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Estimation of the error of hyperfine parameter distribution in Mössbauer spectroscopy

О. М. НемцоваPhysicotechnical Institute, Ural Branch of the Russian Academy of Sciences, Izhevsk, 426000, RussiaA. L. AgeevInstitute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, 620219, RussiaЭ. В. ВоронинаPhysicotechnical Institute, Ural Branch of the Russian Academy of Sciences, Izhevsk, 426000, Russia
ABI

Abstract

To obtain reliable information about the structural properties of samples studied by Mössbauer spectroscopy, a technique for estimating the error in the hyperfine parameter distribution in the uniform metric is proposed. The distribution error contains the error caused by the statistical spread of experimental data and the error of the method for solving the ill-posed inverse problem. A criterion of choice of the regularization parameter is proposed.

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