Preview: Forthcoming article in Acta Crystallographica Section A: Foundations of Crystallography
Forthcoming article in Acta Crystallographica Section A Foundations and Advances
Acta Crystallographica Section A: Foundations and Advances covers theoretical and fundamental aspects of the structure of matter. The journal is the prime forum for research in diffraction physics and the theory of crystallographic structure determination
Non-crystallographic symmetry of liquid metal, flat crystallographic faults and polymorph transformation of the M7C3 carbide
To achieve a deep consideration and understanding of `in-depth treatments of microstructure - property relationships' the composition of microstructure classification having a mathematical foundation is especially important. Any one of 230 space groups describes a single infinite homogeneous defect-free crystal. That group cannot map the symmetry of microstructure which is determined by size and shape of finite crystal, a fragmentation of this crystal onto blocks, concretion of several crystals, and so on. For that, it is necessary the more general symmetry constructions, in our case these are constructions of projective geometry. In the present paper we made an attempt to formulate the mathematical symmetry (but not speculative) description of transformations of crystals with complex structures.