Journal
PHILOSOPHICAL MAGAZINE
Volume 86, Issue 3-5, Pages 263-274Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786430500281308
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Although hundreds of quasicrystals have been found, little is known about their quantitative composition rules that can help design new materials. In this paper we propose a cluster-based approach to decipher the composition rules. Our approach consists of the following steps: ( 1) selection of a known basic cluster in the constituent binary systems; ( 2) construction of a cluster line linking the binary cluster composition to a third element; and ( 3) the intersection of the two cluster lines points to a new quasicrystal composition if the e/a ratio falls in the appropriate range, typically from 1.8 to 2.0. The predicted compositions agree satisfactorily with experimental values.
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