Difference between revisions of "Space group"
From Online Dictionary of Crystallography
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*[[Fixed-point-free space groups]] | *[[Fixed-point-free space groups]] | ||
*[[Symmorphic space groups]] | *[[Symmorphic space groups]] | ||
| − | * | + | *Section 1.3 of ''International Tables for Crystallography, Volume A'', 6<sup>th</sup> edition |
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
Revision as of 16:50, 11 April 2017
Groupe d'espace (Fr); Raumgruppe (Ge); Gruppo spaziale (It); 空間群 (Ja).
The symmetry group of a three-dimensional crystal pattern is called its space group. In E2, the symmetry group of a two-dimensional crystal pattern is called its plane group. In E1, the symmetry group of a one-dimensional crystal pattern is called its line group.
To each crystal pattern belongs an infinite set of translations T, which are symmetry operations of that pattern. The set of all T forms a group known as the translation subgroup T of the space group G of the crystal pattern. T is an Abelian group and a normal subgroup of the space group.
See also
- Fixed-point-free space groups
- Symmorphic space groups
- Section 1.3 of International Tables for Crystallography, Volume A, 6th edition