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A general method to determine twinning elements
Author(s) -
Zhang Yudong,
Li Zongbin,
Esling Claude,
Muller Jacques,
Zhao Xiang,
Zuo Liang
Publication year - 2010
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889810037180
Subject(s) - crystal twinning , materials science , crystal (programming language) , type (biology) , plane (geometry) , crystallography , condensed matter physics , computer science , mathematics , physics , chemistry , geometry , geology , metallurgy , microstructure , paleontology , programming language
The fundamental theory of crystal twinning has been long established, leading to a significant advance in understanding the nature of this physical phenomenon. However, there remains a substantial gap between the elaborate theory and the practical determination of twinning elements. This paper proposes a direct and simple method – valid for any crystal structure and based on the minimum shear criterion – to calculate various twinning elements from the experimentally determined twinning plane for Type I twins or the twinning direction for Type II twins. Without additional efforts, it is generally applicable to identify and predict possible twinning modes occurring in a variety of crystalline solids. Therefore, the present method is a promising tool to characterize twinning elements, especially for those materials with complex crystal structure.