Abstract:
An alternative approach for the calculation of the electron-positron (e-p) contribution to magnetic properties based on two-component Breit-Pauli spinors is presented. In it, the elimination of the small component scheme is applied to the inverse propagator matrix of e-p pairs. The effect of the positronic manifold is expressed as an operator acting on Breit-Pauli spinors. The operator form thus obtained sums up the relativistic correction as a geometric series and as a result a totally different behavior in the vicinity of a nucleus is obtained as compared to the one of the linear response approximation. This feature has deep influence in numerical values of the e-p contribution to the nuclear magnetic shielding of heavy atoms. Numerical calculations carried out for Kr, Xe, and I show that with this approach, the e-p contributions to this property are in good agreement with those of four-component methods. © 2009 American Institute of Physics.
Registro:
Documento: |
Artículo
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Título: | Relativistic two-component geometric approximation of the electron-positron contribution to magnetic properties in terms of Breit-Pauli spinors |
Autor: | Zaccari, D.; Melo, J.I.; Ruiz De Azúa, M.C.; Giribet, C.G. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas, Fisicoquímicas y Naturales, Universidad Nacional de Río Cuarto, Ruta 36, km 601, 5800 Río Cuarto, Córdoba, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Pab. I, 1428 Buenos Aires, Argentina CONICET, Argentina
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Palabras clave: | Alternative approaches; Component methods; Geometric approximations; Heavy atoms; Linear response approximations; Nuclear magnetic shielding; Numerical calculations; Numerical values; Propagator matrixes; Relativistic corrections; Small components; Spinors; Two components; Krypton; Magnetic properties; Magnetic shielding; Mathematical operators; Numerical methods; Positrons; Xenon; Electrons |
Año: | 2009
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Volumen: | 130
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Número: | 8
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DOI: |
http://dx.doi.org/10.1063/1.3063639 |
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_v130_n8_p_Zaccari.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v130_n8_p_Zaccari |
Referencias:
- (2004) Calculation of NMR and EPR Parameters: Theory and Applications, , See, e.g., edited by M. Kaupp, M. Bühl, and V. G. Malkin (Wiley-VCH, Weinheim)
- Casabianca, L.B., De Dios, A.C., (2008) J. Chem. Phys., 128, p. 052201. , 0021-9606 10.1063/1.2816784
- Visscher, L., Enevoldsen, T., Saue, T., Jensen, H.J.Aa., Oddershede, J., (1999) J. Comput. Chem., 20, p. 1262
- Vaara, J., Pyykkö, P., (2003) J. Chem. Phys., 118, p. 2973. , 0021-9606 10.1063/1.1545718
- Visscher, L., (2005) Adv. Quantum Chem., 48, p. 369. , 0065-3276 10.1016/S0065-3276(05)48019-3
- Melo, J.I., Ruiz De Azúa, M.C., Giribet, C.G., Aucar, G.A., Romero, R.H., (2003) J. Chem. Phys., 118, p. 471. , 0021-9606 10.1063/1.1525808
