Skip to main content
Log in

Semiempirical andab initio calculations of the full configuration interaction using iterated Krylov’s spaces

  • Published:
Journal of Structural Chemistry Aims and scope Submit manuscript

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).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Wilson,Electron Correlation in Molecules, Oxford University Press, Oxford (1984).

    Google Scholar 

  2. C. W. Bauschlicher, S. R. Langhoff, and P. R. Taylor,Adv. Chem. Phys.,88, 103–133 (1990).

    Article  Google Scholar 

  3. A. V. Luzanov,Teor. éksp. Khim.,27, 413–426 (1991).

    CAS  Google Scholar 

  4. R. J. Harrison,J. Chem. Phys.,94, 5021–5031 (1991).

    Article  CAS  Google Scholar 

  5. J. Olsen, P. Jorgensen, and J. Simons,Chem. Phys. Lett.,169, 463–472 (1990).

    Article  CAS  Google Scholar 

  6. G. L. Bendazzoli and S. Evangelisti,J. Chem. Phys.,98, 3141–3149 (1993).

    Article  CAS  Google Scholar 

  7. V. V. Ivanov and A. V. Luzanov,Ukr. Khim. Zh.,60, 11–16 (1994).

    CAS  Google Scholar 

  8. A. V. Luzanov, E. N. Babich, and V. V. Ivanov,J. Mol Struct. (Theochem),311, 211–220 (1994).

    Article  Google Scholar 

  9. Yu. F. Pedash, V. V. Ivanov, and A. V. Luzanov,Teor. éksp. Khim.,28, 21–24 (1992).

    CAS  Google Scholar 

  10. A. V. Luzanov, V. V. Ivanov, and I. V. Boichenko,J. Mol. Struct. (Theochem).,360, 167–174 (1996).

    Article  CAS  Google Scholar 

  11. D. K. Faddeev and V. N. Faddeeva,Computational Methods of Nonlinear Algebra [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  12. E. Davidson,J. Comput. Phys.,17, 87–94 (1975).

    Article  Google Scholar 

  13. Modern Technique in Computational Chemistry, MOTECC 90, ESCOM, Science, Leiden (1990).

  14. B. N. Parlett,Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, New York (1980).

  15. A. V. Luzanov,Teor. éksp. Khim., 25, 1–12 (1989).

    CAS  Google Scholar 

  16. R. Pauncz,Int. J. Quant Chem.,35, 717–719 (1989).

    Article  CAS  Google Scholar 

  17. A. V. Luzanov and V. V. Ivanov,Funkts. Mater., 1, No. 2, 115–118 (1994.

    Google Scholar 

  18. M. S. Bazaraa and C. M. Shetty,Nonlinear Programming Theory and Algorithms, Wiley, New York (1979).

    Google Scholar 

  19. A. V. Luzanov, Yu. F. Pedash, and V. V. Ivanov,Zh. Strukt. Khim.,30, No. 5, 3–11 (1989).

    CAS  Google Scholar 

  20. H. J. Holleboom, S. G. Snijeders, J. G. Baerends, and M. A. Buijse,J. Chem. Phys.,89, 3638–3653 (1988).

    Article  CAS  Google Scholar 

  21. C. F. Bunge,Phys. Rev.,A14, 1965–1978 (1976).

    Google Scholar 

  22. R. E. Sitter and R. P. Hurst,Phys. Rev.,A5, 5–11 (1972).

    Google Scholar 

  23. U. Fano and J. W. Cooper,Rev. Mod. Phys.,40, 441–507 (1968).

    Article  CAS  Google Scholar 

  24. Yu. S. Barash,Van der Waals Interactions [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  25. P. W. Langhoff, J. Sims, and C. J. Corcoran,Phys. Rev.,A10, 829–841 (1974).

    Google Scholar 

  26. Yu. Yu. Dmitriev and M. S. Yuriev,Opt. Spektrosk,33, 436–439 (1972).

    CAS  Google Scholar 

  27. R. K. Nesbet,Phys. Rev.,A14, 1065–1080 (1976).

    Google Scholar 

  28. I. G. Kaplan,Introduction to Intermolecular Interaction Theory [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  29. W. Rijks and P. E. S. Wormer,J. Chem. Phys.,88, 5704–5717 (1988).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromZhumal Struktumoi Khimii, Vol. 38, No. 1, pp. 14–22, January–February, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02768801

Keywords

Navigation