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Mössbauer Spectra of Solid Solutions Processed Using the Voigt Function
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– x Ge x (x = 5–25 at.%) and Fe 75 Si 15 Al 10 were processed as examples to show that th...
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Published in: | Journal of applied spectroscopy 2019-07, Vol.86 (3), p.409-415 |
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container_title | Journal of applied spectroscopy |
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creator | Konygin, G. N. Nemtsova, O. M. Porsev, V. E. |
description | 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–
x
Ge
x
(x = 5–25 at.%) and Fe
75
Si
15
Al
10
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. |
doi_str_mv | 10.1007/s10812-019-00834-0 |
format | article |
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x
Ge
x
(x = 5–25 at.%) and Fe
75
Si
15
Al
10
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.</description><identifier>ISSN: 0021-9037</identifier><identifier>EISSN: 1573-8647</identifier><identifier>DOI: 10.1007/s10812-019-00834-0</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Algorithms ; Analytical Chemistry ; Atomic/Molecular Structure and Spectra ; Line spectra ; Mathematical analysis ; Mossbauer spectroscopy ; Physics ; Physics and Astronomy ; Regularization ; Regularization methods ; Solid solutions ; Spectrum analysis</subject><ispartof>Journal of applied spectroscopy, 2019-07, Vol.86 (3), p.409-415</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2019</rights><rights>COPYRIGHT 2019 Springer</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c392t-c35f4b035624488460bacf8493a35c8581373dbe811f47e0025d0b89ed4d3ece3</citedby><cites>FETCH-LOGICAL-c392t-c35f4b035624488460bacf8493a35c8581373dbe811f47e0025d0b89ed4d3ece3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Konygin, G. N.</creatorcontrib><creatorcontrib>Nemtsova, O. M.</creatorcontrib><creatorcontrib>Porsev, V. E.</creatorcontrib><title>Mössbauer Spectra of Solid Solutions Processed Using the Voigt Function</title><title>Journal of applied spectroscopy</title><addtitle>J Appl Spectrosc</addtitle><description>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–
x
Ge
x
(x = 5–25 at.%) and Fe
75
Si
15
Al
10
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.</description><subject>Algorithms</subject><subject>Analytical Chemistry</subject><subject>Atomic/Molecular Structure and Spectra</subject><subject>Line spectra</subject><subject>Mathematical analysis</subject><subject>Mossbauer spectroscopy</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regularization</subject><subject>Regularization methods</subject><subject>Solid solutions</subject><subject>Spectrum analysis</subject><issn>0021-9037</issn><issn>1573-8647</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kc9KxDAQh4MouK6-gKeCJw_VyZ826VHEVUFRXNdraNNprazNmqSgL-YL-GJmrSB7kcAEhu_LTPgRckjhhALIU09BUZYCLVIAxUUKW2RCM8lTlQu5TSYAjKYFcLlL9rx_AYBCMZiQq9uvT--rckCXzFdogisT2yRzu-zqdR1CZ3uf3Dtr0Husk4Xv-jYJz5g82a4NyWzozZrZJztNufR48HtPyWJ28Xh-ld7cXV6fn92khhcsxJo1ogKe5UwIpUQOVWkaJQpe8syoTFEueV2horQREuPaWQ2VKrAWNUeDfEqOxndXzr4N6IN-sYPr40jNWK5A5rKQkToZqbZcou76xsaPmXhqfO2M7bHpYv8sK5RgIhMiCscbQmQCvoe2HLzX1_OHTZaNrHHWe4eNXrnutXQfmoJex6HHOHSMQ__EoSFKfJR8hPsW3d_e_1jfqWiLng</recordid><startdate>20190701</startdate><enddate>20190701</enddate><creator>Konygin, G. N.</creator><creator>Nemtsova, O. M.</creator><creator>Porsev, V. E.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20190701</creationdate><title>Mössbauer Spectra of Solid Solutions Processed Using the Voigt Function</title><author>Konygin, G. N. ; Nemtsova, O. M. ; Porsev, V. E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c392t-c35f4b035624488460bacf8493a35c8581373dbe811f47e0025d0b89ed4d3ece3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Algorithms</topic><topic>Analytical Chemistry</topic><topic>Atomic/Molecular Structure and Spectra</topic><topic>Line spectra</topic><topic>Mathematical analysis</topic><topic>Mossbauer spectroscopy</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regularization</topic><topic>Regularization methods</topic><topic>Solid solutions</topic><topic>Spectrum analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Konygin, G. N.</creatorcontrib><creatorcontrib>Nemtsova, O. M.</creatorcontrib><creatorcontrib>Porsev, V. E.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Journal of applied spectroscopy</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Konygin, G. N.</au><au>Nemtsova, O. M.</au><au>Porsev, V. E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mössbauer Spectra of Solid Solutions Processed Using the Voigt Function</atitle><jtitle>Journal of applied spectroscopy</jtitle><stitle>J Appl Spectrosc</stitle><date>2019-07-01</date><risdate>2019</risdate><volume>86</volume><issue>3</issue><spage>409</spage><epage>415</epage><pages>409-415</pages><issn>0021-9037</issn><eissn>1573-8647</eissn><abstract>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–
x
Ge
x
(x = 5–25 at.%) and Fe
75
Si
15
Al
10
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.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10812-019-00834-0</doi><tpages>7</tpages></addata></record> |
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source | Springer Nature |
subjects | Algorithms Analytical Chemistry Atomic/Molecular Structure and Spectra Line spectra Mathematical analysis Mossbauer spectroscopy Physics Physics and Astronomy Regularization Regularization methods Solid solutions Spectrum analysis |
title | Mössbauer Spectra of Solid Solutions Processed Using the Voigt Function |
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