Abstract
The construction algorithm is proposed for the internal rotation coordinates in polyatomic molecules. It is based on the properties of the matrix of kinematic coefficients when an excessive system of natural coordinates is introduced. The approximations providing the separation of variables are considered. The exact form of the kinetic energy operator is given.
References
L. A. Gribov, From the Theory of Spectra to the Theory of Chemical Transformations [in Russian], Izd. Editorial URSS, Moscow (2001).
W. J. Orville-Thomas (ed.), Internal Rotation in Molecules, Wiley, London (1974).
D. G. Lister, Internal Rotation and Inversion: An Introduction to Large Amplitude Motions in Molecules, Academic Press, New York (1978).
K. San-Ichiro and M. Mizushima, Structure of Molecules and Internal Rotation, Academic Press (1954).
M. V. Vol’kenshtein, L. A. Gribov, et al., Molecule Vibrations [in Russian], Nauka, Moscow (1972).
L. A. Gribov and V. A. Dement’ev, Kristallografiya, 49, No. 5, 1–8 (2004).
L. A. Gribov and A. I. Pavlyuchko, Variational Methods for the Solution of Anharmonic Problems in the Theory of Vibrational Spectra of Molecules [in Russian], Nauka, Moscow (1998).
L. A. Gribov and V. A. Dement’ev, Methods and Algorithms of Calculations in the Theory of Vibrational Spectra of Molecules [in Russian], Nauka, Moscow (1981).
L. A. Gribov and W. J. Orville-Thomas, Theory and Methods of Calculation of Molecular Spectra, Wiley, Chichester, New York (1988).
Author information
Authors and Affiliations
Additional information
Original Russian Text Copyright © 2007 by L. A. Gribov and I. V. Mikhailov
__________
Translated from Zhurnal Strukturnoi Khimii, Vol. 48, No.1, pp.159–162, January–February, 2007.
Rights and permissions
About this article
Cite this article
Gribov, L.A., Mikhailov, I.V. Separation of variables and search algorithm for internal rotation coordinates and kinematic coefficients in the theory of nuclear motions in polyatomic molecules. J Struct Chem 48, 161–165 (2007). https://doi.org/10.1007/s10947-007-0024-x
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10947-007-0024-x