The decomposition formula of 001 symmetrical tilt grain boundaries

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

doi:10.2320/matertrans.M2015277

The decomposition formula 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

7 Scopus citations

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 language	English
Pages (from-to)	1945-1952
Number of pages	8
Journal	Materials Transactions
Volume	56
Issue number	12
DOIs	https://doi.org/10.2320/matertrans.M2015277
State	Published - 2015
Externally published	Yes

Keywords

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

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10.2320/matertrans.M2015277

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title = "The decomposition formula of 001 symmetrical tilt grain boundaries",

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.",

keywords = "Atomic structure, Crystal geometry, Dislocations, Farey sequence, Grain boundaries, Structural-unit model",

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.M2015277",

language = "英语",

volume = "56",

pages = "1945--1952",

journal = "Materials Transactions",

issn = "1345-9678",

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

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T1 - The decomposition formula 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 - 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.

AB - 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.

KW - Atomic structure

KW - Crystal geometry

KW - Dislocations

KW - Farey sequence

KW - Grain boundaries

KW - Structural-unit model

UR - https://www.scopus.com/pages/publications/84948955584

U2 - 10.2320/matertrans.M2015277

DO - 10.2320/matertrans.M2015277

M3 - 文章

AN - SCOPUS:84948955584

SN - 1345-9678

VL - 56

SP - 1945

EP - 1952

JO - Materials Transactions

JF - Materials Transactions

IS - 12

ER -

The decomposition formula of 001 symmetrical tilt grain boundaries

Abstract

Keywords

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