What is it about?
It proposes a mathematical description of 3D crystal structure, which can be used to derive new crystal structure of lower-symmetry by lattice correspondence assumption.
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Why is it important?
It is an important theoretical approach to help material scientists to study new materials with unknown crystal structure. It also helps the X-ray crystallographers to analyze the unknown diffraction patterns.
Perspectives
This paper provides a series of mathematical definitions for crystalline solids, which form the basis of a method to calculate the derived crystal structure for martensitic materials transformed from cubic austenite through solid–solid phase transformations. We classify the lattice points, atomic positions and sites, which are associated with the space-group symmetry in the International Tables for Crystallography.
Xian Chen
Hong Kong University of Science and Technology
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This page is a summary of: Derived crystal structure of martensitic materials by solid–solid phase transformation, Acta Crystallographica Section A Foundations and Advances, June 2020, International Union of Crystallography,
DOI: 10.1107/s2053273320006087.
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