Skip to main content
Log in

Spin-projected Extended Hartree-Fock using a Valence Bond approach

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Summary

We describe spin-projected Extended Hartree-Fock calculations, performed with a Valence Bond Self-Consistent Field program. Potential energy curves are given for BH, BeH, and N2. For BH the EHF function ranks well with the corresponding Spin-coupled and full CI wave functions. For BeH, the EHF function introduces spin contamination in the separated Be atom due to the rigidity of the wave function. This results in an inferior potential energy curve compared to Spin-coupled and full CI. The triple bond breaking in N2 is again nicely described by EHF. The Extended Hartree-Fock method as suggested by Löwdin can be a feasible tool in describing bond breaking.

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. Löwdin P-O (1955) Phys Rev 97:1509

    Google Scholar 

  2. Pauncz R (1967) Alternant molecular orbital method. WB Saunders, Philadelphia

    Google Scholar 

  3. Löwdin P-O (1966) The projected Hartree-Fock method. An extension of the independent-particle scheme. In: Löwdin (ed) Quantum theory of atoms, molecules, and the solid state. Academic Press, NY

    Google Scholar 

  4. Howat G, Lunell S (1976) Projected Hartree-Fock calculations on the ground and first excited1Σ + g states of the hydrogen molecule. In: Calais, Goscinski, Linderberg and Öhrn (eds) Quantum science. Plenum Press, NY

    Google Scholar 

  5. Mayer I (1978) Int J Quantum Chem 14:29

    Google Scholar 

  6. Handy NC, Rice JE (1988) Gradient theory; Its application to the Extended Hartree-Fock method. In: Carbó (ed) Quantum chemistry: basic aspects, actual trends, vol 62. Elsevier, Amsterdam

    Google Scholar 

  7. Mayer I, Kondász J (1975) Int J Quantum Chem 9:517

    Google Scholar 

  8. Mayer I (1980) The spin-projected Extended Hartree-Fock method. In: Advances in quantum chemistry, vol 12. Academic Press, NY

    Google Scholar 

  9. Gerratt J (1971) Adv atom mol Phys 7:141

    Google Scholar 

  10. Pauncz R (1979) Spin eigenfunctions, construction and use. Plenum Press, NY

    Google Scholar 

  11. Cooper DL, Gerratt J, Raimondi M (1991) Chem Rev 91:929

    Google Scholar 

  12. Goddard III WA (1967) Phys Rev 157:73

    Google Scholar 

  13. Pauncz R (1976) Investigations into the properties of projected spin functions. In: Calais, Goskinski, Linderberg, and Öhrn (eds) Quantum science, Plenum Press, NY

    Google Scholar 

  14. Amos AT, Hall GG (1961) Proc R Soc London 263:483

    Google Scholar 

  15. Smeyers YG, Delgado-Barrio G, Doreste-Suárez L, Martin-González JM (1986) Int J Quantum Chem 29:1705

    Google Scholar 

  16. Smeyers YG, Delgado-Barrio G, Doreste-Suarez L, Martin-González JM (1986) J Mol Struct 143:561

    Google Scholar 

  17. van Lenthe JH, Balint-Kurti GG (1980) Chem Phys Lett 76:138

    Google Scholar 

  18. van Lenthe JH, Balint-Kurti GG (1983) J Chem Phys 78:5699

    Google Scholar 

  19. Verbeek J, Langenberg JH (1989) TURTLE — anab initio VB/VBSCF/VBCI program, Utrecht

  20. Verbeek J (1990) Nonorthogonal orbitals inab initio many-electron wavefunctions, Ph.D. Thesis, University of Utrecht

  21. Verbeek J, Lenthe JHv (1991) Int J Quantum Chem 15:201

    Google Scholar 

  22. Löwdin P-O (1955) Phys Rev 97:1474

    Google Scholar 

  23. Levy B, Berthier G (1986) Int J Quantum Chem 2:307

    Google Scholar 

  24. Grein F, Chang TC (1971) Chem Phys Lett 12:44

    Google Scholar 

  25. Banerjee A, Grein F (1976) Int J Quantum Chem 10:123

    Google Scholar 

  26. van Duijneveldt FB (1971) Gaussian basis sets for the atoms H-Ne for use in molecular calculations, Internal Report. IBM Research Laboratory, San Jose, California

    Google Scholar 

  27. Dunning Jr TH, Hey PJ (1977) Gaussian basis sets for molecular calculations. In: Schaefer III (ed) Methods of electronic structure theory, vol 3. Plenum Press, NY

    Google Scholar 

  28. Dupuis M, Spangler D, Wendoloski JJ (1980) NRCC Program QG01, GAMESS, Lawrence Berkeley Laboratory; M. F. Guest, R. J. Harrison, J. H. van Lenthe and L. C. H. van Corler (1987) Theor Chim Acta 71:117; S. Zarrabian and R. J. Harrison (1989) Chem Phys Lett 81

  29. Gerratt J, Raimondi M (1980) Proc R Soc Lond A 371:525

    Google Scholar 

  30. Ruttink PJA (1978) Theoret Chim Acta 49:223

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Byrman, C.P., van Lenthe, J.H. & Verbeek, J. Spin-projected Extended Hartree-Fock using a Valence Bond approach. Theoret. Chim. Acta 86, 129–136 (1993). https://doi.org/10.1007/BF01113519

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01113519

Key words

Navigation