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Subperiodic group

From Online Dictionary of Crystallography

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Groupe sous-périodique (Fr); Gruppo subperiodico (It).


A subperiodic group is a group possessing translational periodicity in a subspace of the space where the group is acting. Subperiodic groups in two and three-dimensional spaces are classified in:

  • frieze groups: two-dimensional groups with one-dimensional translations;
  • rod groups: three-dimensional groups with one-dimensional translations;
  • layer groups: three-dimensional groups with two-dimensional translations.


See also

International Tables of Crystallography, Volume E