Orthorhombic rational approximants for decagonal quasicrystals |
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Authors: | S Ranganathan Anandh Subramaniam |
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Affiliation: | (1) Department of Metallurgy, Indian Institute of Science, 560 012 Bangalore, India;(2) Regional Research Laboratory, 462 026 Bhopal, India |
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Abstract: | An important exercise in the study of rational approximants is to derive their metric, especially in relation to the corresponding
quasicrystal or the underlying clusters. Kuo’s model has been the widely accepted model to calculate the metric of the decagonal
approximants. Using an alternate model, the metric of the approximants and other complex structures with the icosahedral cluster
are explained elsewhere. In this work a comparison is made between the two models bringing out their equivalence. Further,
using the concept of average lattices, a modified model is proposed. |
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Keywords: | Decagonal quasicrystals orthorhombic rational approximants average lattices |
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