Structure of an icosahedral Al-Mn quasicrystal
- 15 April 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 37 (11) , 6207-6214
- https://doi.org/10.1103/physrevb.37.6207
Abstract
A structure model of an icosahedral Al-Mn quasicrystal is proposed based on the structure-factor calculation and the x-ray and neutron powder-diffraction patterns of rapidly solidified Al-Mn alloys. The model has a local atomic arrangement similar to that of the cubic α–Al-Mn-Si and has icosahedral point symmetry. To derive the model six-dimensional description of the three-dimensional Penrose lattice is extended to more general quasicrystals. The model explains the x-ray and neutron diffraction intensity, chemical composition, and density of the icosahedral quasicrystal.Keywords
This publication has 27 references indexed in Scilit:
- Crystallography of quasi-crystalsActa Crystallographica Section A Foundations of Crystallography, 1986
- Crystal and quasicrystal structures in Al-Mn-Si alloysPhysical Review Letters, 1985
- Indexing problems in quasicrystal diffractionPhysical Review B, 1985
- On the Structure of a Quasicrystal –Three-Dimensional Penrose Transformation–Journal of the Physics Society Japan, 1985
- Quasiperiodic PatternsPhysical Review Letters, 1985
- A simple derivation of quasi-crystalline spectraJournal of Physics A: General Physics, 1985
- 6-dimensional properties of Al0.86Mn0.14 alloyJournal de Physique Lettres, 1985
- Metallic Phase with Long-Range Orientational Order and No Translational SymmetryPhysical Review Letters, 1984
- Crystallography and the penrose patternPhysica A: Statistical Mechanics and its Applications, 1982
- Pentaplexity A Class of Non-Periodic Tilings of the PlaneThe Mathematical Intelligencer, 1979