A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory
- Autores
- Pis Diez, Reinaldo; Karasiev, Valentin V.
- Año de publicación
- 2003
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A relationship between the auxiliary density, ρ̃(r), defined within the framework of the weighted density approximation and the kinetic energy modulating factor, AN([ρ(r)];r), which appears in the local-scaling transformation version of density functional theory is presented. This relationship imposes the condition of positiveness on the kinetic energy modulating factor and this, in turn, leads to an important mathematical condition on any approximation kinetic energy density functional. It is shown that two well-known approximate kinetic energy functionals do not satisfy the above relationship at distances very close to the nucleus. By forcing a given approximate kinetic energy density functional to obey the above condition, both the kinetic and exchange energies can be obtained within a framework similar to that of the weighted density approximation. Results on some closed-shell atomic systems provide support for those ideas.
Fil: Pis Diez, Reinaldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Química Inorgánica "Dr. Pedro J. Aymonino". Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro de Química Inorgánica "Dr. Pedro J. Aymonino"; Argentina
Fil: Karasiev, Valentin V.. Instituto Venezolano de Investigaciones Científicas; Venezuela - Materia
-
AUXILIARY DENSITY
KINETIC ENERGY
FACTOR - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/181528
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A relationship between the weighted density approximation and the local-scaling transformation version of density functional theoryPis Diez, ReinaldoKarasiev, Valentin V.AUXILIARY DENSITYKINETIC ENERGYFACTORhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1A relationship between the auxiliary density, ρ̃(r), defined within the framework of the weighted density approximation and the kinetic energy modulating factor, AN([ρ(r)];r), which appears in the local-scaling transformation version of density functional theory is presented. This relationship imposes the condition of positiveness on the kinetic energy modulating factor and this, in turn, leads to an important mathematical condition on any approximation kinetic energy density functional. It is shown that two well-known approximate kinetic energy functionals do not satisfy the above relationship at distances very close to the nucleus. By forcing a given approximate kinetic energy density functional to obey the above condition, both the kinetic and exchange energies can be obtained within a framework similar to that of the weighted density approximation. Results on some closed-shell atomic systems provide support for those ideas.Fil: Pis Diez, Reinaldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Química Inorgánica "Dr. Pedro J. Aymonino". Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro de Química Inorgánica "Dr. Pedro J. Aymonino"; ArgentinaFil: Karasiev, Valentin V.. Instituto Venezolano de Investigaciones Científicas; VenezuelaIOP Publishing2003-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/181528Pis Diez, Reinaldo; Karasiev, Valentin V.; A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 36; 13; 6-2003; 2881-28900953-4075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0953-4075/36/13/317info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/36/13/317info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:57Zoai:ri.conicet.gov.ar:11336/181528instacron: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 09:36:57.349CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory |
title |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory |
spellingShingle |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory Pis Diez, Reinaldo AUXILIARY DENSITY KINETIC ENERGY FACTOR |
title_short |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory |
title_full |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory |
title_fullStr |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory |
title_full_unstemmed |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory |
title_sort |
A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory |
dc.creator.none.fl_str_mv |
Pis Diez, Reinaldo Karasiev, Valentin V. |
author |
Pis Diez, Reinaldo |
author_facet |
Pis Diez, Reinaldo Karasiev, Valentin V. |
author_role |
author |
author2 |
Karasiev, Valentin V. |
author2_role |
author |
dc.subject.none.fl_str_mv |
AUXILIARY DENSITY KINETIC ENERGY FACTOR |
topic |
AUXILIARY DENSITY KINETIC ENERGY FACTOR |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.4 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
A relationship between the auxiliary density, ρ̃(r), defined within the framework of the weighted density approximation and the kinetic energy modulating factor, AN([ρ(r)];r), which appears in the local-scaling transformation version of density functional theory is presented. This relationship imposes the condition of positiveness on the kinetic energy modulating factor and this, in turn, leads to an important mathematical condition on any approximation kinetic energy density functional. It is shown that two well-known approximate kinetic energy functionals do not satisfy the above relationship at distances very close to the nucleus. By forcing a given approximate kinetic energy density functional to obey the above condition, both the kinetic and exchange energies can be obtained within a framework similar to that of the weighted density approximation. Results on some closed-shell atomic systems provide support for those ideas. Fil: Pis Diez, Reinaldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Química Inorgánica "Dr. Pedro J. Aymonino". Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Centro de Química Inorgánica "Dr. Pedro J. Aymonino"; Argentina Fil: Karasiev, Valentin V.. Instituto Venezolano de Investigaciones Científicas; Venezuela |
description |
A relationship between the auxiliary density, ρ̃(r), defined within the framework of the weighted density approximation and the kinetic energy modulating factor, AN([ρ(r)];r), which appears in the local-scaling transformation version of density functional theory is presented. This relationship imposes the condition of positiveness on the kinetic energy modulating factor and this, in turn, leads to an important mathematical condition on any approximation kinetic energy density functional. It is shown that two well-known approximate kinetic energy functionals do not satisfy the above relationship at distances very close to the nucleus. By forcing a given approximate kinetic energy density functional to obey the above condition, both the kinetic and exchange energies can be obtained within a framework similar to that of the weighted density approximation. Results on some closed-shell atomic systems provide support for those ideas. |
publishDate |
2003 |
dc.date.none.fl_str_mv |
2003-06 |
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/11336/181528 Pis Diez, Reinaldo; Karasiev, Valentin V.; A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 36; 13; 6-2003; 2881-2890 0953-4075 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/181528 |
identifier_str_mv |
Pis Diez, Reinaldo; Karasiev, Valentin V.; A relationship between the weighted density approximation and the local-scaling transformation version of density functional theory; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 36; 13; 6-2003; 2881-2890 0953-4075 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0953-4075/36/13/317 info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-4075/36/13/317 |
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 |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
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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1844613161864396800 |
score |
13.070432 |