Abstract
Simulated and experimental broadened Mössbauer spectra are analyzed using several distribution functions. The resolution Hesse and Rübartsch data are reproduced in order to analyze the origin of the oscillations appearing in the recovered distribution function. The lined triangular distribution is used and some of its properties are described. The no implicit nth-nomial distribution function P(x) = (aCos (πx) + bSin (πx))n is introduced, complementing the Window and Hesse and Rübartasch no implicit distribution functions. This new no implicit distribution function gives similar results of those of Window’s method. In addition, the Window method has also been modified by inserting a smoothing factor λC. For 0 < λC < 1 a hyperfine distribution with low resolution may be obtained; for λC > 1, the opposite is obtained. The Levenberg-Marquardt algorithm is used to solve the involved Fredholm integral equation rather than the typical second order regularized algorithm. From the extracted hyperfine field distribution functions of the Mössbauer spectra of the amorphous and crystallized Fe70Cr2Si5B16 magnetic alloy the short range atomic order for the amorphous state of this alloy can be inferred.
Proceedings of the Thirteenth Latin American Conference on the Applications of the Mössbauer Effect, (LACAME 2012), Medellín, Colombia, 11–16 November 2012.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Varret, F., Gerard, A., Imbert, P.: Phis. Stat. Solidi B 43,423 (1971)
Window, B.: J. Phys. E: Sci. Intrum. 4, 401 (1971)
Hesse, J., Riibartsch, A: J. Phys. E: Sci. Instrum. 7, 526 (1974)
Gonser, U., Ghafari, M., Wagner, H.G.: J. Magn. Magn. Mater. 8, 175 (1978)
Vincze, I., Babic, E.: Solid State Commun. 25, 689 (1978)
Vincze, I., Babic, E.: Solid State Commun. 27, 1425 (1978)
Le Caer, G., Dubois, J.M.: J. Phys. E: Sci. Intrum.12, 1083 (1979)
Ford, J.C., Budnick, J.I., Hines, W.A., Hasegawa, R.: J. Appl. Phys. 55,2268 (1984)
Dubois, J.M., Le Caer, G.: J. Physique Colloque 43, C9(12), C9-67 (1982)
Kopcewicz, M., Wagner, H.G., Gonser, U.: J. Physique Colloque 46, C8(12), CS--151(1985)
Eibschiits, M, Lines, M.E. Chen, H.S., Matsumoto, T: J. Phys. F. Met. Phys. 14,505 (1984)
Ideczak, R., Konieczny, R., Chojcan, J: Hyperfine Interact 208, 1(2012). doi:10.1007/s10751-011-0458-6
Pokatilov, V.S.: Phys. Solid State 49(12), 2217 (2007)
Pokatilov, V.S., Dimitrischiits, M, Lines, M.E. Chen, H.S., Matsueva, T.G., Pokatilov, V.V., D’yakonova, N.B.: Ph ys. Solid State 54(9), 1790 (2012)
Barinov, V.A., Tsurin, V.A., Voronin, V.I.,Surikov, V.T.: Phys. Met. Metallogr.108(1), 50 (2009)
Frank, H., Rsenberg, M.: J. Magn. Magn. Mater. 7, 168 (1978)
Sanchez, F.H., Zhang, Y.D., Budnick J.I., Hasegawa R.: J. Appl. Phys. 66(4), 1671 (1989)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Cabral-Prieto, A. (2013). Analysis of broadened Mössbauer spectra using simple mathematical functions. In: Meneses, C.A.B., Caetano, E.P., Torres, C.E.R., Pizarro, C., Alfonso, L.E.Z. (eds) LACAME 2012. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6482-8_2
Download citation
DOI: https://doi.org/10.1007/978-94-007-6482-8_2
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6481-1
Online ISBN: 978-94-007-6482-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)