On the Periodicity of 〈001〉 Symmetrical Tilt Grain Boundaries

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  • Inoue Kazutoshi
    WPI Research Center, Advanced Institute for Materials Research, Tohoku University
  • Saito Mitsuhiro
    WPI Research Center, Advanced Institute for Materials Research, Tohoku University Institute of Engineering Innovation, School of Engineering, The University of Tokyo
  • Wang Zhongchang
    WPI Research Center, Advanced Institute for Materials Research, Tohoku University
  • Kotani Motoko
    WPI Research Center, Advanced Institute for Materials Research, Tohoku University
  • Ikuhara Yuichi
    WPI Research Center, Advanced Institute for Materials Research, Tohoku University Institute of Engineering Innovation, School of Engineering, The University of Tokyo

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タイトル別名
  • On the Periodicity of ⟨001⟩ Symmetrical Tilt Grain Boundaries
  • On the Periodicity of ⟨001⟩ Symmetrical Tilt Grain Boundaries

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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.

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