Scale equivalence of quasicrystallographic space groups
- 15 May 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 37 (14) , 8145-8149
- https://doi.org/10.1103/physrevb.37.8145
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 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.
Keywords
This publication has 10 references indexed in Scilit:
- The two-dimensional quasicrystallographic space groups with rotational symmetries less than 23-foldActa Crystallographica Section A Foundations of Crystallography, 1988
- Rudimentary quasicrystallography: The icosahedral and decagonal reciprocal latticesPhysical Review B, 1987
- Structure and Disorder in the Al-Pd Decagonal PhaseMaterials Science Forum, 1987
- DECAGONAL PHASELe Journal de Physique Colloques, 1986
- Crystallography of quasi-crystalsActa Crystallographica Section A Foundations of Crystallography, 1986
- THE CRYSTALLOGRAPHY OF APERIODIC CRYSTALSLe Journal de Physique Colloques, 1986
- ICOSAHEDRAL CRYSTALS, QUASI-CRYSTALS : NEW FORMS OF INCOMMENSURATE CRYSTAL PHASESLe Journal de Physique Colloques, 1986
- Symmetry, stability, and elastic properties of icosahedral incommensurate crystalsPhysical Review B, 1985
- Phenomenological Theory of Icosahedral Incommensurate ("Quasiperiodic") Order in Mn-Al AlloysPhysical Review Letters, 1985
- Symmetry of Fourier spaceActa Crystallographica, 1962