Difference between revisions of "Eigensymmetry"
From Online Dictionary of Crystallography
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== See also == | == See also == | ||
| − | * | + | *Chapters 3.2.1.2.2 and 3.4.1.3 of ''International Tables for Crystallography, Volume A'', 6th edition |
| − | *Chapter 3.3 of ''International Tables | + | *Chapter 3.3 of ''International Tables for Crystallography, Volume D'' |
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
Revision as of 13:50, 13 May 2017
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
- Chapters 3.2.1.2.2 and 3.4.1.3 of International Tables for Crystallography, Volume A, 6th edition
- Chapter 3.3 of International Tables for Crystallography, Volume D