On the Periodicity of 〈001〉 Symmetrical Tilt Grain Boundaries
On the Periodicity of 〈001〉 Symmetrical Tilt Grain Boundaries
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DOI：
10.2320/matertrans.m2014394
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发表时间：
2015-03
影响因子：
1.2
通讯作者：
Kazutoshi Inoue;M. Saito;Zhongchang Wang;M. Kotani;Y. Ikuhara
中科院分区：
文献类型：
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作者：
Kazutoshi Inoue;M. Saito;Zhongchang Wang;M. Kotani;Y. Ikuhara
本文应用o晶格理论系统地分析了以©001a为旋转轴的对称倾斜晶界结构，并从结构单元模型和晶界上o点的周期性方面对实验观察到的MgO近-5晶界结构进行了理论解释。进一步导出了与不可约有理数分布密切相关的对称倾斜晶界的广义分解公式。
We report an application of the O-lattice theory to systematically analyse the structures of symmetrical tilt grain boundaries with the rotation axis of ©001a and demonstrate a theoretical interpretation of the experimentally observed structures of a near 5 grain boundary in MgO in terms of the structural-units model and the periodicity of the O-points on the boundary. We further derive generalised decomposition formulae for the symmetrical tilt grain boundaries which are closely related to the distribution of irreducible rational numbers.