-1 1.119940+5 4.661090-1520027506 2294 1.294640+5 3.921910-1 1.500310+5 3.233680-1 1.771420+5 2.557340-1520027506 2295 1.896570+5 2.304760-1 2.199390+5 1.828300-1 2.546110+5 1.439240-1520027506 2296 2.748680+5 1.255690-1 3.115560+5 9.905570-2 3.325450+5 8.708770-2520027506 2297 3.597000+5 7.453040-2 3.859300+5 6.447150-2 4.229490+5 5.289520-2520027506 2298 4.472140+5 4.631380-2 4.709850+5 4.091260-2 5.300350+5 3.045820-2520027506 2299 5.798350+5 2.380300-2 6.220980+5 1.909430-2 6.575800+5 1.589560-2520027506 2300 6.804750+5 1.410520-2 7.408430+5 1.007320-2 8.058490+5 6.609340-3520027506 2301 8.820400+5 3.505630-3 9.197270+5 2.321790-3 9.800550+5 5.108740-4520027506 2302 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0520027506 2303 520027 0 2304 5200 0 0 2305 0 0 0 2306 5.300000+4 1.258140+2 -1 0 0 15300 1451 1 0.000000+0 0.000000+0 0 0 0 65300 1451 2 0.000000+0 0.000000+0 0 0 3 65300 1451 3 0.000000+0 0.000000+0 0 0 128 295300 1451 4 53-I - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5300 1451 6 ----ENDF/B-VI MATERIAL 5300 5300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5300 1451 8 ------ENDF-6 FORMAT 5300 1451 9 =================================================================5300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5300 1451 11 ENDF/B-VI FORMAT 5300 1451 12 =================================================================5300 1451 13 CONTENTS 5300 1451 14 =================================================================5300 1451 15 MF/MT DESCRIPTION 5300 1451 16 =================================================================5300 1451 17 23/501 TOTAL CROSS SECTION 5300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5300 1451 41 =================================================================5300 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 5300 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 5300 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5300 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 5300 1451 46 =================================================================5300 1451 47 WARNING 5300 1451 48 =================================================================5300 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5300 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5300 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5300 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5300 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5300 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5300 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5300 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5300 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5300 1451 58 =================================================================5300 1451 59 DEFINITION OF NEW TYPES OF DATA 5300 1451 60 =================================================================5300 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5300 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5300 1451 63 5300 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5300 1451 65 C2 FIELDS ARE, 5300 1451 66 5300 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5300 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5300 1451 69 5300 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5300 1451 71 5300 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5300 1451 73 5300 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5300 1451 75 T = THE THOMSON CROSS SECTION 5300 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 5300 1451 77 FF(M) = THE ATOMIC FORM FACTOR 5300 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5300 1451 79 F1(E) = THE REAL SCATTERING FACTOR 5300 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 5300 1451 81 5300 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 5300 1451 83 5300 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5300 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5300 1451 86 =================================================================5300 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5300 1451 88 =================================================================5300 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5300 1451 90 HERE - 10 EV TO 100 MEV 5300 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5300 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 5300 1451 93 HERE - PHOTON INTERACTION 5300 1451 94 - AVERAGE FLUORESCENCE YIELD 5300 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5300 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5300 1451 97 HERE - NO SECONDARY ENERGY DATA 5300 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5300 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 5300 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 5300 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 5300 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5300 1451 103 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5300 1451 104 ORDER TO ALLOW CROSS SECTIONS DEFINED 5300 1451 105 BY SUMMATION (E.G., TOTAL) TO BE 5300 1451 106 CONSISTENTLY DEFINED AT ALL ENERGIES. 5300 1451 107 - FORM FACTORS ARE LOG X VS. LOG Y 5300 1451 108 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5300 1451 109 =================================================================5300 1451 110 REFERENCES 5300 1451 111 =================================================================5300 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5300 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5300 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5300 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5300 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5300 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5300 1451 118 5300 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5300 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5300 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5300 1451 122 OF THE DATA, ETC. 5300 1451 123 =================================================================5300 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5300 1451 125 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5300 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5300 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5300 1451 128 *RECONSTRUCTED MT NUMBERS 5300 1451 129 516 =+(515,515)+(517,517) 5300 1451 130 522 =+(534,572) 5300 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5300 1451 132 1 451 161 15300 1451 133 23 501 467 15300 1451 134 23 502 90 15300 1451 135 23 504 25 15300 1451 136 23 515 17 15300 1451 137 23 516 37 15300 1451 138 23 517 24 15300 1451 139 23 522 350 15300 1451 140 23 534 30 15300 1451 141 23 535 36 15300 1451 142 23 536 41 15300 1451 143 23 537 42 15300 1451 144 23 538 40 15300 1451 145 23 539 45 15300 1451 146 23 540 46 15300 1451 147 23 541 65 15300 1451 148 23 542 64 15300 1451 149 23 543 44 15300 1451 150 23 544 48 15300 1451 151 23 545 50 15300 1451 152 23 546 72 15300 1451 153 23 547 73 15300 1451 154 23 550 54 15300 1451 155 23 551 61 15300 1451 156 23 552 61 15300 1451 157 27 502 51 15300 1451 158 27 504 44 15300 1451 159 27 505 77 15300 1451 160 27 506 118 15300 1451 161 5300 1 0 162 5300 0 0 163 5.300000+4 1.258140+2 0 0 0 0530023501 164 0.000000+0 0.000000+0 0 0 1 1392530023501 165 1392 2 0 0 0 0530023501 166 1.000000+1 6.593260+7 1.034800+1 6.205460+7 1.057370+1 5.953960+7530023501 167 1.063580+1 5.884750+7 1.070440+1 5.808310+7 1.077000+1 5.735210+7530023501 168 1.077000+1 9.093591+7 1.080660+1 9.030060+7 1.086650+1 8.926080+7530023501 169 1.088110+1 8.900731+7 1.093710+1 8.803520+7 1.104380+1 8.618291+7530023501 170 1.138210+1 8.031030+7 1.179120+1 7.320860+7 1.218810+1 6.691930+7530023501 171 1.222300+1 6.636620+7 1.274320+1 5.911740+7 1.295930+1 5.627000+7530023501 172 1.356170+1 4.945520+7 1.394860+1 4.507840+7 1.409660+1 4.340410+7530023501 173 1.414770+1 4.286910+7 1.436120+1 4.106010+7 1.533820+1 3.278180+7530023501 174 1.554920+1 3.127000+7 1.630810+1 2.627080+7 1.640000+1 2.576140+7530023501 175 1.670270+1 2.408360+7 1.681220+1 2.354010+7 1.738620+1 2.069110+7530023501 176 1.777650+1 1.903870+7 1.831930+1 1.701470+7 1.876880+1 1.557170+7530023501 177 1.883960+1 1.534440+7 1.895610+1 1.497040+7 1.937470+1 1.376360+7530023501 178 1.980500+1 1.269340+7 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4.163700-3 4.229490+5 3.615270-3530023550 1929 4.598630+5 2.925050-3 5.000000+5 2.366600-3 5.477230+5 1.897820-3530023550 1930 6.000000+5 1.521900-3 6.623670+5 1.215410-3 7.085680+5 1.042640-3530023550 1931 7.682820+5 8.674180-4 8.226280+5 7.460580-4 9.197270+5 5.898780-4530023550 1932 1.022000+6 4.707670-4 1.144580+6 3.754300-4 1.250000+6 3.174330-4530023550 1933 1.369310+6 2.685590-4 1.500000+6 2.272100-4 1.701190+6 1.828500-4530023550 1934 1.894980+6 1.517890-4 2.044000+6 1.333980-4 2.332190+6 1.086150-4530023550 1935 2.693110+6 8.679840-5 3.000000+6 7.336340-5 3.464100+6 5.969250-5530023550 1936 4.000000+6 4.856910-5 4.472140+6 4.176420-5 5.000000+6 3.591270-5530023550 1937 5.732660+6 3.006630-5 6.480740+6 2.571540-5 7.483310+6 2.149500-5530023550 1938 8.485280+6 1.843940-5 1.000000+7 1.515110-5 1.148910+7 1.288490-5530023550 1939 1.349070+7 1.071300-5 1.600000+7 8.840060-6 1.897370+7 7.315500-6530023550 1940 2.200000+7 6.219940-6 2.600000+7 5.193530-6 3.000000+7 4.455910-6530023550 1941 3.464100+7 3.826820-6 4.229490+7 3.100440-6 5.000000+7 2.603030-6530023550 1942 6.000000+7 2.154760-6 6.928200+7 1.858090-6 8.458970+7 1.513400-6530023550 1943 1.000000+8 1.275320-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0530023550 1944 530023 0 1945 5.300000+4 1.258140+2 0 0 0 0530023551 1946 1.077000+1 0.000000+0 0 0 1 174530023551 1947 174 2 0 0 0 0530023551 1948 1.077000+1 0.000000+0 1.077000+1 3.358380+7 1.179120+1 2.723620+7530023551 1949 1.274320+1 2.275940+7 1.409660+1 1.742100+7 1.554920+1 1.291700+7530023551 1950 1.670270+1 1.000630+7 1.777650+1 7.918650+6 1.895610+1 6.220900+6530023551 1951 1.980500+1 5.277160+6 2.087400+1 4.331690+6 2.188530+1 3.636770+6530023551 1952 2.318800+1 2.949690+6 2.473020+1 2.336160+6 2.642810+1 1.836800+6530023551 1953 2.765220+1 1.559030+6 2.919600+1 1.280570+6 3.000000+1 1.160590+6530023551 1954 3.223710+1 9.055460+5 3.471900+1 7.010910+5 3.651980+1 5.888440+5530023551 1955 3.880460+1 4.776070+5 4.113140+1 3.922040+5 4.410200+1 3.113710+5530023551 1956 4.695850+1 2.529700+5 5.000000+1 2.055220+5 5.260010+1 1.760600+5530023551 1957 5.675590+1 1.395930+5 6.124000+1 1.106800+5 6.547370+1 9.260240+4530023551 1958 7.000000+1 7.747750+4 7.737350+1 6.167370+4 8.000000+1 5.715770+4530023551 1959 9.000000+1 4.562000+4 1.000000+2 3.839840+4 1.178660+2 3.087240+4530023551 1960 1.245040+2 2.870710+4 1.500000+2 2.362340+4 1.783810+2 2.018040+4530023551 1961 2.031380+2 1.793170+4 2.468630+2 1.501960+4 3.000000+2 1.258040+4530023551 1962 3.464100+2 1.075840+4 4.229490+2 8.608630+3 5.000000+2 7.052170+3530023551 1963 5.792970+2 5.788491+3 6.572020+2 4.887180+3 7.652860+2 3.920820+3530023551 1964 8.748060+2 3.198770+3 1.000000+3 2.609700+3 1.106680+3 2.193670+3530023551 1965 1.194100+3 1.925780+3 1.338340+3 1.584010+3 1.500000+3 1.302900+3530023551 1966 1.611850+3 1.139230+3 1.795470+3 9.314520+2 2.000000+3 7.615700+2530023551 1967 2.213360+3 6.206510+2 2.388200+3 5.323550+2 2.676670+3 4.228940+2530023551 1968 3.000000+3 3.359400+2 3.335800+3 2.658080+2 3.721500+3 2.087840+2530023551 1969 4.009740+3 1.770900+2 4.385250+3 1.453410+2 4.788530+3 1.201890+2530023551 1970 5.233180+3 9.839710+1 5.732660+3 7.915070+1 6.219690+3 6.488840+1530023551 1971 6.804750+3 5.183320+1 7.378210+3 4.234520+1 8.000000+3 3.459400+1530023551 1972 8.458970+3 2.990130+1 9.197270+3 2.402840+1 1.000000+4 1.930900+1530023551 1973 1.075580+4 1.580680+1 1.143200+4 1.336890+1 1.223530+4 1.109390+1530023551 1974 1.315870+4 9.084190+0 1.435930+4 7.147060+0 1.554920+4 5.714170+0530023551 1975 1.655920+4 4.764710+0 1.771420+4 3.921780+0 1.920700+4 3.104690+0530023551 1976 2.065140+4 2.506960+0 2.193050+4 2.089950+0 2.368880+4 1.654770+0530023551 1977 2.567520+4 1.296800+0 2.742030+4 1.062720+0 2.942180+4 8.585920-1530023551 1978 3.134790+4 7.086300-1 3.340000+4 5.848600-1 3.593740+4 4.635690-1530023551 1979 3.831530+4 3.782630-1 4.153100+4 2.928890-1 4.442880+4 2.364430-1530023551 1980 4.789460+4 1.862870-1 5.175200+4 1.456810-1 5.455880+4 1.231970-1530023551 1981 5.812850+4 1.007470-1 6.174290+4 8.301070-2 6.526510+4 6.931470-2530023551 1982 7.050160+4 5.393710-2 7.556110+4 4.305860-2 8.052229+4 3.501850-2530023551 1983 8.682260+4 2.741350-2 9.296400+4 2.195290-2 9.869320+4 1.807510-2530023551 1984 1.065660+5 1.408480-2 1.112180+5 1.225830-2 1.198550+5 9.613250-3530023551 1985 1.294640+5 7.481890-3 1.364540+5 6.306520-3 1.453410+5 5.137160-3530023551 1986 1.554920+5 4.132920-3 1.655920+5 3.379670-3 1.771420+5 2.724270-3530023551 1987 1.882240+5 2.243820-3 2.000000+5 1.848100-3 2.151150+5 1.475060-3530023551 1988 2.286410+5 1.221410-3 2.447070+5 9.899160-4 2.631750+5 7.903460-4530023551 1989 2.809850+5 6.453770-4 3.000000+5 5.270000-4 3.223710+5 4.264190-4530023551 1990 3.402370+5 3.637950-4 3.689100+5 2.866730-4 4.000000+5 2.259000-4530023551 1991 4.229490+5 1.932240-4 4.598630+5 1.528550-4 5.000000+5 1.209200-4530023551 1992 5.415170+5 9.771820-5 5.798350+5 8.140870-5 6.219690+5 6.791340-5530023551 1993 6.804750+5 5.423740-5 7.378210+5 4.430040-5 8.000000+5 3.618400-5530023551 1994 8.820400+5 2.888280-5 9.590240+5 2.380910-5 1.022000+6 2.057540-5530023551 1995 1.144580+6 1.640860-5 1.250000+6 1.387370-5 1.369310+6 1.173760-5530023551 1996 1.500000+6 9.930450-6 1.701190+6 7.991660-6 1.894980+6 6.634090-6530023551 1997 2.044000+6 5.830310-6 2.332190+6 4.747110-6 2.693110+6 3.793610-6530023551 1998 3.000000+6 3.206420-6 3.464100+6 2.608920-6 4.000000+6 2.122760-6530023551 1999 4.472140+6 1.825340-6 5.000000+6 1.569600-6 5.732660+6 1.314080-6530023551 2000 6.480740+6 1.123920-6 7.483310+6 9.394580-7 8.485280+6 8.059130-7530023551 2001 1.000000+7 6.621960-7 1.148910+7 5.631470-7 1.349070+7 4.682220-7530023551 2002 1.600000+7 3.863640-7 1.897370+7 3.197310-7 2.200000+7 2.718490-7530023551 2003 2.600000+7 2.269890-7 3.000000+7 1.947500-7 3.464100+7 1.672550-7530023551 2004 4.229490+7 1.355080-7 5.000000+7 1.137680-7 6.000000+7 9.417620-8530023551 2005 6.928200+7 8.120970-8 8.458970+7 6.614480-8 1.000000+8 5.573900-8530023551 2006 530023 0 2007 5.300000+4 1.258140+2 0 0 0 0530023552 2008 9.630000+0 0.000000+0 0 0 1 174530023552 2009 174 2 0 0 0 0530023552 2010 1.000000+1 6.593250+7 1.222300+1 4.116050+7 1.295930+1 3.436290+7530023552 2011 1.414770+1 2.560650+7 1.533820+1 1.921050+7 1.630810+1 1.526870+7530023552 2012 1.738620+1 1.201360+7 1.831930+1 9.877270+6 1.937470+1 8.008020+6530023552 2013 2.037650+1 6.630170+6 2.143000+1 5.489390+6 2.276540+1 4.410690+6530023552 2014 2.394670+1 3.672660+6 2.533470+1 2.995150+6 2.691110+1 2.407300+6530023552 2015 2.841360+1 1.977560+6 3.000000+1 1.624540+6 3.223710+1 1.275370+6530023552 2016 3.471900+1 9.937070+5 3.651980+1 8.382320+5 3.880460+1 6.834260+5530023552 2017 4.000000+1 6.170990+5 4.318900+1 4.893830+5 4.550780+1 4.178170+5530023552 2018 4.845540+1 3.456130+5 5.000000+1 3.143350+5 5.477230+1 2.493700+5530023552 2019 6.000000+1 1.978310+5 6.735370+1 1.564940+5 7.000000+1 1.447320+5530023552 2020 8.000000+1 1.164380+5 9.457420+1 9.366600+4 1.000000+2 8.711200+4530023552 2021 1.194100+2 7.246280+4 1.390190+2 6.188360+4 1.611850+2 5.340420+4530023552 2022 2.000000+2 4.348950+4 2.388200+2 3.612460+4 2.780380+2 3.081300+4530023552 2023 3.464100+2 2.388220+4 4.207960+2 1.871090+4 4.776390+2 1.575630+4530023552 2024 5.560760+2 1.282000+4 6.686340+2 9.757430+3 7.252150+2 8.590310+3530023552 2025 8.191890+2 7.096090+3 9.579860+2 5.525840+3 1.063000+3 4.629200+3530023552 2026 1.196590+3 3.737470+3 1.297170+3 3.230110+3 1.429090+3 2.711350+3530023552 2027 1.611850+3 2.160010+3 1.795470+3 1.751410+3 2.000000+3 1.420100+3530023552 2028 2.213360+3 1.148660+3 2.457260+3 9.229660+2 2.638790+3 7.950770+2530023552 2029 2.874410+3 6.647780+2 3.163450+3 5.386360+2 3.471190+3 4.359060+2530023552 2030 3.819950+3 3.504450+2 4.240480+3 2.762040+2 4.742680+3 2.127920+2530023552 2031 5.158200+3 1.732320+2 5.563200+3 1.439580+2 6.000000+3 1.196300+2530023552 2032 6.447420+3 9.934650+1 6.804750+3 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65400 1451 3 0.000000+0 0.000000+0 0 0 128 295400 1451 4 54-XE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5400 1451 6 ----ENDF/B-VI MATERIAL 5400 5400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5400 1451 8 ------ENDF-6 FORMAT 5400 1451 9 =================================================================5400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5400 1451 11 ENDF/B-VI FORMAT 5400 1451 12 =================================================================5400 1451 13 CONTENTS 5400 1451 14 =================================================================5400 1451 15 MF/MT DESCRIPTION 5400 1451 16 =================================================================5400 1451 17 23/501 TOTAL CROSS SECTION 5400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5400 1451 41 =================================================================5400 1451 42 27/502 COHERENT SCATTERING FORM FACTORS 5400 1451 43 27/504 INCOHERENT SCATTERING FUNCTIONS 5400 1451 44 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5400 1451 45 27/506 COHERENT REAL SCATTERING FACTOR 5400 1451 46 =================================================================5400 1451 47 WARNING 5400 1451 48 =================================================================5400 1451 49 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5400 1451 50 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5400 1451 51 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5400 1451 52 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5400 1451 53 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5400 1451 54 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5400 1451 55 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5400 1451 56 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5400 1451 57 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5400 1451 58 =================================================================5400 1451 59 DEFINITION OF NEW TYPES OF DATA 5400 1451 60 =================================================================5400 1451 61 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5400 1451 62 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5400 1451 63 5400 1451 64 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5400 1451 65 C2 FIELDS ARE, 5400 1451 66 5400 1451 67 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5400 1451 68 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5400 1451 69 5400 1451 70 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5400 1451 71 5400 1451 72 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5400 1451 73 5400 1451 74 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5400 1451 75 T = THE THOMSON CROSS SECTION 5400 1451 76 MU = THE COSINE OF THE SCATTERING ANGLE 5400 1451 77 FF(M) = THE ATOMIC FORM FACTOR 5400 1451 78 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5400 1451 79 F1(E) = THE REAL SCATTERING FACTOR 5400 1451 80 F2(E) = THE IMAGINARY SCATTERING FACTOR 5400 1451 81 5400 1451 82 F1(E) AND F2(E) ARE ISOTROPIC. 5400 1451 83 5400 1451 84 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5400 1451 85 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5400 1451 86 =================================================================5400 1451 87 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5400 1451 88 =================================================================5400 1451 89 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5400 1451 90 HERE - 10 EV TO 100 MEV 5400 1451 91 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5400 1451 92 - FLUORESCENCE AND ELECTRON SPECTRA 5400 1451 93 HERE - PHOTON INTERACTION 5400 1451 94 - AVERAGE FLUORESCENCE YIELD 5400 1451 95 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5400 1451 96 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5400 1451 97 HERE - NO SECONDARY ENERGY DATA 5400 1451 98 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5400 1451 99 INTERPOLABLE - SUMMATION CROSS SECTIONS 5400 1451 100 (E.G., TOTAL) ARE NOT INCLUDED 5400 1451 101 - FORM FACTORS ARE LOG X VS. LOG Y 5400 1451 102 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5400 1451 103 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5400 1451 104 ORDER TO ALLOW CROSS SECTIONS DEFINED 5400 1451 105 BY SUMMATION (E.G., TOTAL) TO BE 5400 1451 106 CONSISTENTLY DEFINED AT ALL ENERGIES. 5400 1451 107 - FORM FACTORS ARE LOG X VS. LOG Y 5400 1451 108 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5400 1451 109 =================================================================5400 1451 110 REFERENCES 5400 1451 111 =================================================================5400 1451 112 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5400 1451 113 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5400 1451 114 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5400 1451 115 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5400 1451 116 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5400 1451 117 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5400 1451 118 5400 1451 119 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5400 1451 120 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5400 1451 121 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5400 1451 122 OF THE DATA, ETC. 5400 1451 123 =================================================================5400 1451 124 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5400 1451 125 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5400 1451 126 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5400 1451 127 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5400 1451 128 *RECONSTRUCTED MT NUMBERS 5400 1451 129 516 =+(515,515)+(517,517) 5400 1451 130 522 =+(534,572) 5400 1451 131 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5400 1451 132 1 451 161 15400 1451 133 23 501 502 15400 1451 134 23 502 100 15400 1451 135 23 504 25 15400 1451 136 23 515 17 15400 1451 137 23 516 36 15400 1451 138 23 517 23 15400 1451 139 23 522 370 15400 1451 140 23 534 30 15400 1451 141 23 535 36 15400 1451 142 23 536 40 15400 1451 143 23 537 42 15400 1451 144 23 538 40 15400 1451 145 23 539 45 15400 1451 146 23 540 45 15400 1451 147 23 541 65 15400 1451 148 23 542 59 15400 1451 149 23 543 45 15400 1451 150 23 544 48 15400 1451 151 23 545 50 15400 1451 152 23 546 72 15400 1451 153 23 547 73 15400 1451 154 23 550 53 15400 1451 155 23 551 60 15400 1451 156 23 552 62 15400 1451 157 27 502 51 15400 1451 158 27 504 45 15400 1451 159 27 505 99 15400 1451 160 27 506 149 15400 1451 161 5400 1 0 162 5400 0 0 163 5.400000+4 1.301720+2 0 0 0 0540023501 164 0.000000+0 0.000000+0 0 0 1 1495540023501 165 1495 2 0 0 0 0540023501 166 1.000000+1 2.612360+1 1.017630+1 3.415760+1 1.037220+1 4.576450+1540023501 167 1.053300+1 5.830210+1 1.062440+1 7.123660+1 1.069480+1 8.610260+1540023501 168 1.075060+1 1.039690+2 1.080000+1 1.271540+2 1.086060+1 1.664860+2540023501 169 1.091490+1 2.050190+2 1.096000+1 2.288990+2 1.096000+1 8.271490+7540023501 170 1.100520+1 8.217650+7 1.107870+1 8.130080+7 1.117190+1 8.019050+7540023501 171 1.133400+1 7.825930+7 1.154780+1 7.571220+7 1.160700+1 7.500690+7540023501 172 1.200850+1 7.022370+7 1.214530+1 6.859400+7 1.221030+1 6.781960+7540023501 173 1.227400+1 6.706080+7 1.235000+1 6.615540+7 1.235000+1 1.057090+8540023501 174 1.238970+1 1.050060+8 1.245360+1 1.038750+8 1.251480+1 1.027920+8540023501 175 1.260000+1 1.012830+8 1.281280+1 9.722580+7 1.329170+1 8.809511+7540023501 176 1.345130+1 8.505210+7 1.377710+1 7.962990+7 1.407860+1 7.487160+7540023501 177 1.432380+1 7.100190+7 1.467660+1 6.543400+7 1.545040+1 5.486150+7540023501 178 1.554920+1 5.367840+7 1.606530+1 4.783500+7 1.633160+1 4.481990+7540023501 179 1.688590+1 3.942570+7 1.701180+1 3.820050+7 1.714380+1 3.705300+7540023501 180 1.795470+1 3.105470+7 1.824560+1 2.907640+7 1.888950+1 2.526840+7540023501 181 1.894980+1 2.495280+7 1.912490+1 2.414750+7 1.988080+1 2.067140+7540023501 182 2.000000+1 2.012320+7 2.007150+1 1.983580+7 2.070960+1 1.770240+7540023501 183 2.131790+1 1.566860+7 2.136790+1 1.551810+7 2.226600+1 1.320790+7540023501 184 2.229950+1 1.312940+7 2.309400+1 1.150920+7 2.337610+1 1.093390+7540023501 185 2.345950+1 1.076390+7 2.347130+1 1.074230+7 2.361000+1 1.052870+7540023501 186 2.361000+1 1.061250+7 2.460230+1 9.065270+6 2.475080+1 8.834490+6540023501 187 2.563630+1 7.826310+6 2.595290+1 7.467580+6 2.651080+1 6.835450+6540023501 188 2.673870+1 6.645240+6 2.711660+1 6.330380+6 2.773720+1 5.815090+6540023501 189 2.820150+1 5.429580+6 2.834230+1 5.342100+6 2.915940+1 4.836430+6540023501 190 2.943690+1 4.664690+6 3.000000+1 4.317040+6 3.109840+1 3.848190+6540023501 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4.918980-2 1.264160+4 4.587420-2540027506 2440 1.283020+4 3.312770-2 1.297820+4 2.215950-2 1.315870+4 1.067560-2540027506 2441 1.332070+4 1.169380-3 1.334400+4-2.159390-4 1.348300+4-7.965410-3540027506 2442 1.373550+4-2.566250-2 1.386170+4-3.688500-2 1.408410+4-6.498230-2540027506 2443 1.445580+4-9.884080-2 1.451910+4-1.040950-1 1.500000+4-1.518420-1540027506 2444 1.532380+4-1.887490-1 1.550130+4-2.132320-1 1.560150+4-2.299710-1540027506 2445 1.587810+4-2.653660-1 1.709730+4-4.030050-1 1.771420+4-4.749700-1540027506 2446 1.872540+4-5.920190-1 1.939760+4-6.681500-1 2.097290+4-8.819060-1540027506 2447 2.277240+4-1.116580+0 2.495490+4-1.440310+0 2.566770+4-1.556160+0540027506 2448 2.727880+4-1.837490+0 2.895760+4-2.202750+0 2.988890+4-2.449200+0540027506 2449 3.151370+4-3.037000+0 3.234370+4-3.491200+0 3.323330+4-4.263090+0540027506 2450 3.356230+4-4.727750+0 3.377280+4-5.154080+0 3.389580+4-5.486250+0540027506 2451 3.398310+4-5.771370+0 3.405150+4-6.022280+0 3.408250+4-6.144120+0540027506 2452 3.412550+4-6.316790+0 3.416500+4-6.480180+0 3.421240+4-6.675590+0540027506 2453 3.427290+4-6.914360+0 3.433920+4-7.149320+0 3.441370+4-7.355400+0540027506 2454 3.455530+4-7.488640+0 3.469680+4-7.278450+0 3.482790+4-6.820980+0540027506 2455 3.495360+4-6.268180+0 3.511260+4-5.598780+0 3.526420+4-5.044990+0540027506 2456 3.548730+4-4.456690+0 3.594670+4-3.688380+0 3.627150+4-3.283940+0540027506 2457 3.691200+4-2.681220+0 3.787270+4-2.031970+0 3.883350+4-1.576020+0540027506 2458 3.953180+4-1.323670+0 4.023010+4-1.117570+0 4.184790+4-7.192230-1540027506 2459 4.264980+4-5.544750-1 4.353090+4-4.193670-1 4.532860+4-1.751840-1540027506 2460 4.673270+4-1.382220-2 4.710190+4 1.386310-2 4.994840+4 2.305940-1540027506 2461 5.039020+4 2.579210-1 5.133660+4 2.954390-1 5.348390+4 4.060080-1540027506 2462 5.445020+4 4.458190-1 5.509840+4 4.596660-1 5.825770+4 5.583080-1540027506 2463 6.263230+4 6.197090-1 6.395620+4 6.216090-1 6.732980+4 6.554990-1540027506 2464 8.083000+4 6.468230-1 1.257080+5 4.459300-1 1.465310+5 3.688540-1540027506 2465 1.697400+5 3.033940-1 1.962380+5 2.435960-1 2.242480+5 1.965850-1540027506 2466 2.447070+5 1.710070-1 2.631750+5 1.512850-1 3.024100+5 1.181310-1540027506 2467 3.280470+5 1.011810-1 3.510790+5 8.821930-2 3.796950+5 7.479190-2540027506 2468 4.249200+5 5.911600-2 4.500800+5 5.175050-2 5.031980+5 3.914340-2540027506 2469 5.477230+5 3.123670-2 5.873780+5 2.554770-2 6.219690+5 2.160160-2540027506 2470 7.085680+5 1.353770-2 7.890630+5 8.257860-3 8.238340+5 6.455290-3540027506 2471 9.076530+5 2.919290-3 9.724920+5 8.571350-4 1.000000+6 0.000000+0540027506 2472 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0540027506 2473 540027 0 2474 5400 0 0 2475 0 0 0 2476 5.500000+4 1.317640+2 -1 0 0 15500 1451 1 0.000000+0 0.000000+0 0 0 0 65500 1451 2 0.000000+0 0.000000+0 0 0 3 65500 1451 3 0.000000+0 0.000000+0 0 0 129 305500 1451 4 55-CS- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5500 1451 6 ----ENDF/B-VI MATERIAL 5500 5500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5500 1451 8 ------ENDF-6 FORMAT 5500 1451 9 =================================================================5500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5500 1451 11 ENDF/B-VI FORMAT 5500 1451 12 =================================================================5500 1451 13 CONTENTS 5500 1451 14 =================================================================5500 1451 15 MF/MT DESCRIPTION 5500 1451 16 =================================================================5500 1451 17 23/501 TOTAL CROSS SECTION 5500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 41 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5500 1451 42 =================================================================5500 1451 43 27/502 COHERENT SCATTERING FORM FACTORS 5500 1451 44 27/504 INCOHERENT SCATTERING FUNCTIONS 5500 1451 45 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5500 1451 46 27/506 COHERENT REAL SCATTERING FACTOR 5500 1451 47 =================================================================5500 1451 48 WARNING 5500 1451 49 =================================================================5500 1451 50 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5500 1451 51 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5500 1451 52 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5500 1451 53 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5500 1451 54 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5500 1451 55 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5500 1451 56 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5500 1451 57 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5500 1451 58 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5500 1451 59 =================================================================5500 1451 60 DEFINITION OF NEW TYPES OF DATA 5500 1451 61 =================================================================5500 1451 62 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5500 1451 63 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5500 1451 64 5500 1451 65 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5500 1451 66 C2 FIELDS ARE, 5500 1451 67 5500 1451 68 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5500 1451 69 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5500 1451 70 5500 1451 71 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5500 1451 72 5500 1451 73 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5500 1451 74 5500 1451 75 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5500 1451 76 T = THE THOMSON CROSS SECTION 5500 1451 77 MU = THE COSINE OF THE SCATTERING ANGLE 5500 1451 78 FF(M) = THE ATOMIC FORM FACTOR 5500 1451 79 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5500 1451 80 F1(E) = THE REAL SCATTERING FACTOR 5500 1451 81 F2(E) = THE IMAGINARY SCATTERING FACTOR 5500 1451 82 5500 1451 83 F1(E) AND F2(E) ARE ISOTROPIC. 5500 1451 84 5500 1451 85 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5500 1451 86 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5500 1451 87 =================================================================5500 1451 88 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5500 1451 89 =================================================================5500 1451 90 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5500 1451 91 HERE - 10 EV TO 100 MEV 5500 1451 92 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5500 1451 93 - FLUORESCENCE AND ELECTRON SPECTRA 5500 1451 94 HERE - PHOTON INTERACTION 5500 1451 95 - AVERAGE FLUORESCENCE YIELD 5500 1451 96 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5500 1451 97 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5500 1451 98 HERE - NO SECONDARY ENERGY DATA 5500 1451 99 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5500 1451 100 INTERPOLABLE - SUMMATION CROSS SECTIONS 5500 1451 101 (E.G., TOTAL) ARE NOT INCLUDED 5500 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 5500 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5500 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5500 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 5500 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 5500 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 5500 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 5500 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5500 1451 110 =================================================================5500 1451 111 REFERENCES 5500 1451 112 =================================================================5500 1451 113 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5500 1451 114 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5500 1451 115 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5500 1451 116 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5500 1451 117 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5500 1451 118 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5500 1451 119 5500 1451 120 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5500 1451 121 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5500 1451 122 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5500 1451 123 OF THE DATA, ETC. 5500 1451 124 =================================================================5500 1451 125 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5500 1451 126 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5500 1451 127 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5500 1451 128 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5500 1451 129 *RECONSTRUCTED MT NUMBERS 5500 1451 130 516 =+(515,515)+(517,517) 5500 1451 131 522 =+(534,572) 5500 1451 132 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5500 1451 133 1 451 163 15500 1451 134 23 501 496 15500 1451 135 23 502 105 15500 1451 136 23 504 24 15500 1451 137 23 515 17 15500 1451 138 23 516 37 15500 1451 139 23 517 23 15500 1451 140 23 522 363 15500 1451 141 23 534 30 15500 1451 142 23 535 35 15500 1451 143 23 536 41 15500 1451 144 23 537 42 15500 1451 145 23 538 40 15500 1451 146 23 539 44 15500 1451 147 23 540 46 15500 1451 148 23 541 56 15500 1451 149 23 542 56 15500 1451 150 23 543 44 15500 1451 151 23 544 48 15500 1451 152 23 545 49 15500 1451 153 23 546 75 15500 1451 154 23 547 76 15500 1451 155 23 550 50 15500 1451 156 23 551 59 15500 1451 157 23 552 61 15500 1451 158 23 559 49 15500 1451 159 27 502 49 15500 1451 160 27 504 42 15500 1451 161 27 505 90 15500 1451 162 27 506 138 15500 1451 163 5500 1 0 164 5500 0 0 165 5.500000+4 1.317640+2 0 0 0 0550023501 166 0.000000+0 0.000000+0 0 0 1 1478550023501 167 1478 2 0 0 0 0550023501 168 1.000000+1 9.304090+3 1.036650+1 9.415290+3 1.084670+1 9.561140+3550023501 169 1.126570+1 9.688550+3 1.175130+1 9.836430+3 1.212920+1 9.951710+3550023501 170 1.218810+1 9.969720+3 1.271900+1 1.013200+4 1.333740+1 1.032170+4550023501 171 1.355400+1 1.038900+4 1.367630+1 1.040230+4 1.393610+1 1.043110+4550023501 172 1.394860+1 1.043250+4 1.433500+1 1.047610+4 1.474540+1 1.052390+4550023501 173 1.493440+1 1.054830+4 1.522240+1 1.058760+4 1.551590+1 1.063060+4550023501 174 1.570910+1 1.066780+4 1.590480+1 1.071090+4 1.599810+1 1.073980+4550023501 175 1.607530+1 1.077130+4 1.614550+1 1.081010+4 1.620580+1 1.085450+4550023501 176 1.629590+1 1.093990+4 1.636260+1 1.100720+4 1.640000+1 1.103800+4550023501 177 1.642040+1 1.105480+4 1.643000+1 1.105990+4 1.643000+1 5.340560+7550023501 178 1.647810+1 5.254010+7 1.654580+1 5.132200+7 1.663310+1 4.975120+7550023501 179 1.676000+1 4.746780+7 1.679070+1 4.691540+7 1.686260+1 4.562170+7550023501 180 1.686830+1 4.554000+7 1.711270+1 4.203990+7 1.743210+1 3.746570+7550023501 181 1.753300+1 3.602070+7 1.753990+1 3.594570+7 1.790550+1 3.196970+7550023501 182 1.802060+1 3.071800+7 1.808900+1 2.997420+7 1.815580+1 2.924770+7550023501 183 1.823000+1 2.844080+7 1.827000+1 2.816470+7 1.827000+1 4.783600+7550023501 184 1.831840+1 4.734250+7 1.839440+1 4.656760+7 1.849900+1 4.550110+7550023501 185 1.853250+1 4.515950+7 1.884450+1 4.197830+7 1.909450+1 3.942920+7550023501 186 1.945610+1 3.635570+7 1.955270+1 3.553460+7 1.980960+1 3.351010+7550023501 187 2.000000+1 3.200960+7 2.012880+1 3.110930+7 2.077490+1 2.659300+7550023501 188 2.103980+1 2.499090+7 2.123530+1 2.397500+7 2.151150+1 2.253970+7550023501 189 2.193310+1 2.061710+7 2.213360+1 1.970270+7 2.248700+1 1.836330+7550023501 190 2.299120+1 1.662490+7 2.425300+1 1.339930+7 2.434020+1 1.317640+7550023501 191 2.436920+1 1.311300+7 2.446950+1 1.292160+7 2.576840+1 1.044350+7550023501 192 2.582970+1 1.034870+7 2.763730+1 8.060460+6 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5.341120+3-2.016410+1 5.366610+3-1.999450+1 5.394450+3-1.932360+1550027506 2432 5.418590+3-1.848760+1 5.462130+3-1.697950+1 5.508090+3-1.596230+1550027506 2433 5.581290+3-1.515140+1 5.633310+3-1.510650+1 5.661500+3-1.510580+1550027506 2434 5.683370+3-1.493450+1 5.705250+3-1.457900+1 5.753950+3-1.335850+1550027506 2435 5.809850+3-1.210340+1 5.890850+3-1.077580+1 6.018410+3-9.210550+0550027506 2436 6.219690+3-7.412360+0 6.384390+3-6.336790+0 6.663710+3-4.909950+0550027506 2437 6.831800+3-4.200860+0 7.028030+3-3.565980+0 7.323971+3-2.740480+0550027506 2438 7.426900+3-2.523200+0 7.644810+3-2.121560+0 7.958060+3-1.601070+0550027506 2439 8.068080+3-1.468620+0 8.240560+3-1.302220+0 8.458970+3-1.063770+0550027506 2440 8.729191+3-8.179300-1 8.909111+3-7.101350-1 9.021340+3-6.345220-1550027506 2441 9.398571+3-4.185920-1 9.499290+3-3.676600-1 9.809121+3-2.236250-1550027506 2442 1.000000+4-1.616830-1 1.028680+4-8.585690-2 1.042250+4-5.489170-2550027506 2443 1.052170+4-3.363290-2 1.058090+4-2.044380-2 1.077230+4 2.422710-2550027506 2444 1.080010+4 2.885980-2 1.106680+4 5.309080-2 1.143200+4 7.398200-2550027506 2445 1.194100+4 9.317760-2 1.199440+4 9.395730-2 1.230160+4 8.664690-2550027506 2446 1.284250+4 7.938470-2 1.324810+4 6.116200-2 1.358550+4 3.073930-2550027506 2447 1.382980+4 1.758200-2 1.404920+4 4.211010-3 1.418540+4-3.613220-3550027506 2448 1.426650+4-8.198930-3 1.444910+4-1.757460-2 1.464640+4-2.753950-2550027506 2449 1.491160+4-4.590230-2 1.510740+4-6.646270-2 1.536920+4-9.118650-2550027506 2450 1.616270+4-1.724610-1 1.649130+4-2.110450-1 1.679880+4-2.526050-1550027506 2451 1.701190+4-2.783040-1 1.779270+4-3.653150-1 1.833620+4-4.332340-1550027506 2452 1.947600+4-5.625470-1 2.075700+4-7.268490-1 2.250130+4-9.480510-1550027506 2453 2.378510+4-1.105410+0 2.613260+4-1.439840+0 2.782670+4-1.717560+0550027506 2454 2.854000+4-1.842200+0 3.000000+4-2.143290+0 3.113830+4-2.436610+0550027506 2455 3.288400+4-3.060840+0 3.368120+4-3.479420+0 3.460760+4-4.250840+0550027506 2456 3.495030+4-4.715230+0 3.516740+4-5.136590+0 3.529740+4-5.473160+0550027506 2457 3.538850+4-5.758000+0 3.545960+4-6.008580+0 3.550980+4-6.199130+0550027506 2458 3.553670+4-6.302650+0 3.557790+4-6.465760+0 3.562720+4-6.660780+0550027506 2459 3.569020+4-6.898990+0 3.575930+4-7.133180+0 3.583690+4-7.337690+0550027506 2460 3.599100+4-7.468880+0 3.615000+4-7.209360+0 3.632050+4-6.604320+0550027506 2461 3.640650+4-6.220450+0 3.659040+4-5.501380+0 3.675720+4-4.947900+0550027506 2462 3.706180+4-4.258350+0 3.762300+4-3.455590+0 3.811700+4-2.955100+0550027506 2463 3.898160+4-2.305600+0 3.967650+4-1.912080+0 4.060260+4-1.491770+0550027506 2464 4.157530+4-1.182050+0 4.364160+4-6.864840-1 4.467470+4-4.831630-1550027506 2465 4.570790+4-3.349970-1 4.799590+4-7.066630-2 4.844870+4-3.483460-2550027506 2466 4.894740+4 5.296150-3 5.072410+4 1.508800-1 5.170680+4 2.239400-1550027506 2467 5.221370+4 2.551290-1 5.321240+4 2.966750-1 5.504240+4 3.915920-1550027506 2468 5.610030+4 4.383050-1 5.667930+4 4.562120-1 5.725690+4 4.642340-1550027506 2469 6.064540+4 5.614630-1 6.194650+4 5.728750-1 6.556320+4 6.325560-1550027506 2470 7.183360+4 6.577690-1 8.239540+4 6.421480-1 1.132640+5 5.193060-1550027506 2471 1.439670+5 3.952830-1 1.714900+5 3.137080-1 1.962380+5 2.563640-1550027506 2472 2.242480+5 2.071760-1 2.421210+5 1.834640-1 2.636950+5 1.593080-1550027506 2473 3.024100+5 1.250450-1 3.280700+5 1.071760-1 3.537640+5 9.216470-2550027506 2474 3.796950+5 7.934680-2 4.248600+5 6.283990-2 4.451860+5 5.632410-2550027506 2475 5.031980+5 4.164540-2 5.477230+5 3.331310-2 6.000000+5 2.550520-2550027506 2476 6.593970+5 1.920380-2 7.085680+5 1.454680-2 7.890630+5 8.948200-3550027506 2477 8.239580+5 6.981200-3 9.076530+5 3.172870-3 9.771340+5 7.684890-4550027506 2478 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0550027506 2479 550027 0 2480 5500 0 0 2481 0 0 0 2482 5.600000+4 1.361600+2 -1 0 0 15600 1451 1 0.000000+0 0.000000+0 0 0 0 65600 1451 2 0.000000+0 0.000000+0 0 0 3 65600 1451 3 0.000000+0 0.000000+0 0 0 129 305600 1451 4 56-BA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5600 1451 6 ----ENDF/B-VI MATERIAL 5600 5600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5600 1451 8 ------ENDF-6 FORMAT 5600 1451 9 =================================================================5600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5600 1451 11 ENDF/B-VI FORMAT 5600 1451 12 =================================================================5600 1451 13 CONTENTS 5600 1451 14 =================================================================5600 1451 15 MF/MT DESCRIPTION 5600 1451 16 =================================================================5600 1451 17 23/501 TOTAL CROSS SECTION 5600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 41 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5600 1451 42 =================================================================5600 1451 43 27/502 COHERENT SCATTERING FORM FACTORS 5600 1451 44 27/504 INCOHERENT SCATTERING FUNCTIONS 5600 1451 45 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5600 1451 46 27/506 COHERENT REAL SCATTERING FACTOR 5600 1451 47 =================================================================5600 1451 48 WARNING 5600 1451 49 =================================================================5600 1451 50 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5600 1451 51 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5600 1451 52 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5600 1451 53 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5600 1451 54 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5600 1451 55 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5600 1451 56 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5600 1451 57 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5600 1451 58 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5600 1451 59 =================================================================5600 1451 60 DEFINITION OF NEW TYPES OF DATA 5600 1451 61 =================================================================5600 1451 62 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5600 1451 63 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5600 1451 64 5600 1451 65 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5600 1451 66 C2 FIELDS ARE, 5600 1451 67 5600 1451 68 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5600 1451 69 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5600 1451 70 5600 1451 71 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5600 1451 72 5600 1451 73 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5600 1451 74 5600 1451 75 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5600 1451 76 T = THE THOMSON CROSS SECTION 5600 1451 77 MU = THE COSINE OF THE SCATTERING ANGLE 5600 1451 78 FF(M) = THE ATOMIC FORM FACTOR 5600 1451 79 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5600 1451 80 F1(E) = THE REAL SCATTERING FACTOR 5600 1451 81 F2(E) = THE IMAGINARY SCATTERING FACTOR 5600 1451 82 5600 1451 83 F1(E) AND F2(E) ARE ISOTROPIC. 5600 1451 84 5600 1451 85 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5600 1451 86 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5600 1451 87 =================================================================5600 1451 88 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5600 1451 89 =================================================================5600 1451 90 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5600 1451 91 HERE - 10 EV TO 100 MEV 5600 1451 92 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5600 1451 93 - FLUORESCENCE AND ELECTRON SPECTRA 5600 1451 94 HERE - PHOTON INTERACTION 5600 1451 95 - AVERAGE FLUORESCENCE YIELD 5600 1451 96 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5600 1451 97 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5600 1451 98 HERE - NO SECONDARY ENERGY DATA 5600 1451 99 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5600 1451 100 INTERPOLABLE - SUMMATION CROSS SECTIONS 5600 1451 101 (E.G., TOTAL) ARE NOT INCLUDED 5600 1451 102 - FORM FACTORS ARE LOG X VS. LOG Y 5600 1451 103 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5600 1451 104 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5600 1451 105 ORDER TO ALLOW CROSS SECTIONS DEFINED 5600 1451 106 BY SUMMATION (E.G., TOTAL) TO BE 5600 1451 107 CONSISTENTLY DEFINED AT ALL ENERGIES. 5600 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 5600 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5600 1451 110 =================================================================5600 1451 111 REFERENCES 5600 1451 112 =================================================================5600 1451 113 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5600 1451 114 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5600 1451 115 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5600 1451 116 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5600 1451 117 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5600 1451 118 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5600 1451 119 5600 1451 120 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5600 1451 121 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5600 1451 122 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5600 1451 123 OF THE DATA, ETC. 5600 1451 124 =================================================================5600 1451 125 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5600 1451 126 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5600 1451 127 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5600 1451 128 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5600 1451 129 *RECONSTRUCTED MT NUMBERS 5600 1451 130 516 =+(515,515)+(517,517) 5600 1451 131 522 =+(534,572) 5600 1451 132 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5600 1451 133 1 451 163 15600 1451 134 23 501 450 15600 1451 135 23 502 90 15600 1451 136 23 504 24 15600 1451 137 23 515 17 15600 1451 138 23 516 37 15600 1451 139 23 517 23 15600 1451 140 23 522 325 15600 1451 141 23 534 29 15600 1451 142 23 535 35 15600 1451 143 23 536 40 15600 1451 144 23 537 41 15600 1451 145 23 538 39 15600 1451 146 23 539 44 15600 1451 147 23 540 45 15600 1451 148 23 541 55 15600 1451 149 23 542 56 15600 1451 150 23 543 43 15600 1451 151 23 544 47 15600 1451 152 23 545 48 15600 1451 153 23 546 62 15600 1451 154 23 547 65 15600 1451 155 23 550 48 15600 1451 156 23 551 58 15600 1451 157 23 552 59 15600 1451 158 23 559 51 15600 1451 159 27 502 50 15600 1451 160 27 504 43 15600 1451 161 27 505 72 15600 1451 162 27 506 116 15600 1451 163 5600 1 0 164 5600 0 0 165 5.600000+4 1.361600+2 0 0 0 0560023501 166 0.000000+0 0.000000+0 0 0 1 1341560023501 167 1341 2 0 0 0 0560023501 168 1.000000+1 3.415170+4 1.054730+1 3.287390+4 1.097730+1 3.186990+4560023501 169 1.154780+1 3.053800+4 1.165550+1 3.028650+4 1.237550+1 2.860560+4560023501 170 1.308680+1 2.829860+4 1.345720+1 2.813870+4 1.383900+1 2.843260+4560023501 171 1.407860+1 2.861710+4 1.440780+1 2.887060+4 1.500000+1 2.932660+4560023501 172 1.539650+1 3.032700+4 1.611570+1 3.214180+4 1.688590+1 3.408560+4560023501 173 1.689260+1 3.410260+4 1.744360+1 3.549340+4 1.812870+1 3.722300+4560023501 174 1.848120+1 3.811300+4 1.904360+1 3.953440+4 1.943680+1 4.052870+4560023501 175 1.988080+1 4.165200+4 1.991940+1 4.174970+4 2.000000+1 4.195370+4560023501 176 2.016520+1 4.218270+4 2.052620+1 4.268630+4 2.077600+1 4.303590+4560023501 177 2.107980+1 4.346270+4 2.123340+1 4.367920+4 2.139410+1 4.391020+4560023501 178 2.150210+1 4.406850+4 2.160060+1 4.421710+4 2.169970+1 4.437270+4560023501 179 2.184150+1 4.460500+4 2.190980+1 4.471780+4 2.200000+1 4.485740+4560023501 180 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3.314090+1 5.686280+6560023501 193 3.465240+1 4.845070+6 3.489130+1 4.725530+6 3.503100+1 4.655580+6560023501 194 3.673050+1 3.933640+6 3.699640+1 3.834540+6 3.706180+1 3.810170+6560023501 195 3.746230+1 3.676260+6 3.791180+1 3.525980+6 3.839000+1 3.366100+6560023501 196 3.839000+1 3.433140+6 3.847530+1 3.405050+6 3.887900+1 3.283980+6560023501 197 4.000000+1 2.986540+6 4.024120+1 2.932990+6 4.107990+1 2.746780+6560023501 198 4.318900+1 2.340080+6 4.395060+1 2.214490+6 4.465200+1 2.112050+6560023501 199 4.472140+1 2.101910+6 4.485060+1 2.082910+6 4.550780+1 1.986270+6560023501 200 4.602210+1 1.920430+6 4.845540+1 1.640660+6 4.863720+1 1.622040+6560023501 201 5.000000+1 1.498720+6 5.115260+1 1.413120+6 5.412340+1 1.219910+6560023501 202 5.415170+1 1.218070+6 5.732660+1 1.062940+6 5.798350+1 1.030140+6560023501 203 5.916080+1 9.825650+5 6.000000+1 9.488230+5 6.248010+1 8.811270+5560023501 204 6.310140+1 8.634240+5 6.480740+1 8.148140+5 6.492560+1 8.122540+5560023501 205 7.000000+1 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5.854120+4 4.263240-1 5.965750+4 4.644420-1 6.050110+4 4.774330-1560027506 2296 6.395620+4 5.728530-1 6.526700+4 5.968370-1 6.636860+4 5.978440-1560027506 2297 7.040420+4 6.406250-1 7.181260+4 6.350070-1 7.607800+4 6.591670-1560027506 2298 8.511250+4 6.483250-1 1.455700+5 4.069220-1 1.710520+5 3.299240-1560027506 2299 1.962380+5 2.692780-1 2.242480+5 2.181410-1 2.409200+5 1.947910-1560027506 2300 2.806020+5 1.507660-1 3.024100+5 1.320930-1 3.276470+5 1.135710-1560027506 2301 3.542840+5 9.717250-2 3.796950+5 8.393680-2 4.249200+5 6.643730-2560027506 2302 4.502800+5 5.817380-2 5.028950+5 4.412360-2 5.477230+5 3.523440-2560027506 2303 6.002490+5 2.692450-2 6.576100+5 2.046870-2 7.085680+5 1.533760-2560027506 2304 7.890630+5 9.388830-3 8.238340+5 7.330430-3 9.176440+5 2.925040-3560027506 2305 9.771340+5 7.952170-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0560027506 2306 560027 0 2307 5600 0 0 2308 0 0 0 2309 5.700000+4 1.377120+2 -1 0 0 15700 1451 1 0.000000+0 0.000000+0 0 0 0 65700 1451 2 0.000000+0 0.000000+0 0 0 3 65700 1451 3 0.000000+0 0.000000+0 0 0 131 325700 1451 4 57-LA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5700 1451 6 ----ENDF/B-VI MATERIAL 5700 5700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5700 1451 8 ------ENDF-6 FORMAT 5700 1451 9 =================================================================5700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5700 1451 11 ENDF/B-VI FORMAT 5700 1451 12 =================================================================5700 1451 13 CONTENTS 5700 1451 14 =================================================================5700 1451 15 MF/MT DESCRIPTION 5700 1451 16 =================================================================5700 1451 17 23/501 TOTAL CROSS SECTION 5700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 38 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 39 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 40 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 41 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 42 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5700 1451 44 =================================================================5700 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 5700 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 5700 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5700 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 5700 1451 49 =================================================================5700 1451 50 WARNING 5700 1451 51 =================================================================5700 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5700 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5700 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5700 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5700 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5700 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5700 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5700 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5700 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5700 1451 61 =================================================================5700 1451 62 DEFINITION OF NEW TYPES OF DATA 5700 1451 63 =================================================================5700 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5700 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5700 1451 66 5700 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5700 1451 68 C2 FIELDS ARE, 5700 1451 69 5700 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5700 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5700 1451 72 5700 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5700 1451 74 5700 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5700 1451 76 5700 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5700 1451 78 T = THE THOMSON CROSS SECTION 5700 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 5700 1451 80 FF(M) = THE ATOMIC FORM FACTOR 5700 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5700 1451 82 F1(E) = THE REAL SCATTERING FACTOR 5700 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 5700 1451 84 5700 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 5700 1451 86 5700 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5700 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5700 1451 89 =================================================================5700 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5700 1451 91 =================================================================5700 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5700 1451 93 HERE - 10 EV TO 100 MEV 5700 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5700 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 5700 1451 96 HERE - PHOTON INTERACTION 5700 1451 97 - AVERAGE FLUORESCENCE YIELD 5700 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5700 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5700 1451 100 HERE - NO SECONDARY ENERGY DATA 5700 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5700 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 5700 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 5700 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 5700 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5700 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5700 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 5700 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 5700 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 5700 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 5700 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5700 1451 112 =================================================================5700 1451 113 REFERENCES 5700 1451 114 =================================================================5700 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5700 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5700 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5700 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5700 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5700 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5700 1451 121 5700 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5700 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5700 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5700 1451 125 OF THE DATA, ETC. 5700 1451 126 =================================================================5700 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5700 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5700 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5700 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5700 1451 131 *RECONSTRUCTED MT NUMBERS 5700 1451 132 516 =+(515,515)+(517,517) 5700 1451 133 522 =+(534,572) 5700 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5700 1451 135 1 451 167 15700 1451 136 23 501 471 15700 1451 137 23 502 87 15700 1451 138 23 504 24 15700 1451 139 23 515 17 15700 1451 140 23 516 37 15700 1451 141 23 517 23 15700 1451 142 23 522 351 15700 1451 143 23 534 29 15700 1451 144 23 535 35 15700 1451 145 23 536 40 15700 1451 146 23 537 41 15700 1451 147 23 538 39 15700 1451 148 23 539 43 15700 1451 149 23 540 45 15700 1451 150 23 541 56 15700 1451 151 23 542 56 15700 1451 152 23 543 43 15700 1451 153 23 544 47 15700 1451 154 23 545 48 15700 1451 155 23 546 59 15700 1451 156 23 547 64 15700 1451 157 23 550 48 15700 1451 158 23 551 56 15700 1451 159 23 552 58 15700 1451 160 23 553 68 15700 1451 161 23 554 67 15700 1451 162 23 559 52 15700 1451 163 27 502 52 15700 1451 164 27 504 43 15700 1451 165 27 505 69 15700 1451 166 27 506 112 15700 1451 167 5700 1 0 168 5700 0 0 169 5.700000+4 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5.603490+5 3.067670-4570023551 1936 6.000000+5 2.559900-4 6.623670+5 2.002690-4 7.085680+5 1.694050-4570023551 1937 7.682820+5 1.385810-4 8.226280+5 1.175580-4 8.820400+5 1.001510-4570023551 1938 9.590240+5 8.263090-5 1.022000+6 7.178710-5 1.130270+6 5.895920-5570023551 1939 1.250000+6 4.842360-5 1.369310+6 4.095110-5 1.500000+6 3.463180-5570023551 1940 1.701190+6 2.785410-5 1.894980+6 2.311080-5 2.044000+6 2.030550-5570023551 1941 2.332190+6 1.651810-5 2.693110+6 1.318730-5 3.000000+6 1.113790-5570023551 1942 3.464100+6 9.053360-6 4.000000+6 7.358950-6 4.472140+6 6.324410-6570023551 1943 5.000000+6 5.435310-6 5.732660+6 4.546850-6 6.480740+6 3.885960-6570023551 1944 7.483310+6 3.245460-6 8.485280+6 2.782670-6 1.000000+7 2.284760-6570023551 1945 1.148910+7 1.941670-6 1.349070+7 1.613620-6 1.600000+7 1.330700-6570023551 1946 1.897370+7 1.100740-6 2.200000+7 9.354070-7 2.600000+7 7.806460-7570023551 1947 3.000000+7 6.693910-7 3.464100+7 5.748630-7 4.229490+7 4.656910-7570023551 1948 5.000000+7 3.908820-7 6.000000+7 3.234460-7 6.928200+7 2.788900-7570023551 1949 8.458970+7 2.271250-7 1.000000+8 1.913700-7 0.000000+0 0.000000+0570023551 1950 570023 0 1951 5.700000+4 1.377120+2 0 0 0 0570023552 1952 2.559000+1 0.000000+0 0 0 1 163570023552 1953 163 2 0 0 0 0570023552 1954 2.559000+1 0.000000+0 2.559000+1 9.197990+6 2.719470+1 7.672080+6570023552 1955 2.969110+1 5.822790+6 3.198010+1 4.491350+6 3.393880+1 3.648590+6570023552 1956 3.567010+1 3.066110+6 3.770220+1 2.526200+6 4.000810+1 2.052760+6570023552 1957 4.296220+1 1.600230+6 4.452000+1 1.412880+6 4.718050+1 1.168920+6570023552 1958 5.000000+1 9.670870+5 5.415170+1 7.678820+5 5.798350+1 6.301350+5570023552 1959 6.000000+1 5.708250+5 6.480740+1 4.756970+5 7.000000+1 3.964220+5570023552 1960 7.737350+1 3.288420+5 8.000000+1 3.089800+5 9.000000+1 2.585290+5570023552 1961 1.024400+2 2.210140+5 1.166000+2 1.889430+5 1.380660+2 1.584770+5570023552 1962 1.567210+2 1.388970+5 1.895350+2 1.139680+5 2.292200+2 9.351300+4570023552 1963 2.622330+2 8.017920+4 3.223710+2 6.288580+4 3.722420+2 5.262060+4570023552 1964 4.426730+2 4.191130+4 5.153680+2 3.405190+4 6.000000+2 2.766640+4570023552 1965 6.897360+2 2.235640+4 7.584970+2 1.933300+4 8.501190+2 1.623960+4570023552 1966 9.958290+2 1.251910+4 1.074340+3 1.099560+4 1.203860+3 9.050821+3570023552 1967 1.349000+3 7.450000+3 1.488560+3 6.192120+3 1.602630+3 5.390160+3570023552 1968 1.790320+3 4.377690+3 2.000000+3 3.555400+3 2.213360+3 2.890460+3570023552 1969 2.457260+3 2.334710+3 2.754080+3 1.849570+3 3.109840+3 1.435510+3570023552 1970 3.402370+3 1.179040+3 3.689100+3 9.876320+2 4.102660+3 7.795550+2570023552 1971 4.398770+3 6.619920+2 4.753750+3 5.518120+2 5.165930+3 4.540280+2570023552 1972 5.708000+3 3.592790+2 6.219690+3 2.920280+2 6.804750+3 2.330590+2570023552 1973 7.378210+3 1.902410+2 8.000000+3 1.552900+2 8.458970+3 1.341190+2570023552 1974 9.197270+3 1.076490+2 1.000000+4 8.640300+1 1.075580+4 7.060620+1570023552 1975 1.143200+4 5.962840+1 1.223530+4 4.939970+1 1.315870+4 4.037910+1570023552 1976 1.435930+4 3.170130+1 1.554920+4 2.529430+1 1.655920+4 2.105600+1570023552 1977 1.771420+4 1.729970+1 1.920700+4 1.366580+1 2.103980+4 1.040620+1570023552 1978 2.199390+4 9.089590+0 2.376880+4 7.173560+0 2.574930+4 5.619700+0570023552 1979 2.719340+4 4.758010+0 2.903370+4 3.896540+0 3.097330+4 3.183600+0570023552 1980 3.288400+4 2.628380+0 3.550980+4 2.055310+0 3.706180+4 1.792270+0570023552 1981 3.994270+4 1.410340+0 4.314830+4 1.101520+0 4.548030+4 9.306990-1570023552 1982 4.844560+4 7.603120-1 5.221370+4 5.948240-1 5.542310+4 4.875970-1570023552 1983 5.854120+4 4.063040-1 6.259340+4 3.250800-1 6.636860+4 2.674470-1570023552 1984 7.154890+4 2.081960-1 7.460660+4 1.810960-1 8.027550+4 1.418810-1570023552 1985 8.657300+4 1.103130-1 9.114779+4 9.291940-2 9.695760+4 7.562780-2570023552 1986 1.044270+5 5.902910-2 1.108460+5 4.835610-2 1.170820+5 4.026960-2570023552 1987 1.251870+5 3.219550-2 1.327370+5 2.647040-2 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5.654590+5 3.456690-2 6.164020+5 2.680140-2 6.860560+5 1.839520-2570027506 2477 7.378210+5 1.392480-2 7.879760+5 1.015410-2 8.625300+5 5.729070-3570027506 2478 8.944270+5 4.172690-3 9.808360+5 7.379830-4 1.000000+6 0.000000+0570027506 2479 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0570027506 2480 570027 0 2481 5700 0 0 2482 0 0 0 2483 5.800000+4 1.389160+2 -1 0 0 15800 1451 1 0.000000+0 0.000000+0 0 0 0 65800 1451 2 0.000000+0 0.000000+0 0 0 3 65800 1451 3 0.000000+0 0.000000+0 0 0 131 325800 1451 4 58-CE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5800 1451 6 ----ENDF/B-VI MATERIAL 5800 5800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5800 1451 8 ------ENDF-6 FORMAT 5800 1451 9 =================================================================5800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5800 1451 11 ENDF/B-VI FORMAT 5800 1451 12 =================================================================5800 1451 13 CONTENTS 5800 1451 14 =================================================================5800 1451 15 MF/MT DESCRIPTION 5800 1451 16 =================================================================5800 1451 17 23/501 TOTAL CROSS SECTION 5800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5800 1451 44 =================================================================5800 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 5800 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 5800 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5800 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 5800 1451 49 =================================================================5800 1451 50 WARNING 5800 1451 51 =================================================================5800 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5800 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5800 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5800 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5800 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5800 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5800 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5800 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5800 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5800 1451 61 =================================================================5800 1451 62 DEFINITION OF NEW TYPES OF DATA 5800 1451 63 =================================================================5800 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5800 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5800 1451 66 5800 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5800 1451 68 C2 FIELDS ARE, 5800 1451 69 5800 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5800 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5800 1451 72 5800 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5800 1451 74 5800 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5800 1451 76 5800 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5800 1451 78 T = THE THOMSON CROSS SECTION 5800 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 5800 1451 80 FF(M) = THE ATOMIC FORM FACTOR 5800 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5800 1451 82 F1(E) = THE REAL SCATTERING FACTOR 5800 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 5800 1451 84 5800 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 5800 1451 86 5800 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5800 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5800 1451 89 =================================================================5800 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5800 1451 91 =================================================================5800 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5800 1451 93 HERE - 10 EV TO 100 MEV 5800 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5800 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 5800 1451 96 HERE - PHOTON INTERACTION 5800 1451 97 - AVERAGE FLUORESCENCE YIELD 5800 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5800 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5800 1451 100 HERE - NO SECONDARY ENERGY DATA 5800 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5800 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 5800 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 5800 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 5800 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5800 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5800 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 5800 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 5800 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 5800 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 5800 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5800 1451 112 =================================================================5800 1451 113 REFERENCES 5800 1451 114 =================================================================5800 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5800 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5800 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5800 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5800 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5800 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5800 1451 121 5800 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5800 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5800 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5800 1451 125 OF THE DATA, ETC. 5800 1451 126 =================================================================5800 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5800 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5800 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5800 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5800 1451 131 *RECONSTRUCTED MT NUMBERS 5800 1451 132 516 =+(515,515)+(517,517) 5800 1451 133 522 =+(534,572) 5800 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5800 1451 135 1 451 167 15800 1451 136 23 501 532 15800 1451 137 23 502 88 15800 1451 138 23 504 24 15800 1451 139 23 515 17 15800 1451 140 23 516 36 15800 1451 141 23 517 23 15800 1451 142 23 522 411 15800 1451 143 23 534 29 15800 1451 144 23 535 35 15800 1451 145 23 536 39 15800 1451 146 23 537 41 15800 1451 147 23 538 40 15800 1451 148 23 539 44 15800 1451 149 23 540 45 15800 1451 150 23 541 54 15800 1451 151 23 542 55 15800 1451 152 23 543 44 15800 1451 153 23 544 47 15800 1451 154 23 545 48 15800 1451 155 23 546 59 15800 1451 156 23 547 64 15800 1451 157 23 548 73 15800 1451 158 23 549 73 15800 1451 159 23 550 48 15800 1451 160 23 551 57 15800 1451 161 23 552 59 15800 1451 162 23 559 53 15800 1451 163 27 502 52 15800 1451 164 27 504 45 15800 1451 165 27 505 68 15800 1451 166 27 506 114 15800 1451 167 5800 1 0 168 5800 0 0 169 5.800000+4 1.389160+2 0 0 0 0580023501 170 0.000000+0 0.000000+0 0 0 1 1587580023501 171 1587 2 0 0 0 0580023501 172 1.000000+1 3.043920+5 1.063690+1 3.356780+5 1.085020+1 3.467090+5580023501 173 1.106680+1 3.579110+5 1.154780+1 3.878800+5 1.166910+1 3.954380+5580023501 174 1.177270+1 4.021360+5 1.253610+1 4.514960+5 1.280140+1 4.686490+5580023501 175 1.288420+1 4.742870+5 1.340250+1 5.176780+5 1.396230+1 5.645430+5580023501 176 1.403180+1 5.705190+5 1.407860+1 5.745440+5 1.475190+1 6.324420+5580023501 177 1.500000+1 6.537760+5 1.544140+1 6.923260+5 1.589580+1 7.320110+5580023501 178 1.611850+1 7.518720+5 1.614170+1 7.540420+5 1.663380+1 8.000750+5580023501 179 1.688590+1 8.250480+5 1.690240+1 8.266830+5 1.731040+1 8.671000+5580023501 180 1.804840+1 9.402080+5 1.861210+1 9.960490+5 1.884230+1 1.019340+6580023501 181 1.940360+1 1.076140+6 1.988080+1 1.124430+6 2.000000+1 1.136490+6580023501 182 2.009920+1 1.146410+6 2.045630+1 1.182130+6 2.100170+1 1.236690+6580023501 183 2.138190+1 1.274720+6 2.184730+1 1.321270+6 2.208370+1 1.344920+6580023501 184 2.229100+1 1.365660+6 2.260570+1 1.397150+6 2.283950+1 1.420540+6580023501 185 2.292480+1 1.428450+6 2.304700+1 1.439790+6 2.309400+1 1.444150+6580023501 186 2.316180+1 1.450440+6 2.326800+1 1.460300+6 2.342000+1 1.474430+6580023501 187 2.349330+1 1.481240+6 2.355000+1 1.486510+6 2.359000+1 1.490200+6580023501 188 2.359000+1 1.544050+7 2.366290+1 1.530820+7 2.373930+1 1.516950+7580023501 189 2.384520+1 1.497720+7 2.407000+1 1.456900+7 2.411530+1 1.448640+7580023501 190 2.455790+1 1.367950+7 2.490470+1 1.304730+7 2.543180+1 1.230250+7580023501 191 2.587170+1 1.168100+7 2.602300+1 1.146730+7 2.613500+1 1.130910+7580023501 192 2.617530+1 1.125210+7 2.635000+1 1.106460+7 2.635000+1 1.778620+7580023501 193 2.646710+1 1.757150+7 2.656860+1 1.738530+7 2.666380+1 1.721070+7580023501 194 2.679710+1 1.696620+7 2.688000+1 1.681410+7 2.710620+1 1.639660+7580023501 195 2.773720+1 1.523170+7 2.781760+1 1.508330+7 2.811580+1 1.461350+7580023501 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9.725191+3 3.109840+3 7.741380+3580023547 1919 3.311840+3 6.414020+3 3.542840+3 5.243340+3 3.841410+3 4.117000+3580023547 1920 4.185900+3 3.155710+3 4.509800+3 2.487640+3 4.792830+3 2.048420+3580023547 1921 5.115810+3 1.663500+3 5.425060+3 1.379330+3 5.872790+3 1.066340+3580023547 1922 6.215210+3 8.795190+2 6.620100+3 7.097260+2 7.083221+3 5.640040+2580023547 1923 7.527670+3 4.586220+2 8.000000+3 3.729300+2 8.458970+3 3.059790+2580023547 1924 8.820401+3 2.637790+2 9.391701+3 2.111370+2 1.000000+4 1.690000+2580023547 1925 1.051990+4 1.401160+2 1.121240+4 1.106890+2 1.182690+4 9.086840+1580023547 1926 1.255090+4 7.294310+1 1.312290+4 6.186040+1 1.403010+4 4.831210+1580023547 1927 1.500000+4 3.773100+1 1.554920+4 3.285050+1 1.655920+4 2.577920+1580023547 1928 1.766950+4 2.007730+1 1.846890+4 1.693110+1 1.947600+4 1.379940+1580023547 1929 2.051330+4 1.126220+1 2.151150+4 9.320800+0 2.286410+4 7.311410+0580023547 1930 2.365370+4 6.386800+0 2.510180+4 5.041120+0 2.668810+4 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8.687850+5 3.464100+1 9.241110+5580023548 1971 4.259000+1 1.035030+6 5.000000+1 1.077980+6 6.000000+1 1.059080+6580023548 1972 1.079460+2 7.025340+5 1.311620+2 5.562060+5 1.670870+2 3.919070+5580023548 1973 1.969040+2 2.948310+5 2.203820+2 2.372030+5 2.483170+2 1.845760+5580023548 1974 2.729380+2 1.491420+5 3.000000+2 1.205100+5 3.223710+2 1.001570+5580023548 1975 3.402370+2 8.718120+4 3.689100+2 7.080060+4 4.000000+2 5.749780+4580023548 1976 4.229490+2 4.911500+4 4.598630+2 3.877560+4 5.000000+2 3.061280+4580023548 1977 5.415170+2 2.410030+4 5.798350+2 1.963290+4 6.219690+2 1.580880+4580023548 1978 6.623670+2 1.294670+4 7.085680+2 1.045260+4 7.528970+2 8.621531+3580023548 1979 8.000000+2 7.111210+3 8.637790+2 5.501520+3 9.101570+2 4.618350+3580023548 1980 9.691079+2 3.743620+3 1.044810+3 2.889020+3 1.085660+3 2.524490+3580023548 1981 1.161020+3 1.993730+3 1.244230+3 1.562990+3 1.304360+3 1.323970+3580023548 1982 1.380360+3 1.084900+3 1.482110+3 8.378180+2 1.538680+3 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5.278580+5 4.409330-2 5.694870+5 3.562670-2 6.050580+5 2.984250-2580027506 2614 6.388780+5 2.529410-2 6.833710+5 1.999930-2 7.451780+5 1.404200-2580027506 2615 8.226280+5 8.375960-3 8.796130+5 5.118480-3 9.541860+5 1.831900-3580027506 2616 9.796530+5 7.392620-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0580027506 2617 580027 0 2618 5800 0 0 2619 0 0 0 2620 5.900000+4 1.396970+2 -1 0 0 15900 1451 1 0.000000+0 0.000000+0 0 0 0 65900 1451 2 0.000000+0 0.000000+0 0 0 3 65900 1451 3 0.000000+0 0.000000+0 0 0 131 325900 1451 4 59-PR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 5900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 5900 1451 6 ----ENDF/B-VI MATERIAL 5900 5900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 5900 1451 8 ------ENDF-6 FORMAT 5900 1451 9 =================================================================5900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 5900 1451 11 ENDF/B-VI FORMAT 5900 1451 12 =================================================================5900 1451 13 CONTENTS 5900 1451 14 =================================================================5900 1451 15 MF/MT DESCRIPTION 5900 1451 16 =================================================================5900 1451 17 23/501 TOTAL CROSS SECTION 5900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 5900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 5900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 5900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 5900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 5900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 5900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 5900 1451 44 =================================================================5900 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 5900 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 5900 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 5900 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 5900 1451 49 =================================================================5900 1451 50 WARNING 5900 1451 51 =================================================================5900 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 5900 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 5900 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 5900 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 5900 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 5900 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 5900 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 5900 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 5900 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 5900 1451 61 =================================================================5900 1451 62 DEFINITION OF NEW TYPES OF DATA 5900 1451 63 =================================================================5900 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 5900 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 5900 1451 66 5900 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 5900 1451 68 C2 FIELDS ARE, 5900 1451 69 5900 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 5900 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 5900 1451 72 5900 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 5900 1451 74 5900 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5900 1451 76 5900 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 5900 1451 78 T = THE THOMSON CROSS SECTION 5900 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 5900 1451 80 FF(M) = THE ATOMIC FORM FACTOR 5900 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 5900 1451 82 F1(E) = THE REAL SCATTERING FACTOR 5900 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 5900 1451 84 5900 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 5900 1451 86 5900 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 5900 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 5900 1451 89 =================================================================5900 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 5900 1451 91 =================================================================5900 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 5900 1451 93 HERE - 10 EV TO 100 MEV 5900 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION5900 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 5900 1451 96 HERE - PHOTON INTERACTION 5900 1451 97 - AVERAGE FLUORESCENCE YIELD 5900 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 5900 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)5900 1451 100 HERE - NO SECONDARY ENERGY DATA 5900 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 5900 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 5900 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 5900 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 5900 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5900 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 5900 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 5900 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 5900 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 5900 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 5900 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 5900 1451 112 =================================================================5900 1451 113 REFERENCES 5900 1451 114 =================================================================5900 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 5900 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 5900 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 5900 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),5900 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 5900 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 5900 1451 121 5900 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 5900 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 5900 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 5900 1451 125 OF THE DATA, ETC. 5900 1451 126 =================================================================5900 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************5900 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 5900 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 5900 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************5900 1451 131 *RECONSTRUCTED MT NUMBERS 5900 1451 132 516 =+(515,515)+(517,517) 5900 1451 133 522 =+(534,572) 5900 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 5900 1451 135 1 451 167 15900 1451 136 23 501 538 15900 1451 137 23 502 87 15900 1451 138 23 504 24 15900 1451 139 23 515 17 15900 1451 140 23 516 37 15900 1451 141 23 517 23 15900 1451 142 23 522 420 15900 1451 143 23 534 29 15900 1451 144 23 535 35 15900 1451 145 23 536 39 15900 1451 146 23 537 41 15900 1451 147 23 538 40 15900 1451 148 23 539 43 15900 1451 149 23 540 45 15900 1451 150 23 541 55 15900 1451 151 23 542 55 15900 1451 152 23 543 44 15900 1451 153 23 544 46 15900 1451 154 23 545 47 15900 1451 155 23 546 60 15900 1451 156 23 547 63 15900 1451 157 23 548 73 15900 1451 158 23 549 72 15900 1451 159 23 550 48 15900 1451 160 23 551 57 15900 1451 161 23 552 58 15900 1451 162 23 559 52 15900 1451 163 27 502 50 15900 1451 164 27 504 44 15900 1451 165 27 505 69 15900 1451 166 27 506 112 15900 1451 167 5900 1 0 168 5900 0 0 169 5.900000+4 1.396970+2 0 0 0 0590023501 170 0.000000+0 0.000000+0 0 0 1 1604590023501 171 1604 2 0 0 0 0590023501 172 1.000000+1 3.471030+5 1.075720+1 3.844530+5 1.118320+1 4.069140+5590023501 173 1.154780+1 4.261380+5 1.160800+1 4.293120+5 1.189210+1 4.452320+5590023501 174 1.239050+1 4.802980+5 1.241490+1 4.820590+5 1.280140+1 5.099470+5590023501 175 1.293560+1 5.200280+5 1.368370+1 5.762260+5 1.385160+1 5.888380+5590023501 176 1.407860+1 6.066440+5 1.412920+1 6.106130+5 1.421890+1 6.176490+5590023501 177 1.470430+1 6.639120+5 1.503240+1 6.958140+5 1.571080+1 7.617760+5590023501 178 1.595210+1 7.852380+5 1.606140+1 7.960300+5 1.678100+1 8.717740+5590023501 179 1.688590+1 8.828830+5 1.702840+1 8.979750+5 1.727950+1 9.245670+5590023501 180 1.815970+1 1.027240+6 1.859010+1 1.077440+6 1.908470+1 1.137500+6590023501 181 1.966540+1 1.208020+6 1.988080+1 1.234170+6 2.000000+1 1.248650+6590023501 182 2.011250+1 1.262190+6 2.080230+1 1.345210+6 2.151570+1 1.431070+6590023501 183 2.184090+1 1.470220+6 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8.288780+0 2.286410+4 6.533790+0590023546 1879 2.436700+4 5.096700+0 2.566740+4 4.160940+0 2.713780+4 3.348110+0590023546 1880 2.853300+4 2.753260+0 3.000000+4 2.264100+0 3.197090+4 1.752540+0590023546 1881 3.389300+4 1.385520+0 3.571740+4 1.121930+0 3.747760+4 9.244260-1590023546 1882 3.974840+4 7.295290-1 4.184780+4 5.930160-1 4.470550+4 4.545660-1590023546 1883 4.713280+4 3.674280-1 4.926540+4 3.074800-1 5.175400+4 2.521570-1590023546 1884 5.456010+4 2.038790-1 5.721540+4 1.683850-1 6.096550+4 1.303540-1590023546 1885 6.382870+4 1.082220-1 6.751320+4 8.619830-2 7.091130+4 7.063730-2590023546 1886 7.552379+4 5.471060-2 7.822100+4 4.745530-2 8.317500+4 3.699640-2590023546 1887 8.861250+4 2.861900-2 9.252240+4 2.402310-2 9.744260+4 1.947140-2590023546 1888 1.025670+5 1.584700-2 1.075580+5 1.311470-2 1.143200+5 1.028680-2590023546 1889 1.182690+5 8.985630-3 1.255090+5 7.091990-3 1.334400+5 5.556170-3590023546 1890 1.391330+5 4.704440-3 1.462870+5 3.852900-3 1.527210+5 3.252090-3590023546 1891 1.604630+5 2.684950-3 1.695460+5 2.168960-3 1.798500+5 1.725630-3590023546 1892 1.896570+5 1.404660-3 2.000000+5 1.143400-3 2.103980+5 9.469530-4590023546 1893 2.242480+5 7.470540-4 2.365370+5 6.125830-4 2.510180+5 4.911160-4590023546 1894 2.624580+5 4.161000-4 2.806020+5 3.245030-4 3.000000+5 2.530700-4590023546 1895 3.209250+5 1.997820-4 3.390920+5 1.647010-4 3.597000+5 1.339200-4590023546 1896 3.860880+5 1.044780-4 4.000000+5 9.228200-5 4.318900+5 7.145320-5590023546 1897 4.550780+5 6.001700-5 4.845540+5 4.868310-5 5.115260+5 4.080200-5590023546 1898 5.415170+5 3.408470-5 5.798350+5 2.746710-5 6.000000+5 2.465700-5590023546 1899 6.447420+5 1.993490-5 6.804750+5 1.699690-5 7.378210+5 1.338140-5590023546 1900 8.000000+5 1.053500-5 8.458970+5 9.059070-6 9.197270+5 7.223650-6590023546 1901 1.000000+6 5.760100-6 1.074770+6 4.993490-6 1.188630+6 4.100440-6590023546 1902 1.308290+6 3.416710-6 1.433160+6 2.888950-6 1.554920+6 2.496050-6590023546 1903 1.701190+6 2.136120-6 1.894980+6 1.772030-6 2.044000+6 1.556820-6590023546 1904 2.332190+6 1.265810-6 2.551640+6 1.099240-6 2.842410+6 9.280290-7590023546 1905 3.000000+6 8.527000-7 3.464100+6 6.930540-7 4.000000+6 5.632970-7590023546 1906 4.472140+6 4.838060-7 5.000000+6 4.155330-7 5.732660+6 3.475090-7590023546 1907 6.480740+6 2.969010-7 7.483310+6 2.478810-7 8.485280+6 2.124690-7590023546 1908 1.000000+7 1.743770-7 1.148910+7 1.481440-7 1.349070+7 1.230800-7590023546 1909 1.600000+7 1.014340-7 1.897370+7 8.392430-8 2.200000+7 7.131010-8590023546 1910 2.600000+7 5.951350-8 3.000000+7 5.102320-8 3.464100+7 4.380640-8590023546 1911 4.229490+7 3.547610-8 5.000000+7 2.977310-8 6.000000+7 2.463810-8590023546 1912 6.928200+7 2.124270-8 8.458970+7 1.729780-8 1.000000+8 1.457220-8590023546 1913 590023 0 1914 5.900000+4 1.396970+2 0 0 0 0590023547 1915 1.185900+2 0.000000+0 0 0 1 180590023547 1916 180 2 0 0 0 0590023547 1917 1.185900+2 0.000000+0 1.185900+2 7.986340+5 1.202980+2 9.871120+5590023547 1918 1.220300+2 1.220070+6 1.247200+2 1.531230+6 1.268070+2 1.700070+6590023547 1919 1.287520+2 1.784120+6 1.313910+2 1.780670+6 1.337160+2 1.696750+6590023547 1920 1.384800+2 1.365210+6 1.414650+2 1.167270+6 1.467070+2 8.422890+5590023547 1921 1.500000+2 6.750850+5 1.541000+2 5.309180+5 1.554920+2 4.900610+5590023547 1922 1.604630+2 3.922210+5 1.669410+2 3.179270+5 1.725630+2 2.817330+5590023547 1923 1.790480+2 2.596710+5 1.862660+2 2.514620+5 1.976430+2 2.628710+5590023547 1924 2.116410+2 3.056200+5 2.454500+2 4.201590+5 2.707460+2 4.820190+5590023547 1925 3.052300+2 5.274770+5 3.494170+2 5.395760+5 4.000000+2 5.157260+5590023547 1926 4.728710+2 4.555630+5 5.653260+2 3.701960+5 6.735370+2 2.910020+5590023547 1927 7.453910+2 2.462180+5 8.451940+2 1.976190+5 9.486830+2 1.597090+5590023547 1928 1.074910+3 1.233120+5 1.197910+3 9.764520+4 1.335000+3 7.732100+4590023547 1929 1.456930+3 6.306570+4 1.611850+3 4.924940+4 1.771420+3 3.891970+4590023547 1930 1.920700+3 3.180840+4 2.077490+3 2.594810+4 2.220390+3 2.167770+4590023547 1931 2.384420+3 1.787910+4 2.597330+3 1.418870+4 2.845900+3 1.095930+4590023547 1932 3.082260+3 8.672290+3 3.289780+3 7.163420+3 3.527650+3 5.836840+3590023547 1933 3.756410+3 4.854330+3 4.113140+3 3.700200+3 4.410200+3 2.975690+3590023547 1934 4.695850+3 2.445760+3 5.099260+3 1.884360+3 5.382500+3 1.577440+3590023547 1935 5.716491+3 1.294110+3 6.097350+3 1.046760+3 6.461790+3 8.648340+2590023547 1936 7.011991+3 6.579870+2 7.483480+3 5.245160+2 8.009590+3 4.139660+2590023547 1937 8.466580+3 3.412050+2 8.985170+3 2.773770+2 9.649590+3 2.163400+2590023547 1938 1.025670+4 1.740560+2 1.099690+4 1.347010+2 1.143200+4 1.167840+2590023547 1939 1.223530+4 9.097260+1 1.312290+4 7.031480+1 1.376470+4 5.898970+1590023547 1940 1.457640+4 4.778050+1 1.554920+4 3.746620+1 1.655920+4 2.943770+1590023547 1941 1.766950+4 2.295600+1 1.846890+4 1.937550+1 1.947600+4 1.580820+1590023547 1942 2.051330+4 1.291430+1 2.151150+4 1.069720+1 2.286410+4 8.400280+0590023547 1943 2.365370+4 7.342450+0 2.510180+4 5.801600+0 2.668810+4 4.550490+0590023547 1944 2.782670+4 3.855970+0 2.925730+4 3.161000+0 3.097330+4 2.511900+0590023547 1945 3.288400+4 1.966750+0 3.465240+4 1.587740+0 3.701230+4 1.212940+0590023547 1946 3.911050+4 9.682010-1 4.158750+4 7.533040-1 4.430630+4 5.815250-1590023547 1947 4.626120+4 4.874510-1 4.872130+4 3.944260-1 5.109490+4 3.243060-1590023547 1948 5.437800+4 2.504660-1 5.750560+4 1.986030-1 6.053340+4 1.605200-1590023547 1949 6.432710+4 1.247400-1 6.797430+4 9.922910-2 7.133490+4 8.122570-2590023547 1950 7.589210+4 6.282220-2 7.855460+4 5.444820-2 8.344090+4 4.238920-2590023547 1951 8.879840+4 3.274390-2 9.264710+4 2.745880-2 9.748640+4 2.223020-2590023547 1952 1.025670+5 1.804540-2 1.075580+5 1.487800-2 1.143200+5 1.161370-2590023547 1953 1.182690+5 1.011740-2 1.255090+5 7.947800-3 1.334400+5 6.196520-3590023547 1954 1.391330+5 5.229300-3 1.462870+5 4.265780-3 1.527210+5 3.590050-3590023547 1955 1.604630+5 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0.000000+0 0 0 131 326000 1451 4 60-ND- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6000 1451 6 ----ENDF/B-VI MATERIAL 6000 6000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6000 1451 8 ------ENDF-6 FORMAT 6000 1451 9 =================================================================6000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6000 1451 11 ENDF/B-VI FORMAT 6000 1451 12 =================================================================6000 1451 13 CONTENTS 6000 1451 14 =================================================================6000 1451 15 MF/MT DESCRIPTION 6000 1451 16 =================================================================6000 1451 17 23/501 TOTAL CROSS SECTION 6000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6000 1451 44 =================================================================6000 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6000 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6000 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6000 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6000 1451 49 =================================================================6000 1451 50 WARNING 6000 1451 51 =================================================================6000 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6000 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6000 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6000 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6000 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6000 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6000 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6000 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6000 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6000 1451 61 =================================================================6000 1451 62 DEFINITION OF NEW TYPES OF DATA 6000 1451 63 =================================================================6000 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6000 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6000 1451 66 6000 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6000 1451 68 C2 FIELDS ARE, 6000 1451 69 6000 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6000 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6000 1451 72 6000 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6000 1451 74 6000 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6000 1451 76 6000 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6000 1451 78 T = THE THOMSON CROSS SECTION 6000 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6000 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6000 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6000 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6000 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6000 1451 84 6000 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6000 1451 86 6000 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6000 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6000 1451 89 =================================================================6000 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6000 1451 91 =================================================================6000 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6000 1451 93 HERE - 10 EV TO 100 MEV 6000 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6000 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6000 1451 96 HERE - PHOTON INTERACTION 6000 1451 97 - AVERAGE FLUORESCENCE YIELD 6000 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6000 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6000 1451 100 HERE - NO SECONDARY ENERGY DATA 6000 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6000 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6000 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6000 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6000 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6000 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6000 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6000 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6000 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6000 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6000 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6000 1451 112 =================================================================6000 1451 113 REFERENCES 6000 1451 114 =================================================================6000 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6000 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6000 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6000 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6000 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6000 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6000 1451 121 6000 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6000 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6000 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6000 1451 125 OF THE DATA, ETC. 6000 1451 126 =================================================================6000 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6000 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6000 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6000 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6000 1451 131 *RECONSTRUCTED MT NUMBERS 6000 1451 132 516 =+(515,515)+(517,517) 6000 1451 133 522 =+(534,572) 6000 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6000 1451 135 1 451 167 16000 1451 136 23 501 518 16000 1451 137 23 502 87 16000 1451 138 23 504 24 16000 1451 139 23 515 17 16000 1451 140 23 516 37 16000 1451 141 23 517 23 16000 1451 142 23 522 405 16000 1451 143 23 534 29 16000 1451 144 23 535 35 16000 1451 145 23 536 39 16000 1451 146 23 537 40 16000 1451 147 23 538 39 16000 1451 148 23 539 43 16000 1451 149 23 540 44 16000 1451 150 23 541 54 16000 1451 151 23 542 55 16000 1451 152 23 543 43 16000 1451 153 23 544 46 16000 1451 154 23 545 47 16000 1451 155 23 546 60 16000 1451 156 23 547 62 16000 1451 157 23 548 72 16000 1451 158 23 549 72 16000 1451 159 23 550 47 16000 1451 160 23 551 57 16000 1451 161 23 552 58 16000 1451 162 23 559 53 16000 1451 163 27 502 49 16000 1451 164 27 504 43 16000 1451 165 27 505 69 16000 1451 166 27 506 112 16000 1451 167 6000 1 0 168 6000 0 0 169 6.000000+4 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2.069580+3600023547 1894 5.436150+3 1.692750+3 5.820420+3 1.353270+3 6.245160+3 1.074330+3600023547 1895 6.743940+3 8.351800+2 7.295750+3 6.427590+2 7.729900+3 5.258210+2600023547 1896 8.243861+3 4.204540+2 8.809691+3 3.338590+2 9.471350+3 2.595990+2600023547 1897 1.025670+4 1.959270+2 1.099690+4 1.518340+2 1.143200+4 1.317390+2600023547 1898 1.223530+4 1.027590+2 1.312290+4 7.953400+1 1.376470+4 6.678660+1600023547 1899 1.457640+4 5.415680+1 1.554920+4 4.251950+1 1.655920+4 3.344890+1600023547 1900 1.766950+4 2.611670+1 1.846890+4 2.206210+1 1.947600+4 1.801870+1600023547 1901 2.051330+4 1.473430+1 2.151150+4 1.221510+1 2.286410+4 9.602660+0600023547 1902 2.436700+4 7.469370+0 2.566740+4 6.083860+0 2.713780+4 4.883260+0600023547 1903 2.853300+4 4.006710+0 3.048270+4 3.080610+0 3.191430+4 2.555520+0600023547 1904 3.375660+4 2.033470+0 3.545560+4 1.664950+0 3.776190+4 1.288130+0600023547 1905 3.911050+4 1.116630+0 4.158750+4 8.695980-1 4.430630+4 6.719450-1600023547 1906 4.626120+4 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5.260650-2 5.524000+5 4.319040-2600027506 2576 6.155920+5 3.098110-2 6.804750+5 2.218220-2 7.787120+5 1.267260-2600027506 2577 8.238340+5 9.026020-3 9.197270+5 3.476340-3 9.808160+5 8.211270-4600027506 2578 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0600027506 2579 600027 0 2580 6000 0 0 2581 0 0 0 2582 6.100000+4 1.436680+2 -1 0 0 16100 1451 1 0.000000+0 0.000000+0 0 0 0 66100 1451 2 0.000000+0 0.000000+0 0 0 3 66100 1451 3 0.000000+0 0.000000+0 0 0 131 326100 1451 4 61-PM- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6100 1451 6 ----ENDF/B-VI MATERIAL 6100 6100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6100 1451 8 ------ENDF-6 FORMAT 6100 1451 9 =================================================================6100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6100 1451 11 ENDF/B-VI FORMAT 6100 1451 12 =================================================================6100 1451 13 CONTENTS 6100 1451 14 =================================================================6100 1451 15 MF/MT DESCRIPTION 6100 1451 16 =================================================================6100 1451 17 23/501 TOTAL CROSS SECTION 6100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6100 1451 44 =================================================================6100 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6100 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6100 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6100 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6100 1451 49 =================================================================6100 1451 50 WARNING 6100 1451 51 =================================================================6100 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6100 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6100 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6100 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6100 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6100 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6100 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6100 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6100 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6100 1451 61 =================================================================6100 1451 62 DEFINITION OF NEW TYPES OF DATA 6100 1451 63 =================================================================6100 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6100 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6100 1451 66 6100 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6100 1451 68 C2 FIELDS ARE, 6100 1451 69 6100 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6100 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6100 1451 72 6100 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6100 1451 74 6100 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6100 1451 76 6100 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6100 1451 78 T = THE THOMSON CROSS SECTION 6100 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6100 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6100 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6100 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6100 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6100 1451 84 6100 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6100 1451 86 6100 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6100 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6100 1451 89 =================================================================6100 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6100 1451 91 =================================================================6100 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6100 1451 93 HERE - 10 EV TO 100 MEV 6100 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6100 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6100 1451 96 HERE - PHOTON INTERACTION 6100 1451 97 - AVERAGE FLUORESCENCE YIELD 6100 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6100 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6100 1451 100 HERE - NO SECONDARY ENERGY DATA 6100 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6100 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6100 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6100 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6100 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6100 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6100 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6100 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6100 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6100 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6100 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6100 1451 112 =================================================================6100 1451 113 REFERENCES 6100 1451 114 =================================================================6100 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6100 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6100 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6100 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6100 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6100 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6100 1451 121 6100 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6100 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6100 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6100 1451 125 OF THE DATA, ETC. 6100 1451 126 =================================================================6100 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6100 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6100 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6100 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6100 1451 131 *RECONSTRUCTED MT NUMBERS 6100 1451 132 516 =+(515,515)+(517,517) 6100 1451 133 522 =+(534,572) 6100 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6100 1451 135 1 451 167 16100 1451 136 23 501 527 16100 1451 137 23 502 87 16100 1451 138 23 504 23 16100 1451 139 23 515 17 16100 1451 140 23 516 37 16100 1451 141 23 517 23 16100 1451 142 23 522 413 16100 1451 143 23 534 29 16100 1451 144 23 535 35 16100 1451 145 23 536 39 16100 1451 146 23 537 41 16100 1451 147 23 538 39 16100 1451 148 23 539 44 16100 1451 149 23 540 45 16100 1451 150 23 541 54 16100 1451 151 23 542 56 16100 1451 152 23 543 43 16100 1451 153 23 544 46 16100 1451 154 23 545 47 16100 1451 155 23 546 61 16100 1451 156 23 547 62 16100 1451 157 23 548 73 16100 1451 158 23 549 72 16100 1451 159 23 550 48 16100 1451 160 23 551 57 16100 1451 161 23 552 58 16100 1451 162 23 559 54 16100 1451 163 27 502 53 16100 1451 164 27 504 48 16100 1451 165 27 505 68 16100 1451 166 27 506 110 16100 1451 167 6100 1 0 168 6100 0 0 169 6.100000+4 1.436680+2 0 0 0 0610023501 170 0.000000+0 0.000000+0 0 0 1 1572610023501 171 1572 2 0 0 0 0610023501 172 1.000000+1 5.203100+5 1.035460+1 5.205280+5 1.091020+1 5.259410+5610023501 173 1.097560+1 5.271280+5 1.149560+1 5.365650+5 1.154780+1 5.379540+5610023501 174 1.205500+1 5.514480+5 1.224740+1 5.572110+5 1.264160+1 5.719360+5610023501 175 1.337150+1 6.112840+5 1.362400+1 6.248960+5 1.407860+1 6.509960+5610023501 176 1.414710+1 6.549290+5 1.452650+1 6.767120+5 1.462470+1 6.825300+5610023501 177 1.469020+1 6.872140+5 1.500000+1 7.093730+5 1.535330+1 7.419190+5610023501 178 1.604630+1 8.057600+5 1.611850+1 8.125120+5 1.669000+1 8.685790+5610023501 179 1.688590+1 8.877980+5 1.732050+1 9.304350+5 1.735950+1 9.347230+5610023501 180 1.766950+1 9.690730+5 1.781430+1 9.874370+5 1.863910+1 1.092040+6610023501 181 1.952960+1 1.204990+6 1.988080+1 1.249530+6 2.000000+1 1.264650+6610023501 182 2.016110+1 1.285020+6 2.094580+1 1.384250+6 2.134960+1 1.435320+6610023501 183 2.151100+1 1.457320+6 2.188590+1 1.511270+6 2.229700+1 1.570420+6610023501 184 2.254330+1 1.605860+6 2.292820+1 1.661050+6 2.309400+1 1.684830+6610023501 185 2.357720+1 1.754120+6 2.395580+1 1.808410+6 2.437580+1 1.868650+6610023501 186 2.469560+1 1.914520+6 2.485280+1 1.937070+6 2.497550+1 1.954680+6610023501 187 2.508970+1 1.971070+6 2.520780+1 1.988030+6 2.535560+1 2.009270+6610023501 188 2.546000+1 2.024260+6 2.546000+1 1.689500+7 2.556060+1 1.670120+7610023501 189 2.564840+1 1.653220+7 2.580140+1 1.623750+7 2.593280+1 1.598440+7610023501 190 2.597000+1 1.591280+7 2.635530+1 1.517060+7 2.652610+1 1.484160+7610023501 191 2.708660+1 1.401930+7 2.733480+1 1.365510+7 2.773720+1 1.306470+7610023501 192 2.820960+1 1.237160+7 2.821680+1 1.236410+7 2.848180+1 1.208660+7610023501 193 2.860060+1 1.196230+7 2.872360+1 1.183350+7 2.896000+1 1.158600+7610023501 194 2.896000+1 1.860670+7 2.907470+1 1.839790+7 2.922910+1 1.811680+7610023501 195 2.927840+1 1.802700+7 2.941660+1 1.777540+7 2.963550+1 1.737690+7610023501 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5.125830+1 6.547850+6610023501 209 5.329680+1 6.384580+6 5.412340+1 6.334510+6 5.422360+1 6.328450+6610023501 210 5.555800+1 6.265760+6 5.622610+1 6.222030+6 5.732660+1 6.150340+6610023501 211 5.800920+1 6.116170+6 5.812650+1 6.111540+6 6.000000+1 6.037650+6610023501 212 6.116730+1 5.987700+6 6.310140+1 5.918670+6 6.418600+1 5.879960+6610023501 213 6.447420+1 5.871060+6 6.480740+1 5.860800+6 6.606830+1 5.830320+6610023501 214 6.800570+1 5.754470+6 6.866410+1 5.730790+6 7.000000+1 5.681430+6610023501 215 7.437960+1 5.534950+6 7.444840+1 5.532650+6 7.483310+1 5.519810+6610023501 216 7.737350+1 5.441980+6 8.000000+1 5.367620+6 8.653960+1 5.150290+6610023501 217 8.738850+1 5.122130+6 9.000000+1 5.039640+6 9.060480+1 5.021730+6610023501 218 9.240210+1 4.968480+6 9.929660+1 4.771620+6 1.000000+2 4.751570+6610023501 219 1.074610+2 4.521660+6 1.104440+2 4.429740+6 1.141620+2 4.316440+6610023501 220 1.150590+2 4.290130+6 1.187080+2 4.183250+6 1.281960+2 3.905350+6610023501 221 1.286400+2 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1.479640+2 1.223530+4 1.155660+2610023547 1919 1.312290+4 8.956820+1 1.376470+4 7.528210+1 1.457640+4 6.111350+1610023547 1920 1.554920+4 4.804050+1 1.655920+4 3.783700+1 1.766950+4 2.957910+1610023547 1921 1.846890+4 2.500790+1 1.947600+4 2.044500+1 2.051330+4 1.673430+1610023547 1922 2.151150+4 1.388490+1 2.286410+4 1.092720+1 2.436700+4 8.509290+0610023547 1923 2.566740+4 6.937310+0 2.713780+4 5.573820+0 2.853300+4 4.577390+0610023547 1924 