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Difference between revisions of "Subperiodic group"

From Online Dictionary of Crystallography

 
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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:
 
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;
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*'''frieze groups''': 7 two-dimensional groups with one-dimensional translations;
*'''rod groups''': three-dimensional groups with one-dimensional translations;
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*'''rod groups''': 75 three-dimensional groups with one-dimensional translations;
*'''layer groups''': three-dimensional groups with two-dimensional translations.
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*'''layer groups''': 80 three-dimensional groups with two-dimensional translations.
  
  

Revision as of 11:32, 6 January 2009

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: 7 two-dimensional groups with one-dimensional translations;
  • rod groups: 75 three-dimensional groups with one-dimensional translations;
  • layer groups: 80 three-dimensional groups with two-dimensional translations.


See also

International Tables of Crystallography, Volume E