Tensorial properties of incommensurate crystals

  • A. Janner
  • B. W. van Beest
Session IV — Crystal Groups and Their Representations
Part of the Lecture Notes in Physics book series (LNP, volume 180)


The problem of characterizing the symmetry of tensorfields describing physical properties of incommensurate crystals is discussed in relation with the covariance group of the physical phenomena involved, and the superspace group symmetry of the crystals considered.

The invariance with respect to superspace group of tensorfields defined in the superpace (which is (3+d)-dimensional euclidean) leads to necessary and sufficient conditions for the physical tensorfields to reflect crystal symmetry in the incommensurate case also.


Point Group Symmetry Condition Covariance Group Space Group Symmetry Tensorial Property 
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    P.M. de Wolff, Acta Cryst A30 (1974), 777Google Scholar
  2. [2]
    A. Janner and T. Janssen, Phys. Rev. B15 (1977), 643Google Scholar
  3. [3]
    A. Janner and T. Janssen, Physics 99 (1979), 47Google Scholar
  4. [4]
    A. Janner, Proc. of the Tenth Int. Conf. on Group Theoretical Methods in Physics, Canterbury, 1981. To appear in Physica 114A.Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • A. Janner
    • 1
  • B. W. van Beest
    • 1
  1. 1.Institute for Theoretical PhysicsCatholic University of NijmegenED Nijmegen

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