Dependence of the shielding tensor with a proposed local gauge

A theoretical procedure for evaluating nuclear magnetic shielding and magnetic susceptibility tensors in molecules within a 'local gauge' transformation is presented. The main features of our formulation are centred on the fact that, even though the expressions resulting from the use of th...

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Autores principales: Ferraro, Marta Beatriz, Caputo, María Cristina, Zitto, Miguel Eduardo
Publicado: 1998
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01661280_v433_n1-3_p27_Ferraro
http://hdl.handle.net/20.500.12110/paper_01661280_v433_n1-3_p27_Ferraro
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spelling paper:paper_01661280_v433_n1-3_p27_Ferraro2023-06-08T15:15:19Z Dependence of the shielding tensor with a proposed local gauge Ferraro, Marta Beatriz Caputo, María Cristina Zitto, Miguel Eduardo Gauge transformation Nuclear magnetic shielding A theoretical procedure for evaluating nuclear magnetic shielding and magnetic susceptibility tensors in molecules within a 'local gauge' transformation is presented. The main features of our formulation are centred on the fact that, even though the expressions resulting from the use of the Coulomb 'gauge' for the magnetic susceptibility tensor remain unchanged, it provides alternative expressions for the nuclear magnetic shielding tensor. This new result may be considered as an advantage because it allows a dependence of the nuclear magnetic shielding tensor on the electric field and gradient field exerted by the electrons on the position of the nuclei to be shown in an explicit manner. Sum rules for charge and current conservation and 'gauge' invariance are also derived. Finally we mention that all these results are only valid for external uniform and time independent magnetic fields. © 1998 Elsevier Science B.V. All rights reserved. Fil:Ferraro, M.B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Caputo, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Zitto, M.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01661280_v433_n1-3_p27_Ferraro http://hdl.handle.net/20.500.12110/paper_01661280_v433_n1-3_p27_Ferraro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Gauge transformation
Nuclear magnetic shielding
spellingShingle Gauge transformation
Nuclear magnetic shielding
Ferraro, Marta Beatriz
Caputo, María Cristina
Zitto, Miguel Eduardo
Dependence of the shielding tensor with a proposed local gauge
topic_facet Gauge transformation
Nuclear magnetic shielding
description A theoretical procedure for evaluating nuclear magnetic shielding and magnetic susceptibility tensors in molecules within a 'local gauge' transformation is presented. The main features of our formulation are centred on the fact that, even though the expressions resulting from the use of the Coulomb 'gauge' for the magnetic susceptibility tensor remain unchanged, it provides alternative expressions for the nuclear magnetic shielding tensor. This new result may be considered as an advantage because it allows a dependence of the nuclear magnetic shielding tensor on the electric field and gradient field exerted by the electrons on the position of the nuclei to be shown in an explicit manner. Sum rules for charge and current conservation and 'gauge' invariance are also derived. Finally we mention that all these results are only valid for external uniform and time independent magnetic fields. © 1998 Elsevier Science B.V. All rights reserved.
author Ferraro, Marta Beatriz
Caputo, María Cristina
Zitto, Miguel Eduardo
author_facet Ferraro, Marta Beatriz
Caputo, María Cristina
Zitto, Miguel Eduardo
author_sort Ferraro, Marta Beatriz
title Dependence of the shielding tensor with a proposed local gauge
title_short Dependence of the shielding tensor with a proposed local gauge
title_full Dependence of the shielding tensor with a proposed local gauge
title_fullStr Dependence of the shielding tensor with a proposed local gauge
title_full_unstemmed Dependence of the shielding tensor with a proposed local gauge
title_sort dependence of the shielding tensor with a proposed local gauge
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01661280_v433_n1-3_p27_Ferraro
http://hdl.handle.net/20.500.12110/paper_01661280_v433_n1-3_p27_Ferraro
work_keys_str_mv AT ferraromartabeatriz dependenceoftheshieldingtensorwithaproposedlocalgauge
AT caputomariacristina dependenceoftheshieldingtensorwithaproposedlocalgauge
AT zittomigueleduardo dependenceoftheshieldingtensorwithaproposedlocalgauge
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