Phonons, phasons, and dislocations in quasicrystals
- 1 September 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 34 (5) , 3345-3360
- https://doi.org/10.1103/physrevb.34.3345
Abstract
In this paper we examine the detailed relationship between the density-wave and unit-cell descriptions of quasicrystals. We show that phonons, phasons, and dislocations correspond to translations, distortions, and rearrangements of unit cells. The associated density-wave images closely resemble experimental electron micrographs of the icosahedral phase of aluminum-manganese and related alloys. Partial dislocations are also discussed and a natural classification scheme for partials is proposed.Keywords
This publication has 17 references indexed in Scilit:
- Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilingsJournal of Physics A: General Physics, 1986
- Hydrodynamics of icosahedral quasicrystalsPhysical Review B, 1985
- Symmetry, stability, and elastic properties of icosahedral incommensurate crystalsPhysical Review B, 1985
- Quasicrystals with arbitrary orientational symmetryPhysical Review B, 1985
- Long-Range Icosahedral Orientational Order and QuasicrystalsPhysical Review Letters, 1985
- Quasiperiodic PatternsPhysical Review Letters, 1985
- Elasticity and Dislocations in Pentagonal and Icosahedral QuasicrystalsPhysical Review Letters, 1985
- Mean-Field Theory of Quasicrystalline OrderPhysical Review Letters, 1985
- Quasicrystals: A New Class of Ordered StructuresPhysical Review Letters, 1984
- Metallic Phase with Long-Range Orientational Order and No Translational SymmetryPhysical Review Letters, 1984