Maximum Entropy Method in Mössbauer Spectroscopy - a Problem of Magnetic Texture

• Authors: D. Satuła , K. Szymański , L. Dobrzyński
• Languages of publication: EN

Abstracts

EN

A reconstruction of the three dimensional distribution of the hyperfine magnetic field, isomer shift and texture parameter z from the Mössbauer spectra by the maximum entropy method is presented. The method was tested on the simulated spectrum consisting of two Gaussian hyperfine field distributions with different values of the texture parameters. It is shown that proper prior has to be chosen in order to arrive at the physically meaningful results.

Keywords

EN

76.80.+y; 02.60.-x

Discipline

• 76.80.+y: Mössbauer effect; other γ-ray spectroscopy(see also 33.45.+x Mössbauer spectra—in atomic and molecular physics; for biophysical applications, see 87.64.kx; for chemical analysis applications, see 82.80.Ej)
• 02.60.-x: Numerical approximation and analysis

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 119
• Issue: 1
• Pages: 78-80

Dates

published

2011-01

Contributors

author

D. Satuła

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

author

K. Szymański

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

author

L. Dobrzyński

• Faculty of Physics, University of Białystok, 41 Lipowa Str., 15-424 Białystok, Poland
• The Soltan Institute for Nuclear Studies, 05-400 Otwock-Świerk, Poland

References

• 1. F. Varet, A. Gérard, P. Imbert, Phys. Status Solidi B 43, 723 (1971)
• 2. J. Hesse, A. Rübartsch, J. Phys. E: Sci. Instrum. 7, 526 (1974)
• 3. B. Window, J. Phys. E: Sci. Instrum. 4, 401 (1971)
• 4. R.A. Brand, G. Le Caer, Nucl. Instrum. Methods Phys. Res., Sect. B 34, 272 (1988)
• 5. E.T. Jaynes, Probability Theory. The Logic of Science, Camridge University Press, 2003
• 6. L. Dobrzyński, X-ray Compton scattering, Oxford University Press, 2004, pp. 188-209
• 7. U. Gerhard, S. Marquardt, N. Schroeder, S. Weiss, Phys. Rev. B 58, 6877 (1998)
• 8. B. Buck, V.A. Macaulary, Maximum entropy in action. Clarendon Press, Oxford 1991
• 9. L. Dobrzyński, K. Szymański, D. Satula, Nukleonika 49, S89 (2004)
• 10. L. Dobrzyński, A. Holas, D. Satuła, K. Szymański, in: Bayesian Inferencje and Maximum Entropy Methods in Science and Engineering, 26th International Workshop, Ed. A. Mohammad-Djafari, American Institute of Physics, 2006
• 11. D. Satula, K. Szymański, L. Dobrzyński, J. Phys. Condens. Matter 22, 296005 (2010)

Identifiers

DOI

10.12693/APhysPolA.119.78