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 knowledge of the properties and the applicability of domain-restricted matrices has provided important advances in the description of molecular electronic distributions. In this work, we perform a critical comparison between two different methods: the domain-averaged Fermi hole (DAFH) approach and the domain-restricted first-order reduced density matrix (DRRDM) one, focusing our study on both physical and mathematical points of view. Our results permit to show that both methods have a markedly different behavior at correlated wave function level: the DAFH approach provides information related with electron cloud localization and populations while the DRRDM is a true density matrix. To exemplify the theoretical discussion, we present a numerical test example and a simple analytical model that show such features. © 2010 Wiley Periodicals, Inc.

Registro:

Documento: Artículo
Título:Domain-averaged Fermi hole and domain-restricted reduced density matrices: A critical comparison
Autor:Alcoba, D.R.; Bochicchio, R.C.; Lain, L.; Torre, A.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad Del País Vasco, Apdo. 644, E-48080 Bilbao, Spain
Palabras clave:population analysis; reduced density matrices; Analytical model; Correlated wave functions; Density matrix; Electron clouds; Electronic distribution; Fermi holes; First-order; Numerical tests; Population analysis; Reduced-density matrix; True density; Mathematical models; Molecular electronics; Quantum theory; Matrix algebra
Año:2011
Volumen:111
Número:2
Página de inicio:256
Página de fin:262
DOI: http://dx.doi.org/10.1002/qua.22579
Título revista:International Journal of Quantum Chemistry
Título revista abreviado:Int J Quantum Chem
ISSN:00207608
CODEN:IJQCB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v111_n2_p256_Alcoba

Referencias:

