An algorithm is proposed for mathematical processing of Mössbauer spectra of solid solutions by the Tikhonov regularization method using the Voigt function as an elementary line. Spectra of solid solutions Fe100–xGex (x = 5–25 at.%) and Fe75Si15Al10 were processed as examples to show that the algorithm can produce a physically reasonable solution, improve significantly the quality of the processed spectra, and expand the possibilities of Mössbauer spectroscopy. The Voigt function was shown to be a satisfactory approximation for describing the statistical ensemble of nonequivalent local Fe configurations in disordered solid solutions.
Similar content being viewed by others
References
V. S. Litvinov, S. D. Karakishev, and V. V. Ovchinnikov, Nuclear Gamma-Resonance Spectroscopy of Alloys [in Russian], Metallurgiya, Moscow, 1982.
K. Lagarec and D. G. Rancourt, Nucl. Instrum. Methods Phys. Res., Sect. B, 129, No. 2, 266–280 (1997).
V. S. Rusakov, Mossbauer Spectroscopy of Locally Heterogeneous Systems [in Russian], OPNIIYaFNYaTsRK, Almaty (2000).
V. I. Petrov, S. S. Martynenko, and N. D. Khmelevskaya, Zh. Prikl. Spektrosk., 84, 936–941 (2017) [V. I. Petrov, S. S. Martynenko, and N. D. Khmelevskaya, J. Appl. Spectrosc., 84, No. 6, 1014–1018 (2017)].
V. P. Gladkov, V. I. Petrov, S. S. Martynenko, and A. V. Kryanev, Yad. Fiz. Inzh., 3, No. 4, 349–355 (2012).
V. P. Gladkov, V. A. Kashcheev, A. Kh. Kuskov, and V. I. Petrov, Zh. Prikl. Spektrosk., 71, No. 6, 668–671 (2004).
M. A. Chuev, Dokl. Ross. Akad. Nauk, 438, No. 6, 747–751 (2011).
S. M. Irkaev, V. G. Semenov, V. E. Kurochkin, N. A. Makarov, V. V. Panchuk, A. L. Ter-Martirosyan, and K. P. Cherneutsanu, Nauchn. Priborostr., 17, No. 2, 3–19 (2007).
A. N. Timoshevskii, S. O. Yablonovskii, and V. I. Eremin, Usp. Fiz. Met., 12, 451–470 (2011).
A. N. Tikhonov and V. Ya. Arsenin, Methods for Solving Ill-posed Problems [in Russian], Nauka, Moscow (1986).
E. V. Voronina, A. L. Ageev, O. M. Nemtsova, and E. P. Yelsukov, Czech. J. Phys., 47, No. 5, 547–552 (1997).
O. M. Nemtsova and G. N. Konygin, Zh. Prikl. Spektrosk., 85, No. 5, 830–835 (2018) [O. M. Nemtsova and G. N. Konygin, J. Appl. Spectrosc., 85, 931–935 (2018)].
E. P. Elsukov, G. N. Konygin, and V. E. Porsev, Fiz. Met. Metalloved., 105, No. 2, 152–160 (2008).
G. N. Konygin, E. P. Elsukov, and V. E. Porsev, Fiz. Met. Metalloved., 96, No. 3, 59–66 (2003).
V. G. Semenov, L. N. Moskvin, and A. A. Efremov, Usp. Khim., 75, No. 4, 354–365 (2006).
G. A. Dorofeev and V. S. Litvinov, Metallofizika, 4, No. 3, 38–45 (1982).
A. K. Arzhnikov, L. V. Dobysheva, G. N. Konygin, and E. P. Elsukov, Fiz. Tverd. Tela, 47, No. 11, 1981–1989 (2005).
K. Yazovskikh, S. F. Lomayeva, A. A. Shakov, G. N. Konygin, and O. M. Nemtsova, in: Abstracts of the Vth Int. Conf. "Fundamental Bases of Mechanochemical Technologies," June 25–28, 2018, Novosibirsk, Russia, IPC NSU (2018), p. 35.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 86, No. 3, pp. 374–381, May–June, 2019.
Rights and permissions
About this article
Cite this article
Konygin, G.N., Nemtsova, O.M. & Porsev, V.E. Mössbauer Spectra of Solid Solutions Processed Using the Voigt Function. J Appl Spectrosc 86, 409–415 (2019). https://doi.org/10.1007/s10812-019-00834-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10812-019-00834-0