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Orthorhombic rational approximants for decagonal quasicrystals
Author(s) -
S. Ranganathan,
Anandh Subramaniam
Publication year - 2003
Publication title -
bulletin of materials science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.35
H-Index - 72
eISSN - 0973-7669
pISSN - 0250-4707
DOI - 10.1007/bf02704327
Subject(s) - quasicrystal , icosahedral symmetry , orthorhombic crystal system , materials science , metric (unit) , equivalence (formal languages) , cluster (spacecraft) , pure mathematics , mathematics , statistical physics , condensed matter physics , crystal structure , crystallography , physics , geometry , computer science , chemistry , operations management , programming language , economics
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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