MATERIALS TRANSACTIONS
Online ISSN : 1347-5320
Print ISSN : 1345-9678
ISSN-L : 1345-9678
The Decomposition Formula of ⟨001⟩ Symmetrical Tilt Grain Boundaries
Kazutoshi InoueMitsuhiro SaitoZhongchang WangMotoko KotaniYuichi Ikuhara
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JOURNALS FREE ACCESS

2015 Volume 56 Issue 12 Pages 1945-1952

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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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© 2015 The Japan Institute of Metals and Materials
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