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Hume-Rothery rules : ウィキペディア英語版
Hume-Rothery rules
The Hume-Rothery rules, named after William Hume-Rothery, are a set of basic rules that describe the conditions under which an element could dissolve in a metal, forming a solid solution. There are two sets of rules, one refers to substitutional solid solutions, and the other refers to interstitial solid solutions.
==Substitutional Solid Solution Rules==
For substitutional solid solutions, the Hume-Rothery rules are:
:1. The atomic radius of the solute and solvent atoms must differ by no more than 15%:
:: \% \mbox = \left ( \frac}{r_{solvent}} \right ) \times 100\% \le 15\%.
:2. The crystal structures of solute and solvent must be similar.
:3. Complete solubility occurs when the solvent and solute have the same valency.〔Foundations of Materials Science and Engineering, 4th ed., W. Smith and J. Hashemi, pp.139-140 (2006).〕 A metal dissolves a metal of higher valency to a greater extent than one of lower valency.
:4. The solute and solvent should have similar electronegativity. If the electronegativity difference is too great, the metals tend to form intermetallic compounds instead of solid solutions.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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