Hume-Rothery rules [SEP] named after
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 as follows:
1. The atomic radius of the solute and solvent atoms must
°F).
Phase diagram and solubility.
Three intermetallic phases exist at room temperature in the Bi-In system: BiIn, BiIn and BiIn. Above the room temperature there is another phase named ε.
The solubility of the basic elements is 0–0.005 wt% of In in the Bi sublattice and ~0–14 wt% of Bi in the In sites. These values can be explained by the Hume-Rothery rules, where the crystalline structure must to be the same, the atomic radius must differ 15% or less