Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Detalhes bibliográficos
Autor(a) principal: Safari, L.
Data de Publicação: 2015
Outros Autores: Santos, J. P., Amaro, P., Jankala, K., Fratini, F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://doi.org/10.1063/1.4921227
Resumo: The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no [291734]. F.F. acknowledges support by Fundacao de Amparo a Pesquisa do estado de Minas Gerais (FAPEMIG), by Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), and by the Austrian Science Fund (FWF) through the START Grant No. Y 591-N16. F.F. acknowledges hospitality of the Neel institute in Grenoble (France), where part of the work has been carried out. L.S., K.J., and F.F. acknowledge support by the Research Council for Natural Sciences and Engineering of the Academy of Finland. P.A. acknowledges the support of the German Research Foundation (DFG) within the Emmy Noether program under Contract No. TA 740 1-1 and FCT, under Contract No. SFRH/BPD/92329/2013. J.P.S. and P.A. acknowledge support by Fundacao para a Ciencia e a Tecnologia (FCT) in Portugal, through the Project Nos. PEstOE/FIS/UI0303/2011 and PTDC/FIS/117606/2010. All authors gladly thank Professor Paul Indelicato, Professor Nivaldo Lucio Speziali, and Professor Carmelo Giacovazzo for discussions about possible applications of the presented results in structural crystallography.
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spelling Analytical evaluation of atomic form factors: Application to Rayleigh scatteringSLATER-TYPE ORBITALSX-RAY-SCATTERINGELASTIC-SCATTERINGGAMMA-RAYSLAGUERRE-POLYNOMIALSSCREENING CONSTANTSCOHERENT SCATTERINGMOMENTUM-TRANSFERCROSS-SECTIONSSCF FUNCTIONSThe research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no [291734]. F.F. acknowledges support by Fundacao de Amparo a Pesquisa do estado de Minas Gerais (FAPEMIG), by Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), and by the Austrian Science Fund (FWF) through the START Grant No. Y 591-N16. F.F. acknowledges hospitality of the Neel institute in Grenoble (France), where part of the work has been carried out. L.S., K.J., and F.F. acknowledge support by the Research Council for Natural Sciences and Engineering of the Academy of Finland. P.A. acknowledges the support of the German Research Foundation (DFG) within the Emmy Noether program under Contract No. TA 740 1-1 and FCT, under Contract No. SFRH/BPD/92329/2013. J.P.S. and P.A. acknowledge support by Fundacao para a Ciencia e a Tecnologia (FCT) in Portugal, through the Project Nos. PEstOE/FIS/UI0303/2011 and PTDC/FIS/117606/2010. All authors gladly thank Professor Paul Indelicato, Professor Nivaldo Lucio Speziali, and Professor Carmelo Giacovazzo for discussions about possible applications of the presented results in structural crystallography.Atomic form factors are widely used for the characterization of targets and specimens, from crystallography to biology. By using recent mathematical results, here we derive an analytical expression for the atomic form factor within the independent particle model constructed from nonrelativistic screened hydrogenic wave functions. The range of validity of this analytical expression is checked by comparing the analytically obtained form factors with the ones obtained within the Hartee-Fock method. As an example, we apply our analytical expression for the atomic form factor to evaluate the differential cross section for Rayleigh scattering off neutral atoms. (C) 2015 AIP Publishing LLC.LIBPhys-UNLDF – Departamento de FísicaRUNSafari, L.Santos, J. P.Amaro, P.Jankala, K.Fratini, F.2018-05-08T22:03:58Z2015-052015-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.1063/1.4921227eng0022-2488PURE: 1420627http://www.scopus.com/record/display.uri?eid=2-s2.0-84930226081&origin=resultslist&sort=plf-f&src=s&st1https://doi.org/10.1063/1.4921227info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:19:37Zoai:run.unl.pt:10362/36224Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:30:24.900874Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Analytical evaluation of atomic form factors: Application to Rayleigh scattering
title Analytical evaluation of atomic form factors: Application to Rayleigh scattering
spellingShingle Analytical evaluation of atomic form factors: Application to Rayleigh scattering
Safari, L.
SLATER-TYPE ORBITALS
X-RAY-SCATTERING
ELASTIC-SCATTERING
GAMMA-RAYS
LAGUERRE-POLYNOMIALS
SCREENING CONSTANTS
COHERENT SCATTERING
MOMENTUM-TRANSFER
CROSS-SECTIONS
SCF FUNCTIONS
title_short Analytical evaluation of atomic form factors: Application to Rayleigh scattering
title_full Analytical evaluation of atomic form factors: Application to Rayleigh scattering
title_fullStr Analytical evaluation of atomic form factors: Application to Rayleigh scattering
title_full_unstemmed Analytical evaluation of atomic form factors: Application to Rayleigh scattering
title_sort Analytical evaluation of atomic form factors: Application to Rayleigh scattering
author Safari, L.
author_facet Safari, L.
Santos, J. P.
Amaro, P.
Jankala, K.
Fratini, F.
author_role author
author2 Santos, J. P.
Amaro, P.
Jankala, K.
Fratini, F.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv LIBPhys-UNL
DF – Departamento de Física
RUN
dc.contributor.author.fl_str_mv Safari, L.
Santos, J. P.
Amaro, P.
Jankala, K.
Fratini, F.
dc.subject.por.fl_str_mv SLATER-TYPE ORBITALS
X-RAY-SCATTERING
ELASTIC-SCATTERING
GAMMA-RAYS
LAGUERRE-POLYNOMIALS
SCREENING CONSTANTS
COHERENT SCATTERING
MOMENTUM-TRANSFER
CROSS-SECTIONS
SCF FUNCTIONS
topic SLATER-TYPE ORBITALS
X-RAY-SCATTERING
ELASTIC-SCATTERING
GAMMA-RAYS
LAGUERRE-POLYNOMIALS
SCREENING CONSTANTS
COHERENT SCATTERING
MOMENTUM-TRANSFER
CROSS-SECTIONS
SCF FUNCTIONS
description The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no [291734]. F.F. acknowledges support by Fundacao de Amparo a Pesquisa do estado de Minas Gerais (FAPEMIG), by Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), and by the Austrian Science Fund (FWF) through the START Grant No. Y 591-N16. F.F. acknowledges hospitality of the Neel institute in Grenoble (France), where part of the work has been carried out. L.S., K.J., and F.F. acknowledge support by the Research Council for Natural Sciences and Engineering of the Academy of Finland. P.A. acknowledges the support of the German Research Foundation (DFG) within the Emmy Noether program under Contract No. TA 740 1-1 and FCT, under Contract No. SFRH/BPD/92329/2013. J.P.S. and P.A. acknowledge support by Fundacao para a Ciencia e a Tecnologia (FCT) in Portugal, through the Project Nos. PEstOE/FIS/UI0303/2011 and PTDC/FIS/117606/2010. All authors gladly thank Professor Paul Indelicato, Professor Nivaldo Lucio Speziali, and Professor Carmelo Giacovazzo for discussions about possible applications of the presented results in structural crystallography.
publishDate 2015
dc.date.none.fl_str_mv 2015-05
2015-05-01T00:00:00Z
2018-05-08T22:03:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1063/1.4921227
url https://doi.org/10.1063/1.4921227
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-2488
PURE: 1420627
http://www.scopus.com/record/display.uri?eid=2-s2.0-84930226081&origin=resultslist&sort=plf-f&src=s&st1
https://doi.org/10.1063/1.4921227
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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