In the framework of the CALPHAD method, the thermodynamic assessment of the Cu–Ti–Hf system has been performed for the first time. This assessment considers the existence of homogeneity regions for Cu₃Ti₂, Cu₄Ti₃, CuTi, Cu₅Hf, Cu₅₁Hf₁₄, and Cu₁₀Hf₇ compounds and the formation of a continuous solid solution of Cu(Ti, Hf)₂ (γ-phase) in the ternary system. The thermodynamic assessments of the boundary binary systems and data on phase transformations and mixing enthalpy of melts in the ternary system became the basis for calculations. The Compound Energy Formalism was used to model the thermodynamic properties of intermetallic compounds with a homogeneity region. The associated solution model was used to describe the complex temperature dependence of the thermodynamic properties of melts from the temperature at which equilibrium melts exist to the glass-formation temperature. Upon the calculations, isothermal sections, vertical sections, projections of the liquidus and solidus surfaces, and reaction scheme of the phase diagram were presented. The liquid phase participates in eleven four-phase invariant reactions occurring in the temperature range 1138–1541 K. The diagrams of metastable phase transformations involving supercooled Cu–Ti–Hf melts and boundary solid solutions based on pure components were calculated. It is shown that supercooled melts in wide concentration ranges are thermodynamically stable in relation to boundary solid solutions based on pure components. The concentration region of glass formation for Cu–Ti–Hf melts by liquid quenching, predicted by the relative position of the \({T}_{0}^{L/\phi }\) and \({x}_{0}^{L/\phi }\) lines, is x_Cu ≈ 0.16–0.80.

在 CALPHAD 方法的框架下，首次对 Cu-Ti-Hf 体系进行了热力学评估。_{该评估考虑了 Cu 3} Ti ₂、Cu ₄ Ti ₃、CuTi、Cu ₅ Hf、Cu ₅₁ Hf ₁₄和 Cu ₁₀ Hf ₇化合物均质区域的存在以及 Cu(Ti, Hf 连续固溶体的形成) ) ₂三元体系中的（γ相）。边界二元系统的热力学评估以及三元系统中熔体的相变和混合焓数据成为计算的基础。化合物能量形式用于模拟具有均匀区域的金属间化合物的热力学性质。相关的解决方案模型用于描述熔体热力学性质的复杂温度依赖性，从平衡熔体存在的温度到玻璃形成温度。根据计算，给出了等温截面、垂直截面、液相线和固相线表面的投影以及相图的反应方案。液相参与 1138–1541 K 温度范围内发生的 11 个四相不变反应。计算了涉及过冷 Cu-Ti-Hf 熔体和基于纯组分的边界固溶体的亚稳态相变图。结果表明，较宽浓度范围内的过冷熔体相对于基于纯组分的边界固溶体具有热力学稳定性。Cu-Ti-Hf 通过液体淬火熔化形成玻璃的浓度区域，通过相对位置预测\({T}_{0}^{L/\phi }\)和\({x}_{0}^{L/\phi }\)线，则x _Cu ≈ 0.16–0.80。