A unified geometrical framework for face-centered icosahedral approximants in AlPdTM (TM = Transition Metal) systems

Nobuhisa Fujita, Makoto Ogashiwa

Research output: Contribution to journalArticlepeer-review

Abstract

The complex atomic structure of a high-order approximant to face-centered icosahedral quasicrystal in AlPdTM (TM = transition metal) systems can be deconvoluted into two kinds of atomic clusters pinned at the vertices of a tiling composed of four basic polyhedra, called the canonical cells. As a result, thousands of atoms per unit cell can be registered in fifteen orbits associated with vertices, edges, faces, and cells of the relevant canonical-cell tiling. This geometrical framework facilitates a rational guess of an atomic jungle in an unknown approximant structure, could an underlying tiling be postulated. A novel approximant phase in the AlPd(MoFe) system is discussed within the present framework.

Original languageEnglish
Pages (from-to)329-337
Number of pages9
JournalMaterials Transactions
Volume62
Issue number3
DOIs
Publication statusPublished - 2021 Mar 1

Keywords

  • Approximants
  • Atomic decoration models
  • Canonical cell tiling
  • Icosahedral quasicrystals
  • Mini-Bergman cluster
  • Pseudo-mackay cluster
  • X-ray crystallography

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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