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Philosophical Magazine Volume 94, 2014 - Issue 22
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Part A: Materials Science

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
 show all
Pages 2520-2540 | Received 27 May 2013, Accepted 28 Apr 2014, Published online: 23 May 2014
 
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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.

Funding

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

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