A direct method for the crystallography of martensitic transformation and its application to TiNi and AuCd Original Research Article

A simple and straightforward method to obtain a complete set of twining planes and habit planes of martensitic crystals by using the crystallographic data is proposed under the bulk strain energy minimization hypothesis. This method can also be used to obtain the diffraction pattern corresponding to martensitic transformation forming the invariant planes. Applications to the cubic→trigonal and cubic→monoclinic martensitic transformation are presented. The results well explain the morphological differences between R-phase in TiNi and ζ′2 martensite in AuCd.