A simple generalization of the Hildebrand equation is presented for the prediction of the solid–liquid phase diagram of a binary mixture of structuring agents dissolved in an inert liquid. The model is a thermodynamic interpolation between three well‐known limits: (1) the freezing depression curve of liquid A under influence of the addition of the solvent, (2) the freezing depression curve of liquid B under influence of the addition of the solvent, and (3) the binary solid–liquid phase diagram of substances A and B. The theory is shown to be valid as long as the freezing temperature of the liquid is well below the freezing temperatures of the structurants. The theory is compared to literature data for three different mixtures: (1) stearyl alcohol and stearic acid dissolved in sunflower oil, (2) hentriacontane+melissic acid in safflower oil, and (3) lauric acid + behenic acid in canola oil. The agreement between the thermodynamic calculation and experimental data is good. The solid–liquid phase behavior of glyceryl tristearate + stearic acid in edible oil is also studied. The location of the eutectic point of the latter system is predicted to shift toward an axis with zero tristearate concentration as the structurant concentration decreases from 50% to 5% (w/w).

中文翻译：

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惰性油中溶解的二元混合物的固液相图：在可形成有机凝胶的三元混合物中的应用

给出了希尔德布兰德方程的简单概括，用于预测结构化剂溶解在惰性液体中的二元混合物的固液相图。该模型是在三个众所周知的极限之间的热力学插值：（1）在溶剂添加的影响下液体A的冻结下降曲线，（2）在溶剂添加的影响下液体B的冻结下降曲线（3）物质A和B的二元固液相图。只要液体的冻结温度远低于结构剂的冻结温度，该理论就有效。将该理论与三种不同混合物的文献数据进行了比较：（1）溶于葵花籽油的硬脂醇和硬脂酸，（2）红花油中的三二十烷烷+三水杨酸，（3）低芥酸菜子油中的月桂酸+山hen酸。热力学计算与实验数据吻合良好。还研究了三硬脂酸甘油酯+硬脂酸在食用油中的固液相行为。随着结构化剂浓度从50％降低到5％（w / w），预计后一个系统的共晶点位置将朝着三硬脂酸酯浓度为零的轴移动。