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Rubinstein, B; Ben-Abraham, S.
Book of Program and Abstracts of the 45th Annual Meeting of the Israel Physical Society and the Second Conference of the Israel Plasma Science and Technology Association1999
Book of Program and Abstracts of the 45th Annual Meeting of the Israel Physical Society and the Second Conference of the Israel Plasma Science and Technology Association1999
AbstractAbstract
[en] Some alloy systems such as NiCr and VNiSi have quasicrystalline phases with twelve-fold symmetry. These can be interpreted in terms of dodecagonal tilings by squares and equilateral triangles. The formation of quasicrystals may be due to a number of mechanisms such as local growth rules, cluster covering, etc., which may act separately or in synergy. This research focuses on the growth of such dodecagonal quasicrystals as well as the abundance of their vertex configurations, both regular and defective. We have simulated growth from the melt under various conditions in order to find the minimal constraints necessary to produce realistic Patterns as well as realistic vertex statistics. We have also calculated the exact vertex frequencies of the ideal square-triangle tiling by relying on inflation symmetry. The simulation showed that unrestricted random growth typically results in phase separation of triangles from squares. Favoring triangles to attract squares and vice versa brings about nearly perfect patterns with nearly perfect vertex abundances and very realistic defect concentrations
Source
Israel Physical Society (Israel); 228 p; 18 Mar 1999; p. 36; 45. Annual Meeting of the Israel Physical Society; Tel-Aviv (Israel); 18 Mar 1999; 2. Conference of the Israel Plasma Science and Technology Association; Tel-Aviv (Israel); 18 Mar 1999
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