Abstract:
Three‐ and four‐center Slater orbital bielectronic integrals are evaluated by means of a complete function set. The method provides a series to approximate the bielectronic integrals. Their corresponding partial sums are analyzed in detail for 1s orbitals. The comparison with the Fourier transform–based method brings forth encouraging perspectives for the present approach. © 1995 John Wiley & Sons, Inc. Copyright © 1995 John Wiley & Sons, Inc.
Registro:
Documento: |
Artículo
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Título: | Numerical evaluation of three‐ and four‐center bielectronic integrals using exponential‐type atomic orbitals |
Autor: | Cesco, J.C.; Denner, C.C.; Rosso, A.E.; Perez, J.E.; Ortiz, F.S.; Contreras, R.H.; Giribet, C.G.; De Azúa, M.C.R. |
Filiación: | Centro Regional de Estudios Avanzados, San Luis, 5700, Argentina Instituto de Matematica Aplicada, Unsl—Conicet, San Luis, Argentina Dpto. de Matematica—Fac. Cs. Extas. Fco‐Qcas. y Nat., Universidad Nacional de Rio Cuarto, Estafeta Postal Nro. 9. (5800), Rio Cuarto, Argentina Dpto. de Quimica y Fisica, Universidad Nacional de Rio Cuarto, Estafeta Postal Nro. 9. (5800), Rio Cuarto, Argentina Dpto. de Fisica—Fac. Cs. Extas Y Naturales, Universidad Nacional de Buenos Aires, Cdad. Univ., Pab. 1 (1428), Buenos Aires, Argentina
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Año: | 1995
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Volumen: | 16
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Número: | 12
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Página de inicio: | 1507
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Página de fin: | 1512
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DOI: |
http://dx.doi.org/10.1002/jcc.540161207 |
Título revista: | Journal of Computational Chemistry
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Título revista abreviado: | J. Comput. Chem.
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ISSN: | 01928651
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01928651_v16_n12_p1507_Cesco |
Referencias:
- Pérez, J.E., Cuenya, H.H., Contreras, R.H., Ortiz, F.S., Grinberg, H., Giribet, C.G., de Azúa, (1994) Theor. Chim. Acta, 88, p. 147
- Pérez, J.E., Cuenya, H.H., Contreras, R.H., Ortiz, F.S., Grinberg, H., Giribet, C.G., de Azúa, (1994) Int. J. Quantum Chem., 528, p. 39. , 48
- Ruedenberg, K., A Study of Two-Center Integrals Useful in Calculations on Molecular Structure. II. The Two-Center Exchange Integrals (1951) The Journal of Chemical Physics, 19, p. 1459
- (1982) Int. Conf. ETO Multicenter Molecular Integrals, Thallahasee, 1981, p. 120. , C. A. Wheatherford, W. H. Jones, Reidel, Dordrecht
- Slater, J.C., (1968) Quantum Theory of Matter, p. 417. , 2nd ed., McGraw‐Hill, New York
- (1972) Handbook of Mathematical Functions, , M. Abramowitz, I. E. Stegun, National Bureau of Standards, Applied Mathematical Series, Dover, NY
- (1960) Bessel Function, p. 2. , F. W. Olver, (Part III: Zeros and Associated Values), University Press, Cambridge, Table I, p
- Vetterling, W., Tenkolsky, S., (1986) Numerical Recipes in Fortran, p. 10. , W. Press, B. Flannery, Cambridge University Press, Cambridge, UK
- Graovac, A., Monkhorst, H.J., Zivkovic, T., Slater orbital molecular integrals with numerical fourier transform methods. I. (coplanar) multicenter exchange integrals over 1s orbitals (1973) International Journal of Quantum Chemistry, 7, p. 233
- Stoer, J., Bulrisch, R., (1980) Introduction to Numerical Analysis, , Springer‐Verlag, New York
- Weniger, E.J., Grotendorst, J., Steinborn, E.O., (1986) Phys. Rev., 33 A, p. 3688
Citas:
---------- APA ----------
Cesco, J.C., Denner, C.C., Rosso, A.E., Perez, J.E., Ortiz, F.S., Contreras, R.H., Giribet, C.G.,..., De Azúa, M.C.R.
(1995)
. Numerical evaluation of three‐ and four‐center bielectronic integrals using exponential‐type atomic orbitals. Journal of Computational Chemistry, 16(12), 1507-1512.
http://dx.doi.org/10.1002/jcc.540161207---------- CHICAGO ----------
Cesco, J.C., Denner, C.C., Rosso, A.E., Perez, J.E., Ortiz, F.S., Contreras, R.H., et al.
"Numerical evaluation of three‐ and four‐center bielectronic integrals using exponential‐type atomic orbitals"
. Journal of Computational Chemistry 16, no. 12
(1995) : 1507-1512.
http://dx.doi.org/10.1002/jcc.540161207---------- MLA ----------
Cesco, J.C., Denner, C.C., Rosso, A.E., Perez, J.E., Ortiz, F.S., Contreras, R.H., et al.
"Numerical evaluation of three‐ and four‐center bielectronic integrals using exponential‐type atomic orbitals"
. Journal of Computational Chemistry, vol. 16, no. 12, 1995, pp. 1507-1512.
http://dx.doi.org/10.1002/jcc.540161207---------- VANCOUVER ----------
Cesco, J.C., Denner, C.C., Rosso, A.E., Perez, J.E., Ortiz, F.S., Contreras, R.H., et al. Numerical evaluation of three‐ and four‐center bielectronic integrals using exponential‐type atomic orbitals. J. Comput. Chem. 1995;16(12):1507-1512.
http://dx.doi.org/10.1002/jcc.540161207