Abstract
The algorithm proposed previously for calculating the full configuration interaction using the variation matrix of the wave operator involves the numerical solution of the corresponding incomplete eigenvalue problem based on iterated Krylov’s subspaces. In practice, that means using the multistep gradient method as a special version of the Lanczos method. The high efficiency of this algorithm, which can readily be used in personal computer calculations, is proved by particular ab initio calculations of the full configuration interaction for the helium and beryllium atoms as well as by semiempirical calculations of π-shells for naphthalene and diphenylene. The algorithm is of particular assistance in obtaining numerous excited states, which are used for determining various spectral sums (polarizability, van der Waals interaction constants, and photoionization cross sections).
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References
S. Wilson,Electron Correlation in Molecules, Oxford University Press, Oxford (1984).
C. W. Bauschlicher, S. R. Langhoff, and P. R. Taylor,Adv. Chem. Phys.,88, 103–133 (1990).
A. V. Luzanov,Teor. éksp. Khim.,27, 413–426 (1991).
R. J. Harrison,J. Chem. Phys.,94, 5021–5031 (1991).
J. Olsen, P. Jorgensen, and J. Simons,Chem. Phys. Lett.,169, 463–472 (1990).
G. L. Bendazzoli and S. Evangelisti,J. Chem. Phys.,98, 3141–3149 (1993).
V. V. Ivanov and A. V. Luzanov,Ukr. Khim. Zh.,60, 11–16 (1994).
A. V. Luzanov, E. N. Babich, and V. V. Ivanov,J. Mol Struct. (Theochem),311, 211–220 (1994).
Yu. F. Pedash, V. V. Ivanov, and A. V. Luzanov,Teor. éksp. Khim.,28, 21–24 (1992).
A. V. Luzanov, V. V. Ivanov, and I. V. Boichenko,J. Mol. Struct. (Theochem).,360, 167–174 (1996).
D. K. Faddeev and V. N. Faddeeva,Computational Methods of Nonlinear Algebra [in Russian], Fizmatgiz, Moscow (1963).
E. Davidson,J. Comput. Phys.,17, 87–94 (1975).
Modern Technique in Computational Chemistry, MOTECC 90, ESCOM, Science, Leiden (1990).
B. N. Parlett,Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, New York (1980).
A. V. Luzanov,Teor. éksp. Khim., 25, 1–12 (1989).
R. Pauncz,Int. J. Quant Chem.,35, 717–719 (1989).
A. V. Luzanov and V. V. Ivanov,Funkts. Mater., 1, No. 2, 115–118 (1994.
M. S. Bazaraa and C. M. Shetty,Nonlinear Programming Theory and Algorithms, Wiley, New York (1979).
A. V. Luzanov, Yu. F. Pedash, and V. V. Ivanov,Zh. Strukt. Khim.,30, No. 5, 3–11 (1989).
H. J. Holleboom, S. G. Snijeders, J. G. Baerends, and M. A. Buijse,J. Chem. Phys.,89, 3638–3653 (1988).
C. F. Bunge,Phys. Rev.,A14, 1965–1978 (1976).
R. E. Sitter and R. P. Hurst,Phys. Rev.,A5, 5–11 (1972).
U. Fano and J. W. Cooper,Rev. Mod. Phys.,40, 441–507 (1968).
Yu. S. Barash,Van der Waals Interactions [in Russian], Nauka, Moscow (1988).
P. W. Langhoff, J. Sims, and C. J. Corcoran,Phys. Rev.,A10, 829–841 (1974).
Yu. Yu. Dmitriev and M. S. Yuriev,Opt. Spektrosk,33, 436–439 (1972).
R. K. Nesbet,Phys. Rev.,A14, 1065–1080 (1976).
I. G. Kaplan,Introduction to Intermolecular Interaction Theory [in Russian], Nauka, Moscow (1982).
W. Rijks and P. E. S. Wormer,J. Chem. Phys.,88, 5704–5717 (1988).
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Translated fromZhumal Struktumoi Khimii, Vol. 38, No. 1, pp. 14–22, January–February, 1997.
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Ivanov, V.V., Luzanov, A.V. Semiempirical andab initio calculations of the full configuration interaction using iterated Krylov’s spaces. J Struct Chem 38, 10–17 (1997). https://doi.org/10.1007/BF02768801
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DOI: https://doi.org/10.1007/BF02768801