Difference between revisions of "Twinning by merohedry"
From Online Dictionary of Crystallography
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| − | <Font color ="blue"> Maclage par mériédrie </Font> (''Fr''). <Font color="green"> Macla por meriedria </Font> (''Sp''). <Font color="black"> Geminazione per meroedria</Font>(''It''). <Font color="purple"> 欠面双晶</Font>(''Ja'') | + | <Font color ="blue"> Maclage par mériédrie </Font> (''Fr''). <Font color="green"> Macla por meriedria </Font> (''Sp''). <Font color="black"> Geminazione per meroedria</Font>(''It''). <Font color="purple"> 欠面双晶</Font>(''Ja''). |
| + | The twin operation belongs to the point group of the lattice but not to the point group of the crystal. Therefore, the point group of the crystal must be a subgroup of the point group of the lattice, ''i.e.'' the crystal shows only a part (''[[merohedry]]'') of the symmetry elements belonging to the its lattice which, instead, shows ''[[holohedry]]'' (complete symmetry). The twinning element of symmetry may (''Class I of twins by merohedry'') or may not belong to the Laue class of the crystal (''Class II of twins by merohedry''): consequences are discussed under ''solving the crystal structure of twins''. | ||
| + | == Examples == | ||
| − | + | Class I: in crystals with point group 2 (Laue group 2/''m'') the mirror plane ''m'' acts as twinning operator . | |
| − | |||
Class II: in crystals with point group 4 (Laue group 4/''m'') a mirror plane ''m'' parallel to the foufold axis 4 acts as twinning operator. | Class II: in crystals with point group 4 (Laue group 4/''m'') a mirror plane ''m'' parallel to the foufold axis 4 acts as twinning operator. | ||
== See also == | == See also == | ||
| − | Chapter 3.3 of ''International Tables | + | Chapter 3.3 of ''International Tables for Crystallography, Volume D'' |
[[Category:Twinning]] | [[Category:Twinning]] | ||
Revision as of 15:16, 17 May 2017
Maclage par mériédrie (Fr). Macla por meriedria (Sp). Geminazione per meroedria(It). 欠面双晶(Ja).
The twin operation belongs to the point group of the lattice but not to the point group of the crystal. Therefore, the point group of the crystal must be a subgroup of the point group of the lattice, i.e. the crystal shows only a part (merohedry) of the symmetry elements belonging to the its lattice which, instead, shows holohedry (complete symmetry). The twinning element of symmetry may (Class I of twins by merohedry) or may not belong to the Laue class of the crystal (Class II of twins by merohedry): consequences are discussed under solving the crystal structure of twins.
Examples
Class I: in crystals with point group 2 (Laue group 2/m) the mirror plane m acts as twinning operator .
Class II: in crystals with point group 4 (Laue group 4/m) a mirror plane m parallel to the foufold axis 4 acts as twinning operator.
See also
Chapter 3.3 of International Tables for Crystallography, Volume D