In this work, the electrolyte molecular interaction volume model (eMIVM) and the optimized model (eMIVM-ET) were used to t the activity coe cients and osmotic coe cients of 47 heavy metal single electrolyte solutions containing Ni 2+ , Co 2+ and Cu 2+ , respectively, and the activity coe cients and osmotic coe cients of 10 heavy metal two electrolyte solutions containing Ni 2+ , Co 2+ and Cu 2+ were predicted. The results show that the average deviation and average relative error of these two models are: the activity coe cients of eMIVM are 0.0548 and 7.22%, the osmotic coe cients are 0.0307 and 5.06%, the activity coe cients of eMIVM-ET are 0.0326 and 3.78%, and the osmotic coe cients are 0.0276and 4.73%, respectively; For the average deviation and relative error predicted by these two models, the activity coe cients of eMIVM are 0.2331 and 41.64% respectively, the osmotic coe cients are 0.2590 and 21.1% respectively, the activity coe cients of eMIVM-ET are 0.1340 and 24.88% respectively, and the osmotic coe cients are 0.1139 and 9.11% respectively. The prediction effect of eMIVM-ET is better than that of eMIVM, so eMIVM-ET can be used as an alternative thermodynamic prediction model.