24 electron cluster formulas as the ‘molecular’ units of ideal metallic glasses

L.J. LuoKey Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Dalian University of Technology), Ministry of Education, Dalian116024, China

H. ChenKey Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Dalian University of Technology), Ministry of Education, Dalian116024, China

Y.M. WangKey Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Dalian University of Technology), Ministry of Education, Dalian116024, China

J.B. QiangKey Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Dalian University of Technology), Ministry of Education, Dalian116024, China

Q. WangKey Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Dalian University of Technology), Ministry of Education, Dalian116024, China

C. DongKey Laboratory of Materials Modification by Laser, Ion, and Electron Beams (Dalian University of Technology), Ministry of Education, Dalian116024, ChinaCorrespondence[email protected]

P. HäusslerPhysics Institute, Chemnitz University of Technology, Chemnitz09107, Germany

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Abstract

It is known that ideal metallic glasses fully complying with the Hume-Rothery stabilization mechanism can be expressed by a universal cluster formula of the form [cluster](glue atom)_{1 or 3}. In the present work, it is shown, after a re-examination of the cluster-resonance model, that the number of electrons per unit cluster formula, e/u, is universally 24. The cluster formulas are then the atomic as well as the electronic structural units, mimicking the ‘molecular’ formulas for chemical substances. The origin of different electron number per atom ratios e/a is related to the total number of atoms Z in unit cluster formula, e/a = 24/Z. The 24 electron formulas are well confirmed in typical binary and ternary bulk metallic glasses.

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Funding

This work was supported by the National Natural Science Foundations of China [number 51131002].

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24 electron cluster formulas as the ‘molecular’ units of ideal metallic glasses

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24 electron cluster formulas as the ‘molecular’ units of ideal metallic glasses

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