Artículo

El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

This work reports the formulation of Shannon entropy indices in terms of seniority numbers of the Slater determinants expanding an N-electron wave function. Numerical determinations of those indices prove that they provide a suitable quantitative procedure to evaluate compactness of wave functions and to describe their configurational structures. An analysis of the results, calculated for full configuration interaction wave functions in selected atomic and molecular systems, allows one to compare and to discuss the behavior of several types of molecular orbital basis sets in order to achieve more compact wave function expansions, and to study their multiconfigurational character. © 2015, Springer-Verlag Berlin Heidelberg.

Registro:

Documento: Artículo
Título:A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach
Autor:Lain, L.; Torre, A.; Alcoba, D.R.; Oña, O.B.; Massaccesi, G.E.
Filiación:Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644, Bilbao, 48080, Spain
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Instituto de Física de Buenos Aires, Consejo Nacional de Investigaciones Científicas y Técnicas, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, Universidad Nacional de la Plata, CCT La Plata, Consejo Nacional de Investigaciones Científicas y Técnicas, Diag. 113 y 64 (s/n), Sucursal 4, CC 16, La Plata, 1900, Argentina
Departamento de Ciencias Exactas, Ciclo Básico Común, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:Compactness of wave functions; Optimization of molecular orbital basis sets; Seniority number; Shannon entropy indices
Año:2015
Volumen:134
Número:7
DOI: http://dx.doi.org/10.1007/s00214-015-1688-5
Título revista:Theoretical Chemistry Accounts
Título revista abreviado:Theor. Chem. Acc.
ISSN:1432881X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1432881X_v134_n7_p_Lain

Referencias:

