An algorithm for mathematical processing of Mössbauer spectra of supersaturated disordered solid solutions by the Tikhonov regularization method employing a double convolution of a Lorentz and two Gaussian functions is proposed. For examples of spectra of supersaturated disordered solid solutions of Fe100–x (x = 10–25 at.%) and Fe75Si15Al10 it is shown that the algorithm can be used to provide more accurate processing with provision of a reliable distribution function for the hyperfine magnetic field. It is shown that to account for a statistical ensemble of nonequivalent local atomic configurations of Fe atoms in disordered saturated solid solutions it is necessary to use not only the convolution of two Gaussian functions, but also a scaling coefficient for the projection of the hyperfine magnetic field onto the velocity scale.
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References
V. S. Rusakov, Mössbauer Spectroscopy of Locally Nonuniform Systems [in Russian], IYaF NYaTs RK, Almaty (2000).
V. S. Litvinov, S. D. Karakishev, and V. V. Ovchinnikov, Nuclear Gamma-Resonance Spectroscopy of Alloys [in Russian], Metallurgiya, Moscow (1982).
G. N. Konygin, J. Appl. Spectrosc., 86, 409–415 (2019); https://doi.org/10.1007/s10812-019-00834-0.
V. P. Gladkov, S. S. Martynenko, and V. I. Petrov, J. Appl. Spectrosc., 78, 296–300 (2011); https://doi.org/10.1007/s10812-011-9462-5.
V. P. Gladkov, V. A. Kascheev, A. H. Kouskov, and V. I. Petrov, J. Appl. Spectrosc., 71, 731–735 (2004); https://doi.org/10.1023/B:JAPS.0000049636.15453.0c.
M. A. Chuev, Dokl. Ross. Akad. Nauk, 438, No. 6, 747–751, (2011).
G. N. Konygin, E. P. Yelsukov, and V. E. Porsev, J. Magn. Magn. Mater., 288, 27–36 (2005); https://doi.org/10.1016/j.jmmm.2004.07.052.
G. N. Konygin, E. P. Elsukov, and V. E. Porsev, FMM, 96, No. 3, 59–66 (2003).
K. Lagarec and D. G. Rancourt, NIMB, 129, 266–280 (1997).
A. F. Verlan’ and V. S. Sizikov, Integral Equations: Methods, Algorithms, Programs, Naukova Dumka, Kiev (1986).
Y. Gao, L. Xiao, and B. Wu, J. Pet. Sci. Eng., 194, 107508 (2020); https://doi.org/10.1016/j.petrol.2020.107508.
J. Cheng, B. Hofmann, and S. Lu, J. Comput. Appl. Math., 265, 110–119 (2014); https://doi.org/10.1016/j.cam.2013.09.035.
S. Mohammady and M. R. Eslahchi, J. Comput. Appl. Math., 371, 112677 (2020); https://doi.org/10.1016/j.cam.2019.112677.
O. M. Nemtsova and G. N. Konygin, Program for Processing Mössbauer Spectra by the Method of Tikhonov Regularization with Correction of Hyperfine Interaction, sv. gos. reg PRÉVM No. 2020667880, Rospatent (2020).
O. M. Nemtsova, G. N. Konygin, and V. E. Porsev, J. Appl. Spectrosc., 88, 373–381 (2021); https://doi.org/10.1007/s10812-021-01185-5.
K. Pearson, Phil. Mag., Ser. 5, 50, No. 302, 157–175 (1900).
G. S. Zhdanov, A. S. Ilyushin, and S. V. Nikitina, Diffraction and Resonance Structural Analysis. X-ray, Electron, and Neutron-Mössbauer Spectroscopy [in Russian], Nauka, Moscow (1980).
O. Kubashevskii, Diagrams of State of Binary Systems based on Iron [in Russian], Metallurgiya, Moscow (1985).
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Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 88, No. 6, pp. 907–913, November–December, 2021.
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Konygin, G.N., Nemtsova, O.M. Use of a Double Convolution of Lorentz and Gaussian Functions for Processing Mössbauer Spectra of Supersaturated Disordered Solid Solutions. J Appl Spectrosc 88, 1176–1182 (2022). https://doi.org/10.1007/s10812-022-01296-7
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DOI: https://doi.org/10.1007/s10812-022-01296-7