3.048270+4 3.523390+0 3.191430+4 2.924860+0 3.375660+4 2.329340+0610023547 1925 3.545560+4 1.908620+0 3.776190+4 1.478070+0 3.911050+4 1.281960+0610023547 1926 4.158750+4 9.992790-1 4.430630+4 7.728930-1 4.626120+4 6.487100-1610023547 1927 4.872130+4 5.257370-1 5.109490+4 4.328430-1 5.437800+4 3.348030-1610023547 1928 5.750560+4 2.658420-1 6.053340+4 2.151380-1 6.432710+4 1.674340-1610023547 1929 6.797430+4 1.333720-1 7.133490+4 1.093040-1 7.589210+4 8.466760-2610023547 1930 7.855460+4 7.344390-2 8.344090+4 5.726290-2 8.879840+4 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6.301210+4 6.623670+2 5.200830+4610023548 1971 7.085680+2 4.234170+4 7.528970+2 3.518790+4 8.000000+2 2.924280+4610023548 1972 8.597230+2 2.312050+4 9.259860+2 1.814630+4 9.740700+2 1.538340+4610023548 1973 1.035080+3 1.261750+4 1.113410+3 9.858810+3 1.193970+3 7.738350+3610023548 1974 1.264060+3 6.349710+3 1.343730+3 5.137180+3 1.419720+3 4.245200+3610023548 1975 1.527210+3 3.285050+3 1.604630+3 2.742110+3 1.695460+3 2.242400+3610023548 1976 1.798500+3 1.807590+3 1.896570+3 1.488840+3 2.051330+3 1.112300+3610023548 1977 2.151150+3 9.263410+2 2.286410+3 7.325000+2 2.436700+3 5.732640+2610023548 1978 2.566740+3 4.692650+2 2.713780+3 3.786800+2 2.853300+3 3.122050+2610023548 1979 3.054430+3 2.392750+2 3.209250+3 1.957450+2 3.390920+3 1.565220+2610023548 1980 3.533890+3 1.323540+2 3.759730+3 1.029160+2 4.000000+3 8.002500+1610023548 1981 4.229490+3 6.339960+1 4.479940+3 4.986390+1 4.659150+3 4.233240+1610023548 1982 4.883700+3 3.478060+1 5.109390+3 2.870330+1 5.422720+3 2.217710+1610023548 1983 5.605440+3 1.920990+1 5.940140+3 1.494040+1 6.306250+3 1.152890+1610023548 1984 6.568721+3 9.661270+0 6.898140+3 7.814980+0 7.223920+3 6.375590+0610023548 1985 7.667690+3 4.875800+0 8.042460+3 3.933840+0 8.370170+3 3.286910+0610023548 1986 8.750861+3 2.690860+0 9.177981+3 2.171650+0 9.580180+3 1.790590+0610023548 1987 1.000000+4 1.476400+0 1.051990+4 1.168380+0 1.099690+4 9.520610-1610023548 1988 1.162780+4 7.359060-1 1.218350+4 5.932190-1 1.283370+4 4.666270-1610023548 1989 1.354060+4 3.643070-1 1.404470+4 3.077310-1 1.467460+4 2.513130-1610023548 1990 1.554920+4 1.915120-1 1.626870+4 1.545490-1 1.689640+4 1.291580-1610023548 1991 1.762390+4 1.057600-1 1.843820+4 8.537260-2 1.920320+4 7.040710-2610023548 1992 2.000000+4 5.806500-2 2.088550+4 4.700230-2 2.175120+4 3.855330-2610023548 1993 2.259530+4 3.201710-2 2.381160+4 2.479080-2 2.498510+4 1.960460-2610023548 1994 2.608810+4 1.587890-2 2.714290+4 1.308680-2 2.849090+4 1.033060-2610023548 1995 2.972530+4 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6.254150-1610027506 2601 9.114779+4 6.440590-1 1.010720+5 6.351850-1 1.587600+5 4.354320-1610027506 2602 1.846890+5 3.610030-1 2.183820+5 2.868220-1 2.491930+5 2.340860-1610027506 2603 2.680820+5 2.077630-1 3.109840+5 1.596120-1 3.311840+5 1.415470-1610027506 2604 3.597000+5 1.211890-1 3.913800+5 1.027180-1 4.229490+5 8.713160-2610027506 2605 4.550780+5 7.352820-2 4.900430+5 6.127410-2 5.415170+5 4.803200-2610027506 2606 5.798350+5 3.975720-2 6.447420+5 2.815590-2 6.623670+5 2.538720-2610027506 2607 7.303960+5 1.749260-2 8.194080+5 1.009390-2 9.057040+5 4.513600-3610027506 2608 9.810890+5 8.906230-4 1.000000+6 0.000000+0 1.000000+8 0.000000+0610027506 2609 610027 0 2610 6100 0 0 2611 0 0 0 2612 6.200000+4 1.491080+2 -1 0 0 16200 1451 1 0.000000+0 0.000000+0 0 0 0 66200 1451 2 0.000000+0 0.000000+0 0 0 3 66200 1451 3 0.000000+0 0.000000+0 0 0 131 326200 1451 4 62-SM- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6200 1451 6 ----ENDF/B-VI MATERIAL 6200 6200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6200 1451 8 ------ENDF-6 FORMAT 6200 1451 9 =================================================================6200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6200 1451 11 ENDF/B-VI FORMAT 6200 1451 12 =================================================================6200 1451 13 CONTENTS 6200 1451 14 =================================================================6200 1451 15 MF/MT DESCRIPTION 6200 1451 16 =================================================================6200 1451 17 23/501 TOTAL CROSS SECTION 6200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6200 1451 44 =================================================================6200 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6200 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6200 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6200 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6200 1451 49 =================================================================6200 1451 50 WARNING 6200 1451 51 =================================================================6200 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6200 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6200 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6200 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6200 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6200 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6200 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6200 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6200 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6200 1451 61 =================================================================6200 1451 62 DEFINITION OF NEW TYPES OF DATA 6200 1451 63 =================================================================6200 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6200 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6200 1451 66 6200 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6200 1451 68 C2 FIELDS ARE, 6200 1451 69 6200 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6200 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6200 1451 72 6200 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6200 1451 74 6200 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6200 1451 76 6200 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6200 1451 78 T = THE THOMSON CROSS SECTION 6200 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6200 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6200 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6200 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6200 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6200 1451 84 6200 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6200 1451 86 6200 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6200 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6200 1451 89 =================================================================6200 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6200 1451 91 =================================================================6200 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6200 1451 93 HERE - 10 EV TO 100 MEV 6200 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6200 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6200 1451 96 HERE - PHOTON INTERACTION 6200 1451 97 - AVERAGE FLUORESCENCE YIELD 6200 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6200 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6200 1451 100 HERE - NO SECONDARY ENERGY DATA 6200 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6200 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6200 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6200 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6200 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6200 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6200 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6200 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6200 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6200 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6200 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6200 1451 112 =================================================================6200 1451 113 REFERENCES 6200 1451 114 =================================================================6200 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6200 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6200 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6200 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6200 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6200 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6200 1451 121 6200 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6200 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6200 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6200 1451 125 OF THE DATA, ETC. 6200 1451 126 =================================================================6200 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6200 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6200 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6200 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6200 1451 131 *RECONSTRUCTED MT NUMBERS 6200 1451 132 516 =+(515,515)+(517,517) 6200 1451 133 522 =+(534,572) 6200 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6200 1451 135 1 451 167 16200 1451 136 23 501 526 16200 1451 137 23 502 86 16200 1451 138 23 504 24 16200 1451 139 23 515 17 16200 1451 140 23 516 36 16200 1451 141 23 517 23 16200 1451 142 23 522 411 16200 1451 143 23 534 29 16200 1451 144 23 535 35 16200 1451 145 23 536 39 16200 1451 146 23 537 41 16200 1451 147 23 538 39 16200 1451 148 23 539 43 16200 1451 149 23 540 45 16200 1451 150 23 541 54 16200 1451 151 23 542 56 16200 1451 152 23 543 43 16200 1451 153 23 544 45 16200 1451 154 23 545 47 16200 1451 155 23 546 61 16200 1451 156 23 547 62 16200 1451 157 23 548 72 16200 1451 158 23 549 72 16200 1451 159 23 550 48 16200 1451 160 23 551 57 16200 1451 161 23 552 58 16200 1451 162 23 559 53 16200 1451 163 27 502 53 16200 1451 164 27 504 48 16200 1451 165 27 505 69 16200 1451 166 27 506 110 16200 1451 167 6200 1 0 168 6200 0 0 169 6.200000+4 1.491080+2 0 0 0 0620023501 170 0.000000+0 0.000000+0 0 0 1 1569620023501 171 1569 2 0 0 0 0620023501 172 1.000000+1 6.566910+5 1.036590+1 6.451730+5 1.049080+1 6.412410+5620023501 173 1.105370+1 6.311580+5 1.105950+1 6.311090+5 1.149560+1 6.273650+5620023501 174 1.205500+1 6.278270+5 1.223530+1 6.287790+5 1.224740+1 6.289450+5620023501 175 1.229830+1 6.299820+5 1.264160+1 6.369750+5 1.269480+1 6.383700+5620023501 176 1.319900+1 6.515990+5 1.337150+1 6.561240+5 1.355400+1 6.611810+5620023501 177 1.362400+1 6.636900+5 1.376470+1 6.691660+5 1.424100+1 6.940230+5620023501 178 1.452650+1 7.089220+5 1.462310+1 7.141640+5 1.473370+1 7.201650+5620023501 179 1.500000+1 7.346160+5 1.534120+1 7.578770+5 1.554920+1 7.720580+5620023501 180 1.604630+1 8.153330+5 1.669000+1 8.723300+5 1.701190+1 9.008330+5620023501 181 1.735950+1 9.359910+5 1.773290+1 9.740880+5 1.794520+1 9.957480+5620023501 182 1.799800+1 1.001930+6 1.865990+1 1.079450+6 1.901430+1 1.120960+6620023501 183 1.931570+1 1.158430+6 1.982260+1 1.221440+6 2.060800+1 1.319070+6620023501 184 2.119500+1 1.392040+6 2.142460+1 1.423720+6 2.163400+1 1.452610+6620023501 185 2.218850+1 1.529130+6 2.246840+1 1.567750+6 2.297970+1 1.643200+6620023501 186 2.334580+1 1.697230+6 2.390580+1 1.779870+6 2.432830+1 1.842220+6620023501 187 2.447930+1 1.864420+6 2.477520+1 1.907920+6 2.483650+1 1.916930+6620023501 188 2.514680+1 1.962550+6 2.530340+1 1.985580+6 2.544940+1 2.007050+6620023501 189 2.556940+1 2.024700+6 2.568100+1 2.041130+6 2.591330+1 2.075340+6620023501 190 2.602000+1 2.091040+6 2.602000+1 1.752260+7 2.611580+1 1.732820+7620023501 191 2.622500+1 1.710650+7 2.638990+1 1.677180+7 2.660380+1 1.633750+7620023501 192 2.704970+1 1.543230+7 2.706580+1 1.540720+7 2.722160+1 1.516430+7620023501 193 2.797780+1 1.398510+7 2.867130+1 1.290370+7 2.893670+1 1.260510+7620023501 194 2.915230+1 1.236250+7 2.927420+1 1.222530+7 2.942040+1 1.206080+7620023501 195 2.954690+1 1.191850+7 2.979000+1 1.164500+7 2.979000+1 1.887010+7620023501 196 2.992020+1 1.862250+7 3.000000+1 1.847080+7 3.003380+1 1.840650+7620023501 197 3.014050+1 1.820350+7 3.028990+1 1.791920+7 3.039000+1 1.772880+7620023501 198 3.088080+1 1.697610+7 3.176760+1 1.561620+7 3.214750+1 1.510820+7620023501 199 3.233690+1 1.489890+7 3.255090+1 1.466250+7 3.369740+1 1.338750+7620023501 200 3.398210+1 1.310940+7 3.442950+1 1.267220+7 3.450310+1 1.260030+7620023501 201 3.553010+1 1.177790+7 3.553610+1 1.177370+7 3.660690+1 1.100210+7620023501 202 3.685940+1 1.085160+7 3.729930+1 1.058950+7 3.734460+1 1.056610+7620023501 203 3.910100+1 9.650080+6 3.958280+1 9.446170+6 3.975900+1 9.382690+6620023501 204 4.000000+1 9.295860+6 4.141790+1 8.766390+6 4.169530+1 8.662800+6620023501 205 4.178890+1 8.632610+6 4.185110+1 8.611540+6 4.223750+1 8.504860+6620023501 206 4.383630+1 8.063450+6 4.457240+1 7.891770+6 4.624230+1 7.560010+6620023501 207 4.625960+1 7.556570+6 4.634330+1 7.542140+6 4.726530+1 7.409330+6620023501 208 4.765000+1 7.353910+6 4.774000+1 7.343880+6 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1.817480-6 2.842410+6 1.533780-6 3.000000+6 1.408990-6620023546 1880 3.464100+6 1.144570-6 4.000000+6 9.297710-7 4.472140+6 7.982260-7620023546 1881 5.000000+6 6.852930-7 5.732660+6 5.726390-7 6.480740+6 4.889810-7620023546 1882 7.483310+6 4.080130-7 8.485280+6 3.495360-7 1.000000+7 2.867740-7620023546 1883 1.148910+7 2.435130-7 1.349070+7 2.022420-7 1.600000+7 1.666450-7620023546 1884 1.897370+7 1.377710-7 2.200000+7 1.170460-7 2.600000+7 9.762860-8620023546 1885 3.000000+7 8.372800-8 3.464100+7 7.185180-8 4.000000+7 6.166020-8620023546 1886 4.728710+7 5.175440-8 5.477230+7 4.440380-8 6.447420+7 3.750010-8620023546 1887 7.444840+7 3.233010-8 8.944271+7 2.677700-8 1.000000+8 2.388520-8620023546 1888 620023 0 1889 6.200000+4 1.491080+2 0 0 0 0620023547 1890 1.365200+2 0.000000+0 0 0 1 176620023547 1891 176 2 0 0 0 0620023547 1892 1.365200+2 0.000000+0 1.365200+2 5.876390+5 1.390830+2 7.527880+5620023547 1893 1.411100+2 9.000130+5 1.446040+2 1.108620+6 1.482250+2 1.159290+6620023547 1894 1.528470+2 1.136400+6 1.608430+2 9.699420+5 1.761020+2 5.320740+5620023547 1895 1.822560+2 3.812820+5 1.838390+2 3.492740+5 1.875500+2 3.042900+5620023547 1896 1.913350+2 2.758700+5 2.000000+2 2.310290+5 2.056120+2 2.187220+5620023547 1897 2.106510+2 2.166160+5 2.197690+2 2.276440+5 2.457390+2 3.083130+5620023547 1898 2.550600+2 3.411170+5 2.829800+2 4.147490+5 3.000000+2 4.481480+5620023547 1899 3.420800+2 4.958770+5 4.000000+2 5.039110+5 5.000000+2 4.487470+5620023547 1900 6.480740+2 3.380540+5 7.483310+2 2.760970+5 8.458970+2 2.261330+5620023547 1901 9.457420+2 1.859420+5 1.058770+3 1.509110+5 1.214220+3 1.136170+5620023547 1902 1.348420+3 9.054340+4 1.475210+3 7.453370+4 1.646390+3 5.781530+4620023547 1903 1.814600+3 4.570410+4 2.000000+3 3.613000+4 2.103980+3 3.156810+4620023547 1904 2.299120+3 2.492670+4 2.519330+3 1.953780+4 2.681450+3 1.654810+4620023547 1905 2.889820+3 1.355790+4 3.109840+3 1.105890+4 3.311840+3 9.217350+3620023547 1906 3.542840+3 7.583161+3 3.841410+3 5.999880+3 4.113140+3 4.900930+3620023547 1907 4.410200+3 3.960510+3 4.695850+3 3.269470+3 5.000000+3 2.699000+3620023547 1908 5.390560+3 2.119390+3 5.825300+3 1.651720+3 6.141650+3 1.393520+3620023547 1909 6.544030+3 1.136390+3 7.046790+3 8.904850+2 7.508290+3 7.198120+2620023547 1910 8.000000+3 5.818500+2 8.458970+3 4.796550+2 8.820401+3 4.149710+2620023547 1911 9.391701+3 3.339260+2 1.000000+4 2.687100+2 1.075580+4 2.064160+2620023547 1912 1.143200+4 1.655310+2 1.223530+4 1.294560+2 1.312290+4 1.004680+2620023547 1913 1.376470+4 8.452030+1 1.457640+4 6.868850+1 1.554920+4 5.406050+1620023547 1914 1.655920+4 4.262760+1 1.766950+4 3.336400+1 1.846890+4 2.823080+1620023547 1915 1.947600+4 2.310250+1 2.051330+4 1.892710+1 2.151150+4 1.571740+1620023547 1916 2.286410+4 1.238260+1 2.436700+4 9.653500+0 2.566740+4 7.877340+0620023547 1917 2.713780+4 6.335300+0 2.853300+4 5.207330+0 3.048270+4 4.012770+0620023547 1918 3.191430+4 3.333390+0 3.375660+4 2.656920+0 3.545560+4 2.178630+0620023547 1919 3.776190+4 1.688760+0 3.911050+4 1.465460+0 4.158750+4 1.143370+0620023547 1920 4.430630+4 8.851790-1 4.626120+4 7.434350-1 4.872130+4 6.029720-1620023547 1921 5.109490+4 4.967510-1 5.437800+4 3.845200-1 5.750560+4 3.055220-1620023547 1922 6.053340+4 2.474000-1 6.432710+4 1.926820-1 6.797430+4 1.535850-1620023547 1923 7.133490+4 1.259410-1 7.589210+4 9.762670-2 7.855460+4 8.471990-2620023547 1924 8.344090+4 6.610200-2 8.879840+4 5.117710-2 9.264710+4 4.298330-2620023547 1925 9.748640+4 3.486320-2 1.025670+5 2.834680-2 1.075580+5 2.340220-2620023547 1926 1.143200+5 1.829880-2 1.182690+5 1.595640-2 1.255090+5 1.255540-2620023547 1927 1.334400+5 9.805650-3 1.391330+5 8.284740-3 1.462870+5 6.767720-3620023547 1928 1.527210+5 5.701860-3 1.604630+5 4.700230-3 1.695460+5 3.790420-3620023547 1929 1.798500+5 3.010110-3 1.896570+5 2.446180-3 2.000000+5 1.987900-3620023547 1930 2.077490+5 1.724470-3 2.220390+5 1.344670-3 2.378050+5 1.040400-3620023547 1931 2.491930+5 8.734390-4 2.635790+5 7.080650-4 2.780380+5 5.819690-4620023547 1932 2.924930+5 4.849680-4 3.109840+5 3.912710-4 3.311840+5 3.152130-4620023547 1933 3.542840+5 2.500490-4 3.764490+5 2.030040-4 4.000000+5 1.648100-4620023547 1934 4.318900+5 1.290300-4 4.550780+5 1.091990-4 4.845540+5 8.938290-5620023547 1935 5.115260+5 7.556450-5 5.415170+5 6.378000-5 5.798350+5 5.203840-5620023547 1936 6.000000+5 4.700500-5 6.447420+5 3.863490-5 6.804750+5 3.335090-5620023547 1937 7.378210+5 2.674840-5 8.000000+5 2.145300-5 8.458970+5 1.870260-5620023547 1938 9.197270+5 1.522370-5 1.000000+6 1.239200-5 1.074770+6 1.074490-5620023547 1939 1.188630+6 8.823640-6 1.308290+6 7.350930-6 1.433160+6 6.212780-6620023547 1940 1.554920+6 5.366130-6 1.701190+6 4.591140-6 1.894980+6 3.807420-6620023547 1941 2.044000+6 3.343700-6 2.332190+6 2.717310-6 2.551640+6 2.358940-6620023547 1942 2.842410+6 1.990710-6 3.000000+6 1.828750-6 3.464100+6 1.485560-6620023547 1943 4.000000+6 1.206770-6 4.472140+6 1.036030-6 5.000000+6 8.894540-7620023547 1944 5.732660+6 7.432380-7 6.480740+6 6.346570-7 7.483310+6 5.295680-7620023547 1945 8.485280+6 4.536690-7 1.000000+7 3.722090-7 1.148910+7 3.160600-7620023547 1946 1.349070+7 2.624940-7 1.600000+7 2.162910-7 1.897370+7 1.788150-7620023547 1947 2.200000+7 1.519160-7 2.600000+7 1.267140-7 3.000000+7 1.086720-7620023547 1948 3.464100+7 9.325770-8 4.000000+7 8.002980-8 4.728710+7 6.717300-8620023547 1949 5.477230+7 5.763250-8 6.447420+7 4.867210-8 7.444840+7 4.196170-8620023547 1950 8.944271+7 3.475430-8 1.000000+8 3.100100-8 0.000000+0 0.000000+0620023547 1951 620023 0 1952 6.200000+4 1.491080+2 0 0 0 0620023548 1953 9.370000+0 0.000000+0 0 0 1 206620023548 1954 206 2 0 0 0 0620023548 1955 1.000000+1 2.260650+5 1.224740+1 2.362690+5 1.355400+1 2.508930+5620023548 1956 1.500000+1 2.788450+5 1.701190+1 3.424930+5 1.901430+1 4.310690+5620023548 1957 2.246840+1 6.086800+5 3.255090+1 1.223720+6 3.734460+1 1.481580+6620023548 1958 4.000000+1 1.613790+6 5.000000+1 1.980270+6 6.000000+1 2.206020+6620023548 1959 7.000000+1 2.293640+6 8.000000+1 2.281270+6 1.000000+2 2.137470+6620023548 1960 1.670870+2 1.401570+6 2.125360+2 1.010530+6 2.400150+2 8.279490+5620023548 1961 2.766190+2 6.395810+5 3.117020+2 5.022250+5 3.364940+2 4.251780+5620023548 1962 3.739630+2 3.334720+5 4.229490+2 2.461300+5 4.598630+2 1.983110+5620023548 1963 5.000000+2 1.597820+5 5.415170+2 1.278420+5 5.798350+2 1.055980+5620023548 1964 6.219690+2 8.615029+4 6.623670+2 7.131840+4 7.085680+2 5.824850+4620023548 1965 7.682820+2 4.568620+4 8.344580+2 3.528840+4 8.983690+2 2.777650+4620023548 1966 9.694080+2 2.170070+4 1.021040+3 1.833920+4 1.086640+3 1.498540+4620023548 1967 1.166680+3 1.179470+4 1.251140+3 9.257090+3 1.344640+3 7.210620+3620023548 1968 1.412370+3 6.081260+3 1.498170+3 4.957000+3 1.593860+3 3.977430+3620023548 1969 1.686920+3 3.235580+3 1.792670+3 2.593560+3 1.893500+3 2.125430+3620023548 1970 2.000000+3 1.741800+3 2.103980+3 1.434670+3 2.242480+3 1.124060+3620023548 1971 2.365370+3 9.164340+2 2.510180+3 7.300210+2 2.668810+3 5.774090+2620023548 1972 2.853300+3 4.470660+2 3.054430+3 3.433110+2 3.209250+3 2.814970+2620023548 1973 3.390920+3 2.256640+2 3.597000+3 1.780710+2 3.793150+3 1.438840+2620023548 1974 4.000000+3 1.162600+2 4.207960+3 9.387830+1 4.484950+3 7.173950+1620023548 1975 4.730750+3 5.727900+1 5.020360+3 4.457830+1 5.337610+3 3.442310+1620023548 1976 5.565340+3 2.886020+1 5.851470+3 2.335820+1 6.219690+3 1.794440+1620023548 1977 6.418500+3 1.562860+1 6.781840+3 1.227180+1 7.178090+3 9.563400+0620023548 1978 7.461460+3 8.068160+0 7.816300+3 6.579140+0 8.226281+3 5.239600+0620023548 1979 8.637790+3 4.205370+0 9.101571+3 3.322680+0 9.540210+3 2.687840+0620023548 1980 1.000000+4 2.174300+0 1.051990+4 1.721910+0 1.099690+4 1.403990+0620023548 1981 1.162780+4 1.086090+0 1.218350+4 8.760800-1 1.283370+4 6.896340-1620023548 1982 1.354060+4 5.388220-1 1.404470+4 4.553790-1 1.467460+4 3.721230-1620023548 1983 1.554920+4 2.838870-1 1.626870+4 2.293220-1 1.689640+4 1.918060-1620023548 1984 1.762390+4 1.572030-1 1.843820+4 1.270250-1 1.946520+4 9.835590-2620023548 1985 2.043790+4 7.789700-2 2.131390+4 6.351940-2 2.216920+4 5.246020-2620023548 1986 2.341650+4 4.020320-2 2.459620+4 3.165760-2 2.573090+4 2.542450-2620023548 1987 2.645020+4 2.223460-2 2.785370+4 1.729270-2 2.914270+4 1.387840-2620023548 1988 3.031950+4 1.144880-2 3.186730+4 8.987320-3 3.322330+4 7.339080-3620023548 1989 3.480140+4 5.856710-3 3.603400+4 4.944960-3 3.796530+4 3.836430-3620023548 1990 4.000000+4 2.976400-3 4.177090+4 2.407560-3 4.350240+4 1.973430-3620023548 1991 4.519070+4 1.637800-3 4.762320+4 1.267020-3 4.997010+4 1.001150-3620023548 1992 5.217610+4 8.102950-4 5.428580+4 6.673620-4 5.698190+4 5.263810-4620023548 1993 5.945060+4 4.276820-4 6.277600+4 3.276360-4 6.557140+4 2.647030-4620023548 1994 6.800640+4 2.214260-4 7.082470+4 1.815050-4 7.397410+4 1.466840-4620023548 1995 7.793870+4 1.135990-4 8.112350+4 9.344360-5 8.429529+4 7.761040-5620023548 1996 8.797360+4 6.311420-5 9.209300+4 5.057330-5 9.596510+4 4.143200-5620023548 1997 1.000000+5 3.394300-5 1.051990+5 2.672520-5 1.099690+5 2.168050-5620023548 1998 1.162780+5 1.666470-5 1.218350+5 1.337070-5 1.283370+5 1.046270-5620023548 1999 1.354060+5 8.124690-6 1.404470+5 6.837810-6 1.467460+5 5.559670-6620023548 2000 1.527210+5 4.620550-6 1.604630+5 3.692210-6 1.695460+5 2.876140-6620023548 2001 1.794520+5 2.223020-6 1.865360+5 1.864960-6 1.954080+5 1.510580-6620023548 2002 2.051330+5 1.218700-6 2.151150+5 9.928150-7 2.286410+5 7.631580-7620023548 2003 2.400770+5 6.182480-7 2.500880+5 5.183480-7 2.617280+5 4.259740-7620023548 2004 2.748010+5 3.451880-7 2.913530+5 2.682020-7 3.054430+5 2.197720-7620023548 2005 3.209250+5 1.798110-7 3.390920+5 1.437980-7 3.533890+5 1.216070-7620023548 2006 3.759730+5 9.457250-8 4.000000+5 7.354800-8 4.229490+5 5.970840-8620023548 2007 4.410200+5 5.106630-8 4.695850+5 4.039080-8 5.000000+5 3.194700-8620023548 2008 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1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0620027506 2602 620027 0 2603 6200 0 0 2604 0 0 0 2605 6.300000+4 1.506550+2 -1 0 0 16300 1451 1 0.000000+0 0.000000+0 0 0 0 66300 1451 2 0.000000+0 0.000000+0 0 0 3 66300 1451 3 0.000000+0 0.000000+0 0 0 131 326300 1451 4 63-EU- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6300 1451 6 ----ENDF/B-VI MATERIAL 6300 6300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6300 1451 8 ------ENDF-6 FORMAT 6300 1451 9 =================================================================6300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6300 1451 11 ENDF/B-VI FORMAT 6300 1451 12 =================================================================6300 1451 13 CONTENTS 6300 1451 14 =================================================================6300 1451 15 MF/MT DESCRIPTION 6300 1451 16 =================================================================6300 1451 17 23/501 TOTAL CROSS SECTION 6300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6300 1451 44 =================================================================6300 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6300 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6300 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6300 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6300 1451 49 =================================================================6300 1451 50 WARNING 6300 1451 51 =================================================================6300 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6300 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6300 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6300 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6300 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6300 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6300 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6300 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6300 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6300 1451 61 =================================================================6300 1451 62 DEFINITION OF NEW TYPES OF DATA 6300 1451 63 =================================================================6300 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6300 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6300 1451 66 6300 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6300 1451 68 C2 FIELDS ARE, 6300 1451 69 6300 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6300 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6300 1451 72 6300 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6300 1451 74 6300 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6300 1451 76 6300 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6300 1451 78 T = THE THOMSON CROSS SECTION 6300 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6300 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6300 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6300 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6300 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6300 1451 84 6300 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6300 1451 86 6300 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6300 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6300 1451 89 =================================================================6300 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6300 1451 91 =================================================================6300 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6300 1451 93 HERE - 10 EV TO 100 MEV 6300 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6300 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6300 1451 96 HERE - PHOTON INTERACTION 6300 1451 97 - AVERAGE FLUORESCENCE YIELD 6300 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6300 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6300 1451 100 HERE - NO SECONDARY ENERGY DATA 6300 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6300 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6300 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6300 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6300 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6300 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6300 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6300 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6300 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6300 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6300 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6300 1451 112 =================================================================6300 1451 113 REFERENCES 6300 1451 114 =================================================================6300 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6300 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6300 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6300 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6300 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6300 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6300 1451 121 6300 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6300 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6300 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6300 1451 125 OF THE DATA, ETC. 6300 1451 126 =================================================================6300 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6300 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6300 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6300 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6300 1451 131 *RECONSTRUCTED MT NUMBERS 6300 1451 132 516 =+(515,515)+(517,517) 6300 1451 133 522 =+(534,572) 6300 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6300 1451 135 1 451 167 16300 1451 136 23 501 520 16300 1451 137 23 502 87 16300 1451 138 23 504 23 16300 1451 139 23 515 17 16300 1451 140 23 516 36 16300 1451 141 23 517 23 16300 1451 142 23 522 405 16300 1451 143 23 534 29 16300 1451 144 23 535 35 16300 1451 145 23 536 39 16300 1451 146 23 537 41 16300 1451 147 23 538 39 16300 1451 148 23 539 43 16300 1451 149 23 540 44 16300 1451 150 23 541 54 16300 1451 151 23 542 54 16300 1451 152 23 543 43 16300 1451 153 23 544 45 16300 1451 154 23 545 47 16300 1451 155 23 546 61 16300 1451 156 23 547 62 16300 1451 157 23 548 72 16300 1451 158 23 549 72 16300 1451 159 23 550 47 16300 1451 160 23 551 57 16300 1451 161 23 552 58 16300 1451 162 23 559 52 16300 1451 163 27 502 50 16300 1451 164 27 504 45 16300 1451 165 27 505 67 16300 1451 166 27 506 111 16300 1451 167 6300 1 0 168 6300 0 0 169 6.300000+4 1.506550+2 0 0 0 0630023501 170 0.000000+0 0.000000+0 0 0 1 1549630023501 171 1549 2 0 0 0 0630023501 172 1.000000+1 8.239780+5 1.029830+1 8.078650+5 1.076240+1 7.827950+5630023501 173 1.124750+1 7.565910+5 1.154780+1 7.441890+5 1.162220+1 7.411160+5630023501 174 1.220190+1 7.225960+5 1.223530+1 7.218790+5 1.224740+1 7.217720+5630023501 175 1.226770+1 7.218030+5 1.279800+1 7.226000+5 1.336090+1 7.254030+5630023501 176 1.342320+1 7.257130+5 1.355400+1 7.269500+5 1.391330+1 7.339590+5630023501 177 1.402800+1 7.380480+5 1.407860+1 7.398520+5 1.418970+1 7.438120+5630023501 178 1.438810+1 7.515030+5 1.479320+1 7.672070+5 1.500000+1 7.752230+5630023501 179 1.527210+1 7.891850+5 1.554920+1 8.034040+5 1.604630+1 8.397460+5630023501 180 1.611850+1 8.450240+5 1.655920+1 8.816790+5 1.688590+1 9.093040+5630023501 181 1.725740+1 9.407170+5 1.794520+1 9.988750+5 1.795470+1 9.998510+5630023501 182 1.798500+1 1.003320+6 1.844090+1 1.055870+6 1.926690+1 1.151070+6630023501 183 1.988080+1 1.221830+6 2.015730+1 1.253700+6 2.041330+1 1.283210+6630023501 184 2.078790+1 1.329290+6 2.157080+1 1.425590+6 2.197320+1 1.475080+6630023501 185 2.257090+1 1.556280+6 2.302980+1 1.618630+6 2.309400+1 1.627350+6630023501 186 2.373570+1 1.714530+6 2.446330+1 1.813390+6 2.474670+1 1.851900+6630023501 187 2.487160+1 1.870220+6 2.532480+1 1.936730+6 2.567010+1 1.987410+6630023501 188 2.586210+1 2.015600+6 2.599560+1 2.035200+6 2.611070+1 2.052100+6630023501 189 2.613810+1 2.056130+6 2.623040+1 2.070630+6 2.645110+1 2.105310+6630023501 190 2.651000+1 2.114560+6 2.655660+1 2.121860+6 2.656000+1 2.122390+6630023501 191 2.656000+1 1.817910+7 2.666200+1 1.796380+7 2.675230+1 1.777320+7630023501 192 2.690970+1 1.744100+7 2.704500+1 1.715540+7 2.736960+1 1.647030+7630023501 193 2.747870+1 1.624000+7 2.765540+1 1.586700+7 2.773720+1 1.573670+7630023501 194 2.822940+1 1.495250+7 2.848410+1 1.454680+7 2.850790+1 1.450890+7630023501 195 2.938370+1 1.310560+7 2.963150+1 1.282500+7 3.000000+1 1.240770+7630023501 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4.751380+1 7.792940+6630023501 209 4.859700+1 7.643900+6 4.911000+1 7.573320+6 4.921000+1 7.563990+6630023501 210 4.921000+1 7.616090+6 5.020000+1 7.525570+6 5.036780+1 7.504490+6630023501 211 5.261020+1 7.277670+6 5.361610+1 7.196270+6 5.412340+1 7.164420+6630023501 212 5.513860+1 7.100680+6 5.671830+1 7.023690+6 5.833370+1 6.965990+6630023501 213 6.000000+1 6.922120+6 6.235740+1 6.888370+6 6.310140+1 6.861640+6630023501 214 6.418600+1 6.822660+6 6.480740+1 6.805030+6 6.800570+1 6.741210+6630023501 215 6.928200+1 6.720990+6 7.000000+1 6.709690+6 7.197290+1 6.681640+6630023501 216 7.400140+1 6.652080+6 7.421120+1 6.648870+6 7.437960+1 6.643780+6630023501 217 7.483310+1 6.630050+6 8.000000+1 6.508300+6 8.404550+1 6.411530+6630023501 218 8.485280+1 6.391710+6 8.659150+1 6.351790+6 8.738850+1 6.333530+6630023501 219 9.000000+1 6.276930+6 9.060480+1 6.261680+6 9.575240+1 6.131920+6630023501 220 9.740040+1 6.089670+6 9.946010+1 6.038350+6 1.000000+2 6.024930+6630023501 221 1.024100+2 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2.580850+3 5.617770+3 2.035110+3630023547 1894 6.064090+3 1.592900+3 6.388570+3 1.347860+3 6.800940+3 1.103040+3630023547 1895 7.334701+3 8.582180+2 7.887391+3 6.701770+2 8.369510+3 5.476110+2630023547 1896 8.918821+3 4.410530+2 9.443951+3 3.630000+2 1.025670+4 2.727040+2630023547 1897 1.099690+4 2.121800+2 1.143200+4 1.845090+2 1.223530+4 1.444830+2630023547 1898 1.312290+4 1.122790+2 1.376470+4 9.454220+1 1.457640+4 7.691640+1630023547 1899 1.554920+4 6.060870+1 1.655920+4 4.784580+1 1.766950+4 3.749240+1630023547 1900 1.846890+4 3.174960+1 1.947600+4 2.600710+1 2.051330+4 2.132640+1630023547 1901 2.151150+4 1.772440+1 2.286410+4 1.397850+1 2.436700+4 1.090960+1630023547 1902 2.566740+4 8.910290+0 2.713780+4 7.172930+0 2.853300+4 5.900930+0630023547 1903 3.048270+4 4.552270+0 3.191430+4 3.784150+0 3.375660+4 3.018730+0630023547 1904 3.545560+4 2.477130+0 3.776190+4 1.921950+0 3.911050+4 1.668690+0630023547 1905 4.158750+4 1.303130+0 4.430630+4 1.009810+0 4.626120+4 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3.662700-4 3.542840+5 2.905700-4 3.764490+5 2.359150-4630023547 1919 4.000000+5 1.915400-4 4.318900+5 1.500160-4 4.550780+5 1.269930-4630023547 1920 4.845540+5 1.039810-4 5.115260+5 8.793910-5 5.415170+5 7.426610-5630023547 1921 5.798350+5 6.063460-5 6.000000+5 5.478800-5 6.447420+5 4.497330-5630023547 1922 6.804750+5 3.878440-5 7.378210+5 3.106060-5 8.000000+5 2.487500-5630023547 1923 8.820400+5 1.961070-5 9.590240+5 1.599470-5 1.022000+6 1.382590-5630023547 1924 1.130270+6 1.135080-5 1.250000+6 9.318800-6 1.369310+6 7.875440-6630023547 1925 1.500000+6 6.655630-6 1.701190+6 5.349590-6 1.894980+6 4.436130-6630023547 1926 2.044000+6 3.895780-6 2.332190+6 3.165730-6 2.551640+6 2.748080-6630023547 1927 2.842410+6 2.318960-6 3.000000+6 2.130230-6 3.464100+6 1.729820-6630023547 1928 4.000000+6 1.404670-6 4.472140+6 1.205550-6 5.000000+6 1.034660-6630023547 1929 5.732660+6 8.648100-7 6.480740+6 7.383540-7 7.483310+6 6.158930-7630023547 1930 8.485280+6 5.275420-7 1.000000+7 4.327450-7 1.148910+7 3.674420-7630023547 1931 1.349070+7 3.050990-7 1.600000+7 2.513180-7 1.897370+7 2.077980-7630023547 1932 2.200000+7 1.765550-7 2.600000+7 1.472430-7 3.000000+7 1.262300-7630023547 1933 3.464100+7 1.083250-7 4.000000+7 9.295960-8 4.728710+7 7.802360-8630023547 1934 5.477230+7 6.694030-8 6.447420+7 5.652950-8 7.444840+7 4.873200-8630023547 1935 8.944271+7 4.036140-8 1.000000+8 3.600380-8 0.000000+0 0.000000+0630023547 1936 630023 0 1937 6.300000+4 1.506550+2 0 0 0 0630023548 1938 9.770000+0 0.000000+0 0 0 1 206630023548 1939 206 2 0 0 0 0630023548 1940 1.000000+1 2.910630+5 1.224740+1 2.740740+5 1.355400+1 2.776220+5630023548 1941 1.500000+1 2.960830+5 1.611850+1 3.220280+5 1.795470+1 3.831060+5630023548 1942 2.041330+1 4.936100+5 2.474670+1 7.219060+5 3.000000+1 1.055790+6630023548 1943 4.000000+1 1.626970+6 5.020000+1 2.046940+6 6.000000+1 2.318700+6630023548 1944 7.000000+1 2.460290+6 8.000000+1 2.488550+6 1.000000+2 2.388140+6630023548 1945 1.192270+2 2.207090+6 1.767170+2 1.560000+6 2.206080+2 1.161470+6630023548 1946 2.564120+2 9.113730+5 2.847040+2 7.528260+5 3.150430+2 6.166920+5630023548 1947 3.474290+2 5.009760+5 3.820210+2 4.057760+5 4.229490+2 3.168930+5630023548 1948 4.598630+2 2.567190+5 5.000000+2 2.079710+5 5.415170+2 1.671440+5630023548 1949 5.798350+2 1.385920+5 6.219690+2 1.134620+5 6.623670+2 9.418400+4630023548 1950 7.085680+2 7.714860+4 7.682820+2 6.072240+4 8.226280+2 4.931510+4630023548 1951 8.820400+2 3.953960+4 9.391700+2 3.241000+4 1.020360+3 2.484910+4630023548 1952 1.073100+3 2.102680+4 1.140000+3 1.720790+4 1.222750+3 1.356360+4630023548 1953 1.311030+3 1.065800+4 1.408760+3 8.311960+3 1.479530+3 7.015940+3630023548 1954 1.569170+3 5.724600+3 1.659640+3 4.694000+3 1.773980+3 3.685230+3630023548 1955 1.883600+3 2.964110+3 2.000000+3 2.384100+3 2.103980+3 1.965920+3630023548 1956 2.242480+3 1.542470+3 2.365370+3 1.259040+3 2.510180+3 1.004260+3630023548 1957 2.668810+3 7.953960+2 2.853300+3 6.167580+2 3.054430+3 4.743330+2630023548 1958 3.209250+3 3.893490+2 3.390920+3 3.125010+2 3.597000+3 2.469120+2630023548 1959 3.793150+3 1.997400+2 4.000000+3 1.615800+2 4.207960+3 1.306310+2630023548 1960 4.484950+3 9.997580+1 4.730750+3 7.992500+1 5.020360+3 6.229070+1630023548 1961 5.337610+3 4.817050+1 5.565340+3 4.042600+1 5.851470+3 3.275800+1630023548 1962 6.227040+3 2.507080+1 6.432741+3 2.175210+1 6.809201+3 1.696620+1630023548 1963 7.220510+3 1.313090+1 7.515110+3 1.102600+1 7.884530+3 8.940490+0630023548 1964 8.294630+3 7.140890+0 8.691560+3 5.789090+0 9.137941+3 4.623370+0630023548 1965 9.559260+3 3.776340+0 1.000000+4 3.084500+0 1.051990+4 2.444430+0630023548 1966 1.099690+4 1.994330+0 1.162780+4 1.543940+0 1.218350+4 1.246210+0630023548 1967 1.283370+4 9.816930-1 1.354060+4 7.675790-1 1.404470+4 6.490370-1630023548 1968 1.467460+4 5.306950-1 1.554920+4 4.052730-1 1.626870+4 3.276750-1630023548 1969 1.689640+4 2.742760-1 1.762390+4 2.249850-1 1.843820+4 1.819590-1630023548 1970 1.946520+4 1.410450-1 2.051330+4 1.099070-1 2.151150+4 8.741820-2630023548 1971 2.242480+4 7.154940-2 2.365370+4 5.533010-2 2.436700+4 4.795080-2630023548 1972 2.566740+4 3.732550-2 2.708120+4 2.882810-2 2.808950+4 2.417260-2630023548 1973 2.934910+4 1.956730-2 3.065690+4 1.583660-2 3.197090+4 1.289990-2630023548 1974 3.325390+4 1.064340-2 3.512470+4 8.145350-3 3.689430+4 6.406010-3630023548 1975 3.859630+4 5.138860-3 3.967540+4 4.490990-3 4.178060+4 3.488250-3630023548 1976 4.371410+4 2.796340-3 4.547920+4 2.304490-3 4.780090+4 1.806750-3630023548 1977 4.983490+4 1.473850-3 5.220210+4 1.174780-3 5.405100+4 9.910220-4630023548 1978 5.694790+4 7.678470-4 6.000000+4 5.949300-4 6.288050+4 4.738950-4630023548 1979 6.564510+4 3.846300-4 6.919140+4 2.979930-4 7.245120+4 2.383550-4630023548 1980 7.542929+4 1.960500-4 7.934950+4 1.533310-4 8.278679+4 1.248230-4630023548 1981 8.679020+4 9.926810-5 9.112160+4 7.838180-5 9.609370+4 6.057510-5630023548 1982 1.000000+5 4.992900-5 1.051990+5 3.932780-5 1.099690+5 3.191560-5630023548 1983 1.162780+5 2.454280-5 1.218350+5 1.969900-5 1.283370+5 1.542110-5630023548 1984 1.354060+5 1.198010-5 1.404470+5 1.008550-5 1.467460+5 8.203210-6630023548 1985 1.527210+5 6.819860-6 1.604630+5 5.452080-6 1.695460+5 4.249150-6630023548 1986 1.794520+5 3.285930-6 1.865360+5 2.757640-6 1.954080+5 2.234560-6630023548 1987 2.051330+5 1.803380-6 2.151150+5 1.469420-6 2.286410+5 1.129820-6630023548 1988 2.400770+5 9.154830-7 2.500880+5 7.676920-7 2.617280+5 6.310070-7630023548 1989 2.748010+5 5.114450-7 2.913530+5 3.974820-7 3.054430+5 3.258040-7630023548 1990 3.209250+5 2.666870-7 3.390920+5 2.133860-7 3.533890+5 1.805260-7630023548 1991 3.759730+5 1.404750-7 4.000000+5 1.093100-7 4.229490+5 8.871260-8630023548 1992 4.410200+5 7.585420-8 4.695850+5 5.997500-8 5.000000+5 4.742000-8630023548 1993 5.233180+5 4.024840-8 5.603490+5 3.147240-8 6.000000+5 2.461000-8630023548 1994 6.461930+5 1.907000-8 6.797100+5 1.602620-8 7.222340+5 1.300800-8630023548 1995 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1.87097-11 7.444840+7 1.61289-11630023548 2008 8.944271+7 1.33585-11 1.000000+8 1.19163-11 0.000000+0 0.000000+0630023548 2009 630023 0 2010 6.300000+4 1.506550+2 0 0 0 0630023549 2011 9.080000+0 0.000000+0 0 0 1 207630023549 2012 207 2 0 0 0 0630023549 2013 1.000000+1 3.895320+5 1.223530+1 3.943890+5 1.391330+1 4.193430+5630023549 2014 1.554920+1 4.700760+5 1.794520+1 5.928680+5 2.197320+1 8.727060+5630023549 2015 2.613810+1 1.215600+6 2.850790+1 1.434670+6 3.469430+1 1.950480+6630023549 2016 4.000000+1 2.322950+6 5.020000+1 2.861470+6 6.235740+1 3.251030+6630023549 2017 7.421120+1 3.374590+6 9.000000+1 3.302380+6 1.123100+2 3.036070+6630023549 2018 1.654270+2 2.212460+6 2.028650+2 1.718950+6 2.380960+2 1.344260+6630023549 2019 2.812820+2 1.002420+6 3.156910+2 7.969250+5 3.565220+2 6.122810+5630023549 2020 3.924000+2 4.897520+5 4.318900+2 3.917430+5 4.570180+2 3.377650+5630023549 2021 4.974760+2 2.704170+5 5.415170+2 2.164980+5 5.914740+2 1.681460+5630023549 2022 6.281520+2 1.415290+5 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2.772440-2 7.378210+5 1.874410-2630027506 2576 7.790610+5 1.464200-2 8.637790+5 8.046580-3 9.015840+5 5.434530-3630027506 2577 9.808360+5 1.044920-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0630027506 2578 630027 0 2579 6300 0 0 2580 0 0 0 2581 6.400000+4 1.558990+2 -1 0 0 16400 1451 1 0.000000+0 0.000000+0 0 0 0 66400 1451 2 0.000000+0 0.000000+0 0 0 3 66400 1451 3 0.000000+0 0.000000+0 0 0 133 346400 1451 4 64-GD- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6400 1451 6 ----ENDF/B-VI MATERIAL 6400 6400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6400 1451 8 ------ENDF-6 FORMAT 6400 1451 9 =================================================================6400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6400 1451 11 ENDF/B-VI FORMAT 6400 1451 12 =================================================================6400 1451 13 CONTENTS 6400 1451 14 =================================================================6400 1451 15 MF/MT DESCRIPTION 6400 1451 16 =================================================================6400 1451 17 23/501 TOTAL CROSS SECTION 6400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6400 1451 46 =================================================================6400 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 6400 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 6400 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6400 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 6400 1451 51 =================================================================6400 1451 52 WARNING 6400 1451 53 =================================================================6400 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6400 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6400 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6400 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6400 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6400 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6400 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6400 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6400 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6400 1451 63 =================================================================6400 1451 64 DEFINITION OF NEW TYPES OF DATA 6400 1451 65 =================================================================6400 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6400 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6400 1451 68 6400 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6400 1451 70 C2 FIELDS ARE, 6400 1451 71 6400 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6400 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6400 1451 74 6400 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6400 1451 76 6400 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6400 1451 78 6400 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6400 1451 80 T = THE THOMSON CROSS SECTION 6400 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 6400 1451 82 FF(M) = THE ATOMIC FORM FACTOR 6400 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6400 1451 84 F1(E) = THE REAL SCATTERING FACTOR 6400 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 6400 1451 86 6400 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 6400 1451 88 6400 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6400 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6400 1451 91 =================================================================6400 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6400 1451 93 =================================================================6400 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6400 1451 95 HERE - 10 EV TO 100 MEV 6400 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6400 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 6400 1451 98 HERE - PHOTON INTERACTION 6400 1451 99 - AVERAGE FLUORESCENCE YIELD 6400 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6400 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6400 1451 102 HERE - NO SECONDARY ENERGY DATA 6400 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6400 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 6400 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 6400 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 6400 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6400 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6400 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 6400 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 6400 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 6400 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 6400 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6400 1451 114 =================================================================6400 1451 115 REFERENCES 6400 1451 116 =================================================================6400 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6400 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6400 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6400 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6400 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6400 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6400 1451 123 6400 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6400 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6400 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6400 1451 127 OF THE DATA, ETC. 6400 1451 128 =================================================================6400 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6400 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6400 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6400 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6400 1451 133 *RECONSTRUCTED MT NUMBERS 6400 1451 134 516 =+(515,515)+(517,517) 6400 1451 135 522 =+(534,572) 6400 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6400 1451 137 1 451 171 16400 1451 138 23 501 531 16400 1451 139 23 502 81 16400 1451 140 23 504 24 16400 1451 141 23 515 17 16400 1451 142 23 516 36 16400 1451 143 23 517 23 16400 1451 144 23 522 419 16400 1451 145 23 534 29 16400 1451 146 23 535 34 16400 1451 147 23 536 39 16400 1451 148 23 537 40 16400 1451 149 23 538 38 16400 1451 150 23 539 42 16400 1451 151 23 540 44 16400 1451 152 23 541 53 16400 1451 153 23 542 54 16400 1451 154 23 543 42 16400 1451 155 23 544 45 16400 1451 156 23 545 47 16400 1451 157 23 546 57 16400 1451 158 23 547 60 16400 1451 159 23 548 71 16400 1451 160 23 549 72 16400 1451 161 23 550 46 16400 1451 162 23 551 56 16400 1451 163 23 552 57 16400 1451 164 23 553 67 16400 1451 165 23 554 67 16400 1451 166 23 559 53 16400 1451 167 27 502 52 16400 1451 168 27 504 47 16400 1451 169 27 505 65 16400 1451 170 27 506 108 16400 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4.790030-1 5.604540+4 3.792590-1640023546 1858 5.913720+4 3.061210-1 6.111100+4 2.685380-1 6.499120+4 2.100590-1640023546 1859 6.858790+4 1.694380-1 7.189800+4 1.403930-1 7.628920+4 1.108230-1640023546 1860 8.016990+4 9.091960-2 8.472440+4 7.293180-2 8.989170+4 5.758880-2640023546 1861 9.481129+4 4.656040-2 1.000000+5 3.764400-2 1.051990+5 3.084150-2640023546 1862 1.121240+5 2.400260-2 1.182690+5 1.945960-2 1.255090+5 1.540470-2640023546 1863 1.334400+5 1.210600-2 1.391330+5 1.027180-2 1.462870+5 8.433830-3640023546 1864 1.554920+5 6.658310-3 1.655920+5 5.231530-3 1.766950+5 4.079630-3640023546 1865 1.846890+5 3.443330-3 1.947600+5 2.809370-3 2.051330+5 2.311520-3640023546 1866 2.199390+5 1.788350-3 2.286410+5 1.550230-3 2.447070+5 1.207260-3640023546 1867 2.624580+5 9.328480-4 2.752930+5 7.824450-4 2.915270+5 6.336160-4640023546 1868 3.054430+5 5.355280-4 3.209250+5 4.507130-4 3.390920+5 3.719700-4640023546 1869 3.597000+5 3.028030-4 3.860880+5 2.365600-4 4.000000+5 2.090900-4640023546 1870 4.318900+5 1.624080-4 4.550780+5 1.367080-4 4.845540+5 1.111770-4640023546 1871 5.115260+5 9.333250-5 5.415170+5 7.803630-5 5.798350+5 6.295250-5640023546 1872 6.000000+5 5.654200-5 6.447420+5 4.574370-5 6.804750+5 3.902120-5640023546 1873 7.378210+5 3.074360-5 8.000000+5 2.422200-5 8.458970+5 2.085660-5640023546 1874 9.197270+5 1.666450-5 1.000000+6 1.331500-5 1.074770+6 1.154370-5640023546 1875 1.188630+6 9.478420-6 1.308290+6 7.895710-6 1.433160+6 6.672840-6640023546 1876 1.554920+6 5.762930-6 1.701190+6 4.929760-6 1.894980+6 4.087380-6640023546 1877 2.044000+6 3.589770-6 2.332190+6 2.916380-6 2.551640+6 2.531210-6640023546 1878 2.842410+6 2.135550-6 3.000000+6 1.961560-6 3.464100+6 1.592510-6640023546 1879 4.000000+6 1.292890-6 4.472140+6 1.109630-6 5.000000+6 9.523480-7640023546 1880 5.732660+6 7.954070-7 6.480740+6 6.790230-7 7.483310+6 5.664450-7640023546 1881 8.485280+6 4.851520-7 1.000000+7 3.978680-7 1.148910+7 3.378190-7640023546 1882 1.349070+7 2.804500-7 1.600000+7 2.309950-7 1.897370+7 1.909620-7640023546 1883 2.200000+7 1.622330-7 2.600000+7 1.352370-7 3.000000+7 1.159550-7640023546 1884 3.464100+7 9.952920-8 4.229490+7 8.057000-8 5.000000+7 6.758600-8640023546 1885 6.000000+7 5.592510-8 6.928200+7 4.820940-8 8.458970+7 3.925030-8640023546 1886 1.000000+8 3.306750-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0640023546 1887 640023 0 1888 6.400000+4 1.558990+2 0 0 0 0640023547 1889 1.563000+2 0.000000+0 0 0 1 170640023547 1890 170 2 0 0 0 0640023547 1891 1.563000+2 0.000000+0 1.563000+2 4.314410+5 1.660820+2 6.689250+5640023547 1892 1.667660+2 6.816160+5 1.712110+2 7.059360+5 1.761460+2 6.816160+5640023547 1893 1.790010+2 6.354360+5 1.851150+2 4.708780+5 1.901270+2 3.915800+5640023547 1894 1.952740+2 3.256360+5 2.029780+2 2.604600+5 2.056130+2 2.417750+5640023547 1895 2.089990+2 2.313050+5 2.207620+2 2.133220+5 2.300260+2 2.148010+5640023547 1896 2.380450+2 2.283080+5 2.626240+2 2.997460+5 2.713690+2 3.282190+5640023547 1897 3.086410+2 4.143020+5 3.476510+2 4.689750+5 4.000000+2 4.928630+5640023547 1898 4.472140+2 4.848080+5 5.000000+2 4.585100+5 7.000000+2 3.262570+5640023547 1899 8.458970+2 2.458420+5 9.457420+2 2.041460+5 1.055250+3 1.677470+5640023547 1900 1.175080+3 1.363950+5 1.339000+3 1.040220+5 1.481030+3 8.349270+4640023547 1901 1.614700+3 6.915300+4 1.759550+3 5.681300+4 1.916400+3 4.629760+4640023547 1902 2.077490+3 3.789560+4 2.284600+3 2.966710+4 2.488600+3 2.380090+4640023547 1903 2.710810+3 1.909460+4 2.845900+3 1.665110+4 3.098700+3 1.310320+4640023547 1904 3.382940+3 1.023430+4 3.591550+3 8.647380+3 3.858930+3 7.064440+3640023547 1905 4.229490+3 5.397900+3 4.550780+3 4.329910+3 4.845540+3 3.584360+3640023547 1906 5.233180+3 2.826920+3 5.603491+3 2.281490+3 6.000000+3 1.841300+3640023547 1907 6.258670+3 1.602620+3 6.738460+3 1.256950+3 7.271790+3 9.783740+2640023547 1908 7.659431+3 8.247360+2 8.151980+3 6.718730+2 8.782071+3 5.226310+2640023547 1909 9.371270+3 4.181460+2 1.000000+4 3.345500+2 1.075580+4 2.577050+2640023547 1910 1.143200+4 2.071390+2 1.223530+4 1.624140+2 1.312290+4 1.263810+2640023547 1911 1.376470+4 1.065140+2 1.457640+4 8.675070+1 1.554920+4 6.843890+1640023547 1912 1.655920+4 5.408750+1 1.766950+4 4.243230+1 1.846890+4 3.596110+1640023547 1913 1.947600+4 2.948470+1 2.051330+4 2.420010+1 2.151150+4 2.012930+1640023547 1914 2.286410+4 1.589190+1 2.436700+4 1.241660+1 2.566740+4 1.015020+1640023547 1915 2.713780+4 8.178990+0 2.853300+4 6.734430+0 3.049520+4 5.192300+0640023547 1916 3.196510+4 4.298360+0 3.385900+4 3.411620+0 3.560800+4 2.787160+0640023547 1917 3.798560+4 2.150240+0 3.937770+4 1.861000+0 4.193760+4 1.445280+0640023547 1918 4.475200+4 1.113590+0 4.677840+4 9.322410-1 4.933160+4 7.531630-1640023547 1919 5.174810+4 6.206300-1 5.500830+4 4.834380-1 5.811070+4 3.862890-1640023547 1920 6.111100+4 3.144250-1 6.499120+4 2.444570-1 6.858790+4 1.961340-1640023547 1921 7.189800+4 1.617550-1 7.628920+4 1.269370-1 8.016990+4 1.036290-1640023547 1922 8.472440+4 8.267240-2 8.969240+4 6.548990-2 9.544479+4 5.079130-2640023547 1923 1.000000+5 4.197600-2 1.051990+5 3.424540-2 1.121240+5 2.651010-2640023547 1924 1.182690+5 2.139690-2 1.255090+5 1.685440-2 1.334400+5 1.317770-2640023547 1925 1.391330+5 1.114220-2 1.462870+5 9.110190-3 1.527210+5 7.681120-3640023547 1926 1.604630+5 6.336880-3 1.695460+5 5.114850-3 1.798500+5 4.065780-3640023547 1927 1.896570+5 3.306920-3 2.000000+5 2.689700-3 2.077490+5 2.334200-3640023547 1928 2.220390+5 1.821380-3 2.378050+5 1.410240-3 2.491930+5 1.184510-3640023547 1929 2.635790+5 9.608030-4 2.780380+5 7.899860-4 2.924930+5 6.584070-4640023547 1930 3.109840+5 5.313110-4 3.311840+5 4.281330-4 3.542840+5 3.397120-4640023547 1931 3.764490+5 2.758600-4 4.000000+5 2.240100-4 4.318900+5 1.757100-4640023547 1932 4.550780+5 1.488960-4 4.845540+5 1.220640-4 5.115260+5 1.032780-4640023547 1933 5.415170+5 8.718150-5 5.798350+5 7.114170-5 6.000000+5 6.426500-5640023547 1934 6.447420+5 5.274730-5 6.804750+5 4.548510-5 7.378210+5 3.642280-5640023547 1935 8.000000+5 2.916600-5 8.820400+5 2.297170-5 9.590240+5 1.872070-5640023547 1936 1.022000+6 1.616940-5 1.130270+6 1.327660-5 1.250000+6 1.090130-5640023547 1937 1.369310+6 9.212920-6 1.500000+6 7.786030-6 1.701190+6 6.257070-6640023547 1938 1.894980+6 5.187880-6 2.044000+6 4.556300-6 2.332190+6 3.701600-6640023547 1939 2.551640+6 3.212730-6 2.842410+6 2.710540-6 3.000000+6 2.489700-6640023547 1940 3.464100+6 2.021290-6 4.000000+6 1.641000-6 4.472140+6 1.408390-6640023547 1941 5.000000+6 1.208760-6 5.732660+6 1.009570-6 6.480740+6 8.618470-7640023547 1942 7.483310+6 7.189580-7 8.485280+6 6.157770-7 1.000000+7 5.049930-7640023547 1943 1.148910+7 4.287760-7 1.349070+7 3.559610-7 1.600000+7 2.931890-7640023547 1944 1.897370+7 2.423780-7 2.200000+7 2.059130-7 2.600000+7 1.716490-7640023547 1945 3.000000+7 1.471750-7 3.464100+7 1.263270-7 4.229490+7 1.022630-7640023547 1946 5.000000+7 8.578320-8 6.000000+7 7.098270-8 6.928200+7 6.118950-8640023547 1947 8.458970+7 4.981820-8 1.000000+8 4.197070-8 0.000000+0 0.000000+0640023547 1948 640023 0 1949 6.400000+4 1.558990+2 0 0 0 0640023548 1950 1.703000+1 0.000000+0 0 0 1 203640023548 1951 203 2 0 0 0 0640023548 1952 1.703000+1 0.000000+0 1.703000+1 2.792940+5 2.000000+1 2.607890+5640023548 1953 2.213360+1 2.635150+5 2.457260+1 2.826520+5 2.754080+1 3.290850+5640023548 1954 3.078000+1 4.148230+5 3.508850+1 5.797040+5 4.728710+1 1.154500+6640023548 1955 6.000000+1 1.674610+6 7.000000+1 1.990010+6 8.000000+1 2.187360+6640023548 1956 9.486830+1 2.286310+6 1.000000+2 2.296700+6 1.224740+2 2.206970+6640023548 1957 1.559900+2 1.910410+6 1.879520+2 1.581340+6 2.359240+2 1.184320+6640023548 1958 2.590490+2 1.013430+6 3.005300+2 7.808970+5 3.363980+2 6.207910+5640023548 1959 3.668230+2 5.149410+5 4.113140+2 3.988370+5 4.410200+2 3.360180+5640023548 1960 4.795120+2 2.735530+5 5.233180+2 2.183650+5 5.603490+2 1.817120+5640023548 1961 6.219690+2 1.361610+5 6.623670+2 1.133370+5 7.085680+2 9.311050+4640023548 1962 7.682820+2 7.354480+4 8.458970+2 5.488710+4 9.101570+2 4.364220+4640023548 1963 9.691079+2 3.585640+4 1.055250+3 2.722230+4 1.132420+3 2.157250+4640023548 1964 1.203050+3 1.767290+4 1.289790+3 1.395560+4 1.381770+3 1.099110+4640023548 1965 1.483510+3 8.591970+3 1.557140+3 7.263951+3 1.650330+3 5.938400+3640023548 1966 1.769710+3 4.633650+3 1.881340+3 3.714760+3 2.000000+3 2.978100+3640023548 1967 2.103980+3 2.458830+3 2.242480+3 1.932260+3 2.365370+3 1.579310+3640023548 1968 2.510180+3 1.261580+3 2.668810+3 1.000720+3 2.853300+3 7.772630+2640023548 1969 3.054430+3 5.987570+2 3.209250+3 4.920160+2 3.390920+3 3.953830+2640023548 1970 3.597000+3 3.128050+2 3.793150+3 2.533410+2 4.000000+3 2.051800+2640023548 1971 4.229490+3 1.631850+2 4.479940+3 1.288590+2 4.770110+3 9.959270+1640023548 1972 5.000000+3 8.209400+1 5.241580+3 6.711740+1 5.562080+3 5.209620+1640023548 1973 5.845340+3 4.214210+1 6.177800+3 3.327840+1 6.540471+3 2.608570+1640023548 1974 6.799870+3 2.209500+1 7.124770+3 1.810360+1 7.586530+3 1.374060+1640023548 1975 7.972560+3 1.101000+1 8.310710+3 9.146570+0 8.704201+3 7.440090+0640023548 1976 9.146481+3 5.963380+0 9.563720+3 4.886690+0 1.000000+4 4.004400+0640023548 1977 1.051990+4 3.175750+0 1.099690+4 2.592640+0 1.162780+4 2.008740+0640023548 1978 1.218350+4 1.622460+0 1.283370+4 1.279030+0 1.354060+4 1.000840+0640023548 1979 1.404470+4 8.467170-1 1.467460+4 6.927660-1 1.554920+4 5.295720-1640023548 1980 1.626870+4 4.285450-1 1.689640+4 3.589680-1 1.762390+4 2.946940-1640023548 1981 1.843820+4 2.385440-1 1.946520+4 1.850990-1 2.051330+4 1.443870-1640023548 1982 2.151150+4 1.149590-1 2.242480+4 9.417340-2 2.365370+4 7.290790-2640023548 1983 2.436700+4 6.322400-2 2.566740+4 4.926860-2 2.708120+4 3.809550-2640023548 1984 2.808950+4 3.196810-2 2.934910+4 2.590180-2 3.065690+4 2.097920-2640023548 1985 3.197090+4 1.709870-2 3.325390+4 1.411520-2 3.512470+4 1.081040-2640023548 1986 3.689430+4 8.507630-3 3.859630+4 6.828950-3 3.967540+4 5.970240-3640023548 1987 4.178060+4 4.640480-3 4.371410+4 3.722310-3 4.547920+4 3.069240-3640023548 1988 4.780090+4 2.407960-3 4.983490+4 1.965390-3 5.220210+4 1.567570-3640023548 1989 5.405100+4 1.323000-3 5.694790+4 1.025790-3 6.000000+4 7.953500-4640023548 1990 6.288050+4 6.339610-4 6.564510+4 5.148580-4 6.919140+4 3.991850-4640023548 1991 7.245120+4 3.195030-4 7.542929+4 2.629440-4 7.934950+4 2.057970-4640023548 1992 8.278679+4 1.676350-4 8.679020+4 1.334040-4 8.991940+4 1.124020-4640023548 1993 9.482579+4 8.693160-5 1.000000+5 6.723300-5 1.051990+5 5.298250-5640023548 1994 1.099690+5 4.301440-5 1.162780+5 3.309470-5 1.218350+5 2.657460-5640023548 1995 1.283370+5 2.081350-5 1.354060+5 1.617740-5 1.404470+5 1.362360-5640023548 1996 1.467460+5 1.108540-5 1.527210+5 9.218730-6 1.604630+5 7.371650-6640023548 1997 1.695460+5 5.746770-6 1.794520+5 4.445320-6 1.865360+5 3.731350-6640023548 1998 1.954080+5 3.024280-6 2.038380+5 2.507370-6 2.147750+5 1.999040-6640023548 1999 2.276470+5 1.553260-6 2.417300+5 1.197400-6 2.518290+5 1.002750-6640023548 2000 2.645050+5 8.104690-7 2.765080+5 6.715330-7 2.919970+5 5.365450-7640023548 2001 3.102700+5 4.178970-7 3.303130+5 3.229540-7 3.447160+5 2.709110-7640023548 2002 3.628310+5 2.194060-7 3.791700+5 1.841270-7 3.988960+5 1.519420-7640023548 2003 4.220720+5 1.226760-7 4.484010+5 9.754410-8 4.734980+5 7.935950-8640023548 2004 5.000000+5 6.456500-8 5.233180+5 5.481610-8 5.603490+5 4.288190-8640023548 2005 6.000000+5 3.354600-8 6.461930+5 2.599230-8 6.797100+5 2.184250-8640023548 2006 7.222340+5 1.772770-8 7.444840+5 1.597080-8 8.000000+5 1.267600-8640023548 2007 8.637790+5 1.010330-8 9.391700+5 7.888460-9 1.000000+6 6.552200-9640023548 2008 1.074770+6 5.680550-9 1.188630+6 4.664250-9 1.308290+6 3.885420-9640023548 2009 1.433160+6 3.283650-9 1.554920+6 2.835890-9 1.701190+6 2.425900-9640023548 2010 1.894980+6 2.011360-9 2.044000+6 1.766500-9 2.332190+6 1.435130-9640023548 2011 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1.259670+4-6.703630-1 1.288420+4-5.183790-1 1.319260+4-3.805070-1640027506 2684 1.350510+4-2.489800-1 1.363530+4-2.013230-1 1.367200+4-1.896240-1640027506 2685 1.376470+4-1.677350-1 1.382600+4-1.545730-1 1.416470+4-6.470020-2640027506 2686 1.427000+4-3.552720-2 1.457640+4 4.027260-2 1.467090+4 6.420470-2640027506 2687 1.481220+4 8.705100-2 1.515970+4 1.353680-1 1.537810+4 1.593440-1640027506 2688 1.606950+4 2.067810-1 1.679660+4 2.334980-1 1.692460+4 2.349650-1640027506 2689 1.857870+4 1.950110-1 1.907490+4 1.666510-1 2.051330+4 1.105570-1640027506 2690 2.071770+4 1.004170-1 2.110850+4 7.202390-2 2.143590+4 4.996100-2640027506 2691 2.168350+4 3.067130-2 2.213360+4-2.164190-3 2.254590+4-3.082740-2640027506 2692 2.276150+4-4.683630-2 2.308490+4-7.199250-2 2.324660+4-8.585140-2640027506 2693 2.336780+4-9.756320-2 2.344590+4-1.067690-1 2.366370+4-1.275230-1640027506 2694 2.532880+4-2.664360-1 2.581980+4-3.146280-1 2.631750+4-3.635750-1640027506 2695 2.765960+4-4.780270-1 2.809850+4-5.160380-1 2.934910+4-6.403790-1640027506 2696 3.203050+4-8.913860-1 3.340450+4-1.022370+0 3.633970+4-1.321590+0640027506 2697 3.747760+4-1.451600+0 3.994270+4-1.757160+0 4.200870+4-2.063990+0640027506 2698 4.355280+4-2.347660+0 4.596870+4-2.959450+0 4.713280+4-3.401810+0640027506 2699 4.837760+4-4.133950+0 4.885650+4-4.590690+0 4.919550+4-5.063260+0640027506 2700 4.934190+4-5.335470+0 4.946910+4-5.615470+0 4.956860+4-5.861860+0640027506 2701 4.961370+4-5.981490+0 4.967640+4-6.151030+0 4.973390+4-6.311450+0640027506 2702 4.980280+4-6.503290+0 4.989080+4-6.737710+0 4.998740+4-6.968380+0640027506 2703 5.009590+4-7.170650+0 5.030350+4-7.301590+0 5.051100+4-7.091250+0640027506 2704 5.070320+4-6.636220+0 5.088750+4-6.089300+0 5.112060+4-5.430580+0640027506 2705 5.134290+4-4.888670+0 5.167010+4-4.313330+0 5.228370+4-3.610630+0640027506 2706 5.285960+4-3.139910+0 5.376020+4-2.574390+0 5.516950+4-1.941160+0640027506 2707 5.657890+4-1.496620+0 5.760330+4-1.251750+0 5.863540+4-1.050860+0640027506 2708 6.111100+4-6.516310-1 6.218080+4-5.068620-1 6.337370+4-3.856520-1640027506 2709 6.611570+4-1.419670-1 6.772190+4-2.337060-2 6.795430+4-5.942140-3640027506 2710 6.817870+4 1.098380-2 7.288510+4 2.385530-1 7.359760+4 2.657990-1640027506 2711 7.494660+4 2.993160-1 7.785240+4 3.936650-1 7.936829+4 4.345550-1640027506 2712 8.105110+4 4.592850-1 8.472440+4 5.331940-1 8.626560+4 5.517140-1640027506 2713 8.692460+4 5.506050-1 9.127740+4 5.901460-1 9.443660+4 5.974170-1640027506 2714 1.001560+5 6.273920-1 1.189740+5 5.978350-1 1.721120+5 4.335050-1640027506 2715 2.171360+5 3.233820-1 2.491930+5 2.636830-1 2.915270+5 2.043910-1640027506 2716 3.311840+5 1.611890-1 3.597000+5 1.383540-1 3.912340+5 1.175940-1640027506 2717 4.229490+5 9.985640-2 4.550780+5 8.446250-2 4.908500+5 7.020490-2640027506 2718 5.504060+5 5.300510-2 5.832950+5 4.509170-2 6.461930+5 3.220040-2640027506 2719 6.639380+5 2.898380-2 7.378210+5 1.960260-2 7.790610+5 1.531480-2640027506 2720 8.637790+5 8.418370-3 9.015850+5 5.692190-3 9.810870+5 1.074810-3640027506 2721 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0640027506 2722 640027 0 2723 6400 0 0 2724 0 0 0 2725 6.500000+4 1.575600+2 -1 0 0 16500 1451 1 0.000000+0 0.000000+0 0 0 0 66500 1451 2 0.000000+0 0.000000+0 0 0 3 66500 1451 3 0.000000+0 0.000000+0 0 0 131 326500 1451 4 65-TB- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6500 1451 6 ----ENDF/B-VI MATERIAL 6500 6500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6500 1451 8 ------ENDF-6 FORMAT 6500 1451 9 =================================================================6500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6500 1451 11 ENDF/B-VI FORMAT 6500 1451 12 =================================================================6500 1451 13 CONTENTS 6500 1451 14 =================================================================6500 1451 15 MF/MT DESCRIPTION 6500 1451 16 =================================================================6500 1451 17 23/501 TOTAL CROSS SECTION 6500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6500 1451 44 =================================================================6500 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6500 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6500 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6500 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6500 1451 49 =================================================================6500 1451 50 WARNING 6500 1451 51 =================================================================6500 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6500 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6500 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6500 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6500 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6500 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6500 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6500 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6500 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6500 1451 61 =================================================================6500 1451 62 DEFINITION OF NEW TYPES OF DATA 6500 1451 63 =================================================================6500 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6500 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6500 1451 66 6500 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6500 1451 68 C2 FIELDS ARE, 6500 1451 69 6500 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6500 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6500 1451 72 6500 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6500 1451 74 6500 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6500 1451 76 6500 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6500 1451 78 T = THE THOMSON CROSS SECTION 6500 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6500 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6500 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6500 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6500 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6500 1451 84 6500 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6500 1451 86 6500 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6500 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6500 1451 89 =================================================================6500 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6500 1451 91 =================================================================6500 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6500 1451 93 HERE - 10 EV TO 100 MEV 6500 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6500 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6500 1451 96 HERE - PHOTON INTERACTION 6500 1451 97 - AVERAGE FLUORESCENCE YIELD 6500 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6500 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6500 1451 100 HERE - NO SECONDARY ENERGY DATA 6500 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6500 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6500 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6500 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6500 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6500 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6500 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6500 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6500 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6500 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6500 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6500 1451 112 =================================================================6500 1451 113 REFERENCES 6500 1451 114 =================================================================6500 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6500 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6500 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6500 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6500 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6500 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6500 1451 121 6500 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6500 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6500 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6500 1451 125 OF THE DATA, ETC. 6500 1451 126 =================================================================6500 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6500 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6500 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6500 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6500 1451 131 *RECONSTRUCTED MT NUMBERS 6500 1451 132 516 =+(515,515)+(517,517) 6500 1451 133 522 =+(534,572) 6500 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6500 1451 135 1 451 167 16500 1451 136 23 501 528 16500 1451 137 23 502 87 16500 1451 138 23 504 24 16500 1451 139 23 515 17 16500 1451 140 23 516 37 16500 1451 141 23 517 23 16500 1451 142 23 522 412 16500 1451 143 23 534 28 16500 1451 144 23 535 34 16500 1451 145 23 536 38 16500 1451 146 23 537 40 16500 1451 147 23 538 38 16500 1451 148 23 539 42 16500 1451 149 23 540 44 16500 1451 150 23 541 53 16500 1451 151 23 542 54 16500 1451 152 23 543 42 16500 1451 153 23 544 45 16500 1451 154 23 545 47 16500 1451 155 23 546 57 16500 1451 156 23 547 60 16500 1451 157 23 548 71 16500 1451 158 23 549 71 16500 1451 159 23 550 47 16500 1451 160 23 551 56 16500 1451 161 23 552 58 16500 1451 162 23 559 53 16500 1451 163 27 502 51 16500 1451 164 27 504 47 16500 1451 165 27 505 69 16500 1451 166 27 506 110 16500 1451 167 6500 1 0 168 6500 0 0 169 6.500000+4 1.575600+2 0 0 0 0650023501 170 0.000000+0 0.000000+0 0 0 1 1574650023501 171 1574 2 0 0 0 0650023501 172 1.000000+1 7.866390+5 1.029410+1 7.418870+5 1.032480+1 7.378110+5650023501 173 1.039000+1 7.291560+5 1.039000+1 1.155850+6 1.052400+1 1.134070+6650023501 174 1.082970+1 1.084380+6 1.094330+1 1.068100+6 1.111660+1 1.048720+6650023501 175 1.141120+1 1.015790+6 1.182550+1 9.746150+5 1.204950+1 9.542760+5650023501 176 1.229830+1 9.373850+5 1.234260+1 9.343780+5 1.238000+1 9.320520+5650023501 177 1.248400+1 9.255850+5 1.260950+1 9.199100+5 1.283460+1 9.113650+5650023501 178 1.316880+1 8.986790+5 1.333860+1 8.929210+5 1.368430+1 8.880870+5650023501 179 1.375290+1 8.880050+5 1.428520+1 8.905790+5 1.462310+1 8.922130+5650023501 180 1.467800+1 8.924780+5 1.475780+1 8.929980+5 1.500000+1 8.945750+5650023501 181 1.555060+1 9.163210+5 1.611850+1 9.387510+5 1.612150+1 9.389080+5650023501 182 1.669410+1 9.689360+5 1.678480+1 9.752750+5 1.701190+1 9.911480+5650023501 183 1.735950+1 1.015890+6 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2.000000+5 3.062000-3650023547 1919 2.077490+5 2.657910-3 2.220390+5 2.074810-3 2.378050+5 1.607140-3650023547 1920 2.491930+5 1.350280-3 2.635790+5 1.095640-3 2.780380+5 9.011240-4650023547 1921 2.924930+5 7.512370-4 3.109840+5 6.063900-4 3.311840+5 4.887540-4650023547 1922 3.542840+5 3.879160-4 3.764490+5 3.150800-4 4.000000+5 2.559200-4650023547 1923 4.318900+5 2.007590-4 4.550780+5 1.701350-4 4.845540+5 1.394870-4650023547 1924 5.115260+5 1.180280-4 5.415170+5 9.964070-5 5.798350+5 8.131670-5650023547 1925 6.000000+5 7.346000-5 6.447420+5 6.029660-5 6.804750+5 5.199650-5650023547 1926 7.378210+5 4.163860-5 8.000000+5 3.334400-5 8.820400+5 2.626010-5650023547 1927 9.590240+5 2.139890-5 1.022000+6 1.848300-5 1.130270+6 1.517590-5650023547 1928 1.250000+6 1.246050-5 1.369310+6 1.052880-5 1.500000+6 8.896600-6650023547 1929 1.701190+6 7.149280-6 1.894980+6 5.927440-6 2.044000+6 5.205300-6650023547 1930 2.332190+6 4.228280-6 2.551640+6 3.669510-6 2.842410+6 3.095570-6650023547 1931 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6.325860+5650023548 1946 2.754000+1 8.487040+5 4.000000+1 1.594220+6 5.000000+1 2.065330+6650023548 1947 6.000000+1 2.418960+6 7.000000+1 2.652400+6 8.000000+1 2.764850+6650023548 1948 1.000000+2 2.770650+6 1.224740+2 2.621770+6 2.086350+2 1.702470+6650023548 1949 2.512610+2 1.315690+6 2.827850+2 1.087140+6 3.401970+2 7.731740+5650023548 1950 3.789800+2 6.178220+5 4.229490+2 4.835510+5 4.598630+2 3.961610+5650023548 1951 5.000000+2 3.245640+5 5.477230+2 2.555180+5 6.000000+2 2.011610+5650023548 1952 6.447420+2 1.636700+5 6.804750+2 1.402140+5 7.378210+2 1.111780+5650023548 1953 8.000000+2 8.815550+4 8.637790+2 6.953890+4 9.101570+2 5.915420+4650023548 1954 9.691079+2 4.871860+4 1.032140+3 3.986230+4 1.090900+3 3.325320+4650023548 1955 1.157560+3 2.738300+4 1.242970+3 2.169000+4 1.339830+3 1.683530+4650023548 1956 1.435610+3 1.325030+4 1.541550+3 1.035100+4 1.618230+3 8.746991+3650023548 1957 1.715300+3 7.146810+3 1.821800+3 5.774991+3 1.938740+3 4.615040+3650023548 1958 2.051330+3 3.750560+3 2.199390+3 2.885840+3 2.325560+3 2.339720+3650023548 1959 2.436700+3 1.962960+3 2.566740+3 1.614330+3 2.713780+3 1.309210+3650023548 1960 2.853300+3 1.084230+3 3.054430+3 8.363310+2 3.209250+3 6.878820+2650023548 1961 3.390920+3 5.533580+2 3.597000+3 4.382760+2 3.793150+3 3.553170+2650023548 1962 4.000000+3 2.880600+2 4.207960+3 2.334130+2 4.484950+3 1.791480+2650023548 1963 4.730750+3 1.435610+2 5.020360+3 1.121840+2 5.337610+3 8.699160+1650023548 1964 5.565340+3 7.314240+1 5.851470+3 5.940170+1 6.142510+3 4.834310+1650023548 1965 6.418900+3 3.993120+1 6.791890+3 3.124400+1 7.008900+3 2.725460+1650023548 1966 7.405480+3 2.145940+1 7.837971+3 1.677080+1 8.147241+3 1.417600+1650023548 1967 8.534510+3 1.158650+1 9.035241+3 8.985910+0 9.465621+3 7.275580+0650023548 1968 9.878520+3 5.994230+0 1.040800+4 4.729900+0 1.089450+4 3.844420+0650023548 1969 1.155230+4 2.946480+0 1.210740+4 2.381400+0 1.259240+4 1.992680+0650023548 1970 1.315540+4 1.633990+0 1.378660+4 1.321000+0 1.458410+4 1.023500+0650023548 1971 1.527210+4 8.284400-1 1.604630+4 6.578160-1 1.689640+4 5.170570-1650023548 1972 1.762390+4 4.247590-1 1.843820+4 3.440700-1 1.946520+4 2.672090-1650023548 1973 2.051330+4 2.086310-1 2.151150+4 1.662640-1 2.242480+4 1.363140-1650023548 1974 2.365370+4 1.056440-1 2.436700+4 9.166530-2 2.566740+4 7.150530-2650023548 1975 2.708120+4 5.534780-2 2.808950+4 4.647900-2 2.934910+4 3.769150-2650023548 1976 3.065690+4 3.055040-2 3.197090+4 2.491330-2 3.325390+4 2.057710-2650023548 1977 3.512470+4 1.577080-2 3.689430+4 1.241960-2 3.859630+4 9.974980-3650023548 1978 3.967540+4 8.723870-3 4.178060+4 6.785450-3 4.371410+4 5.446150-3650023548 1979 4.547920+4 4.493000-3 4.780090+4 3.527300-3 4.983490+4 2.880600-3650023548 1980 5.220210+4 2.298950-3 5.405100+4 1.941170-3 5.694790+4 1.506140-3650023548 1981 6.000000+4 1.168600-3 6.288050+4 9.320540-4 6.564510+4 7.573820-4650023548 1982 6.919140+4 5.876330-4 7.245120+4 4.706230-4 7.542929+4 3.875200-4650023548 1983 7.934950+4 3.035020-4 8.278679+4 2.473620-4 8.679020+4 1.969750-4650023548 1984 8.991940+4 1.660430-4 9.482579+4 1.285080-4 1.000000+5 9.945900-5650023548 1985 1.051990+5 7.841130-5 1.099690+5 6.368270-5 1.162780+5 4.901960-5650023548 1986 1.218350+5 3.937740-5 1.283370+5 3.085430-5 1.354060+5 2.399240-5650023548 1987 1.404470+5 2.021120-5 1.467460+5 1.645170-5 1.527210+5 1.368590-5650023548 1988 1.604630+5 1.094810-5 1.695460+5 8.538650-6 1.794520+5 6.607940-6650023548 1989 1.865360+5 5.548360-6 1.954080+5 4.498650-6 2.038380+5 3.730670-6650023548 1990 2.147750+5 2.974840-6 2.276470+5 2.311890-6 2.417300+5 1.782580-6650023548 1991 2.518290+5 1.493000-6 2.645050+5 1.206900-6 2.765080+5 1.000190-6650023548 1992 2.919970+5 7.993800-7 3.102700+5 6.228180-7 3.303130+5 4.814840-7650023548 1993 3.447160+5 4.039890-7 3.628310+5 3.272750-7 3.791700+5 2.747270-7650023548 1994 3.988960+5 2.267890-7 4.220720+5 1.831800-7 4.484010+5 1.457170-7650023548 1995 4.734980+5 1.185990-7 5.000000+5 9.652700-8 5.233180+5 8.192280-8650023548 1996 5.603490+5 6.405290-8 6.000000+5 5.008100-8 6.461930+5 3.883330-8650023548 1997 6.797100+5 3.265010-8 7.222340+5 2.651560-8 7.444840+5 2.389510-8650023548 1998 8.000000+5 1.895200-8 8.637790+5 1.504400-8 9.101570+5 1.285230-8650023548 1999 9.691080+5 1.063950-8 1.010940+6 9.469120-9 1.130270+6 7.605160-9650023548 2000 1.250000+6 6.244400-9 1.369310+6 5.276350-9 1.500000+6 4.458380-9650023548 2001 1.701190+6 3.582740-9 1.894980+6 2.970440-9 2.044000+6 2.608550-9650023548 2002 2.332190+6 2.118930-9 2.551640+6 1.838910-9 2.842410+6 1.551290-9650023548 2003 3.000000+6 1.424820-9 3.464100+6 1.156470-9 4.000000+6 9.38654-10650023548 2004 4.472140+6 8.05573-10 5.000000+6 6.91360-10 5.732660+6 5.77423-10650023548 2005 6.480740+6 4.92870-10 7.483310+6 4.11018-10 8.485280+6 3.51903-10650023548 2006 1.000000+7 2.88554-10 1.148910+7 2.44960-10 1.349070+7 2.03324-10650023548 2007 1.600000+7 1.67433-10 1.897370+7 1.38413-10 2.200000+7 1.17575-10650023548 2008 2.600000+7 9.80313-11 3.000000+7 8.40268-11 3.464100+7 7.21269-11650023548 2009 4.229490+7 5.83872-11 5.000000+7 4.89713-11 6.000000+7 4.05199-11650023548 2010 6.928200+7 3.49290-11 8.458970+7 2.84363-11 1.000000+8 2.39538-11650023548 2011 650023 0 2012 6.500000+4 1.575600+2 0 0 0 0650023549 2013 9.530000+0 0.000000+0 0 0 1 204650023549 2014 204 2 0 0 0 0650023549 2015 1.000000+1 5.846000+5 1.094330+1 5.280640+5 1.204950+1 4.965680+5650023549 2016 1.333860+1 4.894000+5 1.500000+1 5.132750+5 1.669410+1 5.679300+5650023549 2017 1.953130+1 7.089810+5 2.319250+1 9.626650+5 3.009640+1 1.520510+6650023549 2018 3.289000+1 1.768730+6 4.000000+1 2.326050+6 5.000000+1 2.936900+6650023549 2019 6.000000+1 3.382040+6 7.000000+1 3.659930+6 8.485280+1 3.792600+6650023549 2020 1.075580+2 3.675220+6 1.312290+2 3.384330+6 1.902620+2 2.484520+6650023549 2021 2.268990+2 2.001320+6 2.604550+2 1.625480+6 3.110590+2 1.195870+6650023549 2022 3.521710+2 9.367290+5 3.833760+2 7.822160+5 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8.482151+3-1.490170+1 8.538170+3-1.464320+1650027506 2539 8.608111+3-1.462070+1 8.671720+3-1.442580+1 8.706040+3-1.405840+1650027506 2540 8.768300+3-1.301500+1 8.843600+3-1.175860+1 8.899560+3-1.103140+1650027506 2541 9.007981+3-9.952860+0 9.161621+3-8.768110+0 9.389151+3-7.443990+0650027506 2542 9.726840+3-5.919640+0 1.000000+4-4.947550+0 1.017880+4-4.439630+0650027506 2543 1.060010+4-3.442140+0 1.076580+4-3.125950+0 1.136280+4-2.184580+0650027506 2544 1.155230+4-1.943120+0 1.196950+4-1.470250+0 1.217010+4-1.272690+0650027506 2545 1.261110+4-9.212030-1 1.276820+4-8.139810-1 1.309970+4-6.206470-1650027506 2546 1.342050+4-4.661890-1 1.355000+4-4.096120-1 1.365210+4-3.712960-1650027506 2547 1.391840+4-2.921140-1 1.457640+4-1.103810-1 1.465230+4-8.833970-2650027506 2548 1.467410+4-8.269080-2 1.500000+4-2.276630-2 1.520130+4 1.450060-2650027506 2549 1.535130+4 4.136560-2 1.546230+4 5.477190-2 1.564060+4 7.491400-2650027506 2550 1.580250+4 9.565130-2 1.604900+4 1.183980-1 1.640080+4 1.424920-1650027506 2551 1.745320+4 1.954320-1 1.846890+4 1.911400-1 1.894980+4 1.924290-1650027506 2552 1.908960+4 1.898670-1 2.000000+4 1.520570-1 2.067980+4 1.313930-1650027506 2553 2.121340+4 1.049030-1 2.162430+4 7.373510-2 2.187080+4 5.949260-2650027506 2554 2.242480+4 2.074570-2 2.284800+4-9.082830-3 2.286410+4-1.040060-2650027506 2555 2.299120+4-2.026730-2 2.315400+4-3.371520-2 2.342860+4-6.107080-2650027506 2556 2.376880+4-8.897530-2 2.502710+4-1.817710-1 2.574930+4-2.399030-1650027506 2557 2.631750+4-2.948250-1 2.754080+4-3.945520-1 2.809850+4-4.415790-1650027506 2558 2.988680+4-5.943730-1 3.213680+4-8.047210-1 3.444920+4-1.013170+0650027506 2559 3.774160+4-1.342440+0 4.124490+4-1.741390+0 4.341150+4-2.052110+0650027506 2560 4.497520+4-2.322720+0 4.753750+4-2.942650+0 4.872700+4-3.368070+0650027506 2561 5.006730+4-4.125840+0 5.056300+4-4.581600+0 5.091380+4-5.053560+0650027506 2562 5.106980+4-5.334270+0 5.119700+4-5.604570+0 5.129990+4-5.850390+0650027506 2563 5.134670+4-5.969750+0 5.141150+4-6.138900+0 5.147100+4-6.298960+0650027506 2564 5.154230+4-6.490380+0 5.163350+4-6.724330+0 5.173340+4-6.954630+0650027506 2565 5.184570+4-7.156980+0 5.205570+4-7.288050+0 5.226580+4-7.087600+0650027506 2566 5.250170+4-6.560730+0 5.265280+4-6.106420+0 5.294350+4-5.339590+0650027506 2567 5.322060+4-4.729460+0 5.374010+4-3.972930+0 5.422610+4-3.496320+0650027506 2568 5.499030+4-2.928660+0 5.618370+4-2.300150+0 5.737700+4-1.865030+0650027506 2569 5.874090+4-1.487010+0 6.073100+4-1.035050+0 6.173720+4-8.536850-1650027506 2570 6.288050+4-7.001050-1 6.544550+4-4.004500-1 6.679660+4-2.641210-1650027506 2571 6.824810+4-1.600500-1 7.011970+4-4.058200-2 7.148830+4 4.818240-2650027506 2572 7.316380+4 1.450050-1 7.399020+4 1.838120-1 7.607800+4 2.464770-1650027506 2573 7.798840+4 3.125860-1 7.928710+4 3.488550-1 8.054100+4 3.683930-1650027506 2574 8.407579+4 4.537370-1 8.530720+4 4.763760-1 8.704300+4 4.906980-1650027506 2575 9.230300+4 5.694730-1 9.932550+4 6.093390-1 1.090510+5 6.136830-1650027506 2576 1.174710+5 6.067180-1 1.357630+5 5.621070-1 1.573390+5 4.902400-1650027506 2577 1.954080+5 3.812100-1 2.221880+5 3.188250-1 2.417300+5 2.831470-1650027506 2578 2.804270+5 2.249410-1 3.303130+5 1.694590-1 3.542840+5 1.479430-1650027506 2579 3.841410+5 1.259600-1 4.484010+5 9.124920-2 5.028810+5 6.858720-2650027506 2580 5.621000+5 5.075100-2 6.072610+5 4.127590-2 6.814340+5 2.800730-2650027506 2581 7.390120+5 2.002210-2 8.056410+5 1.320000-2 8.696620+5 7.689370-3650027506 2582 9.771340+5 1.138170-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0650027506 2583 650027 0 2584 6500 0 0 2585 0 0 0 2586 6.600000+4 1.611040+2 -1 0 0 16600 1451 1 0.000000+0 0.000000+0 0 0 0 66600 1451 2 0.000000+0 0.000000+0 0 0 3 66600 1451 3 0.000000+0 0.000000+0 0 0 131 326600 1451 4 66-DY- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6600 1451 6 ----ENDF/B-VI MATERIAL 6600 6600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6600 1451 8 ------ENDF-6 FORMAT 6600 1451 9 =================================================================6600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6600 1451 11 ENDF/B-VI FORMAT 6600 1451 12 =================================================================6600 1451 13 CONTENTS 6600 1451 14 =================================================================6600 1451 15 MF/MT DESCRIPTION 6600 1451 16 =================================================================6600 1451 17 23/501 TOTAL CROSS SECTION 6600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6600 1451 44 =================================================================6600 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6600 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6600 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6600 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6600 1451 49 =================================================================6600 1451 50 WARNING 6600 1451 51 =================================================================6600 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6600 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6600 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6600 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6600 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6600 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6600 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6600 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6600 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6600 1451 61 =================================================================6600 1451 62 DEFINITION OF NEW TYPES OF DATA 6600 1451 63 =================================================================6600 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6600 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6600 1451 66 6600 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6600 1451 68 C2 FIELDS ARE, 6600 1451 69 6600 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6600 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6600 1451 72 6600 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6600 1451 74 6600 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6600 1451 76 6600 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6600 1451 78 T = THE THOMSON CROSS SECTION 6600 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6600 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6600 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6600 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6600 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6600 1451 84 6600 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6600 1451 86 6600 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6600 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6600 1451 89 =================================================================6600 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6600 1451 91 =================================================================6600 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6600 1451 93 HERE - 10 EV TO 100 MEV 6600 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6600 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6600 1451 96 HERE - PHOTON INTERACTION 6600 1451 97 - AVERAGE FLUORESCENCE YIELD 6600 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6600 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6600 1451 100 HERE - NO SECONDARY ENERGY DATA 6600 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6600 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6600 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6600 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6600 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6600 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6600 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6600 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6600 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6600 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6600 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6600 1451 112 =================================================================6600 1451 113 REFERENCES 6600 1451 114 =================================================================6600 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6600 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6600 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6600 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6600 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6600 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6600 1451 121 6600 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6600 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6600 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6600 1451 125 OF THE DATA, ETC. 6600 1451 126 =================================================================6600 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6600 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6600 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6600 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6600 1451 131 *RECONSTRUCTED MT NUMBERS 6600 1451 132 516 =+(515,515)+(517,517) 6600 1451 133 522 =+(534,572) 6600 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6600 1451 135 1 451 167 16600 1451 136 23 501 532 16600 1451 137 23 502 88 16600 1451 138 23 504 24 16600 1451 139 23 515 17 16600 1451 140 23 516 37 16600 1451 141 23 517 23 16600 1451 142 23 522 414 16600 1451 143 23 534 28 16600 1451 144 23 535 34 16600 1451 145 23 536 38 16600 1451 146 23 537 40 16600 1451 147 23 538 39 16600 1451 148 23 539 42 16600 1451 149 23 540 44 16600 1451 150 23 541 54 16600 1451 151 23 542 54 16600 1451 152 23 543 42 16600 1451 153 23 544 44 16600 1451 154 23 545 46 16600 1451 155 23 546 57 16600 1451 156 23 547 60 16600 1451 157 23 548 71 16600 1451 158 23 549 71 16600 1451 159 23 550 47 16600 1451 160 23 551 56 16600 1451 161 23 552 58 16600 1451 162 23 559 54 16600 1451 163 27 502 49 16600 1451 164 27 504 45 16600 1451 165 27 505 67 16600 1451 166 27 506 112 16600 1451 167 6600 1 0 168 6600 0 0 169 6.600000+4 1.611040+2 0 0 0 0660023501 170 0.000000+0 0.000000+0 0 0 1 1587660023501 171 1587 2 0 0 0 0660023501 172 1.000000+1 9.355630+5 1.038340+1 8.643140+5 1.044560+1 8.527550+5660023501 173 1.051440+1 8.414650+5 1.062000+1 8.241360+5 1.062000+1 1.325860+6660023501 174 1.074560+1 1.299910+6 1.083370+1 1.281710+6 1.115870+1 1.219950+6660023501 175 1.120840+1 1.212580+6 1.128300+1 1.201510+6 1.154780+1 1.165990+6660023501 176 1.158960+1 1.160380+6 1.178500+1 1.134170+6 1.196770+1 1.111930+6660023501 177 1.221370+1 1.081980+6 1.234170+1 1.069850+6 1.241700+1 1.062720+6660023501 178 1.253300+1 1.052640+6 1.262140+1 1.044970+6 1.274560+1 1.037470+6660023501 179 1.300670+1 1.023770+6 1.327520+1 1.009680+6 1.343580+1 1.001950+6660023501 180 1.382690+1 9.916860+5 1.407860+1 9.866380+5 1.440150+1 9.801610+5660023501 181 1.467970+1 9.745810+5 1.469770+1 9.744380+5 1.500000+1 9.726470+5660023501 182 1.547950+1 9.848230+5 1.590260+1 9.955680+5 1.611850+1 1.001050+6660023501 183 1.660640+1 1.020400+6 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1.133900+2 5.565340+3 9.542070+1660023548 1971 5.851470+3 7.757520+1 6.154210+3 6.267010+1 6.454100+3 5.100570+1660023548 1972 6.860480+3 3.915940+1 7.204120+3 3.169270+1 7.504931+3 2.655000+1660023548 1973 7.854721+3 2.179870+1 8.247611+3 1.764730+1 8.745111+3 1.369550+1660023548 1974 9.296810+3 1.044290+1 9.578970+3 9.120850+0 1.013130+4 7.076380+0660023548 1975 1.064070+4 5.667150+0 1.110730+4 4.666310+0 1.172340+4 3.654480+0660023548 1976 1.226530+4 2.978420+0 1.289830+4 2.371640+0 1.358530+4 1.875080+0660023548 1977 1.437650+4 1.451170+0 1.527210+4 1.101380+0 1.604630+4 8.752020-1660023548 1978 1.695460+4 6.775390-1 1.794520+4 5.203390-1 1.865360+4 4.346280-1660023548 1979 1.954080+4 3.501990-1 2.051330+4 2.786470-1 2.151150+4 2.222700-1660023548 1980 2.242480+4 1.823810-1 2.365370+4 1.414940-1 2.436700+4 1.228440-1660023548 1981 2.566740+4 9.592550-2 2.708120+4 7.432850-2 2.808950+4 6.246330-2660023548 1982 2.934910+4 5.069760-2 3.065690+4 4.112230-2 3.197090+4 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8.520310+3-1.762120+1660027506 2539 8.555770+3-1.795200+1 8.590340+3-1.800570+1 8.625350+3-1.770750+1660027506 2540 8.679470+3-1.675870+1 8.745111+3-1.557850+1 8.820231+3-1.478440+1660027506 2541 8.910531+3-1.454050+1 8.975401+3-1.448470+1 9.019331+3-1.415460+1660027506 2542 9.082831+3-1.333220+1 9.174161+3-1.178940+1 9.244060+3-1.090070+1660027506 2543 9.391201+3-9.607380+0 9.558920+3-8.468350+0 9.805520+3-7.154440+0660027506 2544 1.000000+4-6.305470+0 1.024770+4-5.410850+0 1.056900+4-4.476810+0660027506 2545 1.086870+4-3.718030+0 1.119050+4-3.094070+0 1.161540+4-2.413050+0660027506 2546 1.184710+4-2.101390+0 1.226530+4-1.650370+0 1.266670+4-1.273180+0660027506 2547 1.277530+4-1.185010+0 1.312290+4-9.618260-1 1.328140+4-8.820800-1660027506 2548 1.359670+4-7.181300-1 1.397220+4-5.459970-1 1.404480+4-5.199160-1660027506 2549 1.421020+4-4.694840-1 1.459790+4-3.258560-1 1.500640+4-1.796250-1660027506 2550 1.527210+4-8.756180-2 1.531900+4-7.279900-2 1.544210+4-4.252090-2660027506 2551 1.554920+4-2.974170-2 1.575340+4-4.343460-3 1.577770+4-1.349920-3660027506 2552 1.592190+4 1.552240-2 1.604630+4 2.955610-2 1.623330+4 4.937190-2660027506 2553 1.655920+4 8.797130-2 1.701190+4 1.451390-1 1.707120+4 1.506480-1660027506 2554 1.889470+4 1.804290-1 1.913020+4 1.798660-1 1.954080+4 1.731660-1660027506 2555 2.056240+4 1.479620-1 2.080110+4 1.401380-1 2.152760+4 1.089380-1660027506 2556 2.225940+4 8.392490-2 2.262720+4 6.819570-2 2.280820+4 5.704780-2660027506 2557 2.296760+4 4.324230-2 2.313440+4 2.777840-2 2.367160+4-1.263610-2660027506 2558 2.383470+4-2.392020-2 2.457260+4-7.410890-2 2.488050+4-9.765640-2660027506 2559 2.511630+4-1.183860-1 2.523290+4-1.294900-1 2.535380+4-1.430190-1660027506 2560 2.574930+4-1.789010-1 2.668810+4-2.542640-1 2.749350+4-3.212330-1660027506 2561 2.782670+4-3.518440-1 3.007480+4-5.151980-1 3.185620+4-6.803040-1660027506 2562 3.471900+4-9.257440-1 3.574930+4-1.016230+0 3.911850+4-1.343550+0660027506 2563 4.223450+4-1.687900+0 4.480590+4-2.030060+0 4.653110+4-2.318290+0660027506 2564 4.911880+4-2.911850+0 5.041270+4-3.356350+0 5.179940+4-4.108900+0660027506 2565 5.231220+4-4.562450+0 5.267950+4-5.039500+0 5.283620+4-5.311700+0660027506 2566 5.296810+4-5.581810+0 5.307460+4-5.826810+0 5.312380+4-5.947790+0660027506 2567 5.319170+4-6.118760+0 5.327590+4-6.336620+0 5.332540+4-6.464470+0660027506 2568 5.341970+4-6.697410+0 5.352310+4-6.926760+0 5.363930+4-7.128820+0660027506 2569 5.384290+4-7.259000+0 5.404650+4-7.095310+0 5.427510+4-6.632220+0660027506 2570 5.442160+4-6.213660+0 5.470330+4-5.472490+0 5.483760+4-5.116340+0660027506 2571 5.523460+4-4.403170+0 5.597910+4-3.604540+0 5.663060+4-3.117780+0660027506 2572 5.786640+4-2.447160+0 5.868070+4-2.106510+0 6.000000+4-1.668700+0660027506 2573 6.119070+4-1.362910+0 6.243370+4-1.110310+0 6.367670+4-9.097750-1660027506 2574 6.654650+4-5.300290-1 6.791080+4-3.786320-1 6.943920+4-2.568170-1660027506 2575 7.249540+4-4.284020-2 7.316380+4-1.363260-3 7.400320+4 5.109560-2660027506 2576 7.408200+4 5.605180-2 7.489710+4 9.734610-2 7.730720+4 1.805780-1660027506 2577 8.000000+4 2.896700-1 8.160850+4 3.431400-1 8.610329+4 4.353650-1660027506 2578 8.700670+4 4.436050-1 9.296400+4 5.452700-1 1.000100+5 5.938040-1660027506 2579 1.065660+5 6.077940-1 1.101690+5 6.050730-1 1.144660+5 6.132420-1660027506 2580 1.364540+5 5.664540-1 1.846890+5 4.208790-1 2.221880+5 3.294830-1660027506 2581 2.635790+5 2.579260-1 2.809850+5 2.326850-1 3.280470+5 1.783060-1660027506 2582 3.542840+5 1.539620-1 3.841410+5 1.312230-1 4.451860+5 9.637930-2660027506 2583 5.046020+5 7.104640-2 5.621000+5 5.294490-2 6.072610+5 4.310500-2660027506 2584 6.814340+5 2.924830-2 7.390120+5 2.089920-2 8.061910+5 1.374800-2660027506 2585 8.696620+5 8.058470-3 9.197270+5 4.771230-3 9.771340+5 1.198480-3660027506 2586 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0660027506 2587 660027 0 2588 6600 0 0 2589 0 0 0 2590 6.700000+4 1.635140+2 -1 0 0 16700 1451 1 0.000000+0 0.000000+0 0 0 0 66700 1451 2 0.000000+0 0.000000+0 0 0 3 66700 1451 3 0.000000+0 0.000000+0 0 0 131 326700 1451 4 67-HO- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6700 1451 6 ----ENDF/B-VI MATERIAL 6700 6700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6700 1451 8 ------ENDF-6 FORMAT 6700 1451 9 =================================================================6700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6700 1451 11 ENDF/B-VI FORMAT 6700 1451 12 =================================================================6700 1451 13 CONTENTS 6700 1451 14 =================================================================6700 1451 15 MF/MT DESCRIPTION 6700 1451 16 =================================================================6700 1451 17 23/501 TOTAL CROSS SECTION 6700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6700 1451 44 =================================================================6700 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6700 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6700 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6700 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6700 1451 49 =================================================================6700 1451 50 WARNING 6700 1451 51 =================================================================6700 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6700 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6700 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6700 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6700 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6700 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6700 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6700 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6700 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6700 1451 61 =================================================================6700 1451 62 DEFINITION OF NEW TYPES OF DATA 6700 1451 63 =================================================================6700 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6700 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6700 1451 66 6700 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6700 1451 68 C2 FIELDS ARE, 6700 1451 69 6700 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6700 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6700 1451 72 6700 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6700 1451 74 6700 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6700 1451 76 6700 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6700 1451 78 T = THE THOMSON CROSS SECTION 6700 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6700 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6700 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6700 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6700 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6700 1451 84 6700 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6700 1451 86 6700 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6700 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6700 1451 89 =================================================================6700 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6700 1451 91 =================================================================6700 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6700 1451 93 HERE - 10 EV TO 100 MEV 6700 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6700 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6700 1451 96 HERE - PHOTON INTERACTION 6700 1451 97 - AVERAGE FLUORESCENCE YIELD 6700 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6700 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6700 1451 100 HERE - NO SECONDARY ENERGY DATA 6700 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6700 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6700 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6700 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6700 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6700 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6700 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6700 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6700 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6700 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6700 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6700 1451 112 =================================================================6700 1451 113 REFERENCES 6700 1451 114 =================================================================6700 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6700 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6700 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6700 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6700 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6700 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6700 1451 121 6700 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6700 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6700 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6700 1451 125 OF THE DATA, ETC. 6700 1451 126 =================================================================6700 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6700 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6700 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6700 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6700 1451 131 *RECONSTRUCTED MT NUMBERS 6700 1451 132 516 =+(515,515)+(517,517) 6700 1451 133 522 =+(534,572) 6700 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6700 1451 135 1 451 167 16700 1451 136 23 501 539 16700 1451 137 23 502 86 16700 1451 138 23 504 24 16700 1451 139 23 515 17 16700 1451 140 23 516 36 16700 1451 141 23 517 23 16700 1451 142 23 522 427 16700 1451 143 23 534 28 16700 1451 144 23 535 34 16700 1451 145 23 536 38 16700 1451 146 23 537 40 16700 1451 147 23 538 38 16700 1451 148 23 539 42 16700 1451 149 23 540 43 16700 1451 150 23 541 54 16700 1451 151 23 542 54 16700 1451 152 23 543 42 16700 1451 153 23 544 44 16700 1451 154 23 545 46 16700 1451 155 23 546 58 16700 1451 156 23 547 60 16700 1451 157 23 548 71 16700 1451 158 23 549 71 16700 1451 159 23 550 47 16700 1451 160 23 551 57 16700 1451 161 23 552 57 16700 1451 162 23 559 53 16700 1451 163 27 502 52 16700 1451 164 27 504 48 16700 1451 165 27 505 69 16700 1451 166 27 506 111 16700 1451 167 6700 1 0 168 6700 0 0 169 6.700000+4 1.635140+2 0 0 0 0670023501 170 0.000000+0 0.000000+0 0 0 1 1606670023501 171 1606 2 0 0 0 0670023501 172 1.000000+1 1.097630+6 1.034050+1 1.019850+6 1.053460+1 9.755140+5670023501 173 1.069260+1 9.437650+5 1.080000+1 9.221840+5 1.080000+1 1.506110+6670023501 174 1.096040+1 1.464960+6 1.100390+1 1.453800+6 1.102000+1 1.450000+6670023501 175 1.140070+1 1.380220+6 1.154780+1 1.353250+6 1.155130+1 1.352610+6670023501 176 1.187150+1 1.299160+6 1.214420+1 1.253640+6 1.220060+1 1.244950+6670023501 177 1.235400+1 1.226810+6 1.259790+1 1.197960+6 1.282590+1 1.173570+6670023501 178 1.326140+1 1.130870+6 1.334400+1 1.124820+6 1.336210+1 1.123490+6670023501 179 1.352130+1 1.113240+6 1.407860+1 1.091540+6 1.415740+1 1.088470+6670023501 180 1.471370+1 1.069580+6 1.500000+1 1.060580+6 1.554920+1 1.066340+6670023501 181 1.611850+1 1.072310+6 1.655920+1 1.084000+6 1.669410+1 1.087580+6670023501 182 1.688590+1 1.095780+6 1.701190+1 1.101160+6 1.762490+1 1.128580+6670023501 183 1.795470+1 1.143330+6 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4.547100-6 2.551640+6 3.945300-6 2.842410+6 3.327320-6670023546 1892 3.000000+6 3.055640-6 3.464100+6 2.479270-6 4.000000+6 2.011620-6670023546 1893 4.472140+6 1.725490-6 5.000000+6 1.480060-6 5.732660+6 1.235740-6670023546 1894 6.480740+6 1.054700-6 7.483310+6 8.793600-7 8.485280+6 7.526520-7670023546 1895 1.000000+7 6.169410-7 1.148910+7 5.235680-7 1.349070+7 4.344880-7670023546 1896 1.600000+7 3.577230-7 1.897370+7 2.956300-7 2.200000+7 2.510790-7670023546 1897 2.600000+7 2.093020-7 3.000000+7 1.794010-7 3.464100+7 1.539690-7670023546 1898 4.000000+7 1.321420-7 4.728710+7 1.108690-7 5.477230+7 9.508470-8670023546 1899 6.447420+7 8.027410-8 7.444840+7 6.919590-8 8.944271+7 5.729880-8670023546 1900 1.000000+8 5.110450-8 0.000000+0 0.000000+0 0.000000+0 0.000000+0670023546 1901 670023 0 1902 6.700000+4 1.635140+2 0 0 0 0670023547 1903 1.662300+2 0.000000+0 0 0 1 169670023547 1904 169 2 0 0 0 0670023547 1905 1.662300+2 0.000000+0 1.662300+2 4.414770+5 1.701600+2 5.721240+5670023547 1906 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5.451130+3 4.845540+3 4.530470+3670023547 1919 5.233180+3 3.590430+3 5.603491+3 2.910110+3 6.000000+3 2.358700+3670023547 1920 6.452430+3 1.862830+3 6.857210+3 1.528930+3 7.337951+3 1.227020+3670023547 1921 7.869040+3 9.779840+2 8.492340+3 7.635800+2 9.234050+3 5.795490+2670023547 1922 9.737871+3 4.839220+2 1.051990+4 3.698310+2 1.121240+4 2.953770+2670023547 1923 1.182690+4 2.447190+2 1.255090+4 1.984600+2 1.337590+4 1.585550+2670023547 1924 1.416470+4 1.295490+2 1.527210+4 9.905820+1 1.604630+4 8.254470+1670023547 1925 1.695460+4 6.737330+1 1.798500+4 5.419840+1 1.896570+4 4.455900+1670023547 1926 2.000000+4 3.663400+1 2.103980+4 3.017570+1 2.242480+4 2.364370+1670023547 1927 2.365370+4 1.927730+1 2.510180+4 1.535690+1 2.668810+4 1.214710+1670023547 1928 2.853300+4 9.405560+0 3.048270+4 7.287210+0 3.191430+4 6.074040+0670023547 1929 3.375660+4 4.861520+0 3.545560+4 4.000870+0 3.776190+4 3.115750+0670023547 1930 3.911050+4 2.710790+0 4.158750+4 2.124620+0 4.430630+4 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7.986570-4 3.311840+5 6.442490-4 3.542840+5 5.117800-4670023547 1944 3.764490+5 4.160150-4 4.000000+5 3.381700-4 4.318900+5 2.653790-4670023547 1945 4.550780+5 2.249530-4 4.845540+5 1.844860-4 5.115260+5 1.560760-4670023547 1946 5.415170+5 1.316540-4 5.798350+5 1.073370-4 6.000000+5 9.691900-5670023547 1947 6.447420+5 7.965060-5 6.804750+5 6.875030-5 7.378210+5 5.513180-5670023547 1948 8.000000+5 4.421100-5 8.458970+5 3.850510-5 9.197270+5 3.129690-5670023547 1949 1.000000+6 2.543800-5 1.074770+6 2.205630-5 1.188630+6 1.810820-5670023547 1950 1.308290+6 1.508210-5 1.433160+6 1.274360-5 1.554920+6 1.100380-5670023547 1951 1.701190+6 9.411100-6 1.894980+6 7.801110-6 2.044000+6 6.849580-6670023547 1952 2.332190+6 5.562080-6 2.551640+6 4.825950-6 2.842410+6 4.070030-6670023547 1953 3.000000+6 3.737700-6 3.464100+6 3.032680-6 4.000000+6 2.460650-6670023547 1954 4.472140+6 2.110650-6 5.000000+6 1.810430-6 5.732660+6 1.511580-6670023547 1955 6.480740+6 1.290130-6 7.483310+6 1.075650-6 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2.710720+6 8.000000+1 2.895970+6670023548 1971 1.000000+2 3.013170+6 1.224740+2 2.952080+6 1.500000+2 2.736240+6670023548 1972 2.328440+2 1.871210+6 2.747780+2 1.491810+6 3.284150+2 1.124980+6670023548 1973 3.681440+2 9.069940+5 4.075140+2 7.377680+5 4.630060+2 5.580900+5670023548 1974 5.233180+2 4.175590+5 5.732660+2 3.322720+5 6.235740+2 2.670840+5670023548 1975 6.735370+2 2.168610+5 7.223390+2 1.783730+5 7.813560+2 1.419960+5670023548 1976 8.385820+2 1.156460+5 9.000000+2 9.418510+4 9.740040+2 7.388830+4670023548 1977 1.043420+3 5.937620+4 1.123990+3 4.665670+4 1.213610+3 