The maximum entropy method in the analysis of the Mössbauer spectra

• Autorzy: Dobrzyński L. , Szymański K. , Satuła D.
• Konferencja: Proceedings of the All-Polish Seminar on Mössbauer Spectroscopy OSSM'04
• Języki publikacji: EN

Abstrakty

EN

The paper shows the possibility of reconstruction of the distribution of hyperfine field parameters without prior assumptions concerning correlations between parameters. The method used is the maximum entropy method and the distributions considered concern the magnetic field and isomer shift. The results obtained are very encouraging and show the feasibility of the proposed method.

Słowa kluczowe

EN

Bayesian logic; maximum entropy method; Mössbauer spectra

• Wydawca: Institute of Nuclear Chemistry and Technology
• Czasopismo: Nukleonika
• Rocznik: 2004
• Tom: Vol. 49,suppl.3
• Strony: 89--93
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Dobrzyński L.

• Institute of Experimental Physics, University of Białystok, 41 Lipowa Str., 15-424 Białystok, Poland
• The Andrzej Sołtan Institute for Nuclear Studies, 05-400 Otwock-Świerk, Poland, Tel.: [phone], Fax: [phone]

autor

Szymański K.

• Institute of Experimental Physics, University of Białystok, 41 Lipowa Str., 15-424 Białystok, Poland

autor

Satuła D.

• Institute of Experimental Physics, University of Białystok, 41 Lipowa Str., 15-424 Białystok, Poland

Bibliografia

• 1. Brand RA, Le Caer G (1988) Improving the validity of Mössbauer hyperfine parameter distributions: the maximum entropy formalism and its applications. Nucl Instrum Meth Phys Res B 34:272−284
• 2. Bretthorst GL (1988) Bayesian spectrum analysis and parameter estimation. Lecture Notes in Statistics 48. Springer Verlag, New York
• 3. Buck B, Macaulay VA (eds) (1991) Maximum entropy in action. Clarendon Press, Oxford
• 4. Campbell SJ, Whittle GJ, Stewart AM (1983) On the determination of the magnetic hyperfine field distribution in an amorphous alloy. J Magn Magn Mater 31/34:1521−1522
• 5. Chuev MA, Hupe O, Bremers H, Hesse J, Afanas’ev AM (2000) A novel method for evaluation of complex Mössbauer spectra demonstrated on nanostructured ferromagnetic FeCuNbB alloys. Hyperfine Interact 126:407−410
• 6. Cranshaw TE (1974) The deduction of the best values of the parameters from Mössbauer spectra. J Phys E: Sci Instrum 7:122−124
• 7. Dobrzyński L (2004) Momentum density studies by the Maximum Entropy Method. In: Cooper MJ et al. (eds)
• 8. Dou L, Hodgson RJW, Rancourt DG (1995) Bayesian inference theory applied to hyperfine parameter distribution extraction in Mössbauer spectroscopy. Nucl Instrum Meth Phys Res B 100:511−518
• 9. Gerhard U, Marquardt S, Schroeder N, Weiss S (1998) Bayesian deconvolution and analysis of photoelectron or any other spectra: Fermi-liquid vs. marginal Fermi-liquid behavior of the 3d electrons in Ni. Phys Rev B 58:6877−6891
• 10. Hesse J, Rübartsch A (1996) Model independent evaluation of overlapped Mössbauer spectra. J Phys E: Sci Instrum 7:526−532
• 11. Jaynes ET (2003) Probability theory. The Logic of Science, Cambridge
• 12. Le Caer G, Brand RA (1998) General methods for the distributions of electric field gradients in disordered solids. J Phys: Condens Matter 10:10715−10774
• 13. Le Caer G, Dubois JM (1979) Evaluation of hyperfine parameter distributions from overlapped Mössbauer spectra of amorphous alloys. J Phys E: Sci Instrum 12:1083−1090
• 14. Szymański K, Dobrzyński L, Satuła D, Kalska-Szostko B (2003) Trends in Mössbauer polarimetry with circularly polarised radiation. In: Mashlan M, Miglierini M, Schaaf P (eds) Material research in atomic scale by Mössbauer spectroscopy. NATO Science Series, II Mathematics, Physics and Chemistry. Vol 94. Kluwer Academic Publishers, Dordrecht, pp 317−328
• 15. Varret F, Gerard A, Imbert P (1971) Magnetic field distribution analysis of the broadened Mössbauer spectra of zinc ferrite. Phys Status Solidi B 43:723−730
• 16. Window B (1971) Hyperfine field distributions from Mössbauer spectra. J Phys E: Sci Instrum 14:401−402