Scale equivalence of quasicrystallographic space groups

Daniel S. Rokhsar, David C. Wright, and N. David Mermin
Phys. Rev. B 37, 8145 – Published 15 May 1988
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Abstract

The space-group classification of ordered structures has been extended to quasicrystals by formulating the problem in wave-vector space. We list the space groups belonging to the icosahedral point groups Y and Yh for the three icosahedral lattices of wave vectors, and show that taking into account the scaling properties of quasicrystal lattices is crucial for a correct enumeration.

  • Received 30 November 1987

DOI:https://doi.org/10.1103/PhysRevB.37.8145

©1988 American Physical Society

Authors & Affiliations

Daniel S. Rokhsar

  • IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598

David C. Wright and N. David Mermin

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501

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Issue

Vol. 37, Iss. 14 — 15 May 1988

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