Domain configurations and their symmetry in domain average engineered structures

An algorithmic method was presented for determining all domain configurations and their symmetries in domain average engineered structures. This method was applied to PZN-PT single crystals by determining the domain configurations of domain states which arise in a phase transition between point group symmetry = m3m and lower point group symmetry = 3m. All relationships among the fractional volumes were allowed under the criterion that the relationships do not lead to a domain configuration of a higher symmetry.