Skip to main content
Log in

Nonorthogonal weights of modern VB wavefunctions. Implementation and applications within CASVB

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

Abstract

The CASVB approach is a recent development in modern valence bond theory which aims to provide easily visualized, highly accurate representations of very general types of CASSCF wavefunctions. Fully variational optimization may also be performed for quite general types of modern valence bond wavefunction. Numerous definitions of nonorthogonal weights are used to investigate the role of contributions from various types of ‘ionic’ configurations, taking hexatriene and N2S2 as illustrative examples.

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.F. Boys, Rev. Mod. Phys. 32 (1960) 296.

    Article  CAS  Google Scholar 

  2. S.F. Boys, in: Quantum Theory of Atoms Molecules and the Solid State, ed. P.-O. Löwdin (Academic Press, New York, 1966) p. 253.

    Google Scholar 

  3. R.J. Cave and E.R. Davidson, Chem. Phys. Lett. 148 (1988) 190.

    Article  CAS  Google Scholar 

  4. R.J. Cave and E.R. Davidson, J. Phys. Chem. 92 (1988) 614.

    Article  CAS  Google Scholar 

  5. B.H. Chirgwin and C.A. Coulson, Proc. Roy. Soc. Lond. Ser. A 201 (1950) 196.

    Google Scholar 

  6. D.L. Cooper, J. Gerratt and M. Raimondi, Chem. Rev. 91 (1991) 929.

    Article  CAS  Google Scholar 

  7. D.L. Cooper, J. Gerratt, M. Raimondi, M. Sironi and T. Thorsteinsson, Theoret. Chim. Acta 85 (1993) 261.

    Article  CAS  Google Scholar 

  8. D.L. Cooper, T. Thorsteinsson and J. Gerratt, Int. J. Quantum Chem. 65 (1997) 439.

    Article  CAS  Google Scholar 

  9. E.R. Davidson, J. Chem. Phys. 37 (1962) 577.

    Article  CAS  Google Scholar 

  10. T.H. Dunning, Jr., J. Chem. Phys. 55 (1971) 716.

    Article  CAS  Google Scholar 

  11. T.H. Dunning, Jr., Chem. Phys. 90 (1989) 1007.

    Article  CAS  Google Scholar 

  12. C. Edminston and K. Ruedenberg, J. Chem. Phys. 43 (1963) S97.

    Article  Google Scholar 

  13. C. Edminston and K. Ruedenberg, Rev. Mod. Phys. 35 (1963) 457.

    Article  Google Scholar 

  14. C. Edminston and K. Ruedenberg, in: Quantum Theory of Atoms Molecules and the Solid State, ed. P.-O. Löwdin (Academic Press, New York, 1966) p. 263.

    Google Scholar 

  15. R.H. Findlay, M.H. Palmer, A.J. Downs, R.G. Edgell and R. Evans, Inorg. Chem. 19 (1980) 1307.

    Article  CAS  Google Scholar 

  16. J.M. Foster and S.F. Boys, Rev. Mod. Phys. 32 (1960) 300.

    Article  CAS  Google Scholar 

  17. G.A. Gallup and J.M. Norbeck, Chem. Phys. Lett. 21 (1973) 495.

    Article  CAS  Google Scholar 

  18. G.A. Gallup, R.L. Vance, J.R. Collins and J.M. Norbeck, Adv. Quantum Chem. 16 (1982) 229.

    Article  CAS  Google Scholar 

  19. J. Gerratt, S.J. McNicholas, P.B. Karadakov, M. Sironi, M. Raimondi and D.L. Cooper, J. Am. Chem. Soc. 118 (1996) 6472.

    Article  CAS  Google Scholar 

  20. R.D. Harcourt and F.L. Skrezenek, J. Mol. Struct. (Theochem) 36 (1987) 203.

    Article  CAS  Google Scholar 

  21. R.J. Harrison and S. Zarrabian, Chem. Phys. Lett. 158 (1989) 393.

    Article  CAS  Google Scholar 

  22. W. Haugen and M. Traetteberg, Acta Chem. Scand. 20 (1966) 1726.

    CAS  Google Scholar 

  23. S. Huzinaga and C. Arnau, Phys. Rev. A 1 (1970) 1285.

    Article  Google Scholar 

  24. S. Huzinaga and C. Arnau, J. Chem. Phys. 54 (1971) 1948.

    Article  CAS  Google Scholar 

  25. P.J. Knowles and H.-J. Werner, Chem. Phys. Lett. 115 (1985) 259.

    Article  CAS  Google Scholar 

  26. P.-O. Löwdin, Ark. Mat. Astr. Fysik 35A (1947) 9.

    Google Scholar 

  27. P.-O. Löwdin and H. Shull, J. Chem. Phys. 25 (1956) 1035.

    Article  Google Scholar 

  28. P.Å. Malmqvist, Int. J. Quantum Chem. 30 (1986) 479.

    Article  CAS  Google Scholar 

  29. R. Mulliken, J. Chem. Phys. 23 (1955) 1833, 2343.

    Article  CAS  Google Scholar 

  30. M.A.C. Nascimento and W.A. Goddard III, Chem. Phys. Lett. 60 (1979) 197.

    Article  CAS  Google Scholar 

  31. M.A.C. Nascimento and W.A. Goddard III, Chem. Phys. 53 (1980) 265.

    Article  CAS  Google Scholar 

  32. J. Olsen, B.O. Roos, P. Jørgensen and H.J.Aa. Jensen, J. Chem. Phys. 89 (1988) 2185.

    Article  CAS  Google Scholar 

  33. J. Pipek and P.G. Mezey, J. Chem. Phys. 90 (1989) 4916.

    Article  CAS  Google Scholar 

  34. L. Serrano-Andrés, M. Merchán, I. Nebot-Gil, R. Lindh and B.O. Roos, J. Chem. Phys. 98 (1993) 3151.

    Article  Google Scholar 

  35. F.L. Skrezenek and R.D. Harcourt, J. Am. Chem. Soc. 106 (1984) 3934.

    Article  CAS  Google Scholar 

  36. T. Thorsteinsson, Development of methods in spin-coupled theory, Ph.D. thesis, University of Liverpool (1995).

  37. T. Thorsteinsson and D.L. Cooper, Theoret. Chim. Acta 94 (1996) 233.

    CAS  Google Scholar 

  38. T. Thorsteinsson, D.L. Cooper, J. Gerratt, P.B. Karadakov and M. Raimondi, Theoret. Chim. Acta 93 (1996) 343.

    Article  CAS  Google Scholar 

  39. T. Thorsteinsson, D.L. Cooper, J. Gerratt and M. Raimondi, Theoret. Chim. Acta 95 (1997) 131.

    CAS  Google Scholar 

  40. T. Thorsteinsson, D.L. Cooper, J. Gerratt and M. Raimondi, in: Quantum Systems in Chemistry and Physics: Trends in Methods and Applications, eds. R. McWeeny, J. Maruani, Y.G. Smeyers and S. Wilson (Kluwer, Dordrecht, 1997).

    Google Scholar 

  41. H.-J. Werner and P.J. Knowles, J. Chem. Phys. 82 (1985) 5053.

    Article  CAS  Google Scholar 

  42. S. Zarrabian, C.R. Sarma and J. Paldus, Chem. Phys. Lett. 155 (1989) 183.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thorsteinsson, T., Cooper, D.L. Nonorthogonal weights of modern VB wavefunctions. Implementation and applications within CASVB. Journal of Mathematical Chemistry 23, 105–106 (1998). https://doi.org/10.1023/A:1019100703879

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1019100703879

Keywords

Navigation