Skip to main content
Log in

Systematic approach to extended even-tempered orbital bases for atomic and molecular calculations

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

Abstract

Explicit formulas are established for simply generating arbitrarily large basis sets of optimal even-tempered Gaussian primitives which systematically approach complete bases for the entire function space. These bases, moreover, reproduce the corresponding optimal atomic SCF wavefunctions extremely closely and permit an extrapolation of the SCF energies to the Hartree-Fock limit. On the basis of the detailed quantitative information available from these calculations a simple general procedure is formulated for generating optimal even-tempered basis sets for molecular calculations.

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. Schwartz, C., in: Methods in computational physics, Alder, B., ed., Vol. 2, p. 241. New York: Academic Press 1963

    Google Scholar 

  2. Ruedenberg, K., Raffenetti, R. C., Bardo, R. D., in: “Energy Structure and Reactivity” Proceedings of the 1972 Boulder Conference on Theoretical Chemistry, p. 164. New York: Wiley 1973

    Google Scholar 

  3. Huzinaga, S.: Approximate atomic functions. University of Alberta Press 1971

  4. Kikuchi, R.: J. Chem. Phys. 22, 148 (1954)

    Google Scholar 

  5. Bishop, D. M., Somorjai, R. L.: J. Math. Phys. 11, 1150 (1970)

    Google Scholar 

  6. Taylor, W. J.: J. Math. Phys. 19, 52 (1978)

    Google Scholar 

  7. Raffenetti, R. C.: J. Chem. Phys. 59, (1972)

  8. Bardo, R. D., Ruedenberg, K.: J. Chem. Phys. 59, 5956 (1973)

    Google Scholar 

  9. Raffenetti, R. C.: Intern. J. Quantum Chem. 9, 289 (1975)

    Google Scholar 

  10. Schmidt, M. W., Ruedenberg, K.: to be published

  11. Fischer, C. F., in: Some Hartree-Fock results for atoms helium to radon. Vancouver, B.C.: University of British Columbia Press 1968; Atomic Data 4, 301 (1972)

    Google Scholar 

  12. Fischer, C. F.: The Hartree-Fock method for atoms: a numerical approach. New York: Interscience 1977

    Google Scholar 

  13. Bardo, R. D., Ruedenberg, K.: J. Chem. Phys. 60, 918 (1974); Cheung, L. M.: Ph.D. dissertation, Appendix B, Department of Chemistry, Iowa State University, 1975

    Google Scholar 

  14. Raffenetti, R. C.: J. Chem. Phys. 58, 4452 (1973)

    Google Scholar 

  15. Dunning, T. H.: J. Chem. Phys. 53, 2823 (1970)

    Google Scholar 

  16. Nesbet, R. K.: J. Chem. Phys. 36, 1518 (1962)

    Google Scholar 

  17. Poirier, R., Kari, R.: Can. J. Chem. 56, 543 (1978)

    Google Scholar 

  18. Green, S.: J. Chem. Phys. 52, 3100 (1970)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Professor Dr. Hermann Hartmann on the occasion of his 65th birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feller, D.F., Ruedenberg, K. Systematic approach to extended even-tempered orbital bases for atomic and molecular calculations. Theoret. Chim. Acta 52, 231–251 (1979). https://doi.org/10.1007/BF00547681

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00547681

Key words

Navigation