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.

For substitutional solid solutions, the Hume-Rothery rules are follows:

For interstitial solid solutions, the Hume-Rothery rules are:

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