Phys. Rev. Lett. 53, 2477–2480 (1984)Quasicrystals: A New Class of Ordered StructuresReceived 2 November 1984; published in the issue dated 24 December 1984 A quasicrystal is the natural extension of the notion of a crystal to structures with quasiperiodic, rather than periodic, translational order. We classify two- and three-dimensional quasicrystals by their symmetry under rotation and show that many disallowed crystal symmetries are allowed quasicrystal symmetries. We analytically compute the diffraction pattern of an ideal quasicrystal and show that the recently observed electron-diffraction pattern of an Al-Mn alloy is closely related to that of an icosahedral quasicrystal. © 1984 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.53.2477
DOI:
10.1103/PhysRevLett.53.2477
PACS:
61.50.Em, 61.55.Hg, 64.70.Ew
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