Calorimetric Studies and Thermodynamic Modeling of Ag-Mg-Ti Liquid Alloys

Due to the absence of thermodynamic data concerning the Ag-Mg-Ti system in the existing literature, this study aims to fill this gap by offering the outcomes of calorimetric investigations conducted on ternary liquid solutions of these alloys. The measurements were performed using the drop calorimetry method at temperatures of 1294 K and 1297 K for the liquid solutions with the following constant mole fraction ratio: x_Ag/x_Mg = 9/1, 7/3, 1/1, 3/7 [(Ag_0.9Mg_0.1)_1-xTi_x, (Ag_0.7Mg_0.3)_1-xTi_x, (Ag_0.5Mg_0.5)_1-xTi_x, (Ag_0.3Mg_0.7)_1-xTi_x)], and x_Ag/x_Ti = 19/1 [(Ag_0.95Ti_0.05)_1-xMg_x]. The results show that the mixing enthalpy change is characterized by negative deviations from the ideal solutions and the observed minimal value equals -13.444 kJ/mol for the Ag_0.95Ti_0.05 alloy and x_Mg = 0.4182. Next, based on the thermodynamic properties of binary systems described by the Redlich-Kister model and the determined experimental data from the calorimetric measurements, the ternary optimized parameters for the Ag-Mg-Ti liquid phase were calculated by the Muggianu model. Homemade software (TerGexHm 1.0) was used to optimize the calorimetric data using the least squares method. Next, the partial and molar thermodynamic functions were calculated and are presented in the tables and figures. Moreover, this work presents, for comparative purposes, the values of the enthalpy of mixing of liquid Ag-Mg-Ti alloys, which were calculated using Toop's model. It was found that the best agreement between the modeled and experimental data was observed for the cross-sections x_Ag/x_Ti = 19/1 [(Ag_0.95Ti_0.05)_1-xMg_x] and x_Ag/x_Mg = 9/1 [(Ag_0.9Mg_0.1)_1-xTi_x]. The results of the experiments presented in this paper are the first step in the investigation and future evaluation of the thermodynamics of phases and the calculation of the phase diagram of the silver-magnesium-titanium system.