3.638680+4670023548 1978 1.278770+3 3.071340+4 1.361600+3 2.506040+4 1.461310+3 1.975090+4670023548 1979 1.565340+3 1.555720+4 1.680380+3 1.216290+4 1.763630+3 1.028390+4670023548 1980 1.868980+3 8.408090+3 2.011850+3 6.452080+3 2.128060+3 5.248780+3670023548 1981 2.230460+3 4.416030+3 2.350320+3 3.643180+3 2.485890+3 2.964560+3670023548 1982 2.658940+3 2.314920+3 2.815090+3 1.867450+3 3.002360+3 1.453510+3670023548 1983 3.111990+3 1.264210+3 3.313550+3 9.903100+2 3.535090+3 7.698540+2670023548 1984 3.694580+3 6.484000+2 3.895490+3 5.276720+2 4.102660+3 4.289380+2670023548 1985 4.302310+3 3.528470+2 4.572820+3 2.746310+2 4.730750+3 2.388620+2670023548 1986 5.020360+3 1.871080+2 5.337610+3 1.454530+2 5.565340+3 1.225050+2670023548 1987 5.851470+3 9.969430+1 6.153650+3 8.065920+1 6.452430+3 6.576780+1670023548 1988 6.857210+3 5.061250+1 7.199440+3 4.103980+1 7.498951+3 3.443480+1670023548 1989 7.847201+3 2.832240+1 8.238281+3 2.297210+1 8.733390+3 1.786840+1670023548 1990 9.284231+3 1.364150+1 9.566821+3 1.191550+1 1.012010+4 9.246100+0670023548 1991 1.063030+4 7.405820+0 1.109790+4 6.098680+0 1.171530+4 4.777000+0670023548 1992 1.225830+4 3.893770+0 1.289280+4 3.100960+0 1.358140+4 2.452070+0670023548 1993 1.437480+4 1.898020+0 1.527210+4 1.441070+0 1.604630+4 1.145930+0670023548 1994 1.695460+4 8.878220-1 1.794520+4 6.823830-1 1.865360+4 5.702930-1670023548 1995 1.954080+4 4.598140-1 2.051330+4 3.661620-1 2.151150+4 2.923420-1670023548 1996 2.242480+4 2.400670-1 2.365370+4 1.864370-1 2.436700+4 1.619540-1670023548 1997 2.566740+4 1.265900-1 2.708120+4 9.818870-2 2.808950+4 8.257180-2670023548 1998 2.934910+4 6.707420-2 3.065690+4 5.444470-2 3.197090+4 4.445000-2670023548 1999 3.325390+4 3.675310-2 3.512470+4 2.821090-2 3.689430+4 2.224620-2670023548 2000 3.859630+4 1.788960-2 3.967540+4 1.565770-2 4.178060+4 1.219590-2670023548 2001 4.371410+4 9.800880-3 4.547920+4 8.094400-3 4.780090+4 6.363340-3670023548 2002 4.983490+4 5.202640-3 5.220210+4 4.157420-3 5.486330+4 3.269380-3670023548 2003 5.737420+4 2.633570-3 6.000000+4 2.121400-3 6.288050+4 1.694060-3670023548 2004 6.564510+4 1.378130-3 6.919140+4 1.070720-3 7.245120+4 8.585450-4670023548 2005 7.542929+4 7.076860-4 7.934950+4 5.549850-4 8.278679+4 4.528270-4670023548 2006 8.679020+4 3.610310-4 8.991940+4 3.046160-4 9.482579+4 2.360840-4670023548 2007 1.000000+5 1.829700-4 1.051990+5 1.444000-4 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4.878730+3-9.384050+0 5.353350+3-9.687210+0 5.905050+3-1.029910+1670027506 2552 6.452430+3-1.124430+1 6.857210+3-1.226430+1 7.098850+3-1.313520+1670027506 2553 7.373201+3-1.433040+1 7.581070+3-1.566260+1 7.725370+3-1.699710+1670027506 2554 7.826221+3-1.840010+1 7.895050+3-1.991010+1 7.928060+3-2.094030+1670027506 2555 7.951241+3-2.180330+1 7.970491+3-2.257840+1 7.981540+3-2.302880+1670027506 2556 7.995650+3-2.358010+1 8.011130+3-2.412510+1 8.028510+3-2.460920+1670027506 2557 8.061911+3-2.495990+1 8.095300+3-2.454320+1 8.121690+3-2.370520+1670027506 2558 8.155070+3-2.242560+1 8.186400+3-2.121720+1 8.220951+3-2.008370+1670027506 2559 8.274340+3-1.883430+1 8.386731+3-1.737200+1 8.514920+3-1.656230+1670027506 2560 8.659580+3-1.615090+1 8.758100+3-1.649270+1 8.817470+3-1.710630+1670027506 2561 8.855540+3-1.758970+1 8.891941+3-1.792700+1 8.930071+3-1.793920+1670027506 2562 8.986161+3-1.728440+1 9.039520+3-1.632430+1 9.113300+3-1.515450+1670027506 2563 9.189611+3-1.459740+1 9.267121+3-1.455970+1 9.321670+3-1.450750+1670027506 2564 9.379331+3-1.409290+1 9.465140+3-1.285020+1 9.531781+3-1.177490+1670027506 2565 9.593040+3-1.100320+1 9.737871+3-9.735650+0 9.918041+3-8.511730+0670027506 2566 1.022350+4-6.986770+0 1.053140+4-5.767920+0 1.075580+4-5.077290+0670027506 2567 1.122210+4-3.867370+0 1.142610+4-3.414740+0 1.165730+4-3.029070+0670027506 2568 1.182690+4-2.800680+0 1.235020+4-2.070950+0 1.255420+4-1.828680+0670027506 2569 1.264160+4-1.743780+0 1.293570+4-1.503230+0 1.335750+4-1.143290+0670027506 2570 1.364600+4-9.843680-1 1.380460+4-9.116510-1 1.429890+4-6.308380-1670027506 2571 1.456320+4-5.240990-1 1.482920+4-4.369590-1 1.543140+4-2.164320-1670027506 2572 1.559610+4-1.692350-1 1.565700+4-1.541670-1 1.574750+4-1.386620-1670027506 2573 1.614630+4-8.286070-2 1.618400+4-7.798090-2 1.633070+4-5.488520-2670027506 2574 1.655920+4-1.656500-2 1.692530+4 4.884460-2 1.710400+4 7.300060-2670027506 2575 1.749570+4 1.060370-1 1.820370+4 1.363130-1 1.873520+4 1.564260-1670027506 2576 1.951990+4 1.766100-1 2.052010+4 1.682190-1 2.167260+4 1.487190-1670027506 2577 2.186690+4 1.436770-1 2.243850+4 1.102450-1 2.286410+4 9.341680-2670027506 2578 2.339920+4 6.816290-2 2.376880+4 4.595690-2 2.403910+4 2.857240-2670027506 2579 2.430590+4 8.948460-3 2.441830+4-3.730610-4 2.443920+4-2.060890-3670027506 2580 2.447070+4-5.168130-3 2.457260+4-1.491410-2 2.487260+4-3.739240-2670027506 2581 2.583000+4-1.119550-1 2.668810+4-1.799780-1 2.719340+4-2.196140-1670027506 2582 2.765960+4-2.582800-1 2.871850+4-3.385210-1 2.936250+4-3.879440-1670027506 2583 3.097330+4-5.020820-1 3.236230+4-6.250790-1 3.531850+4-8.695550-1670027506 2584 3.689430+4-1.002910+0 3.964940+4-1.261760+0 4.124490+4-1.417460+0670027506 2585 4.430630+4-1.759010+0 4.633490+4-2.023980+0 4.811890+4-2.310360+0670027506 2586 5.079500+4-2.902350+0 5.220210+4-3.381570+0 5.356700+4-4.098860+0670027506 2587 5.409740+4-4.551260+0 5.447270+4-5.019720+0 5.465160+4-5.321000+0670027506 2588 5.477560+4-5.567000+0 5.488580+4-5.811140+0 5.500510+4-6.097640+0670027506 2589 5.506880+4-6.256580+0 5.514510+4-6.446630+0 5.524260+4-6.678850+0670027506 2590 5.534960+4-6.907280+0 5.546970+4-7.107280+0 5.570430+4-7.236540+0670027506 2591 5.593890+4-7.015230+0 5.615610+4-6.545670+0 5.636440+4-5.990280+0670027506 2592 5.662790+4-5.330970+0 5.687910+4-4.795150+0 5.737420+4-4.083440+0670027506 2593 5.817430+4-3.349300+0 5.888930+4-2.890640+0 5.971970+4-2.464870+0670027506 2594 6.064690+4-2.106080+0 6.296870+4-1.445810+0 6.412680+4-1.196620+0670027506 2595 6.526510+4-1.006020+0 6.781260+4-6.470390-1 6.915670+4-4.885530-1670027506 2596 7.050160+4-3.695310-1 7.365790+4-1.279620-1 7.563960+4-5.450130-4670027506 2597 7.597300+4 2.092250-2 8.146000+4 2.476080-1 8.209350+4 2.685550-1670027506 2598 8.381710+4 3.041220-1 8.682260+4 3.876700-1 8.867100+4 4.305480-1670027506 2599 9.439590+4 5.195310-1 9.601270+4 5.358760-1 9.675810+4 5.353300-1670027506 2600 1.006790+5 5.691780-1 1.028540+5 5.780530-1 1.044270+5 5.771890-1670027506 2601 1.109850+5 6.058910-1 1.334930+5 5.790390-1 2.011990+5 3.879080-1670027506 2602 2.171360+5 3.502970-1 2.550860+5 2.791960-1 2.752930+5 2.485910-1670027506 2603 3.000630+5 2.168030-1 3.542840+5 1.601910-1 3.841410+5 1.365510-1670027506 2604 4.248650+5 1.115960-1 4.494520+5 9.836360-2 5.046020+5 7.399870-2670027506 2605 5.620990+5 5.516160-2 6.085360+5 4.465970-2 6.814340+5 3.047290-2670027506 2606 7.390110+5 2.178660-2 8.047410+5 1.447290-2 8.696620+5 8.396410-3670027506 2607 9.197270+5 4.968660-3 9.771340+5 1.249010-3 1.000000+6 0.000000+0670027506 2608 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0670027506 2609 670027 0 2610 6700 0 0 2611 0 0 0 2612 6.800000+4 1.658230+2 -1 0 0 16800 1451 1 0.000000+0 0.000000+0 0 0 0 66800 1451 2 0.000000+0 0.000000+0 0 0 3 66800 1451 3 0.000000+0 0.000000+0 0 0 131 326800 1451 4 68-ER- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6800 1451 6 ----ENDF/B-VI MATERIAL 6800 6800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6800 1451 8 ------ENDF-6 FORMAT 6800 1451 9 =================================================================6800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6800 1451 11 ENDF/B-VI FORMAT 6800 1451 12 =================================================================6800 1451 13 CONTENTS 6800 1451 14 =================================================================6800 1451 15 MF/MT DESCRIPTION 6800 1451 16 =================================================================6800 1451 17 23/501 TOTAL CROSS SECTION 6800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6800 1451 44 =================================================================6800 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6800 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6800 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6800 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6800 1451 49 =================================================================6800 1451 50 WARNING 6800 1451 51 =================================================================6800 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6800 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6800 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6800 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6800 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6800 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6800 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6800 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6800 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6800 1451 61 =================================================================6800 1451 62 DEFINITION OF NEW TYPES OF DATA 6800 1451 63 =================================================================6800 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6800 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6800 1451 66 6800 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6800 1451 68 C2 FIELDS ARE, 6800 1451 69 6800 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6800 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6800 1451 72 6800 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6800 1451 74 6800 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6800 1451 76 6800 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6800 1451 78 T = THE THOMSON CROSS SECTION 6800 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6800 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6800 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6800 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6800 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6800 1451 84 6800 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6800 1451 86 6800 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6800 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6800 1451 89 =================================================================6800 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6800 1451 91 =================================================================6800 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6800 1451 93 HERE - 10 EV TO 100 MEV 6800 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6800 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6800 1451 96 HERE - PHOTON INTERACTION 6800 1451 97 - AVERAGE FLUORESCENCE YIELD 6800 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6800 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6800 1451 100 HERE - NO SECONDARY ENERGY DATA 6800 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6800 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6800 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6800 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6800 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6800 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6800 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6800 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6800 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6800 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6800 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6800 1451 112 =================================================================6800 1451 113 REFERENCES 6800 1451 114 =================================================================6800 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6800 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6800 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6800 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6800 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6800 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6800 1451 121 6800 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6800 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6800 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6800 1451 125 OF THE DATA, ETC. 6800 1451 126 =================================================================6800 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6800 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6800 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6800 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6800 1451 131 *RECONSTRUCTED MT NUMBERS 6800 1451 132 516 =+(515,515)+(517,517) 6800 1451 133 522 =+(534,572) 6800 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6800 1451 135 1 451 167 16800 1451 136 23 501 539 16800 1451 137 23 502 90 16800 1451 138 23 504 23 16800 1451 139 23 515 17 16800 1451 140 23 516 37 16800 1451 141 23 517 23 16800 1451 142 23 522 420 16800 1451 143 23 534 28 16800 1451 144 23 535 34 16800 1451 145 23 536 38 16800 1451 146 23 537 40 16800 1451 147 23 538 38 16800 1451 148 23 539 42 16800 1451 149 23 540 43 16800 1451 150 23 541 54 16800 1451 151 23 542 54 16800 1451 152 23 543 41 16800 1451 153 23 544 44 16800 1451 154 23 545 46 16800 1451 155 23 546 60 16800 1451 156 23 547 60 16800 1451 157 23 548 70 16800 1451 158 23 549 70 16800 1451 159 23 550 47 16800 1451 160 23 551 56 16800 1451 161 23 552 58 16800 1451 162 23 559 52 16800 1451 163 27 502 49 16800 1451 164 27 504 45 16800 1451 165 27 505 68 16800 1451 166 27 506 113 16800 1451 167 6800 1 0 168 6800 0 0 169 6.800000+4 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1.763390+3680023547 1919 7.269820+3 1.381680+3 7.656800+3 1.169980+3 8.148460+3 9.582930+2680023547 1920 8.778941+3 7.497300+2 9.369600+3 6.025920+2 1.000000+4 4.843300+2680023547 1921 1.075580+4 3.751010+2 1.143200+4 3.028670+2 1.223530+4 2.386710+2680023547 1922 1.312290+4 1.866870+2 1.376470+4 1.578970+2 1.457640+4 1.291480+2680023547 1923 1.554920+4 1.023540+2 1.655920+4 8.123880+1 1.766950+4 6.401570+1680023547 1924 1.846890+4 5.441700+1 1.947600+4 4.477870+1 2.051330+4 3.688100+1680023547 1925 2.151150+4 3.077320+1 2.286410+4 2.439280+1 2.436700+4 1.913850+1680023547 1926 2.566740+4 1.569890+1 2.713780+4 1.269650+1 2.853300+4 1.048860+1680023547 1927 3.000000+4 8.664700+0 3.197810+4 6.731720+0 3.381560+4 5.397620+0680023547 1928 3.550980+4 4.449070+0 3.776190+4 3.488970+0 3.975620+4 2.846670+0680023547 1929 4.210140+4 2.269530+0 4.466480+4 1.796640+0 4.763960+4 1.392390+0680023547 1930 5.109490+4 1.053710+0 5.437800+4 8.192700-1 5.750560+4 6.535520-1680023547 1931 6.053340+4 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2.200000+7 3.500920-7 2.600000+7 2.918520-7 3.000000+7 2.501280-7680023547 1957 3.464100+7 2.146320-7 4.000000+7 1.841730-7 4.728710+7 1.544970-7680023547 1958 5.477230+7 1.325060-7 6.447420+7 1.118790-7 7.444840+7 9.644370-8680023547 1959 8.944271+7 7.986060-8 1.000000+8 7.122440-8 0.000000+0 0.000000+0680023547 1960 680023 0 1961 6.800000+4 1.658230+2 0 0 0 0680023548 1962 1.094000+1 0.000000+0 0 0 1 201680023548 1963 201 2 0 0 0 0680023548 1964 1.094000+1 0.000000+0 1.094000+1 6.730290+5 1.253660+1 5.489940+5680023548 1965 1.500000+1 4.616460+5 1.611850+1 4.491060+5 1.795470+1 4.616640+5680023548 1966 2.000000+1 5.046360+5 2.353040+1 6.200930+5 2.886950+1 8.743930+5680023548 1967 4.000000+1 1.490710+6 5.000000+1 1.987610+6 6.000000+1 2.390190+6680023548 1968 7.000000+1 2.705140+6 8.000000+1 2.919570+6 1.000000+2 3.090190+6680023548 1969 1.224740+2 3.075350+6 1.500000+2 2.897400+6 2.602940+2 1.795940+6680023548 1970 2.939270+2 1.515200+6 3.504640+2 1.140700+6 4.028340+2 8.714160+5680023548 1971 4.586110+2 6.667180+5 5.000000+2 5.489660+5 5.477230+2 4.393660+5680023548 1972 6.000000+2 3.516480+5 6.480740+2 2.867080+5 7.000000+2 2.337610+5680023548 1973 7.631620+2 1.825820+5 8.094630+2 1.542730+5 8.687480+2 1.260340+5680023548 1974 9.486830+2 9.711020+4 1.025670+3 7.627170+4 1.099690+3 6.088690+4680023548 1975 1.182690+3 4.812560+4 1.255090+3 3.971510+4 1.337590+3 3.232780+4680023548 1976 1.443780+3 2.525350+4 1.555500+3 1.966890+4 1.657620+3 1.576460+4680023548 1977 1.738590+3 1.335390+4 1.867520+3 1.041110+4 2.006000+3 8.116800+3680023548 1978 2.109500+3 6.740100+3 2.247300+3 5.335040+3 2.369530+3 4.386940+3680023548 1979 2.513490+3 3.528020+3 2.677450+3 2.793440+3 2.834140+3 2.264060+3680023548 1980 3.000000+3 1.835000+3 3.109840+3 1.595300+3 3.311840+3 1.248700+3680023548 1981 3.533890+3 9.699410+2 3.693770+3 8.164740+2 3.895200+3 6.640160+2680023548 1982 4.102660+3 5.398630+2 4.302310+3 4.445140+2 4.572820+3 3.463970+2680023548 1983 4.730750+3 3.014840+2 5.020360+3 2.364400+2 5.337610+3 1.840270+2680023548 1984 5.565340+3 1.551220+2 5.851470+3 1.263630+2 6.258290+3 9.528300+1680023548 1985 6.599030+3 7.599860+1 6.898431+3 6.289380+1 7.247860+3 5.094130+1680023548 1986 7.641920+3 4.064370+1 8.014860+3 3.316840+1 8.406000+3 2.706800+1680023548 1987 8.923020+3 2.081710+1 9.293651+3 1.740480+1 9.758781+3 1.404000+1680023548 1988 1.025670+4 1.124640+1 1.075580+4 9.074550+0 1.121240+4 7.521160+0680023548 1989 1.182690+4 5.910730+0 1.250440+4 4.596100+0 1.308640+4 3.742550+0680023548 1990 1.374000+4 3.003120+0 1.435620+4 2.463410+0 1.500000+4 2.020700+0680023548 1991 1.579580+4 1.591340+0 1.649420+4 1.302980+0 1.730830+4 1.042900+0680023548 1992 1.822530+4 8.215710-1 1.909200+4 6.628360-1 2.000000+4 5.347700-1680023548 1993 2.103980+4 4.209830-1 2.199390+4 3.414670-1 2.325560+4 2.624190-1680023548 1994 2.436700+4 2.105170-1 2.566740+4 1.647030-1 2.708120+4 1.278750-1680023548 1995 2.808950+4 1.076070-1 2.934910+4 8.748040-2 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4.358270+3-9.271540+0 4.837620+3-9.291070+0 5.415170+3-9.564800+0680027506 2540 6.028330+3-1.018800+1 6.672260+3-1.121380+1 7.116451+3-1.231870+1680027506 2541 7.370610+3-1.321690+1 7.656800+3-1.445220+1 7.813190+3-1.537700+1680027506 2542 7.956870+3-1.657730+1 8.066600+3-1.781140+1 8.151670+3-1.932560+1680027506 2543 8.195270+3-2.048310+1 8.217531+3-2.122150+1 8.233020+3-2.179230+1680027506 2544 8.252960+3-2.256900+1 8.264401+3-2.302040+1 8.279010+3-2.357310+1680027506 2545 8.295040+3-2.411990+1 8.313040+3-2.460740+1 8.345850+3-2.495770+1680027506 2546 8.382691+3-2.447610+1 8.415510+3-2.352220+1 8.439121+3-2.256720+1680027506 2547 8.484520+3-2.094980+1 8.527810+3-1.966370+1 8.568390+3-1.877860+1680027506 2548 8.644470+3-1.767140+1 8.792510+3-1.645150+1 8.932081+3-1.597460+1680027506 2549 9.046821+3-1.602850+1 9.139380+3-1.672170+1 9.182571+3-1.724400+1680027506 2550 9.236621+3-1.783790+1 9.275130+3-1.789580+1 9.327930+3-1.736190+1680027506 2551 9.377640+3-1.651440+1 9.459901+3-1.524630+1 9.522050+3-1.466450+1680027506 2552 9.595161+3-1.444490+1 9.676201+3-1.436810+1 9.716050+3-1.416550+1680027506 2553 9.769541+3-1.356030+1 9.830420+3-1.266800+1 9.900661+3-1.164040+1680027506 2554 9.973621+3-1.080410+1 1.012980+4-9.519020+0 1.036020+4-8.047460+0680027506 2555 1.061190+4-6.905010+0 1.101780+4-5.415320+0 1.133360+4-4.552640+0680027506 2556 1.164290+4-3.838500+0 1.197170+4-3.195370+0 1.220740+4-2.816850+0680027506 2557 1.289130+4-1.944520+0 1.305470+4-1.789180+0 1.337370+4-1.554620+0680027506 2558 1.390290+4-1.181580+0 1.435620+4-9.193430-1 1.460550+4-7.998360-1680027506 2559 1.480420+4-7.088230-1 1.500000+4-6.091030-1 1.554920+4-3.849780-1680027506 2560 1.590260+4-2.477410-1 1.608560+4-1.984650-1 1.644210+4-1.171390-1680027506 2561 1.655920+4-9.632460-2 1.672130+4-6.587380-2 1.692280+4-2.908900-2680027506 2562 1.701190+4-1.625150-2 1.713300+4 7.586010-4 1.720250+4 1.121280-2680027506 2563 1.727070+4 1.797940-2 1.736010+4 2.526540-2 1.766950+4 5.173940-2680027506 2564 1.875110+4 1.509150-1 1.888550+4 1.592380-1 1.932550+4 1.726750-1680027506 2565 2.000000+4 1.732330-1 2.051330+4 1.690210-1 2.137340+4 1.691660-1680027506 2566 2.170350+4 1.665030-1 2.244660+4 1.421270-1 2.325560+4 1.222490-1680027506 2567 2.408980+4 8.573320-2 2.450060+4 5.878780-2 2.477170+4 3.403660-2680027506 2568 2.511630+4 7.772750-3 2.527490+4-4.400150-3 2.566740+4-3.316190-2680027506 2569 2.602970+4-5.880360-2 2.631750+4-8.002430-2 2.659580+4-1.005620-1680027506 2570 2.669010+4-1.083460-1 2.686500+4-1.251770-1 2.713780+4-1.473010-1680027506 2571 2.914550+4-2.909800-1 2.962970+4-3.341440-1 3.065690+4-4.111860-1680027506 2572 3.164470+4-4.815880-1 3.478140+4-7.380520-1 3.778610+4-9.715890-1680027506 2573 4.000000+4-1.175540+0 4.239490+4-1.388160+0 4.572820+4-1.743710+0680027506 2574 4.826290+4-2.074530+0 4.984200+4-2.324800+0 5.263490+4-2.935210+0680027506 2575 5.388800+4-3.335630+0 5.537020+4-4.083290+0 5.591850+4-4.533060+0680027506 2576 5.630640+4-4.998860+0 5.647400+4-5.267010+0 5.661960+4-5.542660+0680027506 2577 5.673340+4-5.785170+0 5.685680+4-6.069790+0 5.692260+4-6.227690+0680027506 2578 5.700150+4-6.416570+0 5.710230+4-6.647440+0 5.721280+4-6.874840+0680027506 2579 5.733700+4-7.075430+0 5.755390+4-7.205540+0 5.777070+4-7.047010+0680027506 2580 5.801430+4-6.594110+0 5.817030+4-6.183270+0 5.847040+4-5.453470+0680027506 2581 5.861340+4-5.101580+0 5.904190+4-4.390190+0 5.984530+4-3.597150+0680027506 2582 6.060050+4-3.087840+0 6.177850+4-2.490790+0 6.272390+4-2.124610+0680027506 2583 6.412680+4-1.692240+0 6.546910+4-1.372420+0 6.681050+4-1.118270+0680027506 2584 6.820750+4-9.092510-1 7.198390+4-4.443030-1 7.390810+4-2.545610-1680027506 2585 7.485800+4-1.777490-1 7.760600+4-2.496610-2 7.794379+4-5.827880-3680027506 2586 7.895870+4 5.217060-2 8.053010+4 1.337650-1 8.131579+4 1.673350-1680027506 2587 8.662850+4 3.296530-1 8.740920+4 3.464080-1 8.881179+4 3.653340-1680027506 2588 9.264710+4 4.469610-1 9.439590+4 4.727770-1 9.594100+4 4.794600-1680027506 2589 1.012610+5 5.432850-1 1.025910+5 5.505540-1 1.039950+5 5.494100-1680027506 2590 1.095340+5 5.802640-1 1.129770+5 5.797350-1 1.182970+5 5.919770-1680027506 2591 1.236500+5 5.884270-1 1.283370+5 5.940100-1 1.655920+5 5.001460-1680027506 2592 1.896570+5 4.316060-1 2.220390+5 3.539980-1 2.550860+5 2.878240-1680027506 2593 2.791140+5 2.506330-1 3.054430+5 2.169600-1 3.294280+5 1.904330-1680027506 2594 3.782110+5 1.472790-1 4.113140+5 1.223170-1 4.589650+5 9.666150-2680027506 2595 5.028810+5 7.836340-2 5.636470+5 5.696120-2 6.388780+5 3.951890-2680027506 2596 7.093720+5 2.770170-2 7.787120+5 1.819620-2 8.687590+5 9.008390-3680027506 2597 9.197270+5 5.296150-3 9.739940+5 1.534170-3 1.000000+6 0.000000+0680027506 2598 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0680027506 2599 680027 0 2600 6800 0 0 2601 0 0 0 2602 6.900000+4 1.674830+2 -1 0 0 16900 1451 1 0.000000+0 0.000000+0 0 0 0 66900 1451 2 0.000000+0 0.000000+0 0 0 3 66900 1451 3 0.000000+0 0.000000+0 0 0 131 326900 1451 4 69-TM- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 6900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 6900 1451 6 ----ENDF/B-VI MATERIAL 6900 6900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6900 1451 8 ------ENDF-6 FORMAT 6900 1451 9 =================================================================6900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 6900 1451 11 ENDF/B-VI FORMAT 6900 1451 12 =================================================================6900 1451 13 CONTENTS 6900 1451 14 =================================================================6900 1451 15 MF/MT DESCRIPTION 6900 1451 16 =================================================================6900 1451 17 23/501 TOTAL CROSS SECTION 6900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 6900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 6900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 6900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 6900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 6900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 6900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 6900 1451 44 =================================================================6900 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 6900 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 6900 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 6900 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 6900 1451 49 =================================================================6900 1451 50 WARNING 6900 1451 51 =================================================================6900 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 6900 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 6900 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 6900 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 6900 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 6900 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 6900 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 6900 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 6900 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 6900 1451 61 =================================================================6900 1451 62 DEFINITION OF NEW TYPES OF DATA 6900 1451 63 =================================================================6900 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 6900 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 6900 1451 66 6900 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 6900 1451 68 C2 FIELDS ARE, 6900 1451 69 6900 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 6900 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 6900 1451 72 6900 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 6900 1451 74 6900 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6900 1451 76 6900 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 6900 1451 78 T = THE THOMSON CROSS SECTION 6900 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 6900 1451 80 FF(M) = THE ATOMIC FORM FACTOR 6900 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 6900 1451 82 F1(E) = THE REAL SCATTERING FACTOR 6900 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 6900 1451 84 6900 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 6900 1451 86 6900 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 6900 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 6900 1451 89 =================================================================6900 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 6900 1451 91 =================================================================6900 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 6900 1451 93 HERE - 10 EV TO 100 MEV 6900 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION6900 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 6900 1451 96 HERE - PHOTON INTERACTION 6900 1451 97 - AVERAGE FLUORESCENCE YIELD 6900 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 6900 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)6900 1451 100 HERE - NO SECONDARY ENERGY DATA 6900 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 6900 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 6900 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 6900 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 6900 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6900 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 6900 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 6900 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 6900 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 6900 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 6900 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 6900 1451 112 =================================================================6900 1451 113 REFERENCES 6900 1451 114 =================================================================6900 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 6900 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 6900 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 6900 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),6900 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 6900 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 6900 1451 121 6900 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 6900 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 6900 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 6900 1451 125 OF THE DATA, ETC. 6900 1451 126 =================================================================6900 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************6900 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 6900 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 6900 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************6900 1451 131 *RECONSTRUCTED MT NUMBERS 6900 1451 132 516 =+(515,515)+(517,517) 6900 1451 133 522 =+(534,572) 6900 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 6900 1451 135 1 451 167 16900 1451 136 23 501 526 16900 1451 137 23 502 88 16900 1451 138 23 504 24 16900 1451 139 23 515 17 16900 1451 140 23 516 36 16900 1451 141 23 517 23 16900 1451 142 23 522 409 16900 1451 143 23 534 28 16900 1451 144 23 535 34 16900 1451 145 23 536 38 16900 1451 146 23 537 39 16900 1451 147 23 538 38 16900 1451 148 23 539 42 16900 1451 149 23 540 43 16900 1451 150 23 541 52 16900 1451 151 23 542 54 16900 1451 152 23 543 41 16900 1451 153 23 544 45 16900 1451 154 23 545 46 16900 1451 155 23 546 58 16900 1451 156 23 547 59 16900 1451 157 23 548 71 16900 1451 158 23 549 70 16900 1451 159 23 550 47 16900 1451 160 23 551 56 16900 1451 161 23 552 58 16900 1451 162 23 559 52 16900 1451 163 27 502 51 16900 1451 164 27 504 47 16900 1451 165 27 505 68 16900 1451 166 27 506 113 16900 1451 167 6900 1 0 168 6900 0 0 169 6.900000+4 1.674830+2 0 0 0 0690023501 170 0.000000+0 0.000000+0 0 0 1 1568690023501 171 1568 2 0 0 0 0690023501 172 1.000000+1 1.452390+6 1.040620+1 1.321370+6 1.042570+1 1.315080+6690023501 173 1.090650+1 1.176770+6 1.098460+1 1.154310+6 1.098710+1 1.153590+6690023501 174 1.103000+1 1.142430+6 1.103000+1 1.912520+6 1.118310+1 1.857310+6690023501 175 1.125000+1 1.833180+6 1.148010+1 1.769540+6 1.172640+1 1.706400+6690023501 176 1.205520+1 1.622120+6 1.215980+1 1.597070+6 1.229350+1 1.570940+6690023501 177 1.229830+1 1.570000+6 1.252050+1 1.526570+6 1.270330+1 1.499740+6690023501 178 1.285390+1 1.479540+6 1.331640+1 1.417480+6 1.379560+1 1.357540+6690023501 179 1.394920+1 1.338330+6 1.395910+1 1.337400+6 1.423310+1 1.314330+6690023501 180 1.453620+1 1.292410+6 1.462310+1 1.286130+6 1.473270+1 1.278210+6690023501 181 1.473380+1 1.278130+6 1.500000+1 1.260370+6 1.537550+1 1.245850+6690023501 182 1.554920+1 1.239770+6 1.615480+1 1.231780+6 1.655920+1 1.227200+6690023501 183 1.668030+1 1.229000+6 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6.565700+5690023548 1934 1.423310+1 5.394310+5 1.500000+1 5.052280+5 1.655920+1 4.794560+5690023548 1935 1.844550+1 4.920170+5 2.000000+1 5.219280+5 2.370000+1 6.309320+5690023548 1936 3.013000+1 9.165160+5 3.726450+1 1.296170+6 4.000000+1 1.454910+6690023548 1937 5.000000+1 1.949200+6 6.000000+1 2.356350+6 7.000000+1 2.685320+6690023548 1938 8.000000+1 2.923250+6 9.486830+1 3.105650+6 1.224740+2 3.171320+6690023548 1939 1.500000+2 3.035510+6 1.906900+2 2.673030+6 2.300850+2 2.257690+6690023548 1940 2.851740+2 1.758590+6 3.334460+2 1.388930+6 3.917820+2 1.048530+6690023548 1941 4.378010+2 8.420120+5 4.938360+2 6.486680+5 5.443360+2 5.170420+5690023548 1942 6.000000+2 4.121250+5 6.480740+2 3.374430+5 7.000000+2 2.762950+5690023548 1943 7.631620+2 2.166390+5 8.094630+2 1.835320+5 8.687480+2 1.504110+5690023548 1944 9.486830+2 1.163150+5 1.025670+3 9.161900+4 1.099690+3 7.330360+4690023548 1945 1.182690+3 5.807650+4 1.255090+3 4.801920+4 1.337590+3 3.916790+4690023548 1946 1.443780+3 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1.210250+4 6.764820+0690023548 1959 1.258820+4 5.667340+0 1.315210+4 4.653360+0 1.378440+4 3.767380+0690023548 1960 1.458330+4 2.923920+0 1.527210+4 2.371090+0 1.604630+4 1.888000+0690023548 1961 1.695460+4 1.464910+0 1.794520+4 1.127660+0 1.865360+4 9.434090-1690023548 1962 1.954080+4 7.616000-1 2.051330+4 6.074020-1 2.151150+4 4.857580-1690023548 1963 2.242480+4 3.994800-1 2.365370+4 3.108200-1 2.436700+4 2.702850-1690023548 1964 2.566740+4 2.116520-1 2.708120+4 1.644760-1 2.808950+4 1.384940-1690023548 1965 2.934910+4 1.126740-1 3.065690+4 9.158510-2 3.197090+4 7.486090-2690023548 1966 3.325390+4 6.196670-2 3.512470+4 4.763770-2 3.689430+4 3.761760-2690023548 1967 3.859630+4 3.028920-2 4.071440+4 2.343210-2 4.273640+4 1.856410-2690023548 1968 4.458790+4 1.514180-2 4.708200+4 1.165760-2 4.853080+4 1.007790-2690023548 1969 5.117420+4 7.810970-3 5.405100+4 6.005940-3 5.610470+4 5.020750-3690023548 1970 5.867240+4 4.049440-3 6.096550+4 3.369970-3 6.382870+4 2.707180-3690023548 1971 6.564510+4 2.367910-3 6.919140+4 1.842180-3 7.245120+4 1.478860-3690023548 1972 7.542929+4 1.220250-3 7.934950+4 9.581840-4 8.278679+4 7.826510-4690023548 1973 8.679020+4 6.247420-4 8.991940+4 5.275950-4 9.482579+4 4.094490-4690023548 1974 1.000000+5 3.177600-4 1.051990+5 2.510290-4 1.099690+5 2.042420-4690023548 1975 1.162780+5 1.575690-4 1.218350+5 1.268140-4 1.283370+5 9.957470-5690023548 1976 1.354060+5 7.759760-5 1.404470+5 6.546460-5 1.467460+5 5.338230-5690023548 1977 1.527210+5 4.447050-5 1.604630+5 3.562600-5 1.695460+5 2.783030-5690023548 1978 1.794520+5 2.157340-5 1.865360+5 1.813470-5 1.954080+5 1.472370-5690023548 1979 2.038380+5 1.222370-5 2.147750+5 9.758570-6 2.276470+5 7.593710-6690023548 1980 2.417300+5 5.862970-6 2.518290+5 4.915010-6 2.645050+5 3.977530-6690023548 1981 2.780380+5 3.219670-6 2.924930+5 2.606870-6 3.054430+5 2.182250-6690023548 1982 3.209250+5 1.789120-6 3.390920+5 1.434080-6 3.597000+5 1.131480-6690023548 1983 3.793150+5 9.141330-7 4.000000+5 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8.21367-10690023548 1996 1.349070+7 6.81496-10 1.600000+7 5.60947-10 1.897370+7 4.63467-10690023548 1997 2.200000+7 3.93500-10 2.600000+7 3.28012-10 3.000000+7 2.81104-10690023548 1998 3.464100+7 2.41232-10 4.000000+7 2.07015-10 4.728710+7 1.73656-10690023548 1999 5.477230+7 1.48940-10 6.447420+7 1.25743-10 7.444840+7 1.08370-10690023548 2000 8.944271+7 8.97239-11 1.000000+8 8.00189-11 0.000000+0 0.000000+0690023548 2001 690023 0 2002 6.900000+4 1.674830+2 0 0 0 0690023549 2003 9.740000+0 0.000000+0 0 0 1 199690023549 2004 199 2 0 0 0 0690023549 2005 1.000000+1 1.081500+6 1.125000+1 8.675770+5 1.252050+1 7.569020+5690023549 2006 1.394920+1 7.020270+5 1.554920+1 6.911490+5 1.725630+1 7.167850+5690023549 2007 2.000000+1 8.096390+5 2.348320+1 9.902840+5 2.919260+1 1.386910+6690023549 2008 3.629000+1 1.942390+6 4.550780+1 2.599790+6 6.000000+1 3.395280+6690023549 2009 7.483320+1 3.955470+6 9.000000+1 4.239830+6 1.143200+2 4.316820+6690023549 2010 1.404920+2 4.156950+6 2.151150+2 3.196350+6 2.497250+2 2.716520+6690023549 2011 3.068230+2 2.059300+6 3.595660+2 1.582770+6 4.229490+2 1.164360+6690023549 2012 4.598630+2 9.753770+5 5.233180+2 7.323850+5 5.732660+2 5.884410+5690023549 2013 6.340690+2 4.556480+5 6.888350+2 3.658450+5 7.483310+2 2.937410+5690023549 2014 8.045820+2 2.378140+5 8.495280+2 2.029750+5 9.216980+2 1.600480+5690023549 2015 1.000000+3 1.262000+5 1.062420+3 1.041470+5 1.111770+3 9.017460+4690023549 2016 1.190140+3 7.265130+4 1.274030+3 5.853320+4 1.361570+3 4.701650+4690023549 2017 1.431140+3 3.989210+4 1.542230+3 3.117750+4 1.661940+3 2.436660+4690023549 2018 1.761030+3 1.980890+4 1.848500+3 1.665670+4 1.951020+3 1.373290+4690023549 2019 2.067190+3 1.116740+4 2.215760+3 8.713151+3 2.347260+3 7.061380+3690023549 2020 2.500180+3 5.572430+3 2.670470+3 4.351820+3 2.818110+3 3.556170+3690023549 2021 2.985370+3 2.864380+3 3.144370+3 2.357620+3 3.371660+3 1.807210+3690023549 2022 3.541790+3 1.485960+3 3.741380+3 1.194930+3 3.967720+3 9.460640+2690023549 2023 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9.980760+3-1.432700+1 1.003950+4-1.422620+1690027506 2527 1.009500+4-1.382120+1 1.015400+4-1.311410+1 1.019920+4-1.242380+1690027506 2528 1.026130+4-1.152010+1 1.034180+4-1.061750+1 1.044310+4-9.712780+0690027506 2529 1.067330+4-8.196820+0 1.090850+4-7.089400+0 1.102630+4-6.606390+0690027506 2530 1.147620+4-5.174370+0 1.168310+4-4.613100+0 1.203120+4-3.912780+0690027506 2531 1.234850+4-3.398320+0 1.275540+4-2.793680+0 1.317840+4-2.326200+0690027506 2532 1.333440+4-2.187980+0 1.378440+4-1.765300+0 1.424630+4-1.388790+0690027506 2533 1.463820+4-1.136160+0 1.490480+4-9.508430-1 1.521600+4-7.600760-1690027506 2534 1.542470+4-6.652920-1 1.557640+4-6.065910-1 1.569680+4-5.666990-1690027506 2535 1.615700+4-3.957520-1 1.631460+4-3.445420-1 1.663760+4-2.597840-1690027506 2536 1.679910+4-2.207130-1 1.714410+4-1.547650-1 1.749570+4-7.688500-2690027506 2537 1.774910+4-3.246480-2 1.798500+4 8.082980-3 1.799120+4 9.170990-3690027506 2538 1.803630+4 1.548830-2 1.810760+4 2.469490-2 1.846890+4 5.695630-2690027506 2539 1.896570+4 1.050360-1 1.948870+4 1.584320-1 1.957360+4 1.646410-1690027506 2540 2.103980+4 1.800070-1 2.160020+4 1.885280-1 2.186690+4 1.860780-1690027506 2541 2.247480+4 1.610420-1 2.330480+4 1.414640-1 2.403910+4 1.163960-1690027506 2542 2.430590+4 1.026410-1 2.489320+4 6.188950-2 2.499060+4 5.686220-2690027506 2543 2.539660+4 3.176340-2 2.566740+4 1.342410-2 2.631750+4-2.966890-2690027506 2544 2.657630+4-4.624160-2 2.688050+4-6.833600-2 2.699710+4-7.630470-2690027506 2545 2.730670+4-1.027580-1 2.762420+4-1.256670-1 2.853300+4-1.846580-1690027506 2546 2.963810+4-2.530650-1 3.048270+4-3.150930-1 3.143930+4-3.836480-1690027506 2547 3.208850+4-4.331890-1 3.325390+4-5.147780-1 3.411810+4-5.833680-1690027506 2548 3.545560+4-6.963570-1 3.862150+4-9.381210-1 4.018330+4-1.068470+0690027506 2549 4.314830+4-1.321380+0 4.716500+4-1.723000+0 4.983490+4-2.059580+0690027506 2550 5.148980+4-2.313380+0 5.437800+4-2.922820+0 5.567940+4-3.324310+0690027506 2551 5.721100+4-4.072220+0 5.778410+4-4.528070+0 5.818340+4-4.993480+0690027506 2552 5.835580+4-5.261420+0 5.850570+4-5.536780+0 5.862290+4-5.778680+0690027506 2553 5.874980+4-6.062080+0 5.881760+4-6.219030+0 5.889880+4-6.406450+0690027506 2554 5.900250+4-6.634910+0 5.911630+4-6.858860+0 5.924410+4-7.053040+0690027506 2555 5.952900+4-7.151840+0 5.976520+4-6.926110+0 6.000000+4-6.421520+0690027506 2556 6.025310+4-5.814320+0 6.041330+4-5.416030+0 6.069360+4-4.850780+0690027506 2557 6.106590+4-4.304240+0 6.176390+4-3.633810+0 6.246270+4-3.160590+0690027506 2558 6.353640+4-2.606890+0 6.504700+4-2.033010+0 6.665040+4-1.609910+0690027506 2559 6.852970+4-1.231670+0 7.134860+4-7.664630-1 7.284900+4-5.742790-1690027506 2560 7.416760+4-4.415280-1 7.675740+4-2.228250-1 7.805229+4-1.265420-1690027506 2561 8.035390+4-9.214530-3 8.087250+4 1.713000-2 8.269470+4 1.104070-1690027506 2562 8.445400+4 1.872520-1 8.520540+4 2.138470-1 8.684120+4 2.453400-1690027506 2563 9.103570+4 3.556560-1 9.208429+4 3.729130-1 9.290170+4 3.757540-1690027506 2564 9.880970+4 4.687330-1 1.009980+5 4.788470-1 1.067890+5 5.285470-1690027506 2565 1.078450+5 5.263360-1 1.162780+5 5.796050-1 1.255090+5 5.884390-1690027506 2566 1.391330+5 5.728790-1 2.002750+5 4.167040-1 2.528320+5 3.031780-1690027506 2567 2.680820+5 2.759020-1 3.109840+5 2.170080-1 3.402370+5 1.861470-1690027506 2568 3.883760+5 1.443140-1 4.248650+5 1.195560-1 4.648140+5 9.832300-2690027506 2569 5.051610+5 8.072590-2 5.635960+5 5.929660-2 6.437800+5 4.024320-2690027506 2570 7.085680+5 2.892180-2 7.798130+5 1.880720-2 8.687590+5 9.401000-3690027506 2571 9.197270+5 5.491360-3 9.733990+5 1.629580-3 1.000000+6 0.000000+0690027506 2572 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0690027506 2573 690027 0 2574 6900 0 0 2575 0 0 0 2576 7.000000+4 1.715540+2 -1 0 0 17000 1451 1 0.000000+0 0.000000+0 0 0 0 67000 1451 2 0.000000+0 0.000000+0 0 0 3 67000 1451 3 0.000000+0 0.000000+0 0 0 131 327000 1451 4 70-YB- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7000 1451 6 ----ENDF/B-VI MATERIAL 7000 7000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7000 1451 8 ------ENDF-6 FORMAT 7000 1451 9 =================================================================7000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7000 1451 11 ENDF/B-VI FORMAT 7000 1451 12 =================================================================7000 1451 13 CONTENTS 7000 1451 14 =================================================================7000 1451 15 MF/MT DESCRIPTION 7000 1451 16 =================================================================7000 1451 17 23/501 TOTAL CROSS SECTION 7000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 43 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7000 1451 44 =================================================================7000 1451 45 27/502 COHERENT SCATTERING FORM FACTORS 7000 1451 46 27/504 INCOHERENT SCATTERING FUNCTIONS 7000 1451 47 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7000 1451 48 27/506 COHERENT REAL SCATTERING FACTOR 7000 1451 49 =================================================================7000 1451 50 WARNING 7000 1451 51 =================================================================7000 1451 52 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7000 1451 53 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7000 1451 54 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7000 1451 55 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7000 1451 56 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7000 1451 57 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7000 1451 58 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7000 1451 59 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7000 1451 60 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7000 1451 61 =================================================================7000 1451 62 DEFINITION OF NEW TYPES OF DATA 7000 1451 63 =================================================================7000 1451 64 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7000 1451 65 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7000 1451 66 7000 1451 67 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7000 1451 68 C2 FIELDS ARE, 7000 1451 69 7000 1451 70 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7000 1451 71 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7000 1451 72 7000 1451 73 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7000 1451 74 7000 1451 75 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7000 1451 76 7000 1451 77 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7000 1451 78 T = THE THOMSON CROSS SECTION 7000 1451 79 MU = THE COSINE OF THE SCATTERING ANGLE 7000 1451 80 FF(M) = THE ATOMIC FORM FACTOR 7000 1451 81 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7000 1451 82 F1(E) = THE REAL SCATTERING FACTOR 7000 1451 83 F2(E) = THE IMAGINARY SCATTERING FACTOR 7000 1451 84 7000 1451 85 F1(E) AND F2(E) ARE ISOTROPIC. 7000 1451 86 7000 1451 87 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7000 1451 88 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7000 1451 89 =================================================================7000 1451 90 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7000 1451 91 =================================================================7000 1451 92 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7000 1451 93 HERE - 10 EV TO 100 MEV 7000 1451 94 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7000 1451 95 - FLUORESCENCE AND ELECTRON SPECTRA 7000 1451 96 HERE - PHOTON INTERACTION 7000 1451 97 - AVERAGE FLUORESCENCE YIELD 7000 1451 98 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7000 1451 99 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7000 1451 100 HERE - NO SECONDARY ENERGY DATA 7000 1451 101 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7000 1451 102 INTERPOLABLE - SUMMATION CROSS SECTIONS 7000 1451 103 (E.G., TOTAL) ARE NOT INCLUDED 7000 1451 104 - FORM FACTORS ARE LOG X VS. LOG Y 7000 1451 105 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7000 1451 106 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7000 1451 107 ORDER TO ALLOW CROSS SECTIONS DEFINED 7000 1451 108 BY SUMMATION (E.G., TOTAL) TO BE 7000 1451 109 CONSISTENTLY DEFINED AT ALL ENERGIES. 7000 1451 110 - FORM FACTORS ARE LOG X VS. LOG Y 7000 1451 111 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7000 1451 112 =================================================================7000 1451 113 REFERENCES 7000 1451 114 =================================================================7000 1451 115 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7000 1451 116 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7000 1451 117 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7000 1451 118 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7000 1451 119 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7000 1451 120 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7000 1451 121 7000 1451 122 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7000 1451 123 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7000 1451 124 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7000 1451 125 OF THE DATA, ETC. 7000 1451 126 =================================================================7000 1451 127 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7000 1451 128 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7000 1451 129 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7000 1451 130 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7000 1451 131 *RECONSTRUCTED MT NUMBERS 7000 1451 132 516 =+(515,515)+(517,517) 7000 1451 133 522 =+(534,572) 7000 1451 134 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7000 1451 135 1 451 167 17000 1451 136 23 501 508 17000 1451 137 23 502 88 17000 1451 138 23 504 24 17000 1451 139 23 515 17 17000 1451 140 23 516 36 17000 1451 141 23 517 23 17000 1451 142 23 522 392 17000 1451 143 23 534 27 17000 1451 144 23 535 34 17000 1451 145 23 536 37 17000 1451 146 23 537 39 17000 1451 147 23 538 37 17000 1451 148 23 539 41 17000 1451 149 23 540 43 17000 1451 150 23 541 52 17000 1451 151 23 542 54 17000 1451 152 23 543 41 17000 1451 153 23 544 44 17000 1451 154 23 545 46 17000 1451 155 23 546 58 17000 1451 156 23 547 59 17000 1451 157 23 548 70 17000 1451 158 23 549 69 17000 1451 159 23 550 47 17000 1451 160 23 551 56 17000 1451 161 23 552 58 17000 1451 162 23 559 53 17000 1451 163 27 502 53 17000 1451 164 27 504 49 17000 1451 165 27 505 67 17000 1451 166 27 506 111 17000 1451 167 7000 1 0 168 7000 0 0 169 7.000000+4 1.715540+2 0 0 0 0700023501 170 0.000000+0 0.000000+0 0 0 1 1515700023501 171 1515 2 0 0 0 0700023501 172 1.000000+1 1.638220+6 1.056920+1 1.426490+6 1.062020+1 1.407520+6700023501 173 1.096720+1 1.293320+6 1.099910+1 1.283940+6 1.109000+1 1.257220+6700023501 174 1.109000+1 2.134910+6 1.116870+1 2.102590+6 1.127130+1 2.063580+6700023501 175 1.131000+1 2.048860+6 1.154780+1 1.975600+6 1.181300+1 1.893890+6700023501 176 1.218810+1 1.787370+6 1.237070+1 1.740270+6 1.251640+1 1.702690+6700023501 177 1.256240+1 1.691540+6 1.301980+1 1.605520+6 1.339490+1 1.538960+6700023501 178 1.349020+1 1.525380+6 1.365080+1 1.502510+6 1.396800+1 1.460310+6700023501 179 1.407860+1 1.449430+6 1.408030+1 1.449270+6 1.422650+1 1.434880+6700023501 180 1.443700+1 1.415770+6 1.486730+1 1.376700+6 1.500000+1 1.364660+6700023501 181 1.508730+1 1.360140+6 1.554920+1 1.336280+6 1.597430+1 1.324220+6700023501 182 1.611850+1 1.320700+6 1.688590+1 1.317820+6 1.701190+1 1.317350+6700023501 183 1.725630+1 1.317440+6 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1.099690+5 2.647670-4700023548 1934 1.162780+5 2.043810-4 1.218350+5 1.645690-4 1.283370+5 1.292890-4700023548 1935 1.354060+5 1.008100-4 1.404470+5 8.507940-5 1.467460+5 6.940830-5700023548 1936 1.527210+5 5.784250-5 1.604630+5 4.635650-5 1.695460+5 3.622850-5700023548 1937 1.794520+5 2.809600-5 1.865360+5 2.362480-5 1.954080+5 1.918830-5700023548 1938 2.038380+5 1.593460-5 2.147750+5 1.272420-5 2.276470+5 9.904240-6700023548 1939 2.417300+5 7.649090-6 2.518290+5 6.413600-6 2.645050+5 5.191490-6700023548 1940 2.780380+5 4.203480-6 2.924930+5 3.404500-6 3.054430+5 2.850740-6700023548 1941 3.209250+5 2.337970-6 3.390920+5 1.874710-6 3.597000+5 1.479710-6700023548 1942 3.793150+5 1.195900-6 4.000000+5 9.665300-7 4.229490+5 7.823810-7700023548 1943 4.410200+5 6.676830-7 4.695850+5 5.263790-7 5.000000+5 4.149800-7700023548 1944 5.370760+5 3.245040-7 5.702110+5 2.641360-7 6.095240+5 2.100280-7700023548 1945 6.529060+5 1.658110-7 6.842410+5 1.411290-7 7.238360+5 1.163110-7700023548 1946 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1.64854-10 7.444840+7 1.42069-10700023548 1959 8.944271+7 1.17627-10 1.000000+8 1.04909-10 0.000000+0 0.000000+0700023548 1960 700023 0 1961 7.000000+4 1.715540+2 0 0 0 0700023549 1962 9.670000+0 0.000000+0 0 0 1 198700023549 1963 198 2 0 0 0 0700023549 1964 1.000000+1 1.212320+6 1.096720+1 1.010230+6 1.131000+1 9.506540+5700023549 1965 1.256240+1 8.233150+5 1.396800+1 7.568810+5 1.554920+1 7.369360+5700023549 1966 1.725630+1 7.551830+5 2.000000+1 8.370240+5 2.324110+1 9.880200+5700023549 1967 2.896950+1 1.365020+6 4.000000+1 2.197390+6 5.000000+1 2.844760+6700023549 1968 6.539880+1 3.609220+6 8.000000+1 4.093890+6 1.000000+2 4.373170+6700023549 1969 1.223530+2 4.406180+6 1.500000+2 4.225130+6 2.286410+2 3.238660+6700023549 1970 2.905580+2 2.446110+6 3.236730+2 2.096220+6 3.771930+2 1.628750+6700023549 1971 4.359440+2 1.243360+6 4.776650+2 1.028520+6 5.233180+2 8.408930+5700023549 1972 5.732660+2 6.794870+5 6.340690+2 5.291960+5 6.888350+2 4.267650+5700023549 1973 7.483310+2 3.441610+5 7.993010+2 2.850500+5 8.397950+2 2.474800+5700023549 1974 9.044130+2 2.002020+5 9.740040+2 1.619560+5 1.054950+3 1.263980+5700023549 1975 1.113960+3 1.067430+5 1.189150+3 8.714760+4 1.268770+3 7.086790+4700023549 1976 1.342210+3 5.893340+4 1.425610+3 4.836740+4 1.532550+3 3.815770+4700023549 1977 1.652690+3 2.954670+4 1.770340+3 2.323950+4 1.900460+3 1.814210+4700023549 1978 1.994610+3 1.532380+4 2.113780+3 1.251350+4 2.265120+3 9.750531+3700023549 1979 2.419310+3 7.646120+3 2.552990+3 6.269190+3 2.704430+3 5.067840+3700023549 1980 2.848380+3 4.184790+3 3.054430+3 3.223300+3 3.209250+3 2.661880+3700023549 1981 3.390920+3 2.150950+3 3.597000+3 1.711830+3 3.793150+3 1.393830+3700023549 1982 4.000000+3 1.134900+3 4.245960+3 8.882700+2 4.473550+3 7.168600+2700023549 1983 4.777210+3 5.474170+2 5.047150+3 4.368150+2 5.365760+3 3.397330+2700023549 1984 5.715410+3 2.621600+2 5.966770+3 2.196920+2 6.283050+3 1.777090+2700023549 1985 6.721540+3 1.337040+2 7.082940+3 1.068180+2 7.400320+3 8.852000+1700023549 1986 7.770520+3 7.180680+1 8.187741+3 5.738510+1 8.582361+3 4.689960+1700023549 1987 8.996000+3 3.833000+1 9.461201+3 3.060150+1 9.825831+3 2.584620+1700023549 1988 1.039930+4 2.006210+1 1.100620+4 1.557240+1 1.154380+4 1.255500+1700023549 1989 1.225740+4 9.575560+0 1.288850+4 7.632970+0 1.362960+4 5.929700+0700023549 1990 1.443850+4 4.570310+0 1.501740+4 3.826840+0 1.574280+4 3.092530+0700023549 1991 1.670360+4 2.351530+0 1.754430+4 1.867440+0 1.835280+4 1.511450+0700023549 1992 1.935890+4 1.176490+0 2.031930+4 9.372800-1 2.119870+4 7.682310-1700023549 1993 2.238320+4 5.951700-1 2.307120+4 5.163170-1 2.432660+4 4.026240-1700023549 1994 2.569270+4 3.115350-1 2.666790+4 2.615520-1 2.788710+4 2.120400-1700023549 1995 2.918800+4 1.706210-1 3.053260+4 1.372300-1 3.184940+4 1.118860-1700023549 1996 3.313530+4 9.239480-2 3.501110+4 7.079510-2 3.678590+4 5.573820-2700023549 1997 3.849340+4 4.475740-2 3.957620+4 3.913860-2 4.168920+4 3.043460-2700023549 1998 4.363040+4 2.442210-2 4.540300+4 2.014410-2 4.773520+4 1.581070-2700023549 1999 4.977900+4 1.290940-2 5.215820+4 1.030040-2 5.401690+4 8.695920-3700023549 2000 5.692990+4 6.745410-3 6.000000+4 5.232400-3 6.248850+4 4.304580-3700023549 2001 6.608480+4 3.290080-3 6.956640+4 2.571020-3 7.284900+4 2.060290-3700023549 2002 7.599700+4 1.681430-3 8.003190+4 1.311500-3 8.373779+4 1.055220-3700023549 2003 8.864379+4 8.027440-4 9.297020+4 6.385200-4 9.803720+4 4.948530-4700023549 2004 1.035520+5 3.804680-4 1.074890+5 3.180410-4 1.124110+5 2.564970-4700023549 2005 1.174100+5 2.088120-4 1.244330+5 1.594170-4 1.303560+5 1.284420-4700023549 2006 1.355290+5 1.071960-4 1.415320+5 8.764500-5 1.482600+5 7.063630-5700023549 2007 1.545870+5 5.817000-5 1.611850+5 4.790380-5 1.706370+5 3.716870-5700023549 2008 1.789720+5 3.005740-5 1.887350+5 2.372710-5 1.993610+5 1.859220-5700023549 2009 2.069470+5 1.574400-5 2.164320+5 1.289600-5 2.274670+5 1.039250-5700023549 2010 2.386070+5 8.482250-6 2.511480+5 6.823400-6 2.629990+5 5.609720-6700023549 2011 2.754080+5 4.611920-6 2.903540+5 3.726550-6 3.020930+5 3.175960-6700023549 2012 3.205980+5 2.498780-6 3.402370+5 1.965990-6 3.611430+5 1.566890-6700023549 2013 3.840490+5 1.239990-6 4.106970+5 9.606330-7 4.318900+5 7.932540-7700023549 2014 4.613590+5 6.285930-7 4.958060+5 4.876860-7 5.233180+5 4.031520-7700023549 2015 5.645070+5 3.166740-7 6.103820+5 2.468760-7 6.437800+5 2.083300-7700023549 2016 6.862780+5 1.699340-7 7.282320+5 1.417810-7 7.798130+5 1.162930-7700023549 2017 8.465560+5 9.168020-8 8.820400+5 8.140230-8 9.691080+5 6.354750-8700023549 2018 1.010940+6 5.724390-8 1.130270+6 4.598350-8 1.250000+6 3.775700-8700023549 2019 1.369310+6 3.189100-8 1.500000+6 2.693640-8 1.701190+6 2.163440-8700023549 2020 1.894980+6 1.792860-8 2.044000+6 1.573980-8 2.332190+6 1.277460-8700023549 2021 2.551640+6 1.107990-8 2.842410+6 9.340390-9 3.000000+6 8.575900-9700023549 2022 3.464100+6 6.953860-9 4.000000+6 5.638610-9 4.472140+6 4.835040-9700023549 2023 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5.784610-1 1.887350+5 4.481060-1700027506 2527 2.171360+5 3.785400-1 2.563070+5 3.032830-1 3.000000+5 2.390060-1700027506 2528 3.486430+5 1.823540-1 3.880460+5 1.492120-1 4.485840+5 1.103840-1700027506 2529 5.028790+5 8.347030-2 5.524000+5 6.545210-2 5.865390+5 5.499640-2700027506 2530 6.557920+5 3.966920-2 7.290070+5 2.568130-2 8.047410+5 1.627490-2700027506 2531 8.696620+5 9.353850-3 9.771900+5 1.378590-3 1.000000+6 0.000000+0700027506 2532 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0700027506 2533 700027 0 2534 7000 0 0 2535 0 0 0 2536 7.100000+4 1.734670+2 -1 0 0 17100 1451 1 0.000000+0 0.000000+0 0 0 0 67100 1451 2 0.000000+0 0.000000+0 0 0 3 67100 1451 3 0.000000+0 0.000000+0 0 0 133 347100 1451 4 71-LU- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7100 1451 6 ----ENDF/B-VI MATERIAL 7100 7100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7100 1451 8 ------ENDF-6 FORMAT 7100 1451 9 =================================================================7100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7100 1451 11 ENDF/B-VI FORMAT 7100 1451 12 =================================================================7100 1451 13 CONTENTS 7100 1451 14 =================================================================7100 1451 15 MF/MT DESCRIPTION 7100 1451 16 =================================================================7100 1451 17 23/501 TOTAL CROSS SECTION 7100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7100 1451 46 =================================================================7100 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7100 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7100 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7100 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7100 1451 51 =================================================================7100 1451 52 WARNING 7100 1451 53 =================================================================7100 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7100 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7100 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7100 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7100 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7100 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7100 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7100 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7100 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7100 1451 63 =================================================================7100 1451 64 DEFINITION OF NEW TYPES OF DATA 7100 1451 65 =================================================================7100 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7100 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7100 1451 68 7100 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7100 1451 70 C2 FIELDS ARE, 7100 1451 71 7100 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7100 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7100 1451 74 7100 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7100 1451 76 7100 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7100 1451 78 7100 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7100 1451 80 T = THE THOMSON CROSS SECTION 7100 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7100 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7100 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7100 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7100 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7100 1451 86 7100 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7100 1451 88 7100 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7100 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7100 1451 91 =================================================================7100 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7100 1451 93 =================================================================7100 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7100 1451 95 HERE - 10 EV TO 100 MEV 7100 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7100 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7100 1451 98 HERE - PHOTON INTERACTION 7100 1451 99 - AVERAGE FLUORESCENCE YIELD 7100 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7100 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7100 1451 102 HERE - NO SECONDARY ENERGY DATA 7100 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7100 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7100 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7100 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7100 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7100 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7100 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7100 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7100 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7100 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7100 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7100 1451 114 =================================================================7100 1451 115 REFERENCES 7100 1451 116 =================================================================7100 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7100 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7100 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7100 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7100 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7100 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7100 1451 123 7100 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7100 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7100 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7100 1451 127 OF THE DATA, ETC. 7100 1451 128 =================================================================7100 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7100 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7100 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7100 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7100 1451 133 *RECONSTRUCTED MT NUMBERS 7100 1451 134 516 =+(515,515)+(517,517) 7100 1451 135 522 =+(534,572) 7100 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7100 1451 137 1 451 171 17100 1451 138 23 501 551 17100 1451 139 23 502 84 17100 1451 140 23 504 24 17100 1451 141 23 515 17 17100 1451 142 23 516 37 17100 1451 143 23 517 23 17100 1451 144 23 522 437 17100 1451 145 23 534 27 17100 1451 146 23 535 33 17100 1451 147 23 536 37 17100 1451 148 23 537 39 17100 1451 149 23 538 37 17100 1451 150 23 539 41 17100 1451 151 23 540 43 17100 1451 152 23 541 52 17100 1451 153 23 542 54 17100 1451 154 23 543 42 17100 1451 155 23 544 43 17100 1451 156 23 545 46 17100 1451 157 23 546 55 17100 1451 158 23 547 59 17100 1451 159 23 548 69 17100 1451 160 23 549 69 17100 1451 161 23 550 46 17100 1451 162 23 551 55 17100 1451 163 23 552 56 17100 1451 164 23 553 65 17100 1451 165 23 554 66 17100 1451 166 23 559 53 17100 1451 167 27 502 50 17100 1451 168 27 504 47 17100 1451 169 27 505 65 17100 1451 170 27 506 106 17100 1451 171 7100 1 0 172 7100 0 0 173 7.100000+4 1.734670+2 0 0 0 0710023501 174 0.000000+0 0.000000+0 0 0 1 1642710023501 175 1642 2 0 0 0 0710023501 176 1.000000+1 7.795640+6 1.051990+1 7.506050+6 1.073870+1 7.399840+6710023501 177 1.099690+1 7.274490+6 1.162780+1 7.004200+6 1.166820+1 6.988680+6710023501 178 1.218350+1 6.790650+6 1.218810+1 6.789030+6 1.224740+1 6.768130+6710023501 179 1.250440+1 6.670190+6 1.283370+1 6.544700+6 1.354060+1 6.293420+6710023501 180 1.394860+1 6.155200+6 1.404470+1 6.122640+6 1.435620+1 6.020720+6710023501 181 1.467460+1 5.916550+6 1.500000+1 5.813720+6 1.531030+1 5.698050+6710023501 182 1.574180+1 5.541030+6 1.611450+1 5.405400+6 1.640000+1 5.303160+6710023501 183 1.687430+1 5.133300+6 1.706710+1 5.065090+6 1.724870+1 5.000830+6710023501 184 1.732000+1 4.975600+6 1.732000+1 5.884780+6 1.746480+1 5.824670+6710023501 185 1.767000+1 5.739490+6 1.768660+1 5.732700+6 1.872380+1 5.308310+6710023501 186 1.879890+1 5.277580+6 1.890830+1 5.235590+6 1.896000+1 5.215830+6710023501 187 1.896000+1 5.821920+6 1.919220+1 5.726850+6 1.934000+1 5.666330+6710023501 188 1.980960+1 5.475480+6 2.000000+1 5.398100+6 2.103980+1 5.007850+6710023501 189 2.152670+1 4.826340+6 2.185500+1 4.703950+6 2.236640+1 4.548240+6710023501 190 2.299120+1 4.370080+6 2.425300+1 4.031230+6 2.457260+1 3.945400+6710023501 191 2.464280+1 3.926600+6 2.528320+1 3.764580+6 2.528330+1 3.764550+6710023501 192 2.542960+1 3.736500+6 2.601950+1 3.623370+6 2.693020+1 3.448730+6710023501 193 2.715100+1 3.406390+6 2.735640+1 3.367100+6 2.754080+1 3.334310+6710023501 194 2.787270+1 3.291600+6 2.833730+1 3.231820+6 2.852100+1 3.209700+6710023501 195 2.895140+1 3.157880+6 2.906170+1 3.144600+6 2.965230+1 3.073490+6710023501 196 3.000000+1 3.031630+6 3.019420+1 3.012640+6 3.074590+1 2.958700+6710023501 197 3.115640+1 2.918570+6 3.120960+1 2.915050+6 3.159340+1 2.889660+6710023501 198 3.200990+1 2.862110+6 3.251700+1 2.828570+6 3.277350+1 2.811610+6710023501 199 3.292800+1 2.801390+6 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6.933540+0 3.465240+4 5.675300+0710023546 1883 3.706180+4 4.389170+0 3.847530+4 3.803980+0 4.107990+4 2.961320+0710023546 1884 4.395060+4 2.287360+0 4.602210+4 1.918080+0 4.863720+4 1.552770+0710023546 1885 5.221370+4 1.179870+0 5.542310+4 9.349280-1 5.854120+4 7.551840-1710023546 1886 6.053340+4 6.627640-1 6.445340+4 5.188700-1 6.809100+4 4.188380-1710023546 1887 7.144200+4 3.472640-1 7.589210+4 2.743410-1 7.982900+4 2.252230-1710023546 1888 8.445400+4 1.808000-1 8.970720+4 1.428790-1 9.471390+4 1.156010-1710023546 1889 1.000000+5 9.353100-2 1.051990+5 7.690200-2 1.121240+5 6.011760-2710023546 1890 1.182690+5 4.892160-2 1.255090+5 3.888920-2 1.334400+5 3.069320-2710023546 1891 1.391330+5 2.611920-2 1.462870+5 2.152100-2 1.554920+5 1.705630-2710023546 1892 1.655920+5 1.345120-2 1.766950+5 1.052970-2 1.846890+5 8.910620-3710023546 1893 1.947600+5 7.292860-3 2.051330+5 6.017410-3 2.199390+5 4.671500-3710023546 1894 2.286410+5 4.057260-3 2.447070+5 3.170230-3 2.624580+5 2.458110-3710023546 1895 2.752930+5 2.066650-3 2.915270+5 1.678290-3 3.000000+5 1.512400-3710023546 1896 3.223710+5 1.180650-3 3.471900+5 9.145620-4 3.651980+5 7.684130-4710023546 1897 3.880460+5 6.235230-4 4.113140+5 5.126190-4 4.410200+5 4.079240-4710023546 1898 4.695850+5 3.321120-4 5.000000+5 2.703900-4 5.233180+5 2.348370-4710023546 1899 5.603490+5 1.900780-4 6.000000+5 1.538500-4 6.447420+5 1.248040-4710023546 1900 6.804750+5 1.066790-4 7.378210+5 8.430460-5 8.000000+5 6.662300-5710023546 1901 8.458970+5 5.737880-5 9.197270+5 4.586090-5 1.000000+6 3.665500-5710023546 1902 1.074770+6 3.178480-5 1.188630+6 2.610190-5 1.308290+6 2.173600-5710023546 1903 1.433160+6 1.835450-5 1.554920+6 1.584270-5 1.701190+6 1.354690-5710023546 1904 1.894980+6 1.122670-5 2.044000+6 9.856070-6 2.332190+6 7.998050-6710023546 1905 2.551640+6 6.936330-6 2.842410+6 5.846610-6 3.000000+6 5.367740-6710023546 1906 3.464100+6 4.351560-6 4.000000+6 3.527760-6 4.472140+6 3.024540-6710023546 1907 5.000000+6 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6.856990+2 1.031050+4 5.669460+2710023547 1935 1.113880+4 4.375490+2 1.176350+4 3.620250+2 1.250040+4 2.931550+2710023547 1936 1.334130+4 2.338360+2 1.414640+4 1.907850+2 1.527210+4 1.458460+2710023547 1937 1.604630+4 1.219330+2 1.695460+4 9.988730+1 1.798500+4 8.067000+1710023547 1938 1.896570+4 6.655700+1 2.000000+4 5.491300+1 2.103980+4 4.537660+1710023547 1939 2.242480+4 3.569700+1 2.365370+4 2.920250+1 2.510180+4 2.335060+1710023547 1940 2.668810+4 1.854130+1 2.853300+4 1.441710+1 3.000000+4 1.193800+1710023547 1941 3.197810+4 9.300250+0 3.381560+4 7.475010+0 3.550980+4 6.174330+0710023547 1942 3.776190+4 4.854710+0 3.975620+4 3.969750+0 4.210140+4 3.172710+0710023547 1943 4.395060+4 2.681830+0 4.687780+4 2.084170+0 5.000000+4 1.619700+0710023547 1944 5.328480+4 1.255240+0 5.648840+4 9.934480-1 5.952900+4 8.052370-1710023547 1945 6.246270+4 6.640850-1 6.624730+4 5.246540-1 6.974640+4 4.268900-1710023547 1946 7.450910+4 3.276310-1 7.855460+4 2.650880-1 8.210890+4 2.220220-1710023547 1947 8.625670+4 1.822430-1 9.093350+4 1.474970-1 9.535910+4 1.219270-1710023547 1948 1.000000+5 1.007900-1 1.051990+5 8.248780-2 1.121240+5 6.410990-2710023547 1949 1.182690+5 5.191690-2 1.255090+5 4.104690-2 1.334400+5 3.221540-2710023547 1950 1.391330+5 2.731020-2 1.462870+5 2.239960-2 1.527210+5 1.893220-2710023547 1951 1.604630+5 1.565730-2 1.695460+5 1.267230-2 1.798500+5 1.010270-2710023547 1952 1.896570+5 8.238670-3 2.000000+5 6.718600-3 2.077490+5 5.839510-3710023547 1953 2.220390+5 4.568740-3 2.378050+5 3.547200-3 2.491930+5 2.985020-3710023547 1954 2.635790+5 2.426720-3 2.780380+5 1.999580-3 2.924930+5 1.669940-3710023547 1955 3.109840+5 1.350270-3 3.311840+5 1.089890-3 3.542840+5 8.663680-4710023547 1956 3.764490+5 7.046750-4 4.000000+5 5.731600-4 4.318900+5 4.491720-4710023547 1957 4.550780+5 3.803940-4 4.845540+5 3.116150-4 5.115260+5 2.637310-4710023547 1958 5.415170+5 2.229910-4 5.798350+5 1.823220-4 6.000000+5 1.648600-4710023547 1959 6.447420+5 1.353780-4 6.804750+5 1.167810-4 7.378210+5 9.356420-5710023547 1960 8.000000+5 7.496300-5 8.458970+5 6.535740-5 9.197270+5 5.320670-5710023547 1961 1.000000+6 4.331500-5 1.074770+6 3.755990-5 1.188630+6 3.084450-5710023547 1962 1.308290+6 2.568530-5 1.433160+6 2.168940-5 1.554920+6 1.872120-5710023547 1963 1.701190+6 1.600830-5 1.894980+6 1.326660-5 2.044000+6 1.164690-5710023547 1964 2.332190+6 9.451260-6 2.551640+6 8.196620-6 2.842410+6 6.908900-6710023547 1965 3.000000+6 6.343020-6 3.464100+6 5.142210-6 4.000000+6 4.168730-6710023547 1966 4.472140+6 3.574080-6 5.000000+6 3.064260-6 5.732660+6 2.557100-6710023547 1967 6.480740+6 2.180960-6 7.483310+6 1.816840-6 8.485280+6 1.554040-6710023547 1968 1.000000+7 1.273270-6 1.148910+7 1.080010-6 1.349070+7 8.958140-7710023547 1969 1.600000+7 7.371550-7 1.897370+7 6.089380-7 2.200000+7 5.169280-7710023547 1970 2.600000+7 4.307290-7 3.000000+7 3.691770-7 3.464100+7 3.167610-7710023547 1971 4.000000+7 2.717870-7 4.728710+7 2.278930-7 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9.739940+5 1.703130-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0710027506 2734 710027 0 2735 7100 0 0 2736 0 0 0 2737 7.200000+4 1.769570+2 -1 0 0 17200 1451 1 0.000000+0 0.000000+0 0 0 0 67200 1451 2 0.000000+0 0.000000+0 0 0 3 67200 1451 3 0.000000+0 0.000000+0 0 0 133 347200 1451 4 72-HF- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7200 1451 6 ----ENDF/B-VI MATERIAL 7200 7200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7200 1451 8 ------ENDF-6 FORMAT 7200 1451 9 =================================================================7200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7200 1451 11 ENDF/B-VI FORMAT 7200 1451 12 =================================================================7200 1451 13 CONTENTS 7200 1451 14 =================================================================7200 1451 15 MF/MT DESCRIPTION 7200 1451 16 =================================================================7200 1451 17 23/501 TOTAL CROSS SECTION 7200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7200 1451 46 =================================================================7200 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7200 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7200 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7200 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7200 1451 51 =================================================================7200 1451 52 WARNING 7200 1451 53 =================================================================7200 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7200 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7200 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7200 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7200 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7200 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7200 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7200 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7200 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7200 1451 63 =================================================================7200 1451 64 DEFINITION OF NEW TYPES OF DATA 7200 1451 65 =================================================================7200 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7200 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7200 1451 68 7200 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7200 1451 70 C2 FIELDS ARE, 7200 1451 71 7200 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7200 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7200 1451 74 7200 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7200 1451 76 7200 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7200 1451 78 7200 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7200 1451 80 T = THE THOMSON CROSS SECTION 7200 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7200 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7200 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7200 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7200 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7200 1451 86 7200 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7200 1451 88 7200 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7200 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7200 1451 91 =================================================================7200 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7200 1451 93 =================================================================7200 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7200 1451 95 HERE - 10 EV TO 100 MEV 7200 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7200 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7200 1451 98 HERE - PHOTON INTERACTION 7200 1451 99 - AVERAGE FLUORESCENCE YIELD 7200 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7200 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7200 1451 102 HERE - NO SECONDARY ENERGY DATA 7200 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7200 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7200 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7200 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7200 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7200 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7200 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7200 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7200 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7200 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7200 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7200 1451 114 =================================================================7200 1451 115 REFERENCES 7200 1451 116 =================================================================7200 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7200 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7200 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7200 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7200 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7200 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7200 1451 123 7200 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7200 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7200 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7200 1451 127 OF THE DATA, ETC. 7200 1451 128 =================================================================7200 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7200 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7200 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7200 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7200 1451 133 *RECONSTRUCTED MT NUMBERS 7200 1451 134 516 =+(515,515)+(517,517) 7200 1451 135 522 =+(534,572) 7200 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7200 1451 137 1 451 171 17200 1451 138 23 501 520 17200 1451 139 23 502 79 17200 1451 140 23 504 24 17200 1451 141 23 515 17 17200 1451 142 23 516 37 17200 1451 143 23 517 23 17200 1451 144 23 522 409 17200 1451 145 23 534 27 17200 1451 146 23 535 33 17200 1451 147 23 536 37 17200 1451 148 23 537 39 17200 1451 149 23 538 37 17200 1451 150 23 539 41 17200 1451 151 23 540 43 17200 1451 152 23 541 51 17200 1451 153 23 542 53 17200 1451 154 23 543 41 17200 1451 155 23 544 44 17200 1451 156 23 545 46 17200 1451 157 23 546 55 17200 1451 158 23 547 57 17200 1451 159 23 548 69 17200 1451 160 23 549 68 17200 1451 161 23 550 46 17200 1451 162 23 551 54 17200 1451 163 23 552 56 17200 1451 164 23 553 66 17200 1451 165 23 554 65 17200 1451 166 23 559 54 17200 1451 167 27 502 51 17200 1451 168 27 504 47 17200 1451 169 27 505 62 17200 1451 170 27 506 105 17200 1451 171 7200 1 0 172 7200 0 0 173 7.200000+4 1.769570+2 0 0 0 0720023501 174 0.000000+0 0.000000+0 0 0 1 1550720023501 175 1550 2 0 0 0 0720023501 176 1.000000+1 1.351790+7 1.051720+1 1.337830+7 1.095300+1 1.330780+7720023501 177 1.101520+1 1.329770+7 1.163580+1 1.325020+7 1.173280+1 1.324920+7720023501 178 1.218810+1 1.324460+7 1.222900+1 1.324410+7 1.238840+1 1.324960+7720023501 179 1.277280+1 1.326290+7 1.288420+1 1.327080+7 1.350630+1 1.312050+7720023501 180 1.369400+1 1.307980+7 1.393290+1 1.302800+7 1.394860+1 1.302490+7720023501 181 1.471200+1 1.287360+7 1.500000+1 1.282180+7 1.556100+1 1.256660+7720023501 182 1.616790+1 1.229770+7 1.640000+1 1.219680+7 1.692740+1 1.196750+7720023501 183 1.732050+1 1.179870+7 1.732500+1 1.179600+7 1.828040+1 1.122030+7720023501 184 1.929360+1 1.061420+7 1.966840+1 1.039160+7 1.980960+1 1.030770+7720023501 185 2.000000+1 1.019460+7 2.122110+1 9.431690+6 2.221340+1 8.814600+6720023501 186 2.319380+1 8.204900+6 2.415380+1 7.609920+6 2.425300+1 7.556390+6720023501 187 2.501650+1 7.144430+6 2.508780+1 7.109350+6 2.535000+1 6.980340+6720023501 188 2.540000+1 6.955810+6 2.540000+1 7.663970+6 2.573040+1 7.497030+6720023501 189 2.698890+1 6.861130+6 2.726000+1 6.724150+6 2.726000+1 7.195910+6720023501 190 2.780000+1 6.920220+6 2.788010+1 6.879370+6 2.892060+1 6.423470+6720023501 191 2.895140+1 6.411260+6 3.000000+1 5.995690+6 3.109840+1 5.560660+6720023501 192 3.183050+1 5.306880+6 3.244020+1 5.116360+6 3.357470+1 4.774030+6720023501 193 3.380350+1 4.704990+6 3.402370+1 4.638540+6 3.412570+1 4.612440+6720023501 194 3.470340+1 4.464590+6 3.478790+1 4.442960+6 3.534470+1 4.318180+6720023501 195 3.555760+1 4.270460+6 3.583350+1 4.211220+6 3.614570+1 4.145780+6720023501 196 3.638170+1 4.096310+6 3.673860+1 4.021490+6 3.689100+1 3.989550+6720023501 197 3.709890+1 3.952690+6 3.726450+1 3.923340+6 3.740760+1 3.897980+6720023501 198 3.750960+1 3.879900+6 3.764890+1 3.855220+6 3.782550+1 3.823940+6720023501 199 3.794380+1 3.802980+6 3.810000+1 3.775300+6 3.810000+1 1.238430+7720023501 200 3.818360+1 1.231950+7 3.826390+1 1.225720+7 3.841210+1 1.214230+7720023501 201 3.855430+1 1.203200+7 3.886000+1 1.179500+7 3.890540+1 1.176060+7720023501 202 3.906810+1 1.163720+7 3.982880+1 1.107400+7 4.000000+1 1.094730+7720023501 203 4.107720+1 1.016680+7 4.147620+1 9.877730+6 4.181650+1 9.677980+6720023501 204 4.196050+1 9.595790+6 4.300700+1 9.010490+6 4.347870+1 8.750900+6720023501 205 4.400960+1 8.470730+6 4.459420+1 8.162220+6 4.537100+1 7.834240+6720023501 206 4.538210+1 7.829700+6 4.566340+1 7.714510+6 4.587920+1 7.626160+6720023501 207 4.604930+1 7.556510+6 4.624000+1 7.478440+6 4.629660+1 7.456060+6720023501 208 4.634000+1 7.438900+6 4.634000+1 1.131790+7 4.654530+1 1.120160+7720023501 209 4.670790+1 1.110950+7 4.691970+1 1.098950+7 4.712490+1 1.087320+7720023501 210 4.726000+1 1.079670+7 4.755450+1 1.063550+7 4.835490+1 1.025270+7720023501 211 4.946640+1 9.721060+6 5.000000+1 9.465830+6 5.012070+1 9.409670+6720023501 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5.243010+5720023548 1912 5.000000+1 5.877750+5 5.732660+1 8.103880+5 7.022720+1 1.259360+6720023548 1913 9.000000+1 1.976260+6 1.051990+2 2.403050+6 1.106680+2 2.533280+6720023548 1914 1.288420+2 2.811090+6 1.500000+2 2.947880+6 1.732050+2 2.949760+6720023548 1915 2.301000+2 2.631410+6 3.155680+2 1.907880+6 3.925340+2 1.389110+6720023548 1916 4.578790+2 1.056040+6 5.087140+2 8.544980+5 5.672090+2 6.771490+5720023548 1917 6.235740+2 5.431070+5 6.735370+2 4.501680+5 7.453910+2 3.463290+5720023548 1918 8.094630+2 2.776540+5 8.687480+2 2.297380+5 9.486830+2 1.796560+5720023548 1919 1.038740+3 1.374630+5 1.110190+3 1.121070+5 1.192210+3 9.010640+4720023548 1920 1.271190+3 7.402280+4 1.355400+3 6.081000+4 1.442320+3 4.963060+4720023548 1921 1.511160+3 4.261680+4 1.620610+3 3.391000+4 1.738000+3 2.698200+4720023548 1922 1.807180+3 2.355270+4 1.934940+3 1.856660+4 2.076150+3 1.452770+4720023548 1923 2.178300+3 1.229010+4 2.307540+3 1.005520+4 2.445380+3 8.174550+3720023548 1924 2.573590+3 6.782070+3 2.718430+3 5.552240+3 2.903040+3 4.367120+3720023548 1925 3.109840+3 3.377160+3 3.311840+3 2.657140+3 3.533890+3 2.075020+3720023548 1926 3.693770+3 1.753070+3 3.895200+3 1.431970+3 4.113140+3 1.159160+3720023548 1927 4.318900+3 9.558630+2 4.550780+3 7.774360+2 4.845540+3 6.067190+2720023548 1928 5.115260+3 4.886700+2 5.415170+3 3.878680+2 5.700090+3 3.150550+2720023548 1929 6.000000+3 2.559100+2 6.318310+3 2.062530+2 6.597670+3 1.721820+2720023548 1930 6.923340+3 1.408200+2 7.290130+3 1.135280+2 7.636820+3 9.351870+1720023548 1931 8.175911+3 7.011060+1 8.679871+3 5.411040+1 8.973831+3 4.684220+1720023548 1932 9.512420+3 3.639240+1 1.010170+4 2.805170+1 1.052430+4 2.348970+1720023548 1933 1.105480+4 1.898370+1 1.173440+4 1.457600+1 1.210020+4 1.269710+1720023548 1934 1.276780+4 9.972970+0 1.349490+4 7.774380+0 1.401430+4 6.560260+0720023548 1935 1.466400+4 5.350910+0 1.554920+4 4.100520+0 1.604630+4 3.551520+0720023548 1936 1.695460+4 2.761660+0 1.794520+4 2.130660+0 1.865360+4 1.785260+0720023548 1937 1.954080+4 1.443870+0 2.051330+4 1.153960+0 2.151150+4 9.249110-1720023548 1938 2.242480+4 7.621120-1 2.365370+4 5.944490-1 2.436700+4 5.176450-1720023548 1939 2.566740+4 4.063370-1 2.708120+4 3.165600-1 2.808950+4 2.670090-1720023548 1940 2.934910+4 2.176750-1 3.065690+4 1.772830-1 3.197090+4 1.451770-1720023548 1941 3.325390+4 1.203800-1 3.512470+4 9.276640-2 3.689430+4 7.341240-2720023548 1942 3.859630+4 5.922790-2 4.071440+4 4.592720-2 4.273640+4 3.646340-2720023548 1943 4.458790+4 2.979690-2 4.708200+4 2.299540-2 4.853080+4 1.990590-2720023548 1944 5.117420+4 1.546420-2 5.405100+4 1.191920-2 5.610470+4 9.980400-3720023548 1945 5.867240+4 8.065440-3 6.194650+4 6.233070-3 6.473050+4 5.061540-3720023548 1946 6.739490+4 4.181360-3 7.080250+4 3.310290-3 7.392520+4 2.698340-3720023548 1947 7.813529+4 2.075750-3 8.058260+4 1.793670-3 8.505129+4 1.389100-3720023548 1948 8.991940+4 1.067220-3 9.339729+4 8.916680-4 9.774879+4 7.186870-4720023548 1949 1.025670+5 5.739310-4 1.075580+5 4.608080-4 1.121240+5 3.802740-4720023548 1950 1.182690+5 2.971930-4 1.218350+5 2.590750-4 1.283370+5 2.037530-4720023548 1951 1.354060+5 1.590460-4 1.404470+5 1.343300-4 1.467460+5 1.096860-4720023548 1952 1.527210+5 9.147690-5 1.604630+5 7.337260-5 1.695460+5 5.739490-5720023548 1953 1.794520+5 4.455320-5 1.865360+5 3.748720-5 1.954080+5 3.047110-5720023548 1954 2.038380+5 2.531910-5 2.147750+5 2.022940-5 2.276470+5 1.575590-5720023548 1955 2.417300+5 1.217610-5 2.518290+5 1.021390-5 2.645050+5 8.272010-6720023548 1956 2.780380+5 6.701750-6 2.924930+5 5.431550-6 3.054430+5 4.550880-6720023548 1957 3.209250+5 3.735150-6 3.390920+5 2.997590-6 3.597000+5 2.368160-6720023548 1958 3.793150+5 1.915520-6 4.000000+5 1.549400-6 4.229490+5 1.254560-6720023548 1959 4.410200+5 1.070880-6 4.695850+5 8.445210-7 5.000000+5 6.660100-7720023548 1960 5.233180+5 5.683900-7 5.603490+5 4.481210-7 6.000000+5 3.533000-7720023548 1961 6.447420+5 2.775780-7 6.943790+5 2.164480-7 7.303960+5 1.826820-7720023548 1962 7.760910+5 1.490410-7 8.000000+5 1.346200-7 8.637790+5 1.070170-7720023548 1963 9.101570+5 9.151720-8 9.691080+5 7.585150-8 1.010940+6 6.755600-8720023548 1964 1.130270+6 5.426230-8 1.250000+6 4.455160-8 1.369310+6 3.762090-8720023548 1965 1.500000+6 3.176840-8 1.701190+6 2.551500-8 1.894980+6 2.114450-8720023548 1966 2.044000+6 1.856250-8 2.332190+6 1.506090-8 2.551640+6 1.306020-8720023548 1967 2.842410+6 1.100710-8 3.000000+6 1.010490-8 3.464100+6 8.190550-9720023548 1968 4.000000+6 6.638870-9 4.472140+6 5.691860-9 5.000000+6 4.879940-9720023548 1969 5.732660+6 4.069910-9 6.480740+6 3.469940-9 7.483310+6 2.890500-9720023548 1970 8.485280+6 2.473420-9 1.000000+7 2.026160-9 1.148910+7 1.717890-9720023548 1971 1.349070+7 1.424690-9 1.600000+7 1.172220-9 1.897370+7 9.68138-10720023548 1972 2.200000+7 8.21832-10 2.600000+7 6.84826-10 3.000000+7 5.86909-10720023548 1973 3.464100+7 5.03506-10 4.000000+7 4.31955-10 4.728710+7 3.62253-10720023548 1974 5.477230+7 3.10702-10 6.447420+7 2.62308-10 7.444840+7 2.26013-10720023548 1975 8.944271+7 1.87122-10 1.000000+8 1.66899-10 0.000000+0 0.000000+0720023548 1976 720023 0 1977 7.200000+4 1.769570+2 0 0 0 0720023549 1978 2.540000+1 0.000000+0 0 0 1 194720023549 1979 194 2 0 0 0 0720023549 1980 2.540000+1 0.000000+0 2.540000+1 7.081670+5 3.244020+1 6.059580+5720023549 1981 3.555760+1 5.941390+5 3.886000+1 6.126620+5 4.196050+1 6.617710+5720023549 1982 4.624000+1 7.784430+5 5.369740+1 1.085840+6 9.000000+1 2.867780+6720023549 1983 1.051990+2 3.419060+6 1.218350+2 3.795590+6 1.414780+2 4.000370+6720023549 1984 1.655920+2 4.017630+6 2.000000+2 3.800250+6 2.576140+2 3.160260+6720023549 1985 3.383810+2 2.291000+6 3.911670+2 1.817780+6 4.578790+2 1.368670+6720023549 1986 5.087140+2 1.104680+6 5.622210+2 8.886040+5 6.180910+2 7.123770+5720023549 1987 6.831100+2 5.566620+5 7.392490+2 4.538510+5 8.000000+2 3.700280+5720023549 1988 8.566830+2 3.043630+5 9.018170+2 2.628820+5 9.740130+2 2.110150+5720023549 1989 1.051990+3 1.693810+5 1.121240+3 1.389560+5 1.176150+3 1.197810+5720023549 1990 1.263600+3 9.586320+4 1.357550+3 7.672140+4 1.444040+3 6.262740+4720023549 1991 1.512510+3 5.378370+4 1.621340+3 4.280350+4 1.738000+3 3.406500+4720023549 1992 1.807180+3 2.971420+4 1.934940+3 2.339430+4 2.076150+3 1.828150+4720023549 1993 2.178300+3 1.545220+4 2.307540+3 1.262890+4 2.467460+3 9.916420+3720023549 1994 2.638010+3 7.749260+3 2.826250+3 6.009230+3 2.962230+3 5.052640+3720023549 1995 3.134080+3 4.103520+3 3.358350+3 3.154130+3 3.480760+3 2.744230+3720023549 1996 3.705820+3 2.150880+3 3.953170+3 1.673040+3 4.131210+3 1.409650+3720023549 1997 4.355480+3 1.147730+3 4.639490+3 8.925600+2 4.927710+3 6.993710+2720023549 1998 5.176330+3 5.730570+2 5.456640+3 4.629230+2 5.721870+3 3.820220+2720023549 1999 6.108860+3 2.923450+2 6.418500+3 2.375590+2 6.781840+3 1.885400+2720023549 2000 7.178090+3 1.485600+2 7.461460+3 1.262790+2 7.816300+3 1.039070+2720023549 2001 8.175911+3 8.573070+1 8.679871+3 6.605770+1 8.973831+3 5.713270+1720023549 2002 9.512420+3 4.431670+1 1.010170+4 3.410370+1 1.052430+4 2.852560+1720023549 2003 1.105480+4 2.302260+1 1.173960+4 1.757640+1 1.232810+4 1.404750+1720023549 2004 1.289390+4 1.143660+1 1.362110+4 8.893880+0 1.429110+4 7.137360+0720023549 2005 1.490430+4 5.887470+0 1.571310+4 4.621290+0 1.642360+4 3.773510+0720023549 2006 1.725280+4 3.011100+0 1.790200+4 2.542200+0 1.892190+4 1.972130+0720023549 2007 2.000000+4 1.529900+0 2.103980+4 1.205790+0 2.199390+4 9.790500-1720023549 2008 2.325560+4 7.533800-1 2.436700+4 6.050290-1 2.566740+4 4.739320-1720023549 2009 2.708120+4 3.684180-1 2.808950+4 3.102900-1 2.934910+4 2.525100-1720023549 2010 3.065690+4 2.052430-1 3.197090+4 1.677110-1 3.325390+4 1.387840-1720023549 2011 3.512470+4 1.066490-1 3.689430+4 8.418540-2 3.859630+4 6.776220-2720023549 2012 3.967540+4 5.934200-2 4.178060+4 4.627160-2 4.371410+4 3.721970-2720023549 2013 4.627370+4 2.830470-2 4.853080+4 2.250770-2 5.117420+4 1.743790-2720023549 2014 5.405100+4 1.340270-2 5.610470+4 1.120110-2 5.867240+4 9.031140-3720023549 2015 6.123160+4 7.358450-3 6.369020+4 6.095780-3 6.727560+4 4.691320-3720023549 2016 7.066690+4 3.708180-3 7.392890+4 2.988450-3 7.798840+4 2.314360-3720023549 2017 8.186390+4 1.835320-3 8.541270+4 1.498240-3 9.019329+4 1.154740-3720023549 2018 9.297020+4 9.988670-4 9.803720+4 7.749970-4 1.035520+5 5.965520-4720023549 2019 1.074890+5 4.990670-4 1.124110+5 4.028760-4 1.174100+5 3.282560-4720023549 2020 1.244330+5 2.508620-4 1.303560+5 2.022840-4 1.355290+5 1.689390-4720023549 2021 1.415320+5 1.382320-4 1.482600+5 1.114970-4 1.545870+5 9.188630-5720023549 2022 1.611850+5 7.572510-5 1.706370+5 5.878770-5 1.789720+5 4.756200-5720023549 2023 1.887350+5 3.756440-5 1.993610+5 2.945030-5 2.069470+5 2.494770-5720023549 2024 2.164320+5 2.044370-5 2.252820+5 1.717950-5 2.364990+5 1.400060-5720023549 2025 2.496500+5 1.114760-5 2.639780+5 8.813090-6 2.805480+5 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6.619660+4-6.036030+0720027506 2646 6.655100+4-5.299580+0 6.688890+4-4.699380+0 6.752240+4-3.954380+0720027506 2647 6.809110+4-3.503760+0 6.904680+4-2.937880+0 7.050190+4-2.325800+0720027506 2648 7.195690+4-1.897100+0 7.491140+4-1.275340+0 7.638860+4-1.036440+0720027506 2649 7.798840+4-8.447490-1 8.164529+4-4.794970-1 8.359310+4-3.194930-1720027506 2650 8.542490+4-2.100960-1 8.873579+4-4.902390-2 8.970720+4-3.881680-4720027506 2651 9.116960+4 7.308730-2 9.212700+4 1.100100-1 9.827640+4 2.732250-1720027506 2652 1.002700+5 3.030400-1 1.037680+5 3.726770-1 1.062230+5 4.089400-1720027506 2653 1.070110+5 4.096690-1 1.150280+5 5.104420-1 1.182690+5 5.297160-1720027506 2654 1.193130+5 5.264370-1 1.321280+5 5.668790-1 1.566410+5 5.359150-1720027506 2655 1.993610+5 4.430460-1 2.083130+5 4.178990-1 2.467310+5 3.381930-1720027506 2656 2.937220+5 2.603210-1 3.174130+5 2.300770-1 3.486430+5 1.964830-1720027506 2657 4.113140+5 1.406830-1 4.550780+5 1.140280-1 5.000000+5 9.202960-2720027506 2658 5.502370+5 7.198780-2 5.861120+5 5.939360-2 6.487980+5 4.374890-2720027506 2659 7.303960+5 2.727030-2 7.916940+5 1.906770-2 8.696620+5 1.001040-2720027506 2660 8.973840+5 7.698220-3 9.788550+5 1.384320-3 1.000000+6 0.000000+0720027506 2661 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0720027506 2662 720027 0 2663 7200 0 0 2664 0 0 0 2665 7.300000+4 1.793940+2 -1 0 0 17300 1451 1 0.000000+0 0.000000+0 0 0 0 67300 1451 2 0.000000+0 0.000000+0 0 0 3 67300 1451 3 0.000000+0 0.000000+0 0 0 133 347300 1451 4 73-TA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7300 1451 6 ----ENDF/B-VI MATERIAL 7300 7300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7300 1451 8 ------ENDF-6 FORMAT 7300 1451 9 =================================================================7300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7300 1451 11 ENDF/B-VI FORMAT 7300 1451 12 =================================================================7300 1451 13 CONTENTS 7300 1451 14 =================================================================7300 1451 15 MF/MT DESCRIPTION 7300 1451 16 =================================================================7300 1451 17 23/501 TOTAL CROSS SECTION 7300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7300 1451 46 =================================================================7300 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7300 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7300 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7300 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7300 1451 51 =================================================================7300 1451 52 WARNING 7300 1451 53 =================================================================7300 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7300 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7300 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7300 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7300 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7300 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7300 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7300 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7300 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7300 1451 63 =================================================================7300 1451 64 DEFINITION OF NEW TYPES OF DATA 7300 1451 65 =================================================================7300 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7300 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7300 1451 68 7300 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7300 1451 70 C2 FIELDS ARE, 7300 1451 71 7300 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7300 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7300 1451 74 7300 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7300 1451 76 7300 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7300 1451 78 7300 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7300 1451 80 T = THE THOMSON CROSS SECTION 7300 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7300 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7300 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7300 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7300 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7300 1451 86 7300 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7300 1451 88 7300 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7300 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7300 1451 91 =================================================================7300 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7300 1451 93 =================================================================7300 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7300 1451 95 HERE - 10 EV TO 100 MEV 7300 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7300 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7300 1451 98 HERE - PHOTON INTERACTION 7300 1451 99 - AVERAGE FLUORESCENCE YIELD 7300 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7300 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7300 1451 102 HERE - NO SECONDARY ENERGY DATA 7300 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7300 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7300 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7300 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7300 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7300 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7300 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7300 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7300 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7300 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7300 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7300 1451 114 =================================================================7300 1451 115 REFERENCES 7300 1451 116 =================================================================7300 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7300 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7300 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7300 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7300 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7300 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7300 1451 123 7300 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7300 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7300 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7300 1451 127 OF THE DATA, ETC. 7300 1451 128 =================================================================7300 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7300 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7300 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7300 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7300 1451 133 *RECONSTRUCTED MT NUMBERS 7300 1451 134 516 =+(515,515)+(517,517) 7300 1451 135 522 =+(534,572) 7300 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7300 1451 137 1 451 171 17300 1451 138 23 501 518 17300 1451 139 23 502 76 17300 1451 140 23 504 24 17300 1451 141 23 515 17 17300 1451 142 23 516 36 17300 1451 143 23 517 23 17300 1451 144 23 522 412 17300 1451 145 23 534 27 17300 1451 146 23 535 33 17300 1451 147 23 536 37 17300 1451 148 23 537 38 17300 1451 149 23 538 37 17300 1451 150 23 539 40 17300 1451 151 23 540 42 17300 1451 152 23 541 52 17300 1451 153 23 542 53 17300 1451 154 23 543 41 17300 1451 155 23 544 43 17300 1451 156 23 545 46 17300 1451 157 23 546 55 17300 1451 158 23 547 56 17300 1451 159 23 548 68 17300 1451 160 23 549 68 17300 1451 161 23 550 46 17300 1451 162 23 551 53 17300 1451 163 23 552 55 17300 1451 164 23 553 66 17300 1451 165 23 554 64 17300 1451 166 23 559 53 17300 1451 167 27 502 51 17300 1451 168 27 504 48 17300 1451 169 27 505 60 17300 1451 170 27 506 103 17300 1451 171 7300 1 0 172 7300 0 0 173 7.300000+4 1.793940+2 0 0 0 0730023501 174 0.000000+0 0.000000+0 0 0 1 1543730023501 175 1543 2 0 0 0 0730023501 176 1.000000+1 1.547370+7 1.051990+1 1.567790+7 1.092860+1 1.589810+7730023501 177 1.099690+1 1.593490+7 1.154780+1 1.629580+7 1.162780+1 1.634820+7730023501 178 1.177520+1 1.645810+7 1.218350+1 1.676250+7 1.283370+1 1.728970+7730023501 179 1.288420+1 1.733340+7 1.303030+1 1.739610+7 1.354060+1 1.761510+7730023501 180 1.404470+1 1.784870+7 1.407860+1 1.786530+7 1.467460+1 1.815580+7730023501 181 1.500000+1 1.832110+7 1.534090+1 1.832320+7 1.622760+1 1.834480+7730023501 182 1.688590+1 1.837060+7 1.706930+1 1.837780+7 1.732050+1 1.839030+7730023501 183 1.795470+1 1.810090+7 1.894980+1 1.765760+7 1.988080+1 1.724750+7730023501 184 2.000000+1 1.719500+7 2.147750+1 1.599710+7 2.199390+1 1.557930+7730023501 185 2.299120+1 1.477530+7 2.309400+1 1.468520+7 2.376870+1 1.409370+7730023501 186 2.468680+1 1.329080+7 2.576830+1 1.234510+7 2.582970+1 1.229880+7730023501 187 2.760630+1 1.096230+7 2.773720+1 1.086390+7 2.783680+1 1.078890+7730023501 188 2.898390+1 9.927000+6 2.915680+1 9.797080+6 3.000000+1 9.235000+6730023501 189 3.078330+1 8.713440+6 3.118020+1 8.473310+6 3.255960+1 7.638740+6730023501 190 3.283220+1 7.473800+6 3.390610+1 6.927100+6 3.404000+1 6.858930+6730023501 191 3.404000+1 7.427580+6 3.412650+1 7.383940+6 3.441320+1 7.258020+6730023501 192 3.547170+1 6.793090+6 3.584390+1 6.649440+6 3.614000+1 6.535150+6730023501 193 3.614000+1 6.916670+6 3.658670+1 6.747630+6 3.687000+1 6.640430+6730023501 194 3.825500+1 6.104290+6 3.863660+1 5.987620+6 3.932410+1 5.771760+6730023501 195 3.970260+1 5.652920+6 3.999640+1 5.560670+6 4.009680+1 5.529140+6730023501 196 4.053130+1 5.392720+6 4.086030+1 5.289420+6 4.105090+1 5.229580+6730023501 197 4.116180+1 5.194760+6 4.118300+1 5.188100+6 4.127710+1 5.164760+6730023501 198 4.139210+1 5.136220+6 4.154680+1 5.097850+6 4.171760+1 5.055470+6730023501 199 4.189000+1 5.012700+6 4.189000+1 1.142670+7 4.190020+1 1.142030+7730023501 200 4.208370+1 1.130650+7 4.224860+1 1.120420+7 4.240340+1 1.110810+7730023501 201 4.273000+1 1.090540+7 4.288820+1 1.080730+7 4.414880+1 1.002490+7730023501 202 4.476440+1 9.642810+6 4.485060+1 9.596700+6 4.491850+1 9.560380+6730023501 203 4.577060+1 9.153890+6 4.841330+1 7.913520+6 4.983210+1 7.314860+6730023501 204 4.996080+1 7.260560+6 5.000000+1 7.246370+6 5.030210+1 7.140940+6730023501 205 5.057130+1 7.046990+6 5.073090+1 6.991300+6 5.103440+1 6.885390+6730023501 206 5.115000+1 6.845050+6 5.115000+1 9.765050+6 5.142710+1 9.639560+6730023501 207 5.167120+1 9.529020+6 5.193460+1 9.409730+6 5.218000+1 9.298580+6730023501 208 5.254690+1 9.142650+6 5.350590+1 8.735070+6 5.413190+1 8.474500+6730023501 209 5.480580+1 8.230270+6 5.595360+1 7.814300+6 5.595390+1 7.814200+6730023501 210 5.735380+1 7.371330+6 5.772510+1 7.257120+6 6.000000+1 6.661750+6730023501 211 6.168050+1 6.264340+6 6.235740+1 6.124250+6 6.333220+1 5.929720+6730023501 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4.612650+1 9.918231+3 3.617430+1730023548 1925 1.051010+4 2.815460+1 1.093380+4 2.373200+1 1.146490+4 1.933190+1730023548 1926 1.210520+4 1.521870+1 1.277180+4 1.198060+1 1.349770+4 9.361330+0730023548 1927 1.401610+4 7.911990+0 1.466460+4 6.465810+0 1.554920+4 4.959100+0730023548 1928 1.604630+4 4.294740+0 1.695460+4 3.339050+0 1.794520+4 2.575680+0730023548 1929 1.865360+4 2.157890+0 1.954080+4 1.745000+0 2.051330+4 1.395040+0730023548 1930 2.151150+4 1.118900+0 2.242480+4 9.225050-1 2.365370+4 7.201080-1730023548 1931 2.436700+4 6.273350-1 2.566740+4 4.928090-1 2.708120+4 3.842220-1730023548 1932 2.808950+4 3.242500-1 2.934910+4 2.645070-1 3.065690+4 2.155620-1730023548 1933 3.197090+4 1.766330-1 3.325390+4 1.465480-1 3.512470+4 1.130240-1730023548 1934 3.689430+4 8.950860-2 3.859630+4 7.226230-2 4.071440+4 5.607880-2730023548 1935 4.273640+4 4.455510-2 4.458790+4 3.643210-2 4.708200+4 2.813870-2730023548 1936 4.853080+4 2.436910-2 5.117420+4 1.894640-2 5.405100+4 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5.680330-6 3.209250+5 4.662490-6 3.390920+5 3.742110-6730023548 1950 3.597000+5 2.956610-6 3.793150+5 2.391680-6 4.000000+5 1.934700-6730023548 1951 4.229490+5 1.566210-6 4.410200+5 1.336680-6 4.695850+5 1.053890-6730023548 1952 5.000000+5 8.309200-7 5.233180+5 7.062020-7 5.603490+5 5.533300-7730023548 1953 6.000000+5 4.335500-7 6.447420+5 3.427940-7 6.943790+5 2.690540-7730023548 1954 7.303960+5 2.280960-7 7.760910+5 1.870900-7 8.226280+5 1.553840-7730023548 1955 8.820400+5 1.251360-7 9.391700+5 1.029820-7 1.000000+6 8.475000-8730023548 1956 1.074770+6 7.349940-8 1.188630+6 6.035990-8 1.308290+6 5.026720-8730023548 1957 1.433160+6 4.245130-8 1.554920+6 3.664060-8 1.701190+6 3.132440-8730023548 1958 1.894980+6 2.595300-8 2.044000+6 2.277680-8 2.332190+6 1.847860-8730023548 1959 2.551640+6 1.602300-8 2.842410+6 1.350310-8 3.000000+6 1.239590-8730023548 1960 3.464100+6 1.004530-8 4.000000+6 8.140470-9 4.472140+6 6.977440-9730023548 1961 5.000000+6 5.980570-9 5.732660+6 4.987640-9 6.480740+6 4.251760-9730023548 1962 7.483310+6 3.541430-9 8.485280+6 3.029490-9 1.000000+7 2.481940-9730023548 1963 1.148910+7 2.103780-9 1.349070+7 1.744380-9 1.600000+7 1.435110-9730023548 1964 1.897370+7 1.185220-9 2.200000+7 1.006120-9 2.600000+7 8.38200-10730023548 1965 3.000000+7 7.18128-10 3.464100+7 6.16113-10 4.000000+7 5.28590-10730023548 1966 4.728710+7 4.43224-10 5.477230+7 3.80125-10 6.447420+7 3.20926-10730023548 1967 7.444840+7 2.76539-10 8.944271+7 2.28959-10 1.000000+8 2.04213-10730023548 1968 730023 0 1969 7.300000+4 1.793940+2 0 0 0 0730023549 1970 3.404000+1 0.000000+0 0 0 1 195730023549 1971 195 2 0 0 0 0730023549 1972 3.404000+1 0.000000+0 3.404000+1 5.686440+5 3.687000+1 5.818240+5730023549 1973 4.577060+1 5.459750+5 5.000000+1 5.614410+5 5.350590+1 6.041740+5730023549 1974 5.735380+1 6.847900+5 6.235740+1 8.334600+5 7.003150+1 1.118240+6730023549 1975 9.052440+1 2.023020+6 1.009390+2 2.482790+6 1.073980+2 2.758090+6730023549 1976 1.217220+2 3.220220+6 1.388680+2 3.586060+6 1.649420+2 3.836250+6730023549 1977 1.909200+2 3.834840+6 2.302600+2 3.568960+6 3.589410+2 2.241960+6730023549 1978 4.164670+2 1.765500+6 4.848080+2 1.335240+6 5.373630+2 1.079310+6730023549 1979 5.966740+2 8.554390+5 6.462750+2 7.080530+5 7.223390+2 5.391770+5730023549 1980 7.813560+2 4.377270+5 8.385820+2 3.628510+5 9.279590+2 2.751210+5730023549 1981 1.001710+3 2.201410+5 1.073090+3 1.801200+5 1.149560+3 1.473740+5730023549 1982 1.228630+3 1.195540+5 1.291480+3 1.021930+5 1.391840+3 8.076260+4730023549 1983 1.500000+3 6.382600+4 1.611850+3 5.012720+4 1.735950+3 3.907250+4730023549 1984 1.825990+3 3.296830+4 1.940230+3 2.688850+4 2.090410+3 2.073380+4730023549 1985 2.172870+3 1.805660+4 2.325070+3 1.417610+4 2.493200+3 1.104570+4730023549 1986 2.614750+3 9.317770+3 2.768470+3 7.597170+3 2.972150+3 5.838710+3730023549 1987 3.084570+3 5.070630+3 3.291630+3 3.961560+3 3.519730+3 3.071280+3730023549 1988 3.684250+3 2.581950+3 3.891850+3 2.096530+3 4.160280+3 1.615920+3730023549 1989 4.305790+3 1.409440+3 4.572770+3 1.109530+3 4.865450+3 8.669340+2730023549 1990 5.075680+3 7.327010+2 5.339970+3 5.987640+2 5.608470+3 4.905590+2730023549 1991 5.863070+3 4.079200+2 6.206810+3 3.219280+2 6.587210+3 2.514290+2730023549 1992 6.915100+3 2.054720+2 7.284550+3 1.655110+2 7.633900+3 1.362370+2730023549 1993 8.000000+3 1.121400+2 8.392901+3 9.102180+1 8.914621+3 7.001130+1730023549 1994 9.376121+3 5.620490+1 9.918231+3 4.400890+1 1.051010+4 3.419690+1730023549 1995 1.093380+4 2.879320+1 1.146490+4 2.342370+1 1.221450+4 1.766960+1730023549 1996 1.283860+4 1.411270+1 1.338540+4 1.169250+1 1.402190+4 9.482420+0730023549 1997 1.473740+4 7.575880+0 1.541250+4 6.190070+0 1.611850+4 5.057760+0730023549 1998 1.706440+4 3.873730+0 1.798110+4 3.032850+0 1.884610+4 2.434510+0730023549 1999 1.967650+4 1.989940+0 2.074170+4 1.555090+0 2.172090+4 1.253310+0730023549 2000 2.301860+4 9.554360-1 2.416400+4 7.613100-1 2.550690+4 5.911710-1730023549 2001 2.696990+4 4.554400-1 2.801520+4 3.812360-1 2.932330+4 3.079700-1730023549 2002 3.065690+4 2.494770-1 3.197090+4 2.039770-1 3.325390+4 1.688870-1730023549 2003 3.512470+4 1.298810-1 3.689430+4 1.025950-1 3.859630+4 8.263300-2730023549 2004 4.071440+4 6.394840-2 4.273640+4 5.067930-2 4.458790+4 4.134820-2730023549 2005 4.708200+4 3.184510-2 4.853080+4 2.753540-2 5.117420+4 2.134900-2730023549 2006 5.405100+4 1.642140-2 5.610470+4 1.373110-2 5.867240+4 1.107790-2730023549 2007 6.123160+4 9.031040-3 6.369020+4 7.484660-3 6.727560+4 5.763730-3730023549 2008 7.066690+4 4.558350-3 7.392890+4 3.675470-3 7.798840+4 2.848110-3730023549 2009 8.186390+4 2.259820-3 8.541270+4 1.845650-3 9.019329+4 1.423360-3730023549 2010 9.297020+4 1.231650-3 9.803720+4 9.561740-4 1.035520+5 7.364630-4730023549 2011 1.074890+5 6.163720-4 1.124110+5 4.978200-4 1.174100+5 4.058050-4730023549 2012 1.244330+5 3.103130-4 1.303560+5 2.503440-4 1.355290+5 2.091600-4730023549 2013 1.415320+5 1.712190-4 1.482600+5 1.381700-4 1.545870+5 1.139180-4730023549 2014 1.611850+5 9.392230-5 1.706370+5 7.295590-5 1.789720+5 5.905260-5730023549 2015 1.887350+5 4.666410-5 1.993610+5 3.660430-5 2.069470+5 3.101940-5730023549 2016 2.164320+5 2.543050-5 2.255830+5 2.126200-5 2.376870+5 1.707720-5730023549 2017 2.519330+5 1.337870-5 2.675180+5 1.040160-5 2.786940+5 8.761260-6730023549 2018 2.927230+5 7.130610-6 3.078550+5 5.807210-6 3.284040+5 4.496430-6730023549 2019 3.480680+5 3.571730-6 3.689100+5 2.837200-6 3.887870+5 2.333920-6730023549 2020 4.043950+5 2.015970-6 4.289880+5 1.618380-6 4.550780+5 1.299200-6730023549 2021 4.888230+5 1.014130-6 5.132540+5 8.565360-7 5.441890+5 6.993990-7730023549 2022 5.603490+5 6.319970-7 6.032190+5 5.011860-7 6.343140+5 4.278870-7730023549 2023 6.737500+5 3.539360-7 6.943790+5 3.219010-7 7.488300+5 2.590680-7730023549 2024 8.094590+5 2.070900-7 8.812120+5 1.622050-7 9.391700+5 1.350490-7730023549 2025 1.010940+6 1.116300-7 1.130270+6 8.968090-8 1.250000+6 7.364870-8730023549 2026 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3.244920+4-1.668920-1 3.310950+4-2.088440-1730027506 2622 3.554440+4-3.442980-1 3.776190+4-4.890750-1 4.126680+4-7.321920-1730027506 2623 4.434270+4-9.377480-1 4.853080+4-1.258460+0 5.008210+4-1.384300+0730027506 2624 5.332010+4-1.672760+0 5.839100+4-2.266990+0 6.167070+4-2.858650+0730027506 2625 6.323930+4-3.278930+0 6.497880+4-4.016660+0 6.562220+4-4.459590+0730027506 2626 6.607750+4-4.918110+0 