1. Fundamental Aspects and Technical Development of PIXENo Access

ANALYSIS OF X-RAY SPECTRA BY GENETIC ALGORITHM

TAKESHI MUKOYAMA

Institute for Chemical Research, Kyoto University, Uji, Kyoto, 611-0011, Japan

https://doi.org/10.1142/S0129083599000206Cited by:4 (Source: Crossref)

Abstract

The X-ray emission spectra have been analyzed by the genetic algorithm. The X-ray peaks are represented by Gaussians or Lorentzians and the best estimates of their parameters are determined with the optimization strategy based on the mechanism of natural selection and natural genetics. The calculated results for artificial, pseudo-experimental, and experimental spectra are compared with those obtained by other methods and the validity of the present method is demonstrated.

Keywords:

References

S. A. E. Johansson and J. L. Campbell , PIXE: A Novel Techniques for Elemental Analysis ( John Wiley & Sons , Chichester , 1988 ) . Google Scholar
Y. Watanabe, T. Kubozoe and T. Mukoyama, Nucl. Instr. and Meth. B 17, 81 (1986), DOI: 10.1016/0168-583X(86)90456-8. Crossref, Web of Science, Google Scholar
T. Mukoyama, Nucl. Instr. and Meth. 125, 289 (1975), DOI: 10.1016/0029-554X(75)90281-5. Crossref, Web of Science, Google Scholar
T. Mukoyama, Nucl. Instr. and Meth. 180, 553 (1981), DOI: 10.1016/0029-554X(81)90099-9. Crossref, Web of Science, Google Scholar
T. Mukoyama, Nucl. Instr. and Meth. 126, 153 (1975), DOI: 10.1016/0029-554X(75)90244-X. Crossref, Web of Science, Google Scholar
T. Mukoyama and J. Végh, Nucl. Instr. and Meth. 173, 345 (1980), DOI: 10.1016/0029-554X(80)90790-9. Crossref, Web of Science, Google Scholar
P. R. Bevington , Data Reduction and Error Analysis for the Physical Sciences ( McGraw-Hill , New York , 1969 ) . Google Scholar
R. Fletcher, Comput. Phys. Commun. 3, 159 (1972), DOI: 10.1016/0010-4655(72)90065-3. Crossref, Web of Science, Google Scholar
F. James and M. Roos, Comput. Phys. Commun. 10, 343 (1975), DOI: 10.1016/0010-4655(75)90039-9. Crossref, Web of Science, Google Scholar
M. J. Koskelo, P. A. Aarnio and J. T. Routti, Comput. Phys. Commun. 24, 11 (1981), DOI: 10.1016/0010-4655(81)90104-1. Crossref, Web of Science, Google Scholar
J. A. Nelder and R. Mead, Comput. J. 7, 308 (1965). Crossref, Web of Science, Google Scholar
D. A. Golberg , Genetic Algorithms in Search of Optimization and Machine Learning ( Addison-Wesley , Reading, MA , 1989 ) . Google Scholar
L. Davis , Handbook of Genetic Algorithms ( Van Nostrand Reinhold , New York , 1991 ) . Google Scholar
Z. Michalewicz , Genetic Algorithms + Data Structures = Evolution Programs , 3rd edn. ( Springer , Berlin , 1996 ) . Crossref, Google Scholar
H.-P. Schwefel , Evolution and Optimum Seeking ( John Wiley & Sons , New York , 1995 ) . Google Scholar
H. Ahonen, P. A. de Souza Jr. and V. K. Garg, Nucl. Instr. and Meth. B 124, 633 (1997), DOI: 10.1016/S0168-583X(97)00107-9. Crossref, Web of Science, Google Scholar
D. Küchler, Beiträge zur Analyse energie- und wellenlängen-dispersive gemessener Röntgenspektren neutraler und ionisieter Atome, Diploma Thesis, TU Dresden (1994) . Google Scholar
D. Küchler, U. Lehnert and G. Zschornack, Nucl. Instr. and Meth. B 103, 243 (1995). Crossref, Web of Science, Google Scholar
D. A. Diver, Eur. J. Phys. 16, 211 (1995), DOI: 10.1088/0143-0807/16/5/003. Crossref, Google Scholar
D. A. Diver and D. G. Ireland, Nucl. Instr. and Meth. A 339, 414 (1997). Google Scholar
A. Agapie, F. Fagarasan and B. Stanciulescu, Nucl. Instr. and Meth. A 389, 288 (1997), DOI: 10.1016/S0168-9002(97)00093-4. Crossref, Web of Science, Google Scholar
Z. Klencsár, Nucl. Instr. and Meth. B 129, 527 (1997). Crossref, Web of Science, Google Scholar
P. Charbonneau, Astrophys. J. Suppl. 101, 309 (1995), DOI: 10.1086/192242. Crossref, Web of Science, Google Scholar
S. W. McIntoshet al., Astron. Astrophys. Suppl. Ser. 132, 145 (1998), DOI: 10.1051/aas:1998364. Crossref, Google Scholar
P. Charbonneau and B. Knapp, A User's Guide to PIKAIA 1.0, NCAR Technical Note NCAR/TN-418-IA (National Center for Atomospheric Research, Boulder, CO, 1995) . Google Scholar
Yu. A. Schreider (ed.), The Monte Carlo Method (Pergamon, New York, 1962) p. 314. Google Scholar
M. J. D. Powell, Comput. J. 7, 155 (1965), DOI: 10.1093/comjnl/7.2.155. Crossref, Web of Science, Google Scholar
W. H. Press et al. , Numerical Recipes , 2nd edn. ( Cambridge Univ. Press , Cambridge , 1992 ) . Google Scholar
Y. Watanabe, T. Kubozoe and T. Mukoyama, Nucl. Instr. and Meth. B 44, 34 (1989), DOI: 10.1016/0168-583X(89)90685-X. Web of Science, Google Scholar