- Melo, J.I., Ruiz De Azúa, M.C., Giribet, C.G., Aucar, G.A., Provasi, P.F., (2004) J. Chem. Phys., 121, p. 6798. , 0021-9606 10.1063/1.1787495
- Manninen, P., Lantto, P., Vaara, J., Ruud, K., (2003) J. Chem. Phys., 119, p. 2623. , 0021-9606 10.1063/1.1586912
- Manninen, P., Ruud, K., Lantto, P., Vaara, J., Manninen, P., Ruud, K., Lantto, P., Vaara, J., (2005) J. Chem. Phys., 122, p. 114107. , 0021-9606 10.1063/1.1861872, ();, J. Chem. Phys. 0021-9606 10.1063/1.2181967 124, 149901 (2006)
- Wolff, S.K., Ziegler, T., Van Lenthe, E., Baerends, E.J., (1999) J. Chem. Phys., 110, p. 7689. , 0021-9606 10.1063/1.478680
- Autschbach, J., Ziegler, T., (2000) J. Chem. Phys., 113, p. 936. , 0021-9606 10.1063/1.481874
- Autschbach, J., Ziegler, T., (2000) J. Chem. Phys., 113, p. 9410. , 0021-9606 10.1063/1.1321310
- Fukuda, R., Hada, M., Nakatsuji, H., (2003) J. Chem. Phys., 118, p. 1015. , 0021-9606 10.1063/1.1528933
- Fukuda, R., Hada, M., Nakatsuji, H., (2003) J. Chem. Phys., 118, p. 1027. , 0021-9606 10.1063/1.1528934
- Kudo, K., Fukui, H., Kudo, K., Fukui, H., (2005) J. Chem. Phys., 123, p. 114102. , 0021-9606 10.1063/1.2032408, ();, J. Chem. Phys. 0021-9606 10.1063/1.2199527 124, 209901 (2006)
- Kutzelnigg, W., (1996) Phys. Rev. A, 54, p. 1183. , 1050-2947 10.1103/PhysRevA.54.1183
- Kutzelnigg, W., (2003) Phys. Rev. A, 67, p. 032109. , 1050-2947 10.1103/PhysRevA.67.032109
- Szmytkowski, R., (2002) Phys. Rev. A, 65, p. 032112. , 1050-2947 10.1103/PhysRevA.65.032112
- Xiao, Y., Peng, D., Liu, W., (2007) J. Chem. Phys., 126, p. 081101. , 0021-9606 10.1063/1.2565724
- Xiao, Y., Liu, W., Chang, L., Peng, D., (2007) J. Chem. Phys., 126, p. 214101. , 0021-9606 10.1063/1.2736702
- Kutzelnigg, W., Liu, W., (2005) J. Chem. Phys., 123, p. 241102. , 0021-9606 10.1063/1.2137315
- Liu, W., Peng, D., (2006) J. Chem. Phys., 125, p. 044102. , 0021-9606 10.1063/1.2222365
- Barysz, M., Sadlej, A.J., (2002) J. Chem. Phys., 116, p. 2696. , 0021-9606 10.1063/1.1436462
- Maeda, H., Ootani, Y., Fukui, H., (2007) J. Chem. Phys., 126, p. 174102. , 0021-9606 10.1063/1.2733650
- Ootani, Y., Maeda, H., Fukui, H., (2007) J. Chem. Phys., 127, p. 084117. , 0021-9606 10.1063/1.2759199
- Maeda, H., Ootani, Y., Fukui, H., (2008) J. Chem. Phys., 128, p. 129903. , 0021-9606 10.1063/1.2836431
- Reiher, M., Wolf, A., (2004) J. Chem. Phys., 121, p. 2037. , 0021-9606 10.1063/1.1768160
- Wolf, A., Reiher, M., (2006) J. Chem. Phys., 124, p. 064102. , 0021-9606 10.1063/1.2161179
- Wolf, A., Reiher, M., (2006) J. Chem. Phys., 124, p. 064103. , 0021-9606 10.1063/1.2161180
- Melo, J.I., Ruiz De Azúa, M.C., Peralta, J.E., Scuseria, G.E., (2005) J. Chem. Phys., 123, p. 204112. , 0021-9606 10.1063/1.2133730
- Hanni, M., Lantto, P., Ilias, M., Jensen, H.J.Aa., Vaara, J., (2007) J. Chem. Phys., 127, p. 164313. , 0021-9606 10.1063/1.2777143
- Straka, M., Lantto, P., Räsänen, M., Vaara, J., (2007) J. Chem. Phys., 127, p. 234314. , 0021-9606 10.1063/1.2805389
- Lantto, P., Vaara, J., (2007) J. Chem. Phys., 127, p. 084312. , 0021-9606 10.1063/1.2759205
- Sternheim, M.M., (1962) Phys. Rev., 128, p. 676
- Aucar, G.A., Oddershede, J., (1993) Int. J. Quantum Chem., 47, p. 425. , 0020-7608 10.1002/qua.560470603