6.627410+4-5.182100+0 6.644490+4-5.453530+0730027506 2627 6.657850+4-5.692310+0 6.672330+4-5.972520+0 6.680060+4-6.127940+0730027506 2628 6.689310+4-6.313790+0 6.701140+4-6.540810+0 6.714120+4-6.764040+0730027506 2629 6.728690+4-6.958800+0 6.758330+4-7.084300+0 6.787970+4-6.841900+0730027506 2630 6.815430+4-6.345830+0 6.841750+4-5.778070+0 6.875050+4-5.124570+0730027506 2631 6.906790+4-4.608670+0 6.966310+4-3.945140+0 7.070470+4-3.208370+0730027506 2632 7.150590+4-2.801810+0 7.265760+4-2.347150+0 7.397530+4-1.970110+0730027506 2633 7.667290+4-1.381680+0 7.813570+4-1.138390+0 7.951660+4-9.597090-1730027506 2634 8.294190+4-5.970010-1 8.465450+4-4.451990-1 8.655660+4-3.233530-1730027506 2635 8.970720+4-1.455040-1 9.048090+4-1.009520-1 9.253770+4 2.500840-3730027506 2636 9.356620+4 4.439520-2 9.698840+4 1.385700-1 1.005790+5 2.532160-1730027506 2637 1.032720+5 3.188080-1 1.049190+5 3.351320-1 1.110030+5 4.381370-1730027506 2638 1.126760+5 4.574140-1 1.143200+5 4.623260-1 1.201610+5 5.127960-1730027506 2639 1.216070+5 5.165270-1 1.225390+5 5.140790-1 1.310780+5 5.557600-1730027506 2640 1.334930+5 5.524540-1 1.415770+5 5.605700-1 1.698960+5 5.162330-1730027506 2641 2.491930+5 3.409070-1 2.928640+5 2.686120-1 3.174130+5 2.366160-1730027506 2642 3.480680+5 2.027750-1 4.113140+5 1.450170-1 4.550780+5 1.177080-1730027506 2643 4.888230+5 1.003560-1 5.567370+5 7.197780-2 5.861120+5 6.136220-2730027506 2644 6.487980+5 4.521750-2 7.303960+5 2.817390-2 7.916940+5 1.971110-2730027506 2645 8.696620+5 1.034280-2 8.973840+5 7.951640-3 9.788540+5 1.430950-3730027506 2646 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0730027506 2647 730027 0 2648 7300 0 0 2649 0 0 0 2650 7.400000+4 1.822710+2 -1 0 0 17400 1451 1 0.000000+0 0.000000+0 0 0 0 67400 1451 2 0.000000+0 0.000000+0 0 0 3 67400 1451 3 0.000000+0 0.000000+0 0 0 133 347400 1451 4 74-W - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7400 1451 6 ----ENDF/B-VI MATERIAL 7400 7400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7400 1451 8 ------ENDF-6 FORMAT 7400 1451 9 =================================================================7400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7400 1451 11 ENDF/B-VI FORMAT 7400 1451 12 =================================================================7400 1451 13 CONTENTS 7400 1451 14 =================================================================7400 1451 15 MF/MT DESCRIPTION 7400 1451 16 =================================================================7400 1451 17 23/501 TOTAL CROSS SECTION 7400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7400 1451 46 =================================================================7400 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7400 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7400 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7400 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7400 1451 51 =================================================================7400 1451 52 WARNING 7400 1451 53 =================================================================7400 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7400 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7400 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7400 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7400 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7400 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7400 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7400 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7400 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7400 1451 63 =================================================================7400 1451 64 DEFINITION OF NEW TYPES OF DATA 7400 1451 65 =================================================================7400 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7400 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7400 1451 68 7400 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7400 1451 70 C2 FIELDS ARE, 7400 1451 71 7400 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7400 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7400 1451 74 7400 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7400 1451 76 7400 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7400 1451 78 7400 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7400 1451 80 T = THE THOMSON CROSS SECTION 7400 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7400 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7400 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7400 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7400 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7400 1451 86 7400 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7400 1451 88 7400 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7400 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7400 1451 91 =================================================================7400 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7400 1451 93 =================================================================7400 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7400 1451 95 HERE - 10 EV TO 100 MEV 7400 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7400 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7400 1451 98 HERE - PHOTON INTERACTION 7400 1451 99 - AVERAGE FLUORESCENCE YIELD 7400 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7400 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7400 1451 102 HERE - NO SECONDARY ENERGY DATA 7400 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7400 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7400 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7400 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7400 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7400 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7400 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7400 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7400 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7400 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7400 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7400 1451 114 =================================================================7400 1451 115 REFERENCES 7400 1451 116 =================================================================7400 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7400 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7400 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7400 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7400 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7400 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7400 1451 123 7400 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7400 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7400 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7400 1451 127 OF THE DATA, ETC. 7400 1451 128 =================================================================7400 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7400 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7400 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7400 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7400 1451 133 *RECONSTRUCTED MT NUMBERS 7400 1451 134 516 =+(515,515)+(517,517) 7400 1451 135 522 =+(534,572) 7400 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7400 1451 137 1 451 171 17400 1451 138 23 501 527 17400 1451 139 23 502 80 17400 1451 140 23 504 24 17400 1451 141 23 515 17 17400 1451 142 23 516 36 17400 1451 143 23 517 23 17400 1451 144 23 522 416 17400 1451 145 23 534 27 17400 1451 146 23 535 33 17400 1451 147 23 536 36 17400 1451 148 23 537 38 17400 1451 149 23 538 37 17400 1451 150 23 539 40 17400 1451 151 23 540 42 17400 1451 152 23 541 53 17400 1451 153 23 542 53 17400 1451 154 23 543 41 17400 1451 155 23 544 43 17400 1451 156 23 545 45 17400 1451 157 23 546 54 17400 1451 158 23 547 55 17400 1451 159 23 548 69 17400 1451 160 23 549 69 17400 1451 161 23 550 45 17400 1451 162 23 551 53 17400 1451 163 23 552 55 17400 1451 164 23 553 65 17400 1451 165 23 554 64 17400 1451 166 23 559 54 17400 1451 167 27 502 51 17400 1451 168 27 504 47 17400 1451 169 27 505 62 17400 1451 170 27 506 103 17400 1451 171 7400 1 0 172 7400 0 0 173 7.400000+4 1.822710+2 0 0 0 0740023501 174 0.000000+0 0.000000+0 0 0 1 1572740023501 175 1572 2 0 0 0 0740023501 176 1.000000+1 1.466580+7 1.056160+1 1.513300+7 1.069140+1 1.526610+7740023501 177 1.093230+1 1.551300+7 1.105590+1 1.563980+7 1.154780+1 1.621350+7740023501 178 1.163350+1 1.631340+7 1.170000+1 1.639860+7 1.226090+1 1.711740+7740023501 179 1.239080+1 1.729570+7 1.298390+1 1.810980+7 1.314360+1 1.834030+7740023501 180 1.355400+1 1.893280+7 1.382530+1 1.926480+7 1.407860+1 1.958720+7740023501 181 1.412390+1 1.964490+7 1.459980+1 2.025080+7 1.500000+1 2.077220+7740023501 182 1.504970+1 2.081320+7 1.587070+1 2.150950+7 1.676420+1 2.228750+7740023501 183 1.688590+1 2.239520+7 1.714330+1 2.262310+7 1.732050+1 2.278000+7740023501 184 1.740210+1 2.279350+7 1.819970+1 2.293320+7 1.894980+1 2.307170+7740023501 185 1.988080+1 2.325090+7 2.000000+1 2.327390+7 2.103980+1 2.279850+7740023501 186 2.213360+1 2.230180+7 2.266210+1 2.185440+7 2.309400+1 2.148880+7740023501 187 2.388200+1 2.082170+7 2.393870+1 2.076670+7 2.457260+1 2.015200+7740023501 188 2.638790+1 1.839540+7 2.773720+1 1.709190+7 2.874410+1 1.611920+7740023501 189 3.000000+1 1.490710+7 3.223710+1 1.273890+7 3.255960+1 1.247600+7740023501 190 3.341740+1 1.177680+7 3.362870+1 1.161920+7 3.590940+1 9.917560+6740023501 191 3.605320+1 9.810300+6 3.659850+1 9.403530+6 3.679820+1 9.276550+6740023501 192 3.865250+1 8.224570+6 3.959840+1 7.687950+6 3.974410+1 7.605290+6740023501 193 3.999640+1 7.483930+6 4.028860+1 7.343380+6 4.106070+1 7.021860+6740023501 194 4.257710+1 6.390400+6 4.316000+1 6.147670+6 4.325000+1 6.114040+6740023501 195 4.325000+1 6.579380+6 4.388460+1 6.352340+6 4.411000+1 6.271700+6740023501 196 4.424720+1 6.226410+6 4.461280+1 6.105710+6 4.480710+1 6.041570+6740023501 197 4.485060+1 6.027210+6 4.494410+1 5.996350+6 4.504180+1 5.964100+6740023501 198 4.516970+1 5.921880+6 4.527600+1 5.886790+6 4.546210+1 5.825370+6740023501 199 4.556000+1 5.793060+6 4.561000+1 5.775960+6 4.561000+1 6.076060+6740023501 200 4.565000+1 6.063400+6 4.565000+1 1.096350+7 4.566420+1 1.095660+7740023501 201 4.586720+1 1.085800+7 4.599780+1 1.079450+7 4.618970+1 1.070130+7740023501 202 4.636980+1 1.061370+7 4.645430+1 1.057270+7 4.656000+1 1.052670+7740023501 203 4.696280+1 1.034710+7 4.793540+1 9.947890+6 4.824360+1 9.821400+6740023501 204 4.868120+1 9.637590+6 4.911690+1 9.452250+6 5.000000+1 9.033350+6740023501 205 5.110150+1 8.532500+6 5.231820+1 7.973150+6 5.233180+1 7.966900+6740023501 206 5.300630+1 7.694710+6 5.480580+1 7.033210+6 5.489790+1 6.999360+6740023501 207 5.525240+1 6.869040+6 5.546290+1 6.791660+6 5.566860+1 6.716050+6740023501 208 5.598110+1 6.601190+6 5.602000+1 6.586890+6 5.602000+1 8.827480+6740023501 209 5.603490+1 8.821560+6 5.640920+1 8.690270+6 5.663010+1 8.612790+6740023501 210 5.673720+1 8.575220+6 5.711570+1 8.442450+6 5.714000+1 8.434860+6740023501 211 5.855250+1 7.993570+6 5.956660+1 7.683300+6 6.000000+1 7.550690+6740023501 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1.966860+2740023548 1937 7.290130+3 1.588730+2 7.636820+3 1.310990+2 8.000000+3 1.081800+2740023548 1938 8.376710+3 8.875590+1 8.875830+3 6.919720+1 9.316361+3 5.618320+1740023548 1939 9.832731+3 4.454940+1 1.039520+4 3.506940+1 1.079710+4 2.979050+1740023548 1940 1.129990+4 2.449390+1 1.194260+4 1.921940+1 1.264290+4 1.492180+1740023548 1941 1.340810+4 1.149400+1 1.395630+4 9.620250+0 1.464370+4 7.770410+0740023548 1942 1.554920+4 5.931070+0 1.604630+4 5.141160+0 1.695460+4 4.003450+0740023548 1943 1.794520+4 3.093230+0 1.865360+4 2.594390+0 1.954080+4 2.100780+0740023548 1944 2.051330+4 1.680730+0 2.151150+4 1.348240+0 2.242480+4 1.111740+0740023548 1945 2.365370+4 8.679680-1 2.436700+4 7.562170-1 2.566740+4 5.941510-1740023548 1946 2.708120+4 4.633130-1 2.808950+4 3.910410-1 2.934910+4 3.190360-1740023548 1947 3.065690+4 2.601020-1 3.197090+4 2.132620-1 3.325390+4 1.770410-1740023548 1948 3.512470+4 1.366510-1 3.689430+4 1.082990-1 3.859630+4 8.749050-2740023548 1949 4.071440+4 6.795010-2 4.273640+4 5.402570-2 4.458790+4 4.420370-2740023548 1950 4.708200+4 3.416860-2 4.853080+4 2.960450-2 5.117420+4 2.303490-2740023548 1951 5.405100+4 1.778310-2 5.610470+4 1.490690-2 5.867240+4 1.206260-2740023548 1952 6.194650+4 9.334790-3 6.473050+4 7.587520-3 6.739490+4 6.273590-3740023548 1953 7.080250+4 4.971980-3 7.392520+4 4.056650-3 7.813529+4 3.124410-3740023548 1954 8.058260+4 2.701630-3 8.505129+4 2.094720-3 8.991940+4 1.611290-3740023548 1955 9.339729+4 1.347340-3 9.774879+4 1.087040-3 1.025670+5 8.690250-4740023548 1956 1.075580+5 6.984980-4 1.121240+5 5.769750-4 1.182690+5 4.514700-4740023548 1957 1.218350+5 3.938330-4 1.283370+5 3.101050-4 1.354060+5 2.423600-4740023548 1958 1.404470+5 2.048680-4 1.467460+5 1.674520-4 1.527210+5 1.397620-4740023548 1959 1.604630+5 1.121880-4 1.695460+5 8.783280-5 1.794520+5 6.824100-5740023548 1960 1.865360+5 5.745270-5 1.954080+5 4.673350-5 2.038380+5 3.886010-5740023548 1961 2.147750+5 3.107960-5 2.276470+5 2.423380-5 2.417300+5 1.874960-5740023548 1962 2.518290+5 1.574040-5 2.645050+5 1.275980-5 2.780380+5 1.034480-5740023548 1963 2.924930+5 8.387670-6 3.054430+5 7.029600-6 3.209250+5 5.770450-6740023548 1964 3.390920+5 4.631770-6 3.597000+5 3.659870-6 3.793150+5 2.960830-6740023548 1965 4.000000+5 2.395300-6 4.229490+5 1.939720-6 4.410200+5 1.655860-6740023548 1966 4.695850+5 1.306030-6 5.000000+5 1.030100-6 5.233180+5 8.758700-7740023548 1967 5.603490+5 6.867210-7 6.000000+5 5.384200-7 6.447420+5 4.256180-7740023548 1968 6.943790+5 3.339850-7 7.303960+5 2.830980-7 7.760910+5 2.321610-7740023548 1969 8.226280+5 1.928090-7 8.820400+5 1.552960-7 9.391700+5 1.278170-7740023548 1970 1.000000+6 1.052000-7 1.074770+6 9.122890-8 1.188630+6 7.491400-8740023548 1971 1.308290+6 6.238540-8 1.433160+6 5.268560-8 1.554920+6 4.547010-8740023548 1972 1.701190+6 3.886400-8 1.894980+6 3.219090-8 2.044000+6 2.827680-8740023548 1973 2.332190+6 2.293280-8 2.551640+6 1.988050-8 2.842410+6 1.674920-8740023548 1974 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5.226200+5740023549 1989 6.653100+1 5.683880+5 7.117820+1 6.565510+5 8.071150+1 9.338260+5740023549 1990 8.989300+1 1.263010+6 1.073980+2 1.977420+6 1.217220+2 2.521250+6740023549 1991 1.370950+2 3.006830+6 1.554920+2 3.414710+6 1.762390+2 3.654420+6740023549 1992 2.000000+2 3.715020+6 2.361230+2 3.552190+6 2.799280+2 3.176020+6740023549 1993 3.632540+2 2.341410+6 4.472140+2 1.677900+6 5.233180+2 1.248770+6740023549 1994 5.732660+2 1.029500+6 6.340690+2 8.184570+5 6.888350+2 6.705710+5740023549 1995 7.733960+2 5.026650+5 8.397950+2 4.024780+5 9.044130+2 3.295030+5740023549 1996 9.740040+2 2.697590+5 1.045180+3 2.189040+5 1.101960+3 1.871600+5740023549 1997 1.192960+3 1.479620+5 1.291480+3 1.169740+5 1.374810+3 9.548229+4740023549 1998 1.448680+3 8.056220+4 1.535610+3 6.667360+4 1.634560+3 5.443860+4740023549 1999 1.761740+3 4.268260+4 1.908070+3 3.260390+4 2.045260+3 2.558690+4740023549 2000 2.164590+3 2.099240+4 2.300180+3 1.698120+4 2.429460+3 1.403080+4740023549 2001 2.618260+3 1.075960+4 2.767520+3 8.764020+3 2.943790+3 6.974040+3740023549 2002 3.137320+3 5.510170+3 3.276530+3 4.692470+3 3.451750+3 3.869770+3740023549 2003 3.698740+3 2.970400+3 3.904610+3 2.404240+3 4.085700+3 2.014260+3740023549 2004 4.297270+3 1.653930+3 4.536120+3 1.339080+3 4.762410+3 1.107300+3740023549 2005 5.123080+3 8.289840+2 5.362090+3 6.879960+2 5.685220+3 5.416110+2740023549 2006 6.043370+3 4.219040+2 6.352540+3 3.440540+2 6.701360+3 2.765100+2740023549 2007 7.031640+3 2.271370+2 7.532750+3 1.707400+2 7.974641+3 1.337770+2740023549 2008 8.231830+3 1.167840+2 8.702031+3 9.207390+1 9.215071+3 7.205500+1740023549 2009 9.582100+3 6.096340+1 1.004190+4 4.988330+1 1.065900+4 3.845370+1740023549 2010 1.100210+4 3.343190+1 1.162930+4 2.616990+1 1.231350+4 2.032910+1740023549 2011 1.280300+4 1.711330+1 1.341610+4 1.391850+1 1.414940+4 1.094560+1740023549 2012 1.493720+4 8.534780+0 1.568980+4 6.810290+0 1.637930+4 5.589750+0740023549 2013 1.730880+4 4.338270+0 1.784910+4 3.767250+0 1.883540+4 2.942820+0740023549 2014 1.990970+4 2.281130+0 2.067700+4 1.917490+0 2.163700+4 1.556790+0740023549 2015 2.266500+4 1.253270+0 2.373100+4 1.007460+0 2.477600+4 8.209960-1740023549 2016 2.579740+4 6.776540-1 2.728860+4 5.188970-1 2.870120+4 4.082980-1740023549 2017 3.006140+4 3.276850-1 3.092470+4 2.864530-1 3.261070+4 2.226120-1740023549 2018 3.416120+4 1.785390-1 3.557820+4 1.471950-1 3.744430+4 1.154620-1740023549 2019 3.908120+4 9.422720-2 4.098850+4 7.514250-2 4.247980+4 6.341150-2740023549 2020 4.481900+4 4.915760-2 4.728710+4 3.810780-2 4.955320+4 3.045660-2740023549 2021 5.177610+4 2.468500-2 5.395060+4 2.027160-2 5.607210+4 1.685350-2740023549 2022 5.913040+4 1.306950-2 6.208310+4 1.034980-2 6.486010+4 8.393470-3740023549 2023 6.751740+4 6.925510-3 7.091510+4 5.474680-3 7.402800+4 4.456840-3740023549 2024 7.822400+4 3.422820-3 8.175340+4 2.770910-3 8.482940+4 2.321780-3740023549 2025 8.839129+4 1.906740-3 9.237390+4 1.544020-3 9.739050+4 1.198640-3740023549 2026 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1.176520-1740027506 2659 5.046020+5 9.618490-2 5.524000+5 7.608140-2 5.861120+5 6.339830-2740027506 2660 6.487980+5 4.676460-2 7.303960+5 2.909750-2 8.052980+5 1.853950-2740027506 2661 8.696620+5 1.066910-2 8.973840+5 8.210220-3 9.788740+5 1.467740-3740027506 2662 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0740027506 2663 740027 0 2664 7400 0 0 2665 0 0 0 2666 7.500000+4 1.846010+2 -1 0 0 17500 1451 1 0.000000+0 0.000000+0 0 0 0 67500 1451 2 0.000000+0 0.000000+0 0 0 3 67500 1451 3 0.000000+0 0.000000+0 0 0 133 347500 1451 4 75-RE- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7500 1451 6 ----ENDF/B-VI MATERIAL 7500 7500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7500 1451 8 ------ENDF-6 FORMAT 7500 1451 9 =================================================================7500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7500 1451 11 ENDF/B-VI FORMAT 7500 1451 12 =================================================================7500 1451 13 CONTENTS 7500 1451 14 =================================================================7500 1451 15 MF/MT DESCRIPTION 7500 1451 16 =================================================================7500 1451 17 23/501 TOTAL CROSS SECTION 7500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7500 1451 46 =================================================================7500 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7500 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7500 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7500 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7500 1451 51 =================================================================7500 1451 52 WARNING 7500 1451 53 =================================================================7500 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7500 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7500 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7500 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7500 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7500 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7500 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7500 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7500 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7500 1451 63 =================================================================7500 1451 64 DEFINITION OF NEW TYPES OF DATA 7500 1451 65 =================================================================7500 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7500 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7500 1451 68 7500 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7500 1451 70 C2 FIELDS ARE, 7500 1451 71 7500 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7500 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7500 1451 74 7500 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7500 1451 76 7500 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7500 1451 78 7500 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7500 1451 80 T = THE THOMSON CROSS SECTION 7500 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7500 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7500 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7500 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7500 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7500 1451 86 7500 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7500 1451 88 7500 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7500 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7500 1451 91 =================================================================7500 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7500 1451 93 =================================================================7500 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7500 1451 95 HERE - 10 EV TO 100 MEV 7500 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7500 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7500 1451 98 HERE - PHOTON INTERACTION 7500 1451 99 - AVERAGE FLUORESCENCE YIELD 7500 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7500 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7500 1451 102 HERE - NO SECONDARY ENERGY DATA 7500 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7500 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7500 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7500 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7500 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7500 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7500 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7500 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7500 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7500 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7500 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7500 1451 114 =================================================================7500 1451 115 REFERENCES 7500 1451 116 =================================================================7500 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7500 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7500 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7500 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7500 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7500 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7500 1451 123 7500 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7500 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7500 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7500 1451 127 OF THE DATA, ETC. 7500 1451 128 =================================================================7500 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7500 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7500 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7500 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7500 1451 133 *RECONSTRUCTED MT NUMBERS 7500 1451 134 516 =+(515,515)+(517,517) 7500 1451 135 522 =+(534,572) 7500 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7500 1451 137 1 451 171 17500 1451 138 23 501 503 17500 1451 139 23 502 80 17500 1451 140 23 504 24 17500 1451 141 23 515 17 17500 1451 142 23 516 37 17500 1451 143 23 517 23 17500 1451 144 23 522 395 17500 1451 145 23 534 27 17500 1451 146 23 535 33 17500 1451 147 23 536 36 17500 1451 148 23 537 38 17500 1451 149 23 538 37 17500 1451 150 23 539 39 17500 1451 151 23 540 42 17500 1451 152 23 541 54 17500 1451 153 23 542 52 17500 1451 154 23 543 41 17500 1451 155 23 544 43 17500 1451 156 23 545 45 17500 1451 157 23 546 55 17500 1451 158 23 547 55 17500 1451 159 23 548 68 17500 1451 160 23 549 67 17500 1451 161 23 550 45 17500 1451 162 23 551 52 17500 1451 163 23 552 55 17500 1451 164 23 553 66 17500 1451 165 23 554 65 17500 1451 166 23 559 54 17500 1451 167 27 502 50 17500 1451 168 27 504 47 17500 1451 169 27 505 61 17500 1451 170 27 506 105 17500 1451 171 7500 1 0 172 7500 0 0 173 7.500000+4 1.846010+2 0 0 0 0750023501 174 0.000000+0 0.000000+0 0 0 1 1499750023501 175 1499 2 0 0 0 0750023501 176 1.000000+1 1.304320+7 1.056160+1 1.350680+7 1.072870+1 1.368500+7750023501 177 1.098320+1 1.395650+7 1.105590+1 1.403400+7 1.154780+1 1.464580+7750023501 178 1.163350+1 1.475230+7 1.164220+1 1.476430+7 1.182160+1 1.502960+7750023501 179 1.208650+1 1.542130+7 1.272740+1 1.643660+7 1.279920+1 1.655030+7750023501 180 1.355400+1 1.781840+7 1.365690+1 1.799780+7 1.407860+1 1.873310+7750023501 181 1.434880+1 1.920430+7 1.470950+1 1.985150+7 1.500000+1 2.037280+7750023501 182 1.504970+1 2.044590+7 1.587070+1 2.168390+7 1.676420+1 2.305730+7750023501 183 1.688590+1 2.324670+7 1.740210+1 2.404990+7 1.760150+1 2.436280+7750023501 184 1.795470+1 2.491700+7 1.819970+1 2.514510+7 1.894980+1 2.585220+7750023501 185 1.988080+1 2.673880+7 2.000000+1 2.685230+7 2.103980+1 2.715840+7750023501 186 2.213360+1 2.748540+7 2.269350+1 2.735120+7 2.309400+1 2.725520+7750023501 187 2.332120+1 2.720080+7 2.388200+1 2.706760+7 2.457260+1 2.657710+7750023501 188 2.638790+1 2.529320+7 2.676670+1 2.502610+7 2.773720+1 2.397010+7750023501 189 2.874410+1 2.287440+7 3.000000+1 2.150940+7 3.170720+1 1.948520+7750023501 190 3.223710+1 1.885690+7 3.255960+1 1.847480+7 3.296980+1 1.798870+7750023501 191 3.581040+1 1.501780+7 3.590940+1 1.491420+7 3.689100+1 1.388790+7750023501 192 3.746230+1 1.343730+7 4.044450+1 1.108490+7 4.117140+1 1.051150+7750023501 193 4.270190+1 9.558730+6 4.348200+1 9.073080+6 4.425220+1 8.593590+6750023501 194 4.481170+1 8.329660+6 4.485060+1 8.311310+6 4.574160+1 7.891020+6750023501 195 4.688290+1 7.352660+6 4.722150+1 7.192940+6 4.746420+1 7.095360+6750023501 196 4.825490+1 6.777460+6 4.831240+1 6.756980+6 4.854120+1 6.675460+6750023501 197 4.867870+1 6.626480+6 4.878460+1 6.588750+6 4.890880+1 6.544510+6750023501 198 4.904260+1 6.496840+6 4.936850+1 6.380750+6 4.940000+1 6.369530+6750023501 199 4.940000+1 1.031240+7 4.951640+1 1.026700+7 4.959050+1 1.023800+7750023501 200 4.977790+1 1.016490+7 4.992140+1 1.010890+7 5.012640+1 1.002880+7750023501 201 5.039000+1 9.925940+6 5.202430+1 9.168610+6 5.282300+1 8.798500+6750023501 202 5.289000+1 8.773400+6 5.299000+1 8.731470+6 5.299000+1 9.117030+6750023501 203 5.358400+1 8.879470+6 5.405000+1 8.693110+6 5.412340+1 8.663740+6750023501 204 5.553000+1 8.100950+6 5.564000+1 8.055690+6 5.564000+1 8.317280+6750023501 205 5.669460+1 7.897730+6 5.772140+1 7.559760+6 5.876000+1 7.217900+6750023501 206 5.887900+1 7.177750+6 6.013460+1 6.744840+6 6.036370+1 6.665850+6750023501 207 6.058750+1 6.588690+6 6.078300+1 6.521290+6 6.085000+1 6.500170+6750023501 208 6.097000+1 6.466390+6 6.097000+1 8.313840+6 6.109780+1 8.274430+6750023501 209 6.151860+1 8.144660+6 6.175310+1 8.072340+6 6.219000+1 7.937600+6750023501 210 6.310140+1 7.651180+6 6.417880+1 7.312590+6 6.469590+1 7.161520+6750023501 211 6.526480+1 7.007720+6 6.532920+1 6.991540+6 6.781350+1 6.333860+6750023501 212 6.818530+1 6.244030+6 7.000000+1 5.831270+6 7.193660+1 5.388950+6750023501 213 7.237620+1 5.296260+6 7.421120+1 4.931460+6 7.437960+1 4.899590+6750023501 214 7.480880+1 4.818360+6 7.483320+1 4.813890+6 7.586120+1 4.629790+6750023501 215 7.609270+1 4.591320+6 7.802190+1 4.292210+6 7.909650+1 4.132820+6750023501 216 8.000000+1 4.009040+6 8.156370+1 3.836590+6 8.161360+1 3.831480+6750023501 217 8.245270+1 3.745490+6 8.315800+1 3.679980+6 8.451940+1 3.561950+6750023501 218 8.485280+1 3.533060+6 8.554860+1 3.477030+6 8.560810+1 3.472710+6750023501 219 8.775580+1 3.347710+6 8.813040+1 3.329220+6 9.042930+1 3.227000+6750023501 220 9.060480+1 3.219200+6 9.072690+1 3.213770+6 9.157000+1 3.184350+6750023501 221 9.157000+1 3.252040+6 9.285180+1 3.206230+6 9.340000+1 3.186630+6750023501 222 9.548290+1 3.154170+6 9.664370+1 3.143300+6 9.830750+1 3.133780+6750023501 223 9.994731+1 3.127850+6 1.000000+2 3.127930+6 1.016680+2 3.139180+6750023501 224 1.019190+2 3.141930+6 1.025600+2 3.150620+6 1.025670+2 3.150720+6750023501 225 1.049110+2 3.188400+6 1.066500+2 3.224040+6 1.071800+2 3.234900+6750023501 226 1.072180+2 3.235810+6 1.073870+2 3.240190+6 1.074610+2 3.242260+6750023501 227 1.075580+2 3.244960+6 1.090100+2 3.287800+6 1.105590+2 3.333920+6750023501 228 1.106680+2 3.337330+6 1.121240+2 3.382910+6 1.124100+2 3.392240+6750023501 229 1.149560+2 3.481020+6 1.156860+2 3.508840+6 1.163350+2 3.533690+6750023501 230 1.182690+2 3.610630+6 1.190230+2 3.641490+6 1.194100+2 3.658100+6750023501 231 1.226090+2 3.806590+6 1.248240+2 3.911540+6 1.250440+2 3.922350+6750023501 232 1.251320+2 3.926740+6 1.270790+2 4.023940+6 1.286400+2 4.102910+6750023501 233 1.288420+2 4.113130+6 1.308640+2 4.212680+6 1.326590+2 4.302050+6750023501 234 1.338340+2 4.361090+6 1.346840+2 4.404900+6 1.355400+2 4.449950+6750023501 235 1.374000+2 4.549000+6 1.402550+2 4.702260+6 1.425870+2 4.810590+6750023501 236 1.435620+2 4.857090+6 1.500000+2 5.166140+6 1.512470+2 5.229270+6750023501 237 1.537240+2 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8.000000+1 3.541560+5750023548 1875 8.485280+1 4.002260+5 9.340000+1 5.337550+5 1.016680+2 7.009140+5750023548 1876 1.194100+2 1.134010+6 1.288420+2 1.397170+6 1.537240+2 2.033050+6750023548 1877 1.575410+2 2.119290+6 1.761920+2 2.379540+6 2.000000+2 2.575400+6750023548 1878 2.317590+2 2.632840+6 2.580180+2 2.569630+6 4.249420+2 1.511950+6750023548 1879 4.878380+2 1.191540+6 5.507810+2 9.419500+5 6.012220+2 7.826120+5750023548 1880 6.672980+2 6.165900+5 7.306430+2 4.954870+5 8.000000+2 3.981700+5750023548 1881 8.458970+2 3.426570+5 9.197270+2 2.735560+5 1.000000+3 2.183900+5750023548 1882 1.078990+3 1.744250+5 1.166990+3 1.383360+5 1.231060+3 1.181120+5750023548 1883 1.312620+3 9.770629+4 1.414410+3 7.746090+4 1.523920+3 6.090970+4750023548 1884 1.645740+3 4.753650+4 1.734330+3 4.014430+4 1.846970+3 3.277470+4750023548 1885 1.990530+3 2.546800+4 2.137400+3 1.988520+4 2.265340+3 1.624680+4750023548 1886 2.410940+3 1.308380+4 2.549960+3 1.076730+4 2.764260+3 8.086290+3750023548 1887 2.958020+3 6.287750+3 3.071730+3 5.465880+3 3.281350+3 4.277590+3750023548 1888 3.512510+3 3.322090+3 3.679390+3 2.796130+3 3.890140+3 2.273690+3750023548 1889 4.113140+3 1.839370+3 4.318900+3 1.521100+3 4.550780+3 1.240950+3750023548 1890 4.845540+3 9.720030+2 5.115260+3 7.852980+2 5.415170+3 6.252570+2750023548 1891 5.700090+3 5.093070+2 6.000000+3 4.148600+2 6.318310+3 3.353180+2750023548 1892 6.597670+3 2.805980+2 6.923340+3 2.301020+2 7.290130+3 1.860380+2750023548 1893 7.636820+3 1.536440+2 8.142431+3 1.176980+2 8.547330+3 9.570950+1750023548 1894 9.021970+3 7.602150+1 9.539081+3 5.995030+1 1.013700+4 4.626690+1750023548 1895 1.061000+4 3.809600+1 1.107930+4 3.148270+1 1.169920+4 2.476950+1750023548 1896 1.224460+4 2.026480+1 1.288190+4 1.620550+1 1.338160+4 1.370420+1750023548 1897 1.416770+4 1.065710+1 1.500000+4 8.287500+0 1.579580+4 6.558200+0750023548 1898 1.649420+4 5.391590+0 1.730830+4 4.334940+0 1.822530+4 3.431480+0750023548 1899 1.909200+4 2.780550+0 2.000000+4 2.253100+0 2.103980+4 1.782180+0750023548 1900 2.199390+4 1.451620+0 2.325560+4 1.121460+0 2.436700+4 9.036190-1750023548 1901 2.566740+4 7.104420-1 2.708120+4 5.543800-1 2.808950+4 4.681250-1750023548 1902 2.934910+4 3.821440-1 3.065690+4 3.117380-1 3.197090+4 2.557560-1750023548 1903 3.325390+4 2.124390-1 3.512470+4 1.641050-1 3.689430+4 1.301500-1750023548 1904 3.859630+4 1.052120-1 4.071440+4 8.177720-2 4.273640+4 6.506520-2750023548 1905 4.458790+4 5.326910-2 4.708200+4 4.120860-2 4.853080+4 3.571990-2750023548 1906 5.117420+4 2.781470-2 5.405100+4 2.149030-2 5.610470+4 1.802420-2750023548 1907 5.867240+4 1.459470-2 6.194650+4 1.130200-2 6.473050+4 9.190990-3750023548 1908 6.739490+4 7.602800-3 7.080250+4 6.028740-3 7.392520+4 4.921230-3750023548 1909 7.813529+4 3.792650-3 8.058260+4 3.280580-3 8.505129+4 2.545140-3750023548 1910 8.991940+4 1.958980-3 9.339729+4 1.638770-3 9.774879+4 1.322840-3750023548 1911 1.025670+5 1.058050-3 1.075580+5 8.508050-4 1.121240+5 7.030540-4750023548 1912 1.182690+5 5.503970-4 1.250440+5 4.262670-4 1.308640+5 3.459690-4750023548 1913 1.374000+5 2.766410-4 1.435620+5 2.262090-4 1.500000+5 1.849700-4750023548 1914 1.579580+5 1.470570-4 1.649420+5 1.213710-4 1.730830+5 9.800920-5750023548 1915 1.822530+5 7.794490-5 1.909200+5 6.342440-5 2.000000+5 5.160900-5750023548 1916 2.112330+5 4.086690-5 2.211170+5 3.361570-5 2.326710+5 2.704420-5750023548 1917 2.457200+5 2.142190-5 2.580890+5 1.736850-5 2.710810+5 1.408210-5750023548 1918 2.851740+5 1.142430-5 3.000000+5 9.268200-6 3.109840+5 8.033140-6750023548 1919 3.311840+5 6.254510-6 3.533890+5 4.831750-6 3.693770+5 4.052100-6750023548 1920 3.895200+5 3.280730-6 4.113140+5 2.655820-6 4.318900+5 2.207210-6750023548 1921 4.550780+5 1.810290-6 4.845540+5 1.427030-6 5.115260+5 1.168280-6750023548 1922 5.415170+5 9.538250-7 5.798350+5 7.477840-7 6.000000+5 6.621100-7750023548 1923 6.447420+5 5.231820-7 6.943790+5 4.103740-7 7.303960+5 3.477490-7750023548 1924 7.760910+5 2.850820-7 8.226280+5 2.370910-7 8.820400+5 1.917130-7750023548 1925 9.391700+5 1.583480-7 1.000000+6 1.307900-7 1.074770+6 1.134280-7750023548 1926 1.188630+6 9.314720-8 1.308290+6 7.756390-8 1.433160+6 6.549240-8750023548 1927 1.554920+6 5.651920-8 1.701190+6 4.831080-8 1.894980+6 4.001860-8750023548 1928 2.044000+6 3.513420-8 2.332190+6 2.849350-8 2.551640+6 2.470080-8750023548 1929 2.842410+6 2.080990-8 3.000000+6 1.910070-8 3.464100+6 1.547390-8750023548 1930 4.000000+6 1.253580-8 4.472140+6 1.074190-8 5.000000+6 9.204650-9750023548 1931 5.732660+6 7.675770-9 6.480740+6 6.542040-9 7.483310+6 5.445670-9750023548 1932 8.485280+6 4.656080-9 1.000000+7 3.811960-9 1.148910+7 3.232750-9750023548 1933 1.349070+7 2.679430-9 1.600000+7 2.203900-9 1.897370+7 1.819720-9750023548 1934 2.200000+7 1.544270-9 2.600000+7 1.286580-9 3.000000+7 1.102110-9750023548 1935 3.464100+7 9.45476-10 4.000000+7 8.11103-10 4.728710+7 6.80170-10750023548 1936 5.477230+7 5.83132-10 6.447420+7 4.92166-10 7.444840+7 4.24160-10750023548 1937 8.944271+7 3.51176-10 1.000000+8 3.13191-10 0.000000+0 0.000000+0750023548 1938 750023 0 1939 7.500000+4 1.846010+2 0 0 0 0750023549 1940 5.299000+1 0.000000+0 0 0 1 192750023549 1941 192 2 0 0 0 0750023549 1942 5.299000+1 0.000000+0 5.299000+1 3.855560+5 5.553000+1 4.347580+5750023549 1943 5.876000+1 4.606270+5 7.000000+1 4.581870+5 7.480880+1 4.777800+5750023549 1944 8.000000+1 5.308730+5 8.554860+1 6.308620+5 9.548290+1 8.885700+5750023549 1945 1.049110+2 1.191790+6 1.402550+2 2.484780+6 1.554920+2 2.932100+6750023549 1946 1.725630+2 3.275700+6 1.930110+2 3.496940+6 2.191970+2 3.567600+6750023549 1947 2.505530+2 3.458880+6 2.838200+2 3.220900+6 3.811850+2 2.322310+6750023549 1948 4.550970+2 1.757890+6 5.169140+2 1.386390+6 5.940360+2 1.037580+6750023549 1949 6.448450+2 8.611910+5 7.223390+2 6.592270+5 7.813560+2 5.384930+5750023549 1950 8.385820+2 4.488600+5 9.279590+2 3.429480+5 1.001710+3 2.758650+5750023549 1951 1.073090+3 2.267870+5 1.173080+3 1.750910+5 1.240250+3 1.473190+5750023549 1952 1.319600+3 1.215430+5 1.410260+3 9.890900+4 1.497170+3 8.216570+4750023549 1953 1.635740+3 6.203170+4 1.757510+3 4.884110+4 1.874840+3 3.938580+4750023549 1954 2.000000+3 3.176100+4 2.124850+3 2.566350+4 2.235320+3 2.146990+4750023549 1955 2.365110+3 1.760120+4 2.512550+3 1.422620+4 2.653080+3 1.174580+4750023549 1956 2.801480+3 9.697800+3 2.970830+3 7.801770+3 3.104540+3 6.627241+3750023549 1957 3.316460+3 5.188510+3 3.542840+3 4.062120+3 3.769090+3 3.193610+3750023549 1958 3.969510+3 2.611220+3 4.205290+3 2.086750+3 4.463100+3 1.655980+3750023549 1959 4.762410+3 1.286790+3 5.123080+3 9.645770+2 5.362090+3 8.011020+2750023549 1960 5.685220+3 6.312310+2 6.043370+3 4.921880+2 6.352540+3 4.016840+2750023549 1961 6.701360+3 3.230990+2 7.031640+3 2.656070+2 7.378210+3 2.183460+2750023549 1962 7.720960+3 1.798390+2 8.174780+3 1.408950+2 8.575050+3 1.148660+2750023549 1963 9.043911+3 9.149650+1 9.554290+3 7.236540+1 1.014400+4 5.602690+1750023549 1964 1.084210+4 4.200810+1 1.150690+4 3.225700+1 1.206830+4 2.611000+1750023549 1965 1.255920+4 2.187560+1 1.312940+4 1.796310+1 1.376910+4 1.454420+1750023549 1966 1.457790+4 1.128910+1 1.536920+4 8.896580+0 1.608610+4 7.218280+0750023549 1967 1.705540+4 5.519770+0 1.787310+4 4.453080+0 1.858760+4 3.720540+0750023549 1968 1.941690+4 3.045660+0 2.034660+4 2.457810+0 2.122130+4 2.026420+0750023549 1969 2.254670+4 1.531040+0 2.377790+4 1.191140+0 2.494080+4 9.507260-1750023549 1970 2.605770+4 7.730740-1 2.749170+4 6.003020-1 2.881100+4 4.811160-1750023549 1971 3.001730+4 3.964100-1 3.160650+4 3.107100-1 3.300110+4 2.534050-1750023549 1972 3.462670+4 2.019360-1 3.589830+4 1.703190-1 3.789370+4 1.319280-1750023549 1973 4.000000+4 1.021900-1 4.177090+4 8.304910-2 4.350240+4 6.837410-2750023549 1974 4.600450+4 5.231380-2 4.842670+4 4.091930-2 5.071040+4 3.281860-2750023549 1975 5.290050+4 2.680480-2 5.570750+4 2.092740-2 5.828550+4 1.685220-2750023549 1976 6.169820+4 1.283350-2 6.470770+4 1.021710-2 6.823220+4 7.925990-3750023549 1977 7.206800+4 6.100080-3 7.480629+4 5.102700-3 7.822990+4 4.118680-3750023549 1978 8.232079+4 3.234040-3 8.685520+4 2.512320-3 9.102729+4 2.014250-3750023549 1979 9.484200+4 1.660140-3 9.986790+4 1.301760-3 1.042790+5 1.062030-3750023549 1980 1.094200+5 8.466350-4 1.134420+5 7.142770-4 1.197530+5 5.535060-4750023549 1981 1.264160+5 4.289210-4 1.320840+5 3.513070-4 1.395750+5 2.733040-4750023549 1982 1.461700+5 2.215060-4 1.538820+5 1.752880-4 1.622620+5 1.377030-4750023549 1983 1.682350+5 1.168110-4 1.756940+5 9.588050-5 1.831030+5 7.977090-5750023549 1984 1.932490+5 6.310580-5 2.044420+5 4.940970-5 2.140630+5 4.046100-5750023549 1985 2.248730+5 3.266340-5 2.350680+5 2.693920-5 2.457260+5 2.221810-5750023549 1986 2.542080+5 1.932580-5 2.697620+5 1.514050-5 2.868000+5 1.177150-5750023549 1987 2.990290+5 9.915260-6 3.143950+5 8.069930-6 3.311840+5 6.558040-6750023549 1988 3.471900+5 5.462120-6 3.651980+5 4.490310-6 3.880460+5 3.549560-6750023549 1989 4.000000+5 3.155900-6 4.229490+5 2.579480-6 4.410200+5 2.217370-6750023549 1990 4.695850+5 1.767250-6 5.000000+5 1.408500-6 5.233180+5 1.210150-6750023549 1991 5.603490+5 9.637509-7 6.000000+5 7.675200-7 6.447420+5 6.169410-7750023549 1992 6.943790+5 4.925310-7 7.528970+5 3.852410-7 8.000000+5 3.204100-7750023549 1993 8.458970+5 2.738240-7 9.197270+5 2.163310-7 1.000000+6 1.709100-7750023549 1994 1.074770+6 1.482230-7 1.188630+6 1.217200-7 1.308290+6 1.013570-7750023549 1995 1.433160+6 8.558230-8 1.554920+6 7.385650-8 1.701190+6 6.313020-8750023549 1996 1.894980+6 5.229440-8 2.044000+6 4.591160-8 2.332190+6 3.723390-8750023549 1997 2.551640+6 3.227780-8 2.842410+6 2.719330-8 3.000000+6 2.495980-8750023549 1998 3.464100+6 2.022060-8 4.000000+6 1.638120-8 4.472140+6 1.403700-8750023549 1999 5.000000+6 1.202820-8 5.732660+6 1.003030-8 6.480740+6 8.548810-9750023549 2000 7.483310+6 7.116140-9 8.485280+6 6.084340-9 1.000000+7 4.981290-9750023549 2001 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7.167390+3750023550 2016 1.437240+3 5.731330+3 1.585210+3 4.920920+3 1.783020+3 4.098230+3750023550 2017 2.003300+3 3.394970+3 2.216100+3 2.865990+3 2.469250+3 2.390330+3750023550 2018 2.811490+3 1.922550+3 3.197810+3 1.538510+3 3.575870+3 1.260370+3750023550 2019 3.888470+3 1.085300+3 4.409350+3 8.672060+2 5.000000+3 6.929400+2750023550 2020 5.623410+3 5.552150+2 6.347820+3 4.417940+2 6.894540+3 3.780550+2750023550 2021 7.613100+3 3.135860+2 8.467401+3 2.552870+2 9.352010+3 2.097730+2750023550 2022 1.040260+4 1.699730+2 1.144870+4 1.406530+2 1.296920+4 1.096310+2750023550 2023 1.404110+4 9.299890+1 1.533940+4 7.742900+1 1.686390+4 6.362760+1750023550 2024 1.836510+4 5.332290+1 2.000000+4 4.468700+1 2.213360+4 3.586050+1750023550 2025 2.457260+4 2.858020+1 2.638790+4 2.448340+1 2.874410+4 2.033470+1750023550 2026 3.197810+4 1.603000+1 3.381560+4 1.411940+1 3.728900+4 1.130740+1750023550 2027 4.124490+4 8.992830+0 4.418020+4 7.692680+0 4.797950+4 6.378160+0750023550 2028 5.302550+4 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1.223260+4-1.453250+1750027506 2572 1.231340+4-1.410960+1 1.240550+4-1.401080+1 1.245650+4-1.394330+1750027506 2573 1.251910+4-1.360560+1 1.255980+4-1.329200+1 1.265640+4-1.214580+1750027506 2574 1.275180+4-1.112780+1 1.281380+4-1.055320+1 1.297970+4-9.417690+0750027506 2575 1.327020+4-7.968660+0 1.360810+4-6.734840+0 1.384010+4-6.041180+0750027506 2576 1.420340+4-5.141120+0 1.469020+4-4.154780+0 1.502040+4-3.583720+0750027506 2577 1.527960+4-3.238790+0 1.584840+4-2.528200+0 1.620950+4-2.152380+0750027506 2578 1.659590+4-1.849670+0 1.705540+4-1.474070+0 1.730830+4-1.289530+0750027506 2579 1.752240+4-1.174870+0 1.798500+4-9.640290-1 1.829680+4-8.129380-1750027506 2580 1.866990+4-6.899350-1 1.938230+4-4.375670-1 1.950780+4-3.959770-1750027506 2581 1.980250+4-3.147410-1 1.991660+4-2.857680-1 2.000000+4-2.689810-1750027506 2582 2.028230+4-2.255910-1 2.093920+4-1.032470-1 2.116180+4-6.338270-2750027506 2583 2.126690+4-4.352480-2 2.142150+4-2.076530-2 2.151150+4-1.137830-2750027506 2584 2.175810+4 1.408320-2 2.195430+4 3.410930-2 2.242480+4 6.965080-2750027506 2585 2.274800+4 9.539600-2 2.293660+4 1.069350-1 2.359780+4 1.401900-1750027506 2586 2.453360+4 1.686810-1 2.576680+4 1.701140-1 2.700610+4 1.402460-1750027506 2587 2.857870+4 1.132740-1 2.884080+4 1.056790-1 2.949000+4 7.653300-2750027506 2588 3.018510+4 5.606410-2 3.097330+4 2.793650-2 3.152180+4 7.591260-3750027506 2589 3.159550+4 4.128700-3 3.166310+4 1.533480-4 3.202980+4-2.131630-2750027506 2590 3.241800+4-4.940100-2 3.288400+4-7.629560-2 3.402370+4-1.337540-1750027506 2591 3.522300+4-1.934010-1 3.567260+4-2.203440-1 3.603340+4-2.441360-1750027506 2592 3.847530+4-3.808810-1 3.959060+4-4.542740-1 4.214050+4-6.156110-1750027506 2593 4.610030+4-8.778590-1 4.763960+4-9.777530-1 5.263490+4-1.321970+0750027506 2594 5.670630+4-1.660180+0 6.174290+4-2.212840+0 6.246270+4-2.314260+0750027506 2595 6.552930+4-2.828780+0 6.725550+4-3.260770+0 6.910560+4-3.993670+0750027506 2596 6.978980+4-4.433470+0 7.027400+4-4.888620+0 7.050160+4-5.176810+0750027506 2597 7.066480+4-5.420010+0 7.080690+4-5.656920+0 7.096090+4-5.934930+0750027506 2598 7.104300+4-6.089140+0 7.114150+4-6.273550+0 7.126730+4-6.498820+0750027506 2599 7.140520+4-6.720420+0 7.156020+4-6.914430+0 7.186150+4-7.039840+0750027506 2600 7.216290+4-6.833520+0 7.232210+4-6.575450+0 7.262810+4-6.006350+0750027506 2601 7.291540+4-5.432810+0 7.318920+4-4.932970+0 7.364000+4-4.338690+0750027506 2602 7.455820+4-3.599740+0 7.522479+4-3.207430+0 7.651910+4-2.635220+0750027506 2603 7.846040+4-2.020530+0 8.052229+4-1.559170+0 8.269610+4-1.185920+0750027506 2604 8.505129+4-8.951250-1 8.847070+4-5.744510-1 8.991940+4-4.577730-1750027506 2605 9.558370+4-1.394320-1 9.774879+4-4.303370-2 9.854410+4-7.355380-3750027506 2606 9.864910+4-2.694030-3 9.906470+4 8.959050-3 1.049190+5 1.782120-1750027506 2607 1.081360+5 2.683840-1 1.102520+5 3.094570-1 1.121240+5 3.226230-1750027506 2608 1.187660+5 4.172290-1 1.231680+5 4.521650-1 1.258000+5 4.607170-1750027506 2609 1.323600+5 5.065260-1 1.340000+5 5.114130-1 1.356890+5 5.088060-1750027506 2610 1.453630+5 5.342070-1 1.472750+5 5.287070-1 1.549750+5 5.325500-1750027506 2611 1.709330+5 5.176550-1 2.697620+5 3.180630-1 2.903370+5 2.848110-1750027506 2612 3.154710+5 2.506030-1 3.425450+5 2.195970-1 4.113140+5 1.534040-1750027506 2613 4.550780+5 1.247030-1 5.013840+5 1.003070-1 5.524000+5 7.834060-2750027506 2614 5.885020+5 6.452920-2 6.487980+5 4.819690-2 7.303960+5 2.991010-2750027506 2615 8.000000+5 1.985270-2 8.696620+5 1.100110-2 9.053810+5 7.743450-3750027506 2616 9.788540+5 1.523140-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0750027506 2617 750027 0 2618 7500 0 0 2619 0 0 0 2620 7.600000+4 1.885660+2 -1 0 0 17600 1451 1 0.000000+0 0.000000+0 0 0 0 67600 1451 2 0.000000+0 0.000000+0 0 0 3 67600 1451 3 0.000000+0 0.000000+0 0 0 133 347600 1451 4 76-OS- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7600 1451 6 ----ENDF/B-VI MATERIAL 7600 7600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7600 1451 8 ------ENDF-6 FORMAT 7600 1451 9 =================================================================7600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7600 1451 11 ENDF/B-VI FORMAT 7600 1451 12 =================================================================7600 1451 13 CONTENTS 7600 1451 14 =================================================================7600 1451 15 MF/MT DESCRIPTION 7600 1451 16 =================================================================7600 1451 17 23/501 TOTAL CROSS SECTION 7600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7600 1451 46 =================================================================7600 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7600 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7600 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7600 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7600 1451 51 =================================================================7600 1451 52 WARNING 7600 1451 53 =================================================================7600 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7600 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7600 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7600 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7600 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7600 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7600 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7600 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7600 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7600 1451 63 =================================================================7600 1451 64 DEFINITION OF NEW TYPES OF DATA 7600 1451 65 =================================================================7600 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7600 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7600 1451 68 7600 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7600 1451 70 C2 FIELDS ARE, 7600 1451 71 7600 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7600 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7600 1451 74 7600 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7600 1451 76 7600 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7600 1451 78 7600 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7600 1451 80 T = THE THOMSON CROSS SECTION 7600 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7600 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7600 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7600 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7600 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7600 1451 86 7600 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7600 1451 88 7600 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7600 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7600 1451 91 =================================================================7600 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7600 1451 93 =================================================================7600 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7600 1451 95 HERE - 10 EV TO 100 MEV 7600 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7600 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7600 1451 98 HERE - PHOTON INTERACTION 7600 1451 99 - AVERAGE FLUORESCENCE YIELD 7600 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7600 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7600 1451 102 HERE - NO SECONDARY ENERGY DATA 7600 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7600 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7600 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7600 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7600 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7600 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7600 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7600 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7600 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7600 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7600 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7600 1451 114 =================================================================7600 1451 115 REFERENCES 7600 1451 116 =================================================================7600 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7600 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7600 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7600 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7600 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7600 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7600 1451 123 7600 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7600 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7600 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7600 1451 127 OF THE DATA, ETC. 7600 1451 128 =================================================================7600 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7600 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7600 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7600 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7600 1451 133 *RECONSTRUCTED MT NUMBERS 7600 1451 134 516 =+(515,515)+(517,517) 7600 1451 135 522 =+(534,572) 7600 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7600 1451 137 1 451 171 17600 1451 138 23 501 507 17600 1451 139 23 502 80 17600 1451 140 23 504 24 17600 1451 141 23 515 17 17600 1451 142 23 516 37 17600 1451 143 23 517 23 17600 1451 144 23 522 397 17600 1451 145 23 534 26 17600 1451 146 23 535 33 17600 1451 147 23 536 36 17600 1451 148 23 537 38 17600 1451 149 23 538 37 17600 1451 150 23 539 39 17600 1451 151 23 540 42 17600 1451 152 23 541 51 17600 1451 153 23 542 53 17600 1451 154 23 543 41 17600 1451 155 23 544 42 17600 1451 156 23 545 45 17600 1451 157 23 546 54 17600 1451 158 23 547 54 17600 1451 159 23 548 69 17600 1451 160 23 549 68 17600 1451 161 23 550 46 17600 1451 162 23 551 52 17600 1451 163 23 552 54 17600 1451 164 23 553 66 17600 1451 165 23 554 66 17600 1451 166 23 559 55 17600 1451 167 27 502 48 17600 1451 168 27 504 45 17600 1451 169 27 505 61 17600 1451 170 27 506 107 17600 1451 171 7600 1 0 172 7600 0 0 173 7.600000+4 1.885660+2 0 0 0 0760023501 174 0.000000+0 0.000000+0 0 0 1 1511760023501 175 1511 2 0 0 0 0760023501 176 1.000000+1 9.362150+6 1.047790+1 9.290410+6 1.060740+1 9.270960+6760023501 177 1.064220+1 9.276510+6 1.074560+1 9.292990+6 1.079000+1 9.300070+6760023501 178 1.079000+1 1.238100+7 1.091680+1 1.247550+7 1.114400+1 1.264480+7760023501 179 1.166590+1 1.315020+7 1.177360+1 1.325450+7 1.218810+1 1.373020+7760023501 180 1.224740+1 1.379830+7 1.236560+1 1.395210+7 1.237970+1 1.397190+7760023501 181 1.246020+1 1.408480+7 1.295110+1 1.483050+7 1.301410+1 1.493130+7760023501 182 1.356580+1 1.581390+7 1.394860+1 1.645140+7 1.420440+1 1.687740+7760023501 183 1.482510+1 1.794260+7 1.510230+1 1.843140+7 1.517070+1 1.855200+7760023501 184 1.566160+1 1.947920+7 1.601310+1 2.015450+7 1.614770+1 2.041310+7760023501 185 1.640000+1 2.090400+7 1.703500+1 2.213980+7 1.732050+1 2.270250+7760023501 186 1.800100+1 2.388310+7 1.869090+1 2.509120+7 1.919130+1 2.597310+7760023501 187 1.955370+1 2.661180+7 1.980960+1 2.706540+7 2.000000+1 2.740290+7760023501 188 2.035150+1 2.778500+7 2.125750+1 2.877690+7 2.146350+1 2.900360+7760023501 189 2.239810+1 3.003200+7 2.299120+1 3.068680+7 2.425300+1 3.110470+7760023501 190 2.468960+1 3.124930+7 2.528320+1 3.144720+7 2.540920+1 3.140120+7760023501 191 2.695820+1 3.083550+7 2.754080+1 3.062340+7 2.833730+1 3.012810+7760023501 192 2.895140+1 2.952770+7 3.000000+1 2.850260+7 3.079520+1 2.757700+7760023501 193 3.223710+1 2.589870+7 3.371700+1 2.395810+7 3.380350+1 2.384470+7760023501 194 3.590940+1 2.108320+7 3.689110+1 1.979640+7 3.893560+1 1.744360+7760023501 195 4.000000+1 1.630820+7 4.096620+1 1.527770+7 4.107720+1 1.515940+7760023501 196 4.113140+1 1.510150+7 4.229490+1 1.401520+7 4.410200+1 1.249520+7760023501 197 4.437130+1 1.230370+7 4.598630+1 1.115520+7 4.737330+1 1.028920+7760023501 198 4.795120+1 9.928440+6 4.833050+1 9.725550+6 4.835490+1 9.712500+6760023501 199 4.980260+1 8.938090+6 5.000000+1 8.832500+6 5.131960+1 8.178870+6760023501 200 5.201610+1 7.833870+6 5.226890+1 7.708650+6 5.233180+1 7.677500+6760023501 201 5.242170+1 7.639030+6 5.254870+1 7.584690+6 5.262150+1 7.553550+6760023501 202 5.271450+1 7.513760+6 5.281660+1 7.470080+6 5.303860+1 7.375100+6760023501 203 5.315000+1 7.327440+6 5.315000+1 1.073420+7 5.320020+1 1.070890+7760023501 204 5.336230+1 1.062730+7 5.355640+1 1.052970+7 5.373860+1 1.043800+7760023501 205 5.399380+1 1.030960+7 5.415170+1 1.023010+7 5.421000+1 1.020380+7760023501 206 5.603490+1 9.380880+6 5.651800+1 9.191800+6 5.798350+1 8.555250+6760023501 207 5.798700+1 8.553840+6 6.116730+1 7.270310+6 6.132320+1 7.212430+6760023501 208 6.235740+1 6.828430+6 6.300770+1 6.602840+6 6.326000+1 6.515320+6760023501 209 6.326000+1 6.837710+6 6.418600+1 6.535170+6 6.449720+1 6.442550+6760023501 210 6.526320+1 6.229140+6 6.559590+1 6.136450+6 6.601000+1 6.021100+6760023501 211 6.601000+1 7.443760+6 6.606830+1 7.430870+6 6.607000+1 7.430540+6760023501 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9.641430+1 2.853070+6760023501 225 9.746610+1 2.802040+6 9.753240+1 2.799090+6 9.793000+1 2.781420+6760023501 226 9.812000+1 2.773510+6 9.812000+1 2.844740+6 9.912030+1 2.801360+6760023501 227 1.000000+2 2.763210+6 1.000900+2 2.759310+6 1.000990+2 2.759060+6760023501 228 1.028640+2 2.689910+6 1.032910+2 2.679590+6 1.039590+2 2.665650+6760023501 229 1.042960+2 2.659810+6 1.043080+2 2.659640+6 1.052820+2 2.650140+6760023501 230 1.082000+2 2.621780+6 1.082220+2 2.621580+6 1.093520+2 2.614280+6760023501 231 1.099420+2 2.612130+6 1.107330+2 2.611160+6 1.107430+2 2.611200+6760023501 232 1.110940+2 2.614190+6 1.126470+2 2.632870+6 1.132170+2 2.639940+6760023501 233 1.147600+2 2.661990+6 1.188690+2 2.728870+6 1.189640+2 2.730940+6760023501 234 1.191850+2 2.736260+6 1.194700+2 2.743650+6 1.205350+2 2.774670+6760023501 235 1.217580+2 2.812030+6 1.229830+2 2.855820+6 1.231690+2 2.862470+6760023501 236 1.246480+2 2.915600+6 1.256680+2 2.953820+6 1.273090+2 3.017310+6760023501 237 1.294240+2 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1.300580-5 3.000000+6 1.193770-5 3.464100+6 9.668930-6760023547 1861 4.000000+6 7.831340-6 4.472140+6 6.709600-6 5.000000+6 5.748540-6760023547 1862 5.732660+6 4.792020-6 6.480740+6 4.083410-6 7.483310+6 3.399160-6760023547 1863 8.485280+6 2.906420-6 1.000000+7 2.379020-6 1.148910+7 2.017190-6760023547 1864 1.349070+7 1.671830-6 1.600000+7 1.374840-6 1.897370+7 1.135060-6760023547 1865 2.200000+7 9.632740-7 2.600000+7 8.023890-7 3.000000+7 6.874180-7760023547 1866 3.464100+7 5.896560-7 4.000000+7 5.057970-7 4.728710+7 4.240880-7760023547 1867 5.477230+7 3.636330-7 6.447420+7 3.069330-7 7.444840+7 2.644680-7760023547 1868 8.944271+7 2.189750-7 1.000000+8 1.953210-7 0.000000+0 0.000000+0760023547 1869 760023 0 1870 7.600000+4 1.885660+2 0 0 0 0760023548 1871 6.621000+1 0.000000+0 0 0 1 196760023548 1872 196 2 0 0 0 0760023548 1873 6.621000+1 0.000000+0 6.621000+1 2.096790+5 6.753000+1 2.359090+5760023548 1874 7.000000+1 2.718560+5 7.237620+1 2.914940+5 7.609270+1 3.020000+5760023548 1875 8.738850+1 3.022180+5 9.000000+1 3.093640+5 9.588430+1 3.439590+5760023548 1876 1.000900+2 3.860600+5 1.107430+2 5.355170+5 1.217580+2 7.478060+5760023548 1877 1.338680+2 1.044250+6 1.554920+2 1.603460+6 1.611860+2 1.743690+6760023548 1878 1.795470+2 2.088770+6 2.000000+2 2.336880+6 2.178850+2 2.461150+6760023548 1879 2.477550+2 2.522150+6 2.879300+2 2.416100+6 4.000000+2 1.753560+6760023548 1880 4.554200+2 1.434230+6 5.354080+2 1.075040+6 5.897390+2 8.814270+5760023548 1881 6.425090+2 7.309270+5 7.223390+2 5.601560+5 7.813560+2 4.599140+5760023548 1882 8.585740+2 3.630100+5 9.486830+2 2.794550+5 1.051990+3 2.083470+5760023548 1883 1.099690+3 1.826640+5 1.188440+3 1.451000+5 1.287460+3 1.144340+5760023548 1884 1.359670+3 9.733129+4 1.451680+3 8.014740+4 1.578500+3 6.186000+4760023548 1885 1.704030+3 4.852470+4 1.839530+3 3.806420+4 1.982240+3 2.936090+4760023548 1886 2.110150+3 2.362680+4 2.262350+3 1.854890+4 2.430800+3 1.445260+4760023548 1887 2.552790+3 1.219150+4 2.707280+3 9.940031+3 2.916680+3 7.595190+3760023548 1888 3.087000+3 6.156410+3 3.237170+3 5.164020+3 3.413020+3 4.245940+3760023548 1889 3.612050+3 3.442600+3 3.801080+3 2.850420+3 4.000000+3 2.360100+3760023548 1890 4.229490+3 1.901550+3 4.410200+3 1.617110+3 4.695850+3 1.268210+3760023548 1891 5.000000+3 9.945800+2 5.323390+3 7.749250+2 5.555800+3 6.536790+2760023548 1892 5.848120+3 5.329540+2 6.219690+3 4.152590+2 6.597670+3 3.260350+2760023548 1893 6.923340+3 2.675900+2 7.290130+3 2.165440+2 7.636820+3 1.789850+2760023548 1894 8.158500+3 1.361030+2 8.610750+3 1.082110+2 9.109691+3 8.517010+1760023548 1895 9.538520+3 7.004340+1 1.002040+4 5.680440+1 1.063090+4 4.417730+1760023548 1896 1.116750+4 3.573370+1 1.178820+4 2.817540+1 1.247310+4 2.198460+1760023548 1897 1.306180+4 1.795240+1 1.372340+4 1.444900+1 1.434750+4 1.188460+1760023548 1898 1.527210+4 9.013480+0 1.604630+4 7.210910+0 1.695460+4 5.624390+0760023548 1899 1.794520+4 4.353000+0 1.865360+4 3.655200+0 1.954080+4 2.963870+0760023548 1900 2.051330+4 2.374960+0 2.151150+4 1.908270+0 2.242480+4 1.575790+0760023548 1901 2.365370+4 1.232540+0 2.436700+4 1.074960+0 2.566740+4 8.461040-1760023548 1902 2.708120+4 6.610080-1 2.808950+4 5.586040-1 2.934910+4 4.564360-1760023548 1903 3.065690+4 3.725940-1 3.197090+4 3.058000-1 3.325390+4 2.540980-1760023548 1904 3.512470+4 1.963840-1 3.689430+4 1.558190-1 3.859630+4 1.260150-1760023548 1905 4.071440+4 9.799400-2 4.273640+4 7.800230-2 4.458790+4 6.388550-2760023548 1906 4.708200+4 4.944590-2 4.853080+4 4.287180-2 5.117420+4 3.339990-2760023548 1907 5.405100+4 2.581840-2 5.610470+4 2.166170-2 5.867240+4 1.754720-2760023548 1908 6.194650+4 1.359570-2 6.473050+4 1.106150-2 6.739490+4 9.153990-3760023548 1909 7.080250+4 7.262590-3 7.392520+4 5.931120-3 7.813529+4 4.573640-3760023548 1910 8.058260+4 3.957420-3 8.505129+4 3.072010-3 8.991940+4 2.365900-3760023548 1911 9.339729+4 1.979980-3 9.774879+4 1.599040-3 1.025670+5 1.279590-3760023548 1912 1.075580+5 1.029440-3 1.121240+5 8.510130-4 1.182690+5 6.665790-4760023548 1913 1.250440+5 5.165300-4 1.308640+5 4.194160-4 1.374000+5 3.355320-4760023548 1914 1.435620+5 2.744820-4 1.500000+5 2.245400-4 1.579580+5 1.783100-4760023548 1915 1.649420+5 1.470210-4 1.730830+5 1.185940-4 1.822530+5 9.420640-5760023548 1916 1.909200+5 7.657660-5 2.000000+5 6.224600-5 2.112330+5 4.936390-5760023548 1917 2.211170+5 4.065610-5 2.326710+5 3.275400-5 2.457200+5 2.598360-5760023548 1918 2.580890+5 2.109550-5 2.710810+5 1.712700-5 2.851740+5 1.390800-5760023548 1919 3.000000+5 1.129400-5 3.109840+5 9.789900-6 3.311840+5 7.623530-6760023548 1920 3.533890+5 5.890330-6 3.693770+5 4.940430-6 3.895200+5 4.000510-6760023548 1921 4.000000+5 3.599900-6 4.229490+5 2.920500-6 4.410200+5 2.496500-6760023548 1922 4.695850+5 1.973080-6 5.000000+5 1.559400-6 5.233180+5 1.322300-6760023548 1923 5.603490+5 1.032510-6 6.000000+5 8.062200-7 6.447420+5 6.398530-7760023548 1924 6.943790+5 5.041620-7 7.303960+5 4.285440-7 7.760910+5 3.526180-7760023548 1925 8.226280+5 2.933790-7 8.820400+5 2.363760-7 9.391700+5 1.946080-7760023548 1926 1.000000+6 1.602200-7 1.074770+6 1.389820-7 1.188630+6 1.141340-7760023548 1927 1.308290+6 9.503610-8 1.433160+6 8.023830-8 1.554920+6 6.923880-8760023548 1928 1.701190+6 5.917680-8 1.894980+6 4.901340-8 2.044000+6 4.301060-8760023548 1929 2.332190+6 3.488180-8 2.551640+6 3.023920-8 2.842410+6 2.547620-8760023548 1930 3.000000+6 2.338390-8 3.464100+6 1.893970-8 4.000000+6 1.534020-8760023548 1931 4.472140+6 1.314290-8 5.000000+6 1.126040-8 5.732660+6 9.386740-9760023548 1932 6.480740+6 7.998690-9 7.483310+6 6.658350-9 8.485280+6 5.693160-9760023548 1933 1.000000+7 4.660090-9 1.148910+7 3.951330-9 1.349070+7 3.274830-9760023548 1934 1.600000+7 2.693060-9 1.897370+7 2.223390-9 2.200000+7 1.886880-9760023548 1935 2.600000+7 1.571740-9 3.000000+7 1.346530-9 3.464100+7 1.155030-9760023548 1936 4.000000+7 9.90768-10 4.728710+7 8.30714-10 5.477230+7 7.12293-10760023548 1937 6.447420+7 6.01227-10 7.444840+7 5.18047-10 8.944271+7 4.28933-10760023548 1938 1.000000+8 3.82599-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0760023548 1939 760023 0 1940 7.600000+4 1.885660+2 0 0 0 0760023549 1941 6.326000+1 0.000000+0 0 0 1 193760023549 1942 193 2 0 0 0 0760023549 1943 6.326000+1 0.000000+0 6.326000+1 3.223970+5 6.607000+1 3.791280+5760023549 1944 6.859970+1 4.068210+5 7.222540+1 4.206070+5 8.411430+1 4.227340+5760023549 1945 9.000000+1 4.539620+5 9.492450+1 5.103260+5 1.043080+2 6.876390+5760023549 1946 1.107330+2 8.350220+5 1.188690+2 1.058310+6 1.294240+2 1.406410+6760023549 1947 1.500000+2 2.163470+6 1.625370+2 2.554170+6 1.789590+2 2.940110+6760023549 1948 2.000000+2 3.247610+6 2.271810+2 3.419320+6 2.552060+2 3.405520+6760023549 1949 3.000000+2 3.149270+6 3.973990+2 2.312310+6 4.773610+2 1.728210+6760023549 1950 5.477230+2 1.332090+6 6.340690+2 9.766170+5 6.888350+2 8.062880+5760023549 1951 7.733960+2 6.105790+5 8.397950+2 4.919880+5 9.044130+2 4.050860+5760023549 1952 1.002690+3 3.065740+5 1.078170+3 2.483280+5 1.150940+3 2.054310+5760023549 1953 1.256340+3 1.585980+5 1.335810+3 1.311510+5 1.430240+3 1.061370+5760023549 1954 1.538830+3 8.460500+4 1.643590+3 6.898800+4 1.793310+3 5.227050+4760023549 1955 1.901580+3 4.271190+4 2.029860+3 3.410940+4 2.171220+3 2.704870+4760023549 1956 2.336680+3 2.100210+4 2.535400+3 1.578950+4 2.709320+3 1.243550+4760023549 1957 2.876030+3 1.003060+4 3.053000+3 8.090800+3 3.261580+3 6.302870+3760023549 1958 3.447070+3 5.114080+3 3.666090+3 4.052120+3 3.906520+3 3.187410+3760023549 1959 4.079440+3 2.706210+3 4.297070+3 2.223680+3 4.531380+3 1.808470+3760023549 1960 4.767640+3 1.475620+3 5.088970+3 1.136600+3 5.361710+3 9.222880+2760023549 1961 5.601180+3 7.743190+2 5.880480+3 6.372980+2 6.195200+3 5.172780+2760023549 1962 6.595180+3 4.027000+2 6.997770+3 3.157590+2 7.374560+3 2.530770+2760023549 1963 7.720850+3 2.085270+2 8.189190+3 1.626470+2 8.462180+3 1.416300+2760023549 1964 8.961981+3 1.111730+2 9.508350+3 8.660780+1 9.899840+3 7.304970+1760023549 1965 1.039100+4 5.955150+1 1.106170+4 4.537730+1 1.171650+4 3.518050+1760023549 1966 1.241000+4 2.727500+1 1.301220+4 2.208480+1 1.348300+4 1.885120+1760023549 1967 1.422130+4 1.486640+1 1.500000+4 1.172400+1 1.573640+4 9.415460+0760023549 1968 1.644380+4 7.699440+0 1.735230+4 6.020130+0 1.818830+4 4.854100+0760023549 1969 1.929720+4 3.702600+0 2.027710+4 2.951750+0 2.142710+4 2.293330+0760023549 1970 2.268130+4 1.767790+0 2.357830+4 1.480330+0 2.470160+4 1.196390+0760023549 1971 2.582770+4 9.719710-1 2.691640+4 7.988170-1 2.797860+4 6.646090-1760023549 1972 2.952640+4 5.145670-1 3.098920+4 4.089310-1 3.239500+4 3.311970-1760023549 1973 3.414310+4 2.580000-1 3.581060+4 2.056890-1 3.733630+4 1.686960-1760023549 1974 3.938990+4 1.307980-1 4.058200+4 1.135190-1 4.275550+4 8.859120-2760023549 1975 4.511900+4 6.860360-2 4.680500+4 5.762820-2 4.891150+4 4.675000-2760023549 1976 5.109490+4 3.797890-2 5.328480+4 3.109720-2 5.542310+4 2.578250-2760023549 1977 5.854120+4 1.986520-2 6.149050+4 1.571840-2 6.432710+4 1.267970-2760023549 1978 6.785730+4 9.830680-3 7.122740+4 7.803860-3 7.431320+4 6.376310-3760023549 1979 7.847000+4 4.920050-3 8.088460+4 4.258650-3 8.529029+4 3.307890-3760023549 1980 9.008510+4 2.549180-3 9.350790+4 2.134290-3 9.778740+4 1.724550-3760023549 1981 1.025670+5 1.378360-3 1.075580+5 1.105830-3 1.121240+5 9.119590-4760023549 1982 1.182690+5 7.121020-4 1.218350+5 6.204720-4 1.283370+5 4.875690-4760023549 1983 1.354060+5 3.802580-4 1.404470+5 3.209750-4 1.467460+5 2.619040-4760023549 1984 1.532060+5 2.152000-4 1.623800+5 1.658520-4 1.677240+5 1.434610-4760023549 1985 1.775040+5 1.113030-4 1.881860+5 8.567060-5 1.958360+5 7.166830-5760023549 1986 2.054280+5 5.785240-5 2.136110+5 4.874950-5 2.227040+5 4.086830-5760023549 1987 2.332860+5 3.358160-5 2.451820+5 2.720970-5 2.602610+5 2.113830-5760023549 1988 2.728540+5 1.738130-5 2.862360+5 1.435960-5 3.019130+5 1.160860-5760023549 1989 3.196630+5 9.243080-6 3.365290+5 7.529240-6 3.542840+5 6.133170-6760023549 1990 3.771680+5 4.846260-6 4.023170+5 3.801300-6 4.204180+5 3.221200-6760023549 1991 4.432180+5 2.640710-6 4.670700+5 2.185200-6 4.984530+5 1.744960-6760023549 1992 5.284950+5 1.425130-6 5.603490+5 1.163910-6 5.987330+5 9.439060-7760023549 1993 6.292380+5 8.066510-7 6.779330+5 6.372660-7 7.303960+5 5.034500-7760023549 1994 7.860280+5 4.078210-7 8.458970+5 3.303570-7 9.197270+5 2.651660-7760023549 1995 1.000000+6 2.128400-7 1.074770+6 1.846260-7 1.188630+6 1.516180-7760023549 1996 1.308290+6 1.262480-7 1.433160+6 1.065900-7 1.554920+6 9.197840-8760023549 1997 1.701190+6 7.861190-8 1.894980+6 6.511060-8 2.044000+6 5.713630-8760023549 1998 2.332190+6 4.633780-8 2.551640+6 4.017040-8 2.842410+6 3.384320-8760023549 1999 3.000000+6 3.106370-8 3.464100+6 2.516000-8 4.000000+6 2.037830-8760023549 2000 4.472140+6 1.745930-8 5.000000+6 1.495850-8 5.732660+6 1.246960-8760023549 2001 6.480740+6 1.062570-8 7.483310+6 8.845100-9 8.485280+6 7.562940-9760023549 2002 1.000000+7 6.190570-9 1.148910+7 5.249040-9 1.349070+7 4.350360-9760023549 2003 1.600000+7 3.577520-9 1.897370+7 2.953600-9 2.200000+7 2.506580-9760023549 2004 2.600000+7 2.087930-9 3.000000+7 1.788760-9 3.464100+7 1.534370-9760023549 2005 4.000000+7 1.316160-9 4.728710+7 1.103540-9 5.477230+7 9.46225-10760023549 2006 6.447420+7 7.98683-10 7.444840+7 6.88186-10 8.944271+7 5.69804-10760023549 2007 1.000000+8 5.08253-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0760023549 2008 760023 0 2009 7.600000+4 1.885660+2 0 0 0 0760023550 2010 9.812000+1 0.000000+0 0 0 1 128760023550 2011 128 2 0 0 0 0760023550 2012 9.812000+1 0.000000+0 9.812000+1 7.123080+4 1.028640+2 6.300270+4760023550 2013 1.082000+2 5.821330+4 1.126470+2 5.714780+4 1.231690+2 5.872840+4760023550 2014 1.391460+2 6.384180+4 1.500000+2 6.784750+4 1.637170+2 6.978990+4760023550 2015 3.248020+2 4.465580+4 3.731750+2 3.864060+4 4.426730+2 3.167310+4760023550 2016 5.153680+2 2.619900+4 6.000000+2 2.167100+4 6.817320+2 1.809840+4760023550 2017 7.502570+2 1.581110+4 8.661740+2 1.291050+4 1.000000+3 1.054200+4760023550 2018 1.149560+3 8.523260+3 1.264160+3 7.373300+3 1.416860+3 6.196260+3760023550 2019 1.596410+3 5.134360+3 1.780280+3 4.302300+3 2.000850+3 3.559840+3760023550 2020 2.222630+3 3.001840+3 2.469000+3 2.531300+3 2.785520+3 2.054230+3760023550 2021 3.154480+3 1.656220+3 3.433690+3 1.430040+3 3.801550+3 1.199020+3760023550 2022 4.207960+3 1.000830+3 4.776390+3 7.940600+2 5.353350+3 6.447590+2760023550 2023 6.000000+3 5.235300+2 6.684930+3 4.250200+2 7.317931+3 3.569750+2760023550 2024 8.093661+3 2.939380+2 9.016270+3 2.386960+2 9.936201+3 1.979140+2760023550 2025 1.095000+4 1.641000+2 1.220180+4 1.314540+2 1.335880+4 1.091800+2760023550 2026 1.477690+4 8.878800+1 1.639710+4 7.173940+1 1.836790+4 5.685170+1760023550 2027 2.000000+4 4.775100+1 2.213360+4 3.834750+1 2.457260+4 3.058550+1760023550 2028 2.638790+4 2.621480+1 2.874410+4 2.178630+1 3.197810+4 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1451 4 77-IR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7700 1451 6 ----ENDF/B-VI MATERIAL 7700 7700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7700 1451 8 ------ENDF-6 FORMAT 7700 1451 9 =================================================================7700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7700 1451 11 ENDF/B-VI FORMAT 7700 1451 12 =================================================================7700 1451 13 CONTENTS 7700 1451 14 =================================================================7700 1451 15 MF/MT DESCRIPTION 7700 1451 16 =================================================================7700 1451 17 23/501 TOTAL CROSS SECTION 7700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7700 1451 45 =================================================================7700 1451 46 27/502 COHERENT SCATTERING FORM FACTORS 7700 1451 47 27/504 INCOHERENT SCATTERING FUNCTIONS 7700 1451 48 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7700 1451 49 27/506 COHERENT REAL SCATTERING FACTOR 7700 1451 50 =================================================================7700 1451 51 WARNING 7700 1451 52 =================================================================7700 1451 53 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7700 1451 54 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7700 1451 55 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7700 1451 56 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7700 1451 57 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7700 1451 58 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7700 1451 59 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7700 1451 60 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7700 1451 61 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7700 1451 62 =================================================================7700 1451 63 DEFINITION OF NEW TYPES OF DATA 7700 1451 64 =================================================================7700 1451 65 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7700 1451 66 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7700 1451 67 7700 1451 68 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7700 1451 69 C2 FIELDS ARE, 7700 1451 70 7700 1451 71 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7700 1451 72 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7700 1451 73 7700 1451 74 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7700 1451 75 7700 1451 76 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7700 1451 77 7700 1451 78 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7700 1451 79 T = THE THOMSON CROSS SECTION 7700 1451 80 MU = THE COSINE OF THE SCATTERING ANGLE 7700 1451 81 FF(M) = THE ATOMIC FORM FACTOR 7700 1451 82 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7700 1451 83 F1(E) = THE REAL SCATTERING FACTOR 7700 1451 84 F2(E) = THE IMAGINARY SCATTERING FACTOR 7700 1451 85 7700 1451 86 F1(E) AND F2(E) ARE ISOTROPIC. 7700 1451 87 7700 1451 88 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7700 1451 89 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7700 1451 90 =================================================================7700 1451 91 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7700 1451 92 =================================================================7700 1451 93 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7700 1451 94 HERE - 10 EV TO 100 MEV 7700 1451 95 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7700 1451 96 - FLUORESCENCE AND ELECTRON SPECTRA 7700 1451 97 HERE - PHOTON INTERACTION 7700 1451 98 - AVERAGE FLUORESCENCE YIELD 7700 1451 99 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7700 1451 100 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7700 1451 101 HERE - NO SECONDARY ENERGY DATA 7700 1451 102 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7700 1451 103 INTERPOLABLE - SUMMATION CROSS SECTIONS 7700 1451 104 (E.G., TOTAL) ARE NOT INCLUDED 7700 1451 105 - FORM FACTORS ARE LOG X VS. LOG Y 7700 1451 106 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7700 1451 107 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7700 1451 108 ORDER TO ALLOW CROSS SECTIONS DEFINED 7700 1451 109 BY SUMMATION (E.G., TOTAL) TO BE 7700 1451 110 CONSISTENTLY DEFINED AT ALL ENERGIES. 7700 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 7700 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7700 1451 113 =================================================================7700 1451 114 REFERENCES 7700 1451 115 =================================================================7700 1451 116 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7700 1451 117 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7700 1451 118 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7700 1451 119 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7700 1451 120 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7700 1451 121 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7700 1451 122 7700 1451 123 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7700 1451 124 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7700 1451 125 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7700 1451 126 OF THE DATA, ETC. 7700 1451 127 =================================================================7700 1451 128 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7700 1451 129 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7700 1451 130 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7700 1451 131 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7700 1451 132 *RECONSTRUCTED MT NUMBERS 7700 1451 133 516 =+(515,515)+(517,517) 7700 1451 134 522 =+(534,572) 7700 1451 135 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7700 1451 136 1 451 169 17700 1451 137 23 501 484 17700 1451 138 23 502 77 17700 1451 139 23 504 25 17700 1451 140 23 515 17 17700 1451 141 23 516 36 17700 1451 142 23 517 23 17700 1451 143 23 522 378 17700 1451 144 23 534 27 17700 1451 145 23 535 33 17700 1451 146 23 536 36 17700 1451 147 23 537 37 17700 1451 148 23 538 37 17700 1451 149 23 539 39 17700 1451 150 23 540 42 17700 1451 151 23 541 51 17700 1451 152 23 542 53 17700 1451 153 23 543 40 17700 1451 154 23 544 42 17700 1451 155 23 545 45 17700 1451 156 23 546 53 17700 1451 157 23 547 53 17700 1451 158 23 548 67 17700 1451 159 23 549 67 17700 1451 160 23 550 46 17700 1451 161 23 551 53 17700 1451 162 23 552 54 17700 1451 163 23 553 64 17700 1451 164 23 554 64 17700 1451 165 27 502 47 17700 1451 166 27 504 44 17700 1451 167 27 505 59 17700 1451 168 27 506 100 17700 1451 169 7700 1 0 170 7700 0 0 171 7.700000+4 1.905690+2 0 0 0 0770023501 172 0.000000+0 0.000000+0 0 0 1 1443770023501 173 1443 2 0 0 0 0770023501 174 1.000000+1 2.323570+7 1.106680+1 2.497360+7 1.154780+1 2.575720+7770023501 175 1.194100+1 2.639780+7 1.338340+1 2.874750+7 1.407860+1 2.988010+7770023501 176 1.500000+1 3.138110+7 1.688590+1 3.338560+7 1.706730+1 3.357840+7770023501 177 1.906470+1 3.570130+7 1.988080+1 3.656870+7 2.000000+1 3.669540+7770023501 178 2.221620+1 3.779720+7 2.309400+1 3.823360+7 2.388200+1 3.862530+7770023501 179 2.449490+1 3.870450+7 2.676670+1 3.838490+7 2.710810+1 3.822570+7770023501 180 2.773720+1 3.778630+7 3.000000+1 3.620590+7 3.223710+1 3.362290+7770023501 181 3.255960+1 3.320430+7 3.746230+1 2.684040+7 4.079840+1 2.250990+7770023501 182 4.229490+1 2.056740+7 4.349120+1 1.922670+7 4.485060+1 1.782870+7770023501 183 4.581940+1 1.683240+7 4.659500+1 1.603480+7 4.827230+1 1.454010+7770023501 184 4.854710+1 1.429520+7 4.930760+1 1.370250+7 5.054330+1 1.273940+7770023501 185 5.058090+1 1.271010+7 5.072220+1 1.261550+7 5.090870+1 1.249060+7770023501 186 5.107780+1 1.237740+7 5.123840+1 1.226990+7 5.133720+1 1.220380+7770023501 187 5.155880+1 1.205540+7 5.166000+1 1.198770+7 5.166000+1 1.700800+7770023501 188 5.172520+1 1.694780+7 5.189210+1 1.679350+7 5.200940+1 1.668500+7770023501 189 5.223480+1 1.647670+7 5.244640+1 1.628110+7 5.264820+1 1.609450+7770023501 190 5.270000+1 1.604660+7 5.375380+1 1.512460+7 5.412340+1 1.480120+7770023501 191 5.443720+1 1.452670+7 5.567410+1 1.353740+7 5.623170+1 1.312850+7770023501 192 5.677470+1 1.276500+7 5.808530+1 1.188770+7 6.000000+1 1.073080+7770023501 193 6.146370+1 9.888900+6 6.296320+1 9.089510+6 6.310140+1 9.023510+6770023501 194 6.427880+1 8.461240+6 6.453460+1 8.339080+6 6.487380+1 8.191290+6770023501 195 6.502690+1 8.124590+6 6.528120+1 8.013790+6 6.534030+1 7.990240+6770023501 196 6.568000+1 7.854900+6 6.568000+1 9.837370+6 6.607200+1 9.672740+6770023501 197 6.638710+1 9.540400+6 6.681960+1 9.358760+6 6.707560+1 9.251240+6770023501 198 6.792000+1 8.929890+6 6.806000+1 8.872810+6 6.806000+1 9.304030+6770023501 199 6.859230+1 9.090070+6 6.924650+1 8.846590+6 7.017640+1 8.500500+6770023501 200 7.081360+1 8.281510+6 7.119000+1 8.162520+6 7.133000+1 8.115590+6770023501 201 7.133000+1 8.391100+6 7.341200+1 7.701510+6 7.403820+1 7.508870+6770023501 202 7.437960+1 7.403850+6 7.629420+1 6.814870+6 7.770020+1 6.451430+6770023501 203 7.798080+1 6.382300+6 7.873730+1 6.192370+6 8.091460+1 5.678640+6770023501 204 8.239070+1 5.330360+6 8.258800+1 5.290670+6 8.485280+1 4.858590+6770023501 205 8.738850+1 4.405060+6 8.745820+1 4.394230+6 8.852160+1 4.236380+6770023501 206 9.000000+1 4.022310+6 9.060480+1 3.939610+6 9.234900+1 3.701120+6770023501 207 9.265980+1 3.661440+6 9.285720+1 3.639900+6 9.518940+1 3.385320+6770023501 208 9.539810+1 3.363150+6 9.601920+1 3.300350+6 9.690540+1 3.214850+6770023501 209 9.801830+1 3.107480+6 9.821740+1 3.088270+6 9.912970+1 3.012550+6770023501 210 9.914000+1 3.011760+6 9.914000+1 3.079870+6 1.011200+2 2.927410+6770023501 211 1.023740+2 2.838490+6 1.033240+2 2.775740+6 1.036430+2 2.756180+6770023501 212 1.049140+2 2.683640+6 1.052100+2 2.668000+6 1.057660+2 2.638850+6770023501 213 1.075880+2 2.548740+6 1.082110+2 2.520870+6 1.085450+2 2.506870+6770023501 214 1.094940+2 2.470510+6 1.100140+2 2.453550+6 1.104000+2 2.442200+6770023501 215 1.104440+2 2.440910+6 1.110220+2 2.425450+6 1.114580+2 2.413790+6770023501 216 1.118560+2 2.405260+6 1.130240+2 2.380570+6 1.133180+2 2.375220+6770023501 217 1.157990+2 2.338230+6 1.159860+2 2.336190+6 1.166400+2 2.330860+6770023501 218 1.190430+2 2.317270+6 1.195460+2 2.315730+6 1.207120+2 2.320110+6770023501 219 1.210020+2 2.321270+6 1.226890+2 2.333670+6 1.227450+2 2.334220+6770023501 220 1.256700+2 2.370030+6 1.258790+2 2.372960+6 1.292570+2 2.420420+6770023501 221 1.293810+2 2.422370+6 1.312690+2 2.454270+6 1.313550+2 2.455730+6770023501 222 1.313640+2 2.455890+6 1.313770+2 2.456160+6 1.314880+2 2.458580+6770023501 223 1.339350+2 2.526280+6 1.342540+2 2.535470+6 1.359180+2 2.586100+6770023501 224 1.367050+2 2.611240+6 1.377320+2 2.644040+6 1.397720+2 2.711200+6770023501 225 1.403730+2 2.731450+6 1.426680+2 2.815330+6 1.427860+2 2.820020+6770023501 226 1.437350+2 2.858670+6 1.450330+2 2.912470+6 1.463480+2 2.967010+6770023501 227 1.500000+2 3.121350+6 1.576030+2 3.470870+6 1.580270+2 3.490720+6770023501 228 1.601510+2 3.590160+6 1.611850+2 3.638420+6 1.625370+2 3.702350+6770023501 229 1.655920+2 3.834430+6 1.717510+2 4.107150+6 1.732050+2 4.168020+6770023501 230 1.741810+2 4.210190+6 1.771420+2 4.338560+6 1.785450+2 4.400390+6770023501 231 1.836360+2 4.592600+6 1.861210+2 4.686120+6 1.867410+2 4.709610+6770023501 232 1.895680+2 4.816720+6 1.920700+2 4.909760+6 2.000000+2 5.208380+6770023501 233 2.042530+2 5.309820+6 2.098670+2 5.443730+6 2.143360+2 5.550920+6770023501 234 2.202210+2 5.692730+6 2.206730+2 5.703710+6 2.226970+2 5.752910+6770023501 235 2.271210+2 5.826580+6 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8.79431-10 6.447420+7 7.42465-10770023548 1886 7.444840+7 6.39866-10 8.944271+7 5.29546-10 1.000000+8 4.72076-10770023548 1887 770023 0 1888 7.700000+4 1.905690+2 0 0 0 0770023549 1889 6.806000+1 0.000000+0 0 0 1 192770023549 1890 192 2 0 0 0 0770023549 1891 6.806000+1 0.000000+0 6.806000+1 4.312190+5 7.119000+1 4.493660+5770023549 1892 8.852160+1 4.062220+5 9.601920+1 4.148240+5 1.023740+2 4.515510+5770023549 1893 1.094940+2 5.272980+5 1.195460+2 6.916040+5 1.314880+2 9.682260+5770023549 1894 1.426680+2 1.291880+6 1.625370+2 1.930890+6 1.785450+2 2.380940+6770023549 1895 2.000000+2 2.848700+6 2.226970+2 3.162770+6 2.469360+2 3.312650+6770023549 1896 2.744830+2 3.303420+6 3.167300+2 3.074100+6 4.565470+2 1.981980+6770023549 1897 5.037680+2 1.676710+6 5.800950+2 1.277550+6 6.734720+2 9.243130+5770023549 1898 7.340140+2 7.544360+5 8.226280+2 5.721090+5 8.820400+2 4.760040+5770023549 1899 9.590240+2 3.817410+5 1.052820+3 2.948970+5 1.137330+3 2.362670+5770023549 1900 1.228630+3 1.892930+5 1.323810+3 1.504910+5 1.429690+3 1.187880+5770023549 1901 1.506700+3 1.010930+5 1.604610+3 8.330379+4 1.709660+3 6.799760+4770023549 1902 1.807940+3 5.646050+4 1.919520+3 4.626240+4 2.062540+3 3.642570+4770023549 1903 2.223040+3 2.818310+4 2.380090+3 2.217420+4 2.553680+3 1.731620+4770023549 1904 2.679240+3 1.462940+4 2.838080+3 1.194970+4 3.038070+3 9.333191+3770023549 1905 3.240390+3 7.345560+3 3.415560+3 6.040700+3 3.613780+3 4.898720+3770023549 1906 3.801990+3 4.056750+3 4.079350+3 3.111600+3 4.305790+3 2.520200+3770023549 1907 4.572770+3 1.992890+3 4.865450+3 1.564390+3 5.075680+3 1.326350+3770023549 1908 5.339970+3 1.088020+3 5.608470+3 8.945520+2 5.985800+3 6.855690+2770023549 1909 6.306050+3 5.540620+2 6.587210+3 4.636020+2 6.915100+3 3.801340+2770023549 1910 7.284550+3 3.073050+2 7.633900+3 2.537690+2 8.000000+3 2.095600+2770023549 1911 8.436880+3 1.669130+2 8.838670+3 1.367800+2 9.371340+3 1.064790+2770023549 1912 9.841750+3 8.634470+1 1.039350+4 6.836990+1 1.099480+4 5.374360+1770023549 1913 1.142470+4 4.560900+1 1.196270+4 3.745580+1 1.255620+4 3.031220+1770023549 1914 1.312700+4 2.486740+1 1.376740+4 2.011420+1 1.457740+4 1.559360+1770023549 1915 1.549750+4 1.183030+1 1.620970+4 9.636970+0 1.689200+4 7.984130+0770023549 1916 1.776540+4 6.343190+0 1.856660+4 5.186530+0 1.964790+4 4.005670+0770023549 1917 2.027710+4 3.468960+0 2.142710+4 2.696910+0 2.268130+4 2.080250+0770023549 1918 2.357830+4 1.742770+0 2.470160+4 1.409260+0 2.582770+4 1.145580+0770023549 1919 2.691640+4 9.420670-1 2.797860+4 7.842380-1 2.952640+4 6.076690-1770023549 1920 3.098920+4 4.832640-1 3.239500+4 3.916550-1 3.414310+4 3.053320-1770023549 1921 3.581060+4 2.435950-1 3.733630+4 1.999070-1 3.938990+4 1.551190-1770023549 1922 4.058200+4 1.346870-1 4.275550+4 1.051910-1 4.511900+4 8.152270-2770023549 1923 4.680500+4 6.851740-2 4.891150+4 5.561960-2 5.109490+4 4.520900-2770023549 1924 5.328480+4 3.703270-2 5.542310+4 3.071580-2 5.854120+4 2.367930-2770023549 1925 6.149050+4 1.874560-2 6.432710+4 1.512850-2 6.785730+4 1.173550-2770023549 1926 7.122740+4 9.320520-3 7.431320+4 7.618780-3 7.847000+4 5.881970-3770023549 1927 8.088460+4 5.092810-3 8.529029+4 3.957930-3 9.008510+4 3.051800-3770023549 1928 9.350790+4 2.556060-3 9.778740+4 2.066280-3 1.025670+5 1.652390-3770023549 1929 1.075580+5 1.326490-3 1.121240+5 1.094510-3 1.182690+5 8.552260-4770023549 1930 1.218350+5 7.454600-4 1.283370+5 5.861730-4 1.354060+5 4.574720-4770023549 1931 1.404470+5 3.863310-4 1.467460+5 3.154080-4 1.532060+5 2.592980-4770023549 1932 1.623800+5 1.999690-4 1.677240+5 1.730350-4 1.775040+5 1.343330-4770023549 1933 1.881860+5 1.034660-4 1.958360+5 8.659410-5 2.054280+5 6.993870-5770023549 1934 2.141120+5 5.839670-5 2.246650+5 4.770270-5 2.370320+5 3.808160-5770023549 1935 2.467520+5 3.216200-5 2.620840+5 2.496240-5 2.783680+5 1.937450-5770023549 1936 2.956670+5 1.522710-5 3.146330+5 1.187780-5 3.282570+5 1.002720-5770023549 1937 3.453870+5 8.183000-6 3.542840+5 7.392290-6 3.771680+5 5.844990-6770023549 1938 4.023170+5 4.587760-6 4.204180+5 3.889420-6 4.432180+5 3.190260-6770023549 1939 4.670700+5 2.642210-6 4.984530+5 2.112970-6 5.284950+5 1.727930-6770023549 1940 5.603490+5 1.413050-6 5.882300+5 1.211570-6 6.326730+5 9.619120-7770023549 1941 6.804750+5 7.636990-7 7.317930+5 6.172270-7 7.728050+5 5.261230-7770023549 1942 8.386730+5 4.140480-7 9.101560+5 3.258470-7 9.767400+5 2.691540-7770023549 1943 1.022000+6 2.417190-7 1.130270+6 1.985140-7 1.250000+6 1.630320-7770023549 1944 1.369310+6 1.376370-7 1.500000+6 1.161970-7 1.701190+6 9.328330-8770023549 1945 1.894980+6 7.727520-8 2.044000+6 6.779980-8 2.332190+6 5.497090-8770023549 1946 2.551640+6 4.764550-8 2.842410+6 4.013190-8 3.000000+6 3.683180-8770023549 1947 3.464100+6 2.982780-8 4.000000+6 2.415570-8 4.472140+6 2.069260-8770023549 1948 5.000000+6 1.772600-8 5.732660+6 1.477500-8 6.480740+6 1.258960-8770023549 1949 7.483310+6 1.048060-8 8.485280+6 8.960580-9 1.000000+7 7.329710-9770023549 1950 1.148910+7 6.213900-9 1.349070+7 5.150310-9 1.600000+7 4.235060-9770023549 1951 1.897370+7 3.496030-9 2.200000+7 2.966380-9 2.600000+7 2.471080-9770023549 1952 3.000000+7 2.116450-9 3.464100+7 1.815310-9 4.000000+7 1.557020-9770023549 1953 4.728710+7 1.305440-9 5.477230+7 1.119470-9 6.447420+7 9.45115-10770023549 1954 7.444840+7 8.14514-10 8.944271+7 6.74084-10 1.000000+8 6.00928-10770023549 1955 770023 0 1956 7.700000+4 1.905690+2 0 0 0 0770023550 1957 9.914000+1 0.000000+0 0 0 1 127770023550 1958 127 2 0 0 0 0770023550 1959 9.914000+1 0.000000+0 9.914000+1 6.811140+4 1.052100+2 6.302560+4770023550 1960 1.118560+2 6.023400+4 1.207120+2 5.913590+4 1.450330+2 6.195740+4770023550 1961 1.601510+2 6.412210+4 1.836360+2 6.412210+4 2.501020+2 5.609610+4770023550 1962 2.985700+2 4.861190+4 3.773260+2 3.877260+4 4.392690+2 3.262850+4770023550 1963 5.055190+2 2.753900+4 6.143720+2 2.156080+4 7.041250+2 1.786810+4770023550 1964 7.960600+2 1.508870+4 9.593420+2 1.157310+4 1.072760+3 9.780071+3770023550 1965 1.209200+3 8.166070+3 1.396030+3 6.576860+3 1.603420+3 5.298320+3770023550 1966 1.801840+3 4.386240+3 2.041770+3 3.582500+3 2.284910+3 2.985870+3770023550 1967 2.557000+3 2.488600+3 2.859650+3 2.051200+3 3.109920+3 1.774390+3770023550 1968 3.527000+3 1.427610+3 4.000000+3 1.148600+3 4.426730+3 9.551970+2770023550 1969 4.776390+3 8.318330+2 5.353350+3 6.760060+2 6.000000+3 5.493700+2770023550 1970 6.721760+3 4.414780+2 7.392170+3 3.676500+2 8.217741+3 2.998680+2770023550 1971 8.896880+3 2.573660+2 1.002230+4 2.046360+2 1.129000+4 1.627100+2770023550 1972 1.251170+4 1.318630+2 1.363530+4 1.105900+2 1.500570+4 9.091330+1770023550 1973 1.662720+4 7.369880+1 1.823580+4 6.101130+1 2.000000+4 5.050800+1770023550 1974 2.213360+4 4.059110+1 2.457260+4 3.239930+1 2.638790+4 2.778360+1770023550 1975 2.874410+4 2.310430+1 3.197810+4 1.824240+1 3.381560+4 1.608190+1770023550 1976 3.728900+4 1.289850+1 4.124490+4 1.027420+1 4.418020+4 8.798070+0770023550 1977 4.797950+4 7.303930+0 5.302550+4 5.784870+0 5.839100+4 4.596900+0770023550 1978 6.317300+4 3.810120+0 6.873210+4 3.115940+0 7.415230+4 2.600010+0770023550 1979 8.000000+4 2.169500+0 8.653960+4 1.783080+0 9.552970+4 1.393210+0770023550 1980 1.037680+5 1.133270+0 1.137810+5 9.004530-1 1.251200+5 7.103400-1770023550 1981 1.334930+5 6.042860-1 1.442820+5 4.977080-1 1.566410+5 4.046080-1770023550 1982 1.698960+5 3.291540-1 1.824110+5 2.747690-1 1.998310+5 2.179290-1770023550 1983 2.102420+5 1.915450-1 2.297840+5 1.528230-1 2.518410+5 1.210730-1770023550 1984 2.680820+5 1.032960-1 2.889590+5 8.537460-2 3.109840+5 7.101170-2770023550 1985 3.402370+5 5.685610-2 3.689100+5 4.654570-2 4.000000+5 3.810500-2770023550 1986 4.398770+5 3.046790-2 4.753750+5 2.538120-2 5.165930+5 2.086960-2770023550 1987 5.708000+5 1.650130-2 6.000000+5 1.467300-2 6.623670+5 1.180660-2770023550 1988 7.378210+5 9.314260-3 8.000000+5 7.796800-3 8.944270+5 6.187580-3770023550 1989 1.000000+6 4.910500-3 1.074770+6 4.259380-3 1.188630+6 3.498070-3770023550 1990 1.308290+6 2.912720-3 1.433160+6 2.459010-3 1.554920+6 2.121960-3770023550 1991 1.701190+6 1.813840-3 1.894980+6 1.502570-3 2.044000+6 1.318330-3770023550 1992 2.332190+6 1.068880-3 2.551640+6 9.264410-4 2.842410+6 7.803420-4770023550 1993 3.000000+6 7.161740-4 3.464100+6 5.799850-4 4.000000+6 4.696940-4770023550 1994 4.472140+6 4.023570-4 5.000000+6 3.446730-4 5.732660+6 2.872930-4770023550 1995 6.480740+6 2.447980-4 7.483310+6 2.037900-4 8.485280+6 1.742340-4770023550 1996 1.000000+7 1.425220-4 1.148910+7 1.208260-4 1.349070+7 1.001450-4770023550 1997 1.600000+7 8.234840-5 1.897370+7 6.797840-5 2.200000+7 5.767950-5770023550 1998 2.600000+7 4.804880-5 3.000000+7 4.115330-5 3.464100+7 3.529780-5770023550 1999 4.000000+7 3.027550-5 4.728710+7 2.538350-5 5.477230+7 2.176740-5770023550 2000 6.447420+7 1.837730-5 7.444840+7 1.583780-5 8.944271+7 1.310720-5770023550 2001 1.000000+8 1.168470-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0770023550 2002 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5.639620+5 7.875280-2 6.219690+5 5.930210-2 6.813000+5 4.222570-2770027506 2494 7.529810+5 2.845910-2 8.157610+5 1.935550-2 8.944270+5 9.557670-3770027506 2495 9.810340+5 1.669820-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0770027506 2496 770027 0 2497 7700 0 0 2498 0 0 0 2499 7.800000+4 1.934140+2 -1 0 0 17800 1451 1 0.000000+0 0.000000+0 0 0 0 67800 1451 2 0.000000+0 0.000000+0 0 0 3 67800 1451 3 0.000000+0 0.000000+0 0 0 133 347800 1451 4 78-PT- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7800 1451 6 ----ENDF/B-VI MATERIAL 7800 7800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7800 1451 8 ------ENDF-6 FORMAT 7800 1451 9 =================================================================7800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7800 1451 11 ENDF/B-VI FORMAT 7800 1451 12 =================================================================7800 1451 13 CONTENTS 7800 1451 14 =================================================================7800 1451 15 MF/MT DESCRIPTION 7800 1451 16 =================================================================7800 1451 17 23/501 TOTAL CROSS SECTION 7800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7800 1451 46 =================================================================7800 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7800 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7800 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7800 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7800 1451 51 =================================================================7800 1451 52 WARNING 7800 1451 53 =================================================================7800 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7800 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7800 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7800 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7800 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7800 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7800 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7800 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7800 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7800 1451 63 =================================================================7800 1451 64 DEFINITION OF NEW TYPES OF DATA 7800 1451 65 =================================================================7800 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7800 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7800 1451 68 7800 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7800 1451 70 C2 FIELDS ARE, 7800 1451 71 7800 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7800 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7800 1451 74 7800 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7800 1451 76 7800 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7800 1451 78 7800 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7800 1451 80 T = THE THOMSON CROSS SECTION 7800 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7800 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7800 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7800 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7800 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7800 1451 86 7800 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7800 1451 88 7800 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7800 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7800 1451 91 =================================================================7800 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7800 1451 93 =================================================================7800 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7800 1451 95 HERE - 10 EV TO 100 MEV 7800 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7800 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7800 1451 98 HERE - PHOTON INTERACTION 7800 1451 99 - AVERAGE FLUORESCENCE YIELD 7800 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7800 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7800 1451 102 HERE - NO SECONDARY ENERGY DATA 7800 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7800 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7800 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7800 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7800 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7800 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7800 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7800 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7800 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7800 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7800 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7800 1451 114 =================================================================7800 1451 115 REFERENCES 7800 1451 116 =================================================================7800 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7800 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7800 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7800 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7800 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7800 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7800 1451 123 7800 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7800 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7800 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7800 1451 127 OF THE DATA, ETC. 7800 1451 128 =================================================================7800 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7800 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7800 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7800 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7800 1451 133 *RECONSTRUCTED MT NUMBERS 7800 1451 134 516 =+(515,515)+(517,517) 7800 1451 135 522 =+(534,572) 7800 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7800 1451 137 1 451 171 17800 1451 138 23 501 513 17800 1451 139 23 502 76 17800 1451 140 23 504 24 17800 1451 141 23 515 17 17800 1451 142 23 516 37 17800 1451 143 23 517 23 17800 1451 144 23 522 405 17800 1451 145 23 534 26 17800 1451 146 23 535 32 17800 1451 147 23 536 36 17800 1451 148 23 537 37 17800 1451 149 23 538 36 17800 1451 150 23 539 39 17800 1451 151 23 540 41 17800 1451 152 23 541 50 17800 1451 153 23 542 53 17800 1451 154 23 543 40 17800 1451 155 23 544 42 17800 1451 156 23 545 45 17800 1451 157 23 546 53 17800 1451 158 23 547 54 17800 1451 159 23 548 68 17800 1451 160 23 549 68 17800 1451 161 23 550 44 17800 1451 162 23 551 51 17800 1451 163 23 552 54 17800 1451 164 23 553 64 17800 1451 165 23 554 65 17800 1451 166 23 559 54 17800 1451 167 27 502 46 17800 1451 168 27 504 43 17800 1451 169 27 505 59 17800 1451 170 27 506 102 17800 1451 171 7800 1 0 172 7800 0 0 173 7.800000+4 1.934140+2 0 0 0 0780023501 174 0.000000+0 0.000000+0 0 0 1 1529780023501 175 1529 2 0 0 0 0780023501 176 1.000000+1 1.006290+7 1.051990+1 1.031880+7 1.081920+1 1.051390+7780023501 177 1.092330+1 1.058170+7 1.102000+1 1.064470+7 1.102000+1 1.510820+7780023501 178 1.114440+1 1.525820+7 1.121240+1 1.534020+7 1.154780+1 1.578540+7780023501 179 1.182690+1 1.615600+7 1.191740+1 1.628400+7 1.255090+1 1.718000+7780023501 180 1.265000+1 1.732710+7 1.334400+1 1.835660+7 1.391330+1 1.922650+7780023501 181 1.407860+1 1.948420+7 1.462870+1 2.034150+7 1.500000+1 2.093040+7780023501 182 1.554920+1 2.191510+7 1.649420+1 2.363130+7 1.683840+1 2.426180+7780023501 183 1.688590+1 2.434880+7 1.730830+1 2.512270+7 1.822530+1 2.681290+7780023501 184 1.878170+1 2.784320+7 1.909200+1 2.841780+7 1.988080+1 2.988350+7780023501 185 2.000000+1 3.010500+7 2.015720+1 3.036710+7 2.125750+1 3.220170+7780023501 186 2.163820+1 3.283800+7 2.185500+1 3.320030+7 2.216000+1 3.372070+7780023501 187 2.309400+1 3.531670+7 2.329360+1 3.565780+7 2.388200+1 3.666430+7780023501 188 2.406620+1 3.685750+7 2.528320+1 3.813460+7 2.676670+1 3.969340+7780023501 189 2.773720+1 3.989570+7 2.833730+1 4.002080+7 3.000000+1 4.036840+7780023501 190 3.060500+1 4.004490+7 3.223710+1 3.917210+7 3.255960+1 3.882600+7780023501 191 3.363340+1 3.767330+7 3.590940+1 3.523020+7 3.642780+1 3.449430+7780023501 192 3.746230+1 3.302560+7 4.000000+1 2.942270+7 4.113140+1 2.781680+7780023501 193 4.349120+1 2.448350+7 4.429760+1 2.349030+7 4.472140+1 2.296830+7780023501 194 4.485060+1 2.280920+7 4.728710+1 1.980870+7 4.862460+1 1.831480+7780023501 195 4.953520+1 1.743580+7 5.141520+1 1.562110+7 5.233180+1 1.473630+7780023501 196 5.355060+1 1.382220+7 5.412340+1 1.339250+7 5.577470+1 1.215400+7780023501 197 5.603490+1 1.195880+7 5.684170+1 1.150930+7 5.705120+1 1.139260+7780023501 198 5.721630+1 1.130060+7 5.737780+1 1.121060+7 5.750230+1 1.114120+7780023501 199 5.772170+1 1.101900+7 5.774000+1 1.100880+7 5.774000+1 1.418210+7780023501 200 5.819120+1 1.390670+7 5.841020+1 1.377300+7 5.869590+1 1.359860+7780023501 201 5.902190+1 1.339970+7 6.000000+1 1.280260+7 6.031290+1 1.259810+7780023501 202 6.150900+1 1.181620+7 6.310140+1 1.096880+7 6.418600+1 1.039170+7780023501 203 6.465590+1 1.013490+7 6.544970+1 9.701150+6 6.854030+1 8.323580+6780023501 204 6.921170+1 8.042910+6 7.046610+1 7.616520+6 7.251020+1 6.921680+6780023501 205 7.287990+1 6.796020+6 7.319000+1 6.690620+6 7.334000+1 6.639630+6780023501 206 7.334000+1 7.977120+6 7.366600+1 7.865840+6 7.421420+1 7.678710+6780023501 207 7.437960+1 7.622240+6 7.458590+1 7.551820+6 7.481000+1 7.475320+6780023501 208 7.510620+1 7.389730+6 7.707250+1 6.857980+6 7.826280+1 6.536080+6780023501 209 7.901870+1 6.315680+6 8.011890+1 6.048330+6 8.171000+1 5.686330+6780023501 210 8.187000+1 5.648220+6 8.187000+1 5.928570+6 8.300860+1 5.673810+6780023501 211 8.438290+1 5.394390+6 8.491590+1 5.294720+6 8.532000+1 5.223690+6780023501 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1.227790+2 2.055780+6780023501 225 1.239030+2 2.035320+6 1.243130+2 2.029160+6 1.263790+2 2.009400+6780023501 226 1.266310+2 2.007650+6 1.283430+2 1.995780+6 1.287120+2 1.993880+6780023501 227 1.288080+2 1.993590+6 1.305970+2 1.988230+6 1.315580+2 1.987330+6780023501 228 1.333390+2 1.992550+6 1.353530+2 2.006340+6 1.353670+2 2.006460+6780023501 229 1.356650+2 2.009400+6 1.362060+2 2.015480+6 1.362480+2 2.015960+6780023501 230 1.376840+2 2.032390+6 1.402900+2 2.065300+6 1.406200+2 2.070430+6780023501 231 1.410120+2 2.076910+6 1.413210+2 2.083460+6 1.416730+2 2.091390+6780023501 232 1.457770+2 2.189110+6 1.465650+2 2.208380+6 1.468060+2 2.214280+6780023501 233 1.471710+2 2.223520+6 1.500000+2 2.298590+6 1.505070+2 2.313160+6780023501 234 1.523790+2 2.372820+6 1.526360+2 2.381180+6 1.527120+2 2.383940+6780023501 235 1.535600+2 2.414730+6 1.537550+2 2.421820+6 1.584910+2 2.597360+6780023501 236 1.611850+2 2.698530+6 1.615480+2 2.712430+6 1.629440+2 2.766430+6780023501 237 1.635760+2 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2.367090-1 3.909090+4 1.906210-1 4.087590+4 1.543340-1780023549 1977 4.262790+4 1.264380-1 4.433850+4 1.048840-1 4.683290+4 8.087040-2780023549 1978 4.919240+4 6.403050-2 5.146170+4 5.168270-2 5.428580+4 4.009830-2780023549 1979 5.698190+4 3.185140-2 5.945060+4 2.603940-2 6.277600+4 2.010680-2780023549 1980 6.470770+4 1.741080-2 6.823220+4 1.353320-2 7.206800+4 1.043670-2780023549 1981 7.480629+4 8.742410-3 7.822990+4 7.068220-3 8.241860+4 5.529370-3780023549 1982 8.700050+4 4.293670-3 9.137729+4 3.413270-3 9.538740+4 2.792340-3780023549 1983 1.007920+5 2.158040-3 1.039340+5 1.869600-3 1.096690+5 1.454460-3780023549 1984 1.159140+5 1.122650-3 1.203750+5 9.409610-4 1.259550+5 7.613130-4780023549 1985 1.317640+5 6.185030-4 1.374230+5 5.110180-4 1.450420+5 3.999810-4780023549 1986 1.494670+5 3.489760-4 1.575360+5 2.748650-4 1.663150+5 2.148840-4780023549 1987 1.725790+5 1.816800-4 1.804080+5 1.485360-4 1.896050+5 1.191400-4780023549 1988 1.989650+5 9.660500-5 2.095080+5 7.716790-5 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1.480540+5 4.508240-1 1.568000+5 4.758260-1 1.607080+5 4.702660-1780027506 2597 1.742460+5 4.905520-1 1.963940+5 4.722510-1 2.680820+5 3.369020-1780027506 2598 3.109840+5 2.718310-1 3.725790+5 2.036420-1 4.113140+5 1.650400-1780027506 2599 4.625150+5 1.295710-1 5.031990+5 1.073790-1 5.524000+5 8.351260-2780027506 2600 6.119980+5 6.179580-2 6.768140+5 4.507870-2 8.000000+5 2.186090-2780027506 2601 8.944270+5 9.624460-3 9.810870+5 1.684590-3 1.000000+6 0.000000+0780027506 2602 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0780027506 2603 780027 0 2604 7800 0 0 2605 0 0 0 2606 7.900000+4 1.952750+2 -1 0 0 17900 1451 1 0.000000+0 0.000000+0 0 0 0 67900 1451 2 0.000000+0 0.000000+0 0 0 3 67900 1451 3 0.000000+0 0.000000+0 0 0 133 347900 1451 4 79-AU- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 7900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 7900 1451 6 ----ENDF/B-VI MATERIAL 7900 7900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 7900 1451 8 ------ENDF-6 FORMAT 7900 1451 9 =================================================================7900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 7900 1451 11 ENDF/B-VI FORMAT 7900 1451 12 =================================================================7900 1451 13 CONTENTS 7900 1451 14 =================================================================7900 1451 15 MF/MT DESCRIPTION 7900 1451 16 =================================================================7900 1451 17 23/501 TOTAL CROSS SECTION 7900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 7900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 7900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 7900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 7900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 7900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 7900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 7900 1451 46 =================================================================7900 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 7900 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 7900 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 7900 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 7900 1451 51 =================================================================7900 1451 52 WARNING 7900 1451 53 =================================================================7900 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 7900 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 7900 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 7900 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 7900 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 7900 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 7900 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 7900 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 7900 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 7900 1451 63 =================================================================7900 1451 64 DEFINITION OF NEW TYPES OF DATA 7900 1451 65 =================================================================7900 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 7900 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 7900 1451 68 7900 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 7900 1451 70 C2 FIELDS ARE, 7900 1451 71 7900 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 7900 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 7900 1451 74 7900 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 7900 1451 76 7900 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7900 1451 78 7900 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 7900 1451 80 T = THE THOMSON CROSS SECTION 7900 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 7900 1451 82 FF(M) = THE ATOMIC FORM FACTOR 7900 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 7900 1451 84 F1(E) = THE REAL SCATTERING FACTOR 7900 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 7900 1451 86 7900 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 7900 1451 88 7900 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 7900 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 7900 1451 91 =================================================================7900 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 7900 1451 93 =================================================================7900 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 7900 1451 95 HERE - 10 EV TO 100 MEV 7900 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION7900 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 7900 1451 98 HERE - PHOTON INTERACTION 7900 1451 99 - AVERAGE FLUORESCENCE YIELD 7900 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 7900 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)7900 1451 102 HERE - NO SECONDARY ENERGY DATA 7900 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 7900 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 7900 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 7900 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 7900 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7900 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 7900 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 7900 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 7900 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 7900 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 7900 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 7900 1451 114 =================================================================7900 1451 115 REFERENCES 7900 1451 116 =================================================================7900 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 7900 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 7900 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 7900 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),7900 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 7900 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 7900 1451 123 7900 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 7900 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 7900 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 7900 1451 127 OF THE DATA, ETC. 7900 1451 128 =================================================================7900 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************7900 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 7900 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 7900 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************7900 1451 133 *RECONSTRUCTED MT NUMBERS 7900 1451 134 516 =+(515,515)+(517,517) 7900 1451 135 522 =+(534,572) 7900 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 7900 1451 137 1 451 171 17900 1451 138 23 501 509 17900 1451 139 23 502 80 17900 1451 140 23 504 24 17900 1451 141 23 515 17 17900 1451 142 23 516 36 17900 1451 143 23 517 23 17900 1451 144 23 522 398 17900 1451 145 23 534 26 17900 1451 146 23 535 32 17900 1451 147 23 536 35 17900 1451 148 23 537 37 17900 1451 149 23 538 36 17900 1451 150 23 539 39 17900 1451 151 23 540 41 17900 1451 152 23 541 50 17900 1451 153 23 542 52 17900 1451 154 23 543 40 17900 1451 155 23 544 42 17900 1451 156 23 545 45 17900 1451 157 23 546 53 17900 1451 158 23 547 54 17900 1451 159 23 548 68 17900 1451 160 23 549 68 17900 1451 161 23 550 44 17900 1451 162 23 551 51 17900 1451 163 23 552 53 17900 1451 164 23 553 64 17900 1451 165 23 554 65 17900 1451 166 23 559 55 17900 1451 167 27 502 46 17900 1451 168 27 504 43 17900 1451 169 27 505 60 17900 1451 170 27 506 107 17900 1451 171 7900 1 0 172 7900 0 0 173 7.900000+4 1.952750+2 0 0 0 0790023501 174 0.000000+0 0.000000+0 0 0 1 1516790023501 175 1516 2 0 0 0 0790023501 176 1.000000+1 2.021200+6 1.027820+1 1.819040+6 1.034930+1 1.767370+6790023501 177 1.046000+1 1.686930+6 1.046000+1 9.766500+6 1.051990+1 9.769080+6790023501 178 1.058110+1 9.782900+6 1.121240+1 9.925440+6 1.125080+1 9.939500+6790023501 179 1.182690+1 1.015040+7 1.192770+1 1.019740+7 1.203910+1 1.024940+7790023501 180 1.216000+1 1.030580+7 1.216000+1 1.496850+7 1.218700+1 1.499120+7790023501 181 1.218810+1 1.499210+7 1.226450+1 1.505610+7 1.236990+1 1.514440+7790023501 182 1.240000+1 1.516960+7 1.255090+1 1.534330+7 1.317050+1 1.610590+7790023501 183 1.334400+1 1.631950+7 1.391330+1 1.704960+7 1.394860+1 1.709610+7790023501 184 1.462870+1 1.799260+7 1.500000+1 1.849380+7 1.554920+1 1.935270+7790023501 185 1.640000+1 2.070600+7 1.649420+1 2.085590+7 1.670870+1 2.120110+7790023501 186 1.730830+1 2.216620+7 1.732050+1 2.218600+7 1.774710+1 2.295990+7790023501 187 1.822530+1 2.385360+7 1.861210+1 2.458040+7 1.909200+1 2.548220+7790023501 188 1.980960+1 2.683600+7 2.000000+1 2.719520+7 2.103980+1 2.916370+7790023501 189 2.119520+1 2.945850+7 2.185500+1 3.071040+7 2.246190+1 3.186410+7790023501 190 2.313730+1 3.321490+7 2.425300+1 3.545000+7 2.449490+1 3.593460+7790023501 191 2.473440+1 3.628340+7 2.576840+1 3.778920+7 2.710810+1 3.974210+7790023501 192 2.851740+1 4.119700+7 2.884370+1 4.142570+7 2.895140+1 4.150120+7790023501 193 2.924930+1 4.171000+7 3.000000+1 4.223660+7 3.223710+1 4.284930+7790023501 194 3.252560+1 4.270500+7 3.380350+1 4.206540+7 3.590940+1 4.101130+7790023501 195 4.000000+1 3.621660+7 4.107720+1 3.454930+7 4.237570+1 3.253930+7790023501 196 4.349120+1 3.081270+7 4.472140+1 2.906700+7 4.835490+1 2.391150+7790023501 197 4.845540+1 2.376890+7 4.862460+1 2.354620+7 5.000000+1 2.194230+7790023501 198 5.020930+1 2.169830+7 5.288760+1 1.857530+7 5.415170+1 1.730480+7790023501 199 5.445350+1 1.703810+7 5.594650+1 1.571840+7 5.693210+1 1.484730+7790023501 200 5.774690+1 1.423250+7 5.798350+1 1.405390+7 5.798700+1 1.405150+7790023501 201 5.960530+1 1.294270+7 6.052910+1 1.230970+7 6.064420+1 1.223080+7790023501 202 6.075980+1 1.216170+7 6.098500+1 1.202690+7 6.111740+1 1.194770+7790023501 203 6.137000+1 1.179660+7 6.137000+1 1.464720+7 6.146680+1 1.458380+7790023501 204 6.199090+1 1.424030+7 6.224420+1 1.407420+7 6.235740+1 1.400000+7790023501 205 6.268300+1 1.380500+7 6.499800+1 1.241840+7 6.533690+1 1.220540+7790023501 206 6.606830+1 1.174580+7 6.619140+1 1.167560+7 6.645050+1 1.154860+7790023501 207 7.000000+1 9.809060+6 7.119270+1 9.224530+6 7.240560+1 8.695150+6790023501 208 7.489390+1 7.721930+6 7.617000+1 7.250470+6 7.629130+1 7.211290+6790023501 209 7.746770+1 6.831240+6 7.766130+1 6.774840+6 7.805720+1 6.659510+6790023501 210 7.855000+1 6.515960+6 7.855000+1 7.621130+6 7.895430+1 7.513310+6790023501 211 7.951640+1 7.363410+6 8.013000+1 7.199770+6 8.142480+1 6.871950+6790023501 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1.175740+2 2.386530+6790023501 225 1.193450+2 2.288570+6 1.228980+2 2.132170+6 1.244540+2 2.063700+6790023501 226 1.249290+2 2.045890+6 1.257170+2 2.019620+6 1.287960+2 1.926260+6790023501 227 1.301280+2 1.887760+6 1.304000+2 1.879890+6 1.307730+2 1.871140+6790023501 228 1.321420+2 1.844450+6 1.327820+2 1.834120+6 1.370870+2 1.773110+6790023501 229 1.400570+2 1.743080+6 1.406270+2 1.739950+6 1.407450+2 1.739350+6790023501 230 1.433980+2 1.738260+6 1.441290+2 1.740110+6 1.454970+2 1.743570+6790023501 231 1.500000+2 1.758030+6 1.516660+2 1.780710+6 1.554920+2 1.840840+6790023501 232 1.576030+2 1.883230+6 1.584910+2 1.901760+6 1.611850+2 1.960220+6790023501 233 1.614020+2 1.965780+6 1.655920+2 2.073680+6 1.657030+2 2.076650+6790023501 234 1.661510+2 2.088630+6 1.682180+2 2.144870+6 1.701190+2 2.207520+6790023501 235 1.709120+2 2.234160+6 1.732050+2 2.311200+6 1.735950+2 2.325010+6790023501 236 1.771420+2 2.464980+6 1.783810+2 2.514800+6 1.807620+2 2.610560+6790023501 237 1.819850+2 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1.697190-2 8.999920+5 9.240760-3790027506 2597 9.493730+5 4.564460-3 9.820870+5 1.592260-3 1.000000+6 0.000000+0790027506 2598 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0790027506 2599 790027 0 2600 7900 0 0 2601 0 0 0 2602 8.000000+4 1.988670+2 -1 0 0 18000 1451 1 0.000000+0 0.000000+0 0 0 0 68000 1451 2 0.000000+0 0.000000+0 0 0 3 68000 1451 3 0.000000+0 0.000000+0 0 0 133 348000 1451 4 80-HG- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8000 1451 6 ----ENDF/B-VI MATERIAL 8000 8000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8000 1451 8 ------ENDF-6 FORMAT 8000 1451 9 =================================================================8000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8000 1451 11 ENDF/B-VI FORMAT 8000 1451 12 =================================================================8000 1451 13 CONTENTS 8000 1451 14 =================================================================8000 1451 15 MF/MT DESCRIPTION 8000 1451 16 =================================================================8000 1451 17 23/501 TOTAL CROSS SECTION 8000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8000 1451 46 =================================================================8000 1451 47 27/502 COHERENT SCATTERING FORM FACTORS 8000 1451 48 27/504 INCOHERENT SCATTERING FUNCTIONS 8000 1451 49 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8000 1451 50 27/506 COHERENT REAL SCATTERING FACTOR 8000 1451 51 =================================================================8000 1451 52 WARNING 8000 1451 53 =================================================================8000 1451 54 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8000 1451 55 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8000 1451 56 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8000 1451 57 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8000 1451 58 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8000 1451 59 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8000 1451 60 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8000 1451 61 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8000 1451 62 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8000 1451 63 =================================================================8000 1451 64 DEFINITION OF NEW TYPES OF DATA 8000 1451 65 =================================================================8000 1451 66 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8000 1451 67 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8000 1451 68 8000 1451 69 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8000 1451 70 C2 FIELDS ARE, 8000 1451 71 8000 1451 72 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8000 1451 73 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8000 1451 74 8000 1451 75 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8000 1451 76 8000 1451 77 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8000 1451 78 8000 1451 79 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8000 1451 80 T = THE THOMSON CROSS SECTION 8000 1451 81 MU = THE COSINE OF THE SCATTERING ANGLE 8000 1451 82 FF(M) = THE ATOMIC FORM FACTOR 8000 1451 83 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8000 1451 84 F1(E) = THE REAL SCATTERING FACTOR 8000 1451 85 F2(E) = THE IMAGINARY SCATTERING FACTOR 8000 1451 86 8000 1451 87 F1(E) AND F2(E) ARE ISOTROPIC. 