PSR-0139 SIOB.

SIOB, Least Square Fit of Neutron Transmission Data Using Multilevel Breit-Wigner

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: SIOB.

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2. COMPUTERS

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Program name	Package id	Status	Status date
SIOB	PSR-0139/01	Tested	26-JUL-1983

Machines used:

Package ID	Orig. computer	Test computer
PSR-0139/01	IBM 3081	IBM 3081

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3. DESCRIPTION OF PROBLEM OR FUNCTION

SIOB performs least-square fits of neutron transmission curves. Any number of measurements on a common energy scale for different sample thicknesses can be simultaneously fitted. The computed transmission curves can be broadened with either a Gaussian or a rectangular resolution function or both, with the resolution width function of energy. The total cross section is expressed as a sum of single-level or multilevel Breit-Wigner terms and Doppler broadened using the fast interpolation routine QUICKW.

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4. METHOD OF SOLUTION:

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

The number of data points, resonance levels and variables which can be handled simultaneously is only limited by the overall dimensions of two arrays in the program and by the stability of the matrix inversion.

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6. TYPICAL RUNNING TIME

In a test problem, seven transmissions each with 3750 data points were simultaneously fitted using 74 resonances and 110 variable parameters. The problem took 47 minutes of CPU time on an IBM 360/91, for 3 iterations.
NEA-DB executed the test case on IBM 3081 in 15 CPU seconds.

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7. UNUSUAL FEATURES OF THE PROGRAM:

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8. RELATED AND AUXILIARY PROGRAMS:

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9. STATUS

Package ID	Status date	Status
PSR-0139/01	26-JUL-1983	Tested at NEADB

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10. REFERENCES:

PSR-0139/01, included references:

- G. de Saussure, D.K. Olsen and R.B. Perez:
  SIOB: A Fortran Code for Least-Squares Shape Fitting Several
  Neutron Transmission Measurements Using the Breit-Wigner
  Multilevel Formula.  ORNL/TM-6286 (ENDF-261) (May 1978)

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11. MACHINE REQUIREMENTS

To execute the test case on IBM 3081, 156K bytes of main storage are required.

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
PSR-0139/01	FORTRAN-IV

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:
MVS-SP (IBM 3091).

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

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15. NAME AND ESTABLISHMENT OF AUTHOR

Contributed by: Radiation Safety Information Computational Center
                Oak Ridge National Laboratory
                Oak Ridge, Tennessee, U. S. A.
Developed by:   Computer Sciences Division, Oak Ridge National Laboratory,
                Oak Ridge, Tennessee, USA

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16. MATERIAL AVAILABLE

PSR-0139/01

File name	File description	Records
PSR0139_01.001	SIOB INFORMATION FILE	47
PSR0139_01.002	SIOB SOURCE PROGRAM (FORTRAN-4)	1493
PSR0139_01.003	SIOB SOURCE PROGRAM (ASSEMBLER)	39
PSR0139_01.004	SIOB JCL	25
PSR0139_01.005	SIOB INPUT DATA FOR TEST CASE	218
PSR0139_01.006	SIOB OUTPUT OF TEST CASE	1025

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17. CATEGORIES

O. Experimental Data Processing

Keywords: Breit-Wigner formula, Doppler broadening, Gauss function, data analysis, experimental data, interpolation, least square fit, multilevel analysis, neutron flux, neutron spectra, resonance absorption, transmission.