Skip to main content
Log in

Bonding criteria for diatomic molecular orbitals and inter-relations among them

  • Original Investigations
  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

Bonding criteria for molecular orbitals in diatomic molecules are discussed. An orbital force criterion is shown to have several conceptual and practical advantages, providing a basis for the investigation of inter-relations among many of the commonly employed criteria.

It is found that interconsistency among those criteria is guaranteed, within the framework of Koopmans' Theorem, if the orbital energies are monotonic in the range (R e, ∞).

The application of the orbital force criterion to the second row homonuclear diatomics exhibits reasonable chemical trends concerning the valence-shell orbitals, as well as indications of a slightly antibonding nature of the inner orbitals.

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. Mulliken, R. S., in: Quantum theory of atoms, molecules and solid state, P. O. Löwdin, Ed., and references therein. New York: Academic Press 1966

    Google Scholar 

  2. Hurley, A. C., in: Molecular orbitals in chemistry, physics and biology, P. O. Löwdin and B. Pullman Eds. New York: Academic Press 1964

    Google Scholar 

  3. Price, W. C.: Advan. At. Mol. Phys.10, 131 (1974)

    Google Scholar 

  4. Feinberg, M. J., Ruedenberg, K., Mehler, E. L.: Advan. Quantum Chem.5, 27 (1970)

    Google Scholar 

  5. See, e.g., Coulson, C. A.: Valence. London: Oxford University Press 1961

    Google Scholar 

  6. Eyring, H., Walter, J., Kimball, G. E.: Quantum chemistry, p. 208. New York: John Wiley & Sons 1967

    Google Scholar 

  7. Mulliken, R. S.: Intern., J. Quantum Chem.8, 817 (1974); Ermler, W. C., Mulliken, R. S., Wahl, A. C.: J. Chem. Phys.66, 3031 (1977)

    Google Scholar 

  8. Berlin, T.: J. Chem. Phys.19, 208 (1951)

    Google Scholar 

  9. Bader, R. F. W., Henneker, W. H., Cade, P. E.: J. Chem. Phys.46, 3341 (1967)

    Google Scholar 

  10. Slater, J. C., Mann, J. B., Wilson, T. M., Wood, J. H.: Phys. Rev.184, 672 (1969)

    Google Scholar 

  11. Goscinski, O., in: Quantum science — methods and structure, J.-L. Calais, O. Goscinski, J. Linderberg, Y. N. Öhrn, Eds. New York: Plenum Press 1976; Goscinski, O., Palma, A.: Chem. Phys. Letters47, 322 (1977)

    Google Scholar 

  12. Fraga, S., Ransil, B. J.: J. Chem. Phys.35, 1967 (1961)

    Google Scholar 

  13. Ransil, B. J.: J. Chem. Phys.34, 2109 (1961)

    Google Scholar 

  14. Clementi, E., Popkie, H.: J. Chem. Phys.57, 4870 (1972)

    Google Scholar 

  15. Nesbet, R. K.: J. Chem. Phys.40, 3619 (1964)

    Google Scholar 

  16. Fraga, S., Ransil, B. J.: J. Chem. Phys.35, 669 (1961)

    Google Scholar 

  17. Clark, D. T., Muller, J.: Theoret. Chim. Acta (Berl.)41, 193 (1976)

    Google Scholar 

  18. Herzberg, G.: Spectra of diatomic molecules. Princeton: Van Nostrand 1950

    Google Scholar 

  19. Rosen, B.: Spectroscopic data relative to diatomic molecules. Oxford: Pergamon Press 1970

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Based on a section of a thesis to be submitted by Y.T. to the Senate of the Technion-Israel Institute of Technology, in partial fulfilment of the requirements for the D.Sc. degree

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tal, Y., Katriel, J. Bonding criteria for diatomic molecular orbitals and inter-relations among them. Theoret. Chim. Acta 46, 173–181 (1977). https://doi.org/10.1007/BF00578227

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00578227

Key words

Navigation