A simpler approach to Penrose tiling with implications for quasicrystal formation
Article Abstract:
Penrose tiling in quasicrystal structures can be forced using one type of tile and following the matching rule, or using more than one type of tile and violating the matching rule. The quasiperiodic tiling using decagons inscribed by a fat rhombus tile produces overlapping of the tiles. The central fat tile can be surrounded by other tiles in 11 ways, which is the number given by the Penrose arrow rules. Tiling can also be forced by minimizing the free energy of a tile-cluster. This maximizes the tile density and is a simple physically driven mechanism for quasicrystals formation.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 1996
User Contributions:
Comment about this article or add new information about this topic:
Experimental verification of the quasi-unit-cell model of quasicrystal structure
Article Abstract:
The atomic structure of quasicrystals is described as a three-dimensional generalization of the planar two-tile Penrose pattern. An alternative model describes the structures in terms of a three-dimensional generalization of a pattern consisting of identical decagons. It indicates that understanding of the energetics of the repeating atomic cluster requires quasicrystals to be deciphered in terms of quasi-unit cells, to provide useful data to test the theories of quasicrystal formation.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 1998
User Contributions:
Comment about this article or add new information about this topic:
A stable binary quasicrystal
Article Abstract:
Research is presented describing the study of alloy stability and the development of a quasicrystal made up of different metallic compounds.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 2000
User Contributions:
Comment about this article or add new information about this topic:
- Abstracts: A possible docking and fusion particle for synaptic transmission. SNAP receptors implicated in vesicle targeting and fusion
- Abstracts: Arginine vasotocin increases calling-site acquisition by nonresident male grey treefrogs. The neuropeptide arginine vasotocin alters male call characteristics involved in social interactions in the grey treefrog, Hyla versicolor
- Abstracts: Structure of the signal recognition particle interacting with the elongation-arrested ribosome. A ratchet-like inter-subunit reorganization of the ribosome during translocation
- Abstracts: Human general transcription factor IIH phosphorylates the C-terminal domain of RNA polymerase II. RNA polymerase II elongation through chromatin
- Abstracts: Common mechanisms of nerve and blood vessel wiring. Genetic spotlight on a blood defect. One cell, two fates