The Crystallographic Point Groups

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


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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  1. 1.
    Morton Hamermesh, Group theory and its application to physical problems, New York, Dover Publications, 1989.zbMATHGoogle Scholar
  2. 2.
    F.D. Murnaghan, The Theory of group representations, New York, Dover Publications, 1963, (c1938).zbMATHGoogle Scholar
  3. 3.
    M. Tinkham, Group Theory and Quantum Mechanics, New York, Dover Publications, 2003.zbMATHGoogle Scholar
  4. 4.
    H.J. Zassenhaurs, The Theory of Groups, Second Edition, Chelsea Pub. Co., New York, 1958.Google Scholar

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© Hindustan Book Agency 2006

Authors and Affiliations

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

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