  • Mulliken, R.S., (1955) J Chem Phys, 23, p. 1833
  • Mulliken, R.S., (1962) J Chem Phys, 36, p. 3428
  • Reed, A.E., Curtiss, L.A., Weinhold, F., (1988) Chem Rev, 88, p. 899. , references therein
  • Bochicchio, R.C., (1991) J Mol Struct Theochem, 228, p. 209
  • Bochicchio, R.C., (1991) J Mol Struct Theochem, 228, p. 227. , and references therein
  • Bochicchio, R.C., (1998) J Mol Struct Theochem, 429, p. 229. , references therein
  • Hirshfeld, F.L., (1977) Theor Chim Acta, 44, p. 129
  • Davidson, E.R., Chakravorty, S., (1992) Theor Chim Acta, 83, p. 319
  • Becke, A.D., (1988) J Chem Phys, 88, p. 2547
  • Salvador, P., Mayer, I., (2004) J Chem Phys, 120, p. 5046
  • Bader, R.F.W., (1994) Atoms in Molecules: A Quantum Theory, , Clarendon Press: Oxford
  • Becke, A.D., Edgecombe, K.E., (1990) J Chem Phys, 92, p. 5397
  • Poater, J., Duran, M., Sola, M., Silvi, B., (2005) Chem Rev, 105, p. 3911. , references therein
  • Davidson, E.R., (1976) Reduced Density Matrices in Quantum Chemistry, , Academic Press: New York
  • McWeeny, R., (1969) Methods of Molecular Quantum Mechanics, , Academic Press: London
  • Bochicchio, R., Ponec, R., Lain, L., Torre, A., (2000) J Phys Chem A, 104, p. 9130
  • Torre, A., Lain, L., Bochicchio, R., (2003) J Phys Chem A, 107, p. 127
  • Bochicchio, R.C., Lain, L., Torre, A., (2003) Chem Phys Lett, 374, p. 567
  • Bochicchio, R.C., Lain, L., Torre, A., (2003) Chem Phys Lett, 375, p. 45
  • Lain, L., Torre, A., Bochicchio, R., (2004) J Phys Chem A, 108, p. 4132
  • Torre, A., Alcoba, D.R., Lain, L., Bochicchio, R.C., (2005) J Phys Chem A, 109, p. 6587
  • Alcoba, D.R., Lain, L., Torre, A., Bochicchio, R.C., (2005) Chem Phys Lett, 407, p. 379
  • Alcoba, D.R., Bochicchio, R.C., Lain, L., Torre, A., (2006) Chem Phys Lett, 429, p. 286
  • Alcoba, D.R., Oña, O., Torre, A., Lain, L., Bochicchio, R.C., (2008) J Phys Chem A, 112, p. 10023
  • Salvador, P., Duran, M., Mayer, I., (2001) J Chem Phys, 115, p. 1153
  • Vyboishchikov, S.F., Salvador, P., (2006) Chem Phys Lett, 430, p. 204
  • Alcoba, D.R., Torre, A., Lain, L., Bochicchio, R.C., (2005) J Chem Phys, 122, p. 074102
  • Alcoba, D.R., Torre, A., Lain, L., Bochicchio, R.C., (2007) J Chem Phys, 127, p. 104110
  • Alcoba, D.R., Bochicchio, R.C., Lain, L., Torre, A., (2008) Prog Theor Chem Phys, 18, p. 203
  • Clark, A.E., Davidson, E.R., (2001) J Chem Phys, 115, p. 7382
  • Davidson, E.R., Clark, A.E., (2002) Mol Phys, 100, p. 373
  • Mayer, I., (2007) Chem Phys Lett, 440, p. 357
  • Podewitz, M., Herrmann, C., Malassa, A., Westerhausen, M., Reiher, M., (2008) Chem Phys Lett, 451, p. 301
  • Alcoba, D.R., Lain, L., Torre, A., Bochicchio, R.C., (2009) Chem Phys Lett, 470, p. 136
  • Cooper, D.L., Ponec, R., (2008) Phys Chem Chem Phys, 10, p. 1319
  • Ponec, R., Cooper, D.L., (2007) Faraday Discuss, 135, p. 31
  • Alcoba, D.R., Lain, L., Torre, A., Bochicchio, R.C., (2005) J Chem Phys, 123, p. 144113
  • Alcoba, D.R., Bochicchio, R.C., Torre, A., Lain, L., (2006) J Phys Chem A, 110, p. 9254
  • Alcoba, D.R., Bochicchio, R.C., Massacessi, G.E., Lain, L., Torre, A., (2007) Phys Rev A, 75, p. 012509
  • Alcoba, D.R., Torre, A., Bochicchio, R.C., Lain, L., (2007) Theor Chem Acc, 118, p. 827
  • Bochicchio, R.C., Torre, A., Lain, L., (2005) J Chem Phys, 122, p. 084117
  • Alcoba, D. R.,;, Bochicchio, R. C.,;, Lain, L.,;, Torre, A., 2008; e-print arXiv:0807.2425v1; Mazziotti, D.A., (1998) Chem Phys Lett, 289, p. 419
  • Mazziotti, D.A., (1998) Phys Rev A, 57, p. 4219
  • Mazziotti, D.A., (2000) Chem Phys Lett, 326, p. 212
  • (2007) Reduced-Density-Matrix Mechanisms with Applications to Many-Electron Atoms and Molecules, p. 134. , Mazziotti, D. A., Ed., Wiley: New York
  • Lain, L., Torre, A., Bochicchio, R.C., Ponec, R., (2001) Chem Phys Lett, 346, p. 283
  • Kutzelnigg, W., Mukherjee, D., (2002) J Chem Phys, 116, p. 4787
  • Lain, L., Torre, A., Bochicchio, R., (2002) J Chem Phys, 117, p. 5497
  • Buijse, M.A., (1991) Electron Correlation, , Centrale Huisdrukkerij Vrije Universiteit: Amsterdam
  • Alcoba, D.R., Bochicchio, R.C., Lain, L., Torre, A., (2007) Chem Phys Lett, 442, p. 157
  • Crawford, T.D., Sherrill, C.D., Valeev, E.F., Fermann, J.T., King, R.A., Leininger, M.L., Brown, S.T., Allen, W.D., (2007) J Comput Chem, 28, p. 1610
  • Johnson III, R.D., (2006) NIST Computational Chemistry Comparison and Benchmark Database, , NIST Standard Reference Database No. 101; National Institute of Standard and Technology
  • Cioslowski, J., (1990) Int J Quantum Chem, 24, p. 15
  • Alcoba, D.R., Lain, L., Torre, A., Bochicchio, R.C., (2006) J Comput Chem, 27, p. 596
  • Gallup, G.A., (2002) Valence Bond Methods. Theory and Applications, , Cambridge University Press: Cambridge
  • Papanikolaou, P., Karafiloglou, P., (2008) J Phys Chem A, 112, p. 8839
  • Ponec, R., Cooper, D.L., Savin, A., (2008) Chem Eur J, 14, p. 3338

Citas:

---------- APA ----------
Alcoba, D.R., Bochicchio, R.C., Lain, L. & Torre, A. (2011) . Domain-averaged Fermi hole and domain-restricted reduced density matrices: A critical comparison. International Journal of Quantum Chemistry, 111(2), 256-262.
http://dx.doi.org/10.1002/qua.22579
---------- CHICAGO ----------
Alcoba, D.R., Bochicchio, R.C., Lain, L., Torre, A. "Domain-averaged Fermi hole and domain-restricted reduced density matrices: A critical comparison" . International Journal of Quantum Chemistry 111, no. 2 (2011) : 256-262.
http://dx.doi.org/10.1002/qua.22579
---------- MLA ----------
Alcoba, D.R., Bochicchio, R.C., Lain, L., Torre, A. "Domain-averaged Fermi hole and domain-restricted reduced density matrices: A critical comparison" . International Journal of Quantum Chemistry, vol. 111, no. 2, 2011, pp. 256-262.
http://dx.doi.org/10.1002/qua.22579
---------- VANCOUVER ----------
Alcoba, D.R., Bochicchio, R.C., Lain, L., Torre, A. Domain-averaged Fermi hole and domain-restricted reduced density matrices: A critical comparison. Int J Quantum Chem. 2011;111(2):256-262.
http://dx.doi.org/10.1002/qua.22579