Convergence properties of Hartree–Fock SCF molecular calculations

Hartree‐Fock equations are viewed as nonlinear algebraic equations that can be solved iteratively. Provided we assume the existence of a solution, valuable properties of convergence may be assessed. The close connection between convergence of the SCF procedure and stability properties of the solutio...

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Autor principal: Natiello, M.A
Otros Autores: Scuseria, G.E
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1984
Acceso en línea:Registro en Scopus
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100 1 |a Natiello, M.A. 
245 1 0 |a Convergence properties of Hartree–Fock SCF molecular calculations 
260 |c 1984 
270 1 0 |m Natiello, M.A.; Departamento de Física, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina 
506 |2 openaire  |e Política editorial 
504 |a Löwdin, P‐O., (1969) Adv. Chem. Phys., 14, p. 283 
504 |a Dalgaard, E., Jørgensen, P., (1978) J. Chem. Phys., 69, p. 3833 
504 |a Zerner, M.C., Hehenberger, M., (1979) Chem. Phys. Lett., 62, p. 550 
504 |a Stanton, R.E., (1981) J. Chem. Phys., 75, p. 5416 
504 |a Löwdin, P‐O., Calais, J.L., Calazans, J.M., Simple derivation of conditions for instability in the Hartree-Fock and projected Hartree-Fock schemes (1981) International Journal of Quantum Chemistry, 20, p. 1201 
504 |a Facelli, J.C., Contreras, R.H., (1982) J. Chem. Phys., 77, p. 1076 
504 |a Facelli, J.C., Contreras, R.H., (1983) J. Chem. Phys., 79, p. 3421 
504 |a Calais, J.L., (1979) Int. J. Quantum Chem. Quantum Chem. Symp., 13, p. 387 
504 |a (1982) Theor. Chim. Acta, 61, p. 135 
504 |a Isaacson, E., Keller, H.B., (1966) Analysis of Numerical Methods, , Wiley, New York 
504 |a Feigenbaum, M.J., (1979) J. Stat. Phys., 19, p. 25 
504 |a Ott, E., (1981) Rev. Mod. Phys., 53, p. 655 
504 |a Dupuis, M., Rys, J., King, H.F., (1976), QCPE Program No. 338, Indiana University; Linderberg, J., Öhrn, Y., (1973) Propagators in Quantum Chemistry, , Academic, New York 
504 |a Scuseria, G.E., Contreras, R.H., Unrestricted Hartree-Fock instabilities in semiempirical CNDO/S and INDO/S calculations of spin-spin coupling constants (1981) Theoretica Chimica Acta, 59, p. 437 
504 |a Saunders, V.R., Hillier, I.H., A ?Level-Shifting? method for converging closed shell Hartree-Fock wave functions (1973) International Journal of Quantum Chemistry, 7, p. 699 
504 |a Löwdin, P‐O., (1963) Rev. Mod. Phys., 35, p. 496 
504 |a Ripka, G., (1967) Fundamentals in Nuclear Theory, p. 623. , IAEA, Vienna 
504 |a Prat, R.F., (1976) Localization and Delocalization in Quantum Chemistry, 1, p. 131. , O. Chalvet, R. Daudel, S. Diner, J. P. Malrieu, Reidel, Dordrecht 
520 3 |a Hartree‐Fock equations are viewed as nonlinear algebraic equations that can be solved iteratively. Provided we assume the existence of a solution, valuable properties of convergence may be assessed. The close connection between convergence of the SCF procedure and stability properties of the solution is shown from a nonapproximate standpoint. The convergence features of level‐shifting convergence‐forcing techniques are analyzed. The connection between this nonlinear algebraic approach and the related gap equation is displayed and the example of the restricted Hartree‐Fock hydrogen molecule is discussed. Copyright © 1984 John Wiley & Sons, Inc.  |l eng 
593 |a Departamento de Física, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina 
700 1 |a Scuseria, G.E. 
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