8000 1451 88 8000 1451 89 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8000 1451 90 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8000 1451 91 =================================================================8000 1451 92 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8000 1451 93 =================================================================8000 1451 94 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8000 1451 95 HERE - 10 EV TO 100 MEV 8000 1451 96 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8000 1451 97 - FLUORESCENCE AND ELECTRON SPECTRA 8000 1451 98 HERE - PHOTON INTERACTION 8000 1451 99 - AVERAGE FLUORESCENCE YIELD 8000 1451 100 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8000 1451 101 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8000 1451 102 HERE - NO SECONDARY ENERGY DATA 8000 1451 103 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8000 1451 104 INTERPOLABLE - SUMMATION CROSS SECTIONS 8000 1451 105 (E.G., TOTAL) ARE NOT INCLUDED 8000 1451 106 - FORM FACTORS ARE LOG X VS. LOG Y 8000 1451 107 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8000 1451 108 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8000 1451 109 ORDER TO ALLOW CROSS SECTIONS DEFINED 8000 1451 110 BY SUMMATION (E.G., TOTAL) TO BE 8000 1451 111 CONSISTENTLY DEFINED AT ALL ENERGIES. 8000 1451 112 - FORM FACTORS ARE LOG X VS. LOG Y 8000 1451 113 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8000 1451 114 =================================================================8000 1451 115 REFERENCES 8000 1451 116 =================================================================8000 1451 117 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8000 1451 118 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8000 1451 119 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8000 1451 120 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8000 1451 121 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8000 1451 122 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8000 1451 123 8000 1451 124 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8000 1451 125 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8000 1451 126 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8000 1451 127 OF THE DATA, ETC. 8000 1451 128 =================================================================8000 1451 129 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8000 1451 130 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8000 1451 131 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8000 1451 132 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8000 1451 133 *RECONSTRUCTED MT NUMBERS 8000 1451 134 516 =+(515,515)+(517,517) 8000 1451 135 522 =+(534,572) 8000 1451 136 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8000 1451 137 1 451 171 18000 1451 138 23 501 527 18000 1451 139 23 502 82 18000 1451 140 23 504 24 18000 1451 141 23 515 17 18000 1451 142 23 516 36 18000 1451 143 23 517 23 18000 1451 144 23 522 414 18000 1451 145 23 534 26 18000 1451 146 23 535 32 18000 1451 147 23 536 35 18000 1451 148 23 537 37 18000 1451 149 23 538 36 18000 1451 150 23 539 39 18000 1451 151 23 540 41 18000 1451 152 23 541 49 18000 1451 153 23 542 51 18000 1451 154 23 543 40 18000 1451 155 23 544 42 18000 1451 156 23 545 45 18000 1451 157 23 546 53 18000 1451 158 23 547 54 18000 1451 159 23 548 67 18000 1451 160 23 549 68 18000 1451 161 23 550 44 18000 1451 162 23 551 50 18000 1451 163 23 552 52 18000 1451 164 23 553 64 18000 1451 165 23 554 66 18000 1451 166 23 559 54 18000 1451 167 27 502 47 18000 1451 168 27 504 44 18000 1451 169 27 505 65 18000 1451 170 27 506 108 18000 1451 171 8000 1 0 172 8000 0 0 173 8.000000+4 1.988670+2 0 0 0 0800023501 174 0.000000+0 0.000000+0 0 0 1 1571800023501 175 1571 2 0 0 0 0800023501 176 1.000000+1 6.689970+6 1.026220+1 6.058010+6 1.049250+1 5.502940+6800023501 177 1.060950+1 5.220940+6 1.098440+1 4.546970+6 1.119450+1 4.169260+6800023501 178 1.129000+1 4.037140+6 1.154780+1 3.680460+6 1.165410+1 3.533390+6800023501 179 1.173290+1 3.424370+6 1.201930+1 3.124040+6 1.238500+1 2.740550+6800023501 180 1.246180+1 2.660020+6 1.280230+1 2.380600+6 1.288710+1 2.311020+6800023501 181 1.327580+1 2.059620+6 1.351900+1 1.902330+6 1.366670+1 1.806800+6800023501 182 1.372860+1 1.777430+6 1.382120+1 1.733480+6 1.390250+1 1.694890+6800023501 183 1.396000+1 1.667600+6 1.396000+1 8.673300+6 1.403460+1 8.652680+6800023501 184 1.407860+1 8.640520+6 1.409240+1 8.636710+6 1.412120+1 8.628750+6800023501 185 1.422680+1 8.599560+6 1.452010+1 8.518490+6 1.500000+1 8.438980+6800023501 186 1.513230+1 8.453630+6 1.573140+1 8.565670+6 1.584910+1 8.587680+6800023501 187 1.590110+1 8.597400+6 1.598000+1 8.617110+6 1.598000+1 1.255090+7800023501 188 1.609170+1 1.260250+7 1.620070+1 1.265280+7 1.630000+1 1.269870+7800023501 189 1.672030+1 1.301370+7 1.688590+1 1.314590+7 1.753770+1 1.366630+7800023501 190 1.787740+1 1.395250+7 1.805550+1 1.412340+7 1.864550+1 1.484960+7800023501 191 1.869250+1 1.490900+7 1.958250+1 1.603440+7 1.988080+1 1.641780+7800023501 192 2.000000+1 1.657100+7 2.040280+1 1.729400+7 2.103980+1 1.844730+7800023501 193 2.135680+1 1.902130+7 2.213360+1 2.043830+7 2.242850+1 2.104510+7800023501 194 2.309400+1 2.242230+7 2.347050+1 2.320140+7 2.378580+1 2.385380+7800023501 195 2.418650+1 2.468610+7 2.449490+1 2.535130+7 2.468050+1 2.575300+7800023501 196 2.528320+1 2.705740+7 2.576840+1 2.818560+7 2.686520+1 3.074120+7800023501 197 2.710810+1 3.130710+7 2.773720+1 3.277600+7 2.833730+1 3.417720+7800023501 198 2.851740+1 3.462100+7 2.960400+1 3.696870+7 3.000000+1 3.782430+7800023501 199 3.190280+1 4.070890+7 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1.554920+6 5.714060-5800023547 1885 1.701190+6 4.883240-5 1.894980+6 4.044110-5 2.044000+6 3.549610-5800023547 1886 2.332190+6 2.876730-5 2.551640+6 2.492660-5 2.842410+6 2.098830-5800023547 1887 3.000000+6 1.925910-5 3.464100+6 1.558910-5 4.000000+6 1.261850-5800023547 1888 4.472140+6 1.080480-5 5.000000+6 9.251790-6 5.732660+6 7.708570-6800023547 1889 6.480740+6 6.565230-6 7.483310+6 5.461810-6 8.485280+6 4.668200-6800023547 1890 1.000000+7 3.818090-6 1.148910+7 3.235220-6 1.349070+7 2.681110-6800023547 1891 1.600000+7 2.203180-6 1.897370+7 1.818220-6 2.200000+7 1.542440-6800023547 1892 2.600000+7 1.284420-6 3.000000+7 1.100050-6 3.464100+7 9.433650-7800023547 1893 4.000000+7 8.089970-7 4.728710+7 6.782900-7 5.477230+7 5.814770-7800023547 1894 6.447420+7 4.907160-7 7.444840+7 4.228340-7 8.944271+7 3.500520-7800023547 1895 1.000000+8 3.121950-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0800023547 1896 800023 0 1897 8.000000+4 1.988670+2 0 0 0 0800023548 1898 1.135000+2 3.692400-4 0 0 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4.201750+4800023548 1912 2.162130+3 3.436270+4 2.325660+3 2.699450+4 2.508100+3 2.086250+4800023548 1913 2.685580+3 1.641480+4 2.881770+3 1.281890+4 3.023700+3 1.083020+4800023548 1914 3.203260+3 8.846580+3 3.460220+3 6.698510+3 3.686780+3 5.309930+3800023548 1915 3.892740+3 4.351240+3 4.113140+3 3.543550+3 4.318900+3 2.944770+3800023548 1916 4.550780+3 2.415020+3 4.845540+3 1.903550+3 5.115260+3 1.545980+3800023548 1917 5.415170+3 1.237370+3 5.700090+3 1.012660+3 6.108860+3 7.708080+2800023548 1918 6.418500+3 6.314930+2 6.781840+3 5.057700+2 7.067790+3 4.281950+2800023548 1919 7.519460+3 3.335600+2 8.000000+3 2.598400+2 8.458970+3 2.060660+2800023548 1920 8.959880+3 1.622410+2 9.318310+3 1.378340+2 9.767401+3 1.133420+2800023548 1921 1.025670+4 9.216020+1 1.075580+4 7.511620+1 1.143200+4 5.777780+1800023548 1922 1.200390+4 4.683110+1 1.250440+4 3.928090+1 1.308640+4 3.229630+1800023548 1923 1.374000+4 2.618480+1 1.456770+4 2.035760+1 1.554920+4 1.529560+1800023548 1924 1.604630+4 1.329700+1 1.695460+4 1.040720+1 1.794520+4 8.083300+0800023548 1925 1.865360+4 6.803970+0 1.954080+4 5.533120+0 2.051330+4 4.446010+0800023548 1926 2.151150+4 3.581170+0 2.242480+4 2.963620+0 2.365370+4 2.324500+0800023548 1927 2.500880+4 1.803810+0 2.617280+4 1.466370+0 2.748010+4 1.174550+0800023548 1928 2.871240+4 9.619200-1 3.000000+4 7.877800-1 3.132820+4 6.439680-1800023548 1929 3.262680+4 5.330830-1 3.450340+4 4.109500-1 3.632000+4 3.236680-1800023548 1930 3.803280+4 2.612080-1 3.967540+4 2.145600-1 4.178060+4 1.686840-1800023548 1931 4.371410+4 1.366660-1 4.627370+4 1.048760-1 4.853080+4 8.403110-2800023548 1932 5.117420+4 6.565500-2 5.405100+4 5.090340-2 5.610470+4 4.279490-2800023548 1933 5.867240+4 3.475090-2 6.194650+4 2.699500-2 6.473050+4 2.200460-2800023548 1934 6.739490+4 1.824150-2 7.080250+4 1.450310-2 7.392520+4 1.186610-2800023548 1935 7.813529+4 9.172020-3 8.058260+4 7.946730-3 8.505129+4 6.183070-3800023548 1936 8.991940+4 4.773250-3 9.339729+4 4.001140-3 9.774879+4 3.237640-3800023548 1937 1.025670+5 2.595920-3 1.075580+5 2.092260-3 1.121240+5 1.732400-3800023548 1938 1.182690+5 1.359750-3 1.250440+5 1.055940-3 1.308640+5 8.589140-4800023548 1939 1.374000+5 6.884230-4 1.435620+5 5.641190-4 1.500000+5 4.622600-4800023548 1940 1.579580+5 3.677600-4 1.649420+5 3.036930-4 1.730830+5 2.453920-4800023548 1941 1.822530+5 1.952870-4 1.909200+5 1.590030-4 2.000000+5 1.294600-4800023548 1942 2.103980+5 1.047260-4 2.242480+5 8.021060-5 2.365370+5 6.416440-5800023548 1943 2.510180+5 5.004270-5 2.668810+5 3.872700-5 2.782670+5 3.251690-5800023548 1944 2.925730+5 2.636470-5 3.054430+5 2.211060-5 3.209250+5 1.818350-5800023548 1945 3.390920+5 1.462530-5 3.597000+5 1.158180-5 3.793150+5 9.388150-6800023548 1946 4.000000+5 7.610000-6 4.229490+5 6.182530-6 4.410200+5 5.290560-6800023548 1947 4.695850+5 4.187990-6 5.000000+5 3.315200-6 5.233180+5 2.812390-6800023548 1948 5.603490+5 2.197470-6 6.000000+5 1.717000-6 6.395620+5 1.403820-6800023548 1949 6.930470+5 1.089690-6 7.412360+5 8.815160-7 7.988540+5 6.961380-7800023548 1950 8.629670+5 5.457030-7 9.096060+5 4.622340-7 9.689120+5 3.787460-7800023548 1951 1.000000+6 3.428400-7 1.074770+6 2.973930-7 1.188630+6 2.442400-7800023548 1952 1.308290+6 2.033470-7 1.433160+6 1.716300-7 1.554920+6 1.480730-7800023548 1953 1.701190+6 1.265430-7 1.894980+6 1.047990-7 2.044000+6 9.198400-8800023548 1954 2.332190+6 7.454720-8 2.551640+6 6.459440-8 2.842410+6 5.438890-8800023548 1955 3.000000+6 4.990780-8 3.464100+6 4.039740-8 4.000000+6 3.269930-8800023548 1956 4.472140+6 2.799930-8 5.000000+6 2.397490-8 5.732660+6 1.997590-8800023548 1957 6.480740+6 1.701300-8 7.483310+6 1.415360-8 8.485280+6 1.209710-8800023548 1958 1.000000+7 9.894130-9 1.148910+7 8.383690-9 1.349070+7 6.947800-9800023548 1959 1.600000+7 5.709290-9 1.897370+7 4.711700-9 2.200000+7 3.997050-9800023548 1960 2.600000+7 3.328420-9 3.000000+7 2.850640-9 3.464100+7 2.444610-9800023548 1961 4.000000+7 2.096420-9 4.728710+7 1.757710-9 5.477230+7 1.506830-9800023548 1962 6.447420+7 1.271630-9 7.444840+7 1.095730-9 8.944271+7 9.07120-10800023548 1963 1.000000+8 8.09016-10 0.000000+0 0.000000+0 0.000000+0 0.000000+0800023548 1964 800023 0 1965 8.000000+4 1.988670+2 0 0 0 0800023549 1966 1.091300+2 3.924800-3 0 0 1 195800023549 1967 195 2 0 0 0 0800023549 1968 1.091300+2 0.000000+0 1.091300+2 1.733080+5 1.123840+2 2.212290+5800023549 1969 1.148260+2 2.507310+5 1.179760+2 2.749710+5 1.230050+2 2.915630+5800023549 1970 1.376210+2 3.034060+5 1.449980+2 3.247700+5 1.513550+2 3.592400+5800023549 1971 1.589650+2 4.262310+5 1.634470+2 4.796340+5 1.719060+2 6.156980+5800023549 1972 1.785360+2 7.425250+5 1.889630+2 9.833910+5 2.188990+2 1.823350+6800023549 1973 2.256590+2 2.008810+6 2.424780+2 2.384770+6 2.624570+2 2.707750+6800023549 1974 2.846160+2 2.917510+6 3.187040+2 3.016550+6 3.577100+2 2.920580+6800023549 1975 4.113140+2 2.618670+6 5.175650+2 1.902590+6 5.968720+2 1.478290+6800023549 1976 6.637820+2 1.193310+6 7.401080+2 9.401870+5 8.046200+2 7.720840+5800023549 1977 8.951630+2 5.968880+5 9.816680+2 4.688190+5 1.089450+3 3.539220+5800023549 1978 1.189050+3 2.756300+5 1.286460+3 2.200920+5 1.391840+3 1.757440+5800023549 1979 1.512140+3 1.361710+5 1.600060+3 1.144310+5 1.712350+3 9.287400+4800023549 1980 1.850400+3 7.239660+4 1.987690+3 5.709570+4 2.107330+3 4.703190+4800023549 1981 2.243520+3 3.820910+4 2.373590+3 3.169300+4 2.566770+3 2.430980+4800023549 1982 2.725970+3 1.960370+4 2.914910+3 1.542680+4 3.123480+3 1.204930+4800023549 1983 3.274180+3 1.018110+4 3.464650+3 8.317481+3 3.718060+3 6.405850+3800023549 1984 3.858320+3 5.568680+3 4.116620+3 4.358220+3 4.401120+3 3.384850+3800023549 1985 4.606290+3 2.849030+3 4.865160+3 2.316780+3 5.231530+3 1.744450+3800023549 1986 5.538030+3 1.390410+3 5.808320+3 1.149980+3 6.124880+3 9.308270+2800023549 1987 6.483221+3 7.421440+2 6.823610+3 6.052650+2 7.181880+3 4.936320+2800023549 1988 7.622020+3 3.854360+2 8.011080+3 3.133430+2 8.467750+3 2.488100+2800023549 1989 8.965981+3 1.961490+2 9.322390+3 1.667890+2 9.768831+3 1.372980+2800023549 1990 1.022340+4 1.132150+2 1.086370+4 8.704560+1 1.140510+4 7.052990+1800023549 1991 1.187880+4 5.914230+1 1.242960+4 4.861080+1 1.304810+4 3.939880+1800023549 1992 1.383110+4 3.061850+1 1.470770+4 2.333760+1 1.537700+4 1.910130+1800023549 1993 1.601780+4 1.589430+1 1.683780+4 1.269510+1 1.758970+4 1.042870+1800023549 1994 1.860410+4 8.102600+0 1.919400+4 7.040350+0 2.027180+4 5.505440+0800023549 1995 2.144670+4 4.272200+0 2.228650+4 3.593820+0 2.333790+4 2.920400+0800023549 1996 2.443990+4 2.363250+0 2.555810+4 1.917290+0 2.665280+4 1.575950+0800023549 1997 2.772170+4 1.311350+0 2.928030+4 1.015490+0 3.075450+4 8.071520-1800023549 1998 3.217240+4 6.538190-1 3.393680+4 5.094100-1 3.562120+4 4.061910-1800023549 1999 3.716350+4 3.331850-1 3.924090+4 2.583810-1 4.044760+4 2.242710-1800023549 2000 4.264930+4 1.750540-1 4.504540+4 1.355840-1 4.675590+4 1.139070-1800023549 2001 4.889440+4 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9.189770-2 6.028950+5 7.091970-2800027506 2634 6.627940+5 5.111220-2 7.287200+5 3.596160-2 7.891950+5 2.465900-2800027506 2635 8.077530+5 2.198880-2 8.534810+5 1.660070-2 8.629670+5 1.497100-2800027506 2636 8.999920+5 9.454120-3 9.820870+5 1.646070-3 1.000000+6 0.000000+0800027506 2637 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0800027506 2638 800027 0 2639 8000 0 0 2640 0 0 0 2641 8.100000+4 2.026150+2 -1 0 0 18100 1451 1 0.000000+0 0.000000+0 0 0 0 68100 1451 2 0.000000+0 0.000000+0 0 0 3 68100 1451 3 0.000000+0 0.000000+0 0 0 135 368100 1451 4 81-TL- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8100 1451 6 ----ENDF/B-VI MATERIAL 8100 8100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8100 1451 8 ------ENDF-6 FORMAT 8100 1451 9 =================================================================8100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8100 1451 11 ENDF/B-VI FORMAT 8100 1451 12 =================================================================8100 1451 13 CONTENTS 8100 1451 14 =================================================================8100 1451 15 MF/MT DESCRIPTION 8100 1451 16 =================================================================8100 1451 17 23/501 TOTAL CROSS SECTION 8100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8100 1451 48 =================================================================8100 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 8100 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 8100 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8100 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 8100 1451 53 =================================================================8100 1451 54 WARNING 8100 1451 55 =================================================================8100 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8100 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8100 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8100 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8100 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8100 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8100 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8100 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8100 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8100 1451 65 =================================================================8100 1451 66 DEFINITION OF NEW TYPES OF DATA 8100 1451 67 =================================================================8100 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8100 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8100 1451 70 8100 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8100 1451 72 C2 FIELDS ARE, 8100 1451 73 8100 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8100 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8100 1451 76 8100 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8100 1451 78 8100 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8100 1451 80 8100 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8100 1451 82 T = THE THOMSON CROSS SECTION 8100 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 8100 1451 84 FF(M) = THE ATOMIC FORM FACTOR 8100 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8100 1451 86 F1(E) = THE REAL SCATTERING FACTOR 8100 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 8100 1451 88 8100 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 8100 1451 90 8100 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8100 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8100 1451 93 =================================================================8100 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8100 1451 95 =================================================================8100 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8100 1451 97 HERE - 10 EV TO 100 MEV 8100 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8100 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 8100 1451 100 HERE - PHOTON INTERACTION 8100 1451 101 - AVERAGE FLUORESCENCE YIELD 8100 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8100 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8100 1451 104 HERE - NO SECONDARY ENERGY DATA 8100 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8100 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 8100 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 8100 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 8100 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8100 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8100 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 8100 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 8100 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 8100 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 8100 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8100 1451 116 =================================================================8100 1451 117 REFERENCES 8100 1451 118 =================================================================8100 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8100 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8100 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8100 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8100 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8100 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8100 1451 125 8100 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8100 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8100 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8100 1451 129 OF THE DATA, ETC. 8100 1451 130 =================================================================8100 1451 131 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8100 1451 132 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8100 1451 133 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8100 1451 134 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8100 1451 135 *RECONSTRUCTED MT NUMBERS 8100 1451 136 516 =+(515,515)+(517,517) 8100 1451 137 522 =+(534,572) 8100 1451 138 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8100 1451 139 1 451 175 18100 1451 140 23 501 548 18100 1451 141 23 502 89 18100 1451 142 23 504 25 18100 1451 143 23 515 17 18100 1451 144 23 516 36 18100 1451 145 23 517 23 18100 1451 146 23 522 429 18100 1451 147 23 534 26 18100 1451 148 23 535 31 18100 1451 149 23 536 35 18100 1451 150 23 537 37 18100 1451 151 23 538 36 18100 1451 152 23 539 38 18100 1451 153 23 540 41 18100 1451 154 23 541 48 18100 1451 155 23 542 50 18100 1451 156 23 543 39 18100 1451 157 23 544 41 18100 1451 158 23 545 44 18100 1451 159 23 546 52 18100 1451 160 23 547 53 18100 1451 161 23 548 67 18100 1451 162 23 549 66 18100 1451 163 23 550 44 18100 1451 164 23 551 51 18100 1451 165 23 552 52 18100 1451 166 23 553 63 18100 1451 167 23 554 67 18100 1451 168 23 559 54 18100 1451 169 23 560 57 18100 1451 170 23 561 59 18100 1451 171 27 502 49 18100 1451 172 27 504 46 18100 1451 173 27 505 70 18100 1451 174 27 506 115 18100 1451 175 8100 1 0 176 8100 0 0 177 8.100000+4 2.026150+2 0 0 0 0810023501 178 0.000000+0 0.000000+0 0 0 1 1633810023501 179 1633 2 0 0 0 0810023501 180 1.000000+1 4.171740+6 1.039340+1 3.852530+6 1.081530+1 3.510200+6810023501 181 1.099690+1 3.362840+6 1.106400+1 3.315400+6 1.129500+1 3.176070+6810023501 182 1.166880+1 2.950620+6 1.171780+1 2.921060+6 1.175930+1 2.896030+6810023501 183 1.188440+1 2.820580+6 1.189650+1 2.814160+6 1.203520+1 2.740570+6810023501 184 1.206570+1 2.724390+6 1.208890+1 2.713630+6 1.213540+1 2.692040+6810023501 185 1.217990+1 2.671390+6 1.222910+1 2.648560+6 1.230930+1 2.611350+6810023501 186 1.236000+1 2.587820+6 1.236000+1 7.634970+6 1.240730+1 7.537320+6810023501 187 1.245870+1 7.431200+6 1.254880+1 7.245160+6 1.260180+1 7.135730+6810023501 188 1.281140+1 6.702960+6 1.291480+1 6.489470+6 1.297290+1 6.372670+6810023501 189 1.302440+1 6.286210+6 1.316140+1 6.056210+6 1.342820+1 5.622480+6810023501 190 1.345240+1 5.583140+6 1.355250+1 5.448180+6 1.356560+1 5.430520+6810023501 191 1.391840+1 4.954850+6 1.410450+1 4.712000+6 1.420510+1 4.580720+6810023501 192 1.436020+1 4.417910+6 1.468260+1 4.092860+6 1.500000+1 3.772850+6810023501 193 1.528880+1 3.531950+6 1.539980+1 3.439360+6 1.576670+1 3.144270+6810023501 194 1.582690+1 3.097890+6 1.590950+1 3.046440+6 1.619070+1 2.871320+6810023501 195 1.639150+1 2.746260+6 1.655520+1 2.644310+6 1.672740+1 2.541210+6810023501 196 1.720380+1 2.301440+6 1.728180+1 2.264400+6 1.737050+1 2.222280+6810023501 197 1.794410+1 1.987790+6 1.800540+1 1.963780+6 1.817510+1 1.897310+6810023501 198 1.869540+1 1.726030+6 1.882320+1 1.683960+6 1.891730+1 1.655060+6810023501 199 1.903010+1 1.620420+6 1.906180+1 1.612170+6 1.906580+1 1.611180+6810023501 200 1.964530+1 1.468380+6 1.976070+1 1.439940+6 1.984600+1 1.418920+6810023501 201 1.993930+1 1.395930+6 2.001000+1 1.380710+6 2.001000+1 6.504150+6810023501 202 2.001550+1 6.504470+6 2.009190+1 6.508970+6 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2.023080+4 2.796280+3 1.591000+4810023548 1953 3.000890+3 1.241840+4 3.148910+3 1.048820+4 3.336210+3 8.563670+3810023548 1954 3.567510+3 6.731130+3 3.777570+3 5.460860+3 4.000000+3 4.430300+3810023548 1955 4.229490+3 3.589670+3 4.410200+3 3.065640+3 4.695850+3 2.419470+3810023548 1956 5.000000+3 1.909500+3 5.323390+3 1.496420+3 5.555800+3 1.267280+3810023548 1957 5.848120+3 1.038140+3 6.219690+3 8.132980+2 6.623670+3 6.317260+2810023548 1958 7.067790+3 4.868310+2 7.387540+3 4.075970+2 7.790400+3 3.293470+2810023548 1959 8.226281+3 2.637620+2 8.637790+3 2.155000+2 9.101571+3 1.735450+2810023548 1960 9.540210+3 1.428170+2 1.000000+4 1.175300+2 1.050670+4 9.509920+1810023548 1961 1.118060+4 7.286070+1 1.177780+4 5.830040+1 1.248040+4 4.548280+1810023548 1962 1.324890+4 3.520890+1 1.379990+4 2.956910+1 1.449140+4 2.398070+1810023548 1963 1.516640+4 1.971080+1 1.598730+4 1.568680+1 1.676400+4 1.277270+1810023548 1964 1.787450+4 9.639570+0 1.875380+4 7.749330+0 1.931270+4 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2.046970-3 1.182690+5 1.607700-3 1.250440+5 1.249340-3810023548 1978 1.308640+5 1.016800-3 1.374000+5 8.154570-4 1.435620+5 6.685750-4810023548 1979 1.500000+5 5.481500-4 1.579580+5 4.362980-4 1.649420+5 3.604350-4810023548 1980 1.730830+5 2.913690-4 1.822530+5 2.319860-4 1.909200+5 1.889640-4810023548 1981 2.000000+5 1.539200-4 2.103980+5 1.246010-4 2.242480+5 9.551840-5810023548 1982 2.365370+5 7.646690-5 2.510180+5 5.968720-5 2.668810+5 4.623030-5810023548 1983 2.782670+5 3.883970-5 2.925730+5 3.151340-5 3.054430+5 2.643370-5810023548 1984 3.209250+5 2.172970-5 3.390920+5 1.746940-5 3.597000+5 1.382720-5810023548 1985 3.793150+5 1.120320-5 4.000000+5 9.077200-6 4.229490+5 7.360730-6810023548 1986 4.410200+5 6.289960-6 4.695850+5 4.968650-6 5.000000+5 3.924900-6810023548 1987 5.233180+5 3.343900-6 5.603490+5 2.629610-6 6.000000+5 2.067900-6810023548 1988 6.461930+5 1.617420-6 6.797100+5 1.367950-6 7.222340+5 1.118830-6810023548 1989 7.444840+5 1.011840-6 8.000000+5 8.097500-7 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2.490820+5810023549 2017 1.378750+3 1.975310+5 1.489100+3 1.570880+5 1.586930+3 1.288710+5810023549 2018 1.698890+3 1.042370+5 1.806390+3 8.612000+4 1.920700+3 7.115170+4810023549 2019 2.053790+3 5.693030+4 2.200710+3 4.523500+4 2.372990+3 3.519880+4810023549 2020 2.560610+3 2.721490+4 2.702160+3 2.250490+4 2.869020+3 1.821250+4810023549 2021 3.059250+3 1.451760+4 3.241210+3 1.183780+4 3.506410+3 8.928670+3810023549 2022 3.713510+3 7.205730+3 3.958570+3 5.675290+3 4.228240+3 4.436690+3810023549 2023 4.422560+3 3.751040+3 4.667570+3 3.066650+3 4.975910+3 2.397930+3810023549 2024 5.287410+3 1.889470+3 5.556210+3 1.555310+3 5.859400+3 1.262570+3810023549 2025 6.245130+3 9.830689+2 6.716701+3 7.337040+2 7.071431+3 5.943530+2810023549 2026 7.382681+3 4.982900+2 7.745451+3 4.094680+2 8.153940+3 3.317930+2810023549 2027 8.672661+3 2.577770+2 9.144661+3 2.067790+2 9.719201+3 1.595740+2810023549 2028 1.005460+4 1.381320+2 1.066970+4 1.073060+2 1.134340+4 8.270460+1810023549 2029 1.182700+4 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1.491600+4-1.470270+1 1.503710+4-1.380010+1 1.517760+4-1.349900+1810027506 2767 1.526690+4-1.349200+1 1.533090+4-1.326820+1 1.545570+4-1.228960+1810027506 2768 1.560140+4-1.089350+1 1.570960+4-1.009370+1 1.595660+4-8.768170+0810027506 2769 1.627530+4-7.543720+0 1.665490+4-6.422530+0 1.695060+4-5.702590+0810027506 2770 1.743180+4-4.846210+0 1.824240+4-3.673610+0 1.859490+4-3.273540+0810027506 2771 1.915800+4-2.729620+0 1.988470+4-2.130910+0 2.103980+4-1.437000+0810027506 2772 2.125850+4-1.321430+0 2.277570+4-6.875290-1 2.301310+4-5.962040-1810027506 2773 2.317110+4-5.588770-1 2.341440+4-5.179750-1 2.448420+4-2.890350-1810027506 2774 2.469100+4-2.464360-1 2.489380+4-2.090680-1 2.536430+4-1.374010-1810027506 2775 2.548750+4-1.153530-1 2.596960+4-4.609900-2 2.624580+4-1.738310-2810027506 2776 2.631750+4-9.525410-3 2.635300+4-5.558620-3 2.693950+4 4.834630-2810027506 2777 2.709460+4 6.276930-2 2.900030+4 1.580830-1 2.917580+4 1.621290-1810027506 2778 3.012670+4 1.657180-1 3.115300+4 1.797380-1 3.177910+4 1.803550-1810027506 2779 3.236170+4 1.801040-1 3.275530+4 1.760000-1 3.359820+4 1.487970-1810027506 2780 3.525170+4 1.153550-1 3.595670+4 9.841400-2 3.634980+4 8.275950-2810027506 2781 3.728870+4 3.282990-2 3.767480+4 1.728310-2 3.803280+4 2.342770-3810027506 2782 3.869730+4-2.511860-2 3.886120+4-3.158320-2 3.925260+4-4.798430-2810027506 2783 4.000000+4-8.010880-2 4.015410+4-8.617890-2 4.063170+4-1.074680-1810027506 2784 4.087050+4-1.193850-1 4.126090+4-1.433470-1 4.155470+4-1.586070-1810027506 2785 4.403370+4-2.691980-1 4.572450+4-3.463770-1 4.674380+4-4.001380-1810027506 2786 4.814850+4-4.691220-1 5.083880+4-6.190530-1 5.438680+4-8.083350-1810027506 2787 5.737920+4-9.681980-1 6.288050+4-1.295050+0 6.795500+4-1.645730+0810027506 2788 7.412120+4-2.200460+0 7.824360+4-2.768980+0 8.030490+4-3.193540+0810027506 2789 8.251390+4-3.908840+0 8.333090+4-4.337640+0 8.390910+4-4.780740+0810027506 2790 8.423429+4-5.122400+0 8.446320+4-5.413640+0 8.462240+4-5.639930+0810027506 2791 8.472920+4-5.798550+0 8.487020+4-6.014180+0 8.494479+4-6.128090+0810027506 2792 8.509500+4-6.347430+0 8.525979+4-6.563560+0 8.544479+4-6.754740+0810027506 2793 8.574270+4-6.878010+0 8.604060+4-6.764080+0 8.640750+4-6.358860+0810027506 2794 8.679020+4-5.756580+0 8.707490+4-5.295370+0 8.738290+4-4.838790+0810027506 2795 8.779129+4-4.377460+0 8.858240+4-3.790160+0 9.006579+4-3.064710+0810027506 2796 9.136379+4-2.611780+0 9.363529+4-2.021780+0 9.554829+4-1.650310+0810027506 2797 9.789440+4-1.283870+0 1.004500+5-1.005370+0 1.044270+5-6.813170-1810027506 2798 1.061970+5-5.559940-1 1.139730+5-1.797220-1 1.169030+5-5.995300-2810027506 2799 1.183680+5-1.118130-2 1.198550+5 1.816590-2 1.247660+5 1.189480-1810027506 2800 1.337930+5 2.769330-1 1.360500+5 3.026450-1 1.376270+5 3.059990-1810027506 2801 1.467460+5 3.943690-1 1.493480+5 4.090850-1 1.506550+5 4.063090-1810027506 2802 1.604630+5 4.548990-1 1.636450+5 4.605620-1 1.655920+5 4.552590-1810027506 2803 1.758540+5 4.718550-1 1.782990+5 4.640750-1 1.914020+5 4.710870-1810027506 2804 2.519330+5 3.860800-1 3.122130+5 2.860140-1 3.561020+5 2.312730-1810027506 2805 4.229490+5 1.691780-1 4.511870+5 1.466660-1 4.934480+5 1.192060-1810027506 2806 5.477230+5 9.389030-2 6.000000+5 7.350320-2 6.627940+5 5.221390-2810027506 2807 7.308990+5 3.632360-2 7.891950+5 2.517020-2 8.076210+5 2.250400-2810027506 2808 8.534810+5 1.699410-2 8.601310+5 1.576490-2 8.999920+5 9.645030-3810027506 2809 9.820870+5 1.692250-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0810027506 2810 810027 0 2811 8100 0 0 2812 0 0 0 2813 8.200000+4 2.054200+2 -1 0 0 18200 1451 1 0.000000+0 0.000000+0 0 0 0 68200 1451 2 0.000000+0 0.000000+0 0 0 3 68200 1451 3 0.000000+0 0.000000+0 0 0 135 368200 1451 4 82-PB- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8200 1451 6 ----ENDF/B-VI MATERIAL 8200 8200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8200 1451 8 ------ENDF-6 FORMAT 8200 1451 9 =================================================================8200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8200 1451 11 ENDF/B-VI FORMAT 8200 1451 12 =================================================================8200 1451 13 CONTENTS 8200 1451 14 =================================================================8200 1451 15 MF/MT DESCRIPTION 8200 1451 16 =================================================================8200 1451 17 23/501 TOTAL CROSS SECTION 8200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8200 1451 48 =================================================================8200 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 8200 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 8200 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8200 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 8200 1451 53 =================================================================8200 1451 54 WARNING 8200 1451 55 =================================================================8200 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8200 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8200 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8200 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8200 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8200 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8200 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8200 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8200 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8200 1451 65 =================================================================8200 1451 66 DEFINITION OF NEW TYPES OF DATA 8200 1451 67 =================================================================8200 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8200 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8200 1451 70 8200 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8200 1451 72 C2 FIELDS ARE, 8200 1451 73 8200 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8200 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8200 1451 76 8200 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8200 1451 78 8200 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8200 1451 80 8200 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8200 1451 82 T = THE THOMSON CROSS SECTION 8200 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 8200 1451 84 FF(M) = THE ATOMIC FORM FACTOR 8200 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8200 1451 86 F1(E) = THE REAL SCATTERING FACTOR 8200 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 8200 1451 88 8200 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 8200 1451 90 8200 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8200 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8200 1451 93 =================================================================8200 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8200 1451 95 =================================================================8200 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8200 1451 97 HERE - 10 EV TO 100 MEV 8200 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8200 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 8200 1451 100 HERE - PHOTON INTERACTION 8200 1451 101 - AVERAGE FLUORESCENCE YIELD 8200 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8200 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8200 1451 104 HERE - NO SECONDARY ENERGY DATA 8200 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8200 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 8200 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 8200 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 8200 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8200 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8200 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 8200 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 8200 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 8200 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 8200 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8200 1451 116 =================================================================8200 1451 117 REFERENCES 8200 1451 118 =================================================================8200 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8200 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8200 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8200 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8200 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8200 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8200 1451 125 8200 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8200 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8200 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8200 1451 129 OF THE DATA, ETC. 8200 1451 130 =================================================================8200 1451 131 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8200 1451 132 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8200 1451 133 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8200 1451 134 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8200 1451 135 *RECONSTRUCTED MT NUMBERS 8200 1451 136 516 =+(515,515)+(517,517) 8200 1451 137 522 =+(534,572) 8200 1451 138 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8200 1451 139 1 451 175 18200 1451 140 23 501 558 18200 1451 141 23 502 88 18200 1451 142 23 504 25 18200 1451 143 23 515 17 18200 1451 144 23 516 36 18200 1451 145 23 517 23 18200 1451 146 23 522 440 18200 1451 147 23 534 26 18200 1451 148 23 535 31 18200 1451 149 23 536 35 18200 1451 150 23 537 36 18200 1451 151 23 538 36 18200 1451 152 23 539 38 18200 1451 153 23 540 41 18200 1451 154 23 541 48 18200 1451 155 23 542 49 18200 1451 156 23 543 40 18200 1451 157 23 544 41 18200 1451 158 23 545 45 18200 1451 159 23 546 52 18200 1451 160 23 547 53 18200 1451 161 23 548 67 18200 1451 162 23 549 66 18200 1451 163 23 550 43 18200 1451 164 23 551 48 18200 1451 165 23 552 51 18200 1451 166 23 553 66 18200 1451 167 23 554 67 18200 1451 168 23 559 53 18200 1451 169 23 560 58 18200 1451 170 23 561 60 18200 1451 171 27 502 48 18200 1451 172 27 504 45 18200 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1.609520+0 6.974640+4 1.326010+0820023546 1874 7.450910+4 1.034090+0 7.730070+4 9.003790-1 8.243990+4 7.066350-1820023546 1875 8.809779+4 5.503980-1 9.217660+4 4.641800-1 9.732110+4 3.783550-1820023546 1876 1.025670+5 3.105900-1 1.099690+5 2.390920-1 1.162780+5 1.939190-1820023546 1877 1.218350+5 1.627430-1 1.283370+5 1.338860-1 1.356890+5 1.086200-1820023546 1878 1.450690+5 8.451300-2 1.527210+5 6.976400-2 1.604630+5 5.813470-2820023546 1879 1.695460+5 4.745040-2 1.798500+5 3.817200-2 1.896570+5 3.138330-2820023546 1880 2.000000+5 2.580200-2 2.151150+5 1.991910-2 2.286410+5 1.604020-2820023546 1881 2.447070+5 1.260260-2 2.624580+5 9.827360-3 2.752930+5 8.294400-3820023546 1882 2.915270+5 6.767100-3 3.000000+5 6.112400-3 3.223710+5 4.793220-3820023546 1883 3.471900+5 3.730300-3 3.651980+5 3.144160-3 3.880460+5 2.561050-3820023546 1884 4.113140+5 2.113000-3 4.410200+5 1.688360-3 4.695850+5 1.379660-3820023546 1885 5.000000+5 1.127400-3 5.415170+5 8.820250-4 5.798350+5 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1.112890-6 4.000000+7 9.543240-7 4.728710+7 7.999340-7820023546 1899 5.477230+7 6.857310-7 6.447420+7 5.787320-7 7.444840+7 4.986920-7820023546 1900 8.944271+7 4.126970-7 1.000000+8 3.679200-7 0.000000+0 0.000000+0820023546 1901 820023 0 1902 8.200000+4 2.054200+2 0 0 0 0820023547 1903 4.124900+2 1.210000-2 0 0 1 149820023547 1904 149 2 0 0 0 0820023547 1905 4.124900+2 0.000000+0 4.124900+2 1.111100+5 4.192030+2 1.377810+5820023547 1906 4.343600+2 2.076890+5 4.439300+2 2.367590+5 4.616140+2 2.679420+5820023547 1907 4.783150+2 2.884830+5 5.280170+2 3.344640+5 6.000000+2 3.707830+5820023547 1908 6.729730+2 3.805830+5 7.000000+2 3.811520+5 8.000000+2 3.644290+5820023547 1909 1.164210+3 2.533150+5 1.355400+3 2.041190+5 1.611850+3 1.535820+5820023547 1910 1.795470+3 1.263220+5 2.067970+3 9.688820+4 2.248160+3 8.135979+4820023547 1911 2.485240+3 6.597450+4 2.820260+3 4.967480+4 3.117440+3 3.927580+4820023547 1912 3.396970+3 3.211340+4 3.766170+3 2.496130+4 4.113140+3 1.993310+4820023547 1913 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5.743610+0 5.221370+4 4.376380+0820023547 1926 5.542310+4 3.473100+0 5.854120+4 2.809290+0 6.246270+4 2.185090+0820023547 1927 6.624730+4 1.739650+0 6.974640+4 1.425060+0 7.450910+4 1.103200+0820023547 1928 7.730070+4 9.566460-1 8.243990+4 7.454490-1 8.809779+4 5.763670-1820023547 1929 9.217660+4 4.836460-1 9.732110+4 3.918510-1 1.025670+5 3.198630-1820023547 1930 1.075580+5 2.662940-1 1.143200+5 2.104780-1 1.218350+5 1.646470-1820023547 1931 1.283370+5 1.347260-1 1.356890+5 1.086750-1 1.426650+5 8.956540-2820023547 1932 1.500000+5 7.381600-2 1.554920+5 6.441590-2 1.655920+5 5.075360-2820023547 1933 1.766950+5 3.969230-2 1.846890+5 3.356710-2 1.947600+5 2.745140-2820023547 1934 2.051330+5 2.266490-2 2.199390+5 1.764530-2 2.286410+5 1.534930-2820023547 1935 2.447070+5 1.202660-2 2.624580+5 9.351670-3 2.752930+5 7.877650-3820023547 1936 2.915270+5 6.412190-3 3.000000+5 5.785100-3 3.223710+5 4.541250-3820023547 1937 3.471900+5 3.537980-3 3.651980+5 2.984230-3 3.880460+5 2.432900-3820023547 1938 4.113140+5 2.011490-3 4.410200+5 1.613940-3 4.695850+5 1.323790-3820023547 1939 5.000000+5 1.085800-3 5.415170+5 8.571290-4 5.798350+5 6.998650-4820023547 1940 6.000000+5 6.324100-4 6.447420+5 5.203780-4 6.804750+5 4.495820-4820023547 1941 7.378210+5 3.610300-4 8.000000+5 2.899200-4 8.458970+5 2.519590-4820023547 1942 9.197270+5 2.041300-4 1.000000+6 1.653800-4 1.074770+6 1.434580-4820023547 1943 1.188630+6 1.178290-4 1.308290+6 9.809870-5 1.433160+6 8.278670-5820023547 1944 1.554920+6 7.142090-5 1.701190+6 6.104010-5 1.894980+6 5.055480-5820023547 1945 2.044000+6 4.436130-5 2.332190+6 3.594260-5 2.551640+6 3.113830-5820023547 1946 2.842410+6 2.621310-5 3.000000+6 2.405080-5 3.464100+6 1.945930-5820023547 1947 4.000000+6 1.574430-5 4.472140+6 1.347880-5 5.000000+6 1.153930-5820023547 1948 5.732660+6 9.610660-6 6.480740+6 8.183320-6 7.483310+6 6.806600-6820023547 1949 8.485280+6 5.815220-6 1.000000+7 4.754900-6 1.148910+7 4.028300-6820023547 1950 1.349070+7 3.335970-6 1.600000+7 2.741370-6 1.897370+7 2.262220-6820023547 1951 2.200000+7 1.918690-6 2.600000+7 1.597540-6 3.000000+7 1.368030-6820023547 1952 3.464100+7 1.173110-6 4.000000+7 1.005970-6 4.728710+7 8.432230-7820023547 1953 5.477230+7 7.228390-7 6.447420+7 6.100500-7 7.444840+7 5.256780-7820023547 1954 8.944271+7 4.350300-7 1.000000+8 3.878300-7 0.000000+0 0.000000+0820023547 1955 820023 0 1956 8.200000+4 2.054200+2 0 0 0 0820023548 1957 1.530400+2 6.880000-4 0 0 1 190820023548 1958 190 2 0 0 0 0820023548 1959 1.530400+2 0.000000+0 1.530400+2 1.063610+5 1.578860+2 1.577270+5820023548 1960 1.596920+2 1.787830+5 1.630600+2 2.122070+5 1.672760+2 2.450950+5820023548 1961 1.727330+2 2.703000+5 1.774380+2 2.779830+5 1.974510+2 2.612780+5820023548 1962 2.000000+2 2.611390+5 2.075840+2 2.744990+5 2.147960+2 3.020400+5820023548 1963 2.239560+2 3.578880+5 2.362870+2 4.737810+5 2.460530+2 6.045550+5820023548 1964 2.536410+2 7.258210+5 2.654650+2 9.548170+5 3.000000+2 1.779730+6820023548 1965 3.159160+2 2.040330+6 3.298840+2 2.164530+6 3.533890+2 2.205870+6820023548 1966 4.439300+2 1.912940+6 5.732660+2 1.359850+6 6.735370+2 1.016630+6820023548 1967 7.401540+2 8.336920+5 8.047430+2 6.914050+5 9.046800+2 5.276670+5820023548 1968 9.671600+2 4.468510+5 1.051990+3 3.589660+5 1.135080+3 2.927780+5820023548 1969 1.256170+3 2.219460+5 1.338330+3 1.848460+5 1.444050+3 1.484170+5820023548 1970 1.554920+3 1.189700+5 1.655920+3 9.789800+4 1.771420+3 7.944410+4820023548 1971 1.882240+3 6.582940+4 2.000000+3 5.454800+4 2.138240+3 4.371780+4820023548 1972 2.290820+3 3.479640+4 2.469720+3 2.712690+4 2.664700+3 2.100900+4820023548 1973 2.812200+3 1.738610+4 2.986100+3 1.408180+4 3.184360+3 1.123500+4820023548 1974 3.374030+3 9.168510+3 3.650750+3 6.920991+3 3.867440+3 5.585550+3820023548 1975 4.123920+3 4.399300+3 4.406240+3 3.439230+3 4.609730+3 2.907770+3820023548 1976 4.866370+3 2.377270+3 5.233180+3 1.801870+3 5.555800+3 1.429440+3820023548 1977 5.848120+3 1.172130+3 6.219690+3 9.192870+2 6.623670+3 7.148290+2820023548 1978 7.067790+3 5.514920+2 7.387540+3 4.620870+2 7.790400+3 3.737190+2820023548 1979 8.213621+3 3.012700+2 8.629661+3 2.454110+2 9.194600+3 1.886240+2820023548 1980 9.673331+3 1.527960+2 1.009310+4 1.280980+2 1.058210+4 1.052620+2820023548 1981 1.113230+4 8.529250+1 1.183040+4 6.626390+1 1.257860+4 5.099070+1820023548 1982 1.332930+4 3.952970+1 1.402280+4 3.163570+1 1.465920+4 2.603300+1820023548 1983 1.550080+4 2.037260+1 1.624220+4 1.659320+1 1.710960+4 1.320340+1820023548 1984 1.805270+4 1.043130+1 1.914100+4 8.066580+0 2.000000+4 6.652000+0820023548 1985 2.103980+4 5.288320+0 2.199390+4 4.326520+0 2.325560+4 3.361110+0820023548 1986 2.436700+4 2.720850+0 2.566740+4 2.150300+0 2.708120+4 1.686930+0820023548 1987 2.808950+4 1.429660+0 2.934910+4 1.172190+0 3.065690+4 9.602780-1820023548 1988 3.197090+4 7.909530-1 3.325390+4 6.594320-1 3.512470+4 5.120320-1820023548 1989 3.689430+4 4.079720-1 3.859630+4 3.312060-1 4.078460+4 2.566810-1820023548 1990 4.280090+4 2.053650-1 4.464680+4 1.689540-1 4.708200+4 1.321770-1820023548 1991 4.922200+4 1.076290-1 5.171990+4 8.561720-2 5.442860+4 6.762190-2820023548 1992 5.754560+4 5.227560-2 6.096550+4 4.002470-2 6.382870+4 3.235630-2820023548 1993 6.739490+4 2.514990-2 7.080250+4 2.001060-2 7.392520+4 1.638310-2820023548 1994 7.813529+4 1.267410-2 8.058260+4 1.098620-2 8.505129+4 8.554980-3820023548 1995 8.991940+4 6.609940-3 9.339729+4 5.543950-3 9.774879+4 4.489160-3820023548 1996 1.025670+5 3.602250-3 1.075580+5 2.905790-3 1.121240+5 2.407790-3820023548 1997 1.182690+5 1.891640-3 1.250440+5 1.470440-3 1.308640+5 1.197040-3820023548 1998 1.374000+5 9.602650-4 1.435620+5 7.874890-4 1.500000+5 6.458000-4820023548 1999 1.579580+5 5.142310-4 1.649420+5 4.249610-4 1.730830+5 3.436610-4820023548 2000 1.822530+5 2.737310-4 1.909200+5 2.230490-4 2.000000+5 1.817500-4820023548 2001 2.103980+5 1.471270-4 2.242480+5 1.127840-4 2.365370+5 9.028670-5820023548 2002 2.510180+5 7.047270-5 2.668810+5 5.458280-5 2.782670+5 4.585620-5820023548 2003 2.925730+5 3.720560-5 3.054430+5 3.121990-5 3.209250+5 2.569100-5820023548 2004 3.390920+5 2.067810-5 3.597000+5 1.638730-5 3.793150+5 1.329240-5820023548 2005 4.000000+5 1.078200-5 4.229490+5 8.766770-6 4.410200+5 7.506630-6820023548 2006 4.695850+5 5.947750-6 5.000000+5 4.712600-6 5.233180+5 3.998240-6820023548 2007 5.603490+5 3.124500-6 6.000000+5 2.441700-6 6.447420+5 1.943490-6820023548 2008 6.943790+5 1.535940-6 7.303960+5 1.308240-6 7.760910+5 1.079110-6820023548 2009 8.226280+5 8.980920-7 8.820400+5 7.219220-7 9.391700+5 5.931210-7820023548 2010 1.000000+6 4.873000-7 1.074770+6 4.227060-7 1.188630+6 3.471880-7820023548 2011 1.308290+6 2.890520-7 1.433160+6 2.439350-7 1.554920+6 2.104450-7820023548 2012 1.701190+6 1.798580-7 1.894980+6 1.489620-7 2.044000+6 1.307130-7820023548 2013 2.332190+6 1.059070-7 2.551640+6 9.175060-8 2.842410+6 7.723800-8820023548 2014 3.000000+6 7.086670-8 3.464100+6 5.733760-8 4.000000+6 4.639130-8820023548 2015 4.472140+6 3.971590-8 5.000000+6 3.400100-8 5.732660+6 2.831820-8820023548 2016 6.480740+6 2.411250-8 7.483310+6 2.005600-8 8.485280+6 1.713480-8820023548 2017 1.000000+7 1.401050-8 1.148910+7 1.186960-8 1.349070+7 9.829580-9820023548 2018 1.600000+7 8.077580-9 1.897370+7 6.665740-9 2.200000+7 5.653520-9820023548 2019 2.600000+7 4.707230-9 3.000000+7 4.030960-9 3.464100+7 3.456630-9820023548 2020 4.000000+7 2.964130-9 4.728710+7 2.484600-9 5.477230+7 2.129880-9820023548 2021 6.447420+7 1.797540-9 7.444840+7 1.548940-9 8.944271+7 1.281840-9820023548 2022 1.000000+8 1.142760-9 0.000000+0 0.000000+0 0.000000+0 0.000000+0820023548 2023 820023 0 2024 8.200000+4 2.054200+2 0 0 0 0820023549 2025 1.478100+2 1.128000-2 0 0 1 189820023549 2026 189 2 0 0 0 0820023549 2027 1.478100+2 0.000000+0 1.478100+2 1.390870+5 1.500240+2 1.739930+5820023549 2028 1.507700+2 1.874760+5 1.527300+2 2.130590+5 1.551060+2 2.293960+5820023549 2029 1.821680+2 3.235020+5 1.941770+2 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4.160460-1820027506 2828 2.343050+5 4.009070-1 2.679090+5 3.556190-1 3.480560+5 2.428270-1820027506 2829 3.841410+5 2.048340-1 4.500110+5 1.512700-1 4.869200+5 1.271790-1820027506 2830 5.075510+5 1.113580-1 5.882300+5 7.738740-2 6.486440+5 5.845780-2820027506 2831 7.181880+5 3.990430-2 7.254480+5 3.728590-2 7.337410+5 3.515960-2820027506 2832 8.047410+5 2.324910-2 8.128560+5 2.140370-2 8.270580+5 1.921480-2820027506 2833 8.590110+5 1.502740-2 8.696620+5 1.313420-2 9.493730+5 5.194340-3820027506 2834 9.788390+5 2.446510-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0820027506 2835 820027 0 2836 8200 0 0 2837 0 0 0 2838 8.300000+4 2.071850+2 -1 0 0 18300 1451 1 0.000000+0 0.000000+0 0 0 0 68300 1451 2 0.000000+0 0.000000+0 0 0 3 68300 1451 3 0.000000+0 0.000000+0 0 0 135 368300 1451 4 83-BI- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8300 1451 6 ----ENDF/B-VI MATERIAL 8300 8300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8300 1451 8 ------ENDF-6 FORMAT 8300 1451 9 =================================================================8300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8300 1451 11 ENDF/B-VI FORMAT 8300 1451 12 =================================================================8300 1451 13 CONTENTS 8300 1451 14 =================================================================8300 1451 15 MF/MT DESCRIPTION 8300 1451 16 =================================================================8300 1451 17 23/501 TOTAL CROSS SECTION 8300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8300 1451 48 =================================================================8300 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 8300 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 8300 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8300 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 8300 1451 53 =================================================================8300 1451 54 WARNING 8300 1451 55 =================================================================8300 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8300 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8300 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8300 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8300 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8300 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8300 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8300 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8300 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8300 1451 65 =================================================================8300 1451 66 DEFINITION OF NEW TYPES OF DATA 8300 1451 67 =================================================================8300 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8300 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8300 1451 70 8300 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8300 1451 72 C2 FIELDS ARE, 8300 1451 73 8300 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8300 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8300 1451 76 8300 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8300 1451 78 8300 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8300 1451 80 8300 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8300 1451 82 T = THE THOMSON CROSS SECTION 8300 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 8300 1451 84 FF(M) = THE ATOMIC FORM FACTOR 8300 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8300 1451 86 F1(E) = THE REAL SCATTERING FACTOR 8300 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 8300 1451 88 8300 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 8300 1451 90 8300 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8300 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8300 1451 93 =================================================================8300 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8300 1451 95 =================================================================8300 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8300 1451 97 HERE - 10 EV TO 100 MEV 8300 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8300 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 8300 1451 100 HERE - PHOTON INTERACTION 8300 1451 101 - AVERAGE FLUORESCENCE YIELD 8300 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8300 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8300 1451 104 HERE - NO SECONDARY ENERGY DATA 8300 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8300 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 8300 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 8300 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 8300 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8300 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8300 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 8300 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 8300 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 8300 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 8300 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8300 1451 116 =================================================================8300 1451 117 REFERENCES 8300 1451 118 =================================================================8300 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8300 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8300 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8300 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8300 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8300 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8300 1451 125 8300 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8300 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8300 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8300 1451 129 OF THE DATA, ETC. 8300 1451 130 =================================================================8300 1451 131 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8300 1451 132 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8300 1451 133 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8300 1451 134 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8300 1451 135 *RECONSTRUCTED MT NUMBERS 8300 1451 136 516 =+(515,515)+(517,517) 8300 1451 137 522 =+(534,572) 8300 1451 138 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8300 1451 139 1 451 175 18300 1451 140 23 501 554 18300 1451 141 23 502 91 18300 1451 142 23 504 25 18300 1451 143 23 515 17 18300 1451 144 23 516 36 18300 1451 145 23 517 23 18300 1451 146 23 522 433 18300 1451 147 23 534 26 18300 1451 148 23 535 31 18300 1451 149 23 536 35 18300 1451 150 23 537 36 18300 1451 151 23 538 36 18300 1451 152 23 539 38 18300 1451 153 23 540 40 18300 1451 154 23 541 48 18300 1451 155 23 542 49 18300 1451 156 23 543 39 18300 1451 157 23 544 42 18300 1451 158 23 545 44 18300 1451 159 23 546 52 18300 1451 160 23 547 53 18300 1451 161 23 548 66 18300 1451 162 23 549 66 18300 1451 163 23 550 43 18300 1451 164 23 551 49 18300 1451 165 23 552 51 18300 1451 166 23 553 66 18300 1451 167 23 554 67 18300 1451 168 23 559 52 18300 1451 169 23 560 58 18300 1451 170 23 561 59 18300 1451 171 27 502 49 18300 1451 172 27 504 47 18300 1451 173 27 505 73 18300 1451 174 27 506 125 18300 1451 175 8300 1 0 176 8300 0 0 177 8.300000+4 2.071850+2 0 0 0 0830023501 178 0.000000+0 0.000000+0 0 0 1 1653830023501 179 1653 2 0 0 0 0830023501 180 1.000000+1 3.295350+7 1.051990+1 2.931880+7 1.106680+1 2.602180+7830023501 181 1.121870+1 2.521640+7 1.149560+1 2.374840+7 1.218810+1 2.072230+7830023501 182 1.224740+1 2.046320+7 1.226310+1 2.040030+7 1.259670+1 1.906420+7830023501 183 1.340720+1 1.629210+7 1.355400+1 1.584810+7 1.394860+1 1.484020+7830023501 184 1.403670+1 1.461520+7 1.444910+1 1.356180+7 1.485960+1 1.263340+7830023501 185 1.500000+1 1.231580+7 1.560320+1 1.103220+7 1.566410+1 1.090260+7830023501 186 1.598880+1 1.029510+7 1.611850+1 1.005240+7 1.640000+1 9.588290+6830023501 187 1.648830+1 9.442710+6 1.665820+1 9.162590+6 1.698960+1 8.616210+6830023501 188 1.701190+1 8.584210+6 1.727680+1 8.253210+6 1.736890+1 8.138130+6830023501 189 1.741590+1 8.079400+6 1.744860+1 8.038540+6 1.749060+1 7.986060+6830023501 190 1.753020+1 7.936580+6 1.757950+1 7.874980+6 1.761750+1 7.827500+6830023501 191 1.768470+1 7.743540+6 1.769000+1 7.736920+6 1.769000+1 9.763790+6830023501 192 1.775210+1 9.659360+6 1.779910+1 9.580320+6 1.787730+1 9.448810+6830023501 193 1.794910+1 9.328060+6 1.824110+1 8.837000+6 1.844550+1 8.521970+6830023501 194 1.865950+1 8.228420+6 1.876880+1 8.089580+6 1.899830+1 7.798050+6830023501 195 1.941150+1 7.273170+6 1.955120+1 7.111400+6 2.000000+1 6.628020+6830023501 196 2.025830+1 6.379440+6 2.073370+1 5.921920+6 2.099090+1 5.690510+6830023501 197 2.175120+1 5.072580+6 2.177810+1 5.053320+6 2.191900+1 4.958820+6830023501 198 2.221910+1 4.757550+6 2.241120+1 4.628720+6 2.300330+1 4.268890+6830023501 199 2.347230+1 4.000950+6 2.374590+1 3.862280+6 2.410620+1 3.679660+6830023501 200 2.433900+1 3.573470+6 2.499160+1 3.291270+6 2.508960+1 3.248890+6830023501 201 2.529390+1 3.171060+6 2.598860+1 2.917890+6 2.618530+1 2.854010+6830023501 202 2.648930+1 2.755290+6 2.649830+1 2.752510+6 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8.689890+6 3.619530+1 8.730510+6 3.635630+1 9.056880+6830023501 216 3.702240+1 1.040720+7 3.706180+1 1.050060+7 3.746950+1 1.147080+7830023501 217 3.774540+1 1.216180+7 3.861830+1 1.474600+7 3.869850+1 1.498420+7830023501 218 3.878860+1 1.525180+7 3.885630+1 1.546640+7 3.898180+1 1.594230+7830023501 219 3.948490+1 1.785050+7 3.986830+1 1.937030+7 3.994270+1 1.966520+7830023501 220 4.000000+1 1.989280+7 4.073350+1 2.280710+7 4.081000+1 2.313210+7830023501 221 4.139270+1 2.566910+7 4.177090+1 2.731570+7 4.206250+1 2.858760+7830023501 222 4.299350+1 3.292230+7 4.305740+1 3.324080+7 4.308770+1 3.337280+7830023501 223 4.314830+1 3.363680+7 4.342610+1 3.484870+7 4.413780+1 3.795330+7830023501 224 4.469700+1 4.057850+7 4.472140+1 4.067260+7 4.530550+1 4.292570+7830023501 225 4.531480+1 4.296170+7 4.602650+1 4.571100+7 4.652310+1 4.772010+7830023501 226 4.693950+1 4.899330+7 4.770110+1 5.132480+7 4.823020+1 5.272220+7830023501 227 4.864280+1 5.342630+7 4.941740+1 5.475140+7 4.960930+1 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1.048610+1 4.395060+4 8.196140+0830023546 1861 4.602210+4 6.928710+0 4.863720+4 5.663740+0 5.221370+4 4.352440+0830023546 1862 5.542310+4 3.479560+0 5.854120+4 2.833550+0 6.246270+4 2.221630+0830023546 1863 6.624730+4 1.781600+0 6.974640+4 1.468690+0 7.450910+4 1.146270+0830023546 1864 7.730070+4 9.985040-1 8.243990+4 7.842570-1 8.809779+4 6.113480-1830023546 1865 9.217660+4 5.158660-1 9.732110+4 4.207600-1 1.025670+5 3.456010-1830023546 1866 1.099690+5 2.662270-1 1.162780+5 2.160450-1 1.218350+5 1.813960-1830023546 1867 1.283370+5 1.493080-1 1.356890+5 1.211990-1 1.450690+5 9.436200-2830023546 1868 1.527210+5 7.793200-2 1.604630+5 6.496880-2 1.695460+5 5.305370-2830023546 1869 1.798500+5 4.270130-2 1.896570+5 3.512320-2 2.000000+5 2.889000-2830023546 1870 2.151150+5 2.229630-2 2.286410+5 1.794990-2 2.447070+5 1.409910-2830023546 1871 2.624580+5 1.099120-2 2.752930+5 9.274850-3 2.915270+5 7.565230-3830023546 1872 3.000000+5 6.832500-3 3.223710+5 5.366390-3 3.471900+5 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2.078080+3 9.982070+4 2.286880+3 8.175370+4 2.492680+3 6.830700+4830023547 1901 2.822970+3 5.215610+4 3.106340+3 4.164010+4 3.385620+3 3.400140+4830023547 1902 3.690000+3 2.776400+4 3.981180+3 2.280230+4 4.214550+3 1.967220+4830023547 1903 4.590510+3 1.576390+4 5.000000+3 1.263200+4 5.415170+3 1.013290+4830023547 1904 5.798350+3 8.388220+3 6.219690+3 6.871770+3 6.623670+3 5.719020+3830023547 1905 7.085681+3 4.697620+3 7.682820+3 3.709760+3 8.226281+3 3.025800+3830023547 1906 8.820401+3 2.441970+3 9.391701+3 2.013490+3 1.025670+4 1.528890+3830023547 1907 1.099690+4 1.218910+3 1.182690+4 9.621250+2 1.255090+4 7.931000+2830023547 1908 1.337590+4 6.448100+2 1.416470+4 5.352110+2 1.500000+4 4.442400+2830023547 1909 1.611850+4 3.470930+2 1.735950+4 2.691070+2 1.825990+4 2.262400+2830023547 1910 1.940230+4 1.837140+2 2.051330+4 1.511610+2 2.199390+4 1.177190+2830023547 1911 2.286410+4 1.024180+2 2.447070+4 8.027110+1 2.624580+4 6.243590+1830023547 1912 2.752930+4 5.260550+1 2.915270+4 4.282990+1 3.097330+4 3.428530+1830023547 1913 3.288400+4 2.739140+1 3.465240+4 2.250650+1 3.706180+4 1.749160+1830023547 1914 3.847530+4 1.520100+1 4.107990+4 1.189030+1 4.395060+4 9.229560+0830023547 1915 4.602210+4 7.765560+0 4.863720+4 6.311940+0 5.221370+4 4.813360+0830023547 1916 5.542310+4 3.822360+0 5.854120+4 3.093630+0 6.246270+4 2.407950+0830023547 1917 6.624730+4 1.918300+0 6.974640+4 1.572280+0 7.450910+4 1.218050+0830023547 1918 7.730070+4 1.056650+0 8.243990+4 8.239510-1 8.809779+4 6.375220-1830023547 1919 9.217660+4 5.352250-1 9.732110+4 4.338960-1 1.025670+5 3.543640-1830023547 1920 1.075580+5 2.951370-1 1.143200+5 2.333960-1 1.218350+5 1.826730-1830023547 1921 1.283370+5 1.495430-1 1.356890+5 1.206840-1 1.426650+5 9.950530-2830023547 1922 1.500000+5 8.204300-2 1.554920+5 7.161410-2 1.655920+5 5.645110-2830023547 1923 1.766950+5 4.416900-2 1.846890+5 3.736520-2 1.947600+5 3.056930-2830023547 1924 2.038380+5 2.580570-2 2.147750+5 2.134390-2 2.276470+5 1.727680-2830023547 1925 2.422960+5 1.377500-2 2.562850+5 1.123470-2 2.710810+5 9.162810-3830023547 1926 2.851740+5 7.675200-3 3.000000+5 6.429100-3 3.223710+5 5.052500-3830023547 1927 3.471900+5 3.940870-3 3.651980+5 3.326700-3 3.880460+5 2.714690-3830023547 1928 4.113140+5 2.245790-3 4.410200+5 1.802420-3 4.695850+5 1.478750-3830023547 1929 5.000000+5 1.213200-3 5.415170+5 9.583850-4 5.798350+5 7.830230-4830023547 1930 6.000000+5 7.077700-4 6.447420+5 5.813720-4 6.804750+5 5.016200-4830023547 1931 7.378210+5 4.020290-4 8.000000+5 3.222100-4 8.458970+5 2.804470-4830023547 1932 9.197270+5 2.277280-4 1.000000+6 1.849200-4 1.074770+6 1.604150-4830023547 1933 1.188630+6 1.317610-4 1.308290+6 1.097030-4 1.433160+6 9.258540-5830023547 1934 1.554920+6 7.987120-5 1.701190+6 6.825040-5 1.894980+6 5.651490-5830023547 1935 2.044000+6 4.957130-5 2.332190+6 4.016500-5 2.551640+6 3.479700-5830023547 1936 2.842410+6 2.929370-5 3.000000+6 2.687760-5 3.464100+6 2.174370-5830023547 1937 4.000000+6 1.759040-5 4.472140+6 1.505740-5 5.000000+6 1.288910-5830023547 1938 5.732660+6 1.073250-5 6.480740+6 9.136060-6 7.483310+6 7.596970-6830023547 1939 8.485280+6 6.490550-6 1.000000+7 5.308600-6 1.148910+7 4.494240-6830023547 1940 1.349070+7 3.722130-6 1.600000+7 3.059200-6 1.897370+7 2.523810-6830023547 1941 2.200000+7 2.140590-6 2.600000+7 1.782090-6 3.000000+7 1.525940-6830023547 1942 3.464100+7 1.308410-6 4.000000+7 1.121890-6 4.728710+7 9.405190-7830023547 1943 5.477230+7 8.062680-7 6.447420+7 6.803850-7 7.444840+7 5.861710-7830023547 1944 8.944271+7 4.852200-7 1.000000+8 4.327300-7 0.000000+0 0.000000+0830023547 1945 830023 0 1946 8.300000+4 2.071850+2 0 0 0 0830023548 1947 1.738700+2 7.974500-4 0 0 1 187830023548 1948 187 2 0 0 0 0830023548 1949 1.738700+2 0.000000+0 1.738700+2 1.433710+5 1.864780+2 1.390170+5830023548 1950 1.965300+2 1.444090+5 2.051330+2 1.599150+5 2.151150+2 1.936260+5830023548 1951 2.242480+2 2.413750+5 2.325560+2 3.044340+5 2.411720+2 3.839680+5830023548 1952 2.478430+2 4.630770+5 2.581960+2 6.133250+5 2.726770+2 8.832070+5830023548 1953 3.000000+2 1.485070+6 3.159160+2 1.766830+6 3.298840+2 1.935130+6830023548 1954 3.533890+2 2.068370+6 4.000000+2 2.037690+6 4.494200+2 1.923090+6830023548 1955 5.233180+2 1.623370+6 6.480740+2 1.156540+6 7.555090+2 8.527540+5830023548 1956 8.580960+2 6.411880+5 9.263350+2 5.334650+5 1.025660+3 4.149780+5830023548 1957 1.092750+3 3.507700+5 1.179060+3 2.866940+5 1.288410+3 2.242550+5830023548 1958 1.390190+3 1.804800+5 1.500000+3 1.452500+5 1.611850+3 1.164510+5830023548 1959 1.735950+3 9.271940+4 1.882240+3 7.231040+4 2.038670+3 5.633250+4830023548 1960 2.148900+3 4.734050+4 2.278690+3 3.900530+4 2.426450+3 3.169610+4830023548 1961 2.567620+3 2.629670+4 2.770840+3 2.036130+4 2.924450+3 1.683980+4830023548 1962 3.105550+3 1.363000+4 3.312060+3 1.086670+4 3.509640+3 8.862090+3830023548 1963 3.788440+3 6.748110+3 3.986150+3 5.587890+3 4.218500+3 4.529010+3830023548 1964 4.482490+3 3.616110+3 4.734180+3 2.952940+3 5.000000+3 2.411400+3830023548 1965 5.323390+3 1.894290+3 5.555800+3 1.606860+3 5.848120+3 1.318900+3830023548 1966 6.219690+3 1.035550+3 6.623670+3 8.061020+2 7.067790+3 6.226000+2830023548 1967 7.387540+3 5.220620+2 7.790400+3 4.226090+2 8.226281+3 3.390640+2830023548 1968 8.637790+3 2.774560+2 9.101571+3 2.238130+2 9.540210+3 1.844620+2830023548 1969 1.000000+4 1.520300+2 1.051990+4 1.225490+2 1.099690+4 1.014840+2830023548 1970 1.162780+4 8.004990+1 1.218350+4 6.563350+1 1.283370+4 5.261270+1830023548 1971 1.356890+4 4.151410+1 1.426650+4 3.354210+1 1.500000+4 2.710100+1830023548 1972 1.579580+4 2.158530+1 1.649420+4 1.784200+1 1.730830+4 1.443210+1830023548 1973 1.822530+4 1.149840+1 1.909200+4 9.371620+0 2.000000+4 7.638200+0830023548 1974 2.103980+4 6.076420+0 2.199390+4 4.974180+0 2.325560+4 3.867100+0830023548 1975 2.436700+4 3.132390+0 2.566740+4 2.477240+0 2.708120+4 1.944800+0830023548 1976 2.808950+4 1.649000+0 2.934910+4 1.352800+0 3.065690+4 1.108870+0830023548 1977 3.197090+4 9.138260-1 3.325390+4 7.622520-1 3.512470+4 5.922790-1830023548 1978 3.689430+4 4.722040-1 3.859630+4 3.835700-1 4.078460+4 2.974700-1830023548 1979 4.280090+4 2.381440-1 4.464680+4 1.960260-1 4.708200+4 1.534600-1830023548 1980 4.922200+4 1.250290-1 5.171990+4 9.952090-2 5.442860+4 7.865410-2830023548 1981 5.754560+4 6.084690-2 6.096550+4 4.662040-2 6.382870+4 3.770790-2830023548 1982 6.739490+4 2.932770-2 7.080250+4 2.334780-2 7.392520+4 1.912470-2830023548 1983 7.813529+4 1.480440-2 8.058260+4 1.283720-2 8.505129+4 1.000250-2830023548 1984 8.991940+4 7.733240-3 9.339729+4 6.488890-3 9.774879+4 5.257040-3830023548 1985 1.025670+5 4.220700-3 1.075580+5 3.406480-3 1.121240+5 2.823980-3830023548 1986 1.182690+5 2.219950-3 1.250440+5 1.726720-3 1.308640+5 1.406390-3830023548 1987 1.374000+5 1.128820-3 1.435620+5 9.261680-4 1.500000+5 7.599000-4830023548 1988 1.579580+5 6.053430-4 1.649420+5 5.004350-4 1.730830+5 4.048570-4830023548 1989 1.822530+5 3.226130-4 1.909200+5 2.629800-4 2.000000+5 2.143700-4830023548 1990 2.112330+5 1.699590-4 2.211170+5 1.399470-4 2.326710+5 1.127180-4830023548 1991 2.457200+5 8.939410-5 2.580890+5 7.255950-5 2.710810+5 5.889520-5830023548 1992 2.851740+5 4.794760-5 3.000000+5 3.903500-5 3.109840+5 3.395850-5830023548 1993 3.311840+5 2.661120-5 3.533890+5 2.069530-5 3.693770+5 1.743500-5830023548 1994 3.895200+5 1.419330-5 4.113140+5 1.152810-5 4.318900+5 9.590860-6830023548 1995 4.550780+5 7.875010-6 4.845540+5 6.216170-6 5.115260+5 5.095400-6830023548 1996 5.415170+5 4.166050-6 5.798350+5 3.271750-6 6.164020+5 2.647380-6830023548 1997 6.593970+5 2.109040-6 7.006500+5 1.718810-6 7.444840+5 1.400780-6830023548 1998 8.000000+5 1.115700-6 8.637790+5 8.914830-7 9.391700+5 6.979440-7830023548 1999 1.000000+6 5.809000-7 1.074770+6 5.039220-7 1.188630+6 4.139110-7830023548 2000 1.308290+6 3.446190-7 1.433160+6 2.908450-7 1.554920+6 2.509040-7830023548 2001 1.701190+6 2.143990-7 1.894980+6 1.775340-7 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2.075130+4-2.336260+0 2.105750+4-2.102470+0830027506 2791 2.219080+4-1.451290+0 2.242480+4-1.331940+0 2.279110+4-1.175110+0830027506 2792 2.307000+4-1.081010+0 2.325560+4-1.025750+0 2.390720+4-8.013760-1830027506 2793 2.476280+4-5.788010-1 2.513280+4-4.952260-1 2.538270+4-4.494390-1830027506 2794 2.621190+4-2.715390-1 2.681450+4-1.900210-1 2.702210+4-1.654100-1830027506 2795 2.752930+4-1.244810-1 2.785590+4-9.073680-2 2.804210+4-7.045750-2830027506 2796 2.824560+4-5.119860-2 2.886410+4 1.035290-2 2.924500+4 3.757620-2830027506 2797 3.000000+4 7.558840-2 3.065690+4 1.056740-1 3.136790+4 1.350570-1830027506 2798 3.236170+4 1.543200-1 3.465240+4 1.382760-1 3.555870+4 1.267940-1830027506 2799 3.664310+4 1.073260-1 3.743310+4 7.525580-2 3.757310+4 6.953300-2830027506 2800 3.815510+4 5.435690-2 3.868860+4 3.764590-2 3.975620+4 6.230930-3830027506 2801 3.994270+4 9.332590-4 4.000000+4-6.675450-4 4.033750+4-9.954050-3830027506 2802 4.055810+4-1.718550-2 4.130440+4-4.779490-2 4.182870+4-7.577890-2830027506 2803 4.306360+4-1.276790-1 4.486890+4-2.002300-1 4.586490+4-2.438610-1830027506 2804 4.629150+4-2.657320-1 4.865140+4-3.642850-1 4.962080+4-4.065640-1830027506 2805 5.152530+4-4.953930-1 5.367210+4-6.001970-1 5.582270+4-7.098080-1830027506 2806 5.961170+4-8.959890-1 6.506560+4-1.206410+0 6.763120+4-1.356620+0830027506 2807 7.206800+4-1.648320+0 7.736310+4-2.096420+0 7.876150+4-2.226130+0830027506 2808 8.285350+4-2.756080+0 8.501650+4-3.174510+0 8.735520+4-3.882320+0830027506 2809 8.822010+4-4.306410+0 8.884529+4-4.756790+0 8.917660+4-5.083750+0830027506 2810 8.941890+4-5.372350+0 8.958740+4-5.596550+0 8.973779+4-5.807070+0830027506 2811 8.992879+4-6.080000+0 9.008779+4-6.297150+0 9.026220+4-6.510870+0830027506 2812 9.045810+4-6.698520+0 9.082479+4-6.820410+0 9.119160+4-6.636120+0830027506 2813 9.157620+4-6.182110+0 9.181300+4-5.806520+0 9.225040+4-5.172800+0830027506 2814 9.264729+4-4.661390+0 9.340060+4-4.000760+0 9.484200+4-3.236820+0830027506 2815 9.612240+4-2.767620+0 9.821210+4-2.194420+0 1.000000+5-1.827920+0830027506 2816 1.022680+5-1.455610+0 1.047010+5-1.172080+0 1.090990+5-7.837870-1830027506 2817 1.112980+5-6.226150-1 1.134970+5-5.016150-1 1.197440+5-2.195260-1830027506 2818 1.223840+5-1.437500-1 1.272940+5 1.104130-3 1.275010+5 7.225670-3830027506 2819 1.299540+5 6.624770-2 1.317570+5 1.110220-1 1.421950+5 2.588860-1830027506 2820 1.452340+5 2.767830-1 1.520500+5 3.422400-1 1.545460+5 3.601650-1830027506 2821 1.557640+5 3.612200-1 1.563620+5 3.599460-1 1.662260+5 4.096560-1830027506 2822 1.695460+5 4.191490-1 1.723530+5 4.144130-1 1.831610+5 4.412260-1830027506 2823 1.988110+5 4.348320-1 2.015540+5 4.257460-1 2.088550+5 4.254750-1830027506 2824 2.151150+5 4.276550-1 3.354710+5 2.659350-1 3.480200+5 2.458000-1830027506 2825 3.841410+5 2.076970-1 4.550780+5 1.501730-1 5.277580+5 1.041750-1830027506 2826 5.798350+5 8.297950-2 6.331050+5 6.384400-2 6.804750+5 4.866350-2830027506 2827 6.859390+5 4.625750-2 6.961840+5 4.329900-2 7.682820+5 3.012190-2830027506 2828 8.052980+5 2.250420-2 8.556790+5 1.554020-2 8.973840+5 1.052350-2830027506 2829 9.493730+5 5.045050-3 9.810380+5 1.861830-3 1.000000+6 0.000000+0830027506 2830 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0830027506 2831 830027 0 2832 8300 0 0 2833 0 0 0 2834 8.400000+4 2.072050+2 -1 0 0 18400 1451 1 0.000000+0 0.000000+0 0 0 0 68400 1451 2 0.000000+0 0.000000+0 0 0 3 68400 1451 3 0.000000+0 0.000000+0 0 0 135 368400 1451 4 84-PO- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8400 1451 6 ----ENDF/B-VI MATERIAL 8400 8400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8400 1451 8 ------ENDF-6 FORMAT 8400 1451 9 =================================================================8400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8400 1451 11 ENDF/B-VI FORMAT 8400 1451 12 =================================================================8400 1451 13 CONTENTS 8400 1451 14 =================================================================8400 1451 15 MF/MT DESCRIPTION 8400 1451 16 =================================================================8400 1451 17 23/501 TOTAL CROSS SECTION 8400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8400 1451 48 =================================================================8400 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 8400 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 8400 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8400 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 8400 1451 53 =================================================================8400 1451 54 WARNING 8400 1451 55 =================================================================8400 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8400 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8400 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8400 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8400 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8400 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8400 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8400 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8400 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8400 1451 65 =================================================================8400 1451 66 DEFINITION OF NEW TYPES OF DATA 8400 1451 67 =================================================================8400 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8400 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8400 1451 70 8400 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8400 1451 72 C2 FIELDS ARE, 8400 1451 73 8400 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8400 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8400 1451 76 8400 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8400 1451 78 8400 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8400 1451 80 8400 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8400 1451 82 T = THE THOMSON CROSS SECTION 8400 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 8400 1451 84 FF(M) = THE ATOMIC FORM FACTOR 8400 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8400 1451 86 F1(E) = THE REAL SCATTERING FACTOR 8400 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 8400 1451 88 8400 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 8400 1451 90 8400 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8400 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8400 1451 93 =================================================================8400 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8400 1451 95 =================================================================8400 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8400 1451 97 HERE - 10 EV TO 100 MEV 8400 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8400 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 8400 1451 100 HERE - PHOTON INTERACTION 8400 1451 101 - AVERAGE FLUORESCENCE YIELD 8400 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8400 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8400 1451 104 HERE - NO SECONDARY ENERGY DATA 8400 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8400 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 8400 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 8400 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 8400 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8400 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8400 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 8400 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 8400 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 8400 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 8400 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8400 1451 116 =================================================================8400 1451 117 REFERENCES 8400 1451 118 =================================================================8400 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8400 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8400 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8400 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8400 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8400 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8400 1451 125 8400 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8400 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8400 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8400 1451 129 OF THE DATA, ETC. 8400 1451 130 =================================================================8400 1451 131 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8400 1451 132 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8400 1451 133 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8400 1451 134 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8400 1451 135 *RECONSTRUCTED MT NUMBERS 8400 1451 136 516 =+(515,515)+(517,517) 8400 1451 137 522 =+(534,572) 8400 1451 138 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8400 1451 139 1 451 175 18400 1451 140 23 501 568 18400 1451 141 23 502 93 18400 1451 142 23 504 25 18400 1451 143 23 515 17 18400 1451 144 23 516 37 18400 1451 145 23 517 23 18400 1451 146 23 522 449 18400 1451 147 23 534 26 18400 1451 148 23 535 31 18400 1451 149 23 536 35 18400 1451 150 23 537 36 18400 1451 151 23 538 36 18400 1451 152 23 539 38 18400 1451 153 23 540 40 18400 1451 154 23 541 48 18400 1451 155 23 542 49 18400 1451 156 23 543 39 18400 1451 157 23 544 41 18400 1451 158 23 545 44 18400 1451 159 23 546 52 18400 1451 160 23 547 53 18400 1451 161 23 548 65 18400 1451 162 23 549 67 18400 1451 163 23 550 43 18400 1451 164 23 551 48 18400 1451 165 23 552 49 18400 1451 166 23 553 65 18400 1451 167 23 554 66 18400 1451 168 23 559 51 18400 1451 169 23 560 58 18400 1451 170 23 561 60 18400 1451 171 27 502 48 18400 1451 172 27 504 46 18400 1451 173 27 505 77 18400 1451 174 27 506 128 18400 1451 175 8400 1 0 176 8400 0 0 177 8.400000+4 2.072050+2 0 0 0 0840023501 178 0.000000+0 0.000000+0 0 0 1 1695840023501 179 1695 2 0 0 0 0840023501 180 1.000000+1 3.268440+7 1.009050+1 3.197480+7 1.013400+1 3.163370+7840023501 181 1.018690+1 3.121900+7 1.025000+1 3.072420+7 1.025000+1 5.595860+7840023501 182 1.028980+1 5.550360+7 1.034750+1 5.484390+7 1.036640+1 5.462780+7840023501 183 1.043870+1 5.380120+7 1.057790+1 5.220980+7 1.121510+1 4.605310+7840023501 184 1.150810+1 4.322210+7 1.154520+1 4.292330+7 1.154780+1 4.290510+7840023501 185 1.252000+1 3.607370+7 1.256910+1 3.577020+7 1.355010+1 2.970640+7840023501 186 1.396640+1 2.751120+7 1.407860+1 2.698550+7 1.429530+1 2.597020+7840023501 187 1.450020+1 2.501020+7 1.566410+1 2.026760+7 1.611850+1 1.865740+7840023501 188 1.688590+1 1.634830+7 1.694650+1 1.616600+7 1.707360+1 1.583640+7840023501 189 1.792550+1 1.362730+7 1.804990+1 1.334740+7 1.820060+1 1.300830+7840023501 190 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8.813279+4 6.723380+0 9.387910+4 5.544850+0 1.021900+5 4.275400+0840023545 1847 1.087560+5 3.523560+0 1.173610+5 2.781450+0 1.254480+5 2.261520+0840023545 1848 1.364150+5 1.743250+0 1.463280+5 1.402000+0 1.582170+5 1.099980+0840023545 1849 1.714900+5 8.565070-1 1.811730+5 7.221840-1 1.935160+5 5.885030-1840023545 1850 2.051330+5 4.919320-1 2.199390+5 3.981750-1 2.376880+5 3.146340-1840023545 1851 2.574930+5 2.467990-1 2.719340+5 2.091390-1 2.903370+5 1.714540-1840023545 1852 3.109840+5 1.398820-1 3.311840+5 1.165710-1 3.542840+5 9.588750-2840023545 1853 3.841410+5 7.585230-2 4.113140+5 6.245940-2 4.410200+5 5.151260-2840023545 1854 4.795120+5 4.087820-2 5.000000+5 3.641500-2 5.477230+5 2.863170-2840023545 1855 6.000000+5 2.251200-2 6.623670+5 1.761430-2 7.085680+5 1.490120-2840023545 1856 7.682820+5 1.219120-2 8.226280+5 1.034310-2 8.820400+5 8.813270-3840023545 1857 9.590240+5 7.273100-3 1.022000+6 6.324480-3 1.130270+6 5.194900-3840023545 1858 1.250000+6 4.267070-3 1.369310+6 3.600780-3 1.500000+6 3.038530-3840023545 1859 1.701190+6 2.438410-3 1.894980+6 2.019290-3 2.044000+6 1.770970-3840023545 1860 2.332190+6 1.434910-3 2.551640+6 1.243120-3 2.842410+6 1.046510-3840023545 1861 3.000000+6 9.601870-4 3.464100+6 7.765140-4 4.000000+6 6.279760-4840023545 1862 4.472140+6 5.374730-4 5.000000+6 4.600140-4 5.732660+6 3.829800-4840023545 1863 6.480740+6 3.260140-4 7.483310+6 2.711010-4 8.485280+6 2.315770-4840023545 1864 1.000000+7 1.892780-4 1.148910+7 1.603250-4 1.349070+7 1.327240-4840023545 1865 1.600000+7 1.090560-4 1.897370+7 8.997610-5 2.200000+7 7.630110-5840023545 1866 2.600000+7 6.352080-5 3.000000+7 5.438520-5 3.464100+7 4.663380-5840023545 1867 4.000000+7 3.998720-5 4.728710+7 3.351820-5 5.477230+7 2.873230-5840023545 1868 6.447420+7 2.424480-5 7.444840+7 2.088540-5 8.944271+7 1.728690-5840023545 1869 1.000000+8 1.541630-5 0.000000+0 0.000000+0 0.000000+0 0.000000+0840023545 1870 840023 0 1871 8.400000+4 2.072050+2 0 0 0 0840023546 1872 4.955600+2 9.803400-2 0 0 1 145840023546 1873 145 2 0 0 0 0840023546 1874 4.955600+2 0.000000+0 4.955600+2 5.751940+4 4.980190+2 7.167240+4840023546 1875 5.054700+2 1.246990+5 5.082130+2 1.386120+5 5.125760+2 1.504720+5840023546 1876 5.411160+2 1.707110+5 6.000000+2 2.051680+5 6.515100+2 2.198090+5840023546 1877 7.190600+2 2.275030+5 8.426100+2 2.246260+5 1.000000+3 2.034900+5840023546 1878 1.338340+3 1.473220+5 1.611850+3 1.122010+5 1.795470+3 9.369179+4840023546 1879 2.113110+3 7.034410+4 2.358900+3 5.686830+4 2.674310+3 4.382590+4840023546 1880 2.972530+3 3.477670+4 3.304000+3 2.759600+4 3.499880+3 2.404500+4840023546 1881 3.815690+3 1.955660+4 4.160000+3 1.590600+4 4.560700+3 1.258240+4840023546 1882 5.000000+3 9.953300+3 5.415170+3 8.039070+3 5.798350+3 6.694170+3840023546 1883 6.219690+3 5.517370+3 6.623670+3 4.617050+3 7.085681+3 3.814800+3840023546 1884 7.682820+3 3.033890+3 8.458970+3 2.290490+3 9.101571+3 1.840720+3840023546 1885 9.691081+3 1.526190+3 1.051990+4 1.184130+3 1.099690+4 1.029360+3840023546 1886 1.188440+4 8.055850+2 1.287460+4 6.256470+2 1.359670+4 5.265960+2840023546 1887 1.451680+4 4.282090+2 1.554920+4 3.425360+2 1.655920+4 2.777410+2840023546 1888 1.771420+4 2.218540+2 1.882240+4 1.812390+2 2.000000+4 1.480600+2840023546 1889 2.151150+4 1.148880+2 2.286410+4 9.291270+1 2.447070+4 7.334950+1840023546 1890 2.624580+4 5.747910+1 2.752930+4 4.867600+1 2.915270+4 3.987310+1840023546 1891 3.097330+4 3.213510+1 3.288400+4 2.585310+1 3.465240+4 2.137240+1840023546 1892 3.706180+4 1.674070+1 3.847530+4 1.461190+1 4.107990+4 1.151700+1840023546 1893 4.395060+4 9.010400+0 4.602210+4 7.621920+0 4.863720+4 6.235170+0840023546 1894 5.221370+4 4.795900+0 5.542310+4 3.836840+0 5.854120+4 3.126550+0840023546 1895 6.259340+4 2.434140+0 6.636860+4 1.955320+0 6.985820+4 1.614280+0840023546 1896 7.450910+4 1.268470+0 7.863900+4 1.036700+0 8.350810+4 8.280720-1840023546 1897 8.884529+4 6.568000-1 9.505740+4 5.100940-1 1.000000+5 4.220000-1840023546 1898 1.051990+5 3.492310-1 1.121240+5 2.752460-1 1.182690+5 2.255210-1840023546 1899 1.255090+5 1.806420-1 1.312290+5 1.529480-1 1.403010+5 1.191600-1840023546 1900 1.500000+5 9.283600-2 1.604630+5 7.247250-2 1.695460+5 5.920340-2840023546 1901 1.798500+5 4.767010-2 1.896570+5 3.922440-2 2.000000+5 3.227500-2840023546 1902 2.151150+5 2.492430-2 2.286410+5 2.007610-2 2.447070+5 1.577830-2840023546 1903 2.624580+5 1.230760-2 2.752930+5 1.039000-2 2.915270+5 8.478950-3840023546 1904 3.000000+5 7.659600-3 3.223710+5 6.017940-3 3.471900+5 4.692630-3840023546 1905 3.651980+5 3.960580-3 3.880460+5 3.231240-3 4.113140+5 2.668380-3840023546 1906 4.410200+5 2.132690-3 4.695850+5 1.743170-3 5.000000+5 1.424800-3840023546 1907 5.415170+5 1.115550-3 5.798350+5 9.044950-4 6.000000+5 8.144500-4840023546 1908 6.447420+5 6.627950-4 6.804750+5 5.678910-4 7.378210+5 4.503960-4840023546 1909 8.000000+5 3.572100-4 8.458970+5 3.086190-4 9.197270+5 2.478390-4840023546 1910 1.000000+6 1.990300-4 1.074770+6 1.726670-4 1.188630+6 1.418280-4840023546 1911 1.308290+6 1.180790-4 1.433160+6 9.964100-5 1.554920+6 8.595460-5840023546 1912 1.701190+6 7.345370-5 1.894980+6 6.082860-5 2.044000+6 5.334810-5840023546 1913 2.332190+6 4.322460-5 2.551640+6 3.744730-5 2.842410+6 3.152450-5840023546 1914 3.000000+6 2.892430-5 3.464100+6 2.339140-5 4.000000+6 1.891690-5840023546 1915 4.472140+6 1.619070-5 5.000000+6 1.385730-5 5.732660+6 1.153680-5840023546 1916 6.480740+6 9.820730-6 7.483310+6 8.166540-6 8.485280+6 6.975950-6840023546 1917 1.000000+7 5.701740-6 1.148910+7 4.829570-6 1.349070+7 3.998120-6840023546 1918 1.600000+7 3.285160-6 1.897370+7 2.710410-6 2.200000+7 2.298470-6840023546 1919 2.600000+7 1.913480-6 3.000000+7 1.638280-6 3.464100+7 1.404780-6840023546 1920 4.000000+7 1.204560-6 4.728710+7 1.009690-6 5.477230+7 8.655210-7840023546 1921 6.447420+7 7.303430-7 7.444840+7 6.291450-7 8.944271+7 5.207450-7840023546 1922 1.000000+8 4.643950-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0840023546 1923 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2.614280+3840023547 1938 9.391701+3 2.157780+3 1.025670+4 1.640790+3 1.099690+4 1.309540+3840023547 1939 1.182690+4 1.034840+3 1.255090+4 8.538310+2 1.337590+4 6.948760+2840023547 1940 1.416470+4 5.772830+2 1.500000+4 4.795900+2 1.611850+4 3.751190+2840023547 1941 1.735950+4 2.911610+2 1.825990+4 2.449670+2 1.940230+4 1.991040+2840023547 1942 2.051330+4 1.639570+2 2.199390+4 1.278090+2 2.286410+4 1.112580+2840023547 1943 2.447070+4 8.728230+1 2.624580+4 6.795610+1 2.752930+4 5.729500+1840023547 1944 2.915270+4 4.668550+1 3.097330+4 3.740180+1 3.288400+4 2.990370+1840023547 1945 3.465240+4 2.458690+1 3.706180+4 1.912460+1 3.847530+4 1.662790+1840023547 1946 4.107990+4 1.301720+1 4.395060+4 1.011280+1 4.602210+4 8.513650+0840023547 1947 4.863720+4 6.924800+0 5.221370+4 5.285020+0 5.542310+4 4.199600+0840023547 1948 5.854120+4 3.400950+0 6.246270+4 2.649000+0 6.624730+4 2.111670+0840023547 1949 6.974640+4 1.731730+0 7.450910+4 1.342530+0 7.730070+4 1.165100+0840023547 1950 8.243990+4 9.091440-1 8.809779+4 7.039410-1 9.217660+4 5.912740-1840023547 1951 9.732110+4 4.796140-1 1.025670+5 3.919020-1 1.075580+5 3.265330-1840023547 1952 1.143200+5 2.583590-1 1.218350+5 2.023210-1 1.283370+5 1.657010-1840023547 1953 1.356890+5 1.337880-1 1.426650+5 1.103570-1 1.500000+5 9.102900-2840023547 1954 1.554920+5 7.947580-2 1.655920+5 6.267300-2 1.766950+5 4.905730-2840023547 1955 1.846890+5 4.151200-2 1.947600+5 3.397330-2 2.038380+5 2.868670-2840023547 1956 2.147750+5 2.373270-2 2.276470+5 1.921590-2 2.422960+5 1.532580-2840023547 1957 2.562850+5 1.250290-2 2.710810+5 1.019990-2 2.851740+5 8.544820-3840023547 1958 3.000000+5 7.158300-3 3.223710+5 5.626770-3 3.471900+5 4.389770-3840023547 1959 3.651980+5 3.706210-3 3.880460+5 3.024930-3 4.113140+5 2.503340-3840023547 1960 4.410200+5 2.010490-3 4.695850+5 1.650460-3 5.000000+5 1.354900-3840023547 1961 5.415170+5 1.070520-3 5.798350+5 8.747790-4 6.000000+5 7.907700-4840023547 1962 6.447420+5 6.489910-4 6.804750+5 5.596030-4 7.378210+5 4.480660-4840023547 1963 8.000000+5 3.587600-4 8.458970+5 3.125940-4 9.197270+5 2.542400-4840023547 1964 1.000000+6 2.067800-4 1.074770+6 1.793900-4 1.188630+6 1.473500-4840023547 1965 1.308290+6 1.226760-4 1.433160+6 1.035210-4 1.554920+6 8.930160-5840023547 1966 1.701190+6 7.631400-5 1.894980+6 6.319720-5 2.044000+6 5.542540-5840023547 1967 2.332190+6 4.490770-5 2.551640+6 3.890550-5 2.842410+6 3.275210-5840023547 1968 3.000000+6 3.005060-5 3.464100+6 2.430230-5 4.000000+6 1.965350-5840023547 1969 4.472140+6 1.682110-5 5.000000+6 1.439690-5 5.732660+6 1.198600-5840023547 1970 6.480740+6 1.020310-5 7.483310+6 8.484530-6 8.485280+6 7.247590-6840023547 1971 1.000000+7 5.923750-6 1.148910+7 5.017630-6 1.349070+7 4.153800-6840023547 1972 1.600000+7 3.413080-6 1.897370+7 2.815950-6 2.200000+7 2.387970-6840023547 1973 2.600000+7 1.987990-6 3.000000+7 1.702070-6 3.464100+7 1.459480-6840023547 1974 4.000000+7 1.251460-6 4.728710+7 1.049000-6 5.477230+7 8.992240-7840023547 1975 6.447420+7 7.587820-7 7.444840+7 6.536440-7 8.944271+7 5.410230-7840023547 1976 1.000000+8 4.824780-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0840023547 1977 840023 0 1978 8.400000+4 2.072050+2 0 0 0 0840023548 1979 1.955000+2 9.608700-4 0 0 1 186840023548 1980 186 2 0 0 0 0840023548 1981 1.955000+2 0.000000+0 1.955000+2 1.348100+5 2.121390+2 1.867370+5840023548 1982 2.266780+2 2.550010+5 2.317430+2 2.829080+5 2.422140+2 3.592200+5840023548 1983 2.531590+2 4.561170+5 2.649650+2 5.926790+5 2.884380+2 9.301150+5840023548 1984 3.000000+2 1.123340+6 3.209250+2 1.428320+6 3.390920+2 1.646580+6840023548 1985 3.597000+2 1.828260+6 3.929820+2 1.973110+6 4.000000+2 1.987450+6840023548 1986 4.329430+2 1.973830+6 4.945700+2 1.799030+6 5.717030+2 1.487690+6840023548 1987 6.872450+2 1.093680+6 7.932530+2 8.135330+5 8.629100+2 6.769230+5840023548 1988 9.740040+2 5.093240+5 1.051990+3 4.183430+5 1.135080+3 3.428890+5840023548 1989 1.256170+3 2.615600+5 1.338330+3 2.185570+5 1.444050+3 1.761800+5840023548 1990 1.554920+3 1.417590+5 1.655920+3 1.170170+5 1.771420+3 9.527910+4840023548 1991 1.882240+3 7.919010+4 2.055780+3 6.022210+4 2.202130+3 4.822620+4840023548 1992 2.342730+3 3.948730+4 2.492310+3 3.233200+4 2.674310+3 2.536330+4840023548 1993 2.875930+3 1.974620+4 3.022040+3 1.664770+4 3.207200+3 1.356440+4840023548 1994 3.400530+3 1.104000+4 3.576300+3 9.210781+3 3.774710+3 7.585860+3840023548 1995 4.027390+3 6.009741+3 4.354870+3 4.499480+3 4.613000+3 3.619740+3840023548 1996 4.840770+3 3.017150+3 5.107680+3 2.463380+3 5.410010+3 1.982320+3840023548 1997 5.697370+3 1.630240+3 6.108860+3 1.248500+3 6.418500+3 1.026340+3840023548 1998 6.781840+3 8.251340+2 7.193991+3 6.531130+2 7.586300+3 5.291840+2840023548 1999 8.000000+3 4.287700+2 8.458970+3 3.412570+2 8.959880+3 2.696750+2840023548 2000 9.540210+3 2.085960+2 1.000000+4 1.720500+2 1.051990+4 1.388000+2840023548 2001 1.121240+4 1.059440+2 1.182690+4 8.450680+1 1.255090+4 6.569760+1840023548 2002 1.334400+4 5.067460+1 1.391330+4 4.245300+1 1.462870+4 3.432820+1840023548 2003 1.554920+4 2.636490+1 1.604630+4 2.296630+1 1.695460+4 1.803870+1840023548 2004 1.794520+4 1.406180+1 1.865360+4 1.186570+1 1.954080+4 9.678210+0840023548 2005 2.051330+4 7.798690+0 2.151150+4 6.297440+0 2.242480+4 5.222920+0840023548 2006 2.365370+4 4.108100+0 2.500880+4 3.197260+0 2.617280+4 2.605390+0840023548 2007 2.748010+4 2.092270+0 2.871240+4 1.717460+0 3.000000+4 1.409800+0840023548 2008 3.132820+4 1.155210+0 3.262680+4 9.584530-1 3.450340+4 7.411610-1840023548 2009 3.632000+4 5.854110-1 3.803280+4 4.736500-1 3.967540+4 3.899780-1840023548 2010 4.178060+4 3.074760-1 4.371410+4 2.497390-1 4.632710+4 1.912360-1840023548 2011 4.853080+4 1.544500-1 5.045550+4 1.291610-1 5.268890+4 1.058410-1840023548 2012 5.519170+4 8.550590-2 5.835240+4 6.619240-2 6.096550+4 5.410450-2840023548 2013 6.382870+4 4.378130-2 6.739490+4 3.406980-2 7.080250+4 2.713640-2840023548 2014 7.392520+4 2.223750-2 7.813529+4 1.722350-2 8.058260+4 1.493950-2840023548 2015 8.505129+4 1.164690-2 8.991940+4 9.009560-3 9.339729+4 7.562700-3840023548 2016 9.774879+4 6.129780-3 1.025670+5 4.923710-3 1.075580+5 3.975670-3840023548 2017 1.121240+5 3.297150-3 1.182690+5 2.593230-3 1.250440+5 2.018130-3840023548 2018 1.308640+5 1.644450-3 1.374000+5 1.320510-3 1.435620+5 1.083900-3840023548 2019 1.500000+5 8.896900-4 1.579580+5 7.091480-4 1.649420+5 5.865370-4840023548 2020 1.730830+5 4.747730-4 1.822530+5 3.785450-4 1.909200+5 3.087360-4840023548 2021 2.000000+5 2.518000-4 2.112330+5 1.997060-4 2.211170+5 1.644890-4840023548 2022 2.326710+5 1.325290-4 2.457200+5 1.051430-4 2.580890+5 8.537010-5840023548 2023 2.710810+5 6.931540-5 2.851740+5 5.639990-5 3.000000+5 4.589100-5840023548 2024 3.109840+5 3.990530-5 3.311840+5 3.124710-5 3.533890+5 2.428120-5840023548 2025 3.693770+5 2.044490-5 3.895200+5 1.663260-5 4.113140+5 1.352360-5840023548 2026 4.318900+5 1.127840-5 4.550780+5 9.284680-6 4.845540+5 7.351760-6840023548 2027 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2.548600-1 1.469540+5 2.740550-1840027506 2853 1.500000+5 2.912700-1 1.557640+5 3.414250-1 1.579580+5 3.549690-1840027506 2854 1.604630+5 3.593530-1 1.699800+5 4.113010-1 1.729510+5 4.182540-1840027506 2855 1.744650+5 4.144560-1 1.843440+5 4.339250-1 1.896570+5 4.272980-1840027506 2856 2.022560+5 4.456710-1 2.181020+5 4.201430-1 2.330270+5 4.131780-1840027506 2857 3.046240+5 3.038930-1 3.542840+5 2.445700-1 4.124800+5 1.857010-1840027506 2858 4.469810+5 1.565730-1 4.795120+5 1.350810-1 5.165930+5 1.141990-1840027506 2859 5.827990+5 8.622000-2 6.119980+5 7.175690-2 6.717990+5 5.255600-2840027506 2860 6.883050+5 4.869450-2 7.316310+5 4.024210-2 7.378210+5 3.827490-2840027506 2861 8.000000+5 2.486290-2 8.059020+5 2.315870-2 8.944270+5 1.093410-2840027506 2862 9.821160+5 1.807280-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0840027506 2863 840027 0 2864 8400 0 0 2865 0 0 0 2866 8.500000+4 2.081960+2 -1 0 0 18500 1451 1 0.000000+0 0.000000+0 0 0 0 68500 1451 2 0.000000+0 0.000000+0 0 0 3 68500 1451 3 0.000000+0 0.000000+0 0 0 135 368500 1451 4 85-AT- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8500 1451 6 ----ENDF/B-VI MATERIAL 8500 8500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8500 1451 8 ------ENDF-6 FORMAT 8500 1451 9 =================================================================8500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8500 1451 11 ENDF/B-VI FORMAT 8500 1451 12 =================================================================8500 1451 13 CONTENTS 8500 1451 14 =================================================================8500 1451 15 MF/MT DESCRIPTION 8500 1451 16 =================================================================8500 1451 17 23/501 TOTAL CROSS SECTION 8500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8500 1451 48 =================================================================8500 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 8500 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 8500 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8500 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 8500 1451 53 =================================================================8500 1451 54 WARNING 8500 1451 55 =================================================================8500 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8500 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8500 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8500 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8500 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8500 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8500 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8500 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8500 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8500 1451 65 =================================================================8500 1451 66 DEFINITION OF NEW TYPES OF DATA 8500 1451 67 =================================================================8500 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8500 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8500 1451 70 8500 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8500 1451 72 C2 FIELDS ARE, 8500 1451 73 8500 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8500 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8500 1451 76 8500 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8500 1451 78 8500 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8500 1451 80 8500 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8500 1451 82 T = THE THOMSON CROSS SECTION 8500 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 8500 1451 84 FF(M) = THE ATOMIC FORM FACTOR 8500 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8500 1451 86 F1(E) = THE REAL SCATTERING FACTOR 8500 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 8500 1451 88 8500 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 8500 1451 90 8500 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8500 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8500 1451 93 =================================================================8500 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8500 1451 95 =================================================================8500 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8500 1451 97 HERE - 10 EV TO 100 MEV 8500 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8500 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 8500 1451 100 HERE - PHOTON INTERACTION 8500 1451 101 - AVERAGE FLUORESCENCE YIELD 8500 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8500 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8500 1451 104 HERE - NO SECONDARY ENERGY DATA 8500 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8500 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 8500 