Skip to main content

Advertisement

Log in

Possible Simplification of the Algorithm for Calculating Electronic-Vibrational Energy Levels of Polyatomic Molecules in Natural Coordinates with Averaging of the Kinetic Energy Operator

  • Published:
Journal of Applied Spectroscopy Aims and scope

A simple algorithm for calculating the electronic vibrational energy levels of polyatomic molecules is proposed which is suitable for widespread practical application. This approach is based on using natural coordinates and averaging the matrix of the kinematic coefficients in the kinetic energy operator. This makes it possible to exclude the nondifferential term, which greatly complicates the mathematical procedure, from this operator.

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. N. Bohr, Selected Scientific Papers, Vol. 2 [in Russian], Nauka, Moscow (1971).

  2. P. A. M. Dirac, Usp. Fiz. Nauk, 153, No. 1, 105–154 (1987).

    Article  Google Scholar 

  3. G. R. Gruber, Found. Phys., 1, No. 3, 227–234 (1971).

    Article  ADS  Google Scholar 

  4. G. R. Gruber, Int. J. Theor. Phys., 6, No. 1, 31–35 (1972).

    Article  Google Scholar 

  5. G. R. Gruber, Int. J. Theor. Phys., 7, No. 4, 253–257 (1973).

    Article  Google Scholar 

  6. G. R. Gruber, Found. Phys., 6, No. 1, 111–113, (1976).

    Article  ADS  MathSciNet  Google Scholar 

  7. F. J. Bloore and L. Routh, Nuovo Сimento, 25B, No. 1, 78–84 (1975).

    Article  ADS  Google Scholar 

  8. K. R. Browinstein, Am. J. Phys., 44, No. 7, 677–679 (1976).

    Article  ADS  Google Scholar 

  9. Yu. I. Ponomarev, Opt. Spektrosk., 45, 611–612 (1978).

    Google Scholar 

  10. Yu. I. Ponomarev, Izv. Vyssh. Uchebn. Zaved., Fizika, 21, No. 1, 147–148 (1978).

  11. V. D. Krivchenkov, Sov. Phys. Usp., 24 , No. 10, 860–863 (1981).

    Article  ADS  Google Scholar 

  12. P. Villasenor-Gonsalez and J. Cisneros-Parra, Am. J. Phys., 49, No. 8, 754–756 (1981).

    Article  ADS  Google Scholar 

  13. M. V. Vol′kenshtein, L. A. Gribov, B. I. El′yashevich, and B. I. Stepanov, Molecular Vibrations [in Russian], Nauka, Moscow (1972).

  14. L. A. Gribov, Molecular Vibrations [in Russian], LIBROKOM, Moscow (2009).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. A. Gribov.

Additional information

Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 87, No. 2, pp. 334–337, March–April, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gribov, L.A. Possible Simplification of the Algorithm for Calculating Electronic-Vibrational Energy Levels of Polyatomic Molecules in Natural Coordinates with Averaging of the Kinetic Energy Operator. J Appl Spectrosc 87, 345–348 (2020). https://doi.org/10.1007/s10812-020-01005-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10812-020-01005-2

Keywords

Navigation