Orthorhombic rational approximants for decagonal quasicrystals

Bulletin of materials science

Anandh Subramaniam²  S Ranganathan¹ 

[1] Department of Metallurgy, Indian Institute of Science, Bangalore 560 012, India$$Department of Metallurgy, Indian Institute of Science, Bangalore 560 012, IndiaDepartment of Metallurgy, Indian Institute of Science, Bangalore 560 012, India$$;Regional Research Laboratory, Bhopal 462 026, India$$Regional Research Laboratory, Bhopal 462 026, IndiaRegional Research Laboratory, Bhopal 462 026, India$$

关键词: Decagonal quasicrystals;    orthorhombic rational approximants;    average lattices.;   

DOI  :  

学科分类：材料工程

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown