Atomic packing and size effect on the Hume-Rothery rule

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • Zhijun Wang
  • Yunhao Huang
  • C.T. Liu
  • Junjie Li
  • Jincheng Wang

Detail(s)

Original languageEnglish
Pages (from-to)139-144
Journal / PublicationIntermetallics
Volume109
Online published4 Apr 2019
Publication statusPublished - Jun 2019

Abstract

Atomic packing problems have been widely investigated by physicists, mathematicians, material scientists as a long-standing scientific issue. While it is widely known that the monodisperse particles are closely packed into the face-centered cubic structure, the increase of polydispersity will suppress the crystallization. It is still unsolved when and how the crystalline packing collapses as the particle-size difference increases over a critical value. On the other hand, the atomic-size factor of the solution has gone deeply into the concept of applied physicists and physical metallurgy scientists since the proposal of Hume-Rothery rules in 1934. Although great efforts have been devoted to understanding this simple but important empirical rule of the atomic size effect, it remains a question without a complete answer even in binary alloy systems. Here, the two outstanding issues were solved in a rigorous geometric packing instability model even in the multicomponent system. The physical scenario presented here are helpful for understanding the close packing instability and the atomic-size effect in the Hume-Rothery rules.

Research Area(s)

  • Atomic packing, Atomic size effect, Crystallization, Hume-Rothery rules

Citation Format(s)

Atomic packing and size effect on the Hume-Rothery rule. / Wang, Zhijun; Huang, Yunhao; Liu, C.T.; Li, Junjie; Wang, Jincheng.

In: Intermetallics, Vol. 109, 06.2019, p. 139-144.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review