Merohedral

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Merohedral is the adjectival form of merohedry and indicates a crystal that does not possess the full point symmetry of its lattice.

Discussion

In the literature, the term merohedral twinning is often improperly used instead of twinning by merohedry. A merohedral crystal may undergo several different types of twinning and for this reason the term "merohedral twinning" is misleading, as the following example shows.

A crystal belonging to the geometric crystal class 2 is merohedral because its lattice has at least symmetry 2/m. There are thee supergroups of order two of the point group 2 which correspond to three different twins.

  1. Twinning by reflection across the (010) plane or by inversion: this corresponds to twinning by merohedry, twin point group 2/m';
  2. Twinning by reflection across the (100) or (001) plane: this corresponds to twinning by pseudomerohedry, twinning by reticular merohedry, or twinning by reticular pseudomerohedry if β ≠ 90º, or to twinning by metric merohedry if β = 90º; the twin point group is m ′ 2 m
  3. Twinning by rotation about [100] or [001]: direction: this corresponds tothe same types of twinning as case 2) above but the twin point group is 2′ 2 2′.

Case 1 above would be a "merohedral twin of a merohedral crystal" while cases 2 and 3 would be "non-merohedral twins of a merohedral crystal". To avoid any terminological awkwardness, the adjective merohedric has been suggested with reference to twins, but the use of the category names like twinning by merohedry remains preferable

See also