SYMMETRY AND PHASE TRANSFORMATION

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Abstract
The symmetry properties are among the simplest deterministic principles which allow us to recognize equivalencies between different crystalline morphologies. The basic idea is essentially that the total symmetry of the resulting morphology reflects the symmetry of the originating process : for example, the different types of variants induced by a phase transition are related to the coset decomposition of the space groups of the involved structures onto their intersection group. A scheme has been proposed for the numbering and labelling of the variants nucleated in an anisotropic medium. More recently the importance of the Intersection Group has been pointed out as one of the basic ingredients for the study of precipitate morphology. The symmetry considerations are not only an easy way of reducing the configurational space of a certain physical property to a non redundant subspace, but they also allow for the determination of the "symmetry dictated extrema" of the considered physical property. This promising way will certainly induce a new development in the understanding of martensite morphologies

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