On the periodicity of {001} symmetrical tilt grain boundaries

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

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We report an application of the O-lattice theory to systematically analyse the structures of symmetrical tilt grain boundaries with the rotation axis of {001} and demonstrate a theoretical interpretation of the experimentally observed structures of a near Σ5 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.

Original languageEnglish
Pages (from-to)281-287
Number of pages7
JournalMaterials Transactions
Issue number3
Publication statusPublished - 2015


  • Atomic structure
  • Crystal structure
  • Dislocations
  • O-lattice
  • Structural unit
  • Symmetrical tilt grain boundary

ASJC Scopus subject areas

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


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