Difference between revisions of "Eigensymmetry"
From Online Dictionary of Crystallography
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| − | <Font color="blue"> Symétrie propre </Font> ('' | + | <Font color="blue"> Symétrie propre (''Fr'')</Font>. <Font color="red"> Eigensymmetrie (''Ge'')</Font>. <Font color="black"> Simmetria propria (''It'')</Font>. <Font color="purple"> 固有対称性 </Font> (''Ja''). |
== Definition == | == Definition == | ||
Revision as of 10:24, 11 October 2007
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. For instance, 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 crystalline 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