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.

Observations, Crystal structure, Symmetry (Physics)

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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.

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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.

Growth, Alloys, Crystal growth

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