Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths

Autores
Limandri, Silvina Paola; Bonetto, Rita Dominga; Di Rocco, Hector Omar; Trincavelli, Jorge Carlos
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The Voigt function is the convolution between a Gaussian and a Lorentzian distribution. The numerical implementation of this function is required in diverse areas of physics and applied mathematics. An explicit representation for the Voigt function is developed in terms of series of trigonometric and hyperbolic functions. The obtained expression permits a very fast evaluation of Voigt profiles with a degree of accuracy higher than the one required for spectroscopy applications. In addition, this expression is implemented in a numerical algorithm of parameter optimization in electron probe microanalysis, and applied to determine natural linewidths for several transitions to the uranium M levels. © 2008 Elsevier B.V. All rights reserved.
Fil: Limandri, Silvina Paola. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Bonetto, Rita Dominga. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Fisica Arroyo Seco; Argentina
Fil: Trincavelli, Jorge Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
Epma
Natural Linewidths
Uranium M Characteristic Lines
Voigt Function
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/54237
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidthsLimandri, Silvina PaolaBonetto, Rita DomingaDi Rocco, Hector OmarTrincavelli, Jorge CarlosEpmaNatural LinewidthsUranium M Characteristic LinesVoigt Functionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The Voigt function is the convolution between a Gaussian and a Lorentzian distribution. The numerical implementation of this function is required in diverse areas of physics and applied mathematics. An explicit representation for the Voigt function is developed in terms of series of trigonometric and hyperbolic functions. The obtained expression permits a very fast evaluation of Voigt profiles with a degree of accuracy higher than the one required for spectroscopy applications. In addition, this expression is implemented in a numerical algorithm of parameter optimization in electron probe microanalysis, and applied to determine natural linewidths for several transitions to the uranium M levels. © 2008 Elsevier B.V. All rights reserved.Fil: Limandri, Silvina Paola. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Bonetto, Rita Dominga. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; ArgentinaFil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Fisica Arroyo Seco; ArgentinaFil: Trincavelli, Jorge Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaPergamon-Elsevier Science Ltd2008-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/54237Limandri, Silvina Paola; Bonetto, Rita Dominga; Di Rocco, Hector Omar; Trincavelli, Jorge Carlos; Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths; Pergamon-Elsevier Science Ltd; Spectrochimica Acta Part B: Atomic Spectroscopy; 63; 9; 9-2008; 962-9670584-8547CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.sab.2008.06.001info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0584854708001602info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:50:42Zoai:ri.conicet.gov.ar:11336/54237instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:50:42.973CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
title Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
spellingShingle Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
Limandri, Silvina Paola
Epma
Natural Linewidths
Uranium M Characteristic Lines
Voigt Function
title_short Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
title_full Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
title_fullStr Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
title_full_unstemmed Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
title_sort Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths
dc.creator.none.fl_str_mv Limandri, Silvina Paola
Bonetto, Rita Dominga
Di Rocco, Hector Omar
Trincavelli, Jorge Carlos
author Limandri, Silvina Paola
author_facet Limandri, Silvina Paola
Bonetto, Rita Dominga
Di Rocco, Hector Omar
Trincavelli, Jorge Carlos
author_role author
author2 Bonetto, Rita Dominga
Di Rocco, Hector Omar
Trincavelli, Jorge Carlos
author2_role author
author
author
dc.subject.none.fl_str_mv Epma
Natural Linewidths
Uranium M Characteristic Lines
Voigt Function
topic Epma
Natural Linewidths
Uranium M Characteristic Lines
Voigt Function
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The Voigt function is the convolution between a Gaussian and a Lorentzian distribution. The numerical implementation of this function is required in diverse areas of physics and applied mathematics. An explicit representation for the Voigt function is developed in terms of series of trigonometric and hyperbolic functions. The obtained expression permits a very fast evaluation of Voigt profiles with a degree of accuracy higher than the one required for spectroscopy applications. In addition, this expression is implemented in a numerical algorithm of parameter optimization in electron probe microanalysis, and applied to determine natural linewidths for several transitions to the uranium M levels. © 2008 Elsevier B.V. All rights reserved.
Fil: Limandri, Silvina Paola. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Bonetto, Rita Dominga. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Fisica Arroyo Seco; Argentina
Fil: Trincavelli, Jorge Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description The Voigt function is the convolution between a Gaussian and a Lorentzian distribution. The numerical implementation of this function is required in diverse areas of physics and applied mathematics. An explicit representation for the Voigt function is developed in terms of series of trigonometric and hyperbolic functions. The obtained expression permits a very fast evaluation of Voigt profiles with a degree of accuracy higher than the one required for spectroscopy applications. In addition, this expression is implemented in a numerical algorithm of parameter optimization in electron probe microanalysis, and applied to determine natural linewidths for several transitions to the uranium M levels. © 2008 Elsevier B.V. All rights reserved.
publishDate 2008
dc.date.none.fl_str_mv 2008-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/54237
Limandri, Silvina Paola; Bonetto, Rita Dominga; Di Rocco, Hector Omar; Trincavelli, Jorge Carlos; Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths; Pergamon-Elsevier Science Ltd; Spectrochimica Acta Part B: Atomic Spectroscopy; 63; 9; 9-2008; 962-967
0584-8547
CONICET Digital
CONICET
url http://hdl.handle.net/11336/54237
identifier_str_mv Limandri, Silvina Paola; Bonetto, Rita Dominga; Di Rocco, Hector Omar; Trincavelli, Jorge Carlos; Fast and accurate expression for the Voigt function. Application to the determination of uranium M linewidths; Pergamon-Elsevier Science Ltd; Spectrochimica Acta Part B: Atomic Spectroscopy; 63; 9; 9-2008; 962-967
0584-8547
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.sab.2008.06.001
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0584854708001602
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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