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Composition formulae of ideal metallic glasses and their relevant eutectics established by a cluster-resonance model
Authors:Guang Han  Jianbing Qiang  Qing Wang  Yingmin Wang  Chunlei Zhu  Shiguang Quan
Institution:1. Key Laboratory of Materials Modification , Dalian University of Technology, Ministry of Education , Dalian 116024 , China;2. College of Physics, Dalian University , Dalian 116622 , China;3. Key Laboratory of Materials Modification , Dalian University of Technology, Ministry of Education , Dalian 116024 , China
Abstract:Composition formulae for ideal metallic glasses are explored by combining the cluster-plus-glue-atom model with the global resonance model, termed the cluster-resonance model for short. The former model gives the cluster]1(glue atom) x cluster formulae, stressing the local cluster order of a glassy structure; the latter model extends the local cluster order to a medium-range one by introducing spherical periodicity that relates the cluster size with Fermi vector, k F. Such a correlation allows the calculation of Fermi energy, E F, and electrochemical potential of electrons of the system from any local clusters. The cluster-resonance model also implies the equilibrium of the electrochemical potentials of electrons between different clusters so that the number of glue atoms matching one cluster (x in the cluster formula) can be determined. Examples in the Cu–Zr–Al and B–Co–Si–Ta systems are given to show the effectiveness of the proposed model and the resulting cluster formulae in interpreting multicomponent metallic-glass compositions as well as their relevant binary eutectic points.
Keywords:metallic glass  eutectic  cluster model  resonance model
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