title: Mathematical analysis and STEM observations of arrangement of structural units in 〈001〉 symmetrical tilt grain boundaries.
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.
authors: WPI Research Center, Advanced Institute for Materials Research, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai 980-8577, Japan kinoue@wpi-aimr.tohoku.ac.jp.
authors: Kazutoshi
authors: K
authors: Inoue
authors: WPI Research Center, Advanced Institute for Materials Research, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai 980-8577, Japan.|Institute of Engineering Innovation, School of Engineering, The University of Tokyo, 2-11-16, Yayoi, Bunkyo-ku, Tokyo 113-8656, Japan.
authors: Mitsuhiro
authors: M
authors: Saito
authors: WPI Research Center, Advanced Institute for Materials Research, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai 980-8577, Japan.
authors: Chunlin
authors: C
authors: Chen
authors: WPI Research Center, Advanced Institute for Materials Research, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai 980-8577, Japan.
authors: Motoko
authors: M
authors: Kotani
authors: WPI Research Center, Advanced Institute for Materials Research, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai 980-8577, Japan.|Institute of Engineering Innovation, School of Engineering, The University of Tokyo, 2-11-16, Yayoi, Bunkyo-ku, Tokyo 113-8656, Japan.
authors: Yuichi
authors: Y
authors: Ikuhara
keywords: Farey sequence; Stern–Brocot tree; atomic structure; bicrystal; structural unit; symmetrical tilt grain boundary