Mathematical analysis and STEM observations of arrangement of structural units in 〈001〉 symmetrical tilt grain boundaries

Kazutoshi Inoue, Mitsuhiro Saito, Chunlin Chen, Motoko Kotani, Yuichi Ikuhara

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)479-487
Number of pages9
JournalMicroscopy
Volume65
Issue number6
DOIs
Publication statusPublished - 2016 Dec 1

Keywords

  • Atomic structure
  • Bicrystal
  • Farey sequence
  • Stern-Brocot tree
  • Structural unit
  • Symmetrical tilt grain boundary

ASJC Scopus subject areas

  • Structural Biology
  • Instrumentation
  • Radiology Nuclear Medicine and imaging

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