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 8500 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 8500 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8500 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8500 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 8500 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 8500 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 8500 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 8500 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8500 1451 116 =================================================================8500 1451 117 REFERENCES 8500 1451 118 =================================================================8500 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8500 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8500 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8500 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8500 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8500 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8500 1451 125 8500 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8500 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8500 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8500 1451 129 OF THE DATA, ETC. 8500 1451 130 =================================================================8500 1451 131 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8500 1451 132 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8500 1451 133 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8500 1451 134 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8500 1451 135 *RECONSTRUCTED MT NUMBERS 8500 1451 136 516 =+(515,515)+(517,517) 8500 1451 137 522 =+(534,572) 8500 1451 138 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8500 1451 139 1 451 175 18500 1451 140 23 501 569 18500 1451 141 23 502 97 18500 1451 142 23 504 25 18500 1451 143 23 515 17 18500 1451 144 23 516 37 18500 1451 145 23 517 23 18500 1451 146 23 522 445 18500 1451 147 23 534 25 18500 1451 148 23 535 31 18500 1451 149 23 536 34 18500 1451 150 23 537 36 18500 1451 151 23 538 35 18500 1451 152 23 539 37 18500 1451 153 23 540 40 18500 1451 154 23 541 49 18500 1451 155 23 542 49 18500 1451 156 23 543 39 18500 1451 157 23 544 41 18500 1451 158 23 545 43 18500 1451 159 23 546 50 18500 1451 160 23 547 53 18500 1451 161 23 548 64 18500 1451 162 23 549 66 18500 1451 163 23 550 43 18500 1451 164 23 551 49 18500 1451 165 23 552 49 18500 1451 166 23 553 66 18500 1451 167 23 554 67 18500 1451 168 23 559 51 18500 1451 169 23 560 58 18500 1451 170 23 561 59 18500 1451 171 27 502 50 18500 1451 172 27 504 48 18500 1451 173 27 505 77 18500 1451 174 27 506 134 18500 1451 175 8500 1 0 176 8500 0 0 177 8.500000+4 2.081960+2 0 0 0 0850023501 178 0.000000+0 0.000000+0 0 0 1 1697850023501 179 1697 2 0 0 0 0850023501 180 1.000000+1 5.448220+7 1.067800+1 4.657660+7 1.090110+1 4.397520+7850023501 181 1.091400+1 4.386150+7 1.154780+1 3.827300+7 1.169320+1 3.699100+7850023501 182 1.173780+1 3.659770+7 1.176570+1 3.639210+7 1.182130+1 3.598230+7850023501 183 1.189720+1 3.542290+7 1.194000+1 3.510740+7 1.194000+1 6.601450+7850023501 184 1.196170+1 6.577900+7 1.199410+1 6.542730+7 1.204310+1 6.489550+7850023501 185 1.209060+1 6.438000+7 1.215940+1 6.363320+7 1.281650+1 5.650130+7850023501 186 1.283090+1 5.634500+7 1.357510+1 4.948080+7 1.387310+1 4.686740+7850023501 187 1.401400+1 4.584930+7 1.420180+1 4.449230+7 1.500000+1 3.872490+7850023501 188 1.625650+1 3.082510+7 1.662270+1 2.884430+7 1.701180+1 2.673970+7850023501 189 1.738860+1 2.496930+7 1.825990+1 2.141490+7 1.874250+1 1.970960+7850023501 190 1.892760+1 1.914540+7 1.940230+1 1.769860+7 2.007860+1 1.593180+7850023501 191 2.010840+1 1.585390+7 2.024920+1 1.548610+7 2.051820+1 1.486630+7850023501 192 2.103980+1 1.366450+7 2.134530+1 1.305250+7 2.137240+1 1.300390+7850023501 193 2.193920+1 1.198770+7 2.199390+1 1.188960+7 2.252100+1 1.106500+7850023501 194 2.266290+1 1.084300+7 2.269590+1 1.079140+7 2.273920+1 1.072360+7850023501 195 2.275070+1 1.070770+7 2.282220+1 1.060890+7 2.286620+1 1.054810+7850023501 196 2.291560+1 1.047990+7 2.300980+1 1.034970+7 2.301000+1 1.034940+7850023501 197 2.301000+1 1.150010+7 2.318940+1 1.122130+7 2.326910+1 1.109750+7850023501 198 2.341530+1 1.087040+7 2.344990+1 1.081660+7 2.376880+1 1.032110+7850023501 199 2.420130+1 9.745760+6 2.425300+1 9.684710+6 2.448600+1 9.409540+6850023501 200 2.460020+1 9.279520+6 2.574930+1 7.971160+6 2.576130+1 7.959200+6850023501 201 2.613090+1 7.601860+6 2.628900+1 7.466600+6 2.719340+1 6.692860+6850023501 202 2.720160+1 6.686630+6 2.799870+1 6.099850+6 2.856660+1 5.726240+6850023501 203 2.895140+1 5.479510+6 2.903370+1 5.426740+6 3.000000+1 4.886230+6850023501 204 3.065690+1 4.574510+6 3.117270+1 4.362060+6 3.194860+1 4.042490+6850023501 205 3.239120+1 3.864990+6 3.262680+1 3.780170+6 3.349720+1 3.508480+6850023501 206 3.371920+1 3.439180+6 3.380340+1 3.413400+6 3.453840+1 3.188320+6850023501 207 3.464100+1 3.159960+6 3.520840+1 3.007450+6 3.536620+1 2.970980+6850023501 208 3.648260+1 2.712950+6 3.709760+1 2.570800+6 3.722420+1 2.544230+6850023501 209 3.763430+1 2.460330+6 3.843130+1 2.321150+6 3.898440+1 2.224560+6850023501 210 3.914060+1 2.197280+6 3.965850+1 2.115850+6 4.000000+1 2.062150+6850023501 211 4.099410+1 1.911440+6 4.123990+1 1.879090+6 4.168150+1 1.820960+6850023501 212 4.241810+1 1.724010+6 4.288120+1 1.670280+6 4.299330+1 1.657500+6850023501 213 4.343360+1 1.613880+6 4.383440+1 1.574180+6 4.423880+1 1.534130+6850023501 214 4.449870+1 1.508390+6 4.506000+1 1.452790+6 4.506000+1 3.242590+6850023501 215 4.509500+1 3.259390+6 4.531080+1 3.362990+6 4.597000+1 3.679450+6850023501 216 4.603770+1 3.712970+6 4.654480+1 4.048740+6 4.672920+1 4.170840+6850023501 217 4.703660+1 4.378860+6 4.712680+1 4.470360+6 4.780000+1 5.153300+6850023501 218 4.781480+1 5.172270+6 4.804640+1 5.469110+6 4.857580+1 6.147650+6850023501 219 4.858710+1 6.167720+6 4.910000+1 7.078740+6 4.913530+1 7.164190+6850023501 220 4.920000+1 7.321180+6 4.920000+1 8.405310+6 4.959190+1 9.468210+6850023501 221 4.985000+1 1.016820+7 5.018000+1 1.131840+7 5.035000+1 1.193230+7850023501 222 5.068120+1 1.312840+7 5.074370+1 1.341430+7 5.075490+1 1.346760+7850023501 223 5.092210+1 1.426310+7 5.137170+1 1.640620+7 5.154710+1 1.724230+7850023501 224 5.165150+1 1.775880+7 5.205570+1 1.976050+7 5.207160+1 1.984310+7850023501 225 5.263660+1 2.306900+7 5.277610+1 2.386550+7 5.320090+1 2.642080+7850023501 226 5.378430+1 3.011390+7 5.395270+1 3.118000+7 5.399470+1 3.146750+7850023501 227 5.473900+1 3.656790+7 5.474430+1 3.660720+7 5.487080+1 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5.307460+1850023546 1886 2.915270+4 4.351450+1 3.097330+4 3.510060+1 3.288400+4 2.826210+1850023546 1887 3.465240+4 2.338080+1 3.706180+4 1.833080+1 3.847530+4 1.600800+1850023546 1888 4.107990+4 1.262880+1 4.395060+4 9.889340+0 4.602210+4 8.370720+0850023546 1889 4.863720+4 6.852940+0 5.221370+4 5.275820+0 5.542310+4 4.223820+0850023546 1890 5.854120+4 3.444160+0 6.259340+4 2.683580+0 6.636860+4 2.157210+0850023546 1891 6.985820+4 1.782060+0 7.450910+4 1.401400+0 7.863900+4 1.146090+0850023546 1892 8.350810+4 9.161080-1 8.884529+4 7.271700-1 9.505740+4 5.652060-1850023546 1893 1.000000+5 4.678800-1 1.051990+5 3.873930-1 1.121240+5 3.055140-1850023546 1894 1.182690+5 2.504520-1 1.255090+5 2.007290-1 1.312290+5 1.700300-1850023546 1895 1.403010+5 1.325550-1 1.500000+5 1.033400-1 1.604630+5 8.071780-2850023546 1896 1.695460+5 6.596930-2 1.798500+5 5.314410-2 1.896570+5 4.374790-2850023546 1897 2.000000+5 3.601300-2 2.151150+5 2.782480-2 2.286410+5 2.242180-2850023546 1898 2.447070+5 1.763010-2 2.624580+5 1.375860-2 2.752930+5 1.161870-2850023546 1899 2.915270+5 9.485420-3 3.000000+5 8.570500-3 3.223710+5 6.735270-3850023546 1900 3.471900+5 5.253320-3 3.651980+5 4.434560-3 3.880460+5 3.618690-3850023546 1901 4.113140+5 2.989040-3 4.410200+5 2.389770-3 4.695850+5 1.953880-3850023546 1902 5.000000+5 1.597500-3 5.415170+5 1.251800-3 5.798350+5 1.015690-3850023546 1903 6.000000+5 9.149000-4 6.447420+5 7.446540-4 6.804750+5 6.381020-4850023546 1904 7.378210+5 5.061660-4 8.000000+5 4.015100-4 8.458970+5 3.468800-4850023546 1905 9.197270+5 2.785500-4 1.000000+6 2.236800-4 1.074770+6 1.940660-4850023546 1906 1.188630+6 1.594230-4 1.308290+6 1.327290-4 1.433160+6 1.119940-4850023546 1907 1.554920+6 9.660420-5 1.701190+6 8.254880-5 1.894980+6 6.835480-5850023546 1908 2.044000+6 5.997200-5 2.332190+6 4.857830-5 2.551640+6 4.207770-5850023546 1909 2.842410+6 3.541460-5 3.000000+6 3.248990-5 3.464100+6 2.627170-5850023546 1910 4.000000+6 2.124360-5 4.472140+6 1.817980-5 5.000000+6 1.555790-5850023546 1911 5.732660+6 1.295160-5 6.480740+6 1.102300-5 7.483310+6 9.164570-6850023546 1912 8.485280+6 7.826630-6 1.000000+7 6.397210-6 1.148910+7 5.417450-6850023546 1913 1.349070+7 4.486080-6 1.600000+7 3.685650-6 1.897370+7 3.039550-6850023546 1914 2.200000+7 2.577210-6 2.600000+7 2.145430-6 3.000000+7 1.836720-6850023546 1915 3.464100+7 1.574830-6 4.000000+7 1.350290-6 4.728710+7 1.131870-6850023546 1916 5.477230+7 9.701280-7 6.447420+7 8.185800-7 7.444840+7 7.053020-7850023546 1917 8.944271+7 5.836520-7 1.000000+8 5.203270-7 0.000000+0 0.000000+0850023546 1918 850023 0 1919 8.500000+4 2.081960+2 0 0 0 0850023547 1920 4.992800+2 3.889200-2 0 0 1 150850023547 1921 150 2 0 0 0 0850023547 1922 4.992800+2 0.000000+0 4.992800+2 9.136290+4 5.009810+2 1.172460+5850023547 1923 5.032710+2 1.621930+5 5.071380+2 2.529090+5 5.092600+2 2.943840+5850023547 1924 5.125920+2 3.327650+5 5.151650+2 3.431270+5 5.260300+2 3.464360+5850023547 1925 5.454380+2 3.422810+5 7.000000+2 3.757610+5 8.000000+2 3.699440+5850023547 1926 9.673280+2 3.284410+5 1.242980+3 2.510730+5 1.431150+3 2.054620+5850023547 1927 1.611850+3 1.696370+5 1.795470+3 1.406820+5 2.062920+3 1.096370+5850023547 1928 2.229000+3 9.385500+4 2.446050+3 7.788540+4 2.754550+3 6.025060+4850023547 1929 3.028840+3 4.861630+4 3.285580+3 4.044950+4 3.627070+3 3.195750+4850023547 1930 3.957940+3 2.576100+4 4.319000+3 2.076600+4 4.688950+3 1.666790+4850023547 1931 5.103670+3 1.328700+4 5.407280+3 1.138410+4 5.795540+3 9.456800+3850023547 1932 6.219690+3 7.770380+3 6.623670+3 6.481100+3 7.085681+3 5.336140+3850023547 1933 7.682820+3 4.225920+3 8.458970+3 3.173840+3 9.101571+3 2.540240+3850023547 1934 9.691081+3 2.098840+3 1.033420+4 1.719670+3 1.094620+4 1.433980+3850023547 1935 1.164210+4 1.180340+3 1.253590+4 9.344600+2 1.336270+4 7.592430+2850023547 1936 1.438800+4 5.913880+2 1.499270+4 5.145800+2 1.611270+4 4.033840+2850023547 1937 1.735530+4 3.138200+2 1.825710+4 2.644460+2 1.940130+4 2.153400+2850023547 1938 2.103980+4 1.622400+2 2.242480+4 1.292990+2 2.365370+4 1.069310+2850023547 1939 2.510180+4 8.654450+1 2.675180+4 6.899410+1 2.832940+4 5.626350+1850023547 1940 3.000000+4 4.588200+1 3.197810+4 3.616950+1 3.381560+4 2.937350+1850023547 1941 3.627750+4 2.260820+1 3.847530+4 1.815990+1 4.107990+4 1.422810+1850023547 1942 4.395060+4 1.106290+1 4.602210+4 9.318810+0 4.863720+4 7.584920+0850023547 1943 5.221370+4 5.793500+0 5.542310+4 4.606590+0 5.854120+4 3.732730+0850023547 1944 6.246270+4 2.909430+0 6.624730+4 2.320740+0 6.974640+4 1.904220+0850023547 1945 7.450910+4 1.477300+0 7.730070+4 1.282560+0 8.243990+4 1.001490+0850023547 1946 8.809779+4 7.759950-1 9.217660+4 6.521110-1 9.732110+4 5.292700-1850023547 1947 1.025670+5 4.326950-1 1.075580+5 3.606680-1 1.143200+5 2.855150-1850023547 1948 1.218350+5 2.237090-1 1.283370+5 1.832990-1 1.356890+5 1.480660-1850023547 1949 1.426650+5 1.221860-1 1.500000+5 1.008300-1 1.554920+5 8.811270-2850023547 1950 1.655920+5 6.959430-2 1.766950+5 5.456410-2 1.846890+5 4.622340-2850023547 1951 1.947600+5 3.787980-2 2.038380+5 3.200170-2 2.147750+5 2.646380-2850023547 1952 2.276470+5 2.141680-2 2.422960+5 1.707230-2 2.562850+5 1.392120-2850023547 1953 2.710810+5 1.135170-2 2.851740+5 9.504930-3 3.000000+5 7.958600-3850023547 1954 3.223710+5 6.258510-3 3.471900+5 4.884760-3 3.651980+5 4.125350-3850023547 1955 3.880460+5 3.368240-3 4.113140+5 2.788270-3 4.410200+5 2.239950-3850023547 1956 4.695850+5 1.839290-3 5.000000+5 1.510300-3 5.415170+5 1.193130-3850023547 1957 5.798350+5 9.748540-4 6.000000+5 8.811800-4 6.447420+5 7.229120-4850023547 1958 6.804750+5 6.231620-4 7.378210+5 4.987400-4 8.000000+5 3.991600-4850023547 1959 8.458970+5 3.480270-4 9.197270+5 2.833420-4 1.000000+6 2.306800-4850023547 1960 1.074770+6 2.001400-4 1.188630+6 1.644130-4 1.308290+6 1.368830-4850023547 1961 1.433160+6 1.154990-4 1.554920+6 9.962700-5 1.701190+6 8.513190-5850023547 1962 1.894980+6 7.049380-5 2.044000+6 6.184880-5 2.332190+6 5.009850-5850023547 1963 2.551640+6 4.339450-5 2.842410+6 3.652300-5 3.000000+6 3.350670-5850023547 1964 3.464100+6 2.709390-5 4.000000+6 2.190850-5 4.472140+6 1.874880-5850023547 1965 5.000000+6 1.604480-5 5.732660+6 1.335690-5 6.480740+6 1.136800-5850023547 1966 7.483310+6 9.451350-6 8.485280+6 8.071560-6 1.000000+7 6.597410-6850023547 1967 1.148910+7 5.586990-6 1.349070+7 4.626470-6 1.600000+7 3.800990-6850023547 1968 1.897370+7 3.134670-6 2.200000+7 2.657860-6 2.600000+7 2.212570-6850023547 1969 3.000000+7 1.894200-6 3.464100+7 1.624110-6 4.000000+7 1.392540-6850023547 1970 4.728710+7 1.167290-6 5.477230+7 1.000490-6 6.447420+7 8.441970-7850023547 1971 7.444840+7 7.273740-7 8.944271+7 6.019180-7 1.000000+8 5.366110-7850023547 1972 850023 0 1973 8.500000+4 2.081960+2 0 0 0 0850023548 1974 2.179300+2 1.175200-3 0 0 1 182850023548 1975 182 2 0 0 0 0850023548 1976 2.179300+2 0.000000+0 2.179300+2 1.280460+5 2.290890+2 1.693740+5850023548 1977 2.411960+2 2.260070+5 2.551350+2 3.095890+5 2.742090+2 4.569130+5850023548 1978 2.911440+2 6.207720+5 3.152070+2 9.022100+5 3.542840+2 1.438040+6850023548 1979 3.764490+2 1.701930+6 4.000000+2 1.895330+6 4.225840+2 1.972330+6850023548 1980 4.588740+2 1.938520+6 5.679540+2 1.566180+6 6.735370+2 1.196320+6850023548 1981 7.737350+2 9.172360+5 8.458970+2 7.543580+5 9.197270+2 6.219240+5850023548 1982 1.039700+3 4.623880+5 1.113020+3 3.858750+5 1.197310+3 3.178900+5850023548 1983 1.306940+3 2.519250+5 1.431150+3 1.962720+5 1.554920+3 1.540730+5850023548 1984 1.655920+3 1.273770+5 1.771420+3 1.038850+5 1.920700+3 8.134020+4850023548 1985 2.084320+3 6.289200+4 2.240540+3 4.966720+4 2.413900+3 3.893500+4850023548 1986 2.539740+3 3.298000+4 2.699430+3 2.702370+4 2.930590+3 2.045900+4850023548 1987 3.136240+3 1.618160+4 3.323970+3 1.323470+4 3.523040+3 1.077870+4850023548 1988 3.707100+3 8.973340+3 3.914990+3 7.373210+3 4.179900+3 5.825040+3850023548 1989 4.500170+3 4.434540+3 4.664920+3 3.872450+3 4.967880+3 3.054750+3850023548 1990 5.300930+3 2.391920+3 5.540720+3 2.024500+3 5.842820+3 1.657310+3850023548 1991 6.219690+3 1.301170+3 6.623670+3 1.015100+3 7.067790+3 7.858070+2850023548 1992 7.387540+3 6.599370+2 7.790400+3 5.352120+2 8.246800+3 4.252690+2850023548 1993 8.730250+3 3.362890+2 9.176470+3 2.738450+2 9.782691+3 2.103890+2850023548 1994 1.029670+4 1.703680+2 1.074750+4 1.427880+2 1.127290+4 1.172960+2850023548 1995 1.186430+4 9.501070+1 1.261520+4 7.378360+1 1.336270+4 5.783020+1850023548 1996 1.405350+4 4.642140+1 1.468730+4 3.830110+1 1.554260+4 2.992570+1850023548 1997 1.604030+4 2.608390+1 1.694990+4 2.050900+1 1.794190+4 1.600500+1850023548 1998 1.865140+4 1.351540+1 1.954000+4 1.103370+1 2.051330+4 8.897930+0850023548 1999 2.151150+4 7.189690+0 2.242480+4 5.966280+0 2.365370+4 4.696180+0850023548 2000 2.500880+4 3.657700+0 2.617280+4 2.982430+0 2.748010+4 2.396630+0850023548 2001 2.871240+4 1.968470+0 3.000000+4 1.616800+0 3.132820+4 1.325520+0850023548 2002 3.262680+4 1.100290+0 3.450340+4 8.514080-1 3.632000+4 6.729030-1850023548 2003 3.803280+4 5.447390-1 3.967540+4 4.487350-1 4.178060+4 3.540220-1850023548 2004 4.371410+4 2.877000-1 4.632710+4 2.204580-1 4.853080+4 1.781490-1850023548 2005 5.045550+4 1.490500-1 5.268890+4 1.222010-1 5.519170+4 9.877800-2850023548 2006 5.835240+4 7.651760-2 6.096550+4 6.258190-2 6.382870+4 5.068060-2850023548 2007 6.739490+4 3.947510-2 7.080250+4 3.146800-2 7.392520+4 2.580610-2850023548 2008 7.813529+4 2.000630-2 8.058260+4 1.736230-2 8.505129+4 1.354810-2850023548 2009 8.991940+4 1.049020-2 9.339729+4 8.811200-3 9.774879+4 7.147240-3850023548 2010 1.025670+5 5.743030-3 1.075580+5 4.636990-3 1.121240+5 3.845430-3850023548 2011 1.182690+5 3.024270-3 1.250440+5 2.353440-3 1.308640+5 1.917580-3850023548 2012 1.374000+5 1.539750-3 1.435620+5 1.263800-3 1.500000+5 1.037300-3850023548 2013 1.579580+5 8.270180-4 1.649420+5 6.841760-4 1.730830+5 5.539400-4850023548 2014 1.822530+5 4.417810-4 1.909200+5 3.603940-4 2.000000+5 2.940000-4850023548 2015 2.112330+5 2.332410-4 2.211170+5 1.921570-4 2.326710+5 1.548620-4850023548 2016 2.457200+5 1.228970-4 2.580890+5 9.981050-5 2.710810+5 8.106100-5850023548 2017 2.851740+5 6.598320-5 3.000000+5 5.371000-5 3.109840+5 4.675140-5850023548 2018 3.311840+5 3.667240-5 3.533890+5 2.854880-5 3.693770+5 2.406800-5850023548 2019 3.895200+5 1.960930-5 4.102660+5 1.613520-5 4.398770+5 1.250910-5850023548 2020 4.572820+5 1.085600-5 4.894130+5 8.471310-6 5.249150+5 6.559390-6850023548 2021 5.505870+5 5.509620-6 5.830550+5 4.469230-6 6.000000+5 4.025200-6850023548 2022 6.461930+5 3.140560-6 6.797100+5 2.651680-6 7.222340+5 2.164390-6850023548 2023 7.444840+5 1.955440-6 8.000000+5 1.563100-6 8.637790+5 1.249040-6850023548 2024 9.391700+5 9.779400-7 1.000000+6 8.139800-7 1.074770+6 7.062140-7850023548 2025 1.188630+6 5.801460-7 1.308290+6 4.830050-7 1.433160+6 4.075490-7850023548 2026 1.554920+6 3.515450-7 1.701190+6 3.003970-7 1.894980+6 2.487450-7850023548 2027 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2.572810+4-7.398070-1 2.688090+4-4.576950-1 2.718520+4-3.887960-1850027506 2829 2.736220+4-3.660530-1 2.756450+4-3.467820-1 2.795830+4-2.939630-1850027506 2830 2.856660+4-2.074650-1 2.906760+4-1.464940-1 2.931810+4-1.187240-1850027506 2831 2.952830+4-9.999580-2 3.007030+4-5.930670-2 3.032570+4-3.672910-2850027506 2832 3.078640+4 2.534490-3 3.082290+4 4.769150-3 3.097330+4 1.301850-2850027506 2833 3.119910+4 2.632280-2 3.185620+4 5.053590-2 3.225500+4 6.152010-2850027506 2834 3.369370+4 1.184600-1 3.381560+4 1.199030-1 3.450340+4 1.172070-1850027506 2835 3.542840+4 1.084190-1 3.690910+4 9.796200-2 3.769480+4 9.117350-2850027506 2836 3.869780+4 7.041010-2 3.922760+4 6.066420-2 4.043700+4 4.657270-2850027506 2837 4.073620+4 3.887470-2 4.107990+4 2.809820-2 4.158360+4 1.347060-2850027506 2838 4.189380+4 3.927530-3 4.207960+4-4.092470-3 4.216810+4-7.876770-3850027506 2839 4.261950+4-2.897080-2 4.292830+4-4.239560-2 4.395060+4-7.649970-2850027506 2840 4.519860+4-1.165530-1 4.642690+4-1.597140-1 4.718510+4-1.900980-1850027506 2841 4.775100+4-2.189050-1 4.866460+4-2.551550-1 5.070750+4-3.288560-1850027506 2842 5.172570+4-3.745170-1 5.716500+4-6.235470-1 5.929100+4-7.314730-1850027506 2843 6.327360+4-9.122840-1 6.618710+4-1.072740+0 7.080250+4-1.301510+0850027506 2844 7.605240+4-1.621870+0 8.035390+4-1.964310+0 8.299329+4-2.170200+0850027506 2845 8.760929+4-2.730360+0 8.991940+4-3.147310+0 9.239079+4-3.848170+0850027506 2846 9.330560+4-4.268340+0 9.395300+4-4.702120+0 9.431720+4-5.036740+0850027506 2847 9.457340+4-5.321950+0 9.475170+4-5.543550+0 9.487120+4-5.698820+0850027506 2848 9.505740+4-5.947630+0 9.511270+4-6.021480+0 9.528090+4-6.236280+0850027506 2849 9.546540+4-6.447860+0 9.567250+4-6.634450+0 9.603770+4-6.755780+0850027506 2850 9.645510+4-6.549840+0 9.681310+4-6.175690+0 9.707590+4-5.789310+0850027506 2851 9.758120+4-5.108240+0 9.782210+4-4.782590+0 9.855250+4-4.118290+0850027506 2852 1.000000+5-3.348890+0 1.011200+5-2.928340+0 1.032170+5-2.348690+0850027506 2853 1.063630+5-1.740830+0 1.095090+5-1.326900+0 1.137850+5-9.226640-1850027506 2854 1.154800+5-7.863680-1 1.174700+5-6.589900-1 1.225090+5-4.150530-1850027506 2855 1.280210+5-2.026040-1 1.308640+5-1.075550-1 1.356890+5-4.569510-3850027506 2856 1.387920+5 6.195970-2 1.426650+5 1.302040-1 1.458630+5 1.580210-1850027506 2857 1.531900+5 2.583980-1 1.561360+5 2.930670-1 1.586330+5 3.132840-1850027506 2858 1.611640+5 3.197700-1 1.649430+5 3.386510-1 1.678940+5 3.425380-1850027506 2859 1.777870+5 3.900440-1 1.798500+5 3.951170-1 1.854970+5 3.939250-1850027506 2860 1.958500+5 4.161230-1 1.993200+5 4.161090-1 2.015540+5 4.078770-1850027506 2861 2.051330+5 4.076560-1 2.173570+5 4.177010-1 2.930620+5 3.264540-1850027506 2862 3.354780+5 2.709890-1 3.480270+5 2.505760-1 3.841410+5 2.128180-1850027506 2863 4.572820+5 1.526870-1 5.249150+5 1.091910-1 5.850130+5 8.359480-2850027506 2864 6.351200+5 6.540450-2 6.804750+5 5.038710-2 6.872730+5 4.744580-2850027506 2865 6.961850+5 4.477890-2 7.716600+5 3.044480-2 8.060920+5 2.312080-2850027506 2866 8.513410+5 1.669500-2 8.973840+5 1.084260-2 9.821160+5 1.846250-3850027506 2867 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0850027506 2868 850027 0 2869 8500 0 0 2870 0 0 0 2871 8.600000+4 2.201110+2 -1 0 0 18600 1451 1 0.000000+0 0.000000+0 0 0 0 68600 1451 2 0.000000+0 0.000000+0 0 0 3 68600 1451 3 0.000000+0 0.000000+0 0 0 135 368600 1451 4 86-RN- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8600 1451 6 ----ENDF/B-VI MATERIAL 8600 8600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8600 1451 8 ------ENDF-6 FORMAT 8600 1451 9 =================================================================8600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8600 1451 11 ENDF/B-VI FORMAT 8600 1451 12 =================================================================8600 1451 13 CONTENTS 8600 1451 14 =================================================================8600 1451 15 MF/MT DESCRIPTION 8600 1451 16 =================================================================8600 1451 17 23/501 TOTAL CROSS SECTION 8600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8600 1451 48 =================================================================8600 1451 49 27/502 COHERENT SCATTERING FORM FACTORS 8600 1451 50 27/504 INCOHERENT SCATTERING FUNCTIONS 8600 1451 51 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8600 1451 52 27/506 COHERENT REAL SCATTERING FACTOR 8600 1451 53 =================================================================8600 1451 54 WARNING 8600 1451 55 =================================================================8600 1451 56 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8600 1451 57 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8600 1451 58 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8600 1451 59 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8600 1451 60 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8600 1451 61 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8600 1451 62 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8600 1451 63 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8600 1451 64 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8600 1451 65 =================================================================8600 1451 66 DEFINITION OF NEW TYPES OF DATA 8600 1451 67 =================================================================8600 1451 68 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8600 1451 69 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8600 1451 70 8600 1451 71 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8600 1451 72 C2 FIELDS ARE, 8600 1451 73 8600 1451 74 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8600 1451 75 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8600 1451 76 8600 1451 77 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8600 1451 78 8600 1451 79 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8600 1451 80 8600 1451 81 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8600 1451 82 T = THE THOMSON CROSS SECTION 8600 1451 83 MU = THE COSINE OF THE SCATTERING ANGLE 8600 1451 84 FF(M) = THE ATOMIC FORM FACTOR 8600 1451 85 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8600 1451 86 F1(E) = THE REAL SCATTERING FACTOR 8600 1451 87 F2(E) = THE IMAGINARY SCATTERING FACTOR 8600 1451 88 8600 1451 89 F1(E) AND F2(E) ARE ISOTROPIC. 8600 1451 90 8600 1451 91 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8600 1451 92 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8600 1451 93 =================================================================8600 1451 94 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8600 1451 95 =================================================================8600 1451 96 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8600 1451 97 HERE - 10 EV TO 100 MEV 8600 1451 98 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8600 1451 99 - FLUORESCENCE AND ELECTRON SPECTRA 8600 1451 100 HERE - PHOTON INTERACTION 8600 1451 101 - AVERAGE FLUORESCENCE YIELD 8600 1451 102 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8600 1451 103 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8600 1451 104 HERE - NO SECONDARY ENERGY DATA 8600 1451 105 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8600 1451 106 INTERPOLABLE - SUMMATION CROSS SECTIONS 8600 1451 107 (E.G., TOTAL) ARE NOT INCLUDED 8600 1451 108 - FORM FACTORS ARE LOG X VS. LOG Y 8600 1451 109 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8600 1451 110 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8600 1451 111 ORDER TO ALLOW CROSS SECTIONS DEFINED 8600 1451 112 BY SUMMATION (E.G., TOTAL) TO BE 8600 1451 113 CONSISTENTLY DEFINED AT ALL ENERGIES. 8600 1451 114 - FORM FACTORS ARE LOG X VS. LOG Y 8600 1451 115 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8600 1451 116 =================================================================8600 1451 117 REFERENCES 8600 1451 118 =================================================================8600 1451 119 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8600 1451 120 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8600 1451 121 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8600 1451 122 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8600 1451 123 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8600 1451 124 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8600 1451 125 8600 1451 126 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8600 1451 127 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8600 1451 128 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8600 1451 129 OF THE DATA, ETC. 8600 1451 130 =================================================================8600 1451 131 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8600 1451 132 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8600 1451 133 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8600 1451 134 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8600 1451 135 *RECONSTRUCTED MT NUMBERS 8600 1451 136 516 =+(515,515)+(517,517) 8600 1451 137 522 =+(534,572) 8600 1451 138 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8600 1451 139 1 451 175 18600 1451 140 23 501 539 18600 1451 141 23 502 99 18600 1451 142 23 504 25 18600 1451 143 23 515 17 18600 1451 144 23 516 36 18600 1451 145 23 517 23 18600 1451 146 23 522 413 18600 1451 147 23 534 25 18600 1451 148 23 535 31 18600 1451 149 23 536 34 18600 1451 150 23 537 36 18600 1451 151 23 538 35 18600 1451 152 23 539 37 18600 1451 153 23 540 40 18600 1451 154 23 541 47 18600 1451 155 23 542 49 18600 1451 156 23 543 38 18600 1451 157 23 544 40 18600 1451 158 23 545 44 18600 1451 159 23 546 51 18600 1451 160 23 547 53 18600 1451 161 23 548 64 18600 1451 162 23 549 65 18600 1451 163 23 550 42 18600 1451 164 23 551 48 18600 1451 165 23 552 49 18600 1451 166 23 553 66 18600 1451 167 23 554 68 18600 1451 168 23 559 51 18600 1451 169 23 560 58 18600 1451 170 23 561 60 18600 1451 171 27 502 48 18600 1451 172 27 504 46 18600 1451 173 27 505 81 18600 1451 174 27 506 138 18600 1451 175 8600 1 0 176 8600 0 0 177 8.600000+4 2.201110+2 0 0 0 0860023501 178 0.000000+0 0.000000+0 0 0 1 1606860023501 179 1606 2 0 0 0 0860023501 180 1.000000+1 8.016150+7 1.025660+1 7.631830+7 1.051980+1 7.237630+7860023501 181 1.102370+1 6.482930+7 1.114940+1 6.347120+7 1.154780+1 5.916680+7860023501 182 1.181670+1 5.626160+7 1.265360+1 4.721950+7 1.294560+1 4.406470+7860023501 183 1.302480+1 4.320900+7 1.341580+1 4.011080+7 1.349010+1 3.952200+7860023501 184 1.353510+1 3.916550+7 1.357780+1 3.882710+7 1.368540+1 3.797450+7860023501 185 1.369000+1 3.793810+7 1.369000+1 7.366930+7 1.373740+1 7.316010+7860023501 186 1.381820+1 7.229230+7 1.390480+1 7.136210+7 1.397330+1 7.062630+7860023501 187 1.407860+1 6.949520+7 1.447070+1 6.528360+7 1.486440+1 6.174070+7860023501 188 1.500000+1 6.052050+7 1.553360+1 5.510590+7 1.658560+1 4.596730+7860023501 189 1.688590+1 4.369190+7 1.702870+1 4.260990+7 1.756450+1 3.855000+7860023501 190 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6.764630+1860023547 1876 2.915270+4 5.520820+1 3.097330+4 4.430010+1 3.288400+4 3.547180+1860023547 1877 3.465240+4 2.920300+1 3.706180+4 2.275310+1 3.847530+4 1.980110+1860023547 1878 4.107990+4 1.552660+1 4.395060+4 1.208260+1 4.602210+4 1.018360+1860023547 1879 4.863720+4 8.294470+0 5.221370+4 6.340550+0 5.542310+4 5.044760+0860023547 1880 5.854120+4 4.090160+0 6.246270+4 3.190220+0 6.624730+4 2.546310+0860023547 1881 6.974640+4 2.090450+0 7.450910+4 1.622910+0 7.730070+4 1.409530+0860023547 1882 8.243990+4 1.101390+0 8.809779+4 8.540030-1 9.217660+4 7.180110-1860023547 1883 9.732110+4 5.830920-1 1.025670+5 4.769370-1 1.075580+5 3.977060-1860023547 1884 1.143200+5 3.149990-1 1.218350+5 2.469440-1 1.283370+5 2.024270-1860023547 1885 1.356890+5 1.635950-1 1.426650+5 1.350590-1 1.500000+5 1.115000-1860023547 1886 1.554920+5 9.746080-2 1.655920+5 7.701070-2 1.766950+5 6.040550-2860023547 1887 1.846890+5 5.118720-2 1.947600+5 4.196270-2 2.038380+5 3.546120-2860023547 1888 2.147750+5 2.933310-2 2.276470+5 2.374650-2 2.422960+5 1.893600-2860023547 1889 2.562850+5 1.544570-2 2.710810+5 1.259870-2 2.851740+5 1.055200-2860023547 1890 3.000000+5 8.837800-3 3.223710+5 6.952350-3 3.471900+5 5.428290-3860023547 1891 3.651980+5 4.585520-3 3.880460+5 3.745060-3 4.113140+5 3.100920-3860023547 1892 4.410200+5 2.491620-3 4.695850+5 2.046320-3 5.000000+5 1.680600-3860023547 1893 5.415170+5 1.326700-3 5.798350+5 1.083310-3 6.000000+5 9.789100-4860023547 1894 6.447420+5 8.033010-4 6.804750+5 6.925960-4 7.378210+5 5.544760-4860023547 1895 8.000000+5 4.439000-4 8.458970+5 3.871500-4 9.197270+5 3.153340-4860023547 1896 1.000000+6 2.568400-4 1.074770+6 2.228610-4 1.188630+6 1.831000-4860023547 1897 1.308290+6 1.524470-4 1.433160+6 1.286240-4 1.554920+6 1.109440-4860023547 1898 1.701190+6 9.479880-5 1.894980+6 7.849520-5 2.044000+6 6.883340-5860023547 1899 2.332190+6 5.574890-5 2.551640+6 4.828440-5 2.842410+6 4.063420-5860023547 1900 3.000000+6 3.727640-5 3.464100+6 3.014280-5 4.000000+6 2.437430-5860023547 1901 4.472140+6 2.085670-5 5.000000+6 1.784680-5 5.732660+6 1.485430-5860023547 1902 6.480740+6 1.264080-5 7.483310+6 1.050680-5 8.485280+6 8.972550-6860023547 1903 1.000000+7 7.332250-6 1.148910+7 6.208330-6 1.349070+7 5.141120-6860023547 1904 1.600000+7 4.223110-6 1.897370+7 3.482480-6 2.200000+7 2.952850-6860023547 1905 2.600000+7 2.457720-6 3.000000+7 2.104240-6 3.464100+7 1.803990-6860023547 1906 4.000000+7 1.546590-6 4.728710+7 1.296420-6 5.477230+7 1.111240-6860023547 1907 6.447420+7 9.376820-7 7.444840+7 8.078580-7 8.944271+7 6.684530-7860023547 1908 1.000000+8 5.958910-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0860023547 1909 860023 0 1910 8.600000+4 2.201110+2 0 0 0 0860023548 1911 2.411600+2 1.442000-3 0 0 1 183860023548 1912 183 2 0 0 0 0860023548 1913 2.411600+2 0.000000+0 2.411600+2 1.252650+5 2.546890+2 1.575070+5860023548 1914 2.689760+2 1.980490+5 2.860100+2 2.680810+5 2.959340+2 3.203430+5860023548 1915 3.000000+2 3.460450+5 3.137930+2 4.604770+5 3.286810+2 6.182450+5860023548 1916 3.457300+2 8.526000+5 3.789950+2 1.439660+6 4.000000+2 1.761730+6860023548 1917 4.113140+2 1.878530+6 4.318900+2 1.982280+6 4.479940+2 1.988110+6860023548 1918 5.694310+2 1.610570+6 6.735370+2 1.254140+6 7.737350+2 9.695340+5860023548 1919 8.751140+2 7.438390+5 9.870430+2 5.652370+5 1.082000+3 4.518300+5860023548 1920 1.174070+3 3.657020+5 1.273970+3 2.959910+5 1.382370+3 2.346810+5860023548 1921 1.500000+3 1.860700+5 1.611850+3 1.499580+5 1.701190+3 1.275520+5860023548 1922 1.844550+3 1.000620+5 2.000000+3 7.849600+4 2.142360+3 6.291330+4860023548 1923 2.299790+3 5.007660+4 2.484760+3 3.904060+4 2.682430+3 3.039320+4860023548 1924 2.822670+3 2.551140+4 2.987500+3 2.099190+4 3.174790+3 1.703410+4860023548 1925 3.353370+3 1.411430+4 3.619150+3 1.081400+4 3.840070+3 8.718540+3860023548 1926 4.102010+3 6.859190+3 4.390870+3 5.356070+3 4.599390+3 4.524820+3860023548 1927 4.862730+3 3.695780+3 5.233180+3 2.809540+3 5.555800+3 2.238900+3860023548 1928 5.848120+3 1.842980+3 6.219690+3 1.451860+3 6.623670+3 1.133920+3860023548 1929 7.067790+3 8.787980+2 7.387540+3 7.386110+2 7.790400+3 5.995800+2860023548 1930 8.226281+3 4.823690+2 8.637790+3 3.956470+2 9.101571+3 3.199550+2860023548 1931 9.540210+3 2.642960+2 1.000000+4 2.183200+2 1.051990+4 1.764070+2860023548 1932 1.121240+4 1.349170+2 1.182690+4 1.077970+2 1.255090+4 8.395960+1860023548 1933 1.334400+4 6.488480+1 1.391330+4 5.442870+1 1.462870+4 4.408090+1860023548 1934 1.554920+4 3.392010+1 1.604630+4 2.957690+1 1.695460+4 2.327130+1860023548 1935 1.794520+4 1.817330+1 1.865360+4 1.535380+1 1.954080+4 1.254160+1860023548 1936 2.051330+4 1.012040+1 2.151150+4 8.182750+0 2.242480+4 6.794220+0860023548 1937 2.365370+4 5.351770+0 2.500880+4 4.171490+0 2.617280+4 3.403480+0860023548 1938 2.748010+4 2.736800+0 2.871240+4 2.249220+0 3.000000+4 1.848500+0860023548 1939 3.132820+4 1.516250+0 3.262680+4 1.259210+0 3.450340+4 9.750330-1860023548 1940 3.632000+4 7.710760-1 3.803280+4 6.245540-1 3.967540+4 5.147410-1860023548 1941 4.178060+4 4.063450-1 4.371410+4 3.303980-1 4.632710+4 2.533500-1860023548 1942 4.853080+4 2.048410-1 5.045550+4 1.714610-1 5.268890+4 1.406470-1860023548 1943 5.519170+4 1.137510-1 5.835240+4 8.817420-2 6.096550+4 7.215300-2860023548 1944 6.382870+4 5.846350-2 6.739490+4 4.556670-2 7.080250+4 3.634530-2860023548 1945 7.392520+4 2.982110-2 7.813529+4 2.313420-2 8.058260+4 2.008420-2860023548 1946 8.505129+4 1.568210-2 8.991940+4 1.215050-2 9.339729+4 1.021040-2860023548 1947 9.774879+4 8.286740-3 1.025670+5 6.662280-3 1.075580+5 5.381980-3860023548 1948 1.121240+5 4.465250-3 1.182690+5 3.513770-3 1.250440+5 2.736010-3860023548 1949 1.308640+5 2.230390-3 1.374000+5 1.791880-3 1.435620+5 1.471440-3860023548 1950 1.500000+5 1.208300-3 1.579580+5 9.637540-4 1.649420+5 7.975720-4860023548 1951 1.730830+5 6.460010-4 1.822530+5 5.154160-4 1.909200+5 4.206210-4860023548 1952 2.000000+5 3.432600-4 2.112330+5 2.724730-4 2.211170+5 2.245830-4860023548 1953 2.326710+5 1.810880-4 2.457200+5 1.437890-4 2.580890+5 1.168360-4860023548 1954 2.710810+5 9.493600-5 2.851740+5 7.737110-5 3.000000+5 6.305600-5860023548 1955 3.109840+5 5.489980-5 3.311840+5 4.308220-5 3.533890+5 3.355340-5860023548 1956 3.693770+5 2.829540-5 3.895200+5 2.306180-5 4.113140+5 1.874740-5860023548 1957 4.318900+5 1.560450-5 4.550780+5 1.281930-5 4.845540+5 1.012510-5860023548 1958 5.115260+5 8.299610-6 5.415170+5 6.780730-6 5.798350+5 5.320330-6860023548 1959 6.000000+5 4.712700-6 6.461930+5 3.698670-6 6.797100+5 3.135460-6860023548 1960 7.222340+5 2.571630-6 7.444840+5 2.328960-6 8.014780+5 1.870120-6860023548 1961 8.648260+5 1.491420-6 9.396570+5 1.165190-6 1.000000+6 9.682600-7860023548 1962 1.074770+6 8.401650-7 1.188630+6 6.902690-7 1.308290+6 5.747080-7860023548 1963 1.433160+6 4.848990-7 1.554920+6 4.182470-7 1.701190+6 3.573820-7860023548 1964 1.894980+6 2.959190-7 2.044000+6 2.594950-7 2.332190+6 2.101680-7860023548 1965 2.551640+6 1.820270-7 2.842410+6 1.531870-7 3.000000+6 1.405280-7860023548 1966 3.464100+6 1.136350-7 4.000000+6 9.188870-8 4.472140+6 7.862780-8860023548 1967 5.000000+6 6.728060-8 5.732660+6 5.599940-8 6.480740+6 4.765430-8860023548 1968 7.483310+6 3.960930-8 8.485280+6 3.382560-8 1.000000+7 2.764180-8860023548 1969 1.148910+7 2.340480-8 1.349070+7 1.938150-8 1.600000+7 1.592070-8860023548 1970 1.897370+7 1.312860-8 2.200000+7 1.113190-8 2.600000+7 9.265340-9860023548 1971 3.000000+7 7.932760-9 3.464100+7 6.800870-9 4.000000+7 5.830480-9860023548 1972 4.728710+7 4.887380-9 5.477230+7 4.189280-9 6.447420+7 3.534970-9860023548 1973 7.444840+7 3.045540-9 8.944271+7 2.520000-9 1.000000+8 2.246450-9860023548 1974 860023 0 1975 8.600000+4 2.201110+2 0 0 0 0860023549 1976 2.338700+2 5.750400-2 0 0 1 186860023549 1977 186 2 0 0 0 0860023549 1978 2.338700+2 0.000000+0 2.338700+2 1.943620+5 2.475110+2 1.541000+5860023549 1979 2.518740+2 1.506390+5 2.565430+2 1.551080+5 2.619480+2 1.696920+5860023549 1980 2.682780+2 1.998160+5 2.767750+2 2.656030+5 2.845480+2 3.574450+5860023549 1981 2.899730+2 4.376710+5 2.966200+2 5.580510+5 3.087350+2 8.198040+5860023549 1982 3.347340+2 1.456890+6 3.485790+2 1.769360+6 3.635390+2 2.053520+6860023549 1983 3.824670+2 2.318290+6 4.082780+2 2.525920+6 4.343440+2 2.602490+6860023549 1984 4.686900+2 2.565270+6 5.287600+2 2.335750+6 6.735370+2 1.641200+6860023549 1985 7.706940+2 1.263510+6 8.747040+2 9.647140+5 9.437330+2 8.043510+5860023549 1986 1.033800+3 6.466990+5 1.126870+3 5.212940+5 1.222260+3 4.212950+5860023549 1987 1.350330+3 3.192940+5 1.459070+3 2.551960+5 1.559220+3 2.106000+5860023549 1988 1.675000+3 1.699340+5 1.791520+3 1.381030+5 1.925380+3 1.105850+5860023549 1989 2.054380+3 9.053920+4 2.192030+3 7.412730+4 2.352720+3 5.858960+4860023549 1990 2.530780+3 4.596960+4 2.659860+3 3.896200+4 2.823460+3 3.194820+4860023549 1991 3.015660+3 2.548810+4 3.211820+3 2.042060+4 3.367270+3 1.729290+4860023549 1992 3.614660+3 1.347620+4 3.880230+3 1.050180+4 4.134140+3 8.309441+3860023549 1993 4.413410+3 6.526830+3 4.614550+3 5.536050+3 4.868070+3 4.543570+3860023549 1994 5.231530+3 3.453670+3 5.538030+3 2.769590+3 5.808320+3 2.302400+3860023549 1995 6.124880+3 1.874260+3 6.483221+3 1.503470+3 6.823610+3 1.232920+3860023549 1996 7.332010+3 9.294870+2 7.761260+3 7.375430+2 8.236250+3 5.793060+2860023549 1997 8.645640+3 4.756160+2 9.106880+3 3.850240+2 9.543000+3 3.183430+2860023549 1998 1.000000+4 2.632100+2 1.051990+4 2.122740+2 1.121240+4 1.619610+2860023549 1999 1.182690+4 1.291450+2 1.255090+4 1.003630+2 1.334400+4 7.738310+1860023549 2000 1.391330+4 6.481120+1 1.462870+4 5.239080+1 1.546990+4 4.108950+1860023549 2001 1.636150+4 3.206050+1 1.721480+4 2.559780+1 1.799790+4 2.102120+1860023549 2002 1.905520+4 1.632570+1 1.967060+4 1.418220+1 2.079580+4 1.108570+1860023549 2003 2.202370+4 8.598930+0 2.290210+4 7.231450+0 2.400270+4 5.874400+0860023549 2004 2.512420+4 4.779700+0 2.622840+4 3.920260+0 2.730770+4 3.255440+0860023549 2005 2.888330+4 2.513840+0 3.037550+4 1.993040+0 3.181250+4 1.610670+0860023549 2006 3.360290+4 1.251470+0 3.531430+4 9.953960-1 3.688320+4 8.147040-1860023549 2007 3.899910+4 6.300210-1 4.022940+4 5.459960-1 4.247670+4 4.250100-1860023549 2008 4.492570+4 3.282530-1 4.667590+4 2.752430-1 4.886650+4 2.228040-1860023549 2009 5.109490+4 1.812370-1 5.328480+4 1.490810-1 5.542310+4 1.241370-1860023549 2010 5.854120+4 9.622200-2 6.149050+4 7.654740-2 6.432710+4 6.205510-2860023549 2011 6.785730+4 4.839450-2 7.122740+4 3.862150-2 7.431320+4 3.170350-2860023549 2012 7.847000+4 2.460930-2 8.088460+4 2.137200-2 8.529029+4 1.669740-2860023549 2013 9.008510+4 1.294500-2 9.350790+4 1.088250-2 9.778740+4 8.836570-3860023549 2014 1.025670+5 7.089500-3 1.075580+5 5.702060-3 1.121240+5 4.712720-3860023549 2015 1.182690+5 3.690300-3 1.250440+5 2.858750-3 1.308640+5 2.320700-3860023549 2016 1.374000+5 1.856060-3 1.435620+5 1.517990-3 1.500000+5 1.241500-3860023549 2017 1.579580+5 9.881000-4 1.649420+5 8.162440-4 1.730830+5 6.597960-4860023549 2018 1.822530+5 5.252890-4 1.909200+5 4.278470-4 2.000000+5 3.484800-4860023549 2019 2.102130+5 2.821290-4 2.191610+5 2.364140-4 2.295740+5 1.941670-4860023549 2020 2.412810+5 1.572420-4 2.561210+5 1.220790-4 2.681040+5 1.009510-4860023549 2021 2.800750+5 8.478190-5 2.940360+5 6.980390-5 3.097680+5 5.667950-5860023549 2022 3.297620+5 4.414500-5 3.464780+5 3.640690-5 3.642370+5 3.021780-5860023549 2023 3.850880+5 2.455530-5 4.087540+5 1.966040-5 4.312940+5 1.609510-5860023549 2024 4.550780+5 1.317640-5 4.880070+5 1.036470-5 5.233180+5 8.153000-6860023549 2025 5.593420+5 6.573170-6 5.913910+5 5.488880-6 6.292480+5 4.490510-6860023549 2026 6.725030+5 3.621430-6 7.139690+5 2.984050-6 7.579910+5 2.458850-6860023549 2027 8.091580+5 2.050150-6 8.637790+5 1.709390-6 9.293970+5 1.430130-6860023549 2028 1.010940+6 1.170670-6 1.130270+6 9.410480-7 1.250000+6 7.731550-7860023549 2029 1.369310+6 6.523340-7 1.500000+6 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4.239490+5 1.831720-1 4.550780+5 1.555820-1 5.385080+5 1.075290-1860027506 2804 6.292820+5 6.759960-2 6.725030+5 5.518810-2 7.378210+5 3.850900-2860027506 2805 8.000000+5 2.526350-2 8.472200+5 1.741670-2 8.944270+5 1.117310-2860027506 2806 9.457420+5 5.600250-3 9.821160+5 1.819040-3 1.000000+6 0.000000+0860027506 2807 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0860027506 2808 860027 0 2809 8600 0 0 2810 0 0 0 2811 8.700000+4 2.210840+2 -1 0 0 18700 1451 1 0.000000+0 0.000000+0 0 0 0 68700 1451 2 0.000000+0 0.000000+0 0 0 3 68700 1451 3 0.000000+0 0.000000+0 0 0 136 378700 1451 4 87-FR- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8700 1451 6 ----ENDF/B-VI MATERIAL 8700 8700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8700 1451 8 ------ENDF-6 FORMAT 8700 1451 9 =================================================================8700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8700 1451 11 ENDF/B-VI FORMAT 8700 1451 12 =================================================================8700 1451 13 CONTENTS 8700 1451 14 =================================================================8700 1451 15 MF/MT DESCRIPTION 8700 1451 16 =================================================================8700 1451 17 23/501 TOTAL CROSS SECTION 8700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 48 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8700 1451 49 =================================================================8700 1451 50 27/502 COHERENT SCATTERING FORM FACTORS 8700 1451 51 27/504 INCOHERENT SCATTERING FUNCTIONS 8700 1451 52 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8700 1451 53 27/506 COHERENT REAL SCATTERING FACTOR 8700 1451 54 =================================================================8700 1451 55 WARNING 8700 1451 56 =================================================================8700 1451 57 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8700 1451 58 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8700 1451 59 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8700 1451 60 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8700 1451 61 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8700 1451 62 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8700 1451 63 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8700 1451 64 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8700 1451 65 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8700 1451 66 =================================================================8700 1451 67 DEFINITION OF NEW TYPES OF DATA 8700 1451 68 =================================================================8700 1451 69 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8700 1451 70 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8700 1451 71 8700 1451 72 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8700 1451 73 C2 FIELDS ARE, 8700 1451 74 8700 1451 75 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8700 1451 76 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8700 1451 77 8700 1451 78 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8700 1451 79 8700 1451 80 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8700 1451 81 8700 1451 82 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8700 1451 83 T = THE THOMSON CROSS SECTION 8700 1451 84 MU = THE COSINE OF THE SCATTERING ANGLE 8700 1451 85 FF(M) = THE ATOMIC FORM FACTOR 8700 1451 86 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8700 1451 87 F1(E) = THE REAL SCATTERING FACTOR 8700 1451 88 F2(E) = THE IMAGINARY SCATTERING FACTOR 8700 1451 89 8700 1451 90 F1(E) AND F2(E) ARE ISOTROPIC. 8700 1451 91 8700 1451 92 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8700 1451 93 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8700 1451 94 =================================================================8700 1451 95 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8700 1451 96 =================================================================8700 1451 97 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8700 1451 98 HERE - 10 EV TO 100 MEV 8700 1451 99 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8700 1451 100 - FLUORESCENCE AND ELECTRON SPECTRA 8700 1451 101 HERE - PHOTON INTERACTION 8700 1451 102 - AVERAGE FLUORESCENCE YIELD 8700 1451 103 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8700 1451 104 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8700 1451 105 HERE - NO SECONDARY ENERGY DATA 8700 1451 106 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8700 1451 107 INTERPOLABLE - SUMMATION CROSS SECTIONS 8700 1451 108 (E.G., TOTAL) ARE NOT INCLUDED 8700 1451 109 - FORM FACTORS ARE LOG X VS. LOG Y 8700 1451 110 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8700 1451 111 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8700 1451 112 ORDER TO ALLOW CROSS SECTIONS DEFINED 8700 1451 113 BY SUMMATION (E.G., TOTAL) TO BE 8700 1451 114 CONSISTENTLY DEFINED AT ALL ENERGIES. 8700 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 8700 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8700 1451 117 =================================================================8700 1451 118 REFERENCES 8700 1451 119 =================================================================8700 1451 120 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8700 1451 121 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8700 1451 122 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8700 1451 123 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8700 1451 124 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8700 1451 125 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8700 1451 126 8700 1451 127 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8700 1451 128 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8700 1451 129 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8700 1451 130 OF THE DATA, ETC. 8700 1451 131 =================================================================8700 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8700 1451 133 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8700 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8700 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8700 1451 136 *RECONSTRUCTED MT NUMBERS 8700 1451 137 516 =+(515,515)+(517,517) 8700 1451 138 522 =+(534,572) 8700 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8700 1451 140 1 451 177 18700 1451 141 23 501 581 18700 1451 142 23 502 111 18700 1451 143 23 504 23 18700 1451 144 23 515 17 18700 1451 145 23 516 36 18700 1451 146 23 517 23 18700 1451 147 23 522 443 18700 1451 148 23 534 25 18700 1451 149 23 535 31 18700 1451 150 23 536 34 18700 1451 151 23 537 36 18700 1451 152 23 538 35 18700 1451 153 23 539 37 18700 1451 154 23 540 39 18700 1451 155 23 541 47 18700 1451 156 23 542 47 18700 1451 157 23 543 38 18700 1451 158 23 544 40 18700 1451 159 23 545 43 18700 1451 160 23 546 51 18700 1451 161 23 547 51 18700 1451 162 23 548 65 18700 1451 163 23 549 66 18700 1451 164 23 550 41 18700 1451 165 23 551 47 18700 1451 166 23 552 48 18700 1451 167 23 553 63 18700 1451 168 23 554 68 18700 1451 169 23 559 49 18700 1451 170 23 560 58 18700 1451 171 23 561 60 18700 1451 172 23 570 52 18700 1451 173 27 502 48 18700 1451 174 27 504 45 18700 1451 175 27 505 92 18700 1451 176 27 506 148 18700 1451 177 8700 1 0 178 8700 0 0 179 8.700000+4 2.210840+2 0 0 0 0870023501 180 0.000000+0 0.000000+0 0 0 1 1734870023501 181 1734 2 0 0 0 0870023501 182 1.000000+1 1.441510+5 1.031810+1 1.345270+5 1.081440+1 1.195120+5870023501 183 1.090510+1 1.167680+5 1.133450+1 1.069410+5 1.154780+1 1.020600+5870023501 184 1.160770+1 1.006900+5 1.176400+1 9.711370+4 1.184140+1 9.579270+4870023501 185 1.210720+1 9.125670+4 1.239860+1 8.628450+4 1.266690+1 8.170729+4870023501 186 1.294100+1 7.703200+4 1.310390+1 7.498000+4 1.322750+1 7.342410+4870023501 187 1.341500+1 7.106570+4 1.360510+1 6.867760+4 1.370710+1 6.740390+4870023501 188 1.376340+1 6.670340+4 1.381980+1 6.600600+4 1.387710+1 6.530430+4870023501 189 1.392760+1 6.469410+4 1.399030+1 6.394920+4 1.401620+1 6.364570+4870023501 190 1.407860+1 6.311230+4 1.408200+1 6.308330+4 1.414000+1 6.257080+4870023501 191 1.414000+1 7.801190+7 1.418510+1 7.684780+7 1.423920+1 7.545140+7870023501 192 1.433400+1 7.300430+7 1.446960+1 6.950420+7 1.463750+1 6.517030+7870023501 193 1.478020+1 6.148690+7 1.494270+1 5.829120+7 1.504580+1 5.626360+7870023501 194 1.520560+1 5.312100+7 1.531900+1 5.135870+7 1.538510+1 5.033160+7870023501 195 1.573210+1 4.493970+7 1.629690+1 3.790200+7 1.638790+1 3.676810+7870023501 196 1.672600+1 3.325750+7 1.678940+1 3.277170+7 1.679940+1 3.269510+7870023501 197 1.688590+1 3.203250+7 1.738510+1 2.820850+7 1.752520+1 2.713530+7870023501 198 1.787210+1 2.506590+7 1.807360+1 2.386410+7 1.836260+1 2.214040+7870023501 199 1.857590+1 2.128350+7 1.888300+1 2.004990+7 1.898120+1 1.965540+7870023501 200 1.904080+1 1.941590+7 1.910580+1 1.915480+7 1.915950+1 1.893910+7870023501 201 1.926400+1 1.851930+7 1.927110+1 1.849080+7 1.928000+1 1.845510+7870023501 202 1.928000+1 4.773000+7 1.934160+1 4.708780+7 1.942130+1 4.625690+7870023501 203 1.949140+1 4.552610+7 1.958030+1 4.459930+7 1.960880+1 4.432890+7870023501 204 1.963490+1 4.408120+7 1.988080+1 4.174760+7 2.000000+1 4.061640+7870023501 205 2.005500+1 4.018590+7 2.045650+1 3.704310+7 2.077490+1 3.475590+7870023501 206 2.112320+1 3.225430+7 2.153230+1 2.973180+7 2.155980+1 2.956230+7870023501 207 2.217750+1 2.611980+7 2.255830+1 2.425590+7 2.284600+1 2.297590+7870023501 208 2.286410+1 2.289530+7 2.288100+1 2.283620+7 2.309400+1 2.209140+7870023501 209 2.365610+1 2.012580+7 2.400050+1 1.902200+7 2.467130+1 1.717930+7870023501 210 2.488600+1 1.658950+7 2.504410+1 1.615530+7 2.519330+1 1.577450+7870023501 211 2.576840+1 1.462470+7 2.631750+1 1.364550+7 2.651390+1 1.334040+7870023501 212 2.710810+1 1.241740+7 2.747220+1 1.185200+7 2.773720+1 1.147950+7870023501 213 2.809850+1 1.097170+7 2.882360+1 1.010740+7 2.895240+1 9.969680+6870023501 214 3.000000+1 8.849360+6 3.004050+1 8.814240+6 3.097640+1 8.002910+6870023501 215 3.139010+1 7.690490+6 3.185330+1 7.340690+6 3.230340+1 7.000790+6870023501 216 3.243510+1 6.901330+6 3.243600+1 6.900760+6 3.255960+1 6.823140+6870023501 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5.769420+0 1.066770+5 4.589150+0870023545 1861 1.153960+5 3.602720+0 1.236080+5 2.915190+0 1.312710+5 2.422130+0870023545 1862 1.415880+5 1.918590+0 1.508440+5 1.578600+0 1.618650+5 1.270380+0870023545 1863 1.706560+5 1.079390+0 1.847470+5 8.453720-1 2.000000+5 6.620900-1870023545 1864 2.151150+5 5.316430-1 2.286410+5 4.424460-1 2.447070+5 3.606100-1870023545 1865 2.631750+5 2.896480-1 2.809850+5 2.378040-1 3.000000+5 1.952400-1870023545 1866 3.223710+5 1.585540-1 3.402370+5 1.356390-1 3.689100+5 1.073230-1870023545 1867 4.000000+5 8.491900-2 4.229490+5 7.282970-2 4.598630+5 5.784470-2870023545 1868 5.000000+5 4.594300-2 5.477230+5 3.612750-2 6.000000+5 2.840900-2870023545 1869 6.623670+5 2.222870-2 7.085680+5 1.880490-2 7.682820+5 1.538510-2870023545 1870 8.226280+5 1.305140-2 8.820400+5 1.111780-2 9.590240+5 9.171700-3870023545 1871 1.022000+6 7.976560-3 1.130270+6 6.555310-3 1.250000+6 5.387300-3870023545 1872 1.369310+6 4.543400-3 1.500000+6 3.831700-3 1.701190+6 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6.065400+2 2.371960+5870023546 1888 6.104700+2 2.466660+5 6.180520+2 2.481820+5 7.068720+2 2.120340+5870023546 1889 7.286750+2 2.108050+5 8.000000+2 2.226670+5 9.000000+2 2.188380+5870023546 1890 1.140000+3 1.886100+5 1.330290+3 1.588310+5 1.611850+3 1.220490+5870023546 1891 1.795470+3 1.029080+5 2.130360+3 7.729929+4 2.342010+3 6.499790+4870023546 1892 2.691330+3 4.956730+4 2.908320+3 4.177790+4 3.160260+3 3.478520+4870023546 1893 3.491550+3 2.792110+4 3.814640+3 2.276380+4 4.201690+3 1.798270+4870023546 1894 4.583500+3 1.454470+4 5.000000+3 1.176400+4 5.477230+3 9.266491+3870023546 1895 6.000000+3 7.299201+3 6.447420+3 5.978790+3 6.804750+3 5.147750+3870023546 1896 7.378210+3 4.112660+3 8.000000+3 3.285700+3 8.637790+3 2.623890+3870023546 1897 9.391701+3 2.052980+3 1.026260+4 1.575600+3 1.102090+4 1.262280+3870023546 1898 1.187240+4 1.001440+3 1.261640+4 8.289370+2 1.346540+4 6.769490+2870023546 1899 1.455980+4 5.308810+2 1.567610+4 4.193160+2 1.666040+4 3.432470+2870023546 1900 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1.080470-1 1.670160+5 8.660970-2870023546 1913 1.747130+5 7.337240-2 1.869300+5 5.721140-2 2.000000+5 4.461000-2870023546 1914 2.151150+5 3.449830-2 2.286410+5 2.782050-2 2.447070+5 2.189350-2870023546 1915 2.624580+5 1.710070-2 2.752930+5 1.444950-2 2.915270+5 1.180490-2870023546 1916 3.000000+5 1.067000-2 3.223710+5 8.377060-3 3.471900+5 6.527320-3870023546 1917 3.651980+5 5.506250-3 3.880460+5 4.489530-3 4.113140+5 3.711580-3870023546 1918 4.410200+5 2.976950-3 4.695850+5 2.440980-3 5.000000+5 2.001500-3870023546 1919 5.415170+5 1.570250-3 5.798350+5 1.275370-3 6.000000+5 1.149400-3870023546 1920 6.447420+5 9.352480-4 6.804750+5 8.012500-4 7.378210+5 6.353750-4870023546 1921 8.000000+5 5.038400-4 8.458970+5 4.357790-4 9.197270+5 3.505310-4870023546 1922 1.000000+6 2.819600-4 1.074770+6 2.447520-4 1.188630+6 2.011430-4870023546 1923 1.308290+6 1.674550-4 1.433160+6 1.412240-4 1.554920+6 1.217820-4870023546 1924 1.701190+6 1.040530-4 1.894980+6 8.615070-5 2.044000+6 7.558430-5870023546 1925 2.332190+6 6.120490-5 2.551640+6 5.300310-5 2.842410+6 4.459830-5870023546 1926 3.000000+6 4.090980-5 3.464100+6 3.307370-5 4.000000+6 2.673860-5870023546 1927 4.472140+6 2.287610-5 5.000000+6 1.957160-5 5.732660+6 1.628830-5870023546 1928 6.480740+6 1.385890-5 7.483310+6 1.151800-5 8.485280+6 9.835640-6870023546 1929 1.000000+7 8.036460-6 1.148910+7 6.804510-6 1.349070+7 5.632360-6870023546 1930 1.600000+7 4.624430-6 1.897370+7 3.814140-6 2.200000+7 3.234330-6870023546 1931 2.600000+7 2.691870-6 3.000000+7 2.304590-6 3.464100+7 1.975780-6870023546 1932 4.000000+7 1.693890-6 4.728710+7 1.419650-6 5.477230+7 1.216730-6870023546 1933 6.447420+7 1.026630-6 7.444840+7 8.844790-7 8.944271+7 7.319670-7870023546 1934 1.000000+8 6.526160-7 0.000000+0 0.000000+0 0.000000+0 0.000000+0870023546 1935 870023 0 1936 8.700000+4 2.210840+2 0 0 0 0870023547 1937 5.659500+2 6.402500-2 0 0 1 144870023547 1938 144 2 0 0 0 0870023547 1939 5.659500+2 0.000000+0 5.659500+2 4.581780+5 5.964000+2 3.743410+5870023547 1940 6.177930+2 3.547940+5 6.831150+2 3.654630+5 7.205630+2 3.750250+5870023547 1941 8.392500+2 3.653470+5 1.067710+3 3.093450+5 1.330290+3 2.395510+5870023547 1942 1.586090+3 1.840160+5 1.764570+3 1.551360+5 2.018500+3 1.222310+5870023547 1943 2.245280+3 9.998979+4 2.459840+3 8.417629+4 2.813260+3 6.309180+4870023547 1944 3.006590+3 5.421220+4 3.321770+3 4.318010+4 3.670000+3 3.439300+4870023547 1945 3.964990+3 2.832080+4 4.201690+3 2.448120+4 4.583500+3 1.967540+4870023547 1946 5.000000+3 1.581300+4 5.415170+3 1.275790+4 5.798350+3 1.061360+4870023547 1947 6.219690+3 8.738210+3 6.623670+3 7.304230+3 7.085681+3 6.027900+3870023547 1948 7.682820+3 4.787140+3 8.458970+3 3.606930+3 9.101571+3 2.893770+3870023547 1949 9.691081+3 2.395850+3 1.053210+4 1.847550+3 1.124180+4 1.500410+3870023547 1950 1.187240+4 1.260550+3 1.261640+4 1.038280+3 1.346540+4 8.434350+2870023547 1951 1.427820+4 6.995440+2 1.514000+4 5.802000+2 1.623120+4 4.587290+2870023547 1952 1.743900+4 3.600360+2 1.831370+4 3.052190+2 1.942130+4 2.503400+2870023547 1953 2.103980+4 1.895540+2 2.242480+4 1.513320+2 2.365370+4 1.253350+2870023547 1954 2.510180+4 1.016050+2 2.675180+4 8.114170+1 2.832940+4 6.627370+1870023547 1955 3.000000+4 5.413000+1 3.197810+4 4.273930+1 3.381560+4 3.475700+1870023547 1956 3.627750+4 2.679850+1 3.847530+4 2.155720+1 4.107990+4 1.691730+1870023547 1957 4.395060+4 1.317600+1 4.602210+4 1.111150+1 4.863720+4 9.056450+0870023547 1958 5.221370+4 6.928580+0 5.542310+4 5.516090+0 5.854120+4 4.474880+0870023547 1959 6.246270+4 3.492680+0 6.624730+4 2.789450+0 6.974640+4 2.291300+0870023547 1960 7.450910+4 1.780080+0 7.730070+4 1.546640+0 8.243990+4 1.209350+0870023547 1961 8.809779+4 9.383670-1 9.217660+4 7.893170-1 9.732110+4 6.413660-1870023547 1962 1.025670+5 5.248620-1 1.075580+5 4.378420-1 1.143200+5 3.469630-1870023547 1963 1.218350+5 2.721450-1 1.283370+5 2.231800-1 1.356890+5 1.804510-1870023547 1964 1.426650+5 1.490360-1 1.500000+5 1.230900-1 1.554920+5 1.076190-1870023547 1965 1.655920+5 8.507460-2 1.766950+5 6.676100-2 1.846890+5 5.659040-2870023547 1966 1.947600+5 4.640950-2 2.051330+5 3.837240-2 2.199390+5 2.987710-2870023547 1967 2.286410+5 2.599100-2 2.447070+5 2.036670-2 2.624580+5 1.583840-2870023547 1968 2.752930+5 1.334290-2 2.915270+5 1.086160-2 3.000000+5 9.799800-3870023547 1969 3.223710+5 7.701350-3 3.471900+5 6.006840-3 3.651980+5 5.070660-3870023547 1970 3.880460+5 4.137760-3 4.113140+5 3.426770-3 4.410200+5 2.757780-3870023547 1971 4.695850+5 2.268120-3 5.000000+5 1.865400-3 5.415170+5 1.472080-3870023547 1972 5.798350+5 1.201670-3 6.000000+5 1.085700-3 6.447420+5 8.914330-4870023547 1973 6.804750+5 7.689050-4 7.378210+5 6.159550-4 8.000000+5 4.934300-4870023547 1974 8.458970+5 4.301600-4 9.197270+5 3.501370-4 1.000000+6 2.850000-4870023547 1975 1.074770+6 2.473910-4 1.188630+6 2.033110-4 1.308290+6 1.692610-4870023547 1976 1.433160+6 1.427460-4 1.554920+6 1.230940-4 1.701190+6 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9.763410+4-3.813620+0 9.860079+4-4.227900+0 9.928490+4-4.656180+0870027506 2932 9.966979+4-4.986510+0 9.994060+4-5.267940+0 1.001290+5-5.486570+0870027506 2933 1.002550+5-5.639770+0 1.003710+5-5.784720+0 1.005110+5-5.958100+0870027506 2934 1.006880+5-6.169930+0 1.008830+5-6.378440+0 1.011020+5-6.561250+0870027506 2935 1.015280+5-6.680500+0 1.019540+5-6.483180+0 1.023480+5-6.060980+0870027506 2936 1.027260+5-5.559460+0 1.032040+5-4.962340+0 1.036600+5-4.475940+0870027506 2937 1.045560+5-3.831820+0 1.060110+5-3.166930+0 1.082560+5-2.498390+0870027506 2938 1.105000+5-2.045290+0 1.126850+5-1.711420+0 1.160330+5-1.303070+0870027506 2939 1.192410+5-1.022610+0 1.251230+5-6.386430-1 1.277920+5-4.934900-1870027506 2940 1.306420+5-3.817790-1 1.385980+5-1.276860-1 1.415880+5-6.980180-2870027506 2941 1.446080+5-9.401300-3 1.476660+5 5.202340-2 1.524770+5 1.330520-1870027506 2942 1.576950+5 1.799880-1 1.631150+5 2.440720-1 1.658250+5 2.701300-1870027506 2943 1.674850+5 2.803060-1 1.702820+5 2.874830-1 1.779970+5 3.288580-1870027506 2944 1.800120+5 3.292640-1 1.901000+5 3.657530-1 1.926280+5 3.678360-1870027506 2945 1.948080+5 3.658950-1 2.051330+5 3.841870-1 2.091960+5 3.779770-1870027506 2946 2.234800+5 3.932380-1 2.426460+5 3.691600-1 2.603350+5 3.641330-1870027506 2947 3.385090+5 2.694050-1 3.479990+5 2.544400-1 3.880460+5 2.131390-1870027506 2948 4.625150+5 1.531560-1 5.277580+5 1.107080-1 5.873890+5 8.528310-2870027506 2949 6.239780+5 7.112980-2 6.951610+5 4.715640-2 7.492200+5 3.485220-2870027506 2950 7.586300+5 3.229960-2 8.000000+5 2.486310-2 8.069910+5 2.313150-2870027506 2951 8.575460+5 1.606920-2 9.457420+5 5.879180-3 1.000000+6 0.000000+0870027506 2952 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0870027506 2953 870027 0 2954 8700 0 0 2955 0 0 0 2956 8.800000+4 2.240840+2 -1 0 0 18800 1451 1 0.000000+0 0.000000+0 0 0 0 68800 1451 2 0.000000+0 0.000000+0 0 0 3 68800 1451 3 0.000000+0 0.000000+0 0 0 136 378800 1451 4 88-RA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8800 1451 6 ----ENDF/B-VI MATERIAL 8800 8800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8800 1451 8 ------ENDF-6 FORMAT 8800 1451 9 =================================================================8800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8800 1451 11 ENDF/B-VI FORMAT 8800 1451 12 =================================================================8800 1451 13 CONTENTS 8800 1451 14 =================================================================8800 1451 15 MF/MT DESCRIPTION 8800 1451 16 =================================================================8800 1451 17 23/501 TOTAL CROSS SECTION 8800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 48 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8800 1451 49 =================================================================8800 1451 50 27/502 COHERENT SCATTERING FORM FACTORS 8800 1451 51 27/504 INCOHERENT SCATTERING FUNCTIONS 8800 1451 52 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8800 1451 53 27/506 COHERENT REAL SCATTERING FACTOR 8800 1451 54 =================================================================8800 1451 55 WARNING 8800 1451 56 =================================================================8800 1451 57 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8800 1451 58 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8800 1451 59 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8800 1451 60 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8800 1451 61 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8800 1451 62 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8800 1451 63 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8800 1451 64 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8800 1451 65 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8800 1451 66 =================================================================8800 1451 67 DEFINITION OF NEW TYPES OF DATA 8800 1451 68 =================================================================8800 1451 69 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8800 1451 70 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8800 1451 71 8800 1451 72 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8800 1451 73 C2 FIELDS ARE, 8800 1451 74 8800 1451 75 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8800 1451 76 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8800 1451 77 8800 1451 78 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8800 1451 79 8800 1451 80 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8800 1451 81 8800 1451 82 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8800 1451 83 T = THE THOMSON CROSS SECTION 8800 1451 84 MU = THE COSINE OF THE SCATTERING ANGLE 8800 1451 85 FF(M) = THE ATOMIC FORM FACTOR 8800 1451 86 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8800 1451 87 F1(E) = THE REAL SCATTERING FACTOR 8800 1451 88 F2(E) = THE IMAGINARY SCATTERING FACTOR 8800 1451 89 8800 1451 90 F1(E) AND F2(E) ARE ISOTROPIC. 8800 1451 91 8800 1451 92 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8800 1451 93 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8800 1451 94 =================================================================8800 1451 95 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8800 1451 96 =================================================================8800 1451 97 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8800 1451 98 HERE - 10 EV TO 100 MEV 8800 1451 99 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8800 1451 100 - FLUORESCENCE AND ELECTRON SPECTRA 8800 1451 101 HERE - PHOTON INTERACTION 8800 1451 102 - AVERAGE FLUORESCENCE YIELD 8800 1451 103 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8800 1451 104 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8800 1451 105 HERE - NO SECONDARY ENERGY DATA 8800 1451 106 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8800 1451 107 INTERPOLABLE - SUMMATION CROSS SECTIONS 8800 1451 108 (E.G., TOTAL) ARE NOT INCLUDED 8800 1451 109 - FORM FACTORS ARE LOG X VS. LOG Y 8800 1451 110 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8800 1451 111 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8800 1451 112 ORDER TO ALLOW CROSS SECTIONS DEFINED 8800 1451 113 BY SUMMATION (E.G., TOTAL) TO BE 8800 1451 114 CONSISTENTLY DEFINED AT ALL ENERGIES. 8800 1451 115 - FORM FACTORS ARE LOG X VS. LOG Y 8800 1451 116 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8800 1451 117 =================================================================8800 1451 118 REFERENCES 8800 1451 119 =================================================================8800 1451 120 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8800 1451 121 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8800 1451 122 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8800 1451 123 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8800 1451 124 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8800 1451 125 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8800 1451 126 8800 1451 127 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8800 1451 128 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8800 1451 129 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8800 1451 130 OF THE DATA, ETC. 8800 1451 131 =================================================================8800 1451 132 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8800 1451 133 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8800 1451 134 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8800 1451 135 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8800 1451 136 *RECONSTRUCTED MT NUMBERS 8800 1451 137 516 =+(515,515)+(517,517) 8800 1451 138 522 =+(534,572) 8800 1451 139 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8800 1451 140 1 451 177 18800 1451 141 23 501 570 18800 1451 142 23 502 110 18800 1451 143 23 504 23 18800 1451 144 23 515 17 18800 1451 145 23 516 37 18800 1451 146 23 517 23 18800 1451 147 23 522 430 18800 1451 148 23 534 25 18800 1451 149 23 535 31 18800 1451 150 23 536 34 18800 1451 151 23 537 36 18800 1451 152 23 538 35 18800 1451 153 23 539 37 18800 1451 154 23 540 40 18800 1451 155 23 541 47 18800 1451 156 23 542 47 18800 1451 157 23 543 38 18800 1451 158 23 544 40 18800 1451 159 23 545 43 18800 1451 160 23 546 49 18800 1451 161 23 547 50 18800 1451 162 23 548 65 18800 1451 163 23 549 66 18800 1451 164 23 550 41 18800 1451 165 23 551 47 18800 1451 166 23 552 48 18800 1451 167 23 553 59 18800 1451 168 23 554 61 18800 1451 169 23 559 48 18800 1451 170 23 560 56 18800 1451 171 23 561 57 18800 1451 172 23 570 53 18800 1451 173 27 502 47 18800 1451 174 27 504 45 18800 1451 175 27 505 90 18800 1451 176 27 506 144 18800 1451 177 8800 1 0 178 8800 0 0 179 8.800000+4 2.240840+2 0 0 0 0880023501 180 0.000000+0 0.000000+0 0 0 1 1701880023501 181 1701 2 0 0 0 0880023501 182 1.000000+1 7.874320+5 1.056170+1 6.700550+5 1.075580+1 6.294950+5880023501 183 1.126300+1 5.488220+5 1.143200+1 5.219420+5 1.154780+1 5.077720+5880023501 184 1.183680+1 4.724100+5 1.223530+1 4.236490+5 1.227910+1 4.196230+5880023501 185 1.304330+1 3.493860+5 1.315870+1 3.387790+5 1.388230+1 2.886080+5880023501 186 1.404920+1 2.770360+5 1.407860+1 2.754750+5 1.443030+1 2.567990+5880023501 187 1.500000+1 2.265470+5 1.535560+1 2.131730+5 1.573110+1 1.990500+5880023501 188 1.599230+1 1.892270+5 1.611850+1 1.844810+5 1.631160+1 1.787880+5880023501 189 1.647360+1 1.740120+5 1.664610+1 1.689270+5 1.688590+1 1.618590+5880023501 190 1.690820+1 1.612020+5 1.701190+1 1.581450+5 1.717440+1 1.544480+5880023501 191 1.738400+1 1.496820+5 1.755710+1 1.457460+5 1.774440+1 1.414890+5880023501 192 1.791470+1 1.376190+5 1.808670+1 1.337130+5 1.818790+1 1.314200+5880023501 193 1.826560+1 1.296630+5 1.833150+1 1.281770+5 1.839960+1 1.266470+5880023501 194 1.844550+1 1.256200+5 1.854360+1 1.240230+5 1.862000+1 1.227720+5880023501 195 1.862000+1 2.773260+7 1.867610+1 2.742910+7 1.873570+1 2.710660+7880023501 196 1.881840+1 2.665920+7 1.902940+1 2.551760+7 1.939000+1 2.356660+7880023501 197 1.951170+1 2.290810+7 1.964570+1 2.218310+7 1.988080+1 2.125120+7880023501 198 2.000000+1 2.077870+7 2.004360+1 2.060610+7 2.054920+1 1.860460+7880023501 199 2.058990+1 1.848300+7 2.122730+1 1.657860+7 2.146150+1 1.587950+7880023501 200 2.169330+1 1.518750+7 2.216410+1 1.402960+7 2.228900+1 1.372240+7880023501 201 2.309400+1 1.225050+7 2.321100+1 1.203660+7 2.342150+1 1.165220+7880023501 202 2.378430+1 1.098980+7 2.431690+1 1.025930+7 2.446920+1 1.005040+7880023501 203 2.457130+1 9.910390+6 2.463360+1 9.824950+6 2.472450+1 9.700290+6880023501 204 2.488000+1 9.487030+6 2.488000+1 2.166270+7 2.488240+1 2.165580+7880023501 205 2.498730+1 2.135420+7 2.510000+1 2.103020+7 2.524480+1 2.061380+7880023501 206 2.538000+1 2.022500+7 2.542730+1 2.010690+7 2.607160+1 1.849800+7880023501 207 2.689270+1 1.672690+7 2.745170+1 1.565460+7 2.759350+1 1.538260+7880023501 208 2.773720+1 1.510710+7 2.796690+1 1.466670+7 2.892400+1 1.312780+7880023501 209 3.000000+1 1.159740+7 3.074150+1 1.075090+7 3.197090+1 9.513220+6880023501 210 3.255960+1 8.994570+6 3.290040+1 8.694320+6 3.324760+1 8.426250+6880023501 211 3.389300+1 7.928240+6 3.404980+1 7.823470+6 3.528560+1 6.997720+6880023501 212 3.629730+1 6.408270+6 3.640120+1 6.347730+6 3.684670+1 6.124730+6880023501 213 3.746230+1 5.816960+6 3.806480+1 5.515750+6 3.808540+1 5.505450+6880023501 214 3.867290+1 5.245950+6 3.874760+1 5.212960+6 3.900030+1 5.117990+6880023501 215 3.921730+1 5.036440+6 3.937790+1 4.976080+6 3.954000+1 4.915160+6880023501 216 3.954000+1 5.278690+6 4.000890+1 5.088170+6 4.025390+1 4.988620+6880023501 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1.696230+4 3.487960+2 1.799020+4 2.876780+2880023546 1876 1.930630+4 2.283010+2 2.051330+4 1.864900+2 2.199390+4 1.469310+2880023546 1877 2.286410+4 1.286650+2 2.447070+4 1.019920+2 2.624580+4 8.026340+1880023546 1878 2.752930+4 6.816730+1 2.915270+4 5.603320+1 3.097330+4 4.531670+1880023546 1879 3.288400+4 3.657760+1 3.465240+4 3.032520+1 3.706180+4 2.384100+1880023546 1880 3.847530+4 2.085210+1 4.107990+4 1.649460+1 4.395060+4 1.295250+1880023546 1881 4.602210+4 1.098420+1 4.863720+4 9.012990+0 5.221370+4 6.957330+0880023546 1882 5.542310+4 5.581830+0 5.854120+4 4.560360+0 6.259340+4 3.561730+0880023546 1883 6.636860+4 2.869070+0 6.985820+4 2.374430+0 7.450910+4 1.871510+0880023546 1884 7.863900+4 1.533480+0 8.350810+4 1.228380+0 8.735670+4 1.040100+0880023546 1885 9.346479+4 8.103750-1 1.000000+5 6.313900-1 1.058680+5 5.132400-1880023546 1886 1.104930+5 4.393780-1 1.178130+5 3.480280-1 1.256180+5 2.756700-1880023546 1887 1.313140+5 2.331790-1 1.403460+5 1.814010-1 1.500000+5 1.411200-1880023546 1888 1.604630+5 1.104120-1 1.695460+5 9.036180-2 1.798500+5 7.290130-2880023546 1889 1.896570+5 6.009110-2 2.000000+5 4.953200-2 2.151150+5 3.832190-2880023546 1890 2.286410+5 3.091560-2 2.447070+5 2.433940-2 2.624580+5 1.901940-2880023546 1891 2.752930+5 1.607550-2 2.915270+5 1.313790-2 3.000000+5 1.187700-2880023546 1892 3.223710+5 9.329280-3 3.471900+5 7.272990-3 3.651980+5 6.137400-3880023546 1893 3.880460+5 5.006220-3 4.113140+5 4.140430-3 4.410200+5 3.322590-3880023546 1894 4.695850+5 2.725610-3 5.000000+5 2.235900-3 5.415170+5 1.754500-3880023546 1895 5.798350+5 1.425270-3 6.000000+5 1.284600-3 6.447420+5 1.045320-3880023546 1896 6.804750+5 8.955990-4 7.378210+5 7.102440-4 8.000000+5 5.632500-4880023546 1897 8.458970+5 4.875040-4 9.197270+5 3.925500-4 1.000000+6 3.160900-4880023546 1898 1.074770+6 2.743820-4 1.188630+6 2.255070-4 1.308290+6 1.877470-4880023546 1899 1.433160+6 1.583400-4 1.554920+6 1.365360-4 1.701190+6 1.166460-4880023546 1900 1.894980+6 9.656370-5 2.044000+6 8.472510-5 2.332190+6 6.859180-5880023546 1901 2.551640+6 5.939130-5 2.842410+6 4.996460-5 3.000000+6 4.582820-5880023546 1902 3.464100+6 3.704950-5 4.000000+6 2.995240-5 4.472140+6 2.562260-5880023546 1903 5.000000+6 2.191870-5 5.732660+6 1.823900-5 6.480740+6 1.551750-5880023546 1904 7.483310+6 1.289460-5 8.485280+6 1.100900-5 1.000000+7 8.996050-6880023546 1905 1.148910+7 7.614310-6 1.349070+7 6.302390-6 1.600000+7 5.176420-6880023546 1906 1.897370+7 4.267500-6 2.200000+7 3.617960-6 2.600000+7 3.011100-6880023546 1907 3.000000+7 2.577520-6 3.464100+7 2.209680-6 4.000000+7 1.894330-6880023546 1908 4.728710+7 1.587360-6 5.477230+7 1.360560-6 6.447420+7 1.148110-6880023546 1909 7.444840+7 9.890880-7 8.944271+7 8.184360-7 1.000000+8 7.296390-7880023546 1910 880023 0 1911 8.800000+4 2.240840+2 0 0 0 0880023547 1912 6.030600+2 7.632100-2 0 0 1 141880023547 1913 141 2 0 0 0 0880023547 1914 6.030600+2 0.000000+0 6.030600+2 3.842580+5 6.495000+2 3.673060+5880023547 1915 8.367850+2 3.665870+5 1.000000+3 3.323100+5 1.341640+3 2.418630+5880023547 1916 1.611850+3 1.854530+5 1.795470+3 1.550670+5 2.157980+3 1.116010+5880023547 1917 2.418650+3 8.911720+4 2.710810+3 7.116310+4 2.982310+3 5.769450+4880023547 1918 3.281000+3 4.677500+4 3.546300+3 3.879010+4 3.759260+3 3.370950+4880023547 1919 4.102920+3 2.730850+4 4.478000+3 2.212300+4 4.817820+3 1.824770+4880023547 1920 5.089510+3 1.579360+4 5.526030+3 1.271720+4 6.000000+3 1.024000+4880023547 1921 6.447420+3 8.353470+3 6.804750+3 7.170380+3 7.378210+3 5.702360+3880023547 1922 8.000000+3 4.534900+3 8.637790+3 3.604750+3 9.101571+3 3.082500+3880023547 1923 9.691081+3 2.554680+3 1.056820+4 1.950210+3 1.132900+4 1.562770+3880023547 1924 1.200760+4 1.298350+3 1.281140+4 1.056190+3 1.373230+4 8.466120+2880023547 1925 1.461760+4 6.938000+2 1.556000+4 5.685700+2 1.656780+4 4.603580+2880023547 1926 1.736620+4 3.929430+2 1.863670+4 3.098700+2 2.000000+4 2.443600+2880023547 1927 2.151150+4 1.890990+2 2.286410+4 1.525810+2 2.447070+4 1.201500+2880023547 1928 2.624580+4 9.390850+1 2.752930+4 7.938470+1 2.915270+4 6.488960+1880023547 1929 3.097330+4 5.215040+1 3.288400+4 4.181940+1 3.465240+4 3.447330+1880023547 1930 3.706180+4 2.690410+1 3.847530+4 2.343520+1 4.107990+4 1.840580+1880023547 1931 4.395060+4 1.434710+1 4.602210+4 1.210590+1 4.863720+4 9.873670+0880023547 1932 5.221370+4 7.559760+0 5.542310+4 6.022350+0 5.854120+4 4.888380+0880023547 1933 6.246270+4 3.818010+0 6.624730+4 3.051150+0 6.974640+4 2.507620+0880023547 1934 7.450910+4 1.949480+0 7.730070+4 1.694480+0 8.243990+4 1.325830+0880023547 1935 8.809779+4 1.029470+0 9.217660+4 8.663580-1 9.732110+4 7.043660-1880023547 1936 1.028920+5 5.707690-1 1.081560+5 4.734570-1 1.140940+5 3.875270-1880023547 1937 1.216530+5 3.047380-1 1.284350+5 2.479370-1 1.357550+5 1.999140-1880023547 1938 1.427000+5 1.647010-1 1.500000+5 1.356900-1 1.554920+5 1.186630-1880023547 1939 1.655920+5 9.384430-2 1.766950+5 7.367430-2 1.846890+5 6.246870-2880023547 1940 1.947600+5 5.124820-2 2.051330+5 4.238800-2 2.199390+5 3.301970-2880023547 1941 2.286410+5 2.873260-2 2.447070+5 2.252570-2 2.624580+5 1.752590-2880023547 1942 2.752930+5 1.476940-2 2.915270+5 1.202760-2 3.000000+5 1.085400-2880023547 1943 3.223710+5 8.531470-3 3.471900+5 6.655640-3 3.651980+5 5.619100-3880023547 1944 3.880460+5 4.586050-3 4.113140+5 3.797800-3 4.410200+5 3.055280-3880023547 1945 4.695850+5 2.511980-3 5.000000+5 2.065300-3 5.415170+5 1.629510-3880023547 1946 5.798350+5 1.329950-3 6.000000+5 1.201500-3 6.447420+5 9.873750-4880023547 1947 6.804750+5 8.522180-4 7.378210+5 6.833670-4 8.000000+5 5.479700-4880023547 1948 8.458970+5 4.771540-4 9.197270+5 3.877150-4 1.000000+6 3.150400-4880023547 1949 1.074770+6 2.734700-4 1.188630+6 2.247580-4 1.308290+6 1.871230-4880023547 1950 1.433160+6 1.578140-4 1.554920+6 1.360830-4 1.701190+6 1.162580-4880023547 1951 1.894980+6 9.624290-5 2.044000+6 8.444370-5 2.332190+6 6.836400-5880023547 1952 2.551640+6 5.919400-5 2.842410+6 4.979870-5 3.000000+6 4.567600-5880023547 1953 3.464100+6 3.692640-5 4.000000+6 2.985290-5 4.472140+6 2.553740-5880023547 1954 5.000000+6 2.184580-5 5.732660+6 1.817840-5 6.480740+6 1.546590-5880023547 1955 7.483310+6 1.285180-5 8.485280+6 1.097250-5 1.000000+7 8.966170-6880023547 1956 1.148910+7 7.589020-6 1.349070+7 6.281460-6 1.600000+7 5.159220-6880023547 1957 1.897370+7 4.253320-6 2.200000+7 3.605940-6 2.600000+7 3.001090-6880023547 1958 3.000000+7 2.568950-6 3.464100+7 2.202340-6 4.000000+7 1.888040-6880023547 1959 4.728710+7 1.582080-6 5.477230+7 1.356040-6 6.447420+7 1.144290-6880023547 1960 7.444840+7 9.858020-7 8.944271+7 8.157170-7 1.000000+8 7.272150-7880023547 1961 880023 0 1962 8.800000+4 2.240840+2 0 0 0 0880023548 1963 2.997000+2 2.507800-3 0 0 1 186880023548 1964 186 2 0 0 0 0880023548 1965 2.997000+2 0.000000+0 2.997000+2 9.914700+4 3.056900+2 8.862570+4880023548 1966 3.122490+2 8.403290+4 3.205430+2 8.903679+4 3.271870+2 9.897210+4880023548 1967 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1.105400+4 4.069870+3 8.622201+3880023548 1980 4.368250+3 6.673370+3 4.584150+3 5.603730+3 4.857350+3 4.543970+3880023548 1981 5.233180+3 3.447610+3 5.555800+3 2.753430+3 5.848120+3 2.270800+3880023548 1982 6.219690+3 1.792830+3 6.623670+3 1.403300+3 7.067790+3 1.090030+3880023548 1983 7.387540+3 9.175620+2 7.790400+3 7.462280+2 8.226281+3 6.014440+2880023548 1984 8.637790+3 4.940910+2 9.101571+3 4.002380+2 9.691081+3 3.108370+2880023548 1985 1.028020+4 2.440110+2 1.082680+4 1.964390+2 1.132900+4 1.624870+2880023548 1986 1.200760+4 1.273680+2 1.240300+4 1.112170+2 1.312640+4 8.772360+1880023548 1987 1.391670+4 6.868180+1 1.448270+4 5.812750+1 1.519230+4 4.758050+1880023548 1988 1.605600+4 3.758210+1 1.696230+4 2.963330+1 1.795060+4 2.319280+1880023548 1989 1.865720+4 1.962410+1 1.954200+4 1.605880+1 2.051330+4 1.297890+1880023548 1990 2.151150+4 1.050710+1 2.242480+4 8.733600+0 2.365370+4 6.889020+0880023548 1991 2.500880+4 5.377550+0 2.617280+4 4.392710+0 2.748010+4 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1.013200+5-4.216870+0880027506 2882 1.020230+5-4.642740+0 1.024190+5-4.971250+0 1.026970+5-5.251190+0880027506 2883 1.028920+5-5.469840+0 1.031400+5-5.765070+0 1.032830+5-5.937390+0880027506 2884 1.034650+5-6.147990+0 1.036660+5-6.355410+0 1.038910+5-6.537840+0880027506 2885 1.043110+5-6.657310+0 1.047310+5-6.484210+0 1.051200+5-6.098250+0880027506 2886 1.054930+5-5.624830+0 1.059650+5-5.043980+0 1.064150+5-4.557240+0880027506 2887 1.070930+5-4.029760+0 1.083960+5-3.384070+0 1.094770+5-2.995530+0880027506 2888 1.114240+5-2.468440+0 1.143450+5-1.904510+0 1.172650+5-1.507350+0880027506 2889 1.195050+5-1.274760+0 1.217140+5-1.090180+0 1.273040+5-7.095340-1880027506 2890 1.300990+5-5.534510-1 1.328930+5-4.392950-1 1.406500+5-1.835330-1880027506 2891 1.455430+5-8.326670-2 1.494190+5-1.086630-3 1.511390+5 3.559880-2880027506 2892 1.550910+5 1.105630-1 1.570670+5 1.403990-1 1.657600+5 2.090210-1880027506 2893 1.677990+5 2.194090-1 1.749380+5 2.788270-1 1.785070+5 3.041860-1880027506 2894 1.812250+5 3.148030-1 1.831970+5 3.116910-1 1.947600+5 3.580250-1880027506 2895 1.982550+5 3.656590-1 2.018020+5 3.578140-1 2.170910+5 3.861870-1880027506 2896 2.210450+5 3.854590-1 2.232750+5 3.783300-1 2.379550+5 3.782280-1880027506 2897 2.425330+5 3.678230-1 2.621650+5 3.641120-1 3.361220+5 2.734660-1880027506 2898 3.473440+5 2.550680-1 3.899850+5 2.140010-1 4.715510+5 1.490020-1880027506 2899 5.249150+5 1.135920-1 5.743440+5 9.177290-2 6.243450+5 7.228820-2880027506 2900 6.832060+5 5.272480-2 6.950680+5 4.804490-2 7.444840+5 3.702490-2880027506 2901 7.564370+5 3.338310-2 8.004770+5 2.527470-2 8.073000+5 2.351140-2880027506 2902 8.559700+5 1.658230-2 9.493730+5 5.556890-3 9.821170+5 1.925540-3880027506 2903 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0880027506 2904 880027 0 2905 8800 0 0 2906 0 0 0 2907 8.900000+4 2.250500+2 -1 0 0 18900 1451 1 0.000000+0 0.000000+0 0 0 0 68900 1451 2 0.000000+0 0.000000+0 0 0 3 68900 1451 3 0.000000+0 0.000000+0 0 0 138 398900 1451 4 89-AC- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 8900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 8900 1451 6 ----ENDF/B-VI MATERIAL 8900 8900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 8900 1451 8 ------ENDF-6 FORMAT 8900 1451 9 =================================================================8900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 8900 1451 11 ENDF/B-VI FORMAT 8900 1451 12 =================================================================8900 1451 13 CONTENTS 8900 1451 14 =================================================================8900 1451 15 MF/MT DESCRIPTION 8900 1451 16 =================================================================8900 1451 17 23/501 TOTAL CROSS SECTION 8900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 8900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 8900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 8900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 8900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 8900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 8900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 48 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 49 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 50 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 8900 1451 51 =================================================================8900 1451 52 27/502 COHERENT SCATTERING FORM FACTORS 8900 1451 53 27/504 INCOHERENT SCATTERING FUNCTIONS 8900 1451 54 27/505 COHERENT IMAGINARY SCATTERING FACTOR 8900 1451 55 27/506 COHERENT REAL SCATTERING FACTOR 8900 1451 56 =================================================================8900 1451 57 WARNING 8900 1451 58 =================================================================8900 1451 59 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 8900 1451 60 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 8900 1451 61 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 8900 1451 62 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 8900 1451 63 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 8900 1451 64 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 8900 1451 65 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 8900 1451 66 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 8900 1451 67 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 8900 1451 68 =================================================================8900 1451 69 DEFINITION OF NEW TYPES OF DATA 8900 1451 70 =================================================================8900 1451 71 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 8900 1451 72 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 8900 1451 73 8900 1451 74 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 8900 1451 75 C2 FIELDS ARE, 8900 1451 76 8900 1451 77 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 8900 1451 78 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 8900 1451 79 8900 1451 80 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 8900 1451 81 8900 1451 82 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8900 1451 83 8900 1451 84 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 8900 1451 85 T = THE THOMSON CROSS SECTION 8900 1451 86 MU = THE COSINE OF THE SCATTERING ANGLE 8900 1451 87 FF(M) = THE ATOMIC FORM FACTOR 8900 1451 88 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 8900 1451 89 F1(E) = THE REAL SCATTERING FACTOR 8900 1451 90 F2(E) = THE IMAGINARY SCATTERING FACTOR 8900 1451 91 8900 1451 92 F1(E) AND F2(E) ARE ISOTROPIC. 8900 1451 93 8900 1451 94 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 8900 1451 95 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 8900 1451 96 =================================================================8900 1451 97 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 8900 1451 98 =================================================================8900 1451 99 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 8900 1451 100 HERE - 10 EV TO 100 MEV 8900 1451 101 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION8900 1451 102 - FLUORESCENCE AND ELECTRON SPECTRA 8900 1451 103 HERE - PHOTON INTERACTION 8900 1451 104 - AVERAGE FLUORESCENCE YIELD 8900 1451 105 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 8900 1451 106 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)8900 1451 107 HERE - NO SECONDARY ENERGY DATA 8900 1451 108 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 8900 1451 109 INTERPOLABLE - SUMMATION CROSS SECTIONS 8900 1451 110 (E.G., TOTAL) ARE NOT INCLUDED 8900 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 8900 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8900 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 8900 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 8900 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 8900 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 8900 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 8900 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 8900 1451 119 =================================================================8900 1451 120 REFERENCES 8900 1451 121 =================================================================8900 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 8900 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 8900 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 8900 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),8900 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 8900 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 8900 1451 128 8900 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 8900 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 8900 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 8900 1451 132 OF THE DATA, ETC. 8900 1451 133 =================================================================8900 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************8900 1451 135 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 8900 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 8900 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************8900 1451 138 *RECONSTRUCTED MT NUMBERS 8900 1451 139 516 =+(515,515)+(517,517) 8900 1451 140 522 =+(534,572) 8900 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 8900 1451 142 1 451 181 18900 1451 143 23 501 600 18900 1451 144 23 502 100 18900 1451 145 23 504 23 18900 1451 146 23 515 17 18900 1451 147 23 516 36 18900 1451 148 23 517 23 18900 1451 149 23 522 472 18900 1451 150 23 534 25 18900 1451 151 23 535 31 18900 1451 152 23 536 33 18900 1451 153 23 537 35 18900 1451 154 23 538 35 18900 1451 155 23 539 36 18900 1451 156 23 540 39 18900 1451 157 23 541 46 18900 1451 158 23 542 47 18900 1451 159 23 543 39 18900 1451 160 23 544 39 18900 1451 161 23 545 43 18900 1451 162 23 546 48 18900 1451 163 23 547 49 18900 1451 164 23 548 64 18900 1451 165 23 549 66 18900 1451 166 23 550 41 18900 1451 167 23 551 46 18900 1451 168 23 552 47 18900 1451 169 23 553 59 18900 1451 170 23 554 58 18900 1451 171 23 559 48 18900 1451 172 23 560 55 18900 1451 173 23 561 57 18900 1451 174 23 562 63 18900 1451 175 23 563 63 18900 1451 176 23 570 54 18900 1451 177 27 502 47 18900 1451 178 27 504 44 18900 1451 179 27 505 79 18900 1451 180 27 506 139 18900 1451 181 8900 1 0 182 8900 0 0 183 8.900000+4 2.250500+2 0 0 0 0890023501 184 0.000000+0 0.000000+0 0 0 1 1789890023501 185 1789 2 0 0 0 0890023501 186 1.000000+1 1.005230+7 1.075580+1 9.125210+6 1.107160+1 8.764940+6890023501 187 1.135090+1 8.446310+6 1.143200+1 8.365570+6 1.154780+1 8.257500+6890023501 188 1.209330+1 7.748440+6 1.223530+1 7.625310+6 1.281910+1 7.148470+6890023501 189 1.312290+1 6.900330+6 1.390190+1 6.294820+6 1.407860+1 6.173290+6890023501 190 1.416470+1 6.114080+6 1.421820+1 6.078720+6 1.500000+1 5.562070+6890023501 191 1.554920+1 5.211950+6 1.557220+1 5.198250+6 1.615480+1 4.851260+6890023501 192 1.640100+1 4.708480+6 1.670870+1 4.530030+6 1.688590+1 4.439540+6890023501 193 1.751620+1 4.117700+6 1.760720+1 4.072200+6 1.788530+1 3.933150+6890023501 194 1.802860+1 3.866710+6 1.846860+1 3.662730+6 1.861210+1 3.604830+6890023501 195 1.882740+1 3.520100+6 1.910140+1 3.412260+6 1.937930+1 3.302890+6890023501 196 1.938880+1 3.299530+6 1.963270+1 3.213420+6 1.988080+1 3.125820+6890023501 197 1.990790+1 3.116250+6 2.017940+1 3.020390+6 2.019580+1 3.014690+6890023501 198 2.033500+1 2.966290+6 2.051450+1 2.913590+6 2.075690+1 2.842430+6890023501 199 2.090590+1 2.798680+6 2.110320+1 2.740760+6 2.127370+1 2.690710+6890023501 200 2.133780+1 2.671890+6 2.135950+1 2.666210+6 2.145320+1 2.641680+6890023501 201 2.153170+1 2.621130+6 2.160980+1 2.600680+6 2.162750+1 2.596050+6890023501 202 2.169010+1 2.579860+6 2.179180+1 2.553550+6 2.186000+1 2.535910+6890023501 203 2.195000+1 2.512620+6 2.195000+1 1.918200+7 2.203380+1 1.898950+7890023501 204 2.210840+1 1.881800+7 2.218590+1 1.863990+7 2.233450+1 1.829840+7890023501 205 2.239000+1 1.817090+7 2.279710+1 1.724950+7 2.293450+1 1.693850+7890023501 206 2.309400+1 1.657750+7 2.373320+1 1.513080+7 2.395780+1 1.475090+7890023501 207 2.408910+1 1.452880+7 2.430900+1 1.416260+7 2.475040+1 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6.128210-1890023545 1901 2.286410+5 5.103610-1 2.447070+5 4.162860-1 2.631750+5 3.346460-1890023545 1902 2.809850+5 2.749540-1 3.000000+5 2.259100-1 3.223710+5 1.835690-1890023545 1903 3.402370+5 1.571080-1 3.689100+5 1.243930-1 4.000000+5 9.849000-2890023545 1904 4.229490+5 8.448640-2 4.598630+5 6.712420-2 5.000000+5 5.333000-2890023545 1905 5.477230+5 4.194470-2 6.000000+5 3.299000-2 6.623670+5 2.581360-2890023545 1906 7.085680+5 2.183800-2 7.682820+5 1.786690-2 8.226280+5 1.515470-2890023545 1907 8.820400+5 1.290470-2 9.590240+5 1.064110-2 1.022000+6 9.252950-3890023545 1908 1.130270+6 7.605100-3 1.250000+6 6.250720-3 1.369310+6 5.271410-3890023545 1909 1.500000+6 4.445530-3 1.701190+6 3.566300-3 1.894980+6 2.952460-3890023545 1910 2.044000+6 2.590010-3 2.332190+6 2.096580-3 2.551640+6 1.815210-3890023545 1911 2.842410+6 1.526950-3 3.000000+6 1.400470-3 3.464100+6 1.132010-3890023545 1912 4.000000+6 9.150170-4 4.472140+6 7.826310-4 5.000000+6 6.693990-4890023545 1913 5.732660+6 5.569960-4 6.480740+6 4.737960-4 7.483310+6 3.936130-4890023545 1914 8.485280+6 3.360470-4 1.000000+7 2.745260-4 1.148910+7 2.324040-4890023545 1915 1.349070+7 1.922790-4 1.600000+7 1.579280-4 1.897370+7 1.301830-4890023545 1916 2.200000+7 1.103890-4 2.600000+7 9.184430-5 3.000000+7 7.862120-5890023545 1917 3.464100+7 6.739670-5 4.000000+7 5.777470-5 4.728710+7 4.841400-5890023545 1918 5.477230+7 4.149350-5 6.447420+7 3.500880-5 7.444840+7 3.015600-5890023545 1919 8.944271+7 2.495410-5 1.000000+8 2.224910-5 0.000000+0 0.000000+0890023545 1920 890023 0 1921 8.900000+4 2.250500+2 0 0 0 0890023546 1922 6.755100+2 1.943500-1 0 0 1 135890023546 1923 135 2 0 0 0 0890023546 1924 6.755100+2 0.000000+0 6.755100+2 1.958080+5 7.043700+2 2.126480+5890023546 1925 8.417100+2 2.196840+5 9.641939+2 2.138620+5 1.308290+3 1.680480+5890023546 1926 1.611850+3 1.282730+5 1.861210+3 1.031560+5 2.082500+3 8.761310+4890023546 1927 2.787470+3 5.131230+4 3.000000+3 4.265800+4 3.311840+3 3.422530+4890023546 1928 3.542840+3 2.945300+4 3.841410+3 2.459630+4 4.232650+3 1.959060+4890023546 1929 4.607250+3 1.594080+4 5.015000+3 1.297100+4 5.485440+3 1.029110+4890023546 1930 6.000000+3 8.164900+3 6.447420+3 6.705560+3 6.804750+3 5.784940+3890023546 1931 7.378210+3 4.635470+3 8.000000+3 3.714400+3 8.458970+3 3.160070+3890023546 1932 9.197270+3 2.479750+3 1.000000+4 1.945900+3 1.088000+4 1.499050+3890023546 1933 1.167580+4 1.204990+3 1.263070+4 9.448810+2 1.369730+4 7.353090+2890023546 1934 1.447570+4 6.197470+2 1.546840+4 5.047870+2 1.644460+4 4.157300+2890023546 1935 1.763840+4 3.307130+2 1.878680+4 2.691700+2 2.001000+4 2.190800+2890023546 1936 2.158850+4 1.747310+2 2.366300+4 1.288720+2 2.504970+4 1.059010+2890023546 1937 2.677050+4 8.357110+1 2.833930+4 6.787870+1 3.000000+4 5.513300+1890023546 1938 3.197810+4 4.390770+1 3.381560+4 3.597730+1 3.627750+4 2.800350+1890023546 1939 3.847530+4 2.270580+1 4.107990+4 1.797690+1 4.395060+4 1.412930+1890023546 1940 4.602210+4 1.198970+1 4.863720+4 9.845340+0 5.221370+4 7.606530+0890023546 1941 5.542310+4 6.106940+0 5.854120+4 4.992560+0 6.259340+4 3.902340+0890023546 1942 6.636860+4 3.145590+0 6.985820+4 2.604850+0 7.450910+4 2.054670+0890023546 1943 7.863900+4 1.684620+0 8.350810+4 1.350400+0 8.735670+4 1.144010+0890023546 1944 9.346479+4 8.920440-1 1.000000+5 6.955700-1 1.065700+5 5.509610-1890023546 1945 1.129770+5 4.448840-1 1.170820+5 3.903570-1 1.251870+5 3.054850-1890023546 1946 1.327370+5 2.465060-1 1.397160+5 2.043200-1 1.490180+5 1.613530-1890023546 1947 1.572780+5 1.324220-1 1.670160+5 1.062660-1 1.747130+5 9.009860-2890023546 1948 1.869300+5 7.034040-2 2.000000+5 5.491500-2 2.151150+5 4.250710-2890023546 1949 2.286410+5 3.430570-2 2.447070+5 2.702050-2 2.624580+5 2.112420-2890023546 1950 2.752930+5 1.786010-2 2.915270+5 1.460190-2 3.000000+5 1.320300-2890023546 1951 3.223710+5 1.037610-2 3.471900+5 8.093230-3 3.651980+5 6.831980-3890023546 1952 3.880460+5 5.575150-3 4.113140+5 4.612680-3 4.410200+5 3.703030-3890023546 1953 4.695850+5 3.038790-3 5.000000+5 2.493700-3 5.415170+5 1.956720-3890023546 1954 5.798350+5 1.589500-3 6.000000+5 1.432600-3 6.447420+5 1.166130-3890023546 1955 6.804750+5 9.993369-4 7.378210+5 7.927940-4 8.000000+5 6.289400-4890023546 1956 8.458970+5 5.447090-4 9.197270+5 4.390340-4 1.000000+6 3.538600-4890023546 1957 1.074770+6 3.071970-4 1.188630+6 2.524880-4 1.308290+6 2.102090-4890023546 1958 1.433160+6 1.772750-4 1.554920+6 1.528630-4 1.701190+6 1.305990-4890023546 1959 1.894980+6 1.081200-4 2.044000+6 9.484750-5 2.332190+6 7.677770-5890023546 1960 2.551640+6 6.647380-5 2.842410+6 5.591760-5 3.000000+6 5.128590-5890023546 1961 3.464100+6 4.145480-5 4.000000+6 3.350830-5 4.472140+6 2.866030-5890023546 1962 5.000000+6 2.451370-5 5.732660+6 2.039750-5 6.480740+6 1.735070-5890023546 1963 7.483310+6 1.441430-5 8.485280+6 1.230620-5 1.000000+7 1.005330-5890023546 1964 1.148910+7 8.510740-6 1.349070+7 7.041340-6 1.600000+7 5.783390-6890023546 1965 1.897370+7 4.767350-6 2.200000+7 4.042490-6 2.600000+7 3.363380-6890023546 1966 3.000000+7 2.879150-6 3.464100+7 2.468100-6 4.000000+7 2.115740-6890023546 1967 4.728710+7 1.772950-6 5.477230+7 1.519520-6 6.447420+7 1.282040-6890023546 1968 7.444840+7 1.104320-6 8.944271+7 9.138290-7 1.000000+8 8.147710-7890023546 1969 890023 0 1970 8.900000+4 2.250500+2 0 0 0 0890023547 1971 6.396200+2 8.933700-2 0 0 1 138890023547 1972 138 2 0 0 0 0890023547 1973 6.396200+2 0.000000+0 6.396200+2 3.419710+5 6.741600+2 3.703690+5890023547 1974 8.501650+2 3.658930+5 1.054990+3 3.216600+5 1.436020+3 2.270890+5890023547 1975 1.701190+3 1.746380+5 1.894980+3 1.464560+5 2.213360+3 1.106530+5890023547 1976 2.537230+3 8.468529+4 2.770580+3 7.018650+4 3.079090+3 5.602590+4890023547 1977 3.420000+3 4.430450+4 3.698650+3 3.689220+4 4.114680+3 2.861740+4890023547 1978 4.415980+3 2.396930+4 4.806800+3 1.937690+4 5.244950+3 1.546540+4890023547 1979 5.736950+3 1.218670+4 6.219690+3 9.776640+3 6.623670+3 8.189630+3890023547 1980 7.085681+3 6.773980+3 7.682820+3 5.394360+3 8.458970+3 4.077310+3890023547 1981 9.101571+3 3.278870+3 9.691081+3 2.720170+3 1.060430+4 2.056140+3890023547 1982 1.141650+4 1.626280+3 1.214380+4 1.336430+3 1.300860+4 1.074010+3890023547 1983 1.369730+4 9.116040+2 1.479930+4 7.128570+2 1.599000+4 5.574400+2890023547 1984 1.727150+4 4.303760+2 1.820360+4 3.607820+2 1.938880+4 2.919590+2890023547 1985 2.052290+4 2.430310+2 2.256620+4 1.800220+2 2.366300+4 1.521320+2890023547 1986 2.504970+4 1.243070+2 2.677050+4 9.742210+1 2.833930+4 7.864870+1890023547 1987 3.000000+4 6.349300+1 3.197810+4 5.021010+1 3.381560+4 4.088820+1890023547 1988 3.627750+4 3.157980+1 3.847530+4 2.543980+1 4.107990+4 1.999610+1890023547 1989 4.395060+4 1.559950+1 4.602210+4 1.317010+1 4.863720+4 1.074880+1890023547 1990 5.221370+4 8.236270+0 5.542310+4 6.565350+0 5.854120+4 5.332160+0890023547 1991 6.246270+4 4.167430+0 6.624730+4 3.332420+0 6.974640+4 2.740250+0890023547 1992 7.450910+4 2.131800+0 7.730070+4 1.853650+0 8.243990+4 1.451350+0890023547 1993 8.809779+4 1.127700+0 9.217660+4 9.494740-1 9.732110+4 7.723770-1890023547 1994 1.025670+5 6.327010-1 1.099690+5 4.855560-1 1.162780+5 3.928460-1890023547 1995 1.218350+5 3.290100-1 1.283370+5 2.700500-1 1.356890+5 2.185510-1890023547 1996 1.426650+5 1.806550-1 1.500000+5 1.493300-1 1.554920+5 1.306240-1890023547 1997 1.655920+5 1.033490-1 1.766950+5 8.117330-2 1.846890+5 6.884840-2890023547 1998 1.947600+5 5.650290-2 2.051330+5 4.675020-2 2.199390+5 3.643340-2890023547 1999 2.286410+5 3.171070-2 2.447070+5 2.487080-2 2.624580+5 1.935880-2890023547 2000 2.752930+5 1.631880-2 2.915270+5 1.329410-2 3.000000+5 1.199900-2890023547 2001 3.223710+5 9.431840-3 3.471900+5 7.358360-3 3.651980+5 6.212550-3890023547 2002 3.880460+5 5.070580-3 4.113140+5 4.198970-3 4.410200+5 3.377710-3890023547 2003 4.695850+5 2.776870-3 5.000000+5 2.282900-3 5.415170+5 1.802330-3890023547 2004 5.798350+5 1.471790-3 6.000000+5 1.330000-3 6.447420+5 1.093270-3890023547 2005 6.804750+5 9.438150-4 7.378210+5 7.570480-4 8.000000+5 6.072400-4890023547 2006 8.458970+5 5.282810-4 9.197270+5 4.286690-4 1.000000+6 3.478400-4890023547 2007 1.074770+6 3.019710-4 1.188630+6 2.481930-4 1.308290+6 2.066330-4890023547 2008 1.433160+6 1.742600-4 1.554920+6 1.502630-4 1.701190+6 1.283780-4890023547 2009 1.894980+6 1.062810-4 2.044000+6 9.323390-5 2.332190+6 7.547150-5890023547 2010 2.551640+6 6.534290-5 2.842410+6 5.496630-5 3.000000+6 5.041340-5890023547 2011 3.464100+6 4.074960-5 4.000000+6 3.293830-5 4.472140+6 2.817280-5890023547 2012 5.000000+6 2.409670-5 5.732660+6 2.005050-5 6.480740+6 1.705550-5890023547 2013 7.483310+6 1.416910-5 8.485280+6 1.209690-5 1.000000+7 9.882260-6890023547 2014 1.148910+7 8.365950-6 1.349070+7 6.921540-6 1.600000+7 5.685000-6890023547 2015 1.897370+7 4.686250-6 2.200000+7 3.973720-6 2.600000+7 3.306160-6890023547 2016 3.000000+7 2.830160-6 3.464100+7 2.426110-6 4.000000+7 2.079750-6890023547 2017 4.728710+7 1.742780-6 5.477230+7 1.493660-6 6.447420+7 1.260230-6890023547 2018 7.444840+7 1.085540-6 8.944271+7 8.982850-7 1.000000+8 8.009100-7890023547 2019 890023 0 2020 8.900000+4 2.250500+2 0 0 0 0890023548 2021 3.289000+2 3.963800-3 0 0 1 181890023548 2022 181 2 0 0 0 0890023548 2023 3.289000+2 0.000000+0 3.289000+2 6.074350+4 3.344780+2 7.843279+4890023548 2024 3.387240+2 9.500490+4 3.451940+2 1.266540+5 3.517880+2 1.688460+5890023548 2025 3.589190+2 2.237350+5 3.651460+2 2.847820+5 3.759810+2 4.146150+5890023548 2026 3.918280+2 6.598990+5 4.113140+2 1.016370+6 4.260010+2 1.258560+6890023548 2027 4.386950+2 1.433490+6 4.596760+2 1.636600+6 4.794140+2 1.737780+6890023548 2028 5.000000+2 1.779530+6 5.477230+2 1.760850+6 6.000000+2 1.641580+6890023548 2029 7.706820+2 1.133900+6 8.624010+2 9.112710+5 9.724569+2 7.029440+5890023548 2030 1.064030+3 5.695950+5 1.184220+3 4.380110+5 1.316140+3 3.324620+5890023548 2031 1.436020+3 2.624620+5 1.554920+3 2.098710+5 1.655920+3 1.745190+5890023548 2032 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7.006500+5 4.721830-2 7.576430+5 3.795740-2 7.646560+5 3.639000-2890027506 3064 7.761700+5 3.245980-2 8.076700+5 2.471940-2 8.510480+5 1.765700-2890027506 3065 8.944270+5 1.144930-2 9.590240+5 4.325940-3 1.000000+6 0.000000+0890027506 3066 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0890027506 3067 890027 0 3068 8900 0 0 3069 0 0 0 3070 9.000000+4 2.300450+2 -1 0 0 19000 1451 1 0.000000+0 0.000000+0 0 0 0 69000 1451 2 0.000000+0 0.000000+0 0 0 3 69000 1451 3 0.000000+0 0.000000+0 0 0 138 399000 1451 4 90-TH- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9000 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9000 1451 6 ----ENDF/B-VI MATERIAL 9000 9000 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9000 1451 8 ------ENDF-6 FORMAT 9000 1451 9 =================================================================9000 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9000 1451 11 ENDF/B-VI FORMAT 9000 1451 12 =================================================================9000 1451 13 CONTENTS 9000 1451 14 =================================================================9000 1451 15 MF/MT DESCRIPTION 9000 1451 16 =================================================================9000 1451 17 23/501 TOTAL CROSS SECTION 9000 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9000 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9000 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9000 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9000 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9000 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9000 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 45 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 46 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 47 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 48 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 49 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 50 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9000 1451 51 =================================================================9000 1451 52 27/502 COHERENT SCATTERING FORM FACTORS 9000 1451 53 27/504 INCOHERENT SCATTERING FUNCTIONS 9000 1451 54 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9000 1451 55 27/506 COHERENT REAL SCATTERING FACTOR 9000 1451 56 =================================================================9000 1451 57 WARNING 9000 1451 58 =================================================================9000 1451 59 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9000 1451 60 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9000 1451 61 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9000 1451 62 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9000 1451 63 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9000 1451 64 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9000 1451 65 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9000 1451 66 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9000 1451 67 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9000 1451 68 =================================================================9000 1451 69 DEFINITION OF NEW TYPES OF DATA 9000 1451 70 =================================================================9000 1451 71 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9000 1451 72 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9000 1451 73 9000 1451 74 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9000 1451 75 C2 FIELDS ARE, 9000 1451 76 9000 1451 77 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9000 1451 78 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9000 1451 79 9000 1451 80 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9000 1451 81 9000 1451 82 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9000 1451 83 9000 1451 84 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9000 1451 85 T = THE THOMSON CROSS SECTION 9000 1451 86 MU = THE COSINE OF THE SCATTERING ANGLE 9000 1451 87 FF(M) = THE ATOMIC FORM FACTOR 9000 1451 88 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9000 1451 89 F1(E) = THE REAL SCATTERING FACTOR 9000 1451 90 F2(E) = THE IMAGINARY SCATTERING FACTOR 9000 1451 91 9000 1451 92 F1(E) AND F2(E) ARE ISOTROPIC. 