Aufbau principle and singlet-triplet gap in spherical Hooke atoms
dc.contributor.author | Telleria Allika, Xabier | |
dc.contributor.author | Ugalde Uribe-Etxebarria, Jesús | |
dc.contributor.author | Matito, Eduard | |
dc.contributor.author | Ramos Cordoba, Eloy | |
dc.contributor.author | Rodríguez Mayorga, Mauricio | |
dc.contributor.author | López de Pariza Sanz, Xabier | |
dc.date.accessioned | 2023-02-14T16:39:53Z | |
dc.date.available | 2023-02-14T16:39:53Z | |
dc.date.issued | 2023-02 | |
dc.identifier.citation | International Journal of Quantum Chemistry 123(3) : (2023) // Article ID e27019 | es_ES |
dc.identifier.issn | 0020-7608 | |
dc.identifier.issn | 1097-461X | |
dc.identifier.uri | http://hdl.handle.net/10810/59835 | |
dc.description.abstract | Singlet and triplet spin state energies for three-dimensional Hooke atoms, that is, electrons in a quadratic confinement, with even number of electrons (2, 4, 6, 8, 10) is discussed using Full-CI and CASSCF type wavefunctions with a variety of basis sets and considering perturbative corrections up to second order. The effect of the screening of the electron–electron interaction is also discussed by using a Yukawa-type potential with different values of the Yukawa screening parameter (λee = 0.2, 0.4, 0.6, 0.8, 1.0). Our results show that the singlet state is the ground state for two and eight electron Hooke atoms, whereas the triplet is the ground spin state for 4-, 6-, and 10-electron systems. This suggests the following Aufbau structure 1s < 1p < 1d with singlet ground spin states for systems in which the generation of the triplet implies an inter-shell one-electron promotion, and triplet ground states in cases when there is a partial filling of electrons of a given shell. It is also observed that the screening of electron–electron interactions has a sizable quantitative effect on the relative energies of both spin states, specially in the case of two- and eight-electron systems, favoring the singlet state over the triplet. However, the screening of the electron–electron interaction does not provoke a change in the nature of the ground spin state of these systems. By analyzing the different components of the energy, we have gained a deeper understanding of the effects of the kinetic, confinement and electron–electron interaction components of the energy. | es_ES |
dc.description.sponsorship | This research was funded by Eusko Jaurlaritza (the Basque Government), through Consolidated Group Project No. IT1584-22, PIBA19-0004, and 2019-CIEN-000092-01, and the Spanish MINECO/FEDER Projects No. PGC2018-097529-B-100, PGC2018-098212-B-C21, EUIN2017-88605, and EUR2019-103825. Eloy Ramos-Cordoba acknowledges funding from the Juan de la Cierva program IJCI-2017-34658. Technical and human support provided by IZO-SGI, SGIker (UPV/EHU, MICINN, GV/EJ, ERDF, and ESF) is gratefully acknowledged. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Wiley | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/IJCI-2017-34658 | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICIU/PGC2018-098212-B-C21 | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICIU/PGC2018-097529-B-100 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | electron correlation | es_ES |
dc.subject | Hooke atoms | es_ES |
dc.subject | optimized Gaussian basis functions | es_ES |
dc.subject | Yukawa screening potential | es_ES |
dc.title | Aufbau principle and singlet-triplet gap in spherical Hooke atoms | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | © 2022 The Authors. International Journal of Quantum Chemistry published by Wiley Periodicals LLC. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. | es_ES |
dc.rights.holder | Atribución 3.0 España | * |
dc.relation.publisherversion | https://onlinelibrary.wiley.com/doi/10.1002/qua.27019 | es_ES |
dc.identifier.doi | 10.1002/qua.27019 | |
dc.departamentoes | Polímeros y Materiales Avanzados: Física, Química y Tecnología | es_ES |
dc.departamentoeu | Polimero eta Material Aurreratuak: Fisika, Kimika eta Teknologia | es_ES |
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This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.