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

^*Corresponding author for this work

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

9 Scopus citations

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
State	Published - 2015
Externally published	Yes

Keywords

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

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10.2320/matertrans.M2014394

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title = "On the periodicity of \{001\} symmetrical tilt grain boundaries",

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.",

keywords = "Atomic structure, Crystal structure, Dislocations, O-lattice, Structural unit, Symmetrical tilt grain boundary",

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

note = "Publisher Copyright: {\textcopyright} 2015 The Japan Institute of Metals and Materials.",

year = "2015",

doi = "10.2320/matertrans.M2014394",

language = "英语",

volume = "56",

pages = "281--287",

journal = "Materials Transactions",

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publisher = "Japan Institute of Metals (JIM)",

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TY - JOUR

T1 - On the periodicity of {001} symmetrical tilt grain boundaries

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

UR - https://www.scopus.com/pages/publications/84923777891

U2 - 10.2320/matertrans.M2014394

DO - 10.2320/matertrans.M2014394

M3 - 文章

AN - SCOPUS:84923777891

SN - 1345-9678

VL - 56

SP - 281

EP - 287

JO - Materials Transactions

JF - Materials Transactions

IS - 3

ER -

On the periodicity of {001} symmetrical tilt grain boundaries

Abstract

Keywords

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