Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation

The conditions for invariance in a gauge translation of the fourth-rank molecular hypermagnetisability tensor, introduced to rationalize the cubic response of a molecule in the presence of an external magnetic field, are discussed in terms of quantum mechanical sum rules. Eight relationships, connec...

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Detalles Bibliográficos
Autor principal: Pagola, G.I
Otros Autores: Caputo, M.C, Ferraro, Marta Beatriz, Lazzeretti, P.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2005
Acceso en línea:Registro en Scopus
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Sumario:The conditions for invariance in a gauge translation of the fourth-rank molecular hypermagnetisability tensor, introduced to rationalize the cubic response of a molecule in the presence of an external magnetic field, are discussed in terms of quantum mechanical sum rules. Eight relationships, connecting electric dipole polarisability, polarisability of magnetisability, and other third- and fourth-rank tensors that can be regarded as intrinsic molecular properties tout court, have been obtained. Numerical tests have been carried out to determine the Hartree-Fock limit for the sum-rules in a set of small molecules. © 2005 Elsevier B.V. All rights reserved.
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ISSN:00092614
DOI:10.1016/j.cplett.2005.04.055