A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum

Detalhes bibliográficos
Autor(a) principal: Oliveira-Neto, N. M.
Data de Publicação: 2006
Outros Autores: Souza, J. de, Ribeiro-Silva, C. I.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: http://dx.doi.org/10.1140/epjd/e2006-00155-6
http://www.locus.ufv.br/handle/123456789/22167
Resumo: We propose a method, based on a generalized Heisenberg algebra (GHA), to reproduce the anharmonic spectrum of diatomic molecules. The theoretical spectrum generated by GHA allows us to fit the experimental data and to obtain the dissociation energy for the carbon monoxide molecule. Our outcomes are more accurate than the standard models used to study molecular vibrations, namely the Morse and the q-oscillator models and comparable to the perturbed Morse model proposed by Huffaker [CITE], for the first experimental levels. The dissociation energy obtained here is more accurate than all previous models.
id UFV_976dc3fbce8a110657a5f66ba712a2ff
oai_identifier_str oai:locus.ufv.br:123456789/22167
network_acronym_str UFV
network_name_str LOCUS Repositório Institucional da UFV
repository_id_str 2145
spelling Oliveira-Neto, N. M.Souza, J. deRibeiro-Silva, C. I.2018-10-05T12:01:51Z2018-10-05T12:01:51Z2006-06-3014346079http://dx.doi.org/10.1140/epjd/e2006-00155-6http://www.locus.ufv.br/handle/123456789/22167We propose a method, based on a generalized Heisenberg algebra (GHA), to reproduce the anharmonic spectrum of diatomic molecules. The theoretical spectrum generated by GHA allows us to fit the experimental data and to obtain the dissociation energy for the carbon monoxide molecule. Our outcomes are more accurate than the standard models used to study molecular vibrations, namely the Morse and the q-oscillator models and comparable to the perturbed Morse model proposed by Huffaker [CITE], for the first experimental levels. The dissociation energy obtained here is more accurate than all previous models.engThe European Physical Journal D - Atomic, Molecular, Optical and Plasma Physicsv. 40, n. 02, p. 205- 210, nov. 2006Springer Nature Switzerland AG.info:eu-repo/semantics/openAccessHeisenberg algebraMolecular vibrational spectrumA method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectruminfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdftexto completoapplication/pdf207179https://locus.ufv.br//bitstream/123456789/22167/1/artigo.pdfc2d4de1c29e79229e82acd4d3f88bb1dMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/22167/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52123456789/221672018-10-05 09:04:15.573oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-10-05T12:04:15LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
title A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
spellingShingle A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
Oliveira-Neto, N. M.
Heisenberg algebra
Molecular vibrational spectrum
title_short A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
title_full A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
title_fullStr A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
title_full_unstemmed A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
title_sort A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
author Oliveira-Neto, N. M.
author_facet Oliveira-Neto, N. M.
Souza, J. de
Ribeiro-Silva, C. I.
author_role author
author2 Souza, J. de
Ribeiro-Silva, C. I.
author2_role author
author
dc.contributor.author.fl_str_mv Oliveira-Neto, N. M.
Souza, J. de
Ribeiro-Silva, C. I.
dc.subject.pt-BR.fl_str_mv Heisenberg algebra
Molecular vibrational spectrum
topic Heisenberg algebra
Molecular vibrational spectrum
description We propose a method, based on a generalized Heisenberg algebra (GHA), to reproduce the anharmonic spectrum of diatomic molecules. The theoretical spectrum generated by GHA allows us to fit the experimental data and to obtain the dissociation energy for the carbon monoxide molecule. Our outcomes are more accurate than the standard models used to study molecular vibrations, namely the Morse and the q-oscillator models and comparable to the perturbed Morse model proposed by Huffaker [CITE], for the first experimental levels. The dissociation energy obtained here is more accurate than all previous models.
publishDate 2006
dc.date.issued.fl_str_mv 2006-06-30
dc.date.accessioned.fl_str_mv 2018-10-05T12:01:51Z
dc.date.available.fl_str_mv 2018-10-05T12:01:51Z
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 http://dx.doi.org/10.1140/epjd/e2006-00155-6
http://www.locus.ufv.br/handle/123456789/22167
dc.identifier.issn.none.fl_str_mv 14346079
identifier_str_mv 14346079
url http://dx.doi.org/10.1140/epjd/e2006-00155-6
http://www.locus.ufv.br/handle/123456789/22167
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv v. 40, n. 02, p. 205- 210, nov. 2006
dc.rights.driver.fl_str_mv Springer Nature Switzerland AG.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Springer Nature Switzerland AG.
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics
publisher.none.fl_str_mv The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str LOCUS Repositório Institucional da UFV
collection LOCUS Repositório Institucional da UFV
bitstream.url.fl_str_mv https://locus.ufv.br//bitstream/123456789/22167/1/artigo.pdf
https://locus.ufv.br//bitstream/123456789/22167/2/license.txt
bitstream.checksum.fl_str_mv c2d4de1c29e79229e82acd4d3f88bb1d
8a4605be74aa9ea9d79846c1fba20a33
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv fabiojreis@ufv.br
_version_ 1798053210520289280

Registros relacionados