Hume-rothery rules for quasicrystalline compounds

A. P. Tsai

    Research output: Contribution to conferencePaperpeer-review

    1 Citation (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.

    Original languageEnglish
    Number of pages14
    Publication statusPublished - 2005 Dec 1
    EventScience of Complex Alloy Phases Symposium - TMS 2005 Annual Meeting - San Francisco, CA, United States
    Duration: 2005 Feb 132005 Feb 17


    OtherScience of Complex Alloy Phases Symposium - TMS 2005 Annual Meeting
    Country/TerritoryUnited States
    CitySan Francisco, CA


    • Hume-Rothery rules
    • Quasicrystal
    • Stability

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Mechanics of Materials
    • Metals and Alloys


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