Abstract
An analytical expression is given for the mixing parameter that characterizes the vibrational eigen vector matrix in the second-order case based on the criterion of minimization of average bending energy of molecular vibration. The expression, which is derived on the assumption that the parameter is small, contains only molecular geometry and the two normal frequencies of the vibrational species. Bent symmetric XY2 molecular system is treated as an example and the calculated values of the parameter are in good agreement with the standard results.
Similar content being viewed by others
References
Alix A J P, Eysel H H, Jordanov B, Kebabcioglu R, Mohan N and Muller A 1975J. Mol. Struct. 27 1
Ananthakrishnan T R, Girijavallabhan C P and Aruldhas G 1973aJ. Mol. Struct. 16 149
Ananthakrishnan T R, Girijavallabhan C P and Aruldhas G 1973bIndian J. Pure. Appl. Phys. 11 649
Ananthakrishnan T R, Girijavallabhan C P and Babu Joseph K 1976Z. Naturforsch. A31 1009
Arakawa E T and Nielson A H 1958J. Mol. Spectrosc. 2 413
Girijavallabhan C P, Sasidharan Nair S and Babu Joseph K 1976J. Mol. Spectrosc. 61 177
Girijavallabhan C P, Babu Joseph K and Sasidharan Nair S 1977J. Mol. Spectrosc. 65 142
Kivelson D 1954J. Chem. Phys. 22 704
Krishna Pillai M G and Curl R F 1962J. Chem. Phys. 37 2921
Morino Y and Saito S 1966J. Mol. Spectrosc. 19 435
Muller A, Mohan N and Heidborn U 1971Z. Naturforsch. A27 129
Takeo H, Hirota E and Morino Y 1970J. Mol. Spectrosc. 34 370
Thirugnanasambandam P and Mohan S 1974J. Chem. Phys. 61 470
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Girijavallabhan, C.P., Paul, C.M. A note on obtaining vibrational mixing parameter from average bending energy criterion. Pramana - J Phys 17, 193–195 (1981). https://doi.org/10.1007/BF02875434
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02875434