# Twinning by inversion

### From Online Dictionary of Crystallography

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<Font color="blue"> Maclage par inversion </Font> (''Fr''). <Font color="red"> Inversionsverzwilligung </Font> (''Ge''). <Font color="black"> Geminazione per inversione </Font> (''It''). <Font color="purple"> 反転双晶化 </Font> (''Ja''). | <Font color="blue"> Maclage par inversion </Font> (''Fr''). <Font color="red"> Inversionsverzwilligung </Font> (''Ge''). <Font color="black"> Geminazione per inversione </Font> (''It''). <Font color="purple"> 反転双晶化 </Font> (''Ja''). | ||

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The symmetry operation relating pairs of domain structures twinned by inversion may be represented by inversion through a point or by some other isometry equivalent to inversion under the point symmetry group of the domain structure. A two-domain-structure twin that is twinned by inversion is called an ''[[inversion twin]]'', but this term is not appropriate when there are more than two domain structures. Twinning by inversion can only occur in non-centrosymmetric structures. | The symmetry operation relating pairs of domain structures twinned by inversion may be represented by inversion through a point or by some other isometry equivalent to inversion under the point symmetry group of the domain structure. A two-domain-structure twin that is twinned by inversion is called an ''[[inversion twin]]'', but this term is not appropriate when there are more than two domain structures. Twinning by inversion can only occur in non-centrosymmetric structures. | ||

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

- | + | *Chapter 1.3 of ''International Tables for Crystallography, Volume C'' | |

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

[[Category:Twinning]] | [[Category:Twinning]] |

## Revision as of 15:12, 17 May 2017

Maclage par inversion (*Fr*). Inversionsverzwilligung (*Ge*). Geminazione per inversione (*It*). 反転双晶化 (*Ja*).

The symmetry operation relating pairs of domain structures twinned by inversion may be represented by inversion through a point or by some other isometry equivalent to inversion under the point symmetry group of the domain structure. A two-domain-structure twin that is twinned by inversion is called an *inversion twin*, but this term is not appropriate when there are more than two domain structures. Twinning by inversion can only occur in non-centrosymmetric structures.

## See also

- Chapter 1.3 of
*International Tables for Crystallography, Volume C* - Chapter 3.3 of
*International Tables for Crystallography, Volume D*