Skip to main content
Log in

Improved method for calculating vibronic spectra of complex molecules

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

Abstract

The previously suggested approximate method for calculating the overlap integrals of vibrational wave functions is considerably improved for the purpose of maximally accurate calculation of excitation-induced mixing of normal coordinates. A general formula is obtained for all types of overlap integrals as a finite power series of the potential surface shift parameters; the coefficients are derivatives of the corresponding generating Junctions represented as polynomials of the shift vector elements of the normal coordinates and the mixing matrix. The spectra of model molecules of decatetraene and tetra- and hexadecaheptaene were calculated using the expressions derived in this work and a semiempirical parametric method for determination of excitation-induced changes in the potential surface of molecules. The calculations confirmed the high efficiency of both the parametric method and the new technique.

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. F. Dushinsky,Acta Physicochimica USSR,7, 551–557 (1937).

    Google Scholar 

  2. L. A. Gribov, V. I. Baranov, and B. K. Novosadov,Methods for Calculating Vibronic Spectra of Polyatomic Molecules [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  3. V. I. Baranov and D. Yu. Zelentsov,J. Mol. Struct,328, 179–188 (1994); V. I. Baranov and D. Yu. Zelentsov,Zh. Strukt. Khim.,35, No. 2, 16–23 (1994).

    Article  CAS  Google Scholar 

  4. V. I. Baranov, L. A. Gribov, and D. Yu. Zelentsov,J. Mol. Struct,376, 475–493 (1996).

    Article  Google Scholar 

  5. T. E. Sharp and H. N. Rosenstock,J. Chem. Phys.,41, 3453–3463 (1964).

    Article  CAS  Google Scholar 

  6. V. I. Baranov, L. A. Gribov, and V. O. Jenger,Zh. Strukt. Khim.,37, No. 3, 419–431 (1996); V. I. Baranov, V. O. Jenger, and D. Yu. Zelentsov,ibid.,37, No. 6, 1030–1038 (1996).

    Google Scholar 

  7. V. I. Baranov, L. A. Gribov, V. O. Jenger, and D. Yu. Zelentsov,ibid.,37, No. 6, 1039–1048 (1996).

    Google Scholar 

  8. S. A. Cosgrove, M. A. Guite, T. B. Burnell, and R. L. Christensen,J. Phys. Chem.,94, 8118–8124 (1990).

    Article  CAS  Google Scholar 

  9. L. A. Gribov and V. A. Dementiev,Methods and Algorithms for Calculations in the Theory of Vibrational Spectra of Molecules [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  10. V. I. Baranov and L. A. Gribov,Zh. Prikl. Spektrosk.,48, No. 6, 341–343 (1988); V. I. Baranov and L. A. Gribov,Opt Spektrosk.,67, No. 1, 32–38 (1989); L. A. Gribov and V. I. Baranov,J. Mol. Struct,224, 45–60 (1990).

    Google Scholar 

  11. W. G. Bouwman, A. C. Jones, D. Phillips, et al.,J. Phys. Chem.,94, 3926–3930 (1990).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromZhumal Strukturnoi Khimii, Vol. 38, No. 2, pp. 240–247, March–April, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zelentsov, D.Y. Improved method for calculating vibronic spectra of complex molecules. J Struct Chem 38, 195–200 (1997). https://doi.org/10.1007/BF02762645

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02762645

Keywords

Navigation