NDLI: Analysis of broadened Mössbauer spectra using simple mathematical functions : Analysis of broadened Mössbauer spectra

Content Provider	Springer Nature Link
Author	Cabral Prieto, A.
Copyright Year	2013
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 $P\left( x \right)=\left( {a\mathrm{Cos}\left( {\pi x} \right)+b\mathrm{Sin}\left( {\pi x} \right)} \right)^n$ 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 λ C . For 0 < λ C < 1 a hyperfine distribution with low resolution may be obtained; for λ C > 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.
Starting Page	15
Ending Page	24
Page Count	10
File Format	PDF
ISSN	03043843
Journal	Hyperfine Interactions
Volume Number	224
Issue Number	1-3
e-ISSN	15729540
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-03-20
Publisher Place	Dordrecht
Access Restriction	Subscribed
Subject Keyword	Mössbauer spectroscopy No implicit and implicit hyperfine distributions Amorphous alloys Short range atomic order Nuclear Physics, Heavy Ions, Hadrons Atomic, Molecular, Optical and Plasma Physics Condensed Matter Physics Surfaces and Interfaces, Thin Films
Content Type	Text
Resource Type	Article
Subject	Nuclear and High Energy Physics Atomic and Molecular Physics, and Optics Physical and Theoretical Chemistry Condensed Matter Physics

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