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'').  
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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="green">Macla por inversión</font> (''Sp'').
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== Definition ==
 
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 ==
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Section 1.3 of ''International Tables of Crystallography, Volume C''<br>
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*Chapter 1.3 of ''International Tables for Crystallography, Volume C''
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Section 3.3 of ''International Tables of Crystallography, Volume D''<br>
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*Chapter 3.3 of ''International Tables for Crystallography, Volume D''
[[Category:Twinning]]
[[Category:Twinning]]

Latest revision as of 14:27, 20 November 2017

Maclage par inversion (Fr). Inversionsverzwilligung (Ge). Geminazione per inversione (It). 反転双晶化 (Ja). Macla por inversión (Sp).


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