Skip to main content
Log in

Effective Vibrational-Rotational Hamiltonian and the Potential Surface

  • Published:
Russian Physics Journal Aims and scope

Abstract

A method for studying the potential surfaces of polyatomic molecules is developed in the context of the theory of effective Hamiltonians. Simple iterative schemes for determining equilibrium coordinates of nuclei and points of the closest approach of electronic surfaces are derived in the form of closed systems of equations. The influence of intramolecular interactions on the potential surface is studied to the second order in perturbation theory.

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. Ch. J. Borde, Rev. Centh. Signal, No. 583-1, 1-118 (1983).

  2. H. Partridge and D. W. Schwenke, J. Chem. Phys., 106, 4618-4638 (1997) (http://george.Arc.nasa.gov/~dschwenke/h20/h20.html).

    Google Scholar 

  3. U. G. Jogensen and P. Jensen, J. Mol. Spectrosc., 161, 219-242 (1993).

    Google Scholar 

  4. G. V. Mayer and V. Ya. Artyukhov, in: Modern Problems of Optics and Spectroscopy, Yu. S. Makushkin, G. V. Mayer, and A. M. Yancharina, eds. [in Russian], Publishing House of Tomsk State University, Tomsk (2001), pp. 405-448.

    Google Scholar 

  5. G. V. Mayer, V. Ya. Artyukhov, O. K. Bazyl', et al., Electronically Excited States and Photochemistry of Organic Compounds [in Russian], Nauka, Novosibirsk (1997).

    Google Scholar 

  6. V. I. Minkin, B. Ya. Simkin, and R. M. Minyaev, Theory of the Structure of Molecules [in Russian], Feniks, Rostov-on-Don (1997).

    Google Scholar 

  7. A. E. Bolonkin and Yu. S. Makushkin, Opt. Spektrosk., 32, No. 2, 264-268 (1972).

    Google Scholar 

  8. A. E. Bolonkin and Yu. S. Makushkin, Opt. Spektrosk., 33, No. 5, 844-848 (1972).

    Google Scholar 

  9. A. E. Bolonkin and Yu. S. Makushkin, Opt. Spektrosk., 35, No. 1, 82-86 (1973).

    Google Scholar 

  10. P. R. Bunker and R. E. Moss, Molec. Phys., 33, No. 2, 417-424 (1977).

    Google Scholar 

  11. P. R. Bunker, C. J. McLarnon, and R. E. Moss, Mol. Phys., 33, No. 2, 425-429 (1977).

    Google Scholar 

  12. Yu. S. Makushkin and O. N. Ulenikov, Opt. Spektrosk., 36, No. 6, 1091-1097 (1974).

    Google Scholar 

  13. M. A. El'yashevich, Trudy Gosud. Opt. Inst., 12, No. 106, 3-134 (1938).

    Google Scholar 

  14. J. K. G. Watson, Mol. Phys., 15, No. 5, 479-490 (1968).

    Google Scholar 

  15. Yu. S. Makushkin and O. N. Ulenikov, J. Mol. Spestrosc., 68, No. 1, 1-20 (1977).

    Google Scholar 

  16. Yu. S. Makushkin, Opt. Spektrosk., 37, No. 4, 662-667 (1974).

    Google Scholar 

  17. Yu. S. Makushkin and V. N. Cherepanov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 68-72 (1981).

  18. Yu. S. Makushkin and Vl. G. Tyuterev, Perturbation Methods and Effective Hamiltonians in Moleculer Spectroscopy [in Russian], Nauka, Novosibirsk (1984).

    Google Scholar 

  19. A. D. Bykov, Yu. S. Makushkin, and O. N. Ulenikov, Vibrational-Rotational Spectroscopy of Water Vapor [in Russian], Nauka, Novosibirsk (1989).

    Google Scholar 

  20. A. D. Bykov, Yu. S. Makushkin, and O. N. Ulenikov, Isotope Substitution in Polyatomic Molecules [in Russian], Nauka, Novosibirsk (1985).

    Google Scholar 

  21. C. E. Soliverez, J. Phys., C2, 2161-2174 (1969).

    Google Scholar 

  22. Yu. S. Makushkin and V. N. Cherepanov, in: Modern problems of Optics and Spectroscopy, Yu. S. Makushkin, G. V. Mayer, and A. M. Yancharina, eds. [in Russian], Publishing House of Tomsk State University, Tomsk (2001), pp. 155-172.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Makushkin, Y.S., Cherepanov, V.N. Effective Vibrational-Rotational Hamiltonian and the Potential Surface. Russian Physics Journal 45, 562–569 (2002). https://doi.org/10.1023/A:1021195201657

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021195201657

Keywords

Navigation