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The Crystallographic Point Groups

  • K. N. Srinivasa Rao
Part of the Texts and Readings in Physical Sciences book series

Abstract

A crystallographic point group is a finite-dimensional group G of rotations and reflections each of which is a symmetry operation of a crystal sending it into itself with one fixed point through which pass the axes of rotations and planes of reflections. Thus G is a finite-dimensional subgroup of the Full Orthogonal Group O(3) consisting of 3rd order orthogonal matrices with determinants ±1. We note that the group D3 of symmetries of an equilateral triangle discussed in example 5 of section 1–2 is itself a crystallographic point group consisting only of rotations.

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References

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Copyright information

© Hindustan Book Agency 2006

Authors and Affiliations

  • K. N. Srinivasa Rao
    • 1
  1. 1.BangaloreIndia

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