Molecular Vibrations

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 78)


Elastic vibration of a molecule is another area where point groups and their representations find good applications. The symmetric structure of molecules allows classification of normal vibration modes according to irreducible representations of the symmetry group of the molecule without explicit knowledge of the force constants. In this chapter, we begin with the elementary theory of normal vibration modes, then study how group representation theory can be applied to the normal modes, and finally consider selection rules associated with infrared and Raman processes as well as interaction of electrons with atomic displacements.


Normal Mode Irreducible Representation Atomic Displacement Irreducible Character Adiabatic Approximation 
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  1. 10.1
    T. P. Wilson: J. Chem. Phys. 11, 369 (1943)ADSCrossRefGoogle Scholar
  2. 10.2
    H. A. Jahn, E. Teller: Proc. R. Soc. London A 161, 220 (1937)ADSCrossRefGoogle Scholar
  3. 10.3
    E. Ruch, A. Schònhofer: Theor. Chim. Acta 3, 291 (1965)CrossRefGoogle Scholar
  4. 10.4
    L. D. Landau, E. M. Lifshitz:Quantum Mechanics, 3rd ed. (Pergamon, Oxford 1976) p. 408Google Scholar
  5. 10.5
    E. I. Blount: J. Math. Phys. 12, 1890 (1971)MathSciNetADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  1. 1.Japan Women’s UniversityBunkyo-ku, Tokyo 112Japan
  2. 2.Department of Physics, School of Science and TechnologyMeiji UniversityTama-ku, Kawasaki 214Japan

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