- Fukui, H., Baba, T., Inomata, H., (1996) J. Chem. Phys., 105, p. 3175. , 0021-9606 10.1063/1.472165
- Zaccari, D.G., Ruiz De Azúa, M.C., Melo, J.I., Giribet, C.G., (2006) J. Chem. Phys., 124, p. 054103. , 0021-9606 10.1063/1.2162541
- Moss, R.E., (1973) Advanced Molecular Quantum Mechanics, , (Chapman and Hall, London)
- Cohen-Tannoudji, C., Dupont-Roc, J., Grynberg, G., (1997) Photons and Atoms, , (Wiley, New York)
- Gross, F., (1993) Relativistic Quantum Mechanics and Field Theory, , (Wiley, New York)
- Aucar, G.A., Saue, T., Visscher, L., Jensen, H.J.Aa., (1999) J. Chem. Phys., 110, p. 6208. , 0021-9606 10.1063/1.479181
- Roura, P.G., Melo, J.I., Ruiz De Azua, M.C., Giribet, C.G., (2006) J. Chem. Phys., 125, p. 064107. , 0021-9606 10.1063/1.2244572
- Gómez, S.S., Melo, J.I., Romero, R.H., Aucar, G.A., Ruiz De Azúa, M.C., (2005) J. Chem. Phys., 122, p. 064103. , 0021-9606 10.1063/1.1845391
- Helgaker, T., Aa. Jensen, H.J., Joergensen, P., Olsen, J., Ruud, K., Aagren, H., Auer, A.A., Vahtras, O., (2001), DALTON, a molecular electronic structure program, Release 1.2; Lazzeretti, P., (1979) J. Chem. Phys., 71, p. 2514. , 0021-9606 10.1063/1.438660
- http://folk.uio.no/knutf/bases/one, See for Faegri's basis sets used in the calculation; Dunning Jr., T.H., (1989) J. Chem. Phys., 90, p. 1007. , 0021-9606 10.1063/1.456153
- Visscher, L., Dyall, K.G., (1996) J. Chem. Phys., 104, p. 9040. , 0021-9606 10.1063/1.471636
- Visscher, L., Styszyski, J., Nieuwpoort, W.C., (1996) J. Chem. Phys., 105, p. 1987. , 0021-9606 10.1063/1.472066
- Ruiz De Azua, M.C., Melo, J.I., Giribet, C.G., (2003) Mol. Phys., 101, p. 3103. , 0026-8976 10.1080/00268970310001617784
- Ishikawa, Y., Nakajima, T., Hada, M., Nakatsuji, H., (1998) Chem. Phys. Lett., 283, p. 119. , 0009-2614 10.1016/S0009-2614(97)01307-9
- Kolb, D., Johnson, W.R., Shorer, P., (1982) Phys. Rev. A, 26, p. 19. , 1050-2947 10.1103/PhysRevA.26.19
Citas:
---------- APA ----------
Zaccari, D., Melo, J.I., Ruiz De Azúa, M.C. & Giribet, C.G.
(2009)
. Relativistic two-component geometric approximation of the electron-positron contribution to magnetic properties in terms of Breit-Pauli spinors. Journal of Chemical Physics, 130(8).
http://dx.doi.org/10.1063/1.3063639---------- CHICAGO ----------
Zaccari, D., Melo, J.I., Ruiz De Azúa, M.C., Giribet, C.G.
"Relativistic two-component geometric approximation of the electron-positron contribution to magnetic properties in terms of Breit-Pauli spinors"
. Journal of Chemical Physics 130, no. 8
(2009).
http://dx.doi.org/10.1063/1.3063639---------- MLA ----------
Zaccari, D., Melo, J.I., Ruiz De Azúa, M.C., Giribet, C.G.
"Relativistic two-component geometric approximation of the electron-positron contribution to magnetic properties in terms of Breit-Pauli spinors"
. Journal of Chemical Physics, vol. 130, no. 8, 2009.
http://dx.doi.org/10.1063/1.3063639---------- VANCOUVER ----------
Zaccari, D., Melo, J.I., Ruiz De Azúa, M.C., Giribet, C.G. Relativistic two-component geometric approximation of the electron-positron contribution to magnetic properties in terms of Breit-Pauli spinors. J Chem Phys. 2009;130(8).
http://dx.doi.org/10.1063/1.3063639