Symmetry and phase transitions in decagonal quasicrystals

D. B. Litvin, V. Kopsky, J. L. Birman

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The possible non-crystallographic point group of the decagonal quasicrystal phase of Al-Mn alloys has been shown by Bendersky (1986) to be either D 10h or C10h. For the physically irreducible representations of these groups, the authors derive the Clebsch-Gordan products extended integrity bases, stability spaces and tensorial covariants. The point groups which can arise in phase transitions are determined along with corresponding tensorial parameters which could drive the transition. It is shown that equilibrium tensorial properties whose components transform as the components of the electrogyration or elasto-optic tensors can distinguish between the D10h and C10h point group symmetry of the decagonal phase.

Original languageEnglish (US)
Article number017
Pages (from-to)6169-6184
Number of pages16
JournalJournal of Physics A: Mathematical and General
Issue number18
StatePublished - Dec 1 1987

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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