Czechoslovak Journal of Physics B

, Volume 22, Issue 10, pp 974–994 | Cite as

Group analysis of domains and domain pairs

  • V. Janovec


Basic symmetry properties of transformation twins and of ferroelectric or ferromagnetic domains are examined in terms of the abstract group theory. It is shown that the crystallographical relations between domains (twin components) and between domain pairs can be deduced from the decomposition of the symmetry group of the high symmetry phase into the left and double cosets of the group of the low symmetry phase. Expressions are derived for the numbers of proper and improper domains, for the number of crystallographically equivalent low symmetry phases, and for the number of crystallographically non-equivalent domain pairs. A classification of domain pairs according to their symmetry is proposed. The domain structure of the monoclinic phase in WO3 and the Dauphiné twinning in quartz are analysed as illustrative examples.


Quartz Symmetry Group Domain Structure Group Analysis Symmetry Property 
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Copyright information

© Academia, Publishing House of the Czechoslovak Academy of Sciences 1972

Authors and Affiliations

  • V. Janovec
    • 1
  1. 1.Institute of PhysicsCzechosl. Acad. Sci.Prague

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