Symmetry and stability of icosahedral and other quasicrystalline phases

Ofer Biham*, David Mukamel, S. Shtrikman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


The stability of icosahedral, pentagonal, and other quasicrystalline phases to deformations which make them commensurate, and thus periodic, in one or more directions is analyzed. Although such deformations may be arbitrarily small, it is shown that quasicrystals are generically stable to them. Quasicrystals may therefore exist as thermodynamically stable phases. The possible symmetries which may arise in icosahedral structures when these deformations do take place are considered.

Original languageAmerican English
Pages (from-to)2191-2194
Number of pages4
JournalPhysical Review Letters
Issue number20
StatePublished - 1986
Externally publishedYes


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