Effect of Mixing Entropy on the Solid Solubility of Lanthanum in Fe Alloys

A solid solution of rare-earth atoms in the iron matrix is a prerequisite for the microalloying effect in steels. However, to date, there has been considerable controversy regarding whether rare-earth atoms can form solid solutions within the iron matrix. Here, the effect of mixing entropy (Smix) on the solid solubility of the rare-earth element lanthanum in Fe alloys was quantitatively analyzed using the non-aqueous solution electrolysis method. The results indicate that the solid solubility of lanthanum in Fe alloys increases with an increase in mixing entropy. Meanwhile, the thermodynamic essence of the formation of the solid solution was analyzed via the combination of first-principles calculation, thermodynamic analysis, and microstructure analysis.