# Twinning by merohedry

(Difference between revisions)
 Revision as of 05:00, 24 April 2006 (view source)← Older edit Revision as of 05:33, 26 April 2006 (view source)Newer edit → Line 7: Line 7: The twin operation belongs to 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 . The twin operation belongs to 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 == + + Chapter 3.3 of ''International Tables of Crystallography, Volume D''
+ [[Category:Fundamental crystallography]]

## Revision as of 05:33, 26 April 2006

Maclage par mériédrie (Fr). Geminazione per meroedria(It)

# Twinning by merohedry

The twin operation belongs to 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.