Difference between revisions of "Subperiodic group"
From Online Dictionary of Crystallography
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| − | <font color="blue">Groupe sous-périodique </font> (''Fr'') | + | <font color="blue">Groupe sous-périodique</font> (''Fr''). <font color="black">Gruppo subperiodico</font> (''It''). <font color="purple">亜周期群</font> (''Ja'') |
| − | A '''subperiodic group''' is a group of [[Euclidean mapping]]s such that its translations form a lattice in a proper subspace of the space on which it acts. | + | A '''subperiodic group''' is a [[group]] of [[Euclidean mapping]]s such that its translations form a [[lattice]] in a proper subspace of the space on which it acts. |
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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: | 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: | ||
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==See also== | ==See also== | ||
| − | + | *International Tables of Crystallography, Volume E | |
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
Revision as of 13:59, 20 March 2015
Groupe sous-périodique (Fr). Gruppo subperiodico (It). 亜周期群 (Ja)
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 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