The decomposition formula of 001 symmetrical tilt grain boundaries

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1945-1952
Number of pages8
JournalMaterials Transactions
Volume56
Issue number12
DOIs
Publication statusPublished - 2015

Keywords

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

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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