Weiyin Huang , Wei Yang , Xiaozhong Huang , Zhi Li , Xinming Wang , Peisheng Wang , Shuhong Liu , Yong Du
{"title":"Experimental determination and thermodynamic assessment of the Fe-Dy-Y system","authors":"Weiyin Huang , Wei Yang , Xiaozhong Huang , Zhi Li , Xinming Wang , Peisheng Wang , Shuhong Liu , Yong Du","doi":"10.1016/j.calphad.2025.102893","DOIUrl":"10.1016/j.calphad.2025.102893","url":null,"abstract":"<div><div>Phase equilibria of the Fe-Dy-Y system are essential for developing Dy/Y substituted Nd-Fe-B permanent magnets. In this work, the isothermal phase diagrams at 973 K and 773 K of the system were investigated by electron probe microanalysis (EPMA) and X-ray diffraction (XRD). Given the exceptionally slow diffusion kinetics of rare earth elements, achieving thermodynamic equilibrium necessitated prolonged annealing times of up to 130 days at 773 K, as confirmed by microstructural evolution studies. Key findings include the absence of ternary compounds and the formation of continuous solid solutions across the Dy-Y join for all binary intermetallic phases, except the Fe<sub>17</sub>RE<sub>2</sub> phase. The liquidus and solidus of selected alloys were analyzed by differential scanning calorimetry (DSC). The CALPHAD assessment of the Fe-Dy-Y system was performed, which is consistent with the experimental data.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102893"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145462610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hantong Chen , Qi-Jun Hong , Alexandra Navrotsky , Axel van de Walle
{"title":"A computational free energy reference for mechanically unstable phases","authors":"Hantong Chen , Qi-Jun Hong , Alexandra Navrotsky , Axel van de Walle","doi":"10.1016/j.calphad.2025.102869","DOIUrl":"10.1016/j.calphad.2025.102869","url":null,"abstract":"<div><div>The CALPHAD (CALculation of PHAse Diagram) framework relies heavily on the availability of a well-defined free energy for all possible phases, including metastable and even mechanically unstable phases. However, for phases that exhibit mechanical instability, the determination of the free energy represents a challenge, both experimentally and computationally. This situation hinders the seamless integration of experimental and ab initio thermodynamic data. A newly developed method, named “inflection-detection”, provides a practical computational solution to this problem with a sound theoretical basis. Extending upon existing energy calculations at absolute zero, we provide further evidence of this method’s effectiveness by computing the temperature-dependent free energy references for 22 elemental structures involving mechanically unstable phases and showing that they are reasonably consistent with the (often wide) range of values determined in earlier experimental assessments. This suggests the feasibility of a reliable computation-based reference free energy standard for mechanically unstable pure elements.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102869"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145060883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"High-pressure, high-temperature CALPHAD modelling of Ir–Os–Pt system","authors":"Julien Garcia, Jean-Marc Joubert","doi":"10.1016/j.calphad.2025.102889","DOIUrl":"10.1016/j.calphad.2025.102889","url":null,"abstract":"<div><div>In this paper, we use the CALPHAD method to describe iridium at high pressure and high temperature, based on the Lu's model as revisited by Joubert et al. (<em>Calphad: Comput. Coupling Phase Diagrams Thermochem.</em>, 74 (2021) 102304). A comprehensive literature review allowed us to obtain the equation of state for both the solid and liquid phases of Ir. We optimised the ambient-pressure phase diagrams of the Ir–Os and Ir–Pt systems with the experimental data from the literature and calculations performed in this study The successful reproduction of high-pressure experimental data for these alloys for the binary Ir–Os system, suggests a reliable description of both pure elements. Consequently, we can propose, for the first time, an extrapolation of the Ir–Os–Pt ternary diagram based on the descriptions of the binary systems.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102889"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145412538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Changjin Lei , Yan Liu , Man Li , Xun Ma , Qiyuan Yang , Ruihua Wang , Dupei Ma , Zhi Li
