Foundations of Physics

, Volume 33, Issue 12, pp 1703–1711

Quasicrystals: A Matter of Definition

  • Ron Lifshitz

DOI: 10.1023/A:1026247120031

Cite this article as:
Lifshitz, R. Foundations of Physics (2003) 33: 1703. doi:10.1023/A:1026247120031


It is argued that the prevailing definition of quasicrystals, requiring them to contain an axis of symmetry that is forbidden in periodic crystals, is inadequate. This definition is too restrictive in that it excludes an important and interesting collection of structures that exhibit all the well-known properties of quasicrystals without possessing any forbidden symmetries.

quasicrystalsquasiperiodic crystalsincommensurate crystalssymmetry

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Ron Lifshitz
    • 1
  1. 1.School of Physics & Astronomy, The Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael