Cluster-packing geometry for Al-based F-type icosahedral alloys

Nobuhisa Fujita, Hikari Takano, Akiji Yamamoto, An Pang Tsai

    Research output: Contribution to journalArticlepeer-review

    22 Citations (Scopus)


    This paper presents a new, highly stable, periodic approximant to the Al-based F-type icosahedral quasicrystals, i-Al-Pd-TM (TM = transition metals). The structure of this intermetallic Al-Pd-Cr-Fe compound is determined ab initio using single-crystal X-ray diffraction, where the space group is identified to be and the lattice constant 40.5Å. The structure is well described as a dense packing of clusters of two kinds, which are called the pseudo-Mackay-type and the mini-Bergman-type clusters. Adjacent clusters can be markedly interpenetrated, while the structure requires no glue atoms to fill in the gaps between the clusters. It is shown that the clusters are centred at the vertices of a canonical cell tiling, which corresponds to a 2 × 2 × 2 superstructure of Henley's cubic 3/2 packing, and that the parity of each vertex determines the kind of associated cluster. The proper quasi-lattice constant for describing the cluster packing is 1/τ (τ = golden mean) times the conventional one used to describe Al-based P-type icosahedral alloys. The superstructure ordering of the present approximant turns out to be of a different kind from the P-type superstructure ordering previously reported in i-Al-Pd-Mn. The present results will greatly improve the understanding of atomic structures of F-type icosahedral quasicrystals and their approximants.

    Original languageEnglish
    Pages (from-to)322-340
    Number of pages19
    JournalActa Crystallographica Section A: Foundations of Crystallography
    Issue number3
    Publication statusPublished - 2013 May


    • F-type icosahedral quasicrystals
    • approximants
    • canonical cell tilings
    • clusters

    ASJC Scopus subject areas

    • Structural Biology


    Dive into the research topics of 'Cluster-packing geometry for Al-based F-type icosahedral alloys'. Together they form a unique fingerprint.

    Cite this