  • Shavitt, I., (1998) Mol Phys, 94, p. 3. , COI: 1:CAS:528:DyaK1cXjt12nsr8%3D
  • Sherrill, C.D., Schaefer, H.F., III, (1999) Adv Quantum Chem, 34, p. 143. , COI: 1:CAS:528:DyaK1MXisVWisrY%3D, and references therein
  • Bytautas, L., Ivanic, J., Ruedenberg, K., (2003) J Chem Phys, 119, p. 8217. , COI: 1:CAS:528:DC%2BD3sXotVKltLY%3D
  • Giesbertz, K.J.H., (2014) Chem Phys Lett, 591, p. 220. , COI: 1:CAS:528:DC%2BC2cXksV2qtg%3D%3D
  • Bytautas, L., Henderson, T.M., Jiménez-Hoyos, C.A., Ellis, J.K., Scuseria, G.E., (2011) J Chem Phys, 135, p. 044119
  • Alcoba, D.R., Torre, A., Lain, L., Massaccesi, G.E., Oña, O.B., (2013) J Chem Phys, 139, p. 084103
  • Stein, T., Henderson, T.M., Scuseria, G.E., (2014) J Chem Phys, 140, p. 214113
  • Boguslawski, K., Tecmer, P., Limacher, P.A., Johnson, P.A., Ayers, P.W., Bultinck, P., De Baerdemacker, S., Van Neck, D., (2014) J Chem Phys, 140, p. 214114
  • Alcoba, D.R., Torre, A., Lain, L., Massaccesi, G.E., Oña, O.B., (2014) J Chem Phys, 140, p. 234103
  • Limacher, P.A., Kim, T.D., Ayers, P.W., Johnson, P.A., De Baerdemacker, S., Van Neck, D., Bultinck, P., (2014) Mol Phys, 5-6, p. 853
  • Alcoba, D.R., Torre, A., Lain, L., Oña, O.B., Capuzzi, P., Van Raemdonck, M., Bultinck, P., Van Neck, D., (2014) J Chem Phys, 141, p. 244118
  • Ring, P., Schuck, P., (1980) The nuclear many-body problem, , Springe, New York
  • Koltun, D.S., Eisenberg, J.M., (1988) Quantum mechanics of many degrees of freedom, , Wiley, New York
  • Garza, A.J., Jiménez-Hoyos, C.A., Scuseria, G.E., (2013) J Chem Phys, 138, p. 134102
  • Jiménez-Hoyos, C.A., Rodríguez-Guzmán, R., Scuseria, G.E., (2013) J Chem Phys, 139, p. 204102
  • Evangelista, F.A., (2014) J Chem Phys, 140, p. 124114
  • Mentel, L.M., Van Meer, R., Gritsenko, O.V., Baerends, E.J., (2014) J Chem Phys, 140, p. 214105. , COI: 1:STN:280:DC%2BC2cfgsFyhsg%3D%3D
  • Ivanov, V.V., Lyakh, D.I., Adamowicz, L., (2005) Mol Phys, 103, p. 2131. , COI: 1:CAS:528:DC%2BD2MXmtlSqsbg%3D
  • Kullback, S., (1959) Information theory and statistics, , Wiley, New York
  • Mathai, A.M., Tathie, P.N., (1975) Basic concepts in information theory and statistics, , Wiley, New York
  • Pfeiffer, P.E., (1978) Concepts of probability theory, , Dover, New York
  • Paldus, J., Jeziorski, B., (1988) Theor Chim Acta, 73, p. 81. , COI: 1:CAS:528:DyaL1cXktFajtrc%3D
  • Lain, L., Torre, A., Karwowski, J., Valdemoro, C., (1988) Phys Rev A, 38, p. 2721
  • Torre, A., Lain, L., Millan, J., (1993) Phys Rev A, 47, p. 923
  • Lain, L., Torre, A., (1995) Phys Rev A, 52, p. 2446. , COI: 1:CAS:528:DyaK2MXotVWhtLw%3D
  • Surjan, P.R., (1989) Second quantized approach to quantum chemistry, , Springer, Berlin
  • Subotnik, J.E., Shao, Y., Liang, W., Head-Gordon, M., (2004) J Chem Phys, 121, p. 9220. , COI: 1:CAS:528:DC%2BD2cXpsVClsLw%3D
  • Jonhson, R.D.I.I.I., Computational chemistry comparison and benchmark database (2006) NIST Standard reference database, 101. , http://www.srdata.nist.gov/cccbdb
  • Roos, J.B., Larson, M., Larson, A., Orel, A.E., (2009) Phys Rev A, 80, p. 112501
  • Chakrabarti, K., Tennyson, J., (2012) Eur Phys J, 66, p. 31
  • Frisch, M.J., Trucks, G.W., Schlegel, H.B., Scuseria, G.E., Robb, M.A., Cheeseman, J.R., Scalmani, G., Fox, D.J., (2009) Gaussian 09, Revision D.01, , Gaussian Inc., Wallingford
  • 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. , COI: 1:CAS:528:DC%2BD2sXlslSgsLg%3D
  • Weinhold, F., Wilson, E.B., (1967) J Chem Phys, 46, p. 2752. , COI: 1:CAS:528:DyaF2sXkt1Gls70%3D
  • Henderson, T.M., Bulik, I.W., Stein, T., Scuseria, G.E., (2014) J Chem Phys, 141, p. 244104

Citas:

---------- APA ----------
Lain, L., Torre, A., Alcoba, D.R., Oña, O.B. & Massaccesi, G.E. (2015) . A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach. Theoretical Chemistry Accounts, 134(7).
http://dx.doi.org/10.1007/s00214-015-1688-5
---------- CHICAGO ----------
Lain, L., Torre, A., Alcoba, D.R., Oña, O.B., Massaccesi, G.E. "A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach" . Theoretical Chemistry Accounts 134, no. 7 (2015).
http://dx.doi.org/10.1007/s00214-015-1688-5
---------- MLA ----------
Lain, L., Torre, A., Alcoba, D.R., Oña, O.B., Massaccesi, G.E. "A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach" . Theoretical Chemistry Accounts, vol. 134, no. 7, 2015.
http://dx.doi.org/10.1007/s00214-015-1688-5
---------- VANCOUVER ----------
Lain, L., Torre, A., Alcoba, D.R., Oña, O.B., Massaccesi, G.E. A study of the compactness of wave functions based on Shannon entropy indices: a seniority number approach. Theor. Chem. Acc. 2015;134(7).
http://dx.doi.org/10.1007/s00214-015-1688-5