Difference between revisions of "Subperiodic group"
From Online Dictionary of Crystallography
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*''International Tables for Crystallography, Volume E'' | *''International Tables for Crystallography, Volume E'' | ||
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
Latest revision as of 15:08, 17 February 2021
Groupe sous-périodique (Fr). Subperiodische Gruppe (Ge). Gruppo subperiodico (It). 亜周期群 (Ja). Groupo subperiódico (Sp).
A subperiodic group is a group of Euclidean mappings such that its translations form a lattice in a proper subspace of the space on which it acts.
A crystallographic subperiodic group in n-dimensional space is a subperiodic group for which the group of linear parts is a crystallographic point group of n-dimensional space. The crystallographic subperiodic groups in two and three-dimensional space are classified in:
- frieze groups: 7 two-dimensional types of groups with one-dimensional translations;
- rod groups: 75 three-dimensional types of groups with one-dimensional translations;
- layer groups: 80 three-dimensional types of groups with two-dimensional translations.
See also
- subperiodic crystal
- International Tables for Crystallography, Volume E