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The classification of domain pairs and its use in domain distinction analysis

Abstract This paper presents a classification of domain pairs arising from structural phase transitions that generalizes the classification introduced for the equitranslational transitions: The six types of domain pairs represent each a definite degree of similarity between two pairs. The four hierarchical classes characterize each certain level of complexity of a domain pair. The classification is based on the characterization of a domain pair by certain groups. Such an approach enables one to describe a domain pair by invariants and relative invariants of the involved groups. Moreover, the mutual relationship between two domain states can be represented by a specific partially ordered set that in many cases forms a lattice. The new features are demonstrated on a phase transition in the 2H-TaSe2 structure.