Site Symmetry in Permutation — Inversion Symmetry Groups of Nonrigid Crystals

  • Robert A. Evarestov
  • Vyacheslav P. Smirnov
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 108)


A crystal is called nonrigid if some of its nuclei show motions relative to the crystal as a whole differing from small vibrations, for example, rotations, inversion motions, or large amplitude vibrations. There are a great number of such crystals [10.1]. For example, molecules in plastic crystals show free or hindered rotations. These rotations can be observed, for instance, in NMR spectra: one observes line narrowing when the molecules start to rotate.


Symmetry Group Initial Configuration Semidirect Product Site Symmetry Invariant Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 10.1
    G.N. Parsonage, L.A. Stavely: Disorder in Crystals (Clarendon, Oxford 1978)Google Scholar
  2. 10.2
    H.C. Longuet-Higgins: Mol. Phys. 6, 445 (1963)MathSciNetADSCrossRefGoogle Scholar
  3. 10.3
    P.R. Bunker: Molecular Symmetry and Spectroscopy (Academic, New York 1979)Google Scholar
  4. 10.4
    A.G. Zilich, A.A. Kiselev, V.P. Smimov: Fiz. Tverd. Tela 23, 808 (1981) [English transl.: Sov. Phys.—Solid State 23, 459 (1981)]Google Scholar
  5. 10.5
    A.A. Korolev, V.P. Smimov: Phys. Status Solidi (b) 129,41 (1985)ADSCrossRefGoogle Scholar
  6. 10.6
    V.A. Koptsik: J. Phys. C 16, 1 (1983)ADSCrossRefGoogle Scholar
  7. 10.7
    M. Yvinec, R.M. Pick: J. de Phys. 41,1045 (1980)CrossRefGoogle Scholar
  8. 10.8
    K.R. Rao, S.F. Trevelino: J. Chem. Phys. 53, 4645 (1970)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Robert A. Evarestov
    • 1
  • Vyacheslav P. Smirnov
    • 2
  1. 1.Department of ChemistrySt. Petersburg University St. PeterhoffSt. PetersburgRussia
  2. 2.Department of Theoretical PhysicsInstitute of Fine Mechanics and OpticsSt. PetersburgRussia

Personalised recommendations