A test of Hume-Rothery rules for stable quasicrystals

A. P. Tsai

Research output: Contribution to journalConference articlepeer-review

93 Citations (Scopus)


The stability of the icosahedral quasicrystals has been studied in terms of Hume-Rothery rules i.e., atomic size factor, electronegativity and valence electron concentration. It has been confirmed that most of the stable quasicrystals can be understood within the frame work of the Hume-Rothery rules. 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 the atomic size factor is favored.

Original languageEnglish
Pages (from-to)317-322
Number of pages6
JournalJournal of Non-Crystalline Solids
Publication statusPublished - 2004 Mar 15
Externally publishedYes
Event8th International Conference on Quasicrystals - Bangalore, India
Duration: 2002 Sep 82002 Sep 13

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Condensed Matter Physics
  • Materials Chemistry


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