Question

One of the Hume-Rothery rules for solid solutions11 is that the solubility of solute B in solvent A becomes negligible when the atomic radii of A and B differ by more than 15%. Plot the maximum solubility (atomic percent) of Ni, Pt, Au, Al, Ag, and Pb as a function of the ratio of solute and solvent (Cu) radii, and verify that the solid solubility in Cu drops precipitously at a size ratio of about 1.15. Use the following data: rNi = 0.1246 nm rAl = 0.143 nm rAg = 0.1444 nm rPt = 0.139 nm rPb = 0.1750 nm rCu = 0.1278 nm rAu = 0.1441 nm

Answer 1

Answer:

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.