Ever-increasing interests for more accurate thermodynamic predictions of phase diagrams motivate the development of more reliable thermodynamic models. The Modified Quasichemical Model within the two-sublattice Quadruplet Approximation (MQMQA) was thus established in well response to these interests and motivations. However, the model still needs to be further improved in order to have better thermodynamic predictions of general reciprocal solutions. The present paper proposes a new and generic formalism to characterize the Gibbs energy of the ternary reciprocal quadruplet within the framework of the MQMQA. The new formalism is developed by circumventing the problem spawned from solving the singular matrix of mass equations. As a result, energy landscapes of reciprocal solutions can be better defined everywhere in reciprocal composition spaces. With the current improvement, the MQMQA is believed to be one of the most reliable thermodynamic models for various types of solutions with or without short-range ordering.

对更准确的相图热力学预测的兴趣日益增加，促使开发更可靠的热力学模型。因此，为了很好地响应这些兴趣和动机，在二亚晶格四元组近似 (MQMQA) 中建立了修正的准化学模型。然而，该模型仍需要进一步改进，以便对一般互易解有更好的热力学预测。本论文提出了一种新的通用形式来表征 MMQA 框架内的三元倒数四元组的吉布斯能量。新形式主义是通过规避求解质量方程的奇异矩阵所产生的问题而发展起来的。因此，可以在互惠组合空间中的任何地方更好地定义互惠解决方案的能量景观。