Classification of domain pairs and tensor distinction

Abstract

The symmetries of domain states of a domain pair (S₁,S₂) can be determined from the symmetry group F ₁ of the first domain state and a twinning operation g₁₂ which transforms this domain state into the second. A classification is introduced which classifies all possible domain pairs according to a classification of the pairs F ₁ and g₁₂. One obtains 139 classes of which 43 correspond to non-ferroelastic domain pairs and 96 to ferroelastic domain pairs. The tensor distinction of domain states of a domain pair is determined by the group F ₁ and g₁₂ and all domain pairs belonging to the same class have the same tensor distinction. The 139 classes of pairs F ₁ and g₁₂ are tabulated along with their corresponding twinning group K ₁₂ = F ₁, g₁₂ >, the group generated by F ₁ and g₁₂. The tensor distinction of domain states of domain pairs of each class is given for a variety of material property tensors.

Key Words:

• domains
• tensors
• symmetry