The blank of thermodynamic properties in the CaO-Al₂O₃-Ce₂O₃ basic slag system limits the application of rare earth element in relevant materials. In the current work, H, C_p (298 K), and C_p (T) of ternary oxide minerals were estimated using the split-combination method, Neumann–Kopp rule, and Kubaschewski method, respectively. Then, a thermodynamic model for calculating the activity of oxides in the CaO-Al₂O₃-Ce₂O₃ system, i.e., the IMCT-a_i model, has been developed based on IMCT and by introducing the correction coefficient F_i according to the phase diagram theory. And the relationship between the correction coefficient and the compositions was established. Compared with the IMCT model, the good agreement between the calculated activity by the IMCT-a_i model and the reported activity indicated that the IMCT-a_i model can be applied to predict the activity of the CaO-Al₂O₃-Ce₂O₃ system. Furthermore, iso-activity curves of oxides in the CaO-Al₂O₃-Ce₂O₃ ternary systems were estimated at 1500 °C, 1550 °C, and 1600 °C, respectively.

CaO-Al ₂ O ₃ -Ce ₂ O ₃碱性渣体系热力学性能的空白限制了稀土元素在相关材料中的应用。在目前的工作中，三元氧化物矿物的H、C _p (298 K) 和C _p ( T ) 分别使用分裂组合法、Neumann-Kopp 规则和 Kubaschewski 方法估计。然后，计算CaO-Al ₂ O ₃ -Ce ₂ O ₃体系中氧化物活性的热力学模型，即IMCT- a _i模型，是基于 IMCT 并根据相图理论引入修正系数F _{i 开发的}。并建立了修正系数与成分的关系。与IMCT模型相比，由IMCT-计算活性之间的良好的一致性一个_我模型和报告的活动表明IMCT-一个_我模型可以应用于预测中的CaO-Al系的活性₂ ö ₃ -Ce ₂ O ₃系统。此外，CaO-Al ₂ O ₃ -Ce ₂ O ₃中氧化物的等活性曲线 三元系统分别估计为 1500 °C、1550 °C 和 1600 °C。