On the periodicity of {001} symmetrical tilt grain boundaries

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

doi:10.2320/matertrans.M2014394

On the periodicity of {001} symmetrical tilt grain boundaries

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

Advanced Institute for Materials Research (AIMR)

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	281-287
Number of pages	7
Journal	Materials Transactions
Volume	56
Issue number	3
DOIs	https://doi.org/10.2320/matertrans.M2014394
Publication status	Published - 2015

Keywords

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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10.2320/matertrans.M2014394

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abstract = "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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author = "Kazutoshi Inoue and Mitsuhiro Saito and Zhongchang Wang and Motoko Kotani and Yuichi Ikuhara",

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language = "English",

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AU - Inoue, Kazutoshi

AU - Saito, Mitsuhiro

AU - Wang, Zhongchang

AU - Kotani, Motoko

AU - Ikuhara, Yuichi

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Atomic structure

KW - Crystal structure

KW - Dislocations

KW - O-lattice

KW - Structural unit

KW - Symmetrical tilt grain boundary

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JO - Materials Transactions

JF - Materials Transactions

IS - 3

ER -

On the periodicity of {001} symmetrical tilt grain boundaries

Abstract

Keywords

ASJC Scopus subject areas

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