NESC9654 GAMANAL.

1. NAME OR DESIGNATION OF PROGRAM:  GAMANAL.

3. DESCRIPTION OF PROGRAM OR FUNCTION

GAMANAL provides a complete qualitative and quantitative analysis of mixtures of radioactive species such as fission products by computer interpretation of high-resolution gamma-ray spectra. The program first determines and  removes the background or Compton continuum under the peaks in a spectrum to locate the peak regions. This is done by examining the pulse-height spectrum data for background and peak regions and then  fitting these data with the proper shape functions. When determining the photon emission rate, corrections are made for the effects of geometry, attenuation, and detector efficiency. Nonlinearities in the equipment are taken into account in setting up the energy scale. The total intensities and gamma-ray energies are listed and plotted  and,if no further reduction of the spectral data is requested, the program repeats this process with the next spectrum. Otherwise, a library of decay scheme information is searched to make a tentative  identification of each of the peaks. These proposed nuclides are examined for interferences between their photopeaks to determine which isotope is responsible for the peak in question. A matrix of the probable nuclides and the identified peaks is constructed and is then divided into sets of nuclides which interfere with each other.  These independent sets are combined to form a working matrix. A least-squares solution of the corresponding set of simultaneous equations is made to determine the amounts of the various component  nuclides present and their estimated errors.

4. METHOD OF SOLUTION

Peaks are located by a point-by-point examination of the first and second derivatives within the bounds of identified peak regions using statistically-weighted tests. Peak shapes are characterized by a shape analysis functions, which is the sum of a Gaussian and a tailing term. The data points in an overlapping peak multiplet are considered to be linear combinations  of the contributions from each peak. A detailed analysis of each peak region is done by keeping some shape parameters fixed and obtaining the best least-squares value for all free parameters using the Newton-Raphson (Gauss) iterative technique. A Taylor expansion about trial values is used to linearize the equations. A matrix of linear equations that describe the spectral intensities is formed to correct for unresolved peak interferences. A Gaussian function is used to determine how well the component nuclide's gamma-ray energy  agrees with the energy of the peak in question.

5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:

6. TYPICAL RUNNING TIME:

NEA-DB ran the test case on a VAX-11/780 computer with  the VERSAPLOT o/p plotter in 71 seconds of CPU time.

7. UNUSUAL FEATURES OF THE PROGRAM:

8. RELATED AND AUXILIARY PROGRAMS

LIBETP, an auxiliary program which  is used to generate a GAMANAL decay-scheme library, is included. Graphic output is provided by DIGLIB and DIGRAPH, which are included. DIGLIB is a collection of FORTRAN-callable subroutines for two-dimensional plots. DIGRAPH acts as a shell for the GKS graphics  routines.

10. REFERENCES:

- NEA Data Bank:
  Note Concerning Documentation of GAMANAL.
  NEADB Note (February 1988)
- C. Yuelys-Miksis:
  GAMANAL Tape Directory
  NESC Note 86-35  (April 15, 1986)
- R. Gunnink and J.B. Niday:
  Computerized Quantitative Analysis by Gamma-Ray Spectrometry.
  Volume 1. Description of the GAMANAL Program
  UCRL-51061, Vol. I  (March 1, 1972)
- J.B. Niday and R. Gunnink:
  Computerized Quantitative Analysis by Gamma-Ray Spectrometry.
  Volume III. A User's Guide to GAMANAL.
  UCRL-51061, Vol. III (July 8, 1971)
- R. Gunnink and J.B. Niday:
  Computerized Quantitative Analysis by Gamma-Ray Spectrometry.
  Volume IV. Auxiliary Programs for GAMANAL.
  UCRL-51061, Vol. IV (June 1, 1972)

11. MACHINE REQUIREMENTS:

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  VMS 4.2 (DEC VAX11/750), VMS 4.4 (DEC VAX11/780).

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

15. NAME AND ESTABLISHMENT OF AUTHORS

          R. Gunnink
          Lawrence Livermore National Laboratory
          Livermore, California, U.S.A.

File name	File description	Records
NESC9654_01.001	INFORMATION FILE	330
NESC9654_01.002	COMMAND FILE TO RESTORE ORIGINAL FILENAMES	230
NESC9654_01.003	HELP FILE	248
NESC9654_01.004	LIBRARY PROGRAM FORTRAN SOURCE	533
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NESC9654_01.006	PERIODIC TABLE SYMBOLS	5
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