Possible nucleus of the Bergman cluster in the Zn-Mg-Y alloy system

Kei Nakayama, Masaya Nakagawa, Yasumasa Koyama

Research output: Contribution to journalArticlepeer-review


To understand the formation of the Bergman cluster in the F-type icosahedral quasicrystal, crystallographic relations between the quasicrystal and the intermetallic-compound H and Zn23Y6 phases in the Zn-Mg-Y alloy system were investigated mainly by transmission electron microscopy. It was found that, although sample rotations of about 1° were required to obtain simple crystallographic relations, the orientation relationship was established among the cubic-Fm3m Zn23Y6 structure, the hexagonal-P63/mmc H structure, and the F-type icosahedral quasicrystal (IQ); that is, [113]c // the fivefold axis in the IQ // N(21 10)H, and [110]c // the twofold axis in the IQ // N(0553)H, where N(hkml)H means the normal direction of the (hkml)H plane in the H structure. The correspondences between atomic positions in the Bergman cluster and in the Zn23Y6 structure and between those in the cluster and in the H structure were investigated on the basis of the established relationship. As a result, an assembly of six short-penetrated-decagonal columns was identified as an appropriate nucleus in the formation of the Bergman cluster from these two structures.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Oct 9


  • Bergman cluster
  • Icosahedral quasicrystal
  • Transmission electron microscopy
  • Zn-Mg-Y alloy system

ASJC Scopus subject areas

  • General

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