Abstract
It is shown that the success of progressive stiffness when applied to tetrahedral XY4 molecules is due to the existence of three approximate characteristics. On separating the group of all angular coordinates for the υ4(F2) vibrations, the noncharacteristic frequency and form coefficients a and βs are approximately equal to zero; on separating the group of all the valence coordinates for the υ3(F2) vibrations, α is approximately zero.
Similar content being viewed by others
References
M. Larnaudie, J. phys. et radium, 15, 365, 1954.
I. V. Orlova and I. N. Godnev, Opt. i spektr., 6, 447, 1959.
I. N. Godnev, A. M. Aleksandrovskaya, and I. V. Rigina, Opt. i spektr., 7, 271, 1959.
A. M. Aleksandrovskaya and I. N. Godnev, Opt. i spektr., 9, 273, 1960.
I. N. Godnev and A. M. Aleksandrovskaya, Opt. i spektr., 10, 27, 1961.
L. A. Woodward and M. J. Taylor, J. Chem. Soc., Nov. 4473, 1960.
J. K. Wilmshurst, J. Mol. Spectr., 5, 343, 1960.
A. Büchler, J. B. Berkowitz-Mattuck and Donald H. Dugre, J. Chem. Phys., 34, 2202, 1961.
L. S. Mayants, Dissertation, Trudy fizicheskogo instituta, 5, 1950.
L. S. Mayants, Theory and Calculation of Molecular Vibration [in Russian], Moscow, 1961.
M. V. Vol'kenshtein, M. A. El'yashevich, and B. I. Stepanov, Molecular Vibrations [in Russian], 1, GITTL, Moscow, 1949.
V. N. Vinogradova and I. N. Godnev, Symposium 2, Molecular Spectroscopy [in Russian], 76, Leningrad, 1963.
A. G. Kurosh, A Course in Higher Algebra [in Russian], GITTL, Moscow, 1956.
B. I. Stepanov, ZhETF, 15, 43, 1945.
Y. Morino, Y. Nakamura and T. Iijima, J. Chem. Phys., 32, 643, 1960.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vinogradova, V.N., Godnev, I.N. The progressive-stiffness method applied to XY4 molecules in the light of the theory of characteristic frequencies. Soviet Physics Journal 8, 43–46 (1965). https://doi.org/10.1007/BF00823736
Issue Date:
DOI: https://doi.org/10.1007/BF00823736