Skip to main content
Log in

Application of the FAKE molecular-orbital method to diatomic molecules XY (X, Y = H, F, Cl, Br, I)

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

The FAKE (fast, accurate kinetic energy) method of semiempirical molecular orbital calculation is applied to diatomic molecules XY (X, Y= H, F, Cl, Br, I). The method differs from the extended Hückel theories in that it applies simple approximations only to the potential energy integrals, while including accurately calculated kinetic energy effects. This more appropriate treatment of the kinetic energy renders unnecessary the adjustment factors ordinarily introduced in Wolfsberg-Helmholz and Cusachs approximations to obtain a reasonable description of chemical bonding and leads to iterative procedures with greatly improved convergence characteristics. From our present application of FAKE calculations to diatomic molecules we found that the method mimics “real” selfconsistent-field studies to a considerable accuracy; however, the method is primarily designed for our work on large molecules and polymers, for which only the most rapid of semiempirical methods are practical.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Hoffmann, R.: J. Chem. Phys. 39, 1397 (1963)

    Google Scholar 

  2. Rein, R., Clarke, G. A., Harris, F. E.: in Quantum aspects of heterocyclic compounds in chemistry and biochemistry, p. 86. Jerusalem: Israel Acad. Sci. Humanities 1972

    Google Scholar 

  3. Harris, F. E., Trautwein, A. X., Delhalle, J..: Chem. Phys. Lett. 72, 315 (1980)

    Google Scholar 

  4. Harris, F. E., Trautwein, A. X., Delhalle, J.: Int. J. Quantum Chem. 14, 355 (1980)

    Google Scholar 

  5. Straub, P. A., McLean, A. D.: Theoret. Chim. Acta (Berl.) 32, 227 (1974)

    Google Scholar 

  6. Grodzicki, M.: J. Phys. B: Atom. Molec. Phys. 13, 2683 (1980); Bläs, R., Grodzicki, M., Marathe, V. R., Trautwein, A.X.: J. Phys. B: Atom. Molec. Phys. 13, 2693 (dy1980)

    Google Scholar 

  7. Streitwieser, A.: in Molecular orbital theory for organic chemists. New York: Wiley 1959

    Google Scholar 

  8. Moore, C. E.: in Atomic energy levels. Natl. Bur. Std. Circ. No. 467, 2 (1952)

    Google Scholar 

  9. Mataga, N., Nishimoto, K.: Z. Phys. Chem. 13, 140 (1957)

    Google Scholar 

  10. Ohno, K.: in Advances in quantum chemistry, Vol. 3, P. O. Löwdin, Ed., p. 239. New York: Academic Press 1967

    Google Scholar 

  11. Kutzelnigg, W.: in Einführung in die Theoretische Chemie, Band 2, p. 106. Weinheim: Verlag Chemie 1978

    Google Scholar 

  12. Clementi, E.: in Tables of atomic functions, IBM J. Res. Developm. 9, 2 (1965);Clementi, E., Roetti, C.: in Atomic nuclear data tables 14, 177 (1974)

    Google Scholar 

  13. Bowman, J. D., Hirschfelder, J. C., Wahl, A. C.: J. Chem. Phys. 53, 2743 (1970)

    Google Scholar 

  14. Frost, D. C., McDowell, C. A., Vroom, D. A.: J. Chem. Phys. 46, 4255 (1967)

    Google Scholar 

  15. Hall, M. B.: Int. J. Quant. Chem. Symp. 9, 237 (1975)

    Google Scholar 

  16. Koopmans, T.: Physica 1, 104 (1934)

    Google Scholar 

  17. Deb, B. M., Coulson, C. A.: J. Chem. Soc. (A) 958 (1971)

    Google Scholar 

  18. Trautwein, A. X., Harris, F. E.: Theoret. Chim. Acta (Berl.) 30, 45 (1973)

    Google Scholar 

  19. Löwdin, P. O.: J. Chem. Phys. 21, 374 (1953)

    Google Scholar 

  20. Marathe, V. R., Trautwein, A. X.: in Advances in Mössbauer spectroscopy, p. 398. B. V. Thosar, P. K. Iyengar, Eds., Bombay: Elsevier Scientific Publ. Co. 1983; Gütlich, P., Link, R., Trautwein, A. X.: in Mössbauer spectroscopy in transition metal chemistry. Heidelberg: Springer-Verlag 1978

    Google Scholar 

  21. Grodzicki, M., Lauer, S., Trautwein, A. X., Vera, A.: in Recent chemical applications to Mössbauer spectroscopy, p. 3, J.Stevens and G.Shenoy, Eds., Washington: ACS Advances in Chemistry Series, 1981

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Trautwein, A.X., Lauer, S., Delhalle, J. et al. Application of the FAKE molecular-orbital method to diatomic molecules XY (X, Y = H, F, Cl, Br, I). Theoret. Chim. Acta 67, 175–185 (1985). https://doi.org/10.1007/BF00551263

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00551263

Key words

Navigation