9000 1451 93 9000 1451 94 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9000 1451 95 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9000 1451 96 =================================================================9000 1451 97 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9000 1451 98 =================================================================9000 1451 99 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9000 1451 100 HERE - 10 EV TO 100 MEV 9000 1451 101 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9000 1451 102 - FLUORESCENCE AND ELECTRON SPECTRA 9000 1451 103 HERE - PHOTON INTERACTION 9000 1451 104 - AVERAGE FLUORESCENCE YIELD 9000 1451 105 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9000 1451 106 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9000 1451 107 HERE - NO SECONDARY ENERGY DATA 9000 1451 108 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9000 1451 109 INTERPOLABLE - SUMMATION CROSS SECTIONS 9000 1451 110 (E.G., TOTAL) ARE NOT INCLUDED 9000 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 9000 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9000 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9000 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 9000 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 9000 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 9000 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9000 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9000 1451 119 =================================================================9000 1451 120 REFERENCES 9000 1451 121 =================================================================9000 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9000 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9000 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9000 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9000 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9000 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9000 1451 128 9000 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9000 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9000 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9000 1451 132 OF THE DATA, ETC. 9000 1451 133 =================================================================9000 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9000 1451 135 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9000 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9000 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9000 1451 138 *RECONSTRUCTED MT NUMBERS 9000 1451 139 516 =+(515,515)+(517,517) 9000 1451 140 522 =+(534,572) 9000 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9000 1451 142 1 451 181 19000 1451 143 23 501 679 19000 1451 144 23 502 98 19000 1451 145 23 504 24 19000 1451 146 23 515 17 19000 1451 147 23 516 36 19000 1451 148 23 517 23 19000 1451 149 23 522 553 19000 1451 150 23 534 25 19000 1451 151 23 535 30 19000 1451 152 23 536 33 19000 1451 153 23 537 35 19000 1451 154 23 538 34 19000 1451 155 23 539 37 19000 1451 156 23 540 40 19000 1451 157 23 541 46 19000 1451 158 23 542 46 19000 1451 159 23 543 38 19000 1451 160 23 544 39 19000 1451 161 23 545 44 19000 1451 162 23 546 49 19000 1451 163 23 547 50 19000 1451 164 23 548 64 19000 1451 165 23 549 64 19000 1451 166 23 550 42 19000 1451 167 23 551 46 19000 1451 168 23 552 47 19000 1451 169 23 553 56 19000 1451 170 23 554 58 19000 1451 171 23 559 48 19000 1451 172 23 560 54 19000 1451 173 23 561 56 19000 1451 174 23 562 64 19000 1451 175 23 563 63 19000 1451 176 23 570 54 19000 1451 177 27 502 47 19000 1451 178 27 504 45 19000 1451 179 27 505 74 19000 1451 180 27 506 131 19000 1451 181 9000 1 0 182 9000 0 0 183 9.000000+4 2.300450+2 0 0 0 0900023501 184 0.000000+0 0.000000+0 0 0 1 2028900023501 185 2028 2 0 0 0 0900023501 186 1.000000+1 2.266370+7 1.075580+1 2.120650+7 1.134750+1 2.014020+7900023501 187 1.143200+1 1.998790+7 1.154780+1 1.978970+7 1.209330+1 1.885620+7900023501 188 1.223530+1 1.863470+7 1.224740+1 1.861670+7 1.312290+1 1.722630+7900023501 189 1.347820+1 1.667880+7 1.376470+1 1.623740+7 1.407860+1 1.576410+7900023501 190 1.457640+1 1.501350+7 1.462930+1 1.493490+7 1.500000+1 1.438420+7900023501 191 1.596800+1 1.289590+7 1.611850+1 1.266460+7 1.670870+1 1.176950+7900023501 192 1.688590+1 1.154940+7 1.735950+1 1.096120+7 1.742920+1 1.087570+7900023501 193 1.849780+1 9.565850+6 1.861210+1 9.425740+6 1.882240+1 9.201950+6900023501 194 1.929360+1 8.705710+6 1.963200+1 8.387220+6 1.988080+1 8.153060+6900023501 195 2.000000+1 8.040870+6 2.043510+1 7.635640+6 2.061770+1 7.465580+6900023501 196 2.113900+1 7.041210+6 2.114960+1 7.032640+6 2.125450+1 6.947780+6900023501 197 2.151620+1 6.759100+6 2.224670+1 6.232400+6 2.244480+1 6.110550+6900023501 198 2.297020+1 5.787400+6 2.309400+1 5.711840+6 2.327260+1 5.602830+6900023501 199 2.328520+1 5.595140+6 2.369790+1 5.373220+6 2.386310+1 5.284390+6900023501 200 2.403460+1 5.192170+6 2.422320+1 5.090760+6 2.436560+1 5.014190+6900023501 201 2.437220+1 5.010640+6 2.447650+1 4.962530+6 2.455360+1 4.926960+6900023501 202 2.462090+1 4.895920+6 2.469840+1 4.860170+6 2.478320+1 4.821060+6900023501 203 2.490700+1 4.763970+6 2.496000+1 4.739530+6 2.501000+1 4.716710+6900023501 204 2.501000+1 1.666370+7 2.505470+1 1.659270+7 2.510410+1 1.651420+7900023501 205 2.519540+1 1.636910+7 2.528290+1 1.623010+7 2.544630+1 1.597040+7900023501 206 2.551000+1 1.586920+7 2.585110+1 1.534320+7 2.620800+1 1.479290+7900023501 207 2.646120+1 1.440250+7 2.708190+1 1.348170+7 2.736420+1 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1.255490-5 3.000000+7 1.074540-5 3.464100+7 9.211150-6900023541 1904 4.000000+7 7.895970-6 4.728710+7 6.615840-6 5.477230+7 5.669630-6900023541 1905 6.447420+7 4.783720-6 7.444840+7 4.121290-6 8.944271+7 3.410380-6900023541 1906 1.000000+8 3.040450-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0900023541 1907 900023 0 1908 9.000000+4 2.300450+2 0 0 0 0900023542 1909 3.338600+3 2.751000-1 0 0 1 129900023542 1910 129 2 0 0 0 0900023542 1911 3.338600+3 0.000000+0 3.338600+3 3.152610+5 3.527000+3 2.683800+5900023542 1912 3.785990+3 2.244380+5 4.191170+3 1.718480+5 4.526760+3 1.378480+5900023542 1913 4.851720+3 1.130400+5 5.200000+3 9.269600+4 5.618500+3 7.330550+4900023542 1914 5.994550+3 6.023240+4 6.443030+3 4.839830+4 6.940690+3 3.862430+4900023542 1915 7.527530+3 3.019850+4 8.226281+3 2.296570+4 8.820401+3 1.837410+4900023542 1916 9.391701+3 1.503210+4 1.000000+4 1.229800+4 1.064030+4 9.980191+3900023542 1917 1.150430+4 7.674690+3 1.228100+4 6.160020+3 1.320800+4 4.822300+3900023542 1918 1.423720+4 3.746310+3 1.498450+4 3.153850+3 1.593330+4 2.565230+3900023542 1919 1.686210+4 2.110600+3 1.810990+4 1.639770+3 1.884420+4 1.424770+3900023542 1920 2.020180+4 1.114100+3 2.170420+4 8.645020+2 2.279220+4 7.272070+2900023542 1921 2.417000+4 5.909200+2 2.563890+4 4.769720+2 2.710470+4 3.877450+2900023542 1922 2.845580+4 3.234770+2 3.028890+4 2.563550+2 3.232890+4 2.010900+2900023542 1923 3.409640+4 1.649200+2 3.609750+4 1.333540+2 3.799870+4 1.101450+2900023542 1924 4.087590+4 8.372380+1 4.350240+4 6.593860+1 4.600450+4 5.321170+1900023542 1925 4.842670+4 4.370720+1 5.156270+4 3.436030+1 5.447280+4 2.783710+1900023542 1926 5.836760+4 2.136080+1 6.184060+4 1.711440+1 6.595190+4 1.337120+1900023542 1927 7.047830+4 1.036640+1 7.374130+4 8.714770+0 7.785690+4 7.076380+0900023542 1928 8.320560+4 5.481970+0 8.783079+4 4.451810+0 9.230050+4 3.677810+0900023542 1929 9.807650+4 2.911780+0 1.034260+5 2.373600+0 1.107220+5 1.826040+0900023542 1930 1.169300+5 1.480280+0 1.223930+5 1.241770+0 1.287770+5 1.021100+0900023542 1931 1.359880+5 8.279920-1 1.451760+5 6.438360-1 1.527210+5 5.308130-1900023542 1932 1.604630+5 4.411820-1 1.695460+5 3.590600-1 1.798500+5 2.879570-1900023542 1933 1.896570+5 2.360870-1 2.000000+5 1.935600-1 2.151150+5 1.490600-1900023542 1934 2.286410+5 1.197860-1 2.447070+5 9.389830-2 2.624580+5 7.304770-2900023542 1935 2.752930+5 6.155350-2 2.915270+5 5.012210-2 3.000000+5 4.522900-2900023542 1936 3.223710+5 3.551920-2 3.471900+5 2.768410-2 3.651980+5 2.335800-2900023542 1937 3.880460+5 1.904940-2 4.113140+5 1.576740-2 4.410200+5 1.268080-2900023542 1938 4.695850+5 1.042310-2 5.000000+5 8.567300-3 5.415170+5 6.761820-3900023542 1939 5.798350+5 5.520350-3 6.000000+5 4.987900-3 6.447420+5 4.094450-3900023542 1940 6.804750+5 3.531050-3 7.378210+5 2.827920-3 8.000000+5 2.264800-3900023542 1941 8.458970+5 1.967370-3 9.197270+5 1.592830-3 1.000000+6 1.289600-3900023542 1942 1.074770+6 1.119580-3 1.188630+6 9.203450-4 1.308290+6 7.662690-4900023542 1943 1.433160+6 6.461700-4 1.554920+6 5.571630-4 1.701190+6 4.760070-4900023542 1944 1.894980+6 3.940690-4 2.044000+6 3.456490-4 2.332190+6 2.797890-4900023542 1945 2.551640+6 2.422340-4 2.842410+6 2.037610-4 3.000000+6 1.868810-4900023542 1946 3.464100+6 1.510220-4 4.000000+6 1.220430-4 4.472140+6 1.043710-4900023542 1947 5.000000+6 8.925760-5 5.732660+6 7.425420-5 6.480740+6 6.315340-5900023542 1948 7.483310+6 5.246670-5 8.485280+6 4.478630-5 1.000000+7 3.657500-5900023542 1949 1.148910+7 3.095800-5 1.349070+7 2.561770-5 1.600000+7 2.103770-5900023542 1950 1.897370+7 1.734000-5 2.200000+7 1.469520-5 2.600000+7 1.223150-5900023542 1951 3.000000+7 1.046860-5 3.464100+7 8.973870-6 4.000000+7 7.692560-6900023542 1952 4.728710+7 6.445410-6 5.477230+7 5.523580-6 6.447420+7 4.660480-6900023542 1953 7.444840+7 4.015110-6 8.944271+7 3.322520-6 1.000000+8 2.962120-6900023542 1954 900023 0 1955 9.000000+4 2.300450+2 0 0 0 0900023543 1956 1.310600+3 5.798600-1 0 0 1 104900023543 1957 104 2 0 0 0 0900023543 1958 1.310600+3 0.000000+0 1.310600+3 3.127380+4 1.530600+3 2.579720+4900023543 1959 1.742080+3 2.211280+4 2.034970+3 1.847250+4 2.424530+3 1.478740+4900023543 1960 2.806180+3 1.212070+4 3.247900+3 9.934970+3 3.646220+3 8.302731+3900023543 1961 3.976710+3 7.257070+3 4.529440+3 5.930241+3 5.159000+3 4.846000+3900023543 1962 5.757010+3 4.020770+3 6.250580+3 3.495450+3 7.071390+3 2.833310+3900023543 1963 8.000000+3 2.296600+3 9.012220+3 1.846270+3 1.019040+4 1.474160+3900023543 1964 1.108080+4 1.264430+3 1.225260+4 1.051760+3 1.382720+4 8.356770+2900023543 1965 1.552610+4 6.664700+2 1.706730+4 5.540340+2 1.888870+4 4.545280+2900023543 1966 2.069360+4 3.803490+2 2.349000+4 2.953290+2 2.589790+4 2.404030+2900023543 1967 2.887110+4 1.911690+2 3.229520+4 1.509330+2 3.485970+4 1.284720+2900023543 1968 3.820740+4 1.058850+2 4.284300+4 8.244400+1 4.670770+4 6.796320+1900023543 1969 5.020890+4 5.781840+1 5.441780+4 4.829250+1 5.931950+4 3.982070+1900023543 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2.108820-2 1.894980+6 1.745810-2900023543 1983 2.044000+6 1.531300-2 2.332190+6 1.239520-2 2.551640+6 1.073150-2900023543 1984 2.842410+6 9.027080-3 3.000000+6 8.279240-3 3.464100+6 6.690590-3900023543 1985 4.000000+6 5.406780-3 4.472140+6 4.623850-3 5.000000+6 3.954300-3900023543 1986 5.732660+6 3.289610-3 6.480740+6 2.797830-3 7.483310+6 2.324380-3900023543 1987 8.485280+6 1.984120-3 1.000000+7 1.620350-3 1.148910+7 1.371500-3900023543 1988 1.349070+7 1.134920-3 1.600000+7 9.320160-4 1.897370+7 7.682000-4900023543 1989 2.200000+7 6.510270-4 2.600000+7 5.418810-4 3.000000+7 4.637820-4900023543 1990 3.464100+7 3.975620-4 4.000000+7 3.407970-4 4.728710+7 2.855460-4900023543 1991 5.477230+7 2.447060-4 6.447420+7 2.064690-4 7.444840+7 1.778780-4900023543 1992 8.944271+7 1.471940-4 1.000000+8 1.312280-4 0.000000+0 0.000000+0900023543 1993 900023 0 1994 9.000000+4 2.300450+2 0 0 0 0900023544 1995 1.162300+3 4.453400-1 0 0 1 107900023544 1996 107 2 0 0 0 0900023544 1997 1.162300+3 0.000000+0 1.162300+3 2.794190+4 1.311000+3 2.573700+4900023544 1998 2.643980+3 1.562190+4 3.086620+3 1.303360+4 3.618990+3 1.060470+4900023544 1999 4.090970+3 8.915630+3 4.820630+3 7.006090+3 5.348160+3 5.917670+3900023544 2000 6.057950+3 4.832370+3 6.997221+3 3.764700+3 7.911070+3 3.013540+3900023544 2001 8.944270+3 2.412260+3 1.007390+4 1.904750+3 1.092480+4 1.621410+3900023544 2002 1.204130+4 1.336460+3 1.329060+4 1.089150+3 1.450760+4 9.015990+2900023544 2003 1.593550+4 7.363340+2 1.734030+4 6.136630+2 1.954080+4 4.722350+2900023544 2004 2.132660+4 3.868920+2 2.307310+4 3.233540+2 2.570910+4 2.513540+2900023544 2005 2.787930+4 2.059260+2 3.051240+4 1.649290+2 3.348850+4 1.311810+2900023544 2006 3.568240+4 1.122230+2 3.850570+4 9.305340+1 4.207960+4 7.430010+1900023544 2007 4.598240+4 5.903640+1 5.038660+4 4.657250+1 5.362900+4 3.961950+1900023544 2008 5.779640+4 3.263200+1 6.264590+4 2.634200+1 6.792550+4 2.114860+1900023544 2009 7.290890+4 1.745170+1 7.984360+4 1.363790+1 8.398700+4 1.188830+1900023544 2010 9.176190+4 9.349050+0 1.005340+5 7.297190+0 1.069920+5 6.162880+0900023544 2011 1.152900+5 5.031960+0 1.255540+5 3.983290+0 1.369760+5 3.132200+0900023544 2012 1.482340+5 2.518480+0 1.588420+5 2.080970+0 1.735760+5 1.628970+0900023544 2013 1.823640+5 1.421330+0 1.988270+5 1.119600+0 2.173630+5 8.753650-1900023544 2014 2.309830+5 7.401540-1 2.484570+5 6.051760-1 2.648640+5 5.086660-1900023544 2015 2.856580+5 4.160810-1 3.107420+5 3.326660-1 3.389190+5 2.641210-1900023544 2016 3.595810+5 2.256730-1 3.860460+5 1.868500-1 4.102660+5 1.596210-1900023544 2017 4.398770+5 1.341870-1 4.753750+5 1.106020-1 5.165930+5 8.991320-2900023544 2018 5.567370+5 7.462360-2 6.000000+5 6.193400-2 6.623670+5 4.925450-2900023544 2019 7.085680+5 4.213240-2 7.682820+5 3.493180-2 8.226280+5 2.994720-2900023544 2020 8.820400+5 2.575950-2 9.590240+5 2.149990-2 1.022000+6 1.880780-2900023544 2021 1.130270+6 1.546080-2 1.250000+6 1.270950-2 1.369310+6 1.071750-2900023544 2022 1.500000+6 9.037750-3 1.701190+6 7.250120-3 1.894980+6 6.002100-3900023544 2023 2.044000+6 5.264610-3 2.332190+6 4.261480-3 2.551640+6 3.689490-3900023544 2024 2.842410+6 3.103510-3 3.000000+6 2.846400-3 3.464100+6 2.300220-3900023544 2025 4.000000+6 1.858850-3 4.472140+6 1.589680-3 5.000000+6 1.359490-3900023544 2026 5.732660+6 1.130970-3 6.480740+6 9.618950-4 7.483310+6 7.991240-4900023544 2027 8.485280+6 6.821430-4 1.000000+7 5.570760-4 1.148910+7 4.715230-4900023544 2028 1.349070+7 3.901850-4 1.600000+7 3.204270-4 1.897370+7 2.641080-4900023544 2029 2.200000+7 2.238230-4 2.600000+7 1.862990-4 3.000000+7 1.594480-4900023544 2030 3.464100+7 1.366820-4 4.000000+7 1.171660-4 4.728710+7 9.817050-5900023544 2031 5.477230+7 8.413000-5 6.447420+7 7.098410-5 7.444840+7 6.115450-5900023544 2032 8.944271+7 5.060550-5 1.000000+8 4.511630-5 0.000000+0 0.000000+0900023544 2033 900023 0 2034 9.000000+4 2.300450+2 0 0 0 0900023545 2035 9.561600+2 3.970300-1 0 0 1 121900023545 2036 121 2 0 0 0 0900023545 2037 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69100 1451 3 0.000000+0 0.000000+0 0 0 140 419100 1451 4 91-PA- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9100 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9100 1451 6 ----ENDF/B-VI MATERIAL 9100 9100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9100 1451 8 ------ENDF-6 FORMAT 9100 1451 9 =================================================================9100 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9100 1451 11 ENDF/B-VI FORMAT 9100 1451 12 =================================================================9100 1451 13 CONTENTS 9100 1451 14 =================================================================9100 1451 15 MF/MT DESCRIPTION 9100 1451 16 =================================================================9100 1451 17 23/501 TOTAL CROSS SECTION 9100 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9100 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9100 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9100 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9100 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9100 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9100 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 50 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 51 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 52 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9100 1451 53 =================================================================9100 1451 54 27/502 COHERENT SCATTERING FORM FACTORS 9100 1451 55 27/504 INCOHERENT SCATTERING FUNCTIONS 9100 1451 56 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9100 1451 57 27/506 COHERENT REAL SCATTERING FACTOR 9100 1451 58 =================================================================9100 1451 59 WARNING 9100 1451 60 =================================================================9100 1451 61 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9100 1451 62 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9100 1451 63 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9100 1451 64 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9100 1451 65 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9100 1451 66 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9100 1451 67 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9100 1451 68 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9100 1451 69 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9100 1451 70 =================================================================9100 1451 71 DEFINITION OF NEW TYPES OF DATA 9100 1451 72 =================================================================9100 1451 73 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9100 1451 74 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9100 1451 75 9100 1451 76 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9100 1451 77 C2 FIELDS ARE, 9100 1451 78 9100 1451 79 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9100 1451 80 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9100 1451 81 9100 1451 82 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9100 1451 83 9100 1451 84 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9100 1451 85 9100 1451 86 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9100 1451 87 T = THE THOMSON CROSS SECTION 9100 1451 88 MU = THE COSINE OF THE SCATTERING ANGLE 9100 1451 89 FF(M) = THE ATOMIC FORM FACTOR 9100 1451 90 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9100 1451 91 F1(E) = THE REAL SCATTERING FACTOR 9100 1451 92 F2(E) = THE IMAGINARY SCATTERING FACTOR 9100 1451 93 9100 1451 94 F1(E) AND F2(E) ARE ISOTROPIC. 9100 1451 95 9100 1451 96 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9100 1451 97 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9100 1451 98 =================================================================9100 1451 99 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9100 1451 100 =================================================================9100 1451 101 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9100 1451 102 HERE - 10 EV TO 100 MEV 9100 1451 103 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9100 1451 104 - FLUORESCENCE AND ELECTRON SPECTRA 9100 1451 105 HERE - PHOTON INTERACTION 9100 1451 106 - AVERAGE FLUORESCENCE YIELD 9100 1451 107 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9100 1451 108 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9100 1451 109 HERE - NO SECONDARY ENERGY DATA 9100 1451 110 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9100 1451 111 INTERPOLABLE - SUMMATION CROSS SECTIONS 9100 1451 112 (E.G., TOTAL) ARE NOT INCLUDED 9100 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 9100 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9100 1451 115 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9100 1451 116 ORDER TO ALLOW CROSS SECTIONS DEFINED 9100 1451 117 BY SUMMATION (E.G., TOTAL) TO BE 9100 1451 118 CONSISTENTLY DEFINED AT ALL ENERGIES. 9100 1451 119 - FORM FACTORS ARE LOG X VS. LOG Y 9100 1451 120 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9100 1451 121 =================================================================9100 1451 122 REFERENCES 9100 1451 123 =================================================================9100 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9100 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9100 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9100 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9100 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9100 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9100 1451 130 9100 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9100 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9100 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9100 1451 134 OF THE DATA, ETC. 9100 1451 135 =================================================================9100 1451 136 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9100 1451 137 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9100 1451 138 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9100 1451 139 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9100 1451 140 *RECONSTRUCTED MT NUMBERS 9100 1451 141 516 =+(515,515)+(517,517) 9100 1451 142 522 =+(534,572) 9100 1451 143 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9100 1451 144 1 451 185 19100 1451 145 23 501 738 19100 1451 146 23 502 99 19100 1451 147 23 504 24 19100 1451 148 23 515 17 19100 1451 149 23 516 36 19100 1451 150 23 517 23 19100 1451 151 23 522 610 19100 1451 152 23 534 25 19100 1451 153 23 535 30 19100 1451 154 23 536 33 19100 1451 155 23 537 35 19100 1451 156 23 538 35 19100 1451 157 23 539 36 19100 1451 158 23 540 39 19100 1451 159 23 541 46 19100 1451 160 23 542 46 19100 1451 161 23 543 38 19100 1451 162 23 544 38 19100 1451 163 23 545 43 19100 1451 164 23 546 48 19100 1451 165 23 547 49 19100 1451 166 23 548 63 19100 1451 167 23 549 64 19100 1451 168 23 550 42 19100 1451 169 23 551 45 19100 1451 170 23 552 47 19100 1451 171 23 553 55 19100 1451 172 23 554 58 19100 1451 173 23 555 76 19100 1451 174 23 556 75 19100 1451 175 23 559 48 19100 1451 176 23 560 54 19100 1451 177 23 561 56 19100 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6.756010+6 1.689290+1 6.754170+6910023501 199 1.701190+1 6.722740+6 1.844550+1 6.363720+6 1.861210+1 6.324050+6910023501 200 1.905860+1 6.248260+6 1.929360+1 6.208370+6 1.988080+1 6.134070+6910023501 201 2.000000+1 6.118990+6 2.022170+1 6.093380+6 2.058440+1 6.051490+6910023501 202 2.062500+1 6.047440+6 2.096350+1 6.013650+6 2.099780+1 6.010220+6910023501 203 2.125110+1 6.007870+6 2.157600+1 6.004860+6 2.177870+1 6.002980+6910023501 204 2.192970+1 6.002400+6 2.225290+1 6.001150+6 2.258090+1 5.999880+6910023501 205 2.279480+1 5.999060+6 2.294170+1 5.998490+6 2.309400+1 5.997910+6910023501 206 2.311940+1 5.997810+6 2.314530+1 5.997710+6 2.320870+1 6.001630+6910023501 207 2.331380+1 6.008130+6 2.338710+1 6.012670+6 2.342870+1 6.015240+6910023501 208 2.347290+1 6.018160+6 2.355160+1 6.023360+6 2.367120+1 6.031270+6910023501 209 2.372230+1 6.034650+6 2.382000+1 6.041110+6 2.382000+1 2.158740+7910023501 210 2.388320+1 2.147670+7 2.398230+1 2.130310+7 2.407530+1 2.114020+7910023501 211 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1.819030-3 3.464100+7 1.559140-3910023538 1900 4.000000+7 1.336380-3 4.728710+7 1.119790-3 5.477230+7 9.596870-4910023538 1901 6.447420+7 8.096760-4 7.444840+7 6.974240-4 8.944271+7 5.771280-4910023538 1902 1.000000+8 5.145820-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0910023538 1903 910023 0 1904 9.100000+4 2.290510+2 0 0 0 0910023539 1905 5.001800+3 1.365300+2 0 0 1 98910023539 1906 98 2 0 0 0 0910023539 1907 5.001800+3 0.000000+0 5.001800+3 2.042450+4 6.447420+3 1.528530+4910023539 1908 7.859721+3 1.122640+4 8.565680+3 9.721441+3 9.497020+3 8.179340+3910023539 1909 1.106680+4 6.163530+3 1.194100+4 5.318550+3 1.338340+4 4.263220+3910023539 1910 1.500000+4 3.417300+3 1.637240+4 2.826080+3 1.748350+4 2.450810+3910023539 1911 1.929310+4 1.979230+3 2.129000+4 1.598400+3 2.319590+4 1.307150+3910023539 1912 2.473660+4 1.124110+3 2.724150+4 8.964570+2 3.000000+4 7.149100+2910023539 1913 3.311840+4 5.595500+2 3.542840+4 4.734620+2 3.841410+4 3.874540+2910023539 1914 4.207960+4 3.072900+2 4.598240+4 2.440920+2 5.038660+4 1.925010+2910023539 1915 5.362900+4 1.637290+2 5.779640+4 1.348200+2 6.245590+4 1.096900+2910023539 1916 6.733480+4 8.939041+1 7.191560+4 7.473490+1 7.825370+4 5.939130+1910023539 1917 8.546760+4 4.672260+1 9.184960+4 3.840900+1 9.921729+4 3.113600+1910023539 1918 1.063520+5 2.577550+1 1.140000+5 2.133800+1 1.222980+5 1.756370+1910023539 1919 1.335990+5 1.374930+1 1.438560+5 1.120170+1 1.562080+5 8.916100+0910023539 1920 1.700580+5 7.046410+0 1.801990+5 6.001800+0 1.931690+5 4.950600+0910023539 1921 2.103980+5 3.916250+0 2.299120+5 3.075480+0 2.519330+5 2.397040+0910023539 1922 2.681450+5 2.022450+0 2.889820+5 1.649370+0 3.109840+5 1.354840+0910023539 1923 3.402370+5 1.069080+0 3.689100+5 8.638150-1 4.000000+5 6.979600-1910023539 1924 4.229490+5 6.058200-1 4.598630+5 4.899060-1 5.000000+5 3.961700-1910023539 1925 5.477230+5 3.172300-1 6.000000+5 2.540200-1 6.623670+5 2.020340-1910023539 1926 7.085680+5 1.728310-1 7.682820+5 1.433040-1 8.226280+5 1.228600-1910023539 1927 8.820400+5 1.056800-1 9.590240+5 8.820510-2 1.022000+6 7.716370-2910023539 1928 1.130270+6 6.343730-2 1.250000+6 5.215270-2 1.369310+6 4.397810-2910023539 1929 1.500000+6 3.708480-2 1.701190+6 2.974690-2 1.894980+6 2.462450-2910023539 1930 2.044000+6 2.159710-2 2.332190+6 1.747850-2 2.551640+6 1.513050-2910023539 1931 2.842410+6 1.272540-2 3.000000+6 1.167020-2 3.464100+6 9.430310-3910023539 1932 4.000000+6 7.620330-3 4.472140+6 6.516640-3 5.000000+6 5.572800-3910023539 1933 5.732660+6 4.635070-3 6.480740+6 3.941950-3 7.483310+6 3.274120-3910023539 1934 8.485280+6 2.794200-3 1.000000+7 2.282390-3 1.148910+7 1.931140-3910023539 1935 1.349070+7 1.597720-3 1.600000+7 1.311490-3 1.897370+7 1.081590-3910023539 1936 2.200000+7 9.168290-4 2.600000+7 7.625980-4 3.000000+7 6.527560-4910023539 1937 3.464100+7 5.594960-4 4.000000+7 4.795600-4 4.728710+7 4.018380-4910023539 1938 5.477230+7 3.443830-4 6.447420+7 2.905510-4 7.444840+7 2.502700-4910023539 1939 8.944271+7 2.071010-4 1.000000+8 1.846570-4 0.000000+0 0.000000+0910023539 1940 910023 0 1941 9.100000+4 2.290510+2 0 0 0 0910023540 1942 4.159400+3 4.620900+1 0 0 1 107910023540 1943 107 2 0 0 0 0910023540 1944 4.159400+3 0.000000+0 4.159400+3 7.422229+4 4.802320+3 5.917130+4910023540 1945 5.337800+3 4.904870+4 5.906010+3 4.031300+4 6.582090+3 3.267220+4910023540 1946 7.256500+3 2.704200+4 8.226281+3 2.109290+4 9.197270+3 1.663730+4910023540 1947 1.000000+4 1.392500+4 1.106680+4 1.102740+4 1.228630+4 8.669281+3910023540 1948 1.319400+4 7.357670+3 1.437210+4 6.042950+3 1.567120+4 4.910730+3910023540 1949 1.691880+4 4.057620+3 1.836600+4 3.307320+3 1.977400+4 2.751450+3910023540 1950 2.129000+4 2.289000+3 2.319590+4 1.824070+3 2.534030+4 1.443300+3910023540 1951 2.691500+4 1.230340+3 2.893420+4 1.015850+3 3.109840+4 8.354640+2910023540 1952 3.402370+4 6.511360+2 3.689100+4 5.202850+2 4.000000+4 4.157300+2910023540 1953 4.302310+4 3.367840+2 4.572820+4 2.823600+2 4.894130+4 2.320360+2910023540 1954 5.263490+4 1.880270+2 5.619690+4 1.556030+2 6.000000+4 1.287700+2910023540 1955 6.501230+4 1.010600+2 6.974040+4 8.175160+1 7.415860+4 6.790850+1910023540 1956 8.011560+4 5.377500+1 8.546760+4 4.423440+1 9.184960+4 3.558770+1910023540 1957 9.694700+4 3.023120+1 1.051280+5 2.366950+1 1.140000+5 1.853200+1910023540 1958 1.222980+5 1.493840+1 1.300530+5 1.237050+1 1.405100+5 9.757810+0910023540 1959 1.499050+5 8.000490+0 1.611090+5 6.413290+0 1.735410+5 5.105570+0910023540 1960 1.881990+5 3.981110+0 2.000000+5 3.303500+0 2.151150+5 2.654700+0910023540 1961 2.286410+5 2.210750+0 2.447070+5 1.803160+0 2.631750+5 1.449450+0910023540 1962 2.809850+5 1.190850+0 3.000000+5 9.783900-1 3.223710+5 7.953110-1910023540 1963 3.402370+5 6.808560-1 3.689100+5 5.393030-1 4.000000+5 4.271800-1910023540 1964 4.229490+5 3.663320-1 4.598630+5 2.909190-1 5.000000+5 2.310300-1910023540 1965 5.477230+5 1.817870-1 6.000000+5 1.430400-1 6.623670+5 1.118790-1910023540 1966 7.085680+5 9.462260-2 7.682820+5 7.739070-2 8.226280+5 6.562690-2910023540 1967 8.820400+5 5.587240-2 9.590240+5 4.606120-2 1.022000+6 4.004740-2910023540 1968 1.130270+6 3.292350-2 1.250000+6 2.706690-2 1.369310+6 2.282430-2910023540 1969 1.500000+6 1.924670-2 1.701190+6 1.543840-2 1.894980+6 1.277990-2910023540 1970 2.044000+6 1.120880-2 2.332190+6 9.071270-3 2.551640+6 7.852630-3910023540 1971 2.842410+6 6.604370-3 3.000000+6 6.056750-3 3.464100+6 4.894270-3910023540 1972 4.000000+6 3.954900-3 4.472140+6 3.382090-3 5.000000+6 2.892240-3910023540 1973 5.732660+6 2.405570-3 6.480740+6 2.045850-3 7.483310+6 1.699250-3910023540 1974 8.485280+6 1.450170-3 1.000000+7 1.184540-3 1.148910+7 1.002250-3910023540 1975 1.349070+7 8.292020-4 1.600000+7 6.806510-4 1.897370+7 5.613360-4910023540 1976 2.200000+7 4.758280-4 2.600000+7 3.957830-4 3.000000+7 3.387760-4910023540 1977 3.464100+7 2.903740-4 4.000000+7 2.488880-4 4.728710+7 2.085510-4910023540 1978 5.477230+7 1.787320-4 6.447420+7 1.507940-4 7.444840+7 1.298880-4910023540 1979 8.944271+7 1.074840-4 1.000000+8 9.583570-5 0.000000+0 0.000000+0910023540 1980 910023 0 1981 9.100000+4 2.290510+2 0 0 0 0910023541 1982 3.616100+3 1.528300+2 0 0 1 127910023541 1983 127 2 0 0 0 0910023541 1984 3.616100+3 0.000000+0 3.616100+3 1.944580+5 3.900360+3 1.587190+5910023541 1985 4.283170+3 1.243560+5 4.556200+3 1.045810+5 4.880790+3 8.623579+4910023541 1986 5.254260+3 7.013600+4 5.614770+3 5.823290+4 6.000000+3 4.835000+4910023541 1987 6.447420+3 3.901490+4 6.804750+3 3.321670+4 7.378210+3 2.609420+4910023541 1988 8.000000+3 2.049900+4 8.637790+3 1.615270+4 9.101571+3 1.373050+4910023541 1989 9.691081+3 1.129840+4 1.033190+4 9.209861+3 1.098410+4 7.537030+3910023541 1990 1.188180+4 5.827500+3 1.265290+4 4.743070+3 1.333660+4 3.992250+3910023541 1991 1.414160+4 3.295110+3 1.505810+4 2.682680+3 1.623660+4 2.096090+3910023541 1992 1.735890+4 1.676600+3 1.867170+4 1.305960+3 1.993790+4 1.042990+3910023541 1993 2.129000+4 8.329700+2 2.264330+4 6.702630+2 2.384180+4 5.587920+2910023541 1994 2.525140+4 4.563290+2 2.685420+4 3.673010+2 2.838350+4 3.021280+2910023541 1995 3.000000+4 2.485200+2 3.197810+4 1.969890+2 3.381560+4 1.607450+2910023541 1996 3.627750+4 1.244700+2 3.847530+4 1.004860+2 4.107990+4 7.917330+1910023541 1997 4.395060+4 6.191820+1 4.602210+4 5.236330+1 4.863720+4 4.282300+1910023541 1998 5.221370+4 3.295590+1 5.542310+4 2.639060+1 5.854120+4 2.152390+1910023541 1999 6.259340+4 1.677510+1 6.636860+4 1.348790+1 6.985820+4 1.114450+1910023541 2000 7.450910+4 8.766170+0 7.863900+4 7.170620+0 8.350810+4 5.733080+0910023541 2001 8.884529+4 4.551800+0 9.505740+4 3.538900+0 1.000000+5 2.930100+0910023541 2002 1.051990+5 2.427400+0 1.121240+5 1.915700+0 1.182690+5 1.571370+0910023541 2003 1.255090+5 1.260220+0 1.312290+5 1.068010+0 1.403010+5 8.332360-1910023541 2004 1.500000+5 6.500700-1 1.604630+5 5.086410-1 1.695460+5 4.162910-1910023541 2005 1.798500+5 3.358670-1 1.896570+5 2.768600-1 2.000000+5 2.282200-1910023541 2006 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2.364950+4-4.885960+0 2.401470+4-4.427310+0910027506 3432 2.473660+4-3.632310+0 2.534030+4-3.075320+0 2.580730+4-2.741880+0910027506 3433 2.714670+4-1.948790+0 2.760830+4-1.721050+0 2.838350+4-1.447150+0910027506 3434 2.939890+4-1.079800+0 2.970840+4-9.795560-1 3.046430+4-8.216280-1910027506 3435 3.149940+4-5.971380-1 3.237410+4-4.330800-1 3.267490+4-3.882270-1910027506 3436 3.288400+4-3.705490-1 3.311840+4-3.525980-1 3.381560+4-2.808770-1910027506 3437 3.444870+4-2.109760-1 3.501920+4-1.601390-1 3.520160+4-1.467620-1910027506 3438 3.566570+4-1.318370-1 3.627750+4-9.377310-2 3.694500+4-4.888990-2910027506 3439 3.766320+4-1.197310-2 3.793150+4-9.098340-4 3.800940+4 2.323380-3910027506 3440 3.820030+4 9.886140-3 3.834550+4 1.341320-2 3.847530+4 1.610880-2910027506 3441 3.856210+4 1.820920-2 3.868160+4 1.792420-2 3.886170+4 1.806170-2910027506 3442 3.967540+4 3.020180-2 4.049960+4 4.322970-2 4.115700+4 5.472690-2910027506 3443 4.221590+4 6.221600-2 4.323620+4 5.817100-2 4.395060+4 5.380030-2910027506 3444 4.484950+4 5.036590-2 4.604070+4 4.337220-2 4.661700+4 3.754300-2910027506 3445 4.749920+4 1.727490-2 4.797640+4 4.264090-3 4.821930+4-2.854540-4910027506 3446 4.866490+4-1.006850-2 4.894130+4-1.560300-2 4.964780+4-2.908470-2910027506 3447 5.056600+4-4.920260-2 5.171990+4-7.730910-2 5.186070+4-8.089570-2910027506 3448 5.250810+4-1.007890-1 5.307650+4-1.215650-1 5.607210+4-2.261550-1910027506 3449 5.789260+4-2.866940-1 6.132610+4-3.972060-1 6.231720+4-4.379470-1910027506 3450 6.444810+4-5.226090-1 6.851510+4-6.704070-1 7.199110+4-8.078150-1910027506 3451 7.450910+4-9.004240-1 8.088460+4-1.178460+0 8.350810+4-1.295360+0910027506 3452 8.972229+4-1.615590+0 9.778210+4-2.146470+0 1.031340+5-2.679570+0910027506 3453 1.060220+5-3.121690+0 1.087520+5-3.756280+0 1.098280+5-4.160360+0910027506 3454 1.105900+5-4.577550+0 1.110190+5-4.899370+0 1.113440+5-5.196530+0910027506 3455 1.115310+5-5.386610+0 1.118010+5-5.677060+0 1.119560+5-5.845890+0910027506 3456 1.121530+5-6.052180+0 1.123710+5-6.255100+0 1.126140+5-6.432460+0910027506 3457 1.131050+5-6.547920+0 1.135960+5-6.341830+0 1.138560+5-6.088570+0910027506 3458 1.143540+5-5.545250+0 1.148220+5-5.011690+0 1.153210+5-4.519250+0910027506 3459 1.158720+5-4.101110+0 1.170040+5-3.537020+0 1.189850+5-2.881590+0910027506 3460 1.220820+5-2.213670+0 1.251200+5-1.763950+0 1.279690+5-1.446880+0910027506 3461 1.307670+5-1.207110+0 1.365090+5-8.224480-1 1.394030+5-6.650230-1910027506 3462 1.426650+5-5.361130-1 1.505190+5-2.750660-1 1.594970+5-8.816380-2910027506 3463 1.609190+5-5.732460-2 1.627780+5-2.440270-2 1.666630+5 4.497190-2910027506 3464 1.737180+5 1.067640-1 1.777610+5 1.439420-1 1.824110+5 1.756500-1910027506 3465 1.885670+5 2.271870-1 1.918090+5 2.484700-1 1.935160+5 2.555500-1910027506 3466 1.962760+5 2.554280-1 2.077570+5 3.050890-1 2.123570+5 3.190430-1910027506 3467 2.141850+5 3.196630-1 2.160760+5 3.168250-1 2.271980+5 3.312590-1910027506 3468 2.318860+5 3.269250-1 2.453900+5 3.374590-1 2.512940+5 3.291400-1910027506 3469 2.631750+5 3.261650-1 2.686010+5 3.173180-1 2.835260+5 3.116810-1910027506 3470 2.872260+5 3.037510-1 3.085370+5 2.913070-1 3.727160+5 2.279560-1910027506 3471 3.965890+5 2.080450-1 4.028110+5 1.972880-1 4.507190+5 1.617470-1910027506 3472 5.302550+5 1.155430-1 5.798350+5 9.349090-2 6.106770+5 7.623700-2910027506 3473 6.580760+5 6.189720-2 6.682850+5 5.701410-2 7.348570+5 4.216620-2910027506 3474 7.415350+5 3.987520-2 7.839000+5 3.150820-2 7.882830+5 3.018700-2910027506 3475 8.238920+5 2.379330-2 8.619970+5 1.760750-2 8.973840+5 1.257400-2910027506 3476 9.590240+5 4.827700-3 9.821160+5 2.079420-3 1.000000+6 0.000000+0910027506 3477 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0910027506 3478 910027 0 3479 9100 0 0 3480 0 0 0 3481 9.200000+4 2.359840+2 -1 0 0 19200 1451 1 0.000000+0 0.000000+0 0 0 0 69200 1451 2 0.000000+0 0.000000+0 0 0 3 69200 1451 3 0.000000+0 0.000000+0 0 0 140 419200 1451 4 92-U - 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9200 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9200 1451 6 ----ENDF/B-VI MATERIAL 9200 9200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9200 1451 8 ------ENDF-6 FORMAT 9200 1451 9 =================================================================9200 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9200 1451 11 ENDF/B-VI FORMAT 9200 1451 12 =================================================================9200 1451 13 CONTENTS 9200 1451 14 =================================================================9200 1451 15 MF/MT DESCRIPTION 9200 1451 16 =================================================================9200 1451 17 23/501 TOTAL CROSS SECTION 9200 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9200 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9200 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9200 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9200 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9200 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9200 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 50 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 51 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 52 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9200 1451 53 =================================================================9200 1451 54 27/502 COHERENT SCATTERING FORM FACTORS 9200 1451 55 27/504 INCOHERENT SCATTERING FUNCTIONS 9200 1451 56 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9200 1451 57 27/506 COHERENT REAL SCATTERING FACTOR 9200 1451 58 =================================================================9200 1451 59 WARNING 9200 1451 60 =================================================================9200 1451 61 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9200 1451 62 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9200 1451 63 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9200 1451 64 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9200 1451 65 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9200 1451 66 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9200 1451 67 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9200 1451 68 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9200 1451 69 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9200 1451 70 =================================================================9200 1451 71 DEFINITION OF NEW TYPES OF DATA 9200 1451 72 =================================================================9200 1451 73 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9200 1451 74 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9200 1451 75 9200 1451 76 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9200 1451 77 C2 FIELDS ARE, 9200 1451 78 9200 1451 79 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9200 1451 80 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9200 1451 81 9200 1451 82 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9200 1451 83 9200 1451 84 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9200 1451 85 9200 1451 86 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9200 1451 87 T = THE THOMSON CROSS SECTION 9200 1451 88 MU = THE COSINE OF THE SCATTERING ANGLE 9200 1451 89 FF(M) = THE ATOMIC FORM FACTOR 9200 1451 90 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9200 1451 91 F1(E) = THE REAL SCATTERING FACTOR 9200 1451 92 F2(E) = THE IMAGINARY SCATTERING FACTOR 9200 1451 93 9200 1451 94 F1(E) AND F2(E) ARE ISOTROPIC. 9200 1451 95 9200 1451 96 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9200 1451 97 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9200 1451 98 =================================================================9200 1451 99 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9200 1451 100 =================================================================9200 1451 101 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9200 1451 102 HERE - 10 EV TO 100 MEV 9200 1451 103 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9200 1451 104 - FLUORESCENCE AND ELECTRON SPECTRA 9200 1451 105 HERE - PHOTON INTERACTION 9200 1451 106 - AVERAGE FLUORESCENCE YIELD 9200 1451 107 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9200 1451 108 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9200 1451 109 HERE - NO SECONDARY ENERGY DATA 9200 1451 110 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9200 1451 111 INTERPOLABLE - SUMMATION CROSS SECTIONS 9200 1451 112 (E.G., TOTAL) ARE NOT INCLUDED 9200 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 9200 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9200 1451 115 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9200 1451 116 ORDER TO ALLOW CROSS SECTIONS DEFINED 9200 1451 117 BY SUMMATION (E.G., TOTAL) TO BE 9200 1451 118 CONSISTENTLY DEFINED AT ALL ENERGIES. 9200 1451 119 - FORM FACTORS ARE LOG X VS. LOG Y 9200 1451 120 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9200 1451 121 =================================================================9200 1451 122 REFERENCES 9200 1451 123 =================================================================9200 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9200 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9200 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9200 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9200 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9200 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9200 1451 130 9200 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9200 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9200 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9200 1451 134 OF THE DATA, ETC. 9200 1451 135 =================================================================9200 1451 136 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9200 1451 137 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9200 1451 138 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9200 1451 139 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9200 1451 140 *RECONSTRUCTED MT NUMBERS 9200 1451 141 516 =+(515,515)+(517,517) 9200 1451 142 522 =+(534,572) 9200 1451 143 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9200 1451 144 1 451 185 19200 1451 145 23 501 729 19200 1451 146 23 502 100 19200 1451 147 23 504 24 19200 1451 148 23 515 17 19200 1451 149 23 516 36 19200 1451 150 23 517 23 19200 1451 151 23 522 606 19200 1451 152 23 534 25 19200 1451 153 23 535 30 19200 1451 154 23 536 33 19200 1451 155 23 537 35 19200 1451 156 23 538 34 19200 1451 157 23 539 36 19200 1451 158 23 540 39 19200 1451 159 23 541 45 19200 1451 160 23 542 46 19200 1451 161 23 543 38 19200 1451 162 23 544 39 19200 1451 163 23 545 42 19200 1451 164 23 546 49 19200 1451 165 23 547 49 19200 1451 166 23 548 64 19200 1451 167 23 549 65 19200 1451 168 23 550 41 19200 1451 169 23 551 45 19200 1451 170 23 552 47 19200 1451 171 23 553 55 19200 1451 172 23 554 58 19200 1451 173 23 555 74 19200 1451 174 23 556 75 19200 1451 175 23 559 49 19200 1451 176 23 560 54 19200 1451 177 23 561 56 19200 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9.616810-2 1.022000+6 8.415080-2920023539 1915 1.130270+6 6.917900-2 1.250000+6 5.687090-2 1.369310+6 4.795840-2920023539 1916 1.500000+6 4.044260-2 1.701190+6 3.243560-2 1.894980+6 2.684690-2920023539 1917 2.044000+6 2.354550-2 2.332190+6 1.905760-2 2.551640+6 1.649870-2920023539 1918 2.842410+6 1.387740-2 3.000000+6 1.272730-2 3.464100+6 1.028080-2920023539 1919 4.000000+6 8.304560-3 4.472140+6 7.100740-3 5.000000+6 6.071420-3920023539 1920 5.732660+6 5.049360-3 6.480740+6 4.293790-3 7.483310+6 3.565780-3920023539 1921 8.485280+6 3.043000-3 1.000000+7 2.485170-3 1.148910+7 2.102610-3920023539 1922 1.349070+7 1.739160-3 1.600000+7 1.427630-3 1.897370+7 1.176900-3920023539 1923 2.200000+7 9.972500-4 2.600000+7 8.298700-4 3.000000+7 7.102160-4920023539 1924 3.464100+7 6.087240-4 4.000000+7 5.217350-4 4.728710+7 4.371580-4920023539 1925 5.477230+7 3.746280-4 6.447420+7 3.160660-4 7.444840+7 2.722710-4920023539 1926 8.944271+7 2.253030-4 1.000000+8 2.008740-4 0.000000+0 0.000000+0920023539 1927 920023 0 1928 9.200000+4 2.359840+2 0 0 0 0920023540 1929 4.289600+3 4.991100+1 0 0 1 107920023540 1930 107 2 0 0 0 0920023540 1931 4.289600+3 0.000000+0 4.289600+3 7.198990+4 4.731530+3 6.159380+4920023540 1932 5.505230+3 4.751550+4 6.044410+3 3.964090+4 6.680840+3 3.264610+4920023540 1933 7.310730+3 2.741250+4 8.226281+3 2.170250+4 9.197270+3 1.715060+4920023540 1934 1.051990+4 1.280010+4 1.149560+4 1.044770+4 1.264160+4 8.404781+3920023540 1935 1.377040+4 6.910080+3 1.500000+4 5.681200+3 1.649780+4 4.483100+3920023540 1936 1.819930+4 3.511580+3 1.945890+4 2.972890+3 2.108610+4 2.434390+3920023540 1937 2.282420+4 1.986900+3 2.443860+4 1.658610+3 2.629530+4 1.366810+3920023540 1938 2.871050+4 1.083600+3 3.109840+4 8.735880+2 3.402370+4 6.814860+2920023540 1939 3.689100+4 5.449940+2 4.000000+4 4.358400+2 4.302310+4 3.533240+2920023540 1940 4.572820+4 2.964020+2 4.894130+4 2.437360+2 5.263490+4 1.976470+2920023540 1941 5.619690+4 1.636680+2 6.125220+4 1.273600+2 6.499980+4 1.065120+2920023540 1942 6.989540+4 8.559780+1 7.448060+4 7.069600+1 8.080840+4 5.530850+1920023540 1943 8.456200+4 4.824280+1 9.155520+4 3.798000+1 9.937310+4 2.967780+1920023540 1944 1.050830+5 2.508370+1 1.123690+5 2.049960+1 1.202110+5 1.670200+1920023540 1945 1.281090+5 1.374390+1 1.390100+5 1.070190+1 1.454770+5 9.310280+0920023540 1946 1.575260+5 7.296120+0 1.709980+5 5.674310+0 1.808390+5 4.780490+0920023540 1947 1.933970+5 3.891750+0 2.051330+5 3.254690+0 2.199390+5 2.641440+0920023540 1948 2.376880+5 2.093480+0 2.574930+5 1.647180+0 2.719340+5 1.398760+0920023540 1949 2.903370+5 1.149610+0 3.109840+5 9.397730-1 3.311840+5 7.841500-1920023540 1950 3.542840+5 6.458900-1 3.841410+5 5.117650-1 4.113140+5 4.218720-1920023540 1951 4.410200+5 3.481910-1 4.795120+5 2.765550-1 5.000000+5 2.464700-1920023540 1952 5.477230+5 1.939490-1 6.000000+5 1.526200-1 6.623670+5 1.193660-1920023540 1953 7.085680+5 1.009510-1 7.682820+5 8.256300-2 8.226280+5 7.000000-2920023540 1954 8.820400+5 5.957120-2 9.590240+5 4.908660-2 1.022000+6 4.267790-2920023540 1955 1.130270+6 3.508480-2 1.250000+6 2.884260-2 1.369310+6 2.432260-2920023540 1956 1.500000+6 2.051090-2 1.701190+6 1.645000-2 1.894980+6 1.361560-2920023540 1957 2.044000+6 1.194130-2 2.332190+6 9.665210-3 2.551640+6 8.367450-3920023540 1958 2.842410+6 7.038030-3 3.000000+6 6.454760-3 3.464100+6 5.213990-3920023540 1959 4.000000+6 4.211730-3 4.472140+6 3.601200-3 5.000000+6 3.079180-3920023540 1960 5.732660+6 2.560830-3 6.480740+6 2.177640-3 7.483310+6 1.808420-3920023540 1961 8.485280+6 1.543290-3 1.000000+7 1.260380-3 1.148910+7 1.066360-3920023540 1962 1.349070+7 8.820310-4 1.600000+7 7.240380-4 1.897370+7 5.968750-4920023540 1963 2.200000+7 5.057650-4 2.600000+7 4.208760-4 3.000000+7 3.601930-4920023540 1964 3.464100+7 3.087200-4 4.000000+7 2.646030-4 4.728710+7 2.217080-4920023540 1965 5.477230+7 1.899960-4 6.447420+7 1.602960-4 7.444840+7 1.380840-4920023540 1966 8.944271+7 1.142650-4 1.000000+8 1.018750-4 0.000000+0 0.000000+0920023540 1967 920023 0 1968 9.200000+4 2.359840+2 0 0 0 0920023541 1969 3.736800+3 1.644700+2 0 0 1 125920023541 1970 125 2 0 0 0 0920023541 1971 3.736800+3 0.000000+0 3.736800+3 1.842430+5 4.017370+3 1.533760+5920023541 1972 4.500170+3 1.138280+5 4.835700+3 9.310520+4 5.223010+3 7.506950+4920023541 1973 5.598040+3 6.184490+4 6.000000+3 5.095000+4 6.447420+3 4.115650+4920023541 1974 6.804750+3 3.506780+4 7.378210+3 2.758130+4 8.000000+3 2.169300+4920023541 1975 8.637790+3 1.710820+4 9.101571+3 1.455120+4 9.691081+3 1.198210+4920023541 1976 1.051990+4 9.227031+3 1.121240+4 7.505790+3 1.182690+4 6.314660+3920023541 1977 1.255090+4 5.209250+3 1.337590+4 4.238680+3 1.416470+4 3.520800+3920023541 1978 1.536120+4 2.697270+3 1.640000+4 2.159350+3 1.763970+4 1.685570+3920023541 1979 1.901640+4 1.305590+3 2.001610+4 1.096900+3 2.128550+4 8.900130+2920023541 1980 2.282420+4 6.987830+2 2.443860+4 5.494410+2 2.622320+4 4.287820+2920023541 1981 2.751410+4 3.620890+2 2.914740+4 2.956040+2 3.097330+4 2.378760+2920023541 1982 3.288400+4 1.914360+2 3.465240+4 1.583020+2 3.706180+4 1.240410+2920023541 1983 3.847530+4 1.082900+2 4.107990+4 8.538370+1 4.395060+4 6.682470+1920023541 1984 4.602210+4 5.654130+1 4.863720+4 4.626790+1 5.221370+4 3.563320+1920023541 1985 5.542310+4 2.855160+1 5.854120+4 2.329920+1 6.259340+4 1.817090+1920023541 1986 6.636860+4 1.461870+1 6.985820+4 1.208500+1 7.450910+4 9.512110+0920023541 1987 7.863900+4 7.784980+0 8.350810+4 6.228020+0 8.884529+4 4.947820+0920023541 1988 9.505740+4 3.849400+0 1.000000+5 3.188800+0 1.051990+5 2.642870+0920023541 1989 1.121240+5 2.086890+0 1.182690+5 1.712570+0 1.255090+5 1.374170+0920023541 1990 1.312290+5 1.165020+0 1.403010+5 9.094410-1 1.500000+5 7.099300-1920023541 1991 1.604630+5 5.557520-1 1.695460+5 4.550320-1 1.798500+5 3.672820-1920023541 1992 1.896570+5 3.028730-1 2.000000+5 2.497600-1 2.151150+5 1.932830-1920023541 1993 2.286410+5 1.559610-1 2.447070+5 1.228140-1 2.624580+5 9.599290-2920023541 1994 2.752930+5 8.114810-2 2.915270+5 6.633230-2 3.000000+5 5.997200-2920023541 1995 3.223710+5 4.712530-2 3.471900+5 3.675260-2 3.651980+5 3.102240-2920023541 1996 3.880460+5 2.531270-2 4.113140+5 2.091610-2 4.410200+5 1.673990-2920023541 1997 4.695850+5 1.369930-2 5.000000+5 1.121100-2 5.415170+5 8.832850-3920023541 1998 5.798350+5 7.200280-3 6.219690+5 5.867290-3 6.623670+5 4.903420-3920023541 1999 7.085680+5 4.045700-3 7.682820+5 3.212090-3 8.226280+5 2.660720-3920023541 2000 8.820400+5 2.217090-3 9.590240+5 1.781250-3 1.010940+6 1.562550-3920023541 2001 1.130270+6 1.257160-3 1.250000+6 1.033490-3 1.369310+6 8.715260-4920023541 2002 1.500000+6 7.349440-4 1.701190+6 5.894370-4 1.894980+6 4.878750-4920023541 2003 2.044000+6 4.278810-4 2.332190+6 3.463240-4 2.551640+6 2.998230-4920023541 2004 2.842410+6 2.521870-4 3.000000+6 2.312870-4 3.464100+6 1.868280-4920023541 2005 4.000000+6 1.509150-4 4.472140+6 1.290380-4 5.000000+6 1.103330-4920023541 2006 5.732660+6 9.175960-5 6.480740+6 7.802890-5 7.483310+6 6.479920-5920023541 2007 8.485280+6 5.529890-5 1.000000+7 4.516180-5 1.148910+7 3.820960-5920023541 2008 1.349070+7 3.160490-5 1.600000+7 2.594370-5 1.897370+7 2.138720-5920023541 2009 2.200000+7 1.812250-5 2.600000+7 1.508080-5 3.000000+7 1.290640-5920023541 2010 3.464100+7 1.106200-5 4.000000+7 9.481240-6 4.728710+7 7.944250-6920023541 2011 5.477230+7 6.807930-6 6.447420+7 5.743710-6 7.444840+7 4.947830-6920023541 2012 8.944271+7 4.094320-6 1.000000+8 3.650370-6 0.000000+0 0.000000+0920023541 2013 920023 0 2014 9.200000+4 2.359840+2 0 0 0 0920023542 2015 3.555200+3 2.884700-1 0 0 1 128920023542 2016 128 2 0 0 0 0920023542 2017 3.555200+3 0.000000+0 3.555200+3 2.908730+5 3.763000+3 2.472700+5920023542 2018 4.031430+3 2.075380+5 4.500170+3 1.546600+5 4.835700+3 1.256030+5920023542 2019 5.223010+3 1.004990+5 5.598040+3 8.222650+4 6.000000+3 6.727600+4920023542 2020 6.447420+3 5.404050+4 6.943790+3 4.311280+4 7.528971+3 3.369550+4920023542 2021 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1.146640+5-5.511680+0 1.147960+5-5.651820+0 1.149550+5-5.819430+0920027506 3445 1.151590+5-6.024290+0 1.153820+5-6.225970+0 1.156320+5-6.403170+0920027506 3446 1.161050+5-6.519240+0 1.165790+5-6.342590+0 1.170750+5-5.909450+0920027506 3447 1.173800+5-5.553040+0 1.179450+5-4.955720+0 1.184570+5-4.477140+0920027506 3448 1.194310+5-3.859080+0 1.213370+5-3.132480+0 1.229000+5-2.714870+0920027506 3449 1.256500+5-2.169770+0 1.277460+5-1.852070+0 1.308920+5-1.478190+0920027506 3450 1.340960+5-1.208710+0 1.401060+5-8.276550-1 1.426650+5-6.938420-1920027506 3451 1.509910+5-3.928620-1 1.534920+5-3.167150-1 1.608720+5-1.595360-1920027506 3452 1.635760+5-1.009160-1 1.666380+5-4.285570-2 1.672140+5-3.172760-2920027506 3453 1.697400+5-3.228070-3 1.716340+5 1.841570-2 1.775720+5 8.684320-2920027506 3454 1.825840+5 1.362280-1 1.868000+5 1.531250-1 1.957100+5 2.228390-1920027506 3455 2.001660+5 2.531940-1 2.038380+5 2.673770-1 2.072770+5 2.698600-1920027506 3456 2.117350+5 2.805000-1 2.151150+5 2.799220-1 2.297840+5 3.158020-1920027506 3457 2.337040+5 3.182660-1 2.355630+5 3.124030-1 2.535630+5 3.266090-1920027506 3458 2.752930+5 3.011000-1 2.942720+5 2.996700-1 3.109840+5 2.823740-1920027506 3459 3.329280+5 2.673900-1 3.880460+5 2.157820-1 4.041870+5 1.959310-1920027506 3460 4.507190+5 1.613170-1 5.349110+5 1.126600-1 5.800140+5 9.296890-2920027506 3461 6.073490+5 7.723310-2 6.629790+5 5.814880-2 6.659960+5 5.639480-2920027506 3462 7.085680+5 4.698330-2 7.528970+5 3.831180-2 7.564760+5 3.683110-2920027506 3463 7.641510+5 3.484090-2 7.776000+5 3.237250-2 8.128360+5 2.720780-2920027506 3464 8.301070+5 2.371550-2 8.538260+5 1.963740-2 8.575460+5 1.853220-2920027506 3465 9.019330+5 1.214220-2 9.457420+5 6.568240-3 9.821170+5 2.128410-3920027506 3466 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0920027506 3467 920027 0 3468 9200 0 0 3469 0 0 0 3470 9.300000+4 2.350120+2 -1 0 0 19300 1451 1 0.000000+0 0.000000+0 0 0 0 69300 1451 2 0.000000+0 0.000000+0 0 0 3 69300 1451 3 0.000000+0 0.000000+0 0 0 140 419300 1451 4 93-NP- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9300 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9300 1451 6 ----ENDF/B-VI MATERIAL 9300 9300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9300 1451 8 ------ENDF-6 FORMAT 9300 1451 9 =================================================================9300 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9300 1451 11 ENDF/B-VI FORMAT 9300 1451 12 =================================================================9300 1451 13 CONTENTS 9300 1451 14 =================================================================9300 1451 15 MF/MT DESCRIPTION 9300 1451 16 =================================================================9300 1451 17 23/501 TOTAL CROSS SECTION 9300 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9300 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9300 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9300 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9300 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9300 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9300 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 50 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 51 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 52 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9300 1451 53 =================================================================9300 1451 54 27/502 COHERENT SCATTERING FORM FACTORS 9300 1451 55 27/504 INCOHERENT SCATTERING FUNCTIONS 9300 1451 56 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9300 1451 57 27/506 COHERENT REAL SCATTERING FACTOR 9300 1451 58 =================================================================9300 1451 59 WARNING 9300 1451 60 =================================================================9300 1451 61 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9300 1451 62 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9300 1451 63 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9300 1451 64 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9300 1451 65 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9300 1451 66 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9300 1451 67 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9300 1451 68 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9300 1451 69 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9300 1451 70 =================================================================9300 1451 71 DEFINITION OF NEW TYPES OF DATA 9300 1451 72 =================================================================9300 1451 73 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9300 1451 74 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9300 1451 75 9300 1451 76 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9300 1451 77 C2 FIELDS ARE, 9300 1451 78 9300 1451 79 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9300 1451 80 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9300 1451 81 9300 1451 82 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9300 1451 83 9300 1451 84 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9300 1451 85 9300 1451 86 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9300 1451 87 T = THE THOMSON CROSS SECTION 9300 1451 88 MU = THE COSINE OF THE SCATTERING ANGLE 9300 1451 89 FF(M) = THE ATOMIC FORM FACTOR 9300 1451 90 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9300 1451 91 F1(E) = THE REAL SCATTERING FACTOR 9300 1451 92 F2(E) = THE IMAGINARY SCATTERING FACTOR 9300 1451 93 9300 1451 94 F1(E) AND F2(E) ARE ISOTROPIC. 9300 1451 95 9300 1451 96 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9300 1451 97 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9300 1451 98 =================================================================9300 1451 99 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9300 1451 100 =================================================================9300 1451 101 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9300 1451 102 HERE - 10 EV TO 100 MEV 9300 1451 103 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9300 1451 104 - FLUORESCENCE AND ELECTRON SPECTRA 9300 1451 105 HERE - PHOTON INTERACTION 9300 1451 106 - AVERAGE FLUORESCENCE YIELD 9300 1451 107 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9300 1451 108 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9300 1451 109 HERE - NO SECONDARY ENERGY DATA 9300 1451 110 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9300 1451 111 INTERPOLABLE - SUMMATION CROSS SECTIONS 9300 1451 112 (E.G., TOTAL) ARE NOT INCLUDED 9300 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 9300 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9300 1451 115 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9300 1451 116 ORDER TO ALLOW CROSS SECTIONS DEFINED 9300 1451 117 BY SUMMATION (E.G., TOTAL) TO BE 9300 1451 118 CONSISTENTLY DEFINED AT ALL ENERGIES. 9300 1451 119 - FORM FACTORS ARE LOG X VS. LOG Y 9300 1451 120 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9300 1451 121 =================================================================9300 1451 122 REFERENCES 9300 1451 123 =================================================================9300 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9300 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9300 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9300 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9300 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9300 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9300 1451 130 9300 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9300 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9300 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9300 1451 134 OF THE DATA, ETC. 9300 1451 135 =================================================================9300 1451 136 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9300 1451 137 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9300 1451 138 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9300 1451 139 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9300 1451 140 *RECONSTRUCTED MT NUMBERS 9300 1451 141 516 =+(515,515)+(517,517) 9300 1451 142 522 =+(534,572) 9300 1451 143 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9300 1451 144 1 451 185 19300 1451 145 23 501 731 19300 1451 146 23 502 98 19300 1451 147 23 504 24 19300 1451 148 23 515 17 19300 1451 149 23 516 36 19300 1451 150 23 517 23 19300 1451 151 23 522 606 19300 1451 152 23 534 24 19300 1451 153 23 535 30 19300 1451 154 23 536 33 19300 1451 155 23 537 35 19300 1451 156 23 538 34 19300 1451 157 23 539 36 19300 1451 158 23 540 39 19300 1451 159 23 541 44 19300 1451 160 23 542 46 19300 1451 161 23 543 39 19300 1451 162 23 544 38 19300 1451 163 23 545 42 19300 1451 164 23 546 48 19300 1451 165 23 547 50 19300 1451 166 23 548 63 19300 1451 167 23 549 65 19300 1451 168 23 550 41 19300 1451 169 23 551 45 19300 1451 170 23 552 47 19300 1451 171 23 553 55 19300 1451 172 23 554 58 19300 1451 173 23 555 75 19300 1451 174 23 556 76 19300 1451 175 23 559 48 19300 1451 176 23 560 53 19300 1451 177 23 561 56 19300 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6.755320+6 1.701190+1 6.717140+6930023501 199 1.776520+1 6.501610+6 1.832180+1 6.351370+6 1.835210+1 6.343190+6930023501 200 1.844550+1 6.320890+6 1.861210+1 6.283660+6 1.878050+1 6.257520+6930023501 201 1.910980+1 6.206420+6 1.929360+1 6.181770+6 1.988080+1 6.126540+6930023501 202 2.000000+1 6.115330+6 2.067490+1 6.061060+6 2.089280+1 6.043540+6930023501 203 2.123870+1 6.031260+6 2.130630+1 6.028860+6 2.131970+1 6.029650+6930023501 204 2.181790+1 6.074210+6 2.218360+1 6.109240+6 2.249430+1 6.139000+6930023501 205 2.284550+1 6.172640+6 2.309400+1 6.196450+6 2.315130+1 6.201930+6930023501 206 2.322790+1 6.209610+6 2.342760+1 6.229610+6 2.357740+1 6.255850+6930023501 207 2.378530+1 6.292270+6 2.393230+1 6.319390+6 2.409800+1 6.349960+6930023501 208 2.434870+1 6.396210+6 2.460200+1 6.442940+6 2.471340+1 6.463500+6930023501 209 2.475300+1 6.470800+6 2.480120+1 6.479680+6 2.485930+1 6.490380+6930023501 210 2.488280+1 6.494780+6 2.497730+1 6.512460+6 2.514650+1 6.544130+6930023501 211 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5.230820-2 1.500000+6 4.410490-2930023539 1915 1.701190+6 3.537610-2 1.894980+6 2.928290-2 2.044000+6 2.567720-2930023539 1916 2.332190+6 2.077960-2 2.551640+6 1.798750-2 2.842410+6 1.512760-2930023539 1917 3.000000+6 1.387300-2 3.464100+6 1.120420-2 4.000000+6 9.048730-3930023539 1918 4.472140+6 7.737190-3 5.000000+6 6.615740-3 5.732660+6 5.500970-3930023539 1919 6.480740+6 4.677060-3 7.483310+6 3.884020-3 8.485280+6 3.314100-3930023539 1920 1.000000+7 2.705930-3 1.148910+7 2.289080-3 1.349070+7 1.893580-3930023539 1921 1.600000+7 1.554190-3 1.897370+7 1.281170-3 2.200000+7 1.085670-3930023539 1922 2.600000+7 9.031340-4 3.000000+7 7.729230-4 3.464100+7 6.624090-4930023539 1923 4.000000+7 5.676970-4 4.728710+7 4.756700-4 5.477230+7 4.076400-4930023539 1924 6.447420+7 3.439120-4 7.444840+7 2.962380-4 8.944271+7 2.451140-4930023539 1925 1.000000+8 2.185250-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0930023539 1926 930023 0 1927 9.300000+4 2.350120+2 0 0 0 0930023540 1928 4.421600+3 5.396100+1 0 0 1 108930023540 1929 108 2 0 0 0 0930023540 1930 4.421600+3 0.000000+0 4.421600+3 6.988530+4 4.888630+3 5.947590+4930023540 1931 5.676520+3 4.602980+4 6.184920+3 3.897960+4 6.780270+3 3.261970+4930023540 1932 7.570810+3 2.634210+4 8.458970+3 2.105980+4 9.197270+3 1.767190+4930023540 1933 1.051990+4 1.321200+4 1.149560+4 1.079480+4 1.264160+4 8.693531+3930023540 1934 1.377040+4 7.154480+3 1.539050+4 5.523720+3 1.651770+4 4.634220+3930023540 1935 1.787030+4 3.811150+3 1.944280+4 3.090790+3 2.097590+4 2.559660+3930023540 1936 2.263000+4 2.119800+3 2.428250+4 1.760120+3 2.560060+4 1.531020+3930023540 1937 2.771320+4 1.242030+3 3.000000+4 1.007600+3 3.223710+4 8.266720+2930023540 1938 3.402370+4 7.126350+2 3.689100+4 5.703850+2 4.000000+4 4.565300+2930023540 1939 4.302310+4 3.703660+2 4.572820+4 3.108880+2 4.894130+4 2.558220+2930023540 1940 5.263490+4 2.075980+2 5.619690+4 1.720200+2 6.000000+4 1.425400+2930023540 1941 6.395620+4 1.177640+2 6.930470+4 9.262050+1 7.412360+4 7.575450+1930023540 1942 7.988540+4 6.056060+1 8.629670+4 4.807660+1 9.096060+4 4.107490+1930023540 1943 9.689120+4 3.400540+1 1.044270+5 2.710810+1 1.129770+5 2.131940+1930023540 1944 1.213370+5 1.714450+1 1.291590+5 1.416800+1 1.399390+5 1.109240+1930023540 1945 1.463280+5 9.679300+0 1.582170+5 7.625670+0 1.714900+5 5.963150+0930023540 1946 1.811730+5 5.042620+0 1.935160+5 4.123560+0 2.051330+5 3.456770+0930023540 1947 2.199390+5 2.806500+0 2.376880+5 2.225240+0 2.574930+5 1.751610+0930023540 1948 2.719340+5 1.487890+0 2.903370+5 1.223290+0 3.109840+5 1.000320+0930023540 1949 3.311840+5 8.348530-1 3.542840+5 6.878180-1 3.841410+5 5.451420-1930023540 1950 4.113140+5 4.494790-1 4.410200+5 3.710320-1 4.795120+5 2.947510-1930023540 1951 5.000000+5 2.627100-1 5.477230+5 2.067370-1 6.000000+5 1.626900-1930023540 1952 6.623670+5 1.272360-1 7.085680+5 1.076030-1 7.682820+5 8.799960-2930023540 1953 8.226280+5 7.460430-2 8.820400+5 6.348200-2 9.590240+5 5.230160-2930023540 1954 1.022000+6 4.547980-2 1.130270+6 3.738900-2 1.250000+6 3.073760-2930023540 1955 1.369310+6 2.591720-2 1.500000+6 2.185270-2 1.701190+6 1.752780-2930023540 1956 1.894980+6 1.450880-2 2.044000+6 1.272230-2 2.332190+6 1.029570-2930023540 1957 2.551640+6 8.912260-3 2.842410+6 7.495270-3 3.000000+6 6.873650-3930023540 1958 3.464100+6 5.551320-3 4.000000+6 4.483380-3 4.472140+6 3.833550-3930023540 1959 5.000000+6 3.277900-3 5.732660+6 2.725570-3 6.480740+6 2.317350-3930023540 1960 7.483310+6 1.924420-3 8.485280+6 1.642040-3 1.000000+7 1.340710-3930023540 1961 1.148910+7 1.134170-3 1.349070+7 9.382150-4 1.600000+7 7.700550-4930023540 1962 1.897370+7 6.347810-4 2.200000+7 5.379190-4 2.600000+7 4.474760-4930023540 1963 3.000000+7 3.829600-4 3.464100+7 3.282040-4 4.000000+7 2.812770-4930023540 1964 4.728710+7 2.356810-4 5.477230+7 2.019740-4 6.447420+7 1.703990-4930023540 1965 7.444840+7 1.467770-4 8.944271+7 1.214470-4 1.000000+8 1.082730-4930023540 1966 930023 0 1967 9.300000+4 2.350120+2 0 0 0 0930023541 1968 3.859200+3 1.767700+2 0 0 1 123930023541 1969 123 2 0 0 0 0930023541 1970 3.859200+3 0.000000+0 3.859200+3 1.743390+5 4.145020+3 1.464600+5930023541 1971 4.673210+3 1.076420+5 5.025800+3 8.808110+4 5.539100+3 6.709480+4930023541 1972 5.925270+3 5.510300+4 6.387100+3 4.425320+4 6.901090+3 3.529700+4930023541 1973 7.509100+3 2.758060+4 8.226281+3 2.103310+4 8.820401+3 1.696400+4930023541 1974 9.391701+3 1.397940+4 1.025670+4 1.061550+4 1.099690+4 8.477800+3930023541 1975 1.182690+4 6.703860+3 1.255090+4 5.534260+3 1.337590+4 4.506570+3930023541 1976 1.443780+4 3.522010+3 1.539050+4 2.853610+3 1.651770+4 2.245220+3930023541 1977 1.718070+4 1.964600+3 1.840570+4 1.555250+3 1.976050+4 1.222240+3930023541 1978 2.074090+4 1.037070+3 2.198190+4 8.515110+2 2.344170+4 6.817770+2930023541 1979 2.493290+4 5.490350+2 2.663600+4 4.353520+2 2.826800+4 3.533110+2930023541 1980 3.000000+4 2.867300+2 3.197810+4 2.275950+2 3.381560+4 1.859470+2930023541 1981 3.627750+4 1.442080+2 3.847530+4 1.165700+2 4.107990+4 9.197870+1930023541 1982 4.395060+4 7.203950+1 4.602210+4 6.098440+1 4.863720+4 4.993400+1930023541 1983 5.221370+4 3.848490+1 5.542310+4 3.085500+1 5.854120+4 2.519250+1930023541 1984 6.259340+4 1.966060+1 6.636860+4 1.582640+1 6.985820+4 1.309010+1930023541 1985 7.450910+4 1.030990+1 7.863900+4 8.442440+0 8.350810+4 6.758040+0930023541 1986 8.735670+4 5.719200+0 9.346479+4 4.452530+0 1.000000+5 3.466400+0930023541 1987 1.051990+5 2.874170+0 1.121240+5 2.270760+0 1.182690+5 1.864290+0930023541 1988 1.255090+5 1.496660+0 1.312290+5 1.269350+0 1.403010+5 9.914430-1930023541 1989 1.500000+5 7.743800-1 1.604630+5 6.065060-1 1.695460+5 4.967880-1930023541 1990 1.798500+5 4.011590-1 1.896570+5 3.309390-1 2.000000+5 2.730100-1930023541 1991 2.151150+5 2.113720-1 2.286410+5 1.706220-1 2.447070+5 1.344170-1930023541 1992 2.624580+5 1.051080-1 2.752930+5 8.888040-2 2.915270+5 7.267900-2930023541 1993 3.000000+5 6.572200-2 3.223710+5 5.166350-2 3.471900+5 4.030800-2930023541 1994 3.651980+5 3.403270-2 3.880460+5 2.777800-2 4.113140+5 2.296000-2930023541 1995 4.410200+5 1.838180-2 4.695850+5 1.504750-2 5.000000+5 1.231800-2930023541 1996 5.415170+5 9.708290-3 5.798350+5 7.916190-3 6.219690+5 6.452480-3930023541 1997 6.623670+5 5.393780-3 7.085680+5 4.451440-3 7.682820+5 3.535320-3930023541 1998 8.226280+5 2.929140-3 8.820400+5 2.441220-3 9.590240+5 1.961770-3930023541 1999 1.010940+6 1.721280-3 1.130270+6 1.385050-3 1.250000+6 1.138650-3930023541 2000 1.369310+6 9.600810-4 1.500000+6 8.095160-4 1.701190+6 6.493040-4930023541 2001 1.894980+6 5.374680-4 2.044000+6 4.712870-4 2.332190+6 3.813940-4930023541 2002 2.551640+6 3.301470-4 2.842410+6 2.776570-4 3.000000+6 2.546290-4930023541 2003 3.464100+6 2.056440-4 4.000000+6 1.660830-4 4.472140+6 1.420100-4930023541 2004 5.000000+6 1.214270-4 5.732660+6 1.009670-4 6.480740+6 8.584430-5930023541 2005 7.483310+6 7.128860-5 8.485280+6 6.082790-5 1.000000+7 4.966540-5930023541 2006 1.148910+7 4.201440-5 1.349070+7 3.475540-5 1.600000+7 2.852610-5930023541 2007 1.897370+7 2.351500-5 2.200000+7 1.992680-5 2.600000+7 1.657640-5930023541 2008 3.000000+7 1.418650-5 3.464100+7 1.215810-5 4.000000+7 1.041970-5930023541 2009 4.728710+7 8.730600-6 5.477230+7 7.481960-6 6.447420+7 6.312280-6930023541 2010 7.444840+7 5.437230-6 8.944271+7 4.498900-6 1.000000+8 4.010880-6930023541 2011 930023 0 2012 9.300000+4 2.350120+2 0 0 0 0930023542 2013 3.668100+3 3.022100-1 0 0 1 128930023542 2014 128 2 0 0 0 0930023542 2015 3.668100+3 0.000000+0 3.668100+3 2.754940+5 3.992460+3 2.217100+5930023542 2016 4.293230+3 1.840490+5 4.621200+3 1.505670+5 4.932920+3 1.247000+5930023542 2017 5.290270+3 1.018970+5 5.753430+3 7.996679+4 6.219690+3 6.351220+4930023542 2018 6.623670+3 5.246380+4 7.085681+3 4.274970+4 7.528971+3 3.555490+4930023542 2019 8.226281+3 2.707370+4 8.820401+3 2.171470+4 9.391701+3 1.780480+4930023542 2020 1.000000+4 1.459900+4 1.075580+4 1.146860+4 1.143200+4 9.371090+3930023542 2021 1.223530+4 7.483411+3 1.312290+4 5.934110+3 1.376470+4 5.066020+3930023542 2022 1.457640+4 4.190260+3 1.579120+4 3.185310+3 1.684590+4 2.542140+3930023542 2023 1.778260+4 2.104830+3 1.888720+4 1.705760+3 2.014700+4 1.361760+3930023542 2024 2.135240+4 1.111890+3 2.303230+4 8.518330+2 2.417580+4 7.149310+2930023542 2025 2.551620+4 5.882040+2 2.703490+4 4.772420+2 2.847890+4 3.953920+2930023542 2026 3.000000+4 3.275800+2 3.197810+4 2.581150+2 3.381560+4 2.095310+2930023542 2027 3.627750+4 1.611880+2 3.847530+4 1.294170+2 4.107990+4 1.013480+2930023542 2028 4.395060+4 7.876290+1 4.602210+4 6.632340+1 4.863720+4 5.396110+1930023542 2029 5.221370+4 4.123100+1 5.542310+4 3.280920+1 5.854120+4 2.660410+1930023542 2030 6.246270+4 2.075360+1 6.624730+4 1.656680+1 6.974640+4 1.360250+1930023542 2031 7.450910+4 1.056180+1 7.730070+4 9.173880+0 8.243990+4 7.169380+0930023542 2032 8.809779+4 5.559870+0 9.217660+4 4.674980+0 9.732110+4 3.796980+0930023542 2033 1.025670+5 3.106460+0 1.075580+5 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8.386170+5 2.177140-2 8.944270+5 1.217950-2 9.854760+5 1.592760-3930027506 3457 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0930027506 3458 930027 0 3459 9300 0 0 3460 0 0 0 3461 9.400000+4 2.419680+2 -1 0 0 19400 1451 1 0.000000+0 0.000000+0 0 0 0 69400 1451 2 0.000000+0 0.000000+0 0 0 3 69400 1451 3 0.000000+0 0.000000+0 0 0 138 399400 1451 4 94-PU- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9400 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9400 1451 6 ----ENDF/B-VI MATERIAL 9400 9400 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9400 1451 8 ------ENDF-6 FORMAT 9400 1451 9 =================================================================9400 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9400 1451 11 ENDF/B-VI FORMAT 9400 1451 12 =================================================================9400 1451 13 CONTENTS 9400 1451 14 =================================================================9400 1451 15 MF/MT DESCRIPTION 9400 1451 16 =================================================================9400 1451 17 23/501 TOTAL CROSS SECTION 9400 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9400 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9400 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9400 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9400 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9400 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9400 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 50 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9400 1451 51 =================================================================9400 1451 52 27/502 COHERENT SCATTERING FORM FACTORS 9400 1451 53 27/504 INCOHERENT SCATTERING FUNCTIONS 9400 1451 54 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9400 1451 55 27/506 COHERENT REAL SCATTERING FACTOR 9400 1451 56 =================================================================9400 1451 57 WARNING 9400 1451 58 =================================================================9400 1451 59 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9400 1451 60 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9400 1451 61 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9400 1451 62 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9400 1451 63 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9400 1451 64 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9400 1451 65 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9400 1451 66 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9400 1451 67 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9400 1451 68 =================================================================9400 1451 69 DEFINITION OF NEW TYPES OF DATA 9400 1451 70 =================================================================9400 1451 71 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9400 1451 72 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9400 1451 73 9400 1451 74 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9400 1451 75 C2 FIELDS ARE, 9400 1451 76 9400 1451 77 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9400 1451 78 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9400 1451 79 9400 1451 80 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9400 1451 81 9400 1451 82 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9400 1451 83 9400 1451 84 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9400 1451 85 T = THE THOMSON CROSS SECTION 9400 1451 86 MU = THE COSINE OF THE SCATTERING ANGLE 9400 1451 87 FF(M) = THE ATOMIC FORM FACTOR 9400 1451 88 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9400 1451 89 F1(E) = THE REAL SCATTERING FACTOR 9400 1451 90 F2(E) = THE IMAGINARY SCATTERING FACTOR 9400 1451 91 9400 1451 92 F1(E) AND F2(E) ARE ISOTROPIC. 9400 1451 93 9400 1451 94 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9400 1451 95 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9400 1451 96 =================================================================9400 1451 97 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9400 1451 98 =================================================================9400 1451 99 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9400 1451 100 HERE - 10 EV TO 100 MEV 9400 1451 101 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9400 1451 102 - FLUORESCENCE AND ELECTRON SPECTRA 9400 1451 103 HERE - PHOTON INTERACTION 9400 1451 104 - AVERAGE FLUORESCENCE YIELD 9400 1451 105 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9400 1451 106 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9400 1451 107 HERE - NO SECONDARY ENERGY DATA 9400 1451 108 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9400 1451 109 INTERPOLABLE - SUMMATION CROSS SECTIONS 9400 1451 110 (E.G., TOTAL) ARE NOT INCLUDED 9400 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 9400 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9400 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9400 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 9400 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 9400 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 9400 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9400 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9400 1451 119 =================================================================9400 1451 120 REFERENCES 9400 1451 121 =================================================================9400 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9400 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9400 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9400 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9400 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9400 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9400 1451 128 9400 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9400 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9400 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9400 1451 132 OF THE DATA, ETC. 9400 1451 133 =================================================================9400 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9400 1451 135 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9400 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9400 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9400 1451 138 *RECONSTRUCTED MT NUMBERS 9400 1451 139 516 =+(515,515)+(517,517) 9400 1451 140 522 =+(534,572) 9400 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9400 1451 142 1 451 181 19400 1451 143 23 501 708 19400 1451 144 23 502 100 19400 1451 145 23 504 24 19400 1451 146 23 515 17 19400 1451 147 23 516 36 19400 1451 148 23 517 23 19400 1451 149 23 522 579 19400 1451 150 23 534 24 19400 1451 151 23 535 30 19400 1451 152 23 536 32 19400 1451 153 23 537 35 19400 1451 154 23 538 34 19400 1451 155 23 539 35 19400 1451 156 23 540 39 19400 1451 157 23 541 46 19400 1451 158 23 542 45 19400 1451 159 23 543 38 19400 1451 160 23 544 38 19400 1451 161 23 545 43 19400 1451 162 23 546 47 19400 1451 163 23 547 50 19400 1451 164 23 548 62 19400 1451 165 23 549 65 19400 1451 166 23 550 41 19400 1451 167 23 551 45 19400 1451 168 23 552 46 19400 1451 169 23 553 55 19400 1451 170 23 554 57 19400 1451 171 23 555 74 19400 1451 172 23 556 73 19400 1451 173 23 559 48 19400 1451 174 23 560 54 19400 1451 175 23 561 57 19400 1451 176 23 570 54 19400 1451 177 27 502 48 19400 1451 178 27 504 45 19400 1451 179 27 505 75 19400 1451 180 27 506 139 19400 1451 181 9400 1 0 182 9400 0 0 183 9.400000+4 2.419680+2 0 0 0 0940023501 184 0.000000+0 0.000000+0 0 0 1 2113940023501 185 2113 2 0 0 0 0940023501 186 1.000000+1 3.008430+6 1.075580+1 2.899490+6 1.093300+1 2.890670+6940023501 187 1.143200+1 2.865820+6 1.154780+1 2.868150+6 1.206940+1 2.878640+6940023501 188 1.223530+1 2.881980+6 1.224740+1 2.882930+6 1.256180+1 2.915610+6940023501 189 1.281390+1 2.946110+6 1.315870+1 2.987810+6 1.366660+1 3.071450+6940023501 190 1.404920+1 3.134450+6 1.407860+1 3.140220+6 1.425870+1 3.175590+6940023501 191 1.500000+1 3.339740+6 1.519740+1 3.398310+6 1.589850+1 3.606320+6940023501 192 1.611850+1 3.677010+6 1.635690+1 3.757620+6 1.688590+1 3.936510+6940023501 193 1.701190+1 3.979110+6 1.730620+1 4.082730+6 1.793570+1 4.304370+6940023501 194 1.838740+1 4.463410+6 1.844550+1 4.485590+6 1.858820+1 4.541860+6940023501 195 1.872300+1 4.595020+6 1.893500+1 4.686710+6 1.946720+1 4.916870+6940023501 196 1.988080+1 5.095730+6 2.000000+1 5.147280+6 2.001450+1 5.153710+6940023501 197 2.026020+1 5.262610+6 2.069740+1 5.456390+6 2.115820+1 5.660640+6940023501 198 2.147830+1 5.802520+6 2.185860+1 5.971080+6 2.186870+1 5.975620+6940023501 199 2.189360+1 5.986830+6 2.206660+1 6.067950+6 2.231760+1 6.185640+6940023501 200 2.259460+1 6.315530+6 2.280460+1 6.414000+6 2.292950+1 6.472570+6940023501 201 2.301400+1 6.512210+6 2.309400+1 6.549730+6 2.310040+1 6.552740+6940023501 202 2.320840+1 6.603410+6 2.332400+1 6.657650+6 2.342000+1 6.702690+6940023501 203 2.342000+1 3.096510+7 2.352100+1 3.064420+7 2.360980+1 3.036210+7940023501 204 2.375140+1 2.991220+7 2.389000+1 2.947190+7 2.432660+1 2.808690+7940023501 205 2.496380+1 2.606570+7 2.514520+1 2.565030+7 2.528960+1 2.531960+7940023501 206 2.542410+1 2.501200+7 2.607430+1 2.352500+7 2.686780+1 2.218730+7940023501 207 2.747240+1 2.116810+7 2.754430+1 2.107540+7 2.772340+1 2.084500+7940023501 208 2.773720+1 2.082720+7 2.808450+1 2.038020+7 2.819930+1 2.023250+7940023501 209 2.833970+1 2.011690+7 3.000000+1 1.863110+7 3.042350+1 1.842450+7940023501 210 3.223710+1 1.753970+7 3.255960+1 1.745810+7 3.281860+1 1.739250+7940023501 211 3.327440+1 1.727720+7 3.338780+1 1.724850+7 3.345700+1 1.723110+7940023501 212 3.358400+1 1.719910+7 3.370810+1 1.716790+7 3.388130+1 1.712430+7940023501 213 3.392000+1 1.711460+7 3.392000+1 2.696960+7 3.405530+1 2.680800+7940023501 214 3.417270+1 2.666760+7 3.431490+1 2.649770+7 3.451990+1 2.625270+7940023501 215 3.460000+1 2.615700+7 3.471900+1 2.599990+7 3.534740+1 2.526440+7940023501 216 3.587750+1 2.474840+7 3.651980+1 2.412370+7 3.720740+1 2.352540+7940023501 217 3.760180+1 2.318210+7 3.880460+1 2.235620+7 3.999640+1 2.161830+7940023501 218 4.000000+1 2.161610+7 4.017950+1 2.153070+7 4.262790+1 2.036550+7940023501 219 4.315240+1 2.015860+7 4.485060+1 1.959970+7 4.519070+1 1.948780+7940023501 220 4.656150+1 1.912820+7 4.666370+1 1.910140+7 4.728710+1 1.896350+7940023501 221 4.835280+1 1.867710+7 4.853490+1 1.862820+7 4.922020+1 1.848050+7940023501 222 4.937380+1 1.845170+7 5.000000+1 1.833430+7 5.166350+1 1.789000+7940023501 223 5.224290+1 1.775980+7 5.247350+1 1.770800+7 5.259390+1 1.768380+7940023501 224 5.290220+1 1.762200+7 5.312000+1 1.757840+7 5.312000+1 1.797700+7940023501 225 5.369470+1 1.784930+7 5.389920+1 1.780390+7 5.418000+1 1.774160+7940023501 226 5.480580+1 1.757640+7 5.557980+1 1.737210+7 5.597570+1 1.727540+7940023501 227 5.691390+1 1.707300+7 5.701580+1 1.705160+7 5.758250+1 1.691950+7940023501 228 5.853100+1 1.669840+7 6.000000+1 1.638760+7 6.111030+1 1.607680+7940023501 229 6.158410+1 1.594590+7 6.328660+1 1.547580+7 6.369710+1 1.537110+7940023501 230 6.414750+1 1.525620+7 6.480740+1 1.508950+7 6.735370+1 1.447200+7940023501 231 6.799210+1 1.427580+7 6.859590+1 1.409140+7 7.000000+1 1.368110+7940023501 232 7.246900+1 1.298810+7 7.483310+1 1.234620+7 7.740650+1 1.166140+7940023501 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1.177800+2 6.731120+6940023501 246 1.183120+2 6.738590+6 1.190080+2 6.748370+6 1.192600+2 6.751920+6940023501 247 1.195000+2 6.733480+6 1.195000+2 7.894080+6 1.209330+2 7.819700+6940023501 248 1.218900+2 7.770010+6 1.219770+2 7.761110+6 1.246880+2 7.483760+6940023501 249 1.252800+2 7.435950+6 1.279890+2 7.054220+6 1.291730+2 6.888660+6940023501 250 1.293490+2 6.864050+6 1.304790+2 6.694430+6 1.310400+2 6.619310+6940023501 251 1.312690+2 6.588650+6 1.349560+2 6.094940+6 1.352160+2 6.058710+6940023501 252 1.354520+2 6.025940+6 1.374260+2 5.753310+6 1.387700+2 5.577810+6940023501 253 1.396690+2 5.466860+6 1.397860+2 5.450150+6 1.416420+2 5.185030+6940023501 254 1.422790+2 5.094120+6 1.442760+2 4.841050+6 1.449850+2 4.753400+6940023501 255 1.456860+2 4.667180+6 1.471470+2 4.497570+6 1.476910+2 4.426460+6940023501 256 1.494500+2 4.196540+6 1.500000+2 4.134480+6 1.516570+2 3.953070+6940023501 257 1.527210+2 3.836580+6 1.534570+2 3.759120+6 1.547950+2 3.618940+6940023501 258 1.562230+2 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1.114350+6940023501 271 1.956530+2 1.092010+6 1.976790+2 1.034330+6 1.998930+2 9.720120+5940023501 272 2.000000+2 9.690390+5 2.019330+2 9.336370+5 2.025340+2 9.227230+5940023501 273 2.033930+2 9.071320+5 2.058520+2 8.631400+5 2.076750+2 8.308730+5940023501 274 2.078410+2 8.279650+5 2.098490+2 7.934290+5 2.101190+2 7.888830+5940023501 275 2.113450+2 7.723800+5 2.118760+2 7.652310+5 2.150880+2 7.229130+5940023501 276 2.155290+2 7.171040+5 2.159900+2 7.110350+5 2.164200+2 7.056960+5940023501 277 2.164200+2 1.074280+6 2.177740+2 1.054250+6 2.182560+2 1.047130+6940023501 278 2.201100+2 1.019800+6 2.206730+2 1.011500+6 2.207500+2 1.010370+6940023501 279 2.240930+2 9.762090+5 2.274870+2 9.419840+5 2.304990+2 9.120620+5940023501 280 2.335510+2 8.821520+5 2.344300+2 8.737480+5 2.348710+2 8.701650+5940023501 281 2.349400+2 8.696560+5 2.362540+2 8.599430+5 2.381490+2 8.461340+5940023501 282 2.386120+2 8.428010+5 2.397760+2 8.350350+5 2.407470+2 8.294180+5940023501 283 2.414070+2 8.256030+5 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1.865880-2 1.894980+6 1.544310-2 2.044000+6 1.354310-2940023540 1902 2.332190+6 1.095770-2 2.551640+6 9.484090-3 2.842410+6 7.974900-3940023540 1903 3.000000+6 7.312910-3 3.464100+6 5.907350-3 4.000000+6 4.771950-3940023540 1904 4.472140+6 4.078710-3 5.000000+6 3.486180-3 5.732660+6 2.898600-3940023540 1905 6.480740+6 2.464010-3 7.483310+6 2.045650-3 8.485280+6 1.745350-3940023540 1906 1.000000+7 1.425040-3 1.148910+7 1.205330-3 1.349070+7 9.971120-4940023540 1907 1.600000+7 8.181730-4 1.897370+7 6.744440-4 2.200000+7 5.714990-4940023540 1908 2.600000+7 4.754480-4 3.000000+7 4.067720-4 3.464100+7 3.486080-4940023540 1909 4.000000+7 2.987600-4 4.728710+7 2.503130-4 5.477230+7 2.145030-4940023540 1910 6.447420+7 1.809550-4 7.444840+7 1.558550-4 8.944271+7 1.289470-4940023540 1911 1.000000+8 1.149550-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0940023540 1912 940023 0 1913 9.400000+4 2.419680+2 0 0 0 0940023541 1914 3.977800+3 1.918100+2 0 0 1 127940023541 1915 127 2 0 0 0 0940023541 1916 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1.434730+2 3.847530+4 1.253570+2940023541 1929 4.107990+4 9.898300+1 4.395060+4 7.758300+1 4.602210+4 6.571040+1940023541 1930 4.863720+4 5.383640+1 5.221370+4 4.152290+1 5.542310+4 3.331010+1940023541 1931 5.854120+4 2.721180+1 6.259340+4 2.125050+1 6.636860+4 1.711600+1940023541 1932 6.985820+4 1.416390+1 7.450910+4 1.116270+1 7.863900+4 9.145610+0940023541 1933 8.350810+4 7.325240+0 8.735670+4 6.201960+0 9.346479+4 4.831580+0940023541 1934 1.000000+5 3.764000+0 1.051990+5 3.122270+0 1.121240+5 2.468100+0940023541 1935 1.182690+5 2.027230+0 1.255090+5 1.628290+0 1.337590+5 1.287550+0940023541 1936 1.416470+5 1.042300+0 1.500000+5 8.437600-1 1.604630+5 6.611730-1940023541 1937 1.695460+5 5.417850-1 1.798500+5 4.376840-1 1.896570+5 3.612110-1940023541 1938 2.000000+5 2.981000-1 2.151150+5 2.309040-1 2.286410+5 1.864600-1940023541 1939 2.447070+5 1.469570-1 2.624580+5 1.149650-1 2.752930+5 9.724470-2940023541 1940 2.915270+5 7.954750-2 3.000000+5 7.194600-2 3.223710+5 5.657800-2940023541 1941 3.471900+5 4.415980-2 3.651980+5 3.729490-2 3.880460+5 3.045060-2940023541 1942 4.113140+5 2.517650-2 4.410200+5 2.016320-2 4.695850+5 1.651080-2940023541 1943 5.000000+5 1.352000-2 5.415170+5 1.065890-2 5.798350+5 8.693660-3940023541 1944 6.219690+5 7.088190-3 6.623670+5 5.926730-3 7.085680+5 4.892630-3940023541 1945 7.682820+5 3.887020-3 8.226280+5 3.221240-3 8.820400+5 2.685020-3940023541 1946 9.590240+5 2.158040-3 1.010940+6 1.893820-3 1.130270+6 1.523990-3940023541 1947 1.250000+6 1.252860-3 1.369310+6 1.056430-3 1.500000+6 8.907930-4940023541 1948 1.701190+6 7.143940-4 1.894980+6 5.912770-4 2.044000+6 5.185290-4940023541 1949 2.332190+6 4.195430-4 2.551640+6 3.631210-4 2.842410+6 3.053380-4940023541 1950 3.000000+6 2.799920-4 3.464100+6 2.261770-4 4.000000+6 1.827050-4940023541 1951 4.472140+6 1.561630-4 5.000000+6 1.334770-4 5.732660+6 1.109800-4940023541 1952 6.480740+6 9.434060-5 7.483310+6 7.832260-5 8.485280+6 6.682490-5940023541 1953 1.000000+7 5.456090-5 1.148910+7 4.614890-5 1.349070+7 3.817680-5940023541 1954 1.600000+7 3.132570-5 1.897370+7 2.582270-5 2.200000+7 2.188120-5940023541 1955 2.600000+7 1.820370-5 3.000000+7 1.557430-5 3.464100+7 1.334730-5940023541 1956 4.000000+7 1.143870-5 4.728710+7 9.583830-6 5.477230+7 8.212750-6940023541 1957 6.447420+7 6.928290-6 7.444840+7 5.967290-6 8.944271+7 4.937050-6940023541 1958 1.000000+8 4.401310-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0940023541 1959 940023 0 1960 9.400000+4 2.419680+2 0 0 0 0940023542 1961 3.776900+3 3.204800-1 0 0 1 126940023542 1962 126 2 0 0 0 0940023542 1963 3.776900+3 0.000000+0 3.776900+3 2.706830+5 4.005000+3 2.284200+5940023542 1964 4.283330+3 1.924180+5 4.738150+3 1.470620+5 5.155030+3 1.153090+5940023542 1965 5.561490+3 9.263860+4 6.000000+3 7.442500+4 6.447420+3 5.988010+4940023542 1966 6.804750+3 5.086920+4 7.378210+3 3.983040+4 8.000000+3 3.118700+4940023542 1967 8.637790+3 2.448730+4 9.101571+3 2.076470+4 9.691081+3 1.703690+4940023542 1968 1.051990+4 1.305390+4 1.121240+4 1.057590+4 1.182690+4 8.867540+3940023542 1969 1.255090+4 7.287741+3 1.337590+4 5.906030+3 1.416470+4 4.887970+3940023542 1970 1.541200+4 3.681320+3 1.660420+4 2.840330+3 1.762460+4 2.307880+3940023542 1971 1.852670+4 1.939800+3 1.958570+4 1.598550+3 2.078760+4 1.299250+3940023542 1972 2.232770+4 1.013100+3 2.390330+4 7.956610+2 2.530020+4 6.481030+2940023542 1973 2.688760+4 5.202310+2 2.840120+4 4.268680+2 3.000000+4 3.502600+2940023542 1974 3.197810+4 2.761530+2 3.381560+4 2.242930+2 3.627750+4 1.726590+2940023542 1975 3.847530+4 1.387050+2 4.107990+4 1.086890+2 4.395060+4 8.452210+1940023542 1976 4.602210+4 7.120420+1 4.863720+4 5.796250+1 5.221370+4 4.431660+1940023542 1977 5.542310+4 3.528260+1 5.854120+4 2.862320+1 6.246270+4 2.234110+1940023542 1978 6.624730+4 1.784310+1 6.974640+4 1.465690+1 7.450910+4 1.138700+1940023542 1979 7.730070+4 9.893760+0 8.243990+4 7.736250+0 8.809779+4 6.002900+0940023542 1980 9.217660+4 5.049460+0 9.732110+4 4.103050+0 1.025670+5 3.358260+0940023542 1981 1.075580+5 2.802250+0 1.143200+5 2.221410+0 1.218350+5 1.743040+0940023542 1982 1.283370+5 1.429860+0 1.356890+5 1.156480+0 1.426650+5 9.554300-1940023542 1983 1.500000+5 7.893300-1 1.604630+5 6.143590-1 1.695460+5 5.006550-1940023542 1984 1.798500+5 4.020750-1 1.896570+5 3.300640-1 2.000000+5 2.709500-1940023542 1985 2.151150+5 2.089310-1 2.286410+5 1.680830-1 2.447070+5 1.319190-1940023542 1986 2.624580+5 1.027550-1 2.752930+5 8.666070-2 2.915270+5 7.063920-2940023542 1987 3.000000+5 6.377600-2 3.223710+5 5.012460-2 3.471900+5 3.909990-2940023542 1988 3.651980+5 3.300840-2 3.880460+5 2.693780-2 4.113140+5 2.228990-2940023542 1989 4.410200+5 1.789770-2 4.695850+5 1.468990-2 5.000000+5 1.205700-2940023542 1990 5.415170+5 9.543800-3 5.798350+5 7.810990-3 6.219690+5 6.401700-3940023542 1991 6.804750+5 5.000790-3 7.378210+5 4.004130-3 8.000000+5 3.206100-3940023542 1992 8.458970+5 2.780620-3 9.197270+5 2.245900-3 1.000000+6 1.814000-3940023542 1993 1.074770+6 1.575970-3 1.188630+6 1.295590-3 1.308290+6 1.078690-3940023542 1994 1.433160+6 9.095610-4 1.554920+6 7.841840-4 1.701190+6 6.698260-4940023542 1995 1.894980+6 5.543890-4 2.044000+6 4.861800-4 2.332190+6 3.933690-4940023542 1996 2.551640+6 3.404670-4 2.842410+6 2.862890-4 3.000000+6 2.625240-4940023542 1997 3.464100+6 2.120670-4 4.000000+6 1.713070-4 4.472140+6 1.464210-4940023542 1998 5.000000+6 1.251500-4 5.732660+6 1.040560-4 6.480740+6 8.845490-5940023542 1999 7.483310+6 7.343630-5 8.485280+6 6.265580-5 1.000000+7 5.115700-5940023542 2000 1.148910+7 4.326990-5 1.349070+7 3.579510-5 1.600000+7 2.937140-5940023542 2001 1.897370+7 2.421170-5 2.200000+7 2.051610-5 2.600000+7 1.706800-5940023542 2002 3.000000+7 1.460260-5 3.464100+7 1.251460-5 4.000000+7 1.072510-5940023542 2003 4.728710+7 8.985940-6 5.477230+7 7.700380-6 6.447420+7 6.496050-6940023542 2004 7.444840+7 5.595010-6 8.944271+7 4.629040-6 1.000000+8 4.126730-6940023542 2005 940023 0 2006 9.400000+4 2.419680+2 0 0 0 0940023543 2007 1.533700+3 8.716600-1 0 0 1 103940023543 2008 103 2 0 0 0 0940023543 2009 1.533700+3 0.000000+0 1.533700+3 2.589370+4 1.813780+3 2.106950+4940023543 2010 2.156290+3 1.703400+4 2.426200+3 1.473530+4 2.795050+3 1.238250+4940023543 2011 3.334890+3 9.738470+3 3.831800+3 7.964400+3 4.316260+3 6.703350+3940023543 2012 5.057350+3 5.247250+3 5.758540+3 4.260510+3 6.436440+3 3.563820+3940023543 2013 7.231250+3 2.931480+3 8.042951+3 2.434930+3 9.014010+3 1.995860+3940023543 2014 9.987800+3 1.668820+3 1.141630+4 1.316110+3 1.243540+4 1.120600+3940023543 2015 1.367770+4 9.368540+2 1.514670+4 7.732820+2 1.660330+4 6.506350+2940023543 2016 1.877750+4 5.141820+2 2.046170+4 4.327770+2 2.251580+4 3.571950+2940023543 2017 2.494590+4 2.907990+2 2.735650+4 2.416630+2 3.097330+4 1.876200+2940023543 2018 3.381560+4 1.556040+2 3.728900+4 1.263360+2 4.124490+4 1.019080+2940023543 2019 4.604070+4 8.061260+1 5.149050+4 6.329510+1 5.582270+4 5.278390+1940023543 2020 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4.956630+4-1.442380-2 4.968020+4-1.549640-2 5.038660+4-1.997030-2940027506 3250 5.139260+4-2.686140-2 5.172570+4-3.056800-2 5.196400+4-3.490480-2940027506 3251 5.302550+4-6.027100-2 5.367690+4-7.646210-2 5.414970+4-9.331320-2940027506 3252 5.505870+4-1.213830-1 5.619690+4-1.484730-1 5.919720+4-2.163600-1940027506 3253 6.004050+4-2.382930-1 6.089290+4-2.670890-1 6.304350+4-3.309530-1940027506 3254 6.534060+4-3.973210-1 6.731850+4-4.652960-1 6.829630+4-4.947650-1940027506 3255 7.285690+4-6.562650-1 7.897710+4-8.627320-1 8.261690+4-9.958440-1940027506 3256 8.813290+4-1.215940+0 9.096060+4-1.333840+0 9.694470+4-1.610280+0940027506 3257 1.056980+5-2.128980+0 1.116180+5-2.666330+0 1.145170+5-3.054990+0940027506 3258 1.176670+5-3.715830+0 1.188320+5-4.113150+0 1.196560+5-4.523070+0940027506 3259 1.201200+5-4.838970+0 1.204470+5-5.108050+0 1.206740+5-5.317030+0940027506 3260 1.209660+5-5.602050+0 1.211330+5-5.767810+0 1.213480+5-5.970500+0940027506 3261 1.215820+5-6.170250+0 1.218460+5-6.346620+0 1.223190+5-6.462890+0940027506 3262 1.228630+5-6.259790+0 1.233220+5-5.903190+0 1.236620+5-5.535080+0940027506 3263 1.243160+5-4.893160+0 1.249390+5-4.364810+0 1.261890+5-3.681960+0940027506 3264 1.281530+5-3.016290+0 1.297040+5-2.643840+0 1.322290+5-2.189370+0940027506 3265 1.342890+5-1.908120+0 1.399880+5-1.340450+0 1.428370+5-1.123980+0940027506 3266 1.456870+5-9.590970-1 1.537600+5-5.931770-1 1.637890+5-3.040160-1940027506 3267 1.674830+5-2.132720-1 1.754680+5-9.021880-2 1.777950+5-5.269980-2940027506 3268 1.811290+5-4.835350-3 1.832980+5 1.452260-2 1.909200+5 8.346850-2940027506 3269 1.965220+5 1.368480-1 1.985320+5 1.505950-1 2.028900+5 1.623220-1940027506 3270 2.112330+5 2.100390-1 2.172720+5 2.365500-1 2.218670+5 2.383500-1940027506 3271 2.337060+5 2.704160-1 2.367260+5 2.729180-1 2.392190+5 2.677940-1940027506 3272 2.563070+5 2.921870-1 2.609290+5 2.921410-1 2.763910+5 2.776880-1940027506 3273 2.810470+5 2.772320-1 2.939340+5 2.814750-1 3.013320+5 2.705130-1940027506 3274 3.298340+5 2.612480-1 3.555900+5 2.341610-1 3.839880+5 2.158830-1940027506 3275 4.041780+5 1.909310-1 4.426730+5 1.632130-1 5.327590+5 1.122380-1940027506 3276 5.798350+5 9.188480-2 6.073490+5 7.593600-2 6.283250+5 6.885620-2940027506 3277 6.583590+5 6.046720-2 6.658310+5 5.634860-2 7.124920+5 4.563540-2940027506 3278 7.426740+5 3.961300-2 7.451590+5 3.842340-2 7.589990+5 3.495200-2940027506 3279 8.103380+5 2.785820-2 8.192230+5 2.597440-2 8.226280+5 2.482450-2940027506 3280 8.944270+5 1.228050-2 9.691080+5 3.451520-3 9.876590+5 1.360680-3940027506 3281 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0940027506 3282 940027 0 3283 9400 0 0 3284 0 0 0 3285 9.500000+4 2.409120+2 -1 0 0 19500 1451 1 0.000000+0 0.000000+0 0 0 0 69500 1451 2 0.000000+0 0.000000+0 0 0 3 69500 1451 3 0.000000+0 0.000000+0 0 0 138 399500 1451 4 95-AM- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9500 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9500 1451 6 ----ENDF/B-VI MATERIAL 9500 9500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9500 1451 8 ------ENDF-6 FORMAT 9500 1451 9 =================================================================9500 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9500 1451 11 ENDF/B-VI FORMAT 9500 1451 12 =================================================================9500 1451 13 CONTENTS 9500 1451 14 =================================================================9500 1451 15 MF/MT DESCRIPTION 9500 1451 16 =================================================================9500 1451 17 23/501 TOTAL CROSS SECTION 9500 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9500 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9500 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9500 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9500 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9500 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9500 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 50 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9500 1451 51 =================================================================9500 1451 52 27/502 COHERENT SCATTERING FORM FACTORS 9500 1451 53 27/504 INCOHERENT SCATTERING FUNCTIONS 9500 1451 54 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9500 1451 55 27/506 COHERENT REAL SCATTERING FACTOR 9500 1451 56 =================================================================9500 1451 57 WARNING 9500 1451 58 =================================================================9500 1451 59 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9500 1451 60 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9500 1451 61 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9500 1451 62 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9500 1451 63 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9500 1451 64 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9500 1451 65 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9500 1451 66 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9500 1451 67 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9500 1451 68 =================================================================9500 1451 69 DEFINITION OF NEW TYPES OF DATA 9500 1451 70 =================================================================9500 1451 71 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9500 1451 72 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9500 1451 73 9500 1451 74 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9500 1451 75 C2 FIELDS ARE, 9500 1451 76 9500 1451 77 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9500 1451 78 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9500 1451 79 9500 1451 80 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9500 1451 81 9500 1451 82 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9500 1451 83 9500 1451 84 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9500 1451 85 T = THE THOMSON CROSS SECTION 9500 1451 86 MU = THE COSINE OF THE SCATTERING ANGLE 9500 1451 87 FF(M) = THE ATOMIC FORM FACTOR 9500 1451 88 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9500 1451 89 F1(E) = THE REAL SCATTERING FACTOR 9500 1451 90 F2(E) = THE IMAGINARY SCATTERING FACTOR 9500 1451 91 9500 1451 92 F1(E) AND F2(E) ARE ISOTROPIC. 