Point group symmetries

Daniel B. Litvin

doi:10.1117/12.432945

9 July 2001 Point group symmetries

Daniel B. Litvin

Proceedings Volume 4467, Complex Mediums II: Beyond Linear Isotropic Dielectrics; (2001) https://doi.org/10.1117/12.432945
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

The form of macroscopic physical property tensors of a crystalline structure can be determined from its magnetic or non-magnetic point group symmetry. In a ferroic crystal containing two or more equally stable domains of the same structure but of different spatial orientation, macroscopic tensorial physical properties that are different in domains, provide a tensor distinction of the domains. The use of point group symmetries in this tensor distinction is reviewed in this paper: Point group symmetry based classifications of domains have been defined to determine if specific macroscopic tensorial physical properties can provide a tensor distinction of all or some domains which arise in a phase transition. For pairs of domains, the tensor distinction is determined from a point group symmetry relationship, called a twin law. Recent work on domain average engineering in ferroics which focuses on the averaged point group symmetry and averaged physical properties of subsets of domains is also discussed.

Citation Download Citation

Daniel B. Litvin "Point group symmetries", Proc. SPIE 4467, Complex Mediums II: Beyond Linear Isotropic Dielectrics, (9 July 2001); https://doi.org/10.1117/12.432945

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