Normal vibrations of crystal lattices: application of group theory

  • E. V. Chelam


A group theoretical method to deal with the harmonic vibrations of a general crystalline lattice is indicated in this paper. Sir C. V. Raman’s theory of lattice vibrations3 is the basis of the work and it is indicated how the normal modes, frequencies, their degeneracies, etc., can be rigorously derived. Applications of this work to specific problems are given in another paper in this symposium.


Normal Mode Irreducible Representation Point Group Normal Vibration Symmetry Operation 


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  1. 1.
    SeitzAnn. of Math., 1936,37, 17.CrossRefMathSciNetGoogle Scholar
  2. 2.
    CliffordIbid., 1937,38,533.CrossRefMathSciNetGoogle Scholar
  3. 3.
    RamanProc. Ind. Acad. Sc., A, 1943,18, 237.Google Scholar

Copyright information

© Indian Academy of Sciences 1943

Authors and Affiliations

  • E. V. Chelam
    • 1
  1. 1.Department of PhysicsIndian Insitute of ScienceBangalore

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