Abstract:
The linear response within the elimination of the small component formalism is aimed at obtaining the leading order relativistic corrections to magnetic molecular properties in the context of the elimination of the small component approximation. In the present work we extend the method in order to include two-body effects in the form of a mean field one-body operator. To this end we consider the four-component Dirac-Hartree-Fock operator as the starting point in the evaluation of the second order relativistic expression of magnetic properties. The approach thus obtained is the fully consistent leading order approximation of the random phase approximation four-component formalism. The mean field effect on the relativistic corrections to both the diamagnetic and paramagnetic terms of magnetic properties taking into account both the Coulomb and Breit two-body interactions is considered. © 2006 American Institute of Physics.
Registro:
Documento: |
Artículo
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Título: | Mean field linear response within the elimination of the small component formalism to evaluate relativistic effects on magnetic properties |
Autor: | Roura, P.G.; Melo, J.I.; De Ruiz Azúa, M.C.; Giribet, C.G. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina Collusión Nacional de Energía Atómica, Av. Gral Paz 1499, 1650 San Martín, Buenos Aires, Argentina
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Palabras clave: | Approximation theory; Diamagnetic materials; Magnetic properties; Mathematical operators; Paramagnetism; Dirac Hartree Fock operator; Mean field linear response; Relativistic corrections; Two body interactions; Molecular dynamics |
Año: | 2006
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Volumen: | 125
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Número: | 6
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DOI: |
http://dx.doi.org/10.1063/1.2244572 |
Título revista: | Journal of Chemical Physics
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Título revista abreviado: | J Chem Phys
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ISSN: | 00219606
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CODEN: | JCPSA
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PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00219606_v125_n6_p_Roura.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v125_n6_p_Roura |
Referencias:
- (2004) Calculation of NMR and EPR Parameters: Theory and Applications, , edited by M. Kaupp, M. Bühl, and V. G. Malkin (Wiley-VCH, Weinheim)
- Aucar, G.A., Oddershede, J., (1993) Int. J. Quantum Chem., 47, p. 425
- Aucar, G.A., Saue, T., Visscher, L., Jensen, H.J.Aa., (1999) J. Chem. Phys., 110, p. 13
- Visscher, L., Enevoldsen, T., Saue, T., Aa Jensen, H.J., Oddershede, J., (1999) J. Comput. Chem., 20, p. 1262
- Vaara, J., Pyykkö, P., (2003) J. Chem. Phys., 118, p. 2973
- Kutzelnigg, W., (1999) J. Comput. Chem., 20, p. 1199
- Kutzelnigg, W., (2003) Phys. Rev. A, 67, p. 32109
- Wolff, S.K., Ziegler, T., Van Lenthe, E., Baerends, E.J., (1999) J. Chem. Phys., 110, p. 7689
- Fukui, H., Baba, T., (2002) J. Chem. Phys., 117, p. 7836
- Baba, T., Fukui, H., (2002) Mol. Phys., 100, p. 623
- Fukuda, R., Hada, M., Nakatsuji, H., (2003) J. Chem. Phys., 118, p. 1015
- Fukuda, R., Hada, M., Nakatsuji, H., (2003) J. Chem. Phys., 118, p. 1027
- Fukui, H., Baba, T., Inomata, H., (1996) J. Chem. Phys., 105, p. 3175
- Fukui, H., Baba, T., Inomata, H., (1997) J. Chem. Phys., 106, p. 2987
- Manninen, P., Lantto, P., Vaara, J., Ruud, K., (2003) J. Chem. Phys., 119, p. 2623
- Manninen, P., Ruud, K., Lantto, P., Vaara, J., (2005) J. Chem. Phys., 122, p. 4107
- Manninen, P., Ruud, K., Lantto, P., Vaara, J., (2006) J. Chem. Phys., 124, p. 9901
- Melo, J.I., De Ruiz Azúa, M.C., Giribet, C.G., Aucar, G.A., Romero, R.H., (2003) J. Chem. Phys., 118, p. 471
- Melo, J.I., De Ruiz Azúa, M.C., Giribet, C.G., Aucar, G.A., Provasi, P.F., (2004) J. Chem. Phys., 121, p. 6798
- Zaccari, D.G., De Ruiz Azúa, M.C., Melo, J.I., Giribet, C.G., (2006) J. Chem. Phys., 124, p. 54103
- Heß, B.A., Marian, C.M., Wahlgren, U., Grospen, O., (1996) Chem. Phys. Lett., 251, p. 365
- Malkina, O.L., Schimmelpfenning, B., Kaupp, M., Hess, B.A., Chandra, P., Wahlgren, U., Malkin, V.G., (1998) Chem. Phys. Lett., 296, p. 93
- Bjorken, J.D., Drell, S.D., (1964) Relativistic Quantum Mechanics, , International Series in Pure and Applied Physics, edited by L. E. Schiff (McGraw-Hill, New York)
- Malli, G.L., (1984) J. Chem. Phys., 80, p. 2060
- Dyall, K.G., (2000) Lecture Notes: Introduction to Relativistic Quantum Chemistry, , II Instituto de Física Molecualr del MERCOSUR, Universidad Nacional del Nordeste, Corrientes, Argentina
- Moss, R.E., (1973) Advanced Molecular Quantum Mechanics, , Chapman and Hall, London
- De Ruiz Azúa, M.C., Melo, J.I., Giribet, C.G., (2003) Mol. Phys., 101, p. 3103
- Gómez, S.S., Melo, J.I., Romero, R.H., Aucar, G.A., De Ruiz Azúa, M.C., (2005) J. Chem. Phys., 122, p. 4103
Citas:
---------- APA ----------
Roura, P.G., Melo, J.I., De Ruiz Azúa, M.C. & Giribet, C.G.
(2006)
. Mean field linear response within the elimination of the small component formalism to evaluate relativistic effects on magnetic properties. Journal of Chemical Physics, 125(6).
http://dx.doi.org/10.1063/1.2244572---------- CHICAGO ----------
Roura, P.G., Melo, J.I., De Ruiz Azúa, M.C., Giribet, C.G.
"Mean field linear response within the elimination of the small component formalism to evaluate relativistic effects on magnetic properties"
. Journal of Chemical Physics 125, no. 6
(2006).
http://dx.doi.org/10.1063/1.2244572---------- MLA ----------
Roura, P.G., Melo, J.I., De Ruiz Azúa, M.C., Giribet, C.G.
"Mean field linear response within the elimination of the small component formalism to evaluate relativistic effects on magnetic properties"
. Journal of Chemical Physics, vol. 125, no. 6, 2006.
http://dx.doi.org/10.1063/1.2244572---------- VANCOUVER ----------
Roura, P.G., Melo, J.I., De Ruiz Azúa, M.C., Giribet, C.G. Mean field linear response within the elimination of the small component formalism to evaluate relativistic effects on magnetic properties. J Chem Phys. 2006;125(6).
http://dx.doi.org/10.1063/1.2244572