A Discussion of Some Aspects of the MCSCF Method

  • Ron Shepard
Part of the NATO ASI Series book series (NSSB, volume 318)

Abstract

After a brief overview of the MCSCF (MultiConfiguration Self-Consistent-Field) method, a more detailed examination of the underlying model is undertaken. The problem of “multiple solutions” is examined with reference to the “symmetry-breaking” problem and with emphasis on single-state cases. It is argued that the most appropriate resolution of such problems is usually case-specific, and depends on the details of how the MCSCF wave function is being used to model the chemical system rather than on features characteristic of the MCSCF wave function itself. Finally, a recently introduced MCSCF wave function optimization method based on multidimensional trigonometric interpolation is briefly discussed.

Keywords

Wave Function Trial Wave Function Orbital Variation Exact Wave Function Wave Funetion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. Shepard, in: “Ab Initio Methods in Quantum Chemistry II, Advances in Chemical Physics 69”, K. P. Lawley, ed., (Wiley, New York, 1987) pp. 63–200.Google Scholar
  2. 2.
    E. Dalgaard and P. Jorgensen, J. Chem. Phys..69, 3833 (1978).CrossRefGoogle Scholar
  3. 3.
    E. Dalgaard, Chem. Phys. Lett.65, 559 (1979).CrossRefGoogle Scholar
  4. 4.
    D. L. Yeager and P. Jørgensen, J. Chem. Phys.71, 755 (1979).CrossRefGoogle Scholar
  5. 5.
    D. J. Thouless. “The Quantum Mechanics of Many-Body Systems,” (Academic Press, New York, 1961). (see in particular pp. 25–27)Google Scholar
  6. 6.
    J. Olsen, D. L. Yeager, and P. Jørgensen, Adv. Chem. Phys.54,1 (1983).CrossRefGoogle Scholar
  7. 7.
    R. Shepard, I. Shavitt, and J. Simons, J. Chem. Phys..76,543 (1982).CrossRefGoogle Scholar
  8. 8.
    H. J. Aa. Jensen, P. Jørgensen, and H. Agren, J. Chem. Phys.87,451 (1987).CrossRefGoogle Scholar
  9. 9.
    P. G. Szalay, A. G. Császár, G. Fogarasi, A. Karpfen, and H. Lischka, J. Chem. Phys.93,1246 (1990).CrossRefGoogle Scholar
  10. 10.
    R. Shepard, I. Shavitt, R. M. Pitzer, D. C. Comeau, M. Pepper, H. Lischka, P. G. Szalay, R. Ahlrichs, F. B. Brown, and J.-G. Zhao, Int. J. Quantum. Chem.S22,149 (1988).CrossRefGoogle Scholar
  11. 11.
    P. E. M. Siegbahn, Chem. Phys. Lett.119,515 (1985).CrossRefGoogle Scholar
  12. 12.
    H.-J. Werner, in:Ab Initio Methods in Quantum Chemistry II, Advances in Chemical Physics 69”, K. P. Lawley, ed., (Wiley, New York, 1987) pp. 1–62.Google Scholar
  13. 13.
    H.-J. Werner and P. J. Knowles, Theor. Chim. Acta 78,175 (1990).CrossRefGoogle Scholar
  14. 14.
    R. Ahlrichs and P. Scharf, in: “Ab Initio Methods in Quantum Chemistry I, Advances in Chemical Physics 67”, K. P. Lawley, ed., (Wiley, New York, 1987) pp. 501–537.Google Scholar
  15. 15.
    A. Banerjee and J. Simons, Int. J. Quantum Chem.19,207 (1981).CrossRefGoogle Scholar
  16. 16.
    W. D. Laidig and R. J. Bartlett, Chem. Phys. Lett.104,424 (1984).CrossRefGoogle Scholar
  17. 17.
    M. R. Hoffmann and J. Simons, J. Chem. Phys.90,3671 (1989).CrossRefGoogle Scholar
  18. 18.
    M. A. Anderson and R. J. Cave, Chem. Phys.154,1 (1991).CrossRefGoogle Scholar
  19. 19.
    B. O. Roos, K. Anderson, and M. P. Falscher, Chem. Phys. Lett.192,5 (1992).CrossRefGoogle Scholar
  20. 20.
    E. R. Davidson and C. F. Bender, Chem. Phys. Lett.59,369 (1978).CrossRefGoogle Scholar
  21. 21.
    R. B. Murphy and R. P. Messmer, J. Chem. Phys.97,4170 (1992).CrossRefGoogle Scholar
  22. 22.
    E. A. Stahlberg, Multireference second- and third-order perturbation theory, in: “Application of Multireference Based Correlation Methods to the Study of Weak Bonding Interactions,” Dissertation, Department of Chemistry, The Ohio State University, Columbus, Ohio (1991).Google Scholar
  23. 23.
    K. K. Docken and J. Hinze, J. Chem. Phys. 57,4928 (1972).CrossRefGoogle Scholar
  24. 24.
    K. Ruedenberg, L. M. Cheung, and S. T. Elbert, Int. J. Quantum Chem.16,1069 (1979).CrossRefGoogle Scholar
  25. 25.
    R. Shepard, Theor.Chim. Acta 84,55 (1992).CrossRefGoogle Scholar
  26. 26.
    M. Frisch, I. N. Ragazos, M. A. Robb, and H. B. Schlegel, Chem. Phys. Lett.189,524 (1992).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Ron Shepard
    • 1
  1. 1.Theoretical Chemistry Group, Chemistry DivisionArgonne National LaboratoryArgonneUSA

Personalised recommendations