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.