Space Group Symmetry

  • Hugo Friedrich Franzen


Thus far the treatment of symmetry has been restricted to the proper rotational and reflection symmetries of space lattices. The discussion of the symmetry of crystalline solids does not end with the presentation of the 14 Bravais lattice types because the symmetry of a solid is the symmetry of its three-dimensionally periodic particle density, and there are more symmetries available to such periodic patterns than to the lattices which characterize their translational symmetries. This is because of the existence of symmetry operations appropriate to such patterns but not to their lattices, for example the pattern need not be centrosymmetric while the lattice must be.


Crystalline Solid Symmetry Operation Symmetry Element Lattice Symmetry Reflection Plane 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Hugo Friedrich Franzen
    • 1
  1. 1.Ames Laboratory-DOE and Department of Chemistry Energy & Mineral Resources Research InstituteIowa State UniversityAmesUSA

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