9500 1451 93 9500 1451 94 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9500 1451 95 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9500 1451 96 =================================================================9500 1451 97 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9500 1451 98 =================================================================9500 1451 99 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9500 1451 100 HERE - 10 EV TO 100 MEV 9500 1451 101 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9500 1451 102 - FLUORESCENCE AND ELECTRON SPECTRA 9500 1451 103 HERE - PHOTON INTERACTION 9500 1451 104 - AVERAGE FLUORESCENCE YIELD 9500 1451 105 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9500 1451 106 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9500 1451 107 HERE - NO SECONDARY ENERGY DATA 9500 1451 108 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9500 1451 109 INTERPOLABLE - SUMMATION CROSS SECTIONS 9500 1451 110 (E.G., TOTAL) ARE NOT INCLUDED 9500 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 9500 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9500 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9500 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 9500 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 9500 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 9500 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9500 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9500 1451 119 =================================================================9500 1451 120 REFERENCES 9500 1451 121 =================================================================9500 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9500 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9500 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9500 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9500 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9500 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9500 1451 128 9500 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9500 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9500 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9500 1451 132 OF THE DATA, ETC. 9500 1451 133 =================================================================9500 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9500 1451 135 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9500 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9500 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9500 1451 138 *RECONSTRUCTED MT NUMBERS 9500 1451 139 516 =+(515,515)+(517,517) 9500 1451 140 522 =+(534,572) 9500 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9500 1451 142 1 451 181 19500 1451 143 23 501 696 19500 1451 144 23 502 99 19500 1451 145 23 504 23 19500 1451 146 23 515 17 19500 1451 147 23 516 37 19500 1451 148 23 517 23 19500 1451 149 23 522 570 19500 1451 150 23 534 24 19500 1451 151 23 535 30 19500 1451 152 23 536 32 19500 1451 153 23 537 35 19500 1451 154 23 538 34 19500 1451 155 23 539 36 19500 1451 156 23 540 39 19500 1451 157 23 541 45 19500 1451 158 23 542 46 19500 1451 159 23 543 38 19500 1451 160 23 544 38 19500 1451 161 23 545 42 19500 1451 162 23 546 48 19500 1451 163 23 547 49 19500 1451 164 23 548 63 19500 1451 165 23 549 64 19500 1451 166 23 550 41 19500 1451 167 23 551 44 19500 1451 168 23 552 47 19500 1451 169 23 553 56 19500 1451 170 23 554 56 19500 1451 171 23 555 73 19500 1451 172 23 556 73 19500 1451 173 23 559 48 19500 1451 174 23 560 54 19500 1451 175 23 561 58 19500 1451 176 23 570 55 19500 1451 177 27 502 47 19500 1451 178 27 504 44 19500 1451 179 27 505 76 19500 1451 180 27 506 137 19500 1451 181 9500 1 0 182 9500 0 0 183 9.500000+4 2.409120+2 0 0 0 0950023501 184 0.000000+0 0.000000+0 0 0 1 2079950023501 185 2079 2 0 0 0 0950023501 186 1.000000+1 3.222070+6 1.075580+1 3.028230+6 1.118330+1 2.961750+6950023501 187 1.143200+1 2.923080+6 1.211980+1 2.867680+6 1.218810+1 2.862180+6950023501 188 1.223530+1 2.858370+6 1.288420+1 2.846870+6 1.295100+1 2.847540+6950023501 189 1.315870+1 2.849600+6 1.355400+1 2.872120+6 1.372160+1 2.887880+6950023501 190 1.394860+1 2.909210+6 1.404920+1 2.918670+6 1.422010+1 2.940570+6950023501 191 1.500000+1 3.040520+6 1.506510+1 3.057240+6 1.611850+1 3.327750+6950023501 192 1.640000+1 3.405180+6 1.640250+1 3.405870+6 1.701190+1 3.573490+6950023501 193 1.732050+1 3.663050+6 1.747770+1 3.714890+6 1.809050+1 3.916960+6950023501 194 1.844550+1 4.034020+6 1.854820+1 4.069310+6 1.872480+1 4.137100+6950023501 195 1.933160+1 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2.151150+5 2.519260-1 2.286410+5 2.035140-1 2.447070+5 1.604670-1950023541 1917 2.624580+5 1.255890-1 2.752930+5 1.062630-1 2.915270+5 8.695620-2950023541 1918 3.000000+5 7.866100-2 3.223710+5 6.188220-2 3.471900+5 4.831880-2950023541 1919 3.651980+5 4.081830-2 3.880460+5 3.333810-2 4.113140+5 2.757220-2950023541 1920 4.410200+5 2.208960-2 4.695850+5 1.809390-2 5.000000+5 1.482100-2950023541 1921 5.415170+5 1.163420-2 5.798350+5 9.453940-3 6.000000+5 8.522200-3950023541 1922 6.447420+5 6.966440-3 6.804750+5 5.989020-3 7.378210+5 4.773890-3950023541 1923 8.000000+5 3.805300-3 8.458970+5 3.287300-3 9.197270+5 2.639470-3950023541 1924 1.000000+6 2.119300-3 1.074770+6 1.840200-3 1.188630+6 1.513590-3950023541 1925 1.308290+6 1.260500-3 1.433160+6 1.062850-3 1.554920+6 9.163330-4950023541 1926 1.701190+6 7.827020-4 1.894980+6 6.478100-4 2.044000+6 5.680650-4950023541 1927 2.332190+6 4.596080-4 2.551640+6 3.977900-4 2.842410+6 3.344820-4950023541 1928 3.000000+6 3.067130-4 3.464100+6 2.476370-4 4.000000+6 1.999390-4950023541 1929 4.472140+6 1.709120-4 5.000000+6 1.460990-4 5.732660+6 1.214450-4950023541 1930 6.480740+6 1.032300-4 7.483310+6 8.570110-5 8.485280+6 7.311270-5950023541 1931 1.000000+7 5.966780-5 1.148910+7 5.048360-5 1.349070+7 4.174550-5950023541 1932 1.600000+7 3.426540-5 1.897370+7 2.823150-5 2.200000+7 2.391950-5950023541 1933 2.600000+7 1.988930-5 3.000000+7 1.702450-5 3.464100+7 1.458920-5950023541 1934 4.000000+7 1.250230-5 4.728710+7 1.047480-5 5.477230+7 8.975520-6950023541 1935 6.447420+7 7.571310-6 7.444840+7 6.521330-6 8.944271+7 5.395530-6950023541 1936 1.000000+8 4.810060-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0950023541 1937 950023 0 1938 9.500000+4 2.409120+2 0 0 0 0950023542 1939 3.892500+3 3.400700-1 0 0 1 129950023542 1940 129 2 0 0 0 0950023542 1941 3.892500+3 0.000000+0 3.892500+3 2.552310+5 3.954280+3 2.503230+5950023542 1942 4.132000+3 2.193400+5 4.415290+3 1.851330+5 4.877540+3 1.419390+5950023542 1943 5.300380+3 1.116190+5 5.712190+3 8.991050+4 6.156000+3 7.242400+4950023542 1944 6.572741+3 5.943820+4 6.903710+3 5.125110+4 7.431670+3 4.103540+4950023542 1945 8.000000+3 3.285600+4 8.637790+3 2.581740+4 9.101571+3 2.190410+4950023542 1946 9.691081+3 1.798290+4 1.051990+4 1.379020+4 1.121240+4 1.117980+4950023542 1947 1.182690+4 9.379020+3 1.255090+4 7.712800+3 1.337590+4 6.254600+3950023542 1948 1.416470+4 5.179500+3 1.500000+4 4.289200+3 1.611850+4 3.348550+3950023542 1949 1.735950+4 2.594040+3 1.825990+4 2.179600+3 1.940230+4 1.768710+3950023542 1950 2.051330+4 1.455350+3 2.199390+4 1.134500+3 2.286410+4 9.875970+2950023542 1951 2.447070+4 7.747910+2 2.624580+4 6.032480+2 2.752930+4 5.086160+2950023542 1952 2.915270+4 4.144410+2 3.097330+4 3.322840+2 3.288400+4 2.660520+2950023542 1953 3.465240+4 2.190240+2 3.706180+4 1.706400+2 3.847530+4 1.484970+2950023542 1954 4.107990+4 1.164340+2 4.395060+4 9.060230+1 4.602210+4 7.635940+1950023542 1955 4.863720+4 6.219140+1 5.221370+4 4.757960+1 5.542310+4 3.789960+1950023542 1956 5.854120+4 3.076040+1 6.246270+4 2.402240+1 6.624730+4 1.919550+1950023542 1957 6.974640+4 1.577460+1 7.450910+4 1.226220+1 7.730070+4 1.065750+1950023542 1958 8.243990+4 8.338000+0 8.809779+4 6.473450+0 9.217660+4 5.447360+0950023542 1959 9.732110+4 4.428400+0 1.025670+5 3.626040+0 1.075580+5 3.026720+0950023542 1960 1.143200+5 2.400390+0 1.218350+5 1.884330+0 1.283370+5 1.546350+0950023542 1961 1.356890+5 1.251190+0 1.426650+5 1.034040+0 1.500000+5 8.545800-1950023542 1962 1.604630+5 6.654060-1 1.695460+5 5.424290-1 1.798500+5 4.357730-1950023542 1963 1.896570+5 3.578370-1 2.000000+5 2.938400-1 2.151150+5 2.266550-1950023542 1964 2.286410+5 1.823900-1 2.447070+5 1.431900-1 2.624580+5 1.115690-1950023542 1965 2.752930+5 9.411370-2 2.915270+5 7.673360-2 3.000000+5 6.928700-2950023542 1966 3.223710+5 5.446680-2 3.471900+5 4.249580-2 3.651980+5 3.588030-2950023542 1967 3.880460+5 2.928650-2 4.113140+5 2.423640-2 4.410200+5 1.946290-2950023542 1968 4.695850+5 1.597610-2 5.000000+5 1.311400-2 5.415170+5 1.034990-2950023542 1969 5.798350+5 8.449300-3 6.000000+5 7.634200-3 6.447420+5 6.275900-3950023542 1970 6.804750+5 5.418270-3 7.378210+5 4.346480-3 8.000000+5 3.486700-3950023542 1971 8.458970+5 3.023770-3 9.197270+5 2.442020-3 1.000000+6 1.972200-3950023542 1972 1.074770+6 1.712470-3 1.188630+6 1.408530-3 1.308290+6 1.173010-3950023542 1973 1.433160+6 9.890780-4 1.554920+6 8.527310-4 1.701190+6 7.283750-4950023542 1974 1.894980+6 6.028460-4 2.044000+6 5.286360-4 2.332190+6 4.277070-4950023542 1975 2.551640+6 3.701790-4 2.842410+6 3.112660-4 3.000000+6 2.854240-4950023542 1976 3.464100+6 2.304490-4 4.000000+6 1.860620-4 4.472140+6 1.590490-4950023542 1977 5.000000+6 1.359580-4 5.732660+6 1.130150-4 6.480740+6 9.606460-5950023542 1978 7.483310+6 7.975260-5 8.485280+6 6.803790-5 1.000000+7 5.552630-5950023542 1979 1.148910+7 4.697960-5 1.349070+7 3.884790-5 1.600000+7 3.188700-5950023542 1980 1.897370+7 2.627200-5 2.200000+7 2.225920-5 2.600000+7 1.850880-5950023542 1981 3.000000+7 1.584280-5 3.464100+7 1.357660-5 4.000000+7 1.163450-5950023542 1982 4.728710+7 9.747730-6 5.477230+7 8.352530-6 6.447420+7 7.045790-6950023542 1983 7.444840+7 6.068680-6 8.944271+7 5.021030-6 1.000000+8 4.476200-6950023542 1984 950023 0 1985 9.500000+4 2.409120+2 0 0 0 0950023543 1986 1.595200+3 9.693100-1 0 0 1 103950023543 1987 103 2 0 0 0 0950023543 1988 1.595200+3 0.000000+0 1.595200+3 2.466510+4 1.878030+3 2.016570+4950023543 1989 2.145830+3 1.710730+4 2.475270+3 1.434320+4 2.814800+3 1.223950+4950023543 1990 3.384420+3 9.622970+3 3.890590+3 7.841020+3 4.410550+3 6.521241+3950023543 1991 5.000000+3 5.423600+3 5.623410+3 4.475500+3 6.141471+3 3.874870+3950023543 1992 7.009410+3 3.121620+3 8.000000+3 2.514800+3 8.676071+3 2.179970+3950023543 1993 9.798791+3 1.759420+3 1.106680+4 1.420000+3 1.248470+4 1.133480+3950023543 1994 1.377640+4 9.429430+2 1.530900+4 7.741880+2 1.683360+4 6.482930+2950023543 1995 1.907720+4 5.110710+2 2.072800+4 4.329020+2 2.273520+4 3.598370+2950023543 1996 2.510190+4 2.951810+2 2.744190+4 2.469860+2 3.097330+4 1.931150+2950023543 1997 3.381560+4 1.602700+2 3.728900+4 1.302230+2 4.124490+4 1.051250+2950023543 1998 4.604070+4 8.322870+1 5.149050+4 6.540570+1 5.582270+4 5.457780+1950023543 1999 6.107740+4 4.461540+1 6.725750+4 3.595020+1 7.335260+4 2.960030+1950023543 2000 8.000000+4 2.437200+1 8.653960+4 2.026610+1 9.552970+4 1.606910+1950023543 2001 1.037680+5 1.323260+1 1.137810+5 1.065890+1 1.251200+5 8.527970+0950023543 2002 1.334930+5 7.324870+0 1.442820+5 6.103020+0 1.566410+5 5.022330+0950023543 2003 1.698960+5 4.135290+0 1.885620+5 3.222510+0 2.049710+5 2.639360+0950023543 2004 2.197960+5 2.233260+0 2.375720+5 1.854100+0 2.582160+5 1.518990+0950023543 2005 2.783250+5 1.269510+0 3.000000+5 1.061000+0 3.288400+5 8.585720-1950023543 2006 3.550980+5 7.191640-1 3.868160+5 5.903840-1 4.239490+5 4.778820-1950023543 2007 4.604070+5 3.950830-1 5.000000+5 3.266300-1 5.302550+5 2.878040-1950023543 2008 5.876740+5 2.306300-1 6.534060+5 1.835400-1 7.023900+5 1.570740-1950023543 2009 7.660420+5 1.303030-1 8.000000+5 1.186800-1 8.944270+5 9.463020-2950023543 2010 1.000000+6 7.545400-2 1.074770+6 6.551710-2 1.188630+6 5.388860-2950023543 2011 1.308290+6 4.487790-2 1.433160+6 3.784090-2 1.554920+6 3.262450-2950023543 2012 1.701190+6 2.786670-2 1.894980+6 2.306420-2 2.044000+6 2.022500-2950023543 2013 2.332190+6 1.636360-2 2.551640+6 1.416260-2 2.842410+6 1.190870-2950023543 2014 3.000000+6 1.092000-2 3.464100+6 8.816690-3 4.000000+6 7.118500-3950023543 2015 4.472140+6 6.085030-3 5.000000+6 5.201600-3 5.732660+6 4.323830-3950023543 2016 6.480740+6 3.675320-3 7.483310+6 3.051240-3 8.485280+6 2.603050-3950023543 2017 1.000000+7 2.124370-3 1.148910+7 1.797390-3 1.349070+7 1.486280-3950023543 2018 1.600000+7 1.219960-3 1.897370+7 1.005130-3 2.200000+7 8.516110-4950023543 2019 2.600000+7 7.081230-4 3.000000+7 6.061280-4 3.464100+7 5.194240-4950023543 2020 4.000000+7 4.451230-4 4.728710+7 3.729370-4 5.477230+7 3.195580-4950023543 2021 6.447420+7 2.695640-4 7.444840+7 2.321810-4 8.944271+7 1.920990-4950023543 2022 1.000000+8 1.712540-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0950023543 2023 950023 0 2024 9.500000+4 2.409120+2 0 0 0 0950023544 2025 1.428200+3 7.381800-1 0 0 1 103950023544 2026 103 2 0 0 0 0950023544 2027 1.428200+3 0.000000+0 1.428200+3 2.141260+4 1.500000+3 2.007200+4950023544 2028 1.825100+3 1.893520+4 3.129340+3 1.262280+4 3.759290+3 1.024300+4950023544 2029 4.373950+3 8.441861+3 5.125720+3 6.764630+3 5.804310+3 5.609750+3950023544 2030 6.830800+3 4.357210+3 7.521130+3 3.699340+3 8.442241+3 3.039640+3950023544 2031 9.752350+3 2.340280+3 1.092480+4 1.888880+3 1.204130+4 1.571940+3950023544 2032 1.372450+4 1.214590+3 1.528770+4 9.767250+2 1.676870+4 8.102820+2950023544 2033 1.851970+4 6.559560+2 2.032270+4 5.336870+2 2.178930+4 4.571880+2950023544 2034 2.419000+4 3.625000+2 2.685520+4 2.874230+2 2.966790+4 2.269160+2950023544 2035 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2.624580+4-5.339100+0950027506 3213 2.663240+4-4.868120+0 2.756040+4-3.854640+0 2.787500+4-3.581340+0950027506 3214 2.842440+4-3.202100+0 2.941770+4-2.588600+0 3.056030+4-1.987150+0950027506 3215 3.116800+4-1.727750+0 3.231300+4-1.391120+0 3.390920+4-9.860710-1950027506 3216 3.425500+4-9.118840-1 3.496660+4-7.886860-1 3.521000+4-7.436890-1950027506 3217 3.674860+4-5.309110-1 3.731710+4-4.640150-1 3.780220+4-4.214420-1950027506 3218 3.823460+4-3.757480-1 3.926460+4-2.819120-1 4.005770+4-2.350620-1950027506 3219 4.052200+4-2.127260-1 4.090200+4-2.038520-1 4.178060+4-1.636660-1950027506 3220 4.254630+4-1.266270-1 4.322310+4-9.821030-2 4.351700+4-8.752410-2950027506 3221 4.410520+4-7.771570-2 4.503640+4-6.017920-2 4.602210+4-3.673790-2950027506 3222 4.637690+4-2.723220-2 4.668290+4-2.136950-2 4.709650+4-1.773890-2950027506 3223 4.713890+4-1.751230-2 4.771010+4-2.380470-2 4.854860+4-2.982690-2950027506 3224 4.883090+4-3.110900-2 4.894130+4-3.139280-2 4.947620+4-2.918390-2950027506 3225 4.964780+4-2.772890-2 5.136100+4-2.151380-2 5.208310+4-2.725360-2950027506 3226 5.274500+4-3.662210-2 5.290050+4-3.925780-2 5.367610+4-5.361080-2950027506 3227 5.403830+4-5.983270-2 5.542310+4-1.026580-1 5.876740+4-1.772860-1950027506 3228 5.913190+4-1.848350-1 5.975380+4-2.005180-1 6.110070+4-2.438890-1950027506 3229 6.534060+4-3.608450-1 6.727400+4-4.217710-1 7.054240+4-5.183270-1950027506 3230 7.206050+4-5.674130-1 7.562610+4-6.958590-1 8.243750+4-9.146320-1950027506 3231 8.857129+4-1.148780+0 9.303579+4-1.321990+0 9.909420+4-1.590330+0950027506 3232 1.087920+5-2.158720+0 1.145140+5-2.654610+0 1.176400+5-3.065860+0950027506 3233 1.208200+5-3.722890+0 1.220150+5-4.125270+0 1.228050+5-4.509110+0950027506 3234 1.232810+5-4.822390+0 1.236160+5-5.089300+0 1.238490+5-5.296620+0950027506 3235 1.241490+5-5.579430+0 1.243210+5-5.743860+0 1.245410+5-5.944920+0950027506 3236 1.247820+5-6.143170+0 1.251200+5-6.335100+0 1.255210+5-6.434120+0950027506 3237 1.259890+5-6.304970+0 1.265520+5-5.887590+0 1.268510+5-5.578760+0950027506 3238 1.274990+5-4.961890+0 1.278070+5-4.668980+0 1.290040+5-3.910670+0950027506 3239 1.300760+5-3.448090+0 1.319530+5-2.891200+0 1.347680+5-2.321640+0950027506 3240 1.375830+5-1.932540+0 1.435250+5-1.358890+0 1.465770+5-1.137970+0950027506 3241 1.496520+5-9.707160-1 1.566410+5-6.514940-1 1.604630+5-5.085780-1950027506 3242 1.643940+5-4.039730-1 1.746810+5-1.778090-1 1.808780+5-9.896710-2950027506 3243 1.882500+5-8.885270-4 1.911270+5 3.752880-2 1.933000+5 5.805980-2950027506 3244 2.003010+5 9.869890-2 2.076100+5 1.564320-1 2.130910+5 1.886300-1950027506 3245 2.185160+5 1.987510-1 2.266110+5 2.280600-1 2.319940+5 2.318380-1950027506 3246 2.437980+5 2.600760-1 2.468410+5 2.627810-1 2.492520+5 2.592160-1950027506 3247 2.624580+5 2.691130-1 2.668810+5 2.637700-1 2.824870+5 2.688080-1950027506 3248 2.933070+5 2.612740-1 3.054510+5 2.630630-1 3.133010+5 2.529880-1950027506 3249 3.343320+5 2.483670-1 3.435360+5 2.365740-1 3.651980+5 2.246010-1950027506 3250 3.709930+5 2.156320-1 4.018320+5 1.953300-1 4.060570+5 1.870720-1950027506 3251 4.113140+5 1.817070-1 4.410200+5 1.636120-1 5.302550+5 1.127940-1950027506 3252 5.822050+5 9.010590-2 6.072610+5 7.532220-2 6.183830+5 7.102690-2950027506 3253 6.555980+5 6.061750-2 6.654700+5 5.555190-2 7.109580+5 4.536670-2950027506 3254 7.426810+5 3.924170-2 7.499790+5 3.651440-2 7.590050+5 3.451860-2950027506 3255 8.114360+5 2.736000-2 8.192240+5 2.568090-2 8.226280+5 2.450390-2950027506 3256 8.944270+5 1.208160-2 9.590240+5 4.519330-3 1.000000+6 0.000000+0950027506 3257 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0950027506 3258 950027 0 3259 9500 0 0 3260 0 0 0 3261 9.600000+4 2.448780+2 -1 0 0 19600 1451 1 0.000000+0 0.000000+0 0 0 0 69600 1451 2 0.000000+0 0.000000+0 0 0 3 69600 1451 3 0.000000+0 0.000000+0 0 0 140 419600 1451 4 96-CM- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9600 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9600 1451 6 ----ENDF/B-VI MATERIAL 9600 9600 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9600 1451 8 ------ENDF-6 FORMAT 9600 1451 9 =================================================================9600 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9600 1451 11 ENDF/B-VI FORMAT 9600 1451 12 =================================================================9600 1451 13 CONTENTS 9600 1451 14 =================================================================9600 1451 15 MF/MT DESCRIPTION 9600 1451 16 =================================================================9600 1451 17 23/501 TOTAL CROSS SECTION 9600 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9600 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9600 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9600 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9600 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9600 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9600 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 50 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 51 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 52 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9600 1451 53 =================================================================9600 1451 54 27/502 COHERENT SCATTERING FORM FACTORS 9600 1451 55 27/504 INCOHERENT SCATTERING FUNCTIONS 9600 1451 56 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9600 1451 57 27/506 COHERENT REAL SCATTERING FACTOR 9600 1451 58 =================================================================9600 1451 59 WARNING 9600 1451 60 =================================================================9600 1451 61 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9600 1451 62 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9600 1451 63 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9600 1451 64 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9600 1451 65 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9600 1451 66 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9600 1451 67 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9600 1451 68 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9600 1451 69 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9600 1451 70 =================================================================9600 1451 71 DEFINITION OF NEW TYPES OF DATA 9600 1451 72 =================================================================9600 1451 73 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9600 1451 74 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9600 1451 75 9600 1451 76 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9600 1451 77 C2 FIELDS ARE, 9600 1451 78 9600 1451 79 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9600 1451 80 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9600 1451 81 9600 1451 82 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9600 1451 83 9600 1451 84 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9600 1451 85 9600 1451 86 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9600 1451 87 T = THE THOMSON CROSS SECTION 9600 1451 88 MU = THE COSINE OF THE SCATTERING ANGLE 9600 1451 89 FF(M) = THE ATOMIC FORM FACTOR 9600 1451 90 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9600 1451 91 F1(E) = THE REAL SCATTERING FACTOR 9600 1451 92 F2(E) = THE IMAGINARY SCATTERING FACTOR 9600 1451 93 9600 1451 94 F1(E) AND F2(E) ARE ISOTROPIC. 9600 1451 95 9600 1451 96 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9600 1451 97 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9600 1451 98 =================================================================9600 1451 99 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9600 1451 100 =================================================================9600 1451 101 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9600 1451 102 HERE - 10 EV TO 100 MEV 9600 1451 103 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9600 1451 104 - FLUORESCENCE AND ELECTRON SPECTRA 9600 1451 105 HERE - PHOTON INTERACTION 9600 1451 106 - AVERAGE FLUORESCENCE YIELD 9600 1451 107 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9600 1451 108 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9600 1451 109 HERE - NO SECONDARY ENERGY DATA 9600 1451 110 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9600 1451 111 INTERPOLABLE - SUMMATION CROSS SECTIONS 9600 1451 112 (E.G., TOTAL) ARE NOT INCLUDED 9600 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 9600 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9600 1451 115 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9600 1451 116 ORDER TO ALLOW CROSS SECTIONS DEFINED 9600 1451 117 BY SUMMATION (E.G., TOTAL) TO BE 9600 1451 118 CONSISTENTLY DEFINED AT ALL ENERGIES. 9600 1451 119 - FORM FACTORS ARE LOG X VS. LOG Y 9600 1451 120 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9600 1451 121 =================================================================9600 1451 122 REFERENCES 9600 1451 123 =================================================================9600 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9600 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9600 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9600 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9600 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9600 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9600 1451 130 9600 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9600 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9600 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9600 1451 134 OF THE DATA, ETC. 9600 1451 135 =================================================================9600 1451 136 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9600 1451 137 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9600 1451 138 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9600 1451 139 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9600 1451 140 *RECONSTRUCTED MT NUMBERS 9600 1451 141 516 =+(515,515)+(517,517) 9600 1451 142 522 =+(534,572) 9600 1451 143 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9600 1451 144 1 451 185 19600 1451 145 23 501 735 19600 1451 146 23 502 95 19600 1451 147 23 504 23 19600 1451 148 23 515 17 19600 1451 149 23 516 37 19600 1451 150 23 517 23 19600 1451 151 23 522 614 19600 1451 152 23 534 24 19600 1451 153 23 535 29 19600 1451 154 23 536 32 19600 1451 155 23 537 34 19600 1451 156 23 538 34 19600 1451 157 23 539 35 19600 1451 158 23 540 39 19600 1451 159 23 541 44 19600 1451 160 23 542 45 19600 1451 161 23 543 37 19600 1451 162 23 544 38 19600 1451 163 23 545 42 19600 1451 164 23 546 48 19600 1451 165 23 547 48 19600 1451 166 23 548 63 19600 1451 167 23 549 64 19600 1451 168 23 550 41 19600 1451 169 23 551 43 19600 1451 170 23 552 46 19600 1451 171 23 553 57 19600 1451 172 23 554 57 19600 1451 173 23 555 74 19600 1451 174 23 556 75 19600 1451 175 23 559 48 19600 1451 176 23 560 53 19600 1451 177 23 561 56 19600 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1.393730-3 2.600000+7 1.159660-3 3.000000+7 9.926050-4960023539 1928 3.464100+7 8.503750-4 4.000000+7 7.285250-4 4.728710+7 6.103320-4960023539 1929 5.477230+7 5.229560-4 6.447420+7 4.411440-4 7.444840+7 3.799800-4960023539 1930 8.944271+7 3.144030-4 1.000000+8 2.802990-4 0.000000+0 0.000000+0960023539 1931 960023 0 1932 9.600000+4 2.448780+2 0 0 0 0960023540 1933 4.829000+3 7.386600+1 0 0 1 106960023540 1934 106 2 0 0 0 0960023540 1935 4.829000+3 0.000000+0 4.829000+3 6.384580+4 5.620940+3 4.973340+4960023540 1936 6.319000+3 4.057900+4 7.109991+3 3.230310+4 8.000000+3 2.571500+4960023540 1937 8.944270+3 2.041230+4 1.000000+4 1.620300+4 1.110190+4 1.286050+4960023540 1938 1.192210+4 1.098610+4 1.298660+4 9.093890+3 1.422940+4 7.362270+3960023540 1939 1.549350+4 6.002100+3 1.697260+4 4.822340+3 1.842420+4 3.960210+3960023540 1940 2.051330+4 3.046380+3 2.199390+4 2.545100+3 2.376880+4 2.083300+3960023540 1941 2.582970+4 1.681080+3 2.783680+4 1.385930+3 3.000000+4 1.142600+3960023540 1942 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5.406820-1 4.410200+5 4.465020-1960023540 1955 4.795120+5 3.548790-1 5.000000+5 3.163800-1 5.477230+5 2.488730-1960023540 1956 6.000000+5 1.957700-1 6.623670+5 1.531420-1 7.085680+5 1.295320-1960023540 1957 7.682820+5 1.059530-1 8.226280+5 8.982010-2 8.820400+5 7.640110-2960023540 1958 9.590240+5 6.291730-2 1.022000+6 5.470560-2 1.130270+6 4.498410-2960023540 1959 1.250000+6 3.699010-2 1.369310+6 3.118760-2 1.500000+6 2.629540-2960023540 1960 1.701190+6 2.108540-2 1.894980+6 1.744960-2 2.044000+6 1.530500-2960023540 1961 2.332190+6 1.238200-2 2.551640+6 1.071610-2 2.842410+6 9.010110-3960023540 1962 3.000000+6 8.261840-3 3.464100+6 6.670350-3 4.000000+6 5.385430-3960023540 1963 4.472140+6 4.601940-3 5.000000+6 3.932440-3 5.732660+6 3.268860-3960023540 1964 6.480740+6 2.778220-3 7.483310+6 2.305950-3 8.485280+6 1.967160-3960023540 1965 1.000000+7 1.605320-3 1.148910+7 1.357740-3 1.349070+7 1.122850-3960023540 1966 1.600000+7 9.211680-4 1.897370+7 7.592120-4 2.200000+7 6.429360-4960023540 1967 2.600000+7 5.349580-4 3.000000+7 4.578960-4 3.464100+7 3.922840-4960023540 1968 4.000000+7 3.360740-4 4.728710+7 2.815510-4 5.477230+7 2.412430-4960023540 1969 6.447420+7 2.035030-4 7.444840+7 1.752880-4 8.944271+7 1.450360-4960023540 1970 1.000000+8 1.293040-4 0.000000+0 0.000000+0 0.000000+0 0.000000+0960023540 1971 960023 0 1972 9.600000+4 2.448780+2 0 0 0 0960023541 1973 4.237200+3 2.201200+2 0 0 1 123960023541 1974 123 2 0 0 0 0960023541 1975 4.237200+3 0.000000+0 4.237200+3 1.497180+5 4.697650+3 1.196220+5960023541 1976 5.335130+3 8.557650+4 5.683860+3 7.166890+4 6.132540+3 5.792980+4960023541 1977 6.743370+3 4.409850+4 7.266830+3 3.544680+4 7.747741+3 2.939550+4960023541 1978 8.458970+3 2.259500+4 9.101571+3 1.808790+4 9.691081+3 1.494740+4960023541 1979 1.038740+4 1.205450+4 1.110190+4 9.775550+3 1.192210+4 7.809650+3960023541 1980 1.271190+4 6.380770+3 1.355400+4 5.213320+3 1.453540+4 4.133130+3960023541 1981 1.541130+4 3.403170+3 1.644890+4 2.740940+3 1.763820+4 2.173700+3960023541 1982 1.878200+4 1.764300+3 2.000000+4 1.432000+3 2.151150+4 1.113130+3960023541 1983 2.286410+4 9.015480+2 2.447070+4 7.128940+2 2.624580+4 5.595970+2960023541 1984 2.752930+4 4.744410+2 2.915270+4 3.891800+2 3.097330+4 3.143640+2960023541 1985 3.288400+4 2.536550+2 3.465240+4 2.102330+2 3.706180+4 1.652170+2960023541 1986 3.847530+4 1.444730+2 4.107990+4 1.142400+2 4.395060+4 8.967310+1960023541 1987 4.602210+4 7.602650+1 4.863720+4 6.236320+1 5.221370+4 4.816920+1960023541 1988 5.542310+4 3.868710+1 5.854120+4 3.163820+1 6.259340+4 2.473960+1960023541 1989 6.636860+4 1.994920+1 6.985820+4 1.652500+1 7.450910+4 1.303990+1960023541 1990 7.863900+4 1.069490+1 8.350810+4 8.576250+0 8.735670+4 7.267550+0960023541 1991 9.346479+4 5.669210+0 1.000000+5 4.422400+0 1.051990+5 3.671530+0960023541 1992 1.121240+5 2.905380+0 1.182690+5 2.388530+0 1.255090+5 1.920400+0960023541 1993 1.337590+5 1.520150+0 1.416470+5 1.231770+0 1.500000+5 9.981000-1960023541 1994 1.604630+5 7.828780-1 1.695460+5 6.420250-1 1.798500+5 5.191070-1960023541 1995 1.896570+5 4.287370-1 2.000000+5 3.541000-1 2.151150+5 2.745310-1960023541 1996 2.286410+5 2.218600-1 2.447070+5 1.750060-1 2.624580+5 1.370280-1960023541 1997 2.752930+5 1.159760-1 2.915270+5 9.493840-2 3.000000+5 8.589700-2960023541 1998 3.223710+5 6.760110-2 3.471900+5 5.280550-2 3.651980+5 4.462080-2960023541 1999 3.880460+5 3.645580-2 4.113140+5 3.015970-2 4.410200+5 2.417060-2960023541 2000 4.695850+5 1.980450-2 5.000000+5 1.622700-2 5.415170+5 1.274250-2960023541 2001 5.798350+5 1.035780-2 6.000000+5 9.338400-3 6.447420+5 7.635770-3960023541 2002 6.804750+5 6.565810-3 7.378210+5 5.235290-3 8.000000+5 4.174400-3960023541 2003 8.458970+5 3.606910-3 9.197270+5 2.896990-3 1.000000+6 2.326800-3960023541 2004 1.074770+6 2.021610-3 1.188630+6 1.662360-3 1.308290+6 1.384170-3960023541 2005 1.433160+6 1.167040-3 1.554920+6 1.006080-3 1.701190+6 8.592830-4960023541 2006 1.894980+6 7.111140-4 2.044000+6 6.237160-4 2.332190+6 5.045980-4960023541 2007 2.551640+6 4.367070-4 2.842410+6 3.671840-4 3.000000+6 3.366900-4960023541 2008 3.464100+6 2.718330-4 4.000000+6 2.194690-4 4.472140+6 1.875400-4960023541 2009 5.000000+6 1.602560-4 5.732660+6 1.332130-4 6.480740+6 1.132190-4960023541 2010 7.483310+6 9.397320-5 8.485280+6 8.016650-5 1.000000+7 6.542080-5960023541 2011 1.148910+7 5.533130-5 1.349070+7 4.575900-5 1.600000+7 3.753980-5960023541 2012 1.897370+7 3.093970-5 2.200000+7 2.620120-5 2.600000+7 2.180090-5960023541 2013 3.000000+7 1.866040-5 3.464100+7 1.598650-5 4.000000+7 1.369580-5960023541 2014 4.728710+7 1.147380-5 5.477230+7 9.831230-6 6.447420+7 8.293230-6960023541 2015 7.444840+7 7.143390-6 8.944271+7 5.910580-6 1.000000+8 5.269450-6960023541 2016 960023 0 2017 9.600000+4 2.448780+2 0 0 0 0960023542 2018 4.015600+3 3.550900-1 0 0 1 126960023542 2019 126 2 0 0 0 0960023542 2020 4.015600+3 0.000000+0 4.015600+3 2.358410+5 4.134530+3 2.262590+5960023542 2021 4.493030+3 1.827790+5 4.824950+3 1.522250+5 5.312050+3 1.164960+5960023542 2022 5.751370+3 9.246329+4 6.156730+3 7.585090+4 6.743370+3 5.785140+4960023542 2023 7.266830+3 4.616840+4 7.747741+3 3.805150+4 8.458970+3 2.900770+4960023542 2024 9.101571+3 2.306380+4 9.691081+3 1.894850+4 1.038740+4 1.518230+4960023542 2025 1.110190+4 1.223520+4 1.192210+4 9.709321+3 1.271190+4 7.885130+3960023542 2026 1.355400+4 6.403670+3 1.453540+4 5.042140+3 1.541130+4 4.127880+3960023542 2027 1.644890+4 3.303440+3 1.759210+4 2.625310+3 1.893010+4 2.043270+3960023542 2028 2.051330+4 1.546880+3 2.199390+4 1.206670+3 2.286410+4 1.050810+3960023542 2029 2.447070+4 8.249250+2 2.624580+4 6.427160+2 2.752930+4 5.421420+2960023542 2030 2.915270+4 4.420030+2 3.097330+4 3.545880+2 3.288400+4 2.840720+2960023542 2031 3.465240+4 2.339750+2 3.706180+4 1.824050+2 3.847530+4 1.587920+2960023542 2032 4.107990+4 1.245830+2 4.395060+4 9.700640+1 4.602210+4 8.179260+1960023542 2033 4.863720+4 6.665150+1 5.221370+4 5.102400+1 5.542310+4 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3.779790-2960027506 3457 7.682820+5 3.302430-2 8.052980+5 2.381320-2 8.820400+5 1.320970-2960027506 3458 9.267020+5 7.966300-3 9.691080+5 3.267170-3 1.000000+6 0.000000+0960027506 3459 1.000000+8 0.000000+0 0.000000+0 0.000000+0 0.000000+0 0.000000+0960027506 3460 960027 0 3461 9600 0 0 3462 0 0 0 3463 9.700000+4 2.448780+2 -1 0 0 19700 1451 1 0.000000+0 0.000000+0 0 0 0 69700 1451 2 0.000000+0 0.000000+0 0 0 3 69700 1451 3 0.000000+0 0.000000+0 0 0 140 419700 1451 4 97-BK- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9700 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9700 1451 6 ----ENDF/B-VI MATERIAL 9700 9700 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9700 1451 8 ------ENDF-6 FORMAT 9700 1451 9 =================================================================9700 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9700 1451 11 ENDF/B-VI FORMAT 9700 1451 12 =================================================================9700 1451 13 CONTENTS 9700 1451 14 =================================================================9700 1451 15 MF/MT DESCRIPTION 9700 1451 16 =================================================================9700 1451 17 23/501 TOTAL CROSS SECTION 9700 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9700 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9700 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9700 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9700 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9700 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9700 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 50 23/562 P4 (6D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 51 23/563 P5 (6D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 52 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9700 1451 53 =================================================================9700 1451 54 27/502 COHERENT SCATTERING FORM FACTORS 9700 1451 55 27/504 INCOHERENT SCATTERING FUNCTIONS 9700 1451 56 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9700 1451 57 27/506 COHERENT REAL SCATTERING FACTOR 9700 1451 58 =================================================================9700 1451 59 WARNING 9700 1451 60 =================================================================9700 1451 61 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9700 1451 62 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9700 1451 63 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9700 1451 64 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9700 1451 65 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9700 1451 66 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9700 1451 67 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9700 1451 68 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9700 1451 69 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9700 1451 70 =================================================================9700 1451 71 DEFINITION OF NEW TYPES OF DATA 9700 1451 72 =================================================================9700 1451 73 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9700 1451 74 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9700 1451 75 9700 1451 76 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9700 1451 77 C2 FIELDS ARE, 9700 1451 78 9700 1451 79 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9700 1451 80 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9700 1451 81 9700 1451 82 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9700 1451 83 9700 1451 84 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9700 1451 85 9700 1451 86 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9700 1451 87 T = THE THOMSON CROSS SECTION 9700 1451 88 MU = THE COSINE OF THE SCATTERING ANGLE 9700 1451 89 FF(M) = THE ATOMIC FORM FACTOR 9700 1451 90 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9700 1451 91 F1(E) = THE REAL SCATTERING FACTOR 9700 1451 92 F2(E) = THE IMAGINARY SCATTERING FACTOR 9700 1451 93 9700 1451 94 F1(E) AND F2(E) ARE ISOTROPIC. 9700 1451 95 9700 1451 96 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9700 1451 97 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9700 1451 98 =================================================================9700 1451 99 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9700 1451 100 =================================================================9700 1451 101 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9700 1451 102 HERE - 10 EV TO 100 MEV 9700 1451 103 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9700 1451 104 - FLUORESCENCE AND ELECTRON SPECTRA 9700 1451 105 HERE - PHOTON INTERACTION 9700 1451 106 - AVERAGE FLUORESCENCE YIELD 9700 1451 107 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9700 1451 108 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9700 1451 109 HERE - NO SECONDARY ENERGY DATA 9700 1451 110 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9700 1451 111 INTERPOLABLE - SUMMATION CROSS SECTIONS 9700 1451 112 (E.G., TOTAL) ARE NOT INCLUDED 9700 1451 113 - FORM FACTORS ARE LOG X VS. LOG Y 9700 1451 114 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9700 1451 115 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9700 1451 116 ORDER TO ALLOW CROSS SECTIONS DEFINED 9700 1451 117 BY SUMMATION (E.G., TOTAL) TO BE 9700 1451 118 CONSISTENTLY DEFINED AT ALL ENERGIES. 9700 1451 119 - FORM FACTORS ARE LOG X VS. LOG Y 9700 1451 120 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9700 1451 121 =================================================================9700 1451 122 REFERENCES 9700 1451 123 =================================================================9700 1451 124 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9700 1451 125 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9700 1451 126 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9700 1451 127 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9700 1451 128 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9700 1451 129 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9700 1451 130 9700 1451 131 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9700 1451 132 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9700 1451 133 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9700 1451 134 OF THE DATA, ETC. 9700 1451 135 =================================================================9700 1451 136 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9700 1451 137 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9700 1451 138 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9700 1451 139 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9700 1451 140 *RECONSTRUCTED MT NUMBERS 9700 1451 141 516 =+(515,515)+(517,517) 9700 1451 142 522 =+(534,572) 9700 1451 143 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9700 1451 144 1 451 185 19700 1451 145 23 501 707 19700 1451 146 23 502 95 19700 1451 147 23 504 23 19700 1451 148 23 515 17 19700 1451 149 23 516 37 19700 1451 150 23 517 23 19700 1451 151 23 522 584 19700 1451 152 23 534 24 19700 1451 153 23 535 30 19700 1451 154 23 536 32 19700 1451 155 23 537 34 19700 1451 156 23 538 33 19700 1451 157 23 539 35 19700 1451 158 23 540 39 19700 1451 159 23 541 44 19700 1451 160 23 542 46 19700 1451 161 23 543 37 19700 1451 162 23 544 38 19700 1451 163 23 545 42 19700 1451 164 23 546 48 19700 1451 165 23 547 49 19700 1451 166 23 548 63 19700 1451 167 23 549 64 19700 1451 168 23 550 41 19700 1451 169 23 551 43 19700 1451 170 23 552 46 19700 1451 171 23 553 56 19700 1451 172 23 554 54 19700 1451 173 23 555 74 19700 1451 174 23 556 74 19700 1451 175 23 559 48 19700 1451 176 23 560 53 19700 1451 177 23 561 56 19700 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7.237480+6 1.670870+1 7.140770+6970023501 199 1.701190+1 6.966150+6 1.757230+1 6.671550+6 1.771420+1 6.596950+6970023501 200 1.795470+1 6.478870+6 1.844550+1 6.256740+6 1.864740+1 6.173970+6970023501 201 1.929360+1 5.909070+6 1.959950+1 5.799340+6 1.980960+1 5.732580+6970023501 202 1.998490+1 5.676880+6 2.000000+1 5.672080+6 2.045170+1 5.547770+6970023501 203 2.080840+1 5.449600+6 2.122480+1 5.348640+6 2.164950+1 5.264360+6970023501 204 2.176680+1 5.250150+6 2.188100+1 5.237590+6 2.252460+1 5.166800+6970023501 205 2.265810+1 5.155370+6 2.320380+1 5.108610+6 2.320400+1 5.108590+6970023501 206 2.375240+1 5.083830+6 2.387590+1 5.079130+6 2.402260+1 5.073540+6970023501 207 2.421920+1 5.073760+6 2.425300+1 5.073790+6 2.438230+1 5.073940+6970023501 208 2.456590+1 5.084240+6 2.485980+1 5.100730+6 2.492750+1 5.104530+6970023501 209 2.519130+1 5.126020+6 2.520910+1 5.127470+6 2.536780+1 5.141160+6970023501 210 2.555140+1 5.161030+6 2.587980+1 5.196560+6 2.621250+1 5.232550+6970023501 211 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7.085681+3 4.009170+4 7.682820+3 3.166110+4970023541 1920 8.226281+3 2.586180+4 8.820401+3 2.094820+4 9.391701+3 1.732960+4970023541 1921 1.025670+4 1.322840+4 1.099690+4 1.060400+4 1.188440+4 8.289350+3970023541 1922 1.287460+4 6.430270+3 1.359670+4 5.407930+3 1.451680+4 4.393320+3970023541 1923 1.554920+4 3.514230+3 1.655920+4 2.851700+3 1.771420+4 2.279810+3970023541 1924 1.882240+4 1.863860+3 2.000000+4 1.523800+3 2.151150+4 1.185510+3970023541 1925 2.286410+4 9.608540+2 2.447070+4 7.603980+2 2.624580+4 5.973780+2970023541 1926 2.752930+4 5.067570+2 2.915270+4 4.159690+2 3.097330+4 3.362310+2970023541 1927 3.288400+4 2.714710+2 3.465240+4 2.251250+2 3.706180+4 1.770470+2970023541 1928 3.847530+4 1.548790+2 4.107990+4 1.225540+2 4.395060+4 9.626800+1970023541 1929 4.602210+4 8.165770+1 4.863720+4 6.702170+1 5.221370+4 5.180420+1970023541 1930 5.542310+4 4.163050+1 5.854120+4 3.406320+1 6.259340+4 2.665300+1970023541 1931 6.636860+4 2.150430+1 6.985820+4 1.782200+1 7.450910+4 1.407200+1970023541 1932 7.863900+4 1.154750+1 8.350810+4 9.265270+0 8.735670+4 7.854830+0970023541 1933 9.346479+4 6.131330+0 1.000000+5 4.786000+0 1.051990+5 3.975070+0970023541 1934 1.121240+5 3.147240+0 1.182690+5 2.588510+0 1.255090+5 2.082210+0970023541 1935 1.337590+5 1.649100+0 1.416470+5 1.336900+0 1.500000+5 1.083800+0970023541 1936 1.604630+5 8.505100-1 1.695460+5 6.977650-1 1.798500+5 5.644150-1970023541 1937 1.896570+5 4.663360-1 2.000000+5 3.853000-1 2.151150+5 2.988560-1970023541 1938 2.286410+5 2.416100-1 2.447070+5 1.906660-1 2.624580+5 1.493540-1970023541 1939 2.752930+5 1.264470-1 2.915270+5 1.035460-1 3.000000+5 9.370200-2970023541 1940 3.223710+5 7.377230-2 3.471900+5 5.764910-2 3.651980+5 4.872690-2970023541 1941 3.880460+5 3.982360-2 4.113140+5 3.295560-2 4.410200+5 2.642020-2970023541 1942 4.695850+5 2.165420-2 5.000000+5 1.774800-2 5.415170+5 1.394180-2970023541 1943 5.798350+5 1.133610-2 6.000000+5 1.022200-2 6.447420+5 8.360560-3970023541 1944 6.804750+5 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8.775430+2 2.624580+4 6.841720+2970023542 1972 2.752930+4 5.773760+2 2.915270+4 4.709890+2 3.097330+4 3.780590+2970023542 1973 3.288400+4 3.030450+2 3.465240+4 2.497250+2 3.706180+4 1.948060+2970023542 1974 3.847530+4 1.696470+2 4.107990+4 1.331820+2 4.395060+4 1.037670+2970023542 1975 4.602210+4 8.753070+1 4.863720+4 7.136440+1 5.221370+4 5.466580+1970023542 1976 5.542310+4 4.358780+1 5.854120+4 3.540980+1 6.246270+4 2.768350+1970023542 1977 6.624730+4 2.214290+1 6.974640+4 1.821250+1 7.450910+4 1.417300+1970023542 1978 7.730070+4 1.232590+1 8.243990+4 9.653710+0 8.809779+4 7.503320+0970023542 1979 9.217660+4 6.318800+0 9.732110+4 5.141530+0 1.025670+5 4.213380+0970023542 1980 1.099690+5 3.235790+0 1.162780+5 2.619460+0 1.218350+5 2.194850+0970023542 1981 1.283370+5 1.802480+0 1.356890+5 1.459570+0 1.426650+5 1.207110+0970023542 1982 1.500000+5 9.983100-1 1.604630+5 7.779230-1 1.695460+5 6.345540-1970023542 1983 1.798500+5 5.101300-1 1.896570+5 4.191520-1 2.000000+5 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3.590900+3 8.870880+3 4.137040+3 7.237991+3 4.670820+3 6.079820+3970023543 2012 5.268200+3 5.062960+3 5.848160+3 4.281200+3 6.540580+3 3.577040+3970023543 2013 7.480520+3 2.883190+3 8.491040+3 2.331730+3 9.424000+3 1.942150+3970023543 2014 1.053760+4 1.596670+3 1.165200+4 1.338610+3 1.288420+4 1.122260+3970023543 2015 1.438140+4 9.120330+2 1.610780+4 7.363980+2 1.740220+4 6.364630+2970023543 2016 1.909360+4 5.342760+2 2.103980+4 4.425000+2 2.299120+4 3.708330+2970023543 2017 2.528320+4 3.068760+2 2.833730+4 2.445140+2 3.197810+4 1.907800+2970023543 2018 3.550980+4 1.529860+2 3.868160+4 1.277460+2 4.239490+4 1.053060+2970023543 2019 4.732430+4 8.351730+1 5.302550+4 6.526310+1 5.876740+4 5.191810+1970023543 2020 6.534060+4 4.100770+1 7.023900+4 3.491490+1 7.660420+4 2.878630+1970023543 2021 8.501340+4 2.270550+1 9.392820+4 1.802280+1 1.018980+5 1.492460+1970023543 2022 1.111880+5 1.219360+1 1.202720+5 1.016570+1 1.335390+5 7.964990+0970023543 2023 1.439490+5 6.663200+0 1.577880+5 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2.443590-1970027506 3382 2.895230+5 2.430580-1 3.045370+5 2.261720-1 3.207060+5 2.282990-1970027506 3383 3.328750+5 2.241420-1 3.417650+5 2.163630-1 3.597000+5 2.173400-1970027506 3384 3.948360+5 1.908480-1 4.000000+5 1.851710-1 4.267210+5 1.731610-1970027506 3385 4.510400+5 1.485460-1 4.966950+5 1.227480-1 5.019060+5 1.177230-1970027506 3386 5.132540+5 1.128140-1 5.450040+5 1.044550-1 5.546080+5 9.866630-2970027506 3387 6.000000+5 7.974720-2 6.561450+5 6.237380-2 6.884960+5 4.691300-2970027506 3388 7.109580+5 4.164930-2 7.568430+5 3.554910-2 7.642970+5 3.391800-2970027506 3389 7.682820+5 3.247680-2 8.064270+5 2.301320-2 8.882500+5 1.251540-2970027506 3390 9.843830+5 1.653330-3 1.000000+6 0.000000+0 1.000000+8 0.000000+0970027506 3391 970027 0 3392 9700 0 0 3393 0 0 0 3394 9.800000+4 2.488440+2 -1 0 0 19800 1451 1 0.000000+0 0.000000+0 0 0 0 69800 1451 2 0.000000+0 0.000000+0 0 0 3 69800 1451 3 0.000000+0 0.000000+0 0 0 138 399800 1451 4 98-CF- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9800 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9800 1451 6 ----ENDF/B-VI MATERIAL 9800 9800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9800 1451 8 ------ENDF-6 FORMAT 9800 1451 9 =================================================================9800 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9800 1451 11 ENDF/B-VI FORMAT 9800 1451 12 =================================================================9800 1451 13 CONTENTS 9800 1451 14 =================================================================9800 1451 15 MF/MT DESCRIPTION 9800 1451 16 =================================================================9800 1451 17 23/501 TOTAL CROSS SECTION 9800 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9800 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9800 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9800 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9800 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9800 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9800 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 50 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9800 1451 51 =================================================================9800 1451 52 27/502 COHERENT SCATTERING FORM FACTORS 9800 1451 53 27/504 INCOHERENT SCATTERING FUNCTIONS 9800 1451 54 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9800 1451 55 27/506 COHERENT REAL SCATTERING FACTOR 9800 1451 56 =================================================================9800 1451 57 WARNING 9800 1451 58 =================================================================9800 1451 59 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9800 1451 60 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9800 1451 61 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9800 1451 62 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9800 1451 63 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9800 1451 64 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9800 1451 65 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9800 1451 66 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9800 1451 67 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9800 1451 68 =================================================================9800 1451 69 DEFINITION OF NEW TYPES OF DATA 9800 1451 70 =================================================================9800 1451 71 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9800 1451 72 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9800 1451 73 9800 1451 74 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9800 1451 75 C2 FIELDS ARE, 9800 1451 76 9800 1451 77 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9800 1451 78 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9800 1451 79 9800 1451 80 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9800 1451 81 9800 1451 82 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9800 1451 83 9800 1451 84 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9800 1451 85 T = THE THOMSON CROSS SECTION 9800 1451 86 MU = THE COSINE OF THE SCATTERING ANGLE 9800 1451 87 FF(M) = THE ATOMIC FORM FACTOR 9800 1451 88 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9800 1451 89 F1(E) = THE REAL SCATTERING FACTOR 9800 1451 90 F2(E) = THE IMAGINARY SCATTERING FACTOR 9800 1451 91 9800 1451 92 F1(E) AND F2(E) ARE ISOTROPIC. 9800 1451 93 9800 1451 94 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9800 1451 95 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9800 1451 96 =================================================================9800 1451 97 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9800 1451 98 =================================================================9800 1451 99 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9800 1451 100 HERE - 10 EV TO 100 MEV 9800 1451 101 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9800 1451 102 - FLUORESCENCE AND ELECTRON SPECTRA 9800 1451 103 HERE - PHOTON INTERACTION 9800 1451 104 - AVERAGE FLUORESCENCE YIELD 9800 1451 105 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9800 1451 106 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9800 1451 107 HERE - NO SECONDARY ENERGY DATA 9800 1451 108 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9800 1451 109 INTERPOLABLE - SUMMATION CROSS SECTIONS 9800 1451 110 (E.G., TOTAL) ARE NOT INCLUDED 9800 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 9800 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9800 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9800 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 9800 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 9800 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 9800 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9800 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9800 1451 119 =================================================================9800 1451 120 REFERENCES 9800 1451 121 =================================================================9800 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9800 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9800 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9800 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9800 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9800 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9800 1451 128 9800 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9800 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9800 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9800 1451 132 OF THE DATA, ETC. 9800 1451 133 =================================================================9800 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9800 1451 135 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9800 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9800 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9800 1451 138 *RECONSTRUCTED MT NUMBERS 9800 1451 139 516 =+(515,515)+(517,517) 9800 1451 140 522 =+(534,572) 9800 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9800 1451 142 1 451 181 19800 1451 143 23 501 708 19800 1451 144 23 502 95 19800 1451 145 23 504 23 19800 1451 146 23 515 17 19800 1451 147 23 516 37 19800 1451 148 23 517 24 19800 1451 149 23 522 586 19800 1451 150 23 534 24 19800 1451 151 23 535 29 19800 1451 152 23 536 32 19800 1451 153 23 537 35 19800 1451 154 23 538 33 19800 1451 155 23 539 34 19800 1451 156 23 540 38 19800 1451 157 23 541 44 19800 1451 158 23 542 45 19800 1451 159 23 543 37 19800 1451 160 23 544 37 19800 1451 161 23 545 42 19800 1451 162 23 546 48 19800 1451 163 23 547 48 19800 1451 164 23 548 62 19800 1451 165 23 549 64 19800 1451 166 23 550 41 19800 1451 167 23 551 43 19800 1451 168 23 552 46 19800 1451 169 23 553 56 19800 1451 170 23 554 55 19800 1451 171 23 555 74 19800 1451 172 23 556 74 19800 1451 173 23 559 47 19800 1451 174 23 560 53 19800 1451 175 23 561 57 19800 1451 176 23 570 54 19800 1451 177 27 502 47 19800 1451 178 27 504 44 19800 1451 179 27 505 76 19800 1451 180 27 506 131 19800 1451 181 9800 1 0 182 9800 0 0 183 9.800000+4 2.488440+2 0 0 0 0980023501 184 0.000000+0 0.000000+0 0 0 1 2114980023501 185 2114 2 0 0 0 0980023501 186 1.000000+1 4.015600+6 1.067280+1 3.483390+6 1.075580+1 3.417730+6980023501 187 1.078000+1 3.401550+6 1.078000+1 4.696260+6 1.090950+1 4.589940+6980023501 188 1.099000+1 4.523860+6 1.143200+1 4.220140+6 1.189310+1 3.945370+6980023501 189 1.218810+1 3.769570+6 1.220170+1 3.761470+6 1.223530+1 3.742390+6980023501 190 1.224030+1 3.739940+6 1.271610+1 3.549420+6 1.277910+1 3.527230+6980023501 191 1.304730+1 3.432740+6 1.315870+1 3.398880+6 1.379140+1 3.243230+6980023501 192 1.381090+1 3.238440+6 1.394860+1 3.210610+6 1.404920+1 3.190280+6980023501 193 1.443300+1 3.128960+6 1.468610+1 3.098790+6 1.500000+1 3.061380+6980023501 194 1.512880+1 3.055940+6 1.592140+1 3.022470+6 1.611850+1 3.024140+6980023501 195 1.630370+1 3.036480+6 1.640000+1 3.042900+6 1.669520+1 3.062570+6980023501 196 1.701190+1 3.094660+6 1.719110+1 3.116240+6 1.795470+1 3.208210+6980023501 197 1.844550+1 3.283800+6 1.863980+1 3.317130+6 1.930790+1 3.431730+6980023501 198 1.980960+1 3.517790+6 2.000000+1 3.550450+6 2.053470+1 3.694230+6980023501 199 2.098190+1 3.814480+6 2.147200+1 3.946270+6 2.177130+1 4.026750+6980023501 200 2.192270+1 4.068930+6 2.238300+1 4.197180+6 2.274890+1 4.317530+6980023501 201 2.313250+1 4.443710+6 2.355840+1 4.583810+6 2.367900+1 4.623480+6980023501 202 2.388290+1 4.700190+6 2.411850+1 4.790370+6 2.425300+1 4.841850+6980023501 203 2.432230+1 4.868370+6 2.442480+1 4.907610+6 2.455760+1 4.958450+6980023501 204 2.464380+1 4.991460+6 2.473500+1 5.026380+6 2.483420+1 5.064380+6980023501 205 2.499710+1 5.126790+6 2.510000+1 5.166210+6 2.510000+1 3.472610+7980023501 206 2.516540+1 3.440150+7 2.526080+1 3.392790+7 2.538150+1 3.332870+7980023501 207 2.560000+1 3.224410+7 2.576080+1 3.144660+7 2.591310+1 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5.477230+7 1.176560-5980023541 1954 6.447420+7 9.924340-6 7.444840+7 8.546730-6 8.944271+7 7.071250-6980023541 1955 1.000000+8 6.304390-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0980023541 1956 980023 0 1957 9.800000+4 2.488440+2 0 0 0 0980023542 1958 4.248100+3 4.009900-1 0 0 1 126980023542 1959 126 2 0 0 0 0980023542 1960 4.248100+3 0.000000+0 4.248100+3 2.195280+5 4.379520+3 2.119660+5980023542 1961 4.744090+3 1.725420+5 5.139000+3 1.404500+5 5.510690+3 1.146520+5980023542 1962 5.807000+3 9.846320+4 6.281610+3 7.836360+4 6.795000+3 6.236700+4980023542 1963 7.283550+3 5.038750+4 7.719340+3 4.214970+4 8.235411+3 3.455060+4980023542 1964 8.826680+3 2.792220+4 9.395040+3 2.305120+4 1.025670+4 1.752280+4980023542 1965 1.099690+4 1.396550+4 1.182690+4 1.101970+4 1.255090+4 9.081300+3980023542 1966 1.337590+4 7.381130+3 1.416470+4 6.124910+3 1.540350+4 4.649830+3980023542 1967 1.646050+4 3.722510+3 1.747370+4 3.047160+3 1.895800+4 2.309530+3980023542 1968 2.012910+4 1.868930+3 2.151870+4 1.476440+3 2.305230+4 1.157820+3980023542 1969 2.416010+4 9.809690+2 2.555990+4 8.040340+2 2.698870+4 6.616970+2980023542 1970 2.900750+4 5.090270+2 3.073160+4 4.126280+2 3.225320+4 3.461320+2980023542 1971 3.403650+4 2.846120+2 3.605670+4 2.307780+2 3.797720+4 1.910920+2980023542 1972 4.087590+4 1.458450+2 4.350240+4 1.153790+2 4.600450+4 9.348420+1980023542 1973 4.842670+4 7.707000+1 5.156270+4 6.086230+1 5.447280+4 4.950260+1980023542 1974 5.836760+4 3.817480+1 6.184060+4 3.071320+1 6.595190+4 2.410690+1980023542 1975 7.047830+4 1.877890+1 7.374130+4 1.583840+1 7.785690+4 1.291110+1980023542 1976 8.320560+4 1.004500+1 8.783079+4 8.183610+0 9.230050+4 6.780780+0980023542 1977 9.807650+4 5.387860+0 1.034260+5 4.405920+0 1.107220+5 3.403290+0980023542 1978 1.169300+5 2.767840+0 1.223930+5 2.328190+0 1.287770+5 1.920250+0980023542 1979 1.359880+5 1.562150+0 1.451760+5 1.219430+0 1.527210+5 1.008170+0980023542 1980 1.604630+5 8.398740-1 1.695460+5 6.853000-1 1.798500+5 5.511100-1980023542 1981 1.896570+5 4.529600-1 2.000000+5 3.722900-1 2.151150+5 2.874410-1980023542 1982 2.286410+5 2.314900-1 2.447070+5 1.819000-1 2.624580+5 1.418600-1980023542 1983 2.752930+5 1.197410-1 2.915270+5 9.770120-2 3.000000+5 8.825300-2980023542 1984 3.223710+5 6.941640-2 3.471900+5 5.419210-2 3.651980+5 4.577450-2980023542 1985 3.880460+5 3.738070-2 4.113140+5 3.094600-2 4.410200+5 2.485810-2980023542 1986 4.695850+5 2.041010-2 5.000000+5 1.675800-2 5.415170+5 1.322730-2980023542 1987 5.798350+5 1.079940-2 6.000000+5 9.758100-3 6.447420+5 8.020960-3980023542 1988 6.804750+5 6.924230-3 7.378210+5 5.553800-3 8.000000+5 4.454600-3980023542 1989 8.458970+5 3.872180-3 9.197270+5 3.138170-3 1.000000+6 2.543300-3980023542 1990 1.074770+6 2.210100-3 1.188630+6 1.817930-3 1.308290+6 1.513840-3980023542 1991 1.433160+6 1.276200-3 1.554920+6 1.100130-3 1.701190+6 9.396430-4980023542 1992 1.894980+6 7.776500-4 2.044000+6 6.818450-4 2.332190+6 5.515320-4980023542 1993 2.551640+6 4.772710-4 2.842410+6 4.012340-4 3.000000+6 3.678870-4980023542 1994 3.464100+6 2.969490-4 4.000000+6 2.396900-4 4.472140+6 2.047700-4980023542 1995 5.000000+6 1.749370-4 5.732660+6 1.453610-4 6.480740+6 1.235160-4980023542 1996 7.483310+6 1.025020-4 8.485280+6 8.742120-5 1.000000+7 7.132590-5980023542 1997 1.148910+7 6.031280-5 1.349070+7 4.986090-5 1.600000+7 4.091070-5980023542 1998 1.897370+7 3.369720-5 2.200000+7 2.854490-5 2.600000+7 2.373290-5980023542 1999 3.000000+7 2.030100-5 3.464100+7 1.739780-5 4.000000+7 1.490980-5980023542 2000 4.728710+7 1.248990-5 5.477230+7 1.070180-5 6.447420+7 9.027060-6980023542 2001 7.444840+7 7.774010-6 8.944271+7 6.431930-6 1.000000+8 5.734400-6980023542 2002 980023 0 2003 9.800000+4 2.488440+2 0 0 0 0980023543 2004 1.788700+3 1.223400+0 0 0 1 102980023543 2005 102 2 0 0 0 0980023543 2006 1.788700+3 0.000000+0 1.788700+3 2.134230+4 2.036540+3 1.793060+4980023543 2007 2.318710+3 1.506430+4 2.637450+3 1.306440+4 3.324280+3 9.838201+3980023543 2008 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4.067330+4-5.772240-1 4.207960+4-4.485820-1 4.320050+4-3.427930-1980027506 3226 4.406640+4-2.904110-1 4.464230+4-2.666530-1 4.486430+4-2.591570-1980027506 3227 4.526800+4-2.519950-1 4.654390+4-2.041230-1 4.753750+4-1.660580-1980027506 3228 4.776750+4-1.583970-1 4.819050+4-1.502960-1 4.894130+4-1.414500-1980027506 3229 4.943140+4-1.341740-1 5.115100+4-9.639880-2 5.126630+4-9.494980-2980027506 3230 5.209110+4-9.228410-2 5.263490+4-9.802400-2 5.350420+4-1.078080-1980027506 3231 5.515010+4-1.214520-1 5.576890+4-1.235100-1 5.706790+4-1.310460-1980027506 3232 5.878750+4-1.470690-1 6.026220+4-1.735510-1 6.194650+4-2.092960-1980027506 3233 6.395620+4-2.457930-1 6.576800+4-2.862360-1 6.719640+4-3.287410-1980027506 3234 7.191330+4-4.372200-1 7.788920+4-6.134980-1 8.215970+4-7.436680-1980027506 3235 8.956640+4-9.691350-1 9.811090+4-1.254760+0 1.073390+5-1.618240+0980027506 3236 1.155330+5-2.049930+0 1.173610+5-2.150030+0 1.236880+5-2.651470+0980027506 3237 1.269460+5-3.037040+0 1.304990+5-3.698400+0 1.317910+5-4.089940+0980027506 3238 1.327370+5-4.514470+0 1.332720+5-4.848380+0 1.336720+5-5.150920+0980027506 3239 1.339400+5-5.374530+0 1.340960+5-5.508580+0 1.342810+5-5.668950+0980027506 3240 1.345190+5-5.865060+0 1.347790+5-6.058390+0 1.350720+5-6.228940+0980027506 3241 1.356140+5-6.342260+0 1.361570+5-6.184550+0 1.367660+5-5.759230+0980027506 3242 1.371570+5-5.388910+0 1.379070+5-4.760330+0 1.386230+5-4.258270+0980027506 3243 1.395610+5-3.792250+0 1.413200+5-3.216760+0 1.443990+5-2.557210+0980027506 3244 1.467080+5-2.202180+0 1.501710+5-1.793650+0 1.536350+5-1.501490+0980027506 3245 1.599230+5-1.106440+0 1.656160+5-8.322100-1 1.726020+5-6.044740-1980027506 3246 1.822530+5-3.566230-1 1.868980+5-2.533920-1 1.917890+5-1.812550-1980027506 3247 2.035700+5-3.717950-2 2.051330+5-2.625800-2 2.088550+5 1.258650-3980027506 3248 2.112330+5 1.896650-2 2.184160+5 7.340080-2 2.372220+5 1.603740-1980027506 3249 2.448030+5 1.736350-1 2.519500+5 1.965900-1 2.576010+5 2.088960-1980027506 3250 2.624580+5 2.079610-1 2.768730+5 2.267850-1 2.809850+5 2.226840-1980027506 3251 2.963100+5 2.277980-1 2.990780+5 2.249720-1 3.013300+5 2.185200-1980027506 3252 3.064650+5 2.149910-1 3.252750+5 2.206840-1 3.303760+5 2.171370-1980027506 3253 3.334240+5 2.101820-1 3.402860+5 2.068260-1 3.617030+5 2.088880-1980027506 3254 4.000000+5 1.788950-1 4.244980+5 1.700470-1 4.508380+5 1.442380-1980027506 3255 4.967630+5 1.194350-1 5.019060+5 1.145400-1 5.115260+5 1.103160-1980027506 3256 5.450040+5 1.023100-1 5.640390+5 9.250690-2 6.022760+5 7.731180-2980027506 3257 6.561370+5 6.114090-2 6.804750+5 4.976270-2 7.241640+5 3.892360-2980027506 3258 7.682820+5 3.180700-2 8.052980+5 2.261890-2 8.301070+5 1.929820-2980027506 3259 8.944270+5 1.157420-2 9.590240+5 4.362480-3 9.821200+5 1.867580-3980027506 3260 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0980027506 3261 980027 0 3262 9800 0 0 3263 0 0 0 3264 9.900000+4 2.518180+2 -1 0 0 19900 1451 1 0.000000+0 0.000000+0 0 0 0 69900 1451 2 0.000000+0 0.000000+0 0 0 3 69900 1451 3 0.000000+0 0.000000+0 0 0 138 399900 1451 4 99-ES- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9900 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9900 1451 6 ----ENDF/B-VI MATERIAL 9900 9900 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9900 1451 8 ------ENDF-6 FORMAT 9900 1451 9 =================================================================9900 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9900 1451 11 ENDF/B-VI FORMAT 9900 1451 12 =================================================================9900 1451 13 CONTENTS 9900 1451 14 =================================================================9900 1451 15 MF/MT DESCRIPTION 9900 1451 16 =================================================================9900 1451 17 23/501 TOTAL CROSS SECTION 9900 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9900 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9900 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9900 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9900 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9900 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9900 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 50 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9900 1451 51 =================================================================9900 1451 52 27/502 COHERENT SCATTERING FORM FACTORS 9900 1451 53 27/504 INCOHERENT SCATTERING FUNCTIONS 9900 1451 54 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9900 1451 55 27/506 COHERENT REAL SCATTERING FACTOR 9900 1451 56 =================================================================9900 1451 57 WARNING 9900 1451 58 =================================================================9900 1451 59 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9900 1451 60 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9900 1451 61 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9900 1451 62 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9900 1451 63 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9900 1451 64 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9900 1451 65 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9900 1451 66 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9900 1451 67 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9900 1451 68 =================================================================9900 1451 69 DEFINITION OF NEW TYPES OF DATA 9900 1451 70 =================================================================9900 1451 71 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9900 1451 72 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9900 1451 73 9900 1451 74 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9900 1451 75 C2 FIELDS ARE, 9900 1451 76 9900 1451 77 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9900 1451 78 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9900 1451 79 9900 1451 80 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9900 1451 81 9900 1451 82 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9900 1451 83 9900 1451 84 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9900 1451 85 T = THE THOMSON CROSS SECTION 9900 1451 86 MU = THE COSINE OF THE SCATTERING ANGLE 9900 1451 87 FF(M) = THE ATOMIC FORM FACTOR 9900 1451 88 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9900 1451 89 F1(E) = THE REAL SCATTERING FACTOR 9900 1451 90 F2(E) = THE IMAGINARY SCATTERING FACTOR 9900 1451 91 9900 1451 92 F1(E) AND F2(E) ARE ISOTROPIC. 9900 1451 93 9900 1451 94 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9900 1451 95 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9900 1451 96 =================================================================9900 1451 97 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9900 1451 98 =================================================================9900 1451 99 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9900 1451 100 HERE - 10 EV TO 100 MEV 9900 1451 101 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9900 1451 102 - FLUORESCENCE AND ELECTRON SPECTRA 9900 1451 103 HERE - PHOTON INTERACTION 9900 1451 104 - AVERAGE FLUORESCENCE YIELD 9900 1451 105 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9900 1451 106 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9900 1451 107 HERE - NO SECONDARY ENERGY DATA 9900 1451 108 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9900 1451 109 INTERPOLABLE - SUMMATION CROSS SECTIONS 9900 1451 110 (E.G., TOTAL) ARE NOT INCLUDED 9900 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 9900 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9900 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9900 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 9900 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 9900 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 9900 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9900 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9900 1451 119 =================================================================9900 1451 120 REFERENCES 9900 1451 121 =================================================================9900 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9900 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9900 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9900 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9900 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9900 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9900 1451 128 9900 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9900 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9900 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9900 1451 132 OF THE DATA, ETC. 9900 1451 133 =================================================================9900 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9900 1451 135 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9900 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9900 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9900 1451 138 *RECONSTRUCTED MT NUMBERS 9900 1451 139 516 =+(515,515)+(517,517) 9900 1451 140 522 =+(534,572) 9900 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9900 1451 142 1 451 181 19900 1451 143 23 501 678 19900 1451 144 23 502 97 19900 1451 145 23 504 23 19900 1451 146 23 515 17 19900 1451 147 23 516 37 19900 1451 148 23 517 24 19900 1451 149 23 522 555 19900 1451 150 23 534 24 19900 1451 151 23 535 29 19900 1451 152 23 536 32 19900 1451 153 23 537 34 19900 1451 154 23 538 34 19900 1451 155 23 539 34 19900 1451 156 23 540 38 19900 1451 157 23 541 44 19900 1451 158 23 542 45 19900 1451 159 23 543 37 19900 1451 160 23 544 37 19900 1451 161 23 545 42 19900 1451 162 23 546 48 19900 1451 163 23 547 48 19900 1451 164 23 548 63 19900 1451 165 23 549 63 19900 1451 166 23 550 40 19900 1451 167 23 551 43 19900 1451 168 23 552 46 19900 1451 169 23 553 55 19900 1451 170 23 554 56 19900 1451 171 23 555 73 19900 1451 172 23 556 74 19900 1451 173 23 559 48 19900 1451 174 23 560 53 19900 1451 175 23 561 57 19900 1451 176 23 570 55 19900 1451 177 27 502 47 19900 1451 178 27 504 44 19900 1451 179 27 505 76 19900 1451 180 27 506 131 19900 1451 181 9900 1 0 182 9900 0 0 183 9.900000+4 2.518180+2 0 0 0 0990023501 184 0.000000+0 0.000000+0 0 0 1 2023990023501 185 2023 2 0 0 0 0990023501 186 1.000000+1 4.893470+6 1.062720+1 4.265280+6 1.075580+1 4.136470+6990023501 187 1.138040+1 3.592110+6 1.143200+1 3.547130+6 1.146760+1 3.519570+6990023501 188 1.152000+1 3.479000+6 1.154000+1 3.467900+6 1.154000+1 5.050090+6990023501 189 1.168300+1 4.942530+6 1.218810+1 4.562580+6 1.223530+1 4.527070+6990023501 190 1.261610+1 4.271880+6 1.279810+1 4.172610+6 1.315870+1 3.994630+6990023501 191 1.368870+1 3.765850+6 1.379140+1 3.727530+6 1.394860+1 3.668870+6990023501 192 1.404920+1 3.631340+6 1.409640+1 3.615860+6 1.468610+1 3.440100+6990023501 193 1.500000+1 3.346530+6 1.512880+1 3.330220+6 1.611850+1 3.204870+6990023501 194 1.614500+1 3.202160+6 1.630980+1 3.192410+6 1.640000+1 3.187070+6990023501 195 1.666530+1 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3.465240+4 2.574040+2 3.706180+4 2.027190+2990023541 1867 3.975620+4 1.579820+2 4.210140+4 1.288760+2 4.476780+4 1.036150+2990023541 1868 4.731160+4 8.514220+1 5.000000+4 6.996300+1 5.328480+4 5.547690+1990023541 1869 5.648840+4 4.483980+1 5.854120+4 3.936760+1 6.259340+4 3.084290+1990023541 1870 6.636860+4 2.491270+1 6.985820+4 2.066700+1 7.450910+4 1.633850+1990023541 1871 7.863900+4 1.342120+1 8.350810+4 1.078100+1 8.906000+4 8.525820+0990023541 1872 9.437160+4 6.902460+0 1.000000+5 5.588200+0 1.064120+5 4.437460+0990023541 1873 1.134550+5 3.498390+0 1.185230+5 2.974810+0 1.249040+5 2.448880+0990023541 1874 1.318350+5 2.012170+0 1.388850+5 1.670820+0 1.484870+5 1.316190+0990023541 1875 1.592220+5 1.026000+0 1.685620+5 8.371530-1 1.791780+5 6.732150-1990023541 1876 1.893030+5 5.533090-1 2.000000+5 4.547600-1 2.151150+5 3.530500-1990023541 1877 2.286410+5 2.856380-1 2.447070+5 2.256000-1 2.624580+5 1.768730-1990023541 1878 2.752930+5 1.498330-1 2.915270+5 1.227840-1 3.000000+5 1.111500-1990023541 1879 3.223710+5 8.757790-2 3.471900+5 6.849280-2 3.651980+5 5.792430-2990023541 1880 3.880460+5 4.737180-2 4.113140+5 3.922550-2 4.410200+5 3.146770-2990023541 1881 4.695850+5 2.580660-2 5.000000+5 2.116400-2 5.415170+5 1.663750-2990023541 1882 5.798350+5 1.353650-2 6.000000+5 1.221000-2 6.447420+5 9.992140-3990023541 1883 6.804750+5 8.597370-3 7.378210+5 6.861620-3 8.000000+5 5.476300-3990023541 1884 8.458970+5 4.734740-3 9.197270+5 3.806350-3 1.000000+6 3.060000-3990023541 1885 1.074770+6 2.659080-3 1.188630+6 2.187590-3 1.308290+6 1.821820-3990023541 1886 1.433160+6 1.535840-3 1.554920+6 1.323920-3 1.701190+6 1.130680-3990023541 1887 1.894980+6 9.356530-4 2.044000+6 8.204920-4 2.332190+6 6.635610-4990023541 1888 2.551640+6 5.741450-4 2.842410+6 4.826040-4 3.000000+6 4.424610-4990023541 1889 3.464100+6 3.570730-4 4.000000+6 2.881630-4 4.472140+6 2.462240-4990023541 1890 5.000000+6 2.103880-4 5.732660+6 1.747650-4 6.480740+6 1.484820-4990023541 1891 7.483310+6 1.231970-4 8.485280+6 1.050540-4 1.000000+7 8.569820-5990023541 1892 1.148910+7 7.246370-5 1.349070+7 5.989030-5 1.600000+7 4.912530-5990023541 1893 1.897370+7 4.047340-5 2.200000+7 3.427930-5 2.600000+7 2.850350-5990023541 1894 3.000000+7 2.439580-5 3.464100+7 2.089990-5 4.000000+7 1.790490-5990023541 1895 4.728710+7 1.499730-5 5.477230+7 1.284920-5 6.447420+7 1.083790-5990023541 1896 7.444840+7 9.333530-6 8.944271+7 7.721220-6 1.000000+8 6.882960-6990023541 1897 990023 0 1898 9.900000+4 2.518180+2 0 0 0 0990023542 1899 4.369600+3 4.340000-1 0 0 1 125990023542 1900 125 2 0 0 0 0990023542 1901 4.369600+3 0.000000+0 4.369600+3 2.088820+5 4.502530+3 2.037940+5990023542 1902 4.904430+3 1.647850+5 5.474000+3 1.223040+5 5.825020+3 1.020690+5990023542 1903 6.226130+3 8.408910+4 6.744080+3 6.664280+4 7.336530+3 5.179280+4990023542 1904 7.927170+3 4.083520+4 8.586111+3 3.195770+4 9.066520+3 2.703890+4990023542 1905 9.678621+3 2.212510+4 1.051990+4 1.697930+4 1.121240+4 1.380680+4990023542 1906 1.182690+4 1.161210+4 1.255090+4 9.576071+3 1.337590+4 7.789020+3990023542 1907 1.416470+4 6.467680+3 1.529810+4 5.022680+3 1.614860+4 4.177990+3990023542 1908 1.715160+4 3.403400+3 1.829540+4 2.732100+3 1.939000+4 2.241930+3990023542 1909 2.055000+4 1.839700+3 2.199560+4 1.446190+3 2.328340+4 1.182350+3990023542 1910 2.480650+4 9.447700+2 2.648160+4 7.496550+2 2.843820+4 5.824560+2990023542 1911 3.000000+4 4.820200+2 3.197810+4 3.811710+2 3.381560+4 3.103970+2990023542 1912 3.627750+4 2.397280+2 3.847530+4 1.931130+2 4.107990+4 1.517870+2990023542 1913 4.395060+4 1.184100+2 4.602210+4 9.996740+1 4.863720+4 8.158710+1990023542 1914 5.221370+4 6.257260+1 5.542310+4 4.994090+1 5.854120+4 4.060720+1990023542 1915 6.246270+4 3.178060+1 6.624730+4 2.544440+1 6.974640+4 2.094560+1990023542 1916 7.450910+4 1.631750+1 7.730070+4 1.419950+1 8.243990+4 1.113280+1990023542 1917 8.809779+4 8.662330+0 9.217660+4 7.300240+0 9.732110+4 5.945390+0990023542 1918 1.031560+5 4.761400+0 1.089210+5 3.863360+0 1.154560+5 3.088260+0990023542 1919 1.216720+5 2.524560+0 1.282220+5 2.063760+0 1.355490+5 1.682100+0990023542 1920 1.453620+5 1.300620+0 1.541190+5 1.048720+0 1.644940+5 8.251750-1990023542 1921 1.759250+5 6.444340-1 1.841710+5 5.444700-1 1.945780+5 4.447620-1990023542 1922 2.051330+5 3.674350-1 2.199390+5 2.869880-1 2.286410+5 2.500970-1990023542 1923 2.447070+5 1.965780-1 2.624580+5 1.533540-1 2.752930+5 1.294690-1990023542 1924 2.915270+5 1.056660-1 3.000000+5 9.545900-2 3.223710+5 7.509910-2990023542 1925 3.471900+5 5.864050-2 3.651980+5 4.953870-2 3.880460+5 4.046140-2990023542 1926 4.113140+5 3.350050-2 4.410200+5 2.691250-2 4.695850+5 2.209870-2990023542 1927 5.000000+5 1.814600-2 5.415170+5 1.432330-2 5.798350+5 1.169450-2990023542 1928 6.000000+5 1.056700-2 6.447420+5 8.685600-3 6.804750+5 7.497840-3990023542 1929 7.378210+5 6.013680-3 8.000000+5 4.823300-3 8.458970+5 4.192370-3990023542 1930 9.197270+5 3.397290-3 1.000000+6 2.753000-3 1.074770+6 2.392310-3990023542 1931 1.188630+6 1.968120-3 1.308290+6 1.639050-3 1.433160+6 1.381760-3990023542 1932 1.554920+6 1.191100-3 1.701190+6 1.017250-3 1.894980+6 8.417830-4990023542 1933 2.044000+6 7.381750-4 2.332190+6 5.969880-4 2.551640+6 5.165430-4990023542 1934 2.842410+6 4.341850-4 3.000000+6 3.980700-4 3.464100+6 3.212480-4990023542 1935 4.000000+6 2.592520-4 4.472140+6 2.215200-4 5.000000+6 1.892800-4990023542 1936 5.732660+6 1.572320-4 6.480740+6 1.335850-4 7.483310+6 1.108360-4990023542 1937 8.485280+6 9.451430-5 1.000000+7 7.710030-5 1.148910+7 6.519370-5990023542 1938 1.349070+7 5.388170-5 1.600000+7 4.419670-5 1.897370+7 3.641290-5990023542 1939 2.200000+7 3.084010-5 2.600000+7 2.564380-5 3.000000+7 2.194830-5990023542 1940 3.464100+7 1.880300-5 4.000000+7 1.610850-5 4.728710+7 1.349260-5990023542 1941 5.477230+7 1.156010-5 6.447420+7 9.750560-6 7.444840+7 8.397130-6990023542 1942 8.944271+7 6.946570-6 1.000000+8 6.192410-6 0.000000+0 0.000000+0990023542 1943 990023 0 1944 9.900000+4 2.518180+2 0 0 0 0990023543 1945 1.856300+3 1.361000+0 0 0 1 102990023543 1946 102 2 0 0 0 0990023543 1947 1.856300+3 0.000000+0 1.856300+3 2.041680+4 2.071010+3 1.712170+4990023543 1948 2.214760+3 1.554470+4 2.466920+3 1.379660+4 2.878790+3 1.172530+4990023543 1949 3.440170+3 9.404951+3 4.002610+3 7.632880+3 4.657000+3 6.194700+3990023543 1950 5.362310+3 4.981690+3 5.903510+3 4.293850+3 6.625520+3 3.592620+3990023543 1951 7.430080+3 2.984840+3 8.208250+3 2.522420+3 9.132670+3 2.106160+3990023543 1952 1.038040+4 1.696290+3 1.194100+4 1.327280+3 1.338340+4 1.080550+3990023543 1953 1.500000+4 8.796900+2 1.622820+4 7.582340+2 1.826170+4 6.067560+2990023543 1954 2.055000+4 4.855400+2 2.188680+4 4.282330+2 2.443900+4 3.437370+2990023543 1955 2.738290+4 2.740250+2 2.959090+4 2.347870+2 3.247680+4 1.950450+2990023543 1956 3.652400+4 1.528400+2 3.886190+4 1.339090+2 4.331930+4 1.062470+2990023543 1957 4.845200+4 8.369150+1 5.229600+4 7.112480+1 5.731350+4 5.850980+1990023543 1958 6.395620+4 4.595580+1 6.763120+4 4.051910+1 7.457790+4 3.250640+1990023543 1959 8.248979+4 2.589930+1 8.836040+4 2.218220+1 9.595900+4 1.841900+1990023543 1960 1.044270+5 1.516140+1 1.132640+5 1.252990+1 1.257080+5 9.810690+0990023543 1961 1.366470+5 8.065940+0 1.465310+5 6.846630+0 1.583810+5 5.704400+0990023543 1962 1.721440+5 4.691160+0 1.902470+5 3.709930+0 2.088550+5 2.982120+0990023543 1963 2.265280+5 2.467410+0 2.514160+5 1.934840+0 2.732940+5 1.592660+0990023543 1964 2.930620+5 1.353260+0 3.167630+5 1.128760+0 3.442880+5 9.293820-1990023543 1965 3.804940+5 7.360470-1 4.000000+5 6.550300-1 4.426730+5 5.235450-1990023543 1966 4.914520+5 4.155330-1 5.277580+5 3.549660-1 5.748830+5 2.938210-1990023543 1967 6.173090+5 2.520210-1 6.675270+5 2.143150-1 7.282740+5 1.789250-1990023543 1968 7.995080+5 1.474660-1 8.942440+5 1.169270-1 9.724930+5 9.846190-2990023543 1969 1.074770+6 8.091350-2 1.188630+6 6.656650-2 1.308290+6 5.543630-2990023543 1970 1.433160+6 4.673440-2 1.554920+6 4.028550-2 1.701190+6 3.440560-2990023543 1971 1.894980+6 2.847110-2 2.044000+6 2.496680-2 2.332190+6 2.019160-2990023543 1972 2.551640+6 1.747070-2 2.842410+6 1.468520-2 3.000000+6 1.346370-2990023543 1973 3.464100+6 1.086540-2 4.000000+6 8.768530-3 4.472140+6 7.492350-3990023543 1974 5.000000+6 6.401910-3 5.732660+6 5.317960-3 6.480740+6 4.518170-3990023543 1975 7.483310+6 3.748750-3 8.485280+6 3.196690-3 1.000000+7 2.607720-3990023543 1976 1.148910+7 2.205000-3 1.349070+7 1.822410-3 1.600000+7 1.494840-3990023543 1977 1.897370+7 1.231570-3 2.200000+7 1.043090-3 2.600000+7 8.673360-4990023543 1978 3.000000+7 7.423430-4 3.464100+7 6.359640-4 4.000000+7 5.448290-4990023543 1979 4.728710+7 4.563530-4 5.477230+7 3.909910-4 6.447420+7 3.297880-4990023543 1980 7.444840+7 2.840110-4 8.944271+7 2.349490-4 1.000000+8 2.094420-4990023543 1981 990023 0 1982 9.900000+4 2.518180+2 0 0 0 0990023544 1983 1.673600+3 9.409400-1 0 0 1 101990023544 1984 101 2 0 0 0 0990023544 1985 1.673600+3 0.000000+0 1.673600+3 1.688000+4 1.860000+3 1.570100+4990023544 1986 2.534650+3 1.380450+4 3.868720+3 9.648491+3 4.753940+3 7.572150+3990023544 1987 5.552030+3 6.169460+3 6.447420+3 4.988400+3 7.181880+3 4.229230+3990023544 1988 8.331180+3 3.344320+3 9.220361+3 2.809780+3 1.041350+4 2.279870+3990023544 1989 1.194100+4 1.779340+3 1.338340+4 1.435000+3 1.500000+4 1.157300+3990023544 1990 1.671430+4 9.284540+2 1.799420+4 7.989510+2 1.966010+4 6.671630+2990023544 1991 2.154520+4 5.497040+2 2.340420+4 4.586190+2 2.557430+4 3.777070+2990023544 1992 2.844560+4 2.992250+2 3.175590+4 2.329850+2 3.507950+4 1.843610+2990023544 1993 3.887180+4 1.448210+2 4.168980+4 1.228430+2 4.534250+4 1.008270+2990023544 1994 5.049940+4 7.747320+1 5.485150+4 6.297570+1 5.878100+4 5.294990+1990023544 1995 6.348930+4 4.365160+1 6.895310+4 3.549310+1 7.427140+4 2.946280+1990023544 1996 8.000000+4 2.445700+1 8.732110+4 1.942460+1 9.427470+4 1.587840+1990023544 1997 1.038120+5 1.232230+1 1.125330+5 9.966190+0 1.231090+5 7.868550+0990023544 1998 1.350580+5 6.166690+0 1.438640+5 5.222610+0 1.551910+5 4.278480+0990023544 1999 1.690800+5 3.416800+0 1.849390+5 2.701940+0 2.000320+5 2.200260+0990023544 2000 2.142450+5 1.838330+0 2.335650+5 1.466390+0 2.510680+5 1.213620+0990023544 2001 2.721080+5 9.830590-1 2.890370+5 8.393660-1 3.164260+5 6.622310-1990023544 2002 3.464100+5 5.224770-1 3.796950+5 4.156540-1 4.173740+5 3.283170-1990023544 2003 4.451860+5 2.795430-1 4.810170+5 2.304810-1 5.131730+5 1.970160-1990023544 2004 5.512140+5 1.668690-1 5.969060+5 1.386930-1 6.500740+5 1.137620-1990023544 2005 7.019620+5 9.517970-2 7.579910+5 7.963280-2 8.123590+5 6.865810-2990023544 2006 9.013100+5 5.496570-2 1.000000+6 4.400400-2 1.074770+6 3.823870-2990023544 2007 1.188630+6 3.145850-2 1.308290+6 2.619850-2 1.433160+6 2.208610-2990023544 2008 1.554920+6 1.903850-2 1.701190+6 1.625970-2 1.894980+6 1.345510-2990023544 2009 2.044000+6 1.179900-2 2.332190+6 9.542270-3 2.551640+6 8.256430-3990023544 2010 2.842410+6 6.940030-3 3.000000+6 6.362760-3 3.464100+6 5.134840-3990023544 2011 4.000000+6 4.143890-3 4.472140+6 3.540790-3 5.000000+6 3.025460-3990023544 2012 5.732660+6 2.513200-3 6.480740+6 2.135230-3 7.483310+6 1.771610-3990023544 2013 8.485280+6 1.510720-3 1.000000+7 1.232370-3 1.148910+7 1.042060-3990023544 2014 1.349070+7 8.612470-4 1.600000+7 7.064410-4 1.897370+7 5.820240-4990023544 2015 2.200000+7 4.929490-4 2.600000+7 4.098920-4 3.000000+7 3.508220-4990023544 2016 3.464100+7 3.005480-4 4.000000+7 2.574790-4 4.728710+7 2.156670-4990023544 2017 5.477230+7 1.847770-4 6.447420+7 1.558540-4 7.444840+7 1.342200-4990023544 2018 8.944271+7 1.110340-4 1.000000+8 9.897970-5 0.000000+0 0.000000+0990023544 2019 990023 0 2020 9.900000+4 2.518180+2 0 0 0 0990023545 2021 1.315900+3 8.815300-1 0 0 1 115990023545 2022 115 2 0 0 0 0990023545 2023 1.315900+3 0.000000+0 1.315900+3 1.365230+5 1.546270+3 1.115090+5990023545 2024 1.726060+3 9.713650+4 1.969610+3 8.231290+4 2.390090+3 6.299160+4990023545 2025 2.849840+3 4.838350+4 3.216660+3 3.970140+4 3.587010+3 3.322790+4990023545 2026 4.207960+3 2.534930+4 4.776390+3 2.010830+4 5.353350+3 1.632470+4990023545 2027 6.000000+3 1.325300+4 6.629790+3 1.084100+4 7.145140+3 9.324750+3990023545 2028 7.994250+3 7.438540+3 8.944270+3 5.933870+3 9.752350+3 4.915280+3990023545 2029 1.040600+4 4.267820+3 1.146940+4 3.452970+3 1.264160+4 2.793700+3990023545 2030 1.338770+4 2.440760+3 1.480090+4 1.926990+3 1.641460+4 1.510180+3990023545 2031 1.761460+4 1.278960+3 1.917100+4 1.047730+3 2.103980+4 8.340810+2990023545 2032 2.299120+4 6.662960+2 2.519330+4 5.285400+2 2.681450+4 4.513300+2990023545 2033 2.889820+4 3.734170+2 3.175590+4 2.913550+2 3.337630+4 2.547580+2990023545 2034 3.641370+4 2.014240+2 3.983570+4 1.580910+2 4.235150+4 1.340220+2990023545 2035 4.558110+4 1.099260+2 4.886690+4 9.064321+1 5.197250+4 7.602730+1990023545 2036 5.624900+4 6.066910+1 6.108980+4 4.793470+1 6.535050+4 3.954490+1990023545 2037 7.024590+4 3.217820+1 7.496450+4 2.672930+1 8.000000+4 2.220300+1990023545 2038 8.583479+4 1.801830+1 9.128829+4 1.500910+1 9.864240+4 1.192710+1990023545 2039 1.052510+5 9.839860+0 1.131330+5 7.942370+0 1.194290+5 6.763490+0990023545 2040 1.295370+5 5.314990+0 1.405000+5 4.176700+0 1.521390+5 3.295650+0990023545 2041 1.635300+5 2.658220+0 1.741950+5 2.202470+0 1.889060+5 1.730160+0990023545 2042 1.976300+5 1.512580+0 2.138770+5 1.195570+0 2.320320+5 9.380770-1990023545 2043 2.452860+5 7.950940-1 2.621950+5 6.519810-1 2.777530+5 5.507040-1990023545 2044 2.969610+5 4.547810-1 3.199190+5 3.674860-1 3.382940+5 3.131980-1990023545 2045 3.678560+5 2.464260-1 4.000000+5 1.938900-1 4.326980+5 1.566590-1990023545 2046 4.589650+5 1.335070-1 5.013840+5 1.050340-1 5.477230+5 8.263340-2990023545 2047 5.980880+5 6.619730-2 6.548820+5 5.266410-2 6.966670+5 4.506020-2990023545 2048 7.503430+5 3.737030-2 8.034420+5 3.164110-2 8.687590+5 2.637210-2990023545 2049 9.541860+5 2.119420-2 1.022000+6 1.820320-2 1.130270+6 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1.928930-2990027506 3200 8.944270+5 1.063060-2 9.111020+5 8.787760-3 9.821180+5 1.707790-3990027506 3201 1.000000+6 0.000000+0 1.000000+8 0.000000+0 0.000000+0 0.000000+0990027506 3202 990027 0 3203 9900 0 0 3204 0 0 0 3205 1.000000+5 2.547920+2 -1 0 0 19920 1451 1 0.000000+0 0.000000+0 0 0 0 69920 1451 2 0.000000+0 0.000000+0 0 0 3 69920 1451 3 0.000000+0 0.000000+0 0 0 138 399920 1451 4 100-FM- 0 LLNL EVAL-OCT89 D.E.CULLEN, ET AL. 9920 1451 5 UCRL50400,VOL.6,REV.4 DIST-MAY90 900209 9920 1451 6 ----ENDF/B-VI MATERIAL 9920 9920 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 9920 1451 8 ------ENDF-6 FORMAT 9920 1451 9 =================================================================9920 1451 10 THE LIVERMORE EVALUATED PHOTON DATA LIBRARY (EPDL) IN THE 9920 1451 11 ENDF/B-VI FORMAT 9920 1451 12 =================================================================9920 1451 13 CONTENTS 9920 1451 14 =================================================================9920 1451 15 MF/MT DESCRIPTION 9920 1451 16 =================================================================9920 1451 17 23/501 TOTAL CROSS SECTION 9920 1451 18 23/502 COHERENT SCATTERING CROSS SECTIONS 9920 1451 19 23/504 INCOHERENT SCATTERING CROSS SECTIONS 9920 1451 20 23/515 PAIR PRODUCTION CROSS SECTION, ELECTRON FIELD 9920 1451 21 23/516 PAIR PRODUCTION CROSS SECTION, TOTAL 9920 1451 22 23/517 PAIR PRODUCTION CROSS SECTION, NUCLEAR FIELD 9920 1451 23 23/522 TOTAL PHOTOELECTRIC CROSS SECTION 9920 1451 24 23/534 K (1S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 25 23/535 L1 (2S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 26 23/536 L2 (2P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 27 23/537 L3 (2P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 28 23/538 M1 (3S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 29 23/539 M2 (3P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 30 23/540 M3 (3P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 31 23/541 M4 (3D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 32 23/542 M5 (3D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 33 23/543 N1 (4S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 34 23/544 N2 (4P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 35 23/545 N3 (4P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 36 23/546 N4 (4D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 37 23/547 N5 (4D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 38 23/548 N6 (4F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 39 23/549 N7 (4F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 40 23/550 O1 (5S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 41 23/551 O2 (5P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 42 23/552 O3 (5P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 43 23/553 O4 (5D3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 44 23/554 O5 (5D5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 45 23/555 O6 (5F5/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 46 23/556 O7 (5F7/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 47 23/559 P1 (6S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 48 23/560 P2 (6P1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 49 23/561 P3 (6P3/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 50 23/570 Q1 (7S1/2) PHOTOELECTRIC SUBSHELL CROSS SECTION 9920 1451 51 =================================================================9920 1451 52 27/502 COHERENT SCATTERING FORM FACTORS 9920 1451 53 27/504 INCOHERENT SCATTERING FUNCTIONS 9920 1451 54 27/505 COHERENT IMAGINARY SCATTERING FACTOR 9920 1451 55 27/506 COHERENT REAL SCATTERING FACTOR 9920 1451 56 =================================================================9920 1451 57 WARNING 9920 1451 58 =================================================================9920 1451 59 MF/MT COMBINATIONS USED TO DEFINE PHOTOELECTRIC SUBSHELL CROSS 9920 1451 60 SECTIONS (MF=23, MT=534-572) AND COHERENT ANOMALOUS SCATTERING 9920 1451 61 FACTORS (MF=27, MT=505 AND 506) ARE NEWLY DEFINED MF/MT NUMBERS 9920 1451 62 FOR ENDF/B-VI THAT DID NOT EXIST IN EARLIER VERSIONS OF ENDF/B. 9920 1451 63 IF YOU ARE NOT PREPARED TO USE THIS DATA YOU NEED MERELY DELETE 9920 1451 64 IT AND ALL OF THE REMAINING DATA WILL STILL BE CONSISTENT AND 9920 1451 65 EQUIVALENT TO THE TYPES OF DATA IN EARLIER VERSIONS OF ENDF/B. 9920 1451 66 HOWEVER, THIS WILL LIMIT THE RANGE OF PROBLEMS TO WHICH THIS 9920 1451 67 DATA CAN BE APPLIED (SEE: REF. 1 FOR DETAILS). 9920 1451 68 =================================================================9920 1451 69 DEFINITION OF NEW TYPES OF DATA 9920 1451 70 =================================================================9920 1451 71 1) THE TOTAL PHOTOELECTRIC CROSS SECTION IS EQUAL TO THE SUM OF 9920 1451 72 THE PHOTOELECTRIC SUBSHELL CROSS SECTIONS, 9920 1451 73 9920 1451 74 FOR EACH SUBSHELL ON THE SECOND LINE OF A SECTION THE C1 AND 9920 1451 75 C2 FIELDS ARE, 9920 1451 76 9920 1451 77 EPE = THE PHOTOELECTRIC EDGE ENERGY (SIMILAR TO Q-VALUE) 9920 1451 78 EFL = THE FLUORESCENCE YIELD (EV/PHOTOIONIZATION) 9920 1451 79 9920 1451 80 2) THE ANGULAR DISTRIBUTION OF COHERENTLY SCATTERED PHOTONS IS, 9920 1451 81 9920 1451 82 S(E,MU) = 8*T/3*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 9920 1451 83 9920 1451 84 S(E,MU) = ANGULAR DISTRIBUTIONS (BARNS PER UNIT COSINE) 9920 1451 85 T = THE THOMSON CROSS SECTION 9920 1451 86 MU = THE COSINE OF THE SCATTERING ANGLE 9920 1451 87 FF(M) = THE ATOMIC FORM FACTOR 9920 1451 88 M = MOMENTUM TRANSFER = SIN(THETA/2)/LAMBDA 9920 1451 89 F1(E) = THE REAL SCATTERING FACTOR 9920 1451 90 F2(E) = THE IMAGINARY SCATTERING FACTOR 9920 1451 91 9920 1451 92 F1(E) AND F2(E) ARE ISOTROPIC. 9920 1451 93 9920 1451 94 WHEN F1(E) = F2(E) = 0 THIS REDUCES TO THE RESULT OBTAINED 9920 1451 95 USING ONLY FORM FACTORS (THE OLDER ENDF/B CONVENTION). 9920 1451 96 =================================================================9920 1451 97 DIFFERENCES BETWEEN EPDL AND THE DATA BASE PRESENTED HERE 9920 1451 98 =================================================================9920 1451 99 1) ENERGY RANGE - EPDL - 10 EV TO 100 GEV 9920 1451 100 HERE - 10 EV TO 100 MEV 9920 1451 101 2) TYPE OF DATA - EPDL - PHOTON INTERACTION - ELECTRON PRODUCTION9920 1451 102 - FLUORESCENCE AND ELECTRON SPECTRA 9920 1451 103 HERE - PHOTON INTERACTION 9920 1451 104 - AVERAGE FLUORESCENCE YIELD 9920 1451 105 3) SECONDARY E - EPDL - AVERAGE ENERGY FOR EACH SECONDARY 9920 1451 106 PARTICLE (PHOTONS, ELECTRONS, POSITRONS)9920 1451 107 HERE - NO SECONDARY ENERGY DATA 9920 1451 108 4) INTERPOLATION- EPDL - CROSS SECTIONS ARE LOG X VS. LOG Y 9920 1451 109 INTERPOLABLE - SUMMATION CROSS SECTIONS 9920 1451 110 (E.G., TOTAL) ARE NOT INCLUDED 9920 1451 111 - FORM FACTORS ARE LOG X VS. LOG Y 9920 1451 112 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9920 1451 113 HERE - CROSS SECTIONS LINEARLY INTERPOLABLE IN 9920 1451 114 ORDER TO ALLOW CROSS SECTIONS DEFINED 9920 1451 115 BY SUMMATION (E.G., TOTAL) TO BE 9920 1451 116 CONSISTENTLY DEFINED AT ALL ENERGIES. 9920 1451 117 - FORM FACTORS ARE LOG X VS. LOG Y 9920 1451 118 INTERPOLABLE EXCEPT IN FIRST INTERVAL. 9920 1451 119 =================================================================9920 1451 120 REFERENCES 9920 1451 121 =================================================================9920 1451 122 D.E. CULLEN, M.H. CHEN, J.H. HUBBELL, S.T. PERKINS, 9920 1451 123 E.F. PLECHATY, J.A. RATHKOPF AND J.H. SCOFIELD, TABLES AND 9920 1451 124 GRAPHS OF PHOTON INTERACTION CROSS SECTIONS FROM 10 EV TO 100 9920 1451 125 GEV DERIVED FROM THE LLNL EVALUATED NUCLEAR DATA LIBRARY (ENDL),9920 1451 126 UCRL-50400, VOL. 6, REV. 4, PART A: Z = 1 TO 50 AND PART B: 9920 1451 127 Z = 51 TO 100, LAWRENCE LIVERMORE NATIONAL LABORATORY (1989) 9920 1451 128 9920 1451 129 THIS IS THE PRIMARY REFERENCE TO THE CONTENTS OF THIS LIBRARY 9920 1451 130 AND IT CONTAINS A COMPLETE SET OF REFERENCES TO THE SOURCES 9920 1451 131 OF DATA USED IN THIS LIBRARY, METHODS OF EVALUATION, ACCURACY 9920 1451 132 OF THE DATA, ETC. 9920 1451 133 =================================================================9920 1451 134 ***************** PROGRAM LINEAR (VERSION 90-1) *****************9920 1451 135 FOR ALL DATA GREATER THAN 1.00000-10 IN ABSOLUTE VALUE 9920 1451 136 DATA LINEARIZED TO WITHIN AN ACCURACY OF 1.000 PER-CENT 9920 1451 137 ***************** PROGRAM FIXUP (VERSION 90-1) ******************9920 1451 138 *RECONSTRUCTED MT NUMBERS 9920 1451 139 516 =+(515,515)+(517,517) 9920 1451 140 522 =+(534,572) 9920 1451 141 501 =+(502,502)+(504,504)+(516,516)+(522,522) 9920 1451 142 1 451 181 19920 1451 143 23 501 678 19920 1451 144 23 502 97 19920 1451 145 23 504 23 19920 1451 146 23 515 17 19920 1451 147 23 516 37 19920 1451 148 23 517 24 19920 1451 149 23 522 558 19920 1451 150 23 534 23 19920 1451 151 23 535 29 19920 1451 152 23 536 31 19920 1451 153 23 537 34 19920 1451 154 23 538 33 19920 1451 155 23 539 34 19920 1451 156 23 540 38 19920 1451 157 23 541 44 19920 1451 158 23 542 45 19920 1451 159 23 543 36 19920 1451 160 23 544 37 19920 1451 161 23 545 42 19920 1451 162 23 546 47 19920 1451 163 23 547 49 19920 1451 164 23 548 62 19920 1451 165 23 549 63 19920 1451 166 23 550 41 19920 1451 167 23 551 43 19920 1451 168 23 552 46 19920 1451 169 23 553 53 19920 1451 170 23 554 55 19920 1451 171 23 555 74 19920 1451 172 23 556 73 19920 1451 173 23 559 48 19920 1451 174 23 560 54 19920 1451 175 23 561 57 19920 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3.789380+6 1.580710+1 3.607110+6 1.599330+1 3.570480+6992023501 196 1.611850+1 3.548020+6 1.640000+1 3.504960+6 1.644840+1 3.497560+6992023501 197 1.701190+1 3.411360+6 1.705230+1 3.406080+6 1.756980+1 3.378060+6992023501 198 1.844550+1 3.377370+6 1.852110+1 3.378850+6 1.928270+1 3.393730+6992023501 199 1.951730+1 3.398320+6 1.980960+1 3.421000+6 2.000000+1 3.435780+6992023501 200 2.007560+1 3.444950+6 2.067780+1 3.518000+6 2.103980+1 3.561910+6992023501 201 2.129810+1 3.595730+6 2.172650+1 3.665450+6 2.205340+1 3.718650+6992023501 202 2.255300+1 3.799950+6 2.268040+1 3.820690+6 2.299120+1 3.889930+6992023501 203 2.306400+1 3.906830+6 2.338390+1 3.981130+6 2.340480+1 3.985980+6992023501 204 2.381040+1 4.093810+6 2.418220+1 4.192660+6 2.425300+1 4.211490+6992023501 205 2.437030+1 4.242670+6 2.454500+1 4.289120+6 2.480950+1 4.359450+6992023501 206 2.507680+1 4.430530+6 2.519330+1 4.461520+6 2.519520+1 4.462040+6992023501 207 2.527960+1 4.484990+6 2.537070+1 4.509780+6 2.546490+1 4.535430+6992023501 208 2.563660+1 4.582180+6 2.566430+1 4.589720+6 2.577000+1 4.618490+6992023501 209 2.577000+1 3.842070+7 2.586080+1 3.783470+7 2.594000+1 3.732360+7992023501 210 2.604120+1 3.667040+7 2.628000+1 3.512910+7 2.645730+1 3.399860+7992023501 211 2.651490+1 3.363130+7 2.667340+1 3.284380+7 2.681450+1 3.214280+7992023501 212 2.737610+1 2.935490+7 2.761440+1 2.817190+7 2.767290+1 2.788150+7992023501 213 2.845620+1 2.502100+7 2.874240+1 2.397590+7 2.888150+1 2.346790+7992023501 214 2.889820+1 2.342720+7 2.895140+1 2.329750+7 2.956400+1 2.180410+7992023501 215 2.976540+1 2.131800+7 3.000000+1 2.075180+7 3.011440+1 2.057950+7992023501 216 3.127700+1 1.882790+7 3.166270+1 1.826010+7 3.181750+1 1.808490+7992023501 217 3.223710+1 1.761020+7 3.265020+1 1.733160+7 3.272000+1 1.728460+7992023501 218 3.380350+1 1.655620+7 3.402370+1 1.640810+7 3.479040+1 1.608240+7992023501 219 3.511980+1 1.594290+7 3.527530+1 1.587710+7 3.590940+1 1.563070+7992023501 220 3.742640+1 1.538730+7 3.826650+1 1.536720+7 4.023710+1 1.532300+7992023501 221 4.033600+1 1.533400+7 4.058850+1 1.536200+7 4.075790+1 1.538080+7992023501 222 4.086120+1 1.539220+7 4.105640+1 1.541390+7 4.107720+1 1.541620+7992023501 223 4.127000+1 1.543760+7 4.127000+1 2.696690+7 4.134390+1 2.689160+7992023501 224 4.142530+1 2.680860+7 4.159540+1 2.663520+7 4.179680+1 2.642990+7992023501 225 4.189360+1 2.633120+7 4.209000+1 2.613090+7 4.329810+1 2.483640+7992023501 226 4.335680+1 2.478920+7 4.356480+1 2.463950+7 4.542580+1 2.329990+7992023501 227 4.562140+1 2.321210+7 4.587480+1 2.311290+7 4.765810+1 2.241580+7992023501 228 4.835490+1 2.223310+7 4.849570+1 2.219620+7 4.882900+1 2.212140+7992023501 229 5.000000+1 2.185860+7 5.131080+1 2.175790+7 5.353810+1 2.158660+7992023501 230 5.362410+1 2.158670+7 5.452800+1 2.161750+7 5.613080+1 2.167230+7992023501 231 5.687230+1 2.169780+7 5.763680+1 2.176480+7 5.798700+1 2.180300+7992023501 232 6.000000+1 2.202290+7 6.054350+1 2.203240+7 6.073660+1 2.203860+7992023501 233 6.102930+1 2.204820+7 6.377490+1 2.223720+7 6.422570+1 2.226820+7992023501 234 6.458300+1 2.229780+7 6.485000+1 2.232000+7 6.485000+1 2.281040+7992023501 235 6.491510+1 2.281450+7 6.537470+1 2.285750+7 6.592630+1 2.290910+7992023501 236 6.645050+1 2.295810+7 6.676500+1 2.298740+7 6.774070+1 2.307880+7992023501 237 7.000000+1 2.331470+7 7.017540+1 2.330950+7 7.026660+1 2.330680+7992023501 238 7.188690+1 2.329060+7 7.223390+1 2.328980+7 7.343540+1 2.328720+7992023501 239 7.483310+1 2.330500+7 7.719870+1 2.334440+7 7.932850+1 2.339050+7992023501 240 8.000000+1 2.341490+7 8.151720+1 2.324940+7 8.190550+1 2.320710+7992023501 241 8.485280+1 2.288610+7 8.590140+1 2.277380+7 8.738850+1 2.262850+7992023501 242 9.000000+1 2.238360+7 9.069260+1 2.223100+7 9.240210+1 2.186550+7992023501 243 9.548750+1 2.121410+7 9.679600+1 2.093780+7 9.740040+1 2.081340+7992023501 244 1.000000+2 2.028170+7 1.003330+2 2.018360+7 1.005360+2 2.012380+7992023501 245 1.021900+2 1.963660+7 1.042030+2 1.905180+7 1.085830+2 1.778320+7992023501 246 1.087560+2 1.772910+7 1.088540+2 1.769890+7 1.129500+2 1.643390+7992023501 247 1.131470+2 1.637310+7 1.173610+2 1.507360+7 1.179030+2 1.490790+7992023501 248 1.182060+2 1.481600+7 1.218810+2 1.365210+7 1.230110+2 1.329420+7992023501 249 1.254480+2 1.252250+7 1.267110+2 1.212520+7 1.294280+2 1.132540+7992023501 250 1.329870+2 1.027890+7 1.342640+2 9.904390+6 1.357380+2 9.492570+6992023501 251 1.359190+2 9.447460+6 1.366470+2 9.266030+6 1.381840+2 8.885410+6992023501 252 1.390100+2 8.680870+6 1.392900+2 8.611550+6 1.392900+2 9.448890+6992023501 253 1.420800+2 8.979670+6 1.422870+2 8.944940+6 1.427180+2 8.872600+6992023501 254 1.448720+2 8.525680+6 1.463280+2 8.319610+6 1.477180+2 8.124230+6992023501 255 1.494720+2 7.931010+6 1.500000+2 7.872840+6 1.506210+2 7.784320+6992023501 256 1.514810+2 7.674170+6 1.522450+2 7.549660+6 1.532560+2 7.384900+6992023501 257 1.538900+2 7.281590+6 1.538900+2 7.904520+6 1.549550+2 7.739410+6992023501 258 1.554410+2 7.664420+6 1.562620+2 7.513920+6 1.569700+2 7.384120+6992023501 259 1.576690+2 7.256140+6 1.620190+2 6.620490+6 1.640080+2 6.289450+6992023501 260 1.651620+2 6.135440+6 1.683850+2 5.707300+6 1.717850+2 5.243230+6992023501 261 1.730410+2 5.071800+6 1.732050+2 5.052670+6 1.744960+2 4.902540+6992023501 262 1.768470+2 4.629160+6 1.771840+2 4.590160+6 1.780240+2 4.493020+6992023501 263 1.805690+2 4.218260+6 1.815910+2 4.111210+6 1.828920+2 3.965990+6992023501 264 1.852420+2 3.709100+6 1.854870+2 3.686040+6 1.919640+2 3.076480+6992023501 265 1.924790+2 3.028190+6 1.930690+2 2.979120+6 1.944480+2 2.871590+6992023501 266 1.966600+2 2.693760+6 1.974610+2 2.625960+6 2.000000+2 2.433250+6992023501 267 2.029990+2 2.226620+6 2.032530+2 2.209120+6 2.037220+2 2.178440+6992023501 268 2.056380+2 2.061390+6 2.061430+2 2.030540+6 2.070350+2 1.979150+6992023501 269 2.085020+2 1.899840+6 2.105050+2 1.798790+6 2.112990+2 1.759520+6992023501 270 2.125890+2 1.700210+6 2.143180+2 1.625340+6 2.164850+2 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6.194650+4 1.806760+2 6.576800+4 1.516130+2 7.101970+4 1.210580+2992023540 1828 7.695060+4 9.570810+1 8.215970+4 7.899710+1 8.813279+4 6.431630+1992023540 1829 9.387910+4 5.345140+1 1.021900+5 4.162530+1 1.087560+5 3.452750+1992023540 1830 1.173610+5 2.747140+1 1.254480+5 2.249090+1 1.366470+5 1.739880+1992023540 1831 1.463280+5 1.416720+1 1.549550+5 1.192870+1 1.651620+5 9.849620+0992023540 1832 1.768470+5 8.022380+0 1.880670+5 6.669580+0 2.000000+5 5.544900+0992023540 1833 2.151150+5 4.471320+0 2.286410+5 3.734360+0 2.447070+5 3.055680+0992023540 1834 2.631750+5 2.464770+0 2.809850+5 2.031320+0 3.000000+5 1.674100+0992023540 1835 3.223710+5 1.363930+0 3.402370+5 1.169640+0 3.689100+5 9.288360-1992023540 1836 4.000000+5 7.376100-1 4.229490+5 6.331630-1 4.598630+5 5.035560-1992023540 1837 5.000000+5 4.004800-1 5.477230+5 3.151050-1 6.000000+5 2.479300-1992023540 1838 6.623670+5 1.938960-1 7.085680+5 1.639750-1 7.682820+5 1.341000-1992023540 1839 8.226280+5 1.136480-1 8.820400+5 9.662450-2 9.590240+5 7.952720-2992023540 1840 1.022000+6 6.909600-2 1.130270+6 5.686520-2 1.250000+6 4.679940-2992023540 1841 1.369310+6 3.945140-2 1.500000+6 3.325710-2 1.701190+6 2.666490-2992023540 1842 1.894980+6 2.206490-2 2.044000+6 1.934880-2 2.332190+6 1.564600-2992023540 1843 2.551640+6 1.353650-2 2.842410+6 1.137700-2 3.000000+6 1.043010-2992023540 1844 3.464100+6 8.416880-3 4.000000+6 6.792250-3 4.472140+6 5.802450-3992023540 1845 5.000000+6 4.956890-3 5.732660+6 4.117590-3 6.480740+6 3.497860-3992023540 1846 7.483310+6 2.901780-3 8.485280+6 2.474030-3 1.000000+7 2.017960-3992023540 1847 1.148910+7 1.706070-3 1.349070+7 1.410150-3 1.600000+7 1.156610-3992023540 1848 1.897370+7 9.526020-4 2.200000+7 8.069020-4 2.600000+7 6.707760-4992023540 1849 3.000000+7 5.740790-4 3.464100+7 4.917850-4 4.000000+7 4.212880-4992023540 1850 4.728710+7 3.528990-4 5.477230+7 3.023450-4 6.447420+7 2.550100-4992023540 1851 7.444840+7 2.196220-4 8.944271+7 1.816770-4 1.000000+8 1.619440-4992023540 1852 992023 0 1853 1.000000+5 2.547920+2 0 0 0 0992023541 1854 4.760800+3 2.862300+2 0 0 1 123992023541 1855 123 2 0 0 0 0992023541 1856 4.760800+3 0.000000+0 4.760800+3 1.242000+5 5.000000+3 1.196900+5992023541 1857 5.477230+3 9.474260+4 6.000000+3 7.499500+4 6.447420+3 6.093420+4992023541 1858 6.804750+3 5.214750+4 7.378210+3 4.128490+4 8.000000+3 3.268500+4992023541 1859 8.637790+3 2.599890+4 9.101571+3 2.224270+4 9.691081+3 1.844450+4992023541 1860 1.051990+4 1.432460+4 1.099690+4 1.246230+4 1.188440+4 9.766840+3992023541 1861 1.287460+4 7.596280+3 1.359670+4 6.399980+3 1.451680+4 5.210400+3992023541 1862 1.564810+4 4.089630+3 1.685030+4 3.204410+3 1.818690+4 2.491740+3992023541 1863 1.915850+4 2.099020+3 2.039310+4 1.708580+3 2.199400+4 1.324500+3992023541 1864 2.286430+4 1.159840+3 2.447080+4 9.193980+2 2.624590+4 7.235280+2992023541 1865 2.752940+4 6.144880+2 2.915280+4 5.051070+2 3.097330+4 4.089820+2992023541 1866 3.288400+4 3.308380+2 3.465240+4 2.748130+2 3.706180+4 2.165850+2992023541 1867 3.975620+4 1.689140+2 4.210140+4 1.378790+2 4.476780+4 1.109260+2992023541 1868 4.731160+4 9.120350+1 5.000000+4 7.498800+1 5.328480+4 5.949720+1992023541 1869 5.648840+4 4.811580+1 5.854120+4 4.225800+1 6.259340+4 3.312840+1992023541 1870 6.636860+4 2.677350+1 6.985820+4 2.222140+1 7.450910+4 1.757810+1992023541 1871 7.863900+4 1.444680+1 8.350810+4 1.161150+1 8.906000+4 9.188130+0992023541 1872 9.437160+4 7.442740+0 1.000000+5 6.028900+0 1.069220+5 4.711590+0992023541 1873 1.145630+5 3.653860+0 1.200840+5 3.072330+0 1.270610+5 2.495320+0992023541 1874 1.342220+5 2.045390+0 1.444030+5 1.575900+0 1.531070+5 1.279040+0992023541 1875 1.607930+5 1.074030+0 1.698080+5 8.841580-1 1.800280+5 7.178070-1992023541 1876 1.897520+5 5.950280-1 2.000000+5 4.932500-1 2.151150+5 3.831100-1992023541 1877 2.286410+5 3.100790-1 2.447070+5 2.450100-1 2.624580+5 1.921760-1992023541 1878 2.752930+5 1.628460-1 2.915270+5 1.334970-1 3.000000+5 1.208700-1992023541 1879 3.223710+5 9.527160-2 3.471900+5 7.453810-2 3.651980+5 6.305320-2992023541 1880 3.880460+5 5.158240-2 4.113140+5 4.272470-2 4.410200+5 3.428700-2992023541 1881 4.695850+5 2.812780-2 5.000000+5 2.307500-2 5.415170+5 1.814600-2992023541 1882 5.798350+5 1.476820-2 6.000000+5 1.332300-2 6.447420+5 1.090620-2992023541 1883 6.804750+5 9.385880-3 7.378210+5 7.493400-3 8.000000+5 5.982500-3992023541 1884 8.458970+5 5.173530-3 9.197270+5 4.160480-3 1.000000+6 3.345800-3992023541 1885 1.074770+6 2.906830-3 1.188630+6 2.392280-3 1.308290+6 1.992600-3992023541 1886 1.433160+6 1.679750-3 1.554920+6 1.447910-3 1.701190+6 1.236550-3992023541 1887 1.894980+6 1.023230-3 2.044000+6 8.972690-4 2.332190+6 7.255590-4992023541 1888 2.551640+6 6.277330-4 2.842410+6 5.275910-4 3.000000+6 4.836810-4992023541 1889 3.464100+6 3.903200-4 4.000000+6 3.149800-4 4.472140+6 2.690800-4992023541 1890 5.000000+6 2.298680-4 5.732660+6 1.909470-4 6.480740+6 1.622080-4992023541 1891 7.483310+6 1.345650-4 8.485280+6 1.147290-4 1.000000+7 9.357980-5992023541 1892 1.148910+7 7.911650-5 1.349070+7 6.539370-5 1.600000+7 5.363590-5992023541 1893 1.897370+7 4.417550-5 2.200000+7 3.741890-5 2.600000+7 3.110620-5992023541 1894 3.000000+7 2.662200-5 3.464100+7 2.280580-5 4.000000+7 1.953660-5992023541 1895 4.728710+7 1.636510-5 5.477230+7 1.402080-5 6.447420+7 1.182570-5992023541 1896 7.444840+7 1.018460-5 8.944271+7 8.424990-6 1.000000+8 7.509900-6992023541 1897 992023 0 1898 1.000000+5 2.547920+2 0 0 0 0992023542 1899 4.492700+3 4.703900-1 0 0 1 124992023542 1900 124 2 0 0 0 0992023542 1901 4.492700+3 0.000000+0 4.492700+3 1.990190+5 4.592250+3 1.971970+5992023542 1902 5.252760+3 1.428290+5 5.836730+3 1.062140+5 6.161640+3 9.068670+4992023542 1903 6.683241+3 7.154590+4 7.249000+3 5.644500+4 7.816741+3 4.479110+4992023542 1904 8.313220+3 3.708260+4 8.880201+3 3.028940+4 9.611871+3 2.375940+4992023542 1905 1.051990+4 1.786210+4 1.121240+4 1.453470+4 1.182690+4 1.223140+4992023542 1906 1.255090+4 1.009330+4 1.337590+4 8.215361+3 1.416470+4 6.825940+3992023542 1907 1.532060+4 5.278200+3 1.623800+4 4.331650+3 1.732450+4 3.475890+3992023542 1908 1.818690+4 2.946970+3 1.956150+4 2.300600+3 2.104000+4 1.796000+3992023542 1909 2.242490+4 1.433620+3 2.365390+4 1.187180+3 2.510190+4 9.622590+2992023542 1910 2.675190+4 7.683360+2 2.832950+4 6.274570+2 3.000000+4 5.124100+2992023542 1911 3.197810+4 4.054340+2 3.381560+4 3.303200+2 3.627750+4 2.552740+2992023542 1912 3.847530+4 2.057450+2 4.107990+4 1.618100+2 4.395060+4 1.263050+2992023542 1913 4.602210+4 1.066770+2 4.863720+4 8.710580+1 5.221370+4 6.684510+1992023542 1914 5.542310+4 5.337680+1 5.854120+4 4.342030+1 6.246270+4 3.400010+1992023542 1915 6.624730+4 2.723440+1 6.974640+4 2.242850+1 7.450910+4 1.748210+1992023542 1916 7.730070+4 1.521740+1 8.243990+4 1.193720+1 8.809779+4 9.293220+0992023542 1917 9.217660+4 7.834810+0 9.732110+4 6.383570+0 1.034030+5 5.070820+0992023542 1918 1.096400+5 4.054610+0 1.164660+5 3.219470+0 1.243980+5 2.503310+0992023542 1919 1.307000+5 2.072820+0 1.378380+5 1.704620+0 1.473730+5 1.332900+0992023542 1920 1.558580+5 1.084880+0 1.658840+5 8.626010-1 1.768990+5 6.809650-1992023542 1921 1.848260+5 5.795780-1 1.948080+5 4.776360-1 2.051330+5 3.963810-1992023542 1922 2.199390+5 3.096910-1 2.286410+5 2.699270-1 2.447070+5 2.122280-1992023542 1923 2.624580+5 1.656130-1 2.752930+5 1.398480-1 2.915270+5 1.141650-1992023542 1924 3.000000+5 1.031500-1 3.223710+5 8.116460-2 3.471900+5 6.338850-2992023542 1925 3.651980+5 5.355670-2 3.880460+5 4.374990-2 4.113140+5 3.622750-2992023542 1926 4.410200+5 2.910640-2 4.695850+5 2.390250-2 5.000000+5 1.962900-2992023542 1927 5.415170+5 1.549410-2 5.798350+5 1.265060-2 6.000000+5 1.143100-2992023542 1928 6.447420+5 9.395420-3 6.804750+5 8.110360-3 7.378210+5 6.504690-3992023542 1929 8.000000+5 5.216900-3 8.458970+5 4.534160-3 9.197270+5 3.673870-3992023542 1930 1.000000+6 2.976800-3 1.074770+6 2.586240-3 1.188630+6 2.128450-3992023542 1931 1.308290+6 1.772850-3 1.433160+6 1.494490-3 1.554920+6 1.288230-3992023542 1932 1.701190+6 1.100170-3 1.894980+6 9.103770-4 2.044000+6 7.983120-4992023542 1933 2.332190+6 6.455390-4 2.551640+6 5.585020-4 2.842410+6 4.694050-4992023542 1934 3.000000+6 4.303370-4 3.464100+6 3.472730-4 4.000000+6 2.802420-4992023542 1935 4.472140+6 2.394040-4 5.000000+6 2.045170-4 5.732660+6 1.698880-4992023542 1936 6.480740+6 1.443190-4 7.483310+6 1.197250-4 8.485280+6 1.020760-4992023542 1937 1.000000+7 8.325910-5 1.148910+7 7.039090-5 1.349070+7 5.818160-5992023542 1938 1.600000+7 4.772050-5 1.897370+7 3.930350-5 2.200000+7 3.329200-5992023542 1939 2.600000+7 2.767560-5 3.000000+7 2.368600-5 3.464100+7 2.029060-5992023542 1940 4.000000+7 1.738200-5 4.728710+7 1.456030-5 5.477230+7 1.247450-5992023542 1941 6.447420+7 1.052150-5 7.444840+7 9.061390-6 8.944271+7 7.495820-6992023542 1942 1.000000+8 6.681650-6 0.000000+0 0.000000+0 0.000000+0 0.000000+0992023542 1943 992023 0 1944 1.000000+5 2.547920+2 0 0 0 0992023543 1945 1.925800+3 1.519600+0 0 0 1 99992023543 1946 99 2 0 0 0 0992023543 1947 1.925800+3 0.000000+0 1.925800+3 1.956470+4 2.100650+3 1.627150+4992023543 1948 2.320260+3 1.411790+4 2.707410+3 1.223550+4 3.645880+3 8.697270+3992023543 1949 4.262760+3 7.005931+3 5.047380+3 5.500280+3 5.743991+3 4.505850+3992023543 1950 6.452760+3 3.765560+3 7.249000+3 3.146900+3 8.057760+3 2.633500+3992023543 1951 8.723000+3 2.304200+3 9.825260+3 1.885820+3 1.106680+4 1.543410+3992023543 1952 1.237820+4 1.260210+3 1.389350+4 1.022470+3 1.575890+4 8.139700+2992023543 1953 1.784390+4 6.475190+2 1.936640+4 5.524620+2 2.121530+4 4.629310+2992023543 1954 2.339260+4 3.830420+2 2.630220+4 3.051560+2 2.979270+4 2.376460+2992023543 1955 3.319960+4 1.900020+2 3.626900+4 1.582710+2 3.987320+4 1.301300+2992023543 1956 4.342220+4 1.091070+2 4.886690+4 8.511450+1 5.348860+4 6.979940+1992023543 1957 5.915190+4 5.596420+1 6.562080+4 4.456260+1 7.043250+4 3.815150+1992023543 1958 7.667450+4 3.166360+1 8.395700+4 2.579000+1 9.191150+4 2.090560+1992023543 1959 9.948750+4 1.739690+1 1.101320+5 1.374280+1 1.165450+5 1.205200+1992023543 1960 1.286800+5 9.578080+0 1.425190+5 7.557550+0 1.527980+5 6.430180+0992023543 1961 1.661170+5 5.297060+0 1.808730+5 4.344710+0 1.961790+5 3.593340+0992023543 1962 2.177330+5 2.816260+0 2.366800+5 2.317220+0 2.537990+5 1.968210+0992023543 1963 2.743250+5 1.641050+0 2.981620+5 1.350610+0 3.295170+5 1.069110+0992023543 1964 3.574890+5 8.867280-1 3.898200+5 7.311070-1 4.292760+5 5.897230-1992023543 1965 4.741530+5 4.724960-1 5.074120+5 4.062310-1 5.504160+5 3.388620-1992023543 1966 5.976510+5 2.835320-1 6.632500+5 2.277650-1 7.284230+5 1.870170-1992023543 1967 8.000000+5 1.535600-1 8.944270+5 1.226610-1 1.000000+6 9.798000-2992023543 1968 1.074770+6 8.512500-2 1.188630+6 7.005690-2 1.308290+6 5.835240-2992023543 1969 1.433160+6 4.919050-2 1.554920+6 4.240130-2 1.701190+6 3.621160-2992023543 1970 1.894980+6 2.996460-2 2.044000+6 2.627610-2 2.332190+6 2.124760-2992023543 1971 2.551640+6 1.838280-2 2.842410+6 1.545020-2 3.000000+6 1.416430-2992023543 1972 3.464100+6 1.143030-2 4.000000+6 9.224030-3 4.472140+6 7.879860-3992023543 1973 5.000000+6 6.731570-3 5.732660+6 5.591790-3 6.480740+6 4.750190-3992023543 1974 7.483310+6 3.940690-3 8.485280+6 3.359780-3 1.000000+7 2.740440-3992023543 1975 1.148910+7 2.316880-3 1.349070+7 1.915020-3 1.600000+7 1.570700-3992023543 1976 1.897370+7 1.293660-3 2.200000+7 1.095790-3 2.600000+7 9.109290-4992023543 1977 3.000000+7 7.796120-4 3.464100+7 6.678550-4 4.000000+7 5.721190-4992023543 1978 4.728710+7 4.792450-4 5.477230+7 4.105910-4 6.447420+7 3.463090-4992023543 1979 7.444840+7 2.982520-4 8.944271+7 2.467210-4 1.000000+8 2.199230-4992023543 1980 992023 0 1981 1.000000+5 2.547920+2 0 0 0 0992023544 1982 1.739000+3 1.049400+0 0 0 1 101992023544 1983 101 2 0 0 0 0992023544 1984 1.739000+3 0.000000+0 1.739000+3 1.585710+4 1.930000+3 1.477200+4992023544 1985 2.447070+3 1.365820+4 3.938600+3 9.351670+3 4.489370+3 8.081600+3992023544 1986 5.362650+3 6.479840+3 6.447420+3 5.017350+3 7.444840+3 4.043620+3992023544 1987 8.676071+3 3.164590+3 9.798791+3 2.575820+3 1.106680+4 2.096590+3992023544 1988 1.194100+4 1.819830+3 1.338340+4 1.471660+3 1.500000+4 1.190100+3992023544 1989 1.657170+4 9.719690+2 1.785770+4 8.350340+2 1.997610+4 6.649390+2992023544 1990 2.234580+4 5.294920+2 2.482230+4 4.196040+2 2.766400+4 3.301130+2992023544 1991 2.978590+4 2.803070+2 3.254800+4 2.303550+2 3.570100+4 1.863460+2992023544 1992 3.883760+4 1.526740+2 4.250470+4 1.233190+2 4.610030+4 1.017580+2992023544 1993 5.149050+4 7.802650+1 5.582270+4 6.377100+1 6.107740+4 5.093870+1992023544 1994 6.701490+4 4.040390+1 7.139080+4 3.449970+1 7.702070+4 2.854210+1992023544 1995 8.358040+4 2.315350+1 9.073129+4 1.868190+1 9.748840+4 1.548370+1992023544 1996 1.069030+5 1.216810+1 1.125330+5 1.064030+1 1.231090+5 8.413510+0992023544 1997 1.350580+5 6.604130+0 1.438640+5 5.599050+0 1.551910+5 4.592750+0992023544 1998 1.690800+5 3.671860+0 1.849390+5 2.906210+0 2.000320+5 2.368440+0992023544 1999 2.142450+5 1.980190+0 2.335650+5 1.580900+0 2.510680+5 1.309320+0992023544 2000 2.721080+5 1.061420+0 2.966110+5 8.476540-1 3.205450+5 6.923340-1992023544 2001 3.464100+5 5.654740-1 3.796950+5 4.502010-1 4.173740+5 3.558830-1992023544 2002 4.451860+5 3.031750-1 4.810170+5 2.501250-1 5.131730+5 2.139100-1992023544 2003 5.512140+5 1.812580-1 5.969060+5 1.507260-1 6.500740+5 1.236970-1992023544 2004 7.019620+5 1.035400-1 7.579910+5 8.666870-2 8.123590+5 7.474940-2992023544 2005 9.013100+5 5.987220-2 1.000000+6 4.795600-2 1.074770+6 4.166410-2992023544 2006 1.188630+6 3.428910-2 1.308290+6 2.856040-2 1.433160+6 2.407610-2992023544 2007 1.554920+6 2.075320-2 1.701190+6 1.772360-2 1.894980+6 1.466610-2992023544 2008 2.044000+6 1.286070-2 2.332190+6 1.039960-2 2.551640+6 8.997410-3992023544 2009 2.842410+6 7.562060-3 3.000000+6 6.932690-3 3.464100+6 5.594530-3992023544 2010 4.000000+6 4.514670-3 4.472140+6 3.856770-3 5.000000+6 3.294740-3992023544 2011 5.732660+6 2.736880-3 6.480740+6 2.324960-3 7.483310+6 1.928750-3992023544 2012 8.485280+6 1.644430-3 1.000000+7 1.341300-3 1.148910+7 1.133990-3992023544 2013 1.349070+7 9.373000-4 1.600000+7 7.687740-4 1.897370+7 6.331760-4992023544 2014 2.200000+7 5.363320-4 2.600000+7 4.458510-4 3.000000+7 3.815790-4992023544 2015 3.464100+7 3.268800-4 4.000000+7 2.800220-4 4.728710+7 2.345650-4992023544 2016 5.477230+7 2.009630-4 6.447420+7 1.695000-4 7.444840+7 1.459780-4992023544 2017 8.944271+7 1.207570-4 1.000000+8 1.076410-4 0.000000+0 0.000000+0992023544 2018 992023 0 2019 1.000000+5 2.547920+2 0 0 0 0992023545 2020 1.359600+3 9.607500-1 0 0 1 116992023545 2021 116 2 0 0 0 0992023545 2022 1.359600+3 0.000000+0 1.359600+3 1.337860+5 1.548270+3 1.132850+5992023545 2023 1.706760+3 9.999860+4 1.975440+3 8.293279+4 2.286410+3 6.877940+4992023545 2024 2.619010+3 5.606690+4 3.000000+3 4.570400+4 3.402370+3 3.715400+4992023545 2025 3.789950+3 3.111050+4 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