Theoretica chimica acta

, Volume 51, Issue 3, pp 241–246 | Cite as

Atoms-in-molecules theory: Non-Hermitian formulation

  • Frank O. Ellison
Original Investigations

Abstract

Non-Hermitian formulations of the ICC (Intraatomic Correlation Correction) method as well as the SAIM (Scaled Atoms-in-Molecules) theory are applied to the ground state of the hydrogen molecule. It is found that the approximation of Hermitizing the energy matrix depresses the expectation value of the energy. In the SAIM treatment, this depression is particularly large; the non-Hermitian results are in quite good agreement with experiment.

Key words

Hydrogen molecule Atoms-in-molecules theory, non-Hermitian formulation of ∼ 

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References

  1. 1.
    Moffitt, W.: Proc. Roy. Soc. (London)A210, 245 (1951)Google Scholar
  2. 2.
    Scherr, C. W.: J. Chem. Phys.22, 149 (1954); Hurley, A. C.: Proc. Phys. Soc. (London)A68, 149 (1955); Arai, T.: Rev. Mod. Phys.32, 370 (1960)Google Scholar
  3. 3.
    Pauncz, R.: Acta Phys. Acad. Sci. Hung.4, 237 (1954)Google Scholar
  4. 4.
    Hurley, A. C.: Proc. Phys. Soc. (London)A69, 49 (1956)Google Scholar
  5. 5.
    Ellison, F. O., Wu, A. A.: J. Chem. Phys.47, 4408 (1967)Google Scholar
  6. 6.
    Balint-Kurti, G. G., Karplus, M.: J. Chem. Phys.50, 478 (1969)Google Scholar
  7. 7.
    Tully, J. C., Truesdale, C. M.: J. Chem. Phys.65, 1002 (1976)Google Scholar
  8. 8.
    Steiner, E., Certain, P. R., Kuntz, P. J.: J. Chem. Phys.59, 47 (1973)Google Scholar
  9. 9.
    Weinbaum, S.: J. Chem. Phys.1, 317 (1933)Google Scholar
  10. 10.
    Kolos, W., Wolniewicz, L.: J. Chem. Phys.43, 2429 (1965)Google Scholar
  11. 11.
    Ellison, F. O., Slezak, J. A.: J. Chem. Phys.50, 3942 (1969)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Frank O. Ellison
    • 1
  1. 1.Department of ChemistryUniversity of PittsburghPittsburghUSA

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