Representation of lineshape parameters and deconvolution of Mössbauer spectra

J. G. Mullen; A. Djedid; D. Cowan; G. Schupp; M. L. Crow; Y. Cao; W. B. Yelon

doi:10.1016/0375-9601(88)90113-2

Representation of lineshape parameters and deconvolution of Mössbauer spectra

J. G. Mullen, A. Djedid, D. Cowan, G. Schupp, M. L. Crow, Y. Cao, W. B. Yelon

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12 Scopus citations

Abstract

We report a rapidly convergent analytic representation for the Mössbauer effect (ME) lineshape and its Fourier transform, which gives an exact description of transmission and conversion electron cases. This representation permits the accurate determination of all Mössbauer effect (ME) parameters, including position, width, cross section, and interference and can be used to deconvolute hyperfine information contained in either source or absorber. The limitations of lorentzian and exponential-lorentzian fits to ME experiments are clarified.

Original language	English
Pages (from-to)	242-246
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	127
Issue number	4
DOIs	https://doi.org/10.1016/0375-9601(88)90113-2
State	Published - Feb 22 1988
Externally published	Yes

Funding

Work prepared with the support of the US Department of En-ergy, Grants No DE-FG02-85 ER 45199 and DE-FG02-85 ER 45200 This research was carried out under a sabbatical leave from Purdue University The financial support of the University of Missouri Research Reactor Facility made this sabbatical leave possible and is gratefully acknowledged. ~t Refs \[1 ,2\] give a good summary of experimental papers measuring interference. See ref \[3\]f or additional references Bykov and Hlen \[5 \] have given many properties of the convolution integral m terms of Bessel functions, and Heberle and coworkers \[6 \] have reported an analytic representation of a series expansion of the convolution integral evaluated by the method of residues. We report here new a method of analytically representing ME hnes and their Fourier transforms. Based on the convolution theorem our method allows direct deconvolution of source and absorber spectra and is highly convergent m the thickness number and is readily extended to include source broadening due to self absorption.

Funders	Funder number
US Department of En-ergy	DE-FG02-85 ER 45199, DE-FG02-85 ER 45200
Purdue University
University of Missouri

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10.1016/0375-9601(88)90113-2

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abstract = "We report a rapidly convergent analytic representation for the M{\"o}ssbauer effect (ME) lineshape and its Fourier transform, which gives an exact description of transmission and conversion electron cases. This representation permits the accurate determination of all M{\"o}ssbauer effect (ME) parameters, including position, width, cross section, and interference and can be used to deconvolute hyperfine information contained in either source or absorber. The limitations of lorentzian and exponential-lorentzian fits to ME experiments are clarified.",

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T1 - Representation of lineshape parameters and deconvolution of Mössbauer spectra

AU - Mullen, J. G.

AU - Djedid, A.

AU - Cowan, D.

AU - Schupp, G.

AU - Crow, M. L.

AU - Cao, Y.

AU - Yelon, W. B.

PY - 1988/2/22

Y1 - 1988/2/22

N2 - We report a rapidly convergent analytic representation for the Mössbauer effect (ME) lineshape and its Fourier transform, which gives an exact description of transmission and conversion electron cases. This representation permits the accurate determination of all Mössbauer effect (ME) parameters, including position, width, cross section, and interference and can be used to deconvolute hyperfine information contained in either source or absorber. The limitations of lorentzian and exponential-lorentzian fits to ME experiments are clarified.

AB - We report a rapidly convergent analytic representation for the Mössbauer effect (ME) lineshape and its Fourier transform, which gives an exact description of transmission and conversion electron cases. This representation permits the accurate determination of all Mössbauer effect (ME) parameters, including position, width, cross section, and interference and can be used to deconvolute hyperfine information contained in either source or absorber. The limitations of lorentzian and exponential-lorentzian fits to ME experiments are clarified.

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U2 - 10.1016/0375-9601(88)90113-2

DO - 10.1016/0375-9601(88)90113-2

M3 - Article

AN - SCOPUS:0542363169

SN - 0375-9601

VL - 127

SP - 242

EP - 246

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

Representation of lineshape parameters and deconvolution of Mössbauer spectra

Abstract

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