Mathematical analysis and STEM observations of arrangement of structural units in < 001 > symmetrical tilt grain boundaries

作者：Inoue Kazutoshi^*; Saito Mitsuhiro; Chen Chunlin; Kotani Motoko; Ikuhara Yuichi

来源：Microscopy, 2016, 65(6): 479-487.

DOI：10.1093/jmicro/dfw034

• atomic structure
• bicrystal
• symmetrical tilt grain boundary
• structural unit
• Farey sequence
• Stern-Brocot tree

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.

• 出版日期2016-12