Comparison between methods for predicting maximum solid solubility of transition metals in solvent metal

1　INTRODUCTIONThepredictionofsolidsolubilityofanalloyisasuspendingbutanimportant question .Therearemanymicrocosmictheoriesand goodreviews pub lishedelucidatingtheeffectsofelectronegativity ,atomicdiameterandelectronconcentrationonthesol idsolubility ,respectively[1,2 ] .However,theyaredifficulttopredictsolidsolubilitythoughtheycanex plainsomeexperimentalrules.DarkenandGurry[3,4 ]proposedatheoremconsideringbothatomicsizeandelectronegativity ,whichgreatlyimprovedtheHume Rothery swork (D …     

Maximum solid solubility of transition metals in vanadium solvent

Maximum solid solubility （Cmax） of different transition metals in metal solvent can be described by a semi-empirical equation using function Zf that contains electronegativity difference, atomic diameter and electron concentration. The relation between Cmax and these parameters of transition metals in vanadium solvent was studied. It is shown that the relation of Cmax and function Zf can be expressed as In Cmax = Zf = 7. 316 5- 2. 780 5 （△X）^2- 71. 278δ^2-0. 855 56n^2/3. The factor of atomic size parameter has the largest effect on the Cmax of the V binary alloy; followed by the factor of electronegativity difference; the electrons concentration has the smallest effect among the three bond parameters. Function Zf is used for predicting the unknown Cmax of the transition metals in vanadium solvent. The results are compared with Darken-Gurry theorem, which can be deduced by the obtained function Zf in this work.