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...
Autor principal: | |
---|---|
Otros Autores: | , , |
Formato: | Capítulo de libro |
Lenguaje: | Inglés |
Publicado: |
2005
|
Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
Aporte de: | Registro referencial: Solicitar el recurso aquí |
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. |
---|---|
Bibliografía: | Epstein, S.T., (1974) The Variation Method in Quantum Chemistry, , Academic Press New York Condon, E.U., (1937) Rev. Mod. Phys., 9, p. 432 Lazzeretti, P., (1987) Adv. Chem. Phys., 75, p. 507 Lazzeretti, P., Electric and magnetic properties of molecules (2003) Handbook of Molecular Physics and Quantum Chemistry, 3, pp. 53-145. , S. Wilson John Wiley & Sons, Ltd. Chichester Lazzeretti, P., Zanasi, R., (1985) Phys. Rev. a, 32, p. 2607 Hirschfelder, J.O., Byers-Brown, W., Epstein, S.T., (1964) Adv. Quantum Chem., 1, p. 255 Soncini, A., Lazzeretti, P., Bakken, V., Helgaker, T., (2004) J. Chem. Phys., 120, p. 3142 Lipiński, J., (2004) Chem. Phys. Lett., 394, p. 397 Pagola, G.I., Caputo, M.C., Ferraro, M.B., Lazzeretti, P., (2004) J. Chem. Phys., 120, p. 9556 Pagola, G.I., Caputo, M.C., Ferraro, M.B., Lazzeretti, P., (2004) Chem. Phys. Lett., 400, p. 133 Pagola, G.I., Caputo, M.C., Ferraro, M.B., Lazzeretti, P., (2005) J. Chem. Phys., 122, p. 074318 Žaucer, M.T., Ažman, A., (1977) Phys. Rev. a, 16, p. 475 Soncini, A., Fowler, P.W., (2004) Chem. Phys. Lett., 400, p. 213 Caputo, M.C., Lazzeretti, P., (2002) J. Chem. Phys., 116, p. 9611 Caputo, M.C., Lazzeretti, P., (2003) Chem. Phys., 288, p. 281 Helgaker, T., (2001) Dalton, An Electronic Structure Program, Release 1.2, , Dalton Dunning Jr., T.H., (1989) J. Chem. Phys., 90, p. 1007 Woon, D.E., Dunning Jr., T.H., (1995) J. Chem. Phys., 103, p. 4572 Mohr, P.J., Taylor, B.N., (2000) Rev. Mod. Phys., 72, p. 351 |
ISSN: | 00092614 |
DOI: | 10.1016/j.cplett.2005.04.055 |