Abstract
Within the framework of an algebraic perturbation method for eigenvalues and eigenvectors and using a theory of projectors, the structure parameters of excited molecular vibrations are investigated. To do this, formulas for the higher‐order elements of the vibration‐form tensor have been obtained on the basis of which and in conformity with the order of the perturbation theory the changes in the intramolecular dynamic parameters and in the coefficients of the kinematic interaction between the excited vibrational states are determined.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
E. B. Wilson, J. C. Decius, and P. Cross, Molecular Vibrations [Russian translation], Moscow (1960).
L. M. Sverdlov, M. A. Kovner, and E. P. Krainov, The Vibrational Spectra of Multiatomic Molecules [in Russian], Moscow (1970).
M. V. Volkenshtein, L. A. Gribov, M. A. El'yashevich, and B. I. Stepanov, Molecular Vibrations [in Russian], Moscow (1972).
P. Lancaster, Theory of Matrices [Russian translation], Moscow (1982).
K. G. Valeev, Splitting of the Spectrum of Matrices [in Russian], Kiev (1986).
M. D. Él'kin, S. P. Gavva, and L. M. Sverdlov, Opt. Spektrosk., 51, Issue 4, 728–730 (1981).
A. R. Hoy, I. M. Mills, and G. Strey, Mol. Phys., 24, No. 6, 1265–1290 (1972).
D. H. Wilkinson, The Algebraic Eigenvalue Problem [Russian translation], Moscow (1970).
A. S. Deif, J. Comput. Appl. Math., 3, 403–412 (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gavva, S.P. Coefficients of Kinematic Interaction between Excited Vibrational States. Journal of Applied Spectroscopy 69, 140–144 (2002). https://doi.org/10.1023/A:1015340531907
Issue Date:
DOI: https://doi.org/10.1023/A:1015340531907