Phonons, phasons, and dislocations in quasicrystals

Joshua E.S. Socolar, T. C. Lubensky, Paul J. Steinhardt

Research output: Contribution to journalArticlepeer-review

428 Scopus citations


In this paper we examine the detailed relationship between the density-wave and unit-cell descriptions of quasicrystals. We show that phonons, phasons, and dislocations correspond to translations, distortions, and rearrangements of unit cells. The associated density-wave images closely resemble experimental electron micrographs of the icosahedral phase of aluminum-manganese and related alloys. Partial dislocations are also discussed and a natural classification scheme for partials is proposed.

Original languageEnglish (US)
Pages (from-to)3345-3360
Number of pages16
JournalPhysical Review B
Issue number5
StatePublished - 1986
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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