Abstract
The restrictions imposed when defining separate types of internal motions in rigid and nonrigid molecules are considered. These restrictions are based on the symmetry properties of intramolecular dynamics. It is shown that the violation of these restrictions gives rise to physically incorrect consequences.
Similar content being viewed by others
References
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon Press, Oxford, 1977, 3rd ed.).
A. S. Davydov, Quantum Mechanics, 2nd ed. (Nauka, Moscow, 1973; Pergamon Press, Oxford, 1976).
P. A. Braun and A. A. Kiselev, Introduction to the Theory of Molecular Spectra (Leningr. Gos. Univ., Leningrad, 1983) [in Russian].
A. V. Burenin, Usp. Fiz. Nauk 176, 847 (2006).
A. V. Burenin, Symmetry of Quantum Intramolecular Dynamics (IPF RAN, Novgorod, 2006) [in Russian].
C. Eckart, Phys. Rev. 47, 552 (1935).
P. R. Bunker and P. Jensen, Molecular Symmetry and Spectroscopy (NRC Research Press, Ottawa, 1998; Mir, Moscow, 2004).
Yu. S. Makushkin and V. G. Tyuterev, Perturbation Methods and Effective Hamiltonians in Molecular Spectroscopy (Nauka, Novosibirsk, 1984) [in Russian].
A. O. Barut and R. Raczka, Theory of Group Represen-tations and Applications (Polish Scientific Publishers, Warsaw, 1977; Mir, Moscow, 1980), Vol. 2.
I. B. Bersuker and V. Z. Polinger, Vibronic Interactions in Molecules and Crystals (Nauka, Moscow, 1983; Springer-Verlag, New York, 1989).
I. B. Bersuker, The Jahn-Teller Effect and Vibronic Interactions in Modern Chemistry (Nauka, Moscow, 1987; Plenum, New York, 1984).
L. A. Gribov, V. I. Baranov, and D. Yu. Zelentsov, Electronic-Vibrational Spectra of Polyatomic Molecules: The Theory and Calculation Methods (Nauka, Moscow, 1997) [in Russian].
O. L. Polyansky, A. G. Graszar, S. V. Shirin, et al., Science 299, 539 (2003).
O. L. Polyansky and J. Tennyson, J. Chem. Phys. 110, 5056 (1998).
I. G. Kaplan, Symmetry of Many-Electron Systems (Nauka, Moscow, 1969; Academic Press, New York, 1975).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Gosteortekhizdat, Moscow, 1948) [in Russian].
H. C. Longuet-Higgins, Mol. Phys. 6(5), 445 (1963).
M. D. Harmony, V. W. Laurie, R. L. Kuczkowski, et al., J. Phys. Chem. Ref. Data 8(3), 619 (1979).
Internal Rotation in Molecules, Ed. by W. J. Orville-Thomas (Wiley, London, 1974; Mir, Moscow, 1977).
A. V. Burenin, Opt. Spektrosk. 100, 535 (2006).
J. P. Elliott and P. G. Dawber, Symmetry in Physics (Macmillan, London, 1979; Mir, Moscow, 1983), Vol. 2.
L. M. Sverdlov, M. A. Kovner, and E. P. Krainov (Kraĭnov), Vibrational Spectra of Polyatomic Molecules (Nauka, Moscow, 1970; Wiley, New York, 1974).
A. V. Burenin, Usp. Fiz. Nauk 172(7), 813 (2002).
A. V. Burenin, Opt. Spektrosk. 105, 190 (2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Burenin, 2009, published in Optika i Spektroskopiya, 2009, Vol. 107, No. 5, pp. 709–715.
Rights and permissions
About this article
Cite this article
Burenin, A.V. On the definition of intramolecular motions. Opt. Spectrosc. 107, 669–675 (2009). https://doi.org/10.1134/S0030400X09110010
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X09110010