Hume-rothery rules for quasicrystalline compounds

A. P. Tsai

    研究成果: Paper査読

    1 被引用数 (Scopus)


    The stability of the icosahedral quasicrystals has been understood in terms of Hume-Rothery rules i.e., atomic size factor, electronegativity and valency electron concentration. Even more interestingly it is found that stable quasicrystals are strict electron compounds, which only form at sharp valence electron concentration. All of the stable quasicrystals commonly have the corresponding valence electron concentration, but the dependence of stability on the atomic size factor is different among the groups. Qualitatively, the most relevant criterion for the formation of stable quasicrystals is that the alloy should have a definite valence electron concentration. On top of this, a high stability of the quasicrystal is observed when atomic size factor is favored.

    出版ステータスPublished - 2005 12月 1
    イベントScience of Complex Alloy Phases Symposium - TMS 2005 Annual Meeting - San Francisco, CA, United States
    継続期間: 2005 2月 132005 2月 17


    OtherScience of Complex Alloy Phases Symposium - TMS 2005 Annual Meeting
    国/地域United States
    CitySan Francisco, CA

    ASJC Scopus subject areas

    • 凝縮系物理学
    • 材料力学
    • 金属および合金


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