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

    1 Citation (Scopus)

    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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