IAEA0942 TRAX.
TRAX, Resolution Matrix of Slow Neutron Spectrometers
NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROGRAM 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 AUTHORS, MATERIAL, CATEGORIES
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| Program name | Package id | Status | Status date |
|---|---|---|---|
| TRAX | IAEA0942/01 | Tested | 09-MAY-1989 |
Machines used:
| Package ID | Orig. computer | Test computer |
|---|---|---|
| IAEA0942/01 | CDC CYBER 720 | CDC CYBER 830 |
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3. DESCRIPTION OF PROGRAM OR FUNCTION
TRAX computes the resolution matrix and characteristic line-widths and intensities for three-axis slow-neutron spectrometers with flat or curved, mosaic or perfect crystals, with or without Soller collimators or limiting diaphragms, neutron guide in the incoming beam allowed for. The optimization of the spectrometer configuration from the point of view of intensity- resolution compromise can be performed analytically or numerically, depending on the option specified in the input data. In the analytical optimization the monochromator and analyzer radii of curvature are computed together with either the sample inclination angle, or monochromator-sample distance, or sample- analyzer distance. For numerical optimization there are 16 possible variables: monochromator and analyzer radii of curvature, cutting angles mosaic spreads and thicknesses; sample inclination angle and thickness; distance monochromator-sample or sample-analyzer; and four Soller collimators angular divergences.
TRAX computes the resolution matrix and characteristic line-widths and intensities for three-axis slow-neutron spectrometers with flat or curved, mosaic or perfect crystals, with or without Soller collimators or limiting diaphragms, neutron guide in the incoming beam allowed for. The optimization of the spectrometer configuration from the point of view of intensity- resolution compromise can be performed analytically or numerically, depending on the option specified in the input data. In the analytical optimization the monochromator and analyzer radii of curvature are computed together with either the sample inclination angle, or monochromator-sample distance, or sample- analyzer distance. For numerical optimization there are 16 possible variables: monochromator and analyzer radii of curvature, cutting angles mosaic spreads and thicknesses; sample inclination angle and thickness; distance monochromator-sample or sample-analyzer; and four Soller collimators angular divergences.
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4. METHOD OF SOLUTION
The matrix computational technique is used. A library of data on crystal monochromators is built into the program. The analytical optimization is computed through formulae valid for perfect curved thin crystals. The numerical optimization is performed by searching iteratively for the minimum of an optimization parameter with the aid of the IMSL library subroutine ZXMIN for minimizing functions of many variables.
The matrix computational technique is used. A library of data on crystal monochromators is built into the program. The analytical optimization is computed through formulae valid for perfect curved thin crystals. The numerical optimization is performed by searching iteratively for the minimum of an optimization parameter with the aid of the IMSL library subroutine ZXMIN for minimizing functions of many variables.
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6. TYPICAL RUNNING TIME
Less than 1 CPU second PER CASE on the CDC-CYBER 170-720 per case with no optimization or with analytical optimization only. For numerical optimization the running time increases rapidly with the number of variables and depends on the values of the variables strat. For three variables it is less than 1 minute and for 6 variables it is less than 10 minutes CPU.
Less than 1 CPU second PER CASE on the CDC-CYBER 170-720 per case with no optimization or with analytical optimization only. For numerical optimization the running time increases rapidly with the number of variables and depends on the values of the variables strat. For three variables it is less than 1 minute and for 6 variables it is less than 10 minutes CPU.
IAEA0942/01
The test case included in this package has been run at NEA-DB on a CDC CYBER 830 computer in 1.4 seconds of CPU time.[ top ]
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10. REFERENCES
- M. Popovici
On the Resolution of Slow-Neutron Spectrometers. IV. The
Triple-Axis Spectrometer Resolution Function, Spatial Effects
Included.
Acta Cryst (1975) A31,507-513.
- M. Popovici
On the Resolution of Slow-Neutron Spectrometers. IV. The
Triple-Axis Spectrometer Resolution Function, Spatial Effects
Included.
Acta Cryst (1975) A31,507-513.
IAEA0942/01, included references:
- M. Popovici, A.D. Stoica and I. Ionita:Optics of Curved-Crystal Neutron Spectrometers,
I. Three-Axis Spectrometers.
- Description of IMSL Subroutine ZXMIN (June 1980)
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IAEA0942/01
62,000 (octal) words are required to run the test case on a CDC CYBER 830.[ top ]
IAEA0942/01
NOS2.5.1 (CDC CYBER 830).[ top ]
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IAEA0942/01
| File name | File description | Records |
|---|---|---|
| IAEA0942_01.001 | Information file | 48 |
| IAEA0942_01.002 | TRAX how to use | 319 |
| IAEA0942_01.003 | JCL and control information | 9 |
| IAEA0942_01.004 | TRAX source program | 2680 |
| IAEA0942_01.005 | Sample problem input | 29 |
| IAEA0942_01.006 | Sample problem output | 493 |
Keywords: covariance matrices, resolution, scattering, spectrometers, thermal neutrons.