{"title":"Experimental determination and thermodynamic assessment of the phase equilibrium states of an Al–Cr–Ce ternary system","authors":"Changjin Lei , Yan Liu , Man Li , Xun Ma , Qiyuan Yang , Ruihua Wang , Dupei Ma , Zhi Li","doi":"10.1016/j.calphad.2025.102886","DOIUrl":"10.1016/j.calphad.2025.102886","url":null,"abstract":"<div><div>The phase equilibrium states of an Al−Cr−Ce ternary system were systematically investigated through experimental analysis and thermodynamic modeling. The 800 and 1000 °C isothermal sections of the Al−Cr−Ce ternary system were constructed using the equilibrium alloy method based on the results of scanning electron microscopy, energy-dispersive spectroscopy, and X-ray diffraction analyses. Fourteen three-phase equilibrium regions were confirmed and two three-phase equilibrium regions were speculated at 800 °C, whereas 10 three-phase equilibrium regions were determined and one three-phase equilibrium region was speculated at 1000 °C. Two new ternary compounds—τ3 and τ4—were discovered, and it was found that the τ3 phase was stable at both 800 and 1000 °C; however, the τ4 phase was only stable at 800 °C, and it disappeared at 1000 °C. In addition, four types of primary solidification regions—τ1, Al<sub>4</sub>Ce, Al<sub>2</sub>Ce, and (Cr)—were detected. Based on the experimental results obtained in this study and the data available from previous literature, the thermodynamic modeling of the Al−Cr−Ce ternary system was performed using the CALPHAD method, and a set of self-consistent thermodynamic parameters between the experimental and calculated results was satisfactorily obtained for the Al−Cr−Ce ternary system.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102886"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145263125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sang-Ho Oh , MinAh Baek , Jaemin Wang , Seughyo Noh , Minwoo Kang , Jihye Park , Do Sung Lee , Young-Su Lee , Taewook Na , Byeong-Joo Lee
{"title":"Thermodynamic modeling of hydrogenation of C14 TiMnx alloys","authors":"Sang-Ho Oh , MinAh Baek , Jaemin Wang , Seughyo Noh , Minwoo Kang , Jihye Park , Do Sung Lee , Young-Su Lee , Taewook Na , Byeong-Joo Lee","doi":"10.1016/j.calphad.2025.102871","DOIUrl":"10.1016/j.calphad.2025.102871","url":null,"abstract":"<div><div>C14 TiMn<sub>x</sub>-type alloys are promising hydrogen storage materials. However, their thermodynamic properties during hydrogenation cannot be easily predicted since their thermodynamics has not been modeled. Here, we present a CALPHAD-type thermodynamic description of the C14 TiMn<sub>2</sub>-H system. A sublattice model, [Mn,Ti]<sub>2</sub>[Mn,Ti]<sub>1</sub>[H,Va]<sub>3</sub>, was adopted for the C14 phase according to a first-principles calculation, and thermodynamic parameters were assessed using experimental pressure-composition-temperature data. The assessed thermodynamic parameter set reproduces the experimental pressure-composition-temperature data of C14 phases across different compositions. The present work provides a basis for thermodynamic modeling of hydrogenation in multicomponent C14 alloys and will contribute to the efficient design of hydrogen storage materials based on C14 alloys.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102871"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kangying Li, Ruihen Zhu, Fengxiang Zhao, Chengbo Li, Tonghan Yang
{"title":"The phase equilibria in the Ho-Fe-Ti ternary system at 1173 K","authors":"Kangying Li, Ruihen Zhu, Fengxiang Zhao, Chengbo Li, Tonghan Yang","doi":"10.1016/j.calphad.2025.102895","DOIUrl":"10.1016/j.calphad.2025.102895","url":null,"abstract":"<div><div>The phase equilibria in the Ho-Fe-Ti ternary system at 1173 K were investigated using X-ray diffraction (XRD) and scanning electron microscope (SEM). A new ternary compound, HoFe<sub>9</sub>Ti<sub>2</sub>, was identified under the studied conditions. In total, one ternary and six binary compounds were confirmed, namely HoFe<sub>11</sub>Ti, TiFe<sub>2</sub>, TiFe, Fe<sub>17</sub>Ho<sub>2</sub>, Fe<sub>23</sub>Ho<sub>6</sub>, Fe<sub>3</sub>Ho, Fe<sub>2</sub>Ho. The maximum solid solubility of Ti in Fe<sub>17</sub>Ho<sub>2</sub>, Fe<sub>23</sub>Ho<sub>6</sub>, Fe<sub>3</sub>Ho, and Fe<sub>2</sub>Ho was determined to be 4.2, 1.3, 5.4, and 7.3 at.%, respectively, while the maximum solid solubility of Ho in TiFe<sub>2</sub> was 0.9 at.%. Structural characterization of the HoFe<sub>9</sub>Ti<sub>2</sub> compound showed that this phase crystallizes in the tetragonal <em>P4/mbm</em> space group. The HoFe<sub>9</sub>Ti<sub>2</sub> phase exhibits lattice parameters of a = b = 0.82113(7) nm and c = 0.48057(6) nm. Structural characterization of the HoFe<sub>11</sub>Ti compound showed that this phase crystallizes in the tetragonal <em>I4/mmm</em> space group. The HoFe<sub>11</sub>Ti phase exhibits lattice parameters of a = b = 0.84911(7) nm and c = 0.47830(1) nm.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102895"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145462608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fali Liu , Hongyu Zhang , Zhiqiang Yu , Zhe Yuan , Weimin Bai , Ligang Zhang , Libin Liu
{"title":"Diffusion behaviors of BCC_B2 phase in Ni-Ti-Fe ternary system","authors":"Fali Liu , Hongyu Zhang , Zhiqiang Yu , Zhe Yuan , Weimin Bai , Ligang Zhang , Libin Liu","doi":"10.1016/j.calphad.2025.102890","DOIUrl":"10.1016/j.calphad.2025.102890","url":null,"abstract":"<div><div>High-throughput determination of the diffusion coefficients in the BCC_B2 phase of Ni-Ti-Fe shape memory alloys provides essential input parameters for multiphysics simulations, such as phase-field modeling, DICTRA simulations, and ICME-guided alloy design. In this study, 11 sets of diffusion couples were prepared and annealed at 1223 K, 1273 K, and 1323 K for 60 h,48 h, and 36 h, respectively. Composition-distance profiles at the diffusion interfaces were measured by Electron Probe Microanalysis. Interdiffusion coefficients were extracted via numerical inverse method, and the results were compared with those obtained by the traditional high-accuracy Matano–Kirkaldy method. The results of the two methods show strong consistency. Both composition-dependent and distance-dependent interdiffusion coefficients were established. Furthermore, the composition-dependent variations of the frequency factor and activation energy was evaluated based on the Arrhenius equation. These results offer a comprehensive insight into the diffusion behavior of the Ni-Ti-Fe system, providing critical data for kinetic modeling and alloy optimization.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102890"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145324861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiaoshu Wang , Ning Wang , Fupeng Liu , Jinfa Liao , Baojun Zhao
{"title":"Application and evaluation of thermodynamic modeling on phase equilibria of the CaO–MgO–SiO2–Al2O3–TiO2 system","authors":"Xiaoshu Wang , Ning Wang , Fupeng Liu , Jinfa Liao , Baojun Zhao","doi":"10.1016/j.calphad.2025.102880","DOIUrl":"10.1016/j.calphad.2025.102880","url":null,"abstract":"<div><div>Vanadium titanomagnetite (VTM) is a polymetallic ore of significant industrial value, serving as a primary source for iron and vanadium production through high-temperature processes like blast furnace operations. During smelting, the residual components from VTM and flux combine to form CaO-MgO-Al<sub>2</sub>O<sub>3</sub>-SiO<sub>2</sub>-TiO<sub>2</sub> slag systems. Accurate determination of slag liquidus temperatures is crucial for optimizing process parameters in industrial applications. This study employs thermodynamic modeling (FactSage) alongside experimental validation to investigate these properties. The experimental approach involves high-temperature equilibration, rapid quenching, and phase composition analysis using electron probe X-ray microanalysis (EPMA). The results provide critical validation of FactSage predictions regarding liquidus temperatures and solid solution formations in the slag system. These findings offer practical guidance for researchers and blast furnace operators in effectively utilizing FactSage for slag property simulations under operational conditions. Furthermore, the study demonstrates the application of pseudo-binary phase diagrams for slag composition optimization.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102880"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145046913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Daiman Zhu , Xiaohan Liu , Nele Moelans , Yongli Li
{"title":"Thermodynamic modelling and metallic glass region prediction for the Al-Ni-Gd ternary system","authors":"Daiman Zhu , Xiaohan Liu , Nele Moelans , Yongli Li","doi":"10.1016/j.calphad.2025.102896","DOIUrl":"10.1016/j.calphad.2025.102896","url":null,"abstract":"<div><div>The Al-Ni-Gd ternary system, a potential candidate as metallic glass alloy, has been thermodynamically assessed by CALPHAD approach based on available experimental data and new DFT calculations. For all phases in the system, the expressions of Gibbs energies are proposed and the related parameters are optimized, after the systematic integration of the literature reported descriptions of the Al-Ni, Al-Gd and Ni-Gd binary subsystems. DFT calculations are carried out in order to determine formation enthalpies of the stable and metastable compounds. For the isothermal sections at 1073 and 773 K, the comparisons between the results of computations with the data of experiments indicate that the proposed thermodynamic description can finely reproduce the phase equilibria of the Al-Ni-Gd ternary system. In addition, the liquidