Abstract
The solubility of elements in metals is a classical subject but still an important one. There are Hume-Rothery rules, which describe the solubility of elements in metals. The Darken–Gurry plot is a diagrammatical representation of Hume-Rothery rules in which the atomic radius is taken as the abscissa and the electronegativity as the ordinate. Apart from the existing methods, the author introduced the “thermal conductivity-Young’s modulus” (TC-YM) diagram in which thermal conductivity is taken as the abscissa and the Young’s modulus as the ordinate. The maximum solubilities of elements in γ-Fe, α-Fe, Cu, and Al are shown on both the Darken–Gurry plot and the TC-YM diagram. The TC-YM diagrams showed clear patterns of solubility on the diagram, while the Darken–Gurry plots showed only vague ones. According to the TC-YM diagram, the atomic radius and electronegativity, which are factors in the Darken–Gurry plot, were proven to be similar factors of the same trend. This is why the Darken–Gurry plot shows vague trends on the figure. On the other hand, the TC-YM diagram shows a clear trend of the solubility of elements. The same crystal structure, nearness to the matrix metal on the diagram, and similar Young’s modulus are concluded to be main factors for the large solubility.
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