Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation

Autores
Elicabe, Guillermo Enrique
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, an exact scattering model for a system of clusters of spherical particles, based on the Rayleigh-Gans approximation, has been parameterized in such a way that it can be solved in inverse form using Thikhonov Regularization to obtain the morphological parameters of the clusters. That is to say, the average number of particles per cluster, the size of the primary spherical units that form the cluster, and the Discrete Distance Distribution Function from which the z-average square radius of gyration of the system of clusters is obtained. The methodology is validated through a series of simulated and experimental examples of x-ray and light scattering that show that the proposed methodology works satisfactorily in unideal situations such as: presence of error in the measurements, presence of error in the model, and several types of unideallities present in the experimental cases.
Fil: Elicabe, Guillermo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata; Argentina
Materia
Scattering
Clusters
Inverse Problem
Rayleigh-Gans
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:11336/2051
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/2051
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximationElicabe, Guillermo EnriqueScatteringClustersInverse ProblemRayleigh-Ganshttps://purl.org/becyt/ford/2.5https://purl.org/becyt/ford/2https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this work, an exact scattering model for a system of clusters of spherical particles, based on the Rayleigh-Gans approximation, has been parameterized in such a way that it can be solved in inverse form using Thikhonov Regularization to obtain the morphological parameters of the clusters. That is to say, the average number of particles per cluster, the size of the primary spherical units that form the cluster, and the Discrete Distance Distribution Function from which the z-average square radius of gyration of the system of clusters is obtained. The methodology is validated through a series of simulated and experimental examples of x-ray and light scattering that show that the proposed methodology works satisfactorily in unideal situations such as: presence of error in the measurements, presence of error in the model, and several types of unideallities present in the experimental cases.Fil: Elicabe, Guillermo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata; ArgentinaElsevier2013-05-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/2051Elicabe, Guillermo Enrique; Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation; Elsevier; Journal Of Quantitative Spectroscopy And Radiative Transfer; 127; 25-5-2013; 183-1910022-4073enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jqsrt.2013.05.016info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:59:44Zoai:ri.conicet.gov.ar:11336/2051instacron: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:34982025-09-29 09:59:45.27CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
title Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
spellingShingle Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
Elicabe, Guillermo Enrique
Scattering
Clusters
Inverse Problem
Rayleigh-Gans
title_short Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
title_full Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
title_fullStr Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
title_full_unstemmed Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
title_sort Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation
dc.creator.none.fl_str_mv Elicabe, Guillermo Enrique
author Elicabe, Guillermo Enrique
author_facet Elicabe, Guillermo Enrique
author_role author
dc.subject.none.fl_str_mv Scattering
Clusters
Inverse Problem
Rayleigh-Gans
topic Scattering
Clusters
Inverse Problem
Rayleigh-Gans
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.5
https://purl.org/becyt/ford/2
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work, an exact scattering model for a system of clusters of spherical particles, based on the Rayleigh-Gans approximation, has been parameterized in such a way that it can be solved in inverse form using Thikhonov Regularization to obtain the morphological parameters of the clusters. That is to say, the average number of particles per cluster, the size of the primary spherical units that form the cluster, and the Discrete Distance Distribution Function from which the z-average square radius of gyration of the system of clusters is obtained. The methodology is validated through a series of simulated and experimental examples of x-ray and light scattering that show that the proposed methodology works satisfactorily in unideal situations such as: presence of error in the measurements, presence of error in the model, and several types of unideallities present in the experimental cases.
Fil: Elicabe, Guillermo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Mar del Plata. Instituto de Investigación en Ciencia y Tecnología de Materiales (i); Argentina. Universidad Nacional de Mar del Plata; Argentina
description In this work, an exact scattering model for a system of clusters of spherical particles, based on the Rayleigh-Gans approximation, has been parameterized in such a way that it can be solved in inverse form using Thikhonov Regularization to obtain the morphological parameters of the clusters. That is to say, the average number of particles per cluster, the size of the primary spherical units that form the cluster, and the Discrete Distance Distribution Function from which the z-average square radius of gyration of the system of clusters is obtained. The methodology is validated through a series of simulated and experimental examples of x-ray and light scattering that show that the proposed methodology works satisfactorily in unideal situations such as: presence of error in the measurements, presence of error in the model, and several types of unideallities present in the experimental cases.
publishDate 2013
dc.date.none.fl_str_mv 2013-05-25
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/11336/2051
Elicabe, Guillermo Enrique; Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation; Elsevier; Journal Of Quantitative Spectroscopy And Radiative Transfer; 127; 25-5-2013; 183-191
0022-4073
url http://hdl.handle.net/11336/2051
identifier_str_mv Elicabe, Guillermo Enrique; Scattering of clusters of spherical particles-Modeling and inverse problem solution in the Rayleigh-Gans approximation; Elsevier; Journal Of Quantitative Spectroscopy And Radiative Transfer; 127; 25-5-2013; 183-191
0022-4073
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jqsrt.2013.05.016
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
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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
_version_ 1844613770951786496
score 13.070432

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