Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2014-08-01

Journal: 12th International Conference on Quasicrystals (ICQ12)

Included Journals: CPCI-S、EI、SCIE

Volume: 126

Issue: 2

Page Number: 446-448

ISSN: 0587-4246

Abstract: It is known previously that bulk metallic glass compositions satisfy cluster formulae [cluster](glue atom)(1,3) of 24 valence electrons as deduced from our cluster-resonance model. In the present work, it is further shown that compositions of Al-based binary and ternary quasicrystals are also explained by 24-electron cluster formulae of the types [icosahedron](glue atom)(0,1), where the icosahedral cluster is identified from a corresponding crystalline approximant according to dense atomic packing and cluster isolation criteria, and the glue atom site is either vacant for an icosahedral quasicrystal or equal to one for a decagonal quasicrystal. Ternary quasicrystals are formulated with the same formulae as their basic binary ones but the icosahedron shell sites are substituted by third elements. The 24-electron cluster formulae are then the chemical and electronic structural units of quasicrystals, mimicking the molecular formulae of chemical substances.