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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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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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 |
_version_ |
1768542121699049472 |