The estimation of the error of the hyperfine interaction parameter distribution from Mossbauer spectra / Nemtsova OM,Ageev AL,Voronina EV // NUCLEAR INSTRUMENTS \& METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS. - 2002. - V. 187, l. 1. - P. 132-136.

ISSN/EISSN:

0168-583X / нет данных

Type:

Article

Abstract:

The problems of the regularization parameter and estimation of the error of the hyperfine interaction (HFI) parameter distribution restored in processing Mossbauer spectra are discussed. The Tikhonov's regularization method is used as a method for solving the inverse problem. We consider the case when errors in the experimental data are due to statistics only. A procedure for estimating the distribution error, based on singular value decomposition (SVD)-decomposition with some additional information on the exact solution, is proposed. A direct simulation of the error is carried out for some model with the known HFI parameter distribution. The results obtained agree well with the error estimation calculated using SVD. As an example, the proposed procedure is applied to the Mossbauer spectrum of the non-ordered Fe-Si alloy. (C) 2002 Elsevier Science B.V. All rights reserved.

Author keywords:

Mossbauer spectroscopy; the Tikhonov's regularization method randomization; singular value decomposition

DOI:

10.1016/S0168-583X(01)00830-8

Web of Science ID:

ISI:000173291800014

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JAN
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
Research-Areas	Instruments \& Instrumentation; Nuclear Science \& Technology; Physics
Web-of-Science-Categories	Instruments \& Instrumentation; Nuclear Science \& Technology; Physics, Atomic, Molecular \& Chemical; Physics, Nuclear
ORCID-Numbers	Voronina, Elena/0000-0002-3848-2442
Number-of-Cited-References	3
Journal-ISO	Nucl. Instrum. Methods Phys. Res. Sect. B-Beam Interact. Mater. Atoms
Doc-Delivery-Number	511XX