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A type of cluster formula [B–(B6 − x/2Cx/2)](B1 − x/2Mgx/2)(x ≤ 2), that contains 24 valence electrons per unit cluster formula, was derived from relevant crystalline borides B12C2Mg and B7Mg.
The cluster formula [Ti-Cu6Ti8]Cu3, with e/u ≈ 23.6, was taken as the basic composition formula.
This multi-principal-element alloy is developed out of a cluster formula [Al M14]Al1 issued from the cluster-plus-glue-atom model of a BCC structure.
This cluster, after being glued with one Fe atom, produces a cluster formula [B B2Fe8]FeB3Fe9Fe75B25 that presents nearly 24 valence electrons.
According to this model, any structure can be expressed by cluster formula [cluster](glue atom)x, x denoting the number of glue atoms matching one cluster.
We have previously proposed the "cluster-plus-glue-atom" model for metallic glasses and the relevant cluster formula [cluster](glue atom)x, x ∼ 1 or 3.
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Compositions of typical bulk metallic glasses (BMGs) and boron-containing eutectics have been previously interpreted by cluster formulas issued from the cluster-plus-glue-atom model.
Based on the cluster-plus-glue-atom model, a series of Fe B Si Hf alloys with cluster formulas [Si B2Fe8 − xHfx]Fe (x = 0 0.6) are produced.
Alloys like Cu8Zr5Al, Ni4Zr9Al2 and [Ni7Nb5Zr]Ni3, possessing locally the highest glass-forming abilities, are interpreted by cluster formulae, with their Zs being determined by their e/a values.
It is known that bulk metallic glass compositions can be well interpreted by cluster formulas for stable liquids [cluster](glue atom 1 or 3, where the clusters are derived from relevant devitrification phases.
A general cluster formulas of [(Mo,Sn)–(Zr,Ti 14]Nbx (x=1, 3) was obtained from the model and alloy rods with a diameter of 3 mm were prepared by copper-mold suction-casting processing.
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