Abstract—The paper analyzes the phases crystallizing in the Ca,Ba||F,Cl, ternary reciprocal system and describes ion-exchange and complexation reactions therein. The system is partitioned into simplexes using graph theory. A phase tree of the system has been designed, on the basis of which the number and compositions of phases crystallizing in stable elements have been predicted. A 3D model of the phase assemblage of the Ca,Ba||F,Cl system has been designed in the KOMPAS 3D v21 software. The presence of a quasi-binary eutectic and the stability of the crystallizing phases (CaF₂ and BaCl₂) on the CaF₂–BaCl₂ stable diagonal were confirmed by thermogravimetry (TG) and X-ray powder diffraction (XRD).

摘要：本文分析了 Ca,Ba||F,Cl 三元互易体系中的结晶相，并描述了其中的离子交换和络合反应。使用图论将系统划分为单纯形。设计了系统的相树，在此基础上预测了稳定元素中结晶相的数量和组成。Ca,Ba||F,Cl 系统相组合的 3D 模型已在 KOMPAS 3D v21 软件中设计。通过热重分析（TG）和X射线粉末衍射（XRD）证实了准二元共晶的存在以及CaF 2 –BaCl 2 稳定对角线上结晶相（CaF ₂和_BaCl 2 ）_的稳定性_。