Difference between revisions of "Eigensymmetry"
From Online Dictionary of Crystallography
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| − | <Font color="blue"> Symétrie propre</Font> (''Fr'') | + | <Font color="blue"> Symétrie propre</Font> (''Fr''); <Font color="red"> Eigensymmetrie</Font> (''Ge''); <Font color="black"> Simmetria propria</Font> (''It''); <Font color="purple"> 固有対称性 </Font> (''Ja''); <Font color="green">Simetría propia</font> (''Sp''). |
== Definition == | == Definition == | ||
Revision as of 17:35, 8 November 2017
Symétrie propre (Fr); Eigensymmetrie (Ge); Simmetria propria (It); 固有対称性 (Ja); Simetría propia (Sp).
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