Mathematical analysis and STEM observations of arrangement of structural units in ⟨001⟩ symmetrical tilt grain boundaries

被引：8

作者：

Inoue, Kazutoshi ^{[1
]}

Saito, Mitsuhiro ^{[1
,2
]}

Chen, Chunlin ^{[1
]}

Kotani, Motoko ^{[1
]}

Ikuhara, Yuichi ^{[1
,2
]}

机构：

[1] Tohoku Univ, WPI Res Ctr, Adv Inst Mat Res, Aoba Ku, Katahira 2-1-1, Sendai, Miyagi 9808577, Japan

[2] Univ Tokyo, Sch Engn, Inst Engn Innovat, Bunkyo Ku, 2-11-16 Yayoi, Tokyo 1138656, Japan

来源：

MICROSCOPY | 2016年 / 65卷 / 06期

关键词：

atomic structure; bicrystal; symmetrical tilt grain boundary; structural unit; Farey sequence; Stern-Brocot tree; COINCIDENCE-SITE LATTICES; COMPUTER-SIMULATION; ALUMINUM; ENERGY; COPPER; MGO; APPROXIMANTS; PERIODICITY; MOLYBDENUM; GEOMETRY;

D O I：

10.1093/jmicro/dfw034

中图分类号：

TH742 [显微镜];

学科分类号：

摘要：

A collaborative work between mathematics and atom-resolved scanning transmission electron microscopy (STEM) has been conducted. The grain boundary in a bicrystal of a simple rock-salt oxide can show a complicated arrangement of structural units, which can be well predicted by an algorithm utilizing the Farey sequence. The estimated arrangements had a nice agreement with those observed by STEM in atomic-scale up to several tens of nanometers.

引用

页码：479 / 487

页数：9

共 59 条

[1]

[Anonymous], 1938, AM MATH MON, DOI DOI 10.2307/2302799

[2] Multiple coincidences in dimensions d≤3 [J].