On the non‑integer number of particles in molecular system domains: treatment and description
- Autores
- Bochicchio, Roberto Carlos
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The energy of an atomic or molecular systemundergoing Coulomb interactions is well known atthe integer numbers of its neutral or ionic configurations.Nevertheless, the physical domains (atoms in molecules)inside the whole molecular system possess a non-integernumber of particles due to the electron exchange with itssurrounding. Hence, the dependence of the energy, thedensity matrix and their marginal distributions (reduceddensity matrices) with the number of particles becomea problem of fundamental importance in the descriptionof the electron distribution, its properties and transformations.In this work, we present a rigorous mathematical andphysical basis for the treatment of this problem within thegrand-canonical statistical distribution of few particles.In this context, the derivatives of the energy and the densityreferred as chemical descriptors (especially chemicalpotential and hardness) are analyzed in both cases, whenthe system is isolated and when it is subject to the interactionwith an environment. The ground state energy convexitydependence with the number of particles of these systemssimplifies the description.
Fil: Bochicchio, Roberto Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina - Materia
-
Grand-Canonical Ensemble
Electronic Structure
Density Matrix
Descriptors - 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:11336/44536
Ver los metadatos del registro completo
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On the non‑integer number of particles in molecular system domains: treatment and descriptionBochicchio, Roberto CarlosGrand-Canonical EnsembleElectronic StructureDensity MatrixDescriptorshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The energy of an atomic or molecular systemundergoing Coulomb interactions is well known atthe integer numbers of its neutral or ionic configurations.Nevertheless, the physical domains (atoms in molecules)inside the whole molecular system possess a non-integernumber of particles due to the electron exchange with itssurrounding. Hence, the dependence of the energy, thedensity matrix and their marginal distributions (reduceddensity matrices) with the number of particles becomea problem of fundamental importance in the descriptionof the electron distribution, its properties and transformations.In this work, we present a rigorous mathematical andphysical basis for the treatment of this problem within thegrand-canonical statistical distribution of few particles.In this context, the derivatives of the energy and the densityreferred as chemical descriptors (especially chemicalpotential and hardness) are analyzed in both cases, whenthe system is isolated and when it is subject to the interactionwith an environment. The ground state energy convexitydependence with the number of particles of these systemssimplifies the description.Fil: Bochicchio, Roberto Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaSpringer2015-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/44536Bochicchio, Roberto Carlos; On the non‑integer number of particles in molecular system domains: treatment and description; Springer; Theoretical Chemistry Accounts; 134; 12-20151432-881XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00214-015-1743-2info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00214-016-1945-2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:09:53Zoai:ri.conicet.gov.ar:11336/44536instacron: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 10:09:53.639CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
On the non‑integer number of particles in molecular system domains: treatment and description |
title |
On the non‑integer number of particles in molecular system domains: treatment and description |
spellingShingle |
On the non‑integer number of particles in molecular system domains: treatment and description Bochicchio, Roberto Carlos Grand-Canonical Ensemble Electronic Structure Density Matrix Descriptors |
title_short |
On the non‑integer number of particles in molecular system domains: treatment and description |
title_full |
On the non‑integer number of particles in molecular system domains: treatment and description |
title_fullStr |
On the non‑integer number of particles in molecular system domains: treatment and description |
title_full_unstemmed |
On the non‑integer number of particles in molecular system domains: treatment and description |
title_sort |
On the non‑integer number of particles in molecular system domains: treatment and description |
dc.creator.none.fl_str_mv |
Bochicchio, Roberto Carlos |
author |
Bochicchio, Roberto Carlos |
author_facet |
Bochicchio, Roberto Carlos |
author_role |
author |
dc.subject.none.fl_str_mv |
Grand-Canonical Ensemble Electronic Structure Density Matrix Descriptors |
topic |
Grand-Canonical Ensemble Electronic Structure Density Matrix Descriptors |
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 energy of an atomic or molecular systemundergoing Coulomb interactions is well known atthe integer numbers of its neutral or ionic configurations.Nevertheless, the physical domains (atoms in molecules)inside the whole molecular system possess a non-integernumber of particles due to the electron exchange with itssurrounding. Hence, the dependence of the energy, thedensity matrix and their marginal distributions (reduceddensity matrices) with the number of particles becomea problem of fundamental importance in the descriptionof the electron distribution, its properties and transformations.In this work, we present a rigorous mathematical andphysical basis for the treatment of this problem within thegrand-canonical statistical distribution of few particles.In this context, the derivatives of the energy and the densityreferred as chemical descriptors (especially chemicalpotential and hardness) are analyzed in both cases, whenthe system is isolated and when it is subject to the interactionwith an environment. The ground state energy convexitydependence with the number of particles of these systemssimplifies the description. Fil: Bochicchio, Roberto Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina |
description |
The energy of an atomic or molecular systemundergoing Coulomb interactions is well known atthe integer numbers of its neutral or ionic configurations.Nevertheless, the physical domains (atoms in molecules)inside the whole molecular system possess a non-integernumber of particles due to the electron exchange with itssurrounding. Hence, the dependence of the energy, thedensity matrix and their marginal distributions (reduceddensity matrices) with the number of particles becomea problem of fundamental importance in the descriptionof the electron distribution, its properties and transformations.In this work, we present a rigorous mathematical andphysical basis for the treatment of this problem within thegrand-canonical statistical distribution of few particles.In this context, the derivatives of the energy and the densityreferred as chemical descriptors (especially chemicalpotential and hardness) are analyzed in both cases, whenthe system is isolated and when it is subject to the interactionwith an environment. The ground state energy convexitydependence with the number of particles of these systemssimplifies the description. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-12 |
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/11336/44536 Bochicchio, Roberto Carlos; On the non‑integer number of particles in molecular system domains: treatment and description; Springer; Theoretical Chemistry Accounts; 134; 12-2015 1432-881X CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/44536 |
identifier_str_mv |
Bochicchio, Roberto Carlos; On the non‑integer number of particles in molecular system domains: treatment and description; Springer; Theoretical Chemistry Accounts; 134; 12-2015 1432-881X CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00214-015-1743-2 info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00214-016-1945-2 |
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 |
Springer |
publisher.none.fl_str_mv |
Springer |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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1844613982593220608 |
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13.070432 |