Difference between revisions of "Eigensymmetry"
From Online Dictionary of Crystallography
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== Definition == | == Definition == | ||
| − | The ''eigensymmetry'', or ''inherent symmetry'', of a crystal is the point group or space group of a crystal, irrespective of its orientation and location in space | + | The ''eigensymmetry'', or ''inherent symmetry'', of a crystal is the point group or space group of a crystal, irrespective of its orientation and location in space. |
| − | In morphology, the eigensymmetry is the full symmetry of a | + | == Examples == |
| + | *The [[space group]] of a [[crystal pattern|crystal structure]] is the intersection of the eigensymmetries of the [[crystallographic orbit]]s building the structure. | ||
| + | *All individuals of a [[twin|twinned crystal]] have the same (or the enantiomorphic) eigensymmetry but may exhibit different orientations. The orientations of each of two twin components are related by a [[twin operation]] which cannot be part of the eigensymmetry. | ||
| + | *In morphology, the eigensymmetry is the full symmetry of a [[form|crystal form]], considered as a polyhedron by itself. The eigensymmetry point group is either the generating point group itself or a supergroup of it. | ||
== See also == | == See also == | ||
Revision as of 13:39, 28 February 2015
Symétrie propre (Fr). Eigensymmetrie (Ge). Simmetria propria (It). 固有対称性 (Ja).
Definition
The eigensymmetry, or inherent symmetry, of a crystal is the point group or space group of a crystal, irrespective of its orientation and location in space.
Examples
- The space group of a crystal structure is the intersection of the eigensymmetries of the crystallographic orbits building the structure.
- All individuals of a twinned crystal have the same (or the enantiomorphic) eigensymmetry but may exhibit different orientations. The orientations of each of two twin components are related by a twin operation which cannot be part of the eigensymmetry.
- In morphology, the eigensymmetry is the full symmetry of a crystal form, considered as a polyhedron by itself. The eigensymmetry point group is either the generating point group itself or a supergroup of it.
See also
Chapter 10.1 of International Tables of Crystallography, Volume A
Chapter 3.3 of International Tables of Crystallography, Volume D