Thermodynamic modeling of the Sn–V binary system

The Sn–V binary system was thermodynamically modeled using the CALPHAD approach combined with first-principles calculations. The predicted Gibbs free energy of the end-members in sublattice models of “ V ₃Sn” phase by the first-principles calculations was used to describe the lattice stabilities. A set of thermodynamic parameters for the Sn–V system was obtained using the PanOptimizer program in Pandat software. The calculated phase diagram and thermodynamic properties agree well with the reported experimental data.     

Thermodynamic and ab initio investigation of the Cu–Dy system

A combined ab initio and thermodynamic study of the Cu–Dy system has been performed and a self-consistent thermodynamic database has been obtained. Density functional theory has been applied by using the VASP code in order to obtain the enthalpy of formation at 0 K of intermetallic compounds. Experimental information on the Cu–Dy phase diagram and thermodynamic properties of its alloys have been collected. Using these data, optimized parameters have been obtained by applying the CALPHAD approach. The present results reproduce the experimental data available reasonably well, although some features of the Cu–Dy system need to be further clarified.     

A thermodynamic description of the Al–Ca–Zn ternary system

A comprehensive thermodynamic database of the Al–Ca–Zn ternary system is presented for the first time. Critical assessment of the experimental data and re-optimization of the binary Al–Zn and Al–Ca systems have been performed. The optimized model parameters of the third binary system, Ca–Zn, are taken from the previous assessment of the Mg–Ca–Zn system by the same authors. All available as well as reliable experimental data both for the thermodynamic properties and phase boundaries are reproduced within experimental error limits. In the present assessment, the modified quasichemical model in the pair approximation is used for the liquid phase and Al_FCC phase of the Al–Zn system to account for the presence of the short-range ordering properly. Two ternary compounds reported by most of the research works are considered in the present calculation. The liquidus projections and vertical sections of the ternary systems are also calculated, and the invariant reaction points are predicted using the constructed database.     

Experimental investigation and thermodynamic description of the Cu-Cr-Zr system

The Cu-Cr-Zr ternary system was investigated via thermodynamic modeling coupled with key experiments. The isothermal section of the Cu-Cr-Zr system at 1123 K was determined by means of optical microscopy, X-ray diffraction and electron probe microanalysis, and the phase transformation temperatures were measured by differential scanning calorimetry. The Cu-Cr sub-binary system was re-assessed with a substitutional solution model for the solution phases to ensure its compatibility in multi-component system. A set of self-consistent thermodynamic parameters for the Cu-Cr-Zr systems was obtained using the CALPHAD (CALculation of PHAse Diagram) approach, and the calculated phase diagram is in a satisfactory agreement with the present experimental results and literature information. An increase of the thermodynamic stability for the CuZr and Cr₂Zr phases due to the ternary solubility is verified by calculation.     

Thermodynamic modeling of fcc order/disorder transformations in the Co-Pt system

The present work reports on a thermodynamic modeling of the Co-Pt system with ordered fcc phases of L1₀ and L1₂ structures by means of the CALPHAD method. The liquid, hcp and fcc phases have been modeled as substitutional solutions where the interaction parameters are composition dependent in the form of the Redlich-Kister polynomial. The disordered and ordered fcc phases have been modeled in terms of the compound energy formalism with a single Gibbs energy function. The obtained phase equilibria and activities of Co and Pt agree well with the available experimental data. First-principles calculations are performed to obtain the enthalpies of formation for the ordered fcc phases at 0 K. These calculated enthalpies of formations for the ordered phases are less negative than the enthalpies of the disordered state at low temperatures determined from the CALPHAD modeling. The Fe-Pt and Ni-Pt systems exhibit the same feature as that in the Co-Pt system, which is discussed in terms of the total magnetic moment of ordered fcc phases.     

Thermodynamic assessment of the Au–Ni system

The phase diagram and thermodynamic properties of the Au–Ni system have been assessed from experimental thermodynamic and phase diagram data by means of the CALPHAD method. A consistent set of thermodynamic parameters for each phase was obtained. Good agreement is reached between the calculated and experimental results. The calculated congruent point is 1214.3 K and 42.6 at.% Ni and the critical point of the miscibility gap is 1089.5 K and 73.0 at.% Ni.     

Thermodynamic assessment of the Si–N system

Motivated by the thermodynamic assessment of the Ga–N and In–N binaries, the thermodynamic parameters of the Si–N system are optimized in a similar way. The intermetallic compound Si₃N₄ is treated as stoichiometric and the terminal solution phase diamond_Si as the pure diamond_Si. The liquid solution phase is assumed to be a substitutional solution with Redlich–Kister formula for the expression of its excess Gibbs energy. The fugacity of nitrogen is considered when describing the behavior of the gas phase, especially with high pressure. The complete T–x phase diagram for the Si–N binary system is given. In this optimization a consistent thermodynamic data set for the Si–N system is obtained by means of CALPHAD (CALculation of PHAse Diagrams) method. The calculation results agree well with experiments.     

A thermodynamic reassessment of the La–Sn system

Thermodynamic modelling of the La–Sn binary system was carried out with the help of the CALPHAD (CALculation of PHAse Diagram) method. The liquid phase has been described with the association solution model with a ‘ La₁Sn₁’ associated complex. The intermetallic compounds were treated as stoichiometric phases. The calculated phase diagram and the thermodynamic properties of the system are in satisfactory agreement with the majority of the experimental data.     

Thermodynamic description of the Cu–Ag–Zr system

Based on the CALPHAD method, the Ag–Zr and Ag–Cu systems have been assessed thermodynamically. The excess Gibbs energy of the solution phases in the Cu–Ag–Zr system was modeled assuming random mixing of components. The ternary phase was defined as a stoichiometric compound due to the lack of efficient thermodynamic data. At first, parameters capable of describing all phases in the Ag–Zr and the Ag–Cu systems were assessed. Combined with the parameters of the Cu–Zr system assessed previously, the isothermal sections of the Cu–Ag–Zr system at 1023 K and 978 K were extrapolated, which can reproduce the measured phase-relations.