The decomposition formula of 001 symmetrical tilt grain boundaries

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

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1945-1952
Number of pages8
JournalMaterials Transactions
Issue number12
Publication statusPublished - 2015


  • Atomic structure
  • Crystal geometry
  • Dislocations
  • Farey sequence
  • Grain boundaries
  • Structural-unit model


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