# Difference between revisions of "Eigensymmetry"

### From Online Dictionary of Crystallography

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== See also == | == See also == | ||

− | + | *Sections 3.2.1.2.2 and 3.4.1.3 of ''International Tables of Crystallography, Volume A'', 6<sup>th</sup> edition | |

− | + | *Chapter 3.3 of ''International Tables of Crystallography, Volume D'' | |

− | Chapter 3.3 of ''International Tables of Crystallography, Volume D'' | ||

[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] |

## Revision as of 15:36, 10 April 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

- Sections 3.2.1.2.2 and 3.4.1.3 of
*International Tables of Crystallography, Volume A*, 6^{th}edition - Chapter 3.3 of
*International Tables of Crystallography, Volume D*