Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

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.

Registro:

Documento: Artículo
Título:Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
Autor:Pagola, G.I.; Caputo, M.C.; Ferraro, M.B.; Lazzeretti, P.
Filiación:Departamento de FIÍsica, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, (1428) Buenos Aires, Argentina
Dipartimento di Chimica dell'Università degli Studi di Modena e Reggio, Emilia, Via Campi 183, 41100 Modena, Italy
Palabras clave:Calculations; Eigenvalues and eigenfunctions; Gages; Magnetic fields; Mathematical models; Polarization; Quantum theory; Tensors; Energy invariant; Gauge translation; Hypermagnetisability; Sum rules; Molecules
Año:2005
Volumen:408
Número:4-6
Página de inicio:403
Página de fin:408
DOI: http://dx.doi.org/10.1016/j.cplett.2005.04.055
Título revista:Chemical Physics Letters
Título revista abreviado:Chem. Phys. Lett.
ISSN:00092614
CODEN:CHPLB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00092614_v408_n4-6_p403_Pagola

Referencias:

  • 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

Citas:

---------- APA ----------
Pagola, G.I., Caputo, M.C., Ferraro, M.B. & Lazzeretti, P. (2005) . Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation. Chemical Physics Letters, 408(4-6), 403-408.
http://dx.doi.org/10.1016/j.cplett.2005.04.055
---------- CHICAGO ----------
Pagola, G.I., Caputo, M.C., Ferraro, M.B., Lazzeretti, P. "Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation" . Chemical Physics Letters 408, no. 4-6 (2005) : 403-408.
http://dx.doi.org/10.1016/j.cplett.2005.04.055
---------- MLA ----------
Pagola, G.I., Caputo, M.C., Ferraro, M.B., Lazzeretti, P. "Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation" . Chemical Physics Letters, vol. 408, no. 4-6, 2005, pp. 403-408.
http://dx.doi.org/10.1016/j.cplett.2005.04.055
---------- VANCOUVER ----------
Pagola, G.I., Caputo, M.C., Ferraro, M.B., Lazzeretti, P. Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation. Chem. Phys. Lett. 2005;408(4-6):403-408.
http://dx.doi.org/10.1016/j.cplett.2005.04.055