The Decomposition Formula of ⟨001⟩ Symmetrical Tilt Grain Boundaries

Kazutoshi Inoue; Mitsuhiro Saito; Zhongchang Wang; Motoko Kotani; Yuichi Ikuhara

doi:10.2320/matertrans.M2015277

Kazutoshi Inoue, Mitsuhiro Saito, Zhongchang Wang, Motoko Kotani, Yuichi Ikuhara

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Keywords: atomic structure, dislocations, crystal geometry, grain boundaries, structural-unit model, Farey sequence

JOURNAL FREE ACCESS

2015 Volume 56 Issue 12 Pages 1945-1952

DOI https://doi.org/10.2320/matertrans.M2015277

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Abstract

The general decomposition formula was established for the structures of symmetrical tilt grain boundaries with the tilt axis of ⟨001⟩. By investigating the underlying mathematical structure, we propose a novel algorithm to obtain the arrangement of structural units for any misorientation angle of the boundary with an arbitrary precision due to the Farey sequence.

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