Abstract
A variational method based on the determination of rotation as a state with a constant angular momentum has been proposed for calculating rovibrational energy levels of a polyatomic molecule. By using this method, energy level values can be determined for any vibrational state with arbitrary values of vibrational quantum numbers. This makes it possible to calculate the rovibrational energy levels of the “hot” molecules.
References
El'yashevich, M.A., Tr. Gos. Opt. Inst., 1938, vol. 12, no. 106, p.3.
Eckart, C., Phys. Rev., 1934, vol. 46, no. 5, p.383.
Eckart, C., Phys. Rev., 1935, vol. 47, no. 7, p.552.
Louck, J.D., J. Mol. Spectrosc., 1976, vol. 61, no. 1, p. 107.
Kjaergaard, H.G. and Mortensen, O.S., Am. J. Phys., 1990, vol. 58, no. 4, p.344.
Meyer, R. and Gunthard, Hs.H., J. Chem. Phys., 1968, vol. 49, no. 4, p. 1510.
Pickett, H.M., J. Chem. Phys., 1972, vol. 56, no. 4, p. 1715.
Tennyson, J. and Sutcliffe, B.T., J. Chem. Phys., 1982, vol. 77, no. 8, p. 4061.
Tennyson, J. and Sutcliffe, B.T., J. Mol. Spectrosc., 1983, vol. 101, no. 1, p. 71.
Tennyson, J. and Sutcliffe, B.T., J. Chem. Phys., 1983, vol. 79, no. 1, p. 43.
Yurchenko, S.N., Thiel, W., and Jensen, P., J. Mol. Spectrosc., 2007, vol. 245, no. 2, p. 126.
Pavlyuchko, A.I., J. Struct. Chem., 1995, vol. 36, no. 2, p. 210.
Vol'kenshtein, M.V., Gribov, L.A., El’yashevich, M.A., and Stepanov, B.I., Kolebaniya molekul (Vibrations of Molecules), Moscow: Nauka, 1972.
Gribov, L.A., Kolebaniya molekul (Vibrations of Molecules), Moscow: Knizhnyi Dom LIBROKOM, 2009.
Gribov, L.A., Dokl. Phys., 2016, vol. 61, no. 3, p.105.
Gribov, L.A. and Pavlyuchko, A.I., Variatsionnye metody resheniya angarmonicheskikh zadach v teorii kolebatel’nykh spektrov molekul (Variational Methods for Solving Anharmonic Problems in the Theory of Vibrational Spectra of Molecules), Moscow: Nauka, 1998.
Gribov, L.A. and Prokof’eva, N.I., J. Struct. Chem., 2015, vol. 56, no. 4, p. 752.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L.A. Gribov, 2016, published in Khimiya Vysokikh Energii, 2016, Vol. 50, No. 5, pp. 439—442.
Rights and permissions
About this article
Cite this article
Gribov, L.A. Hamiltonian for rovibrational spectra of “hot” molecules. High Energy Chem 50, 416–418 (2016). https://doi.org/10.1134/S0018143916050106
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018143916050106