About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
Physical Review B
Paper
Scale equivalence of quasicrystallographic space groups
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. © 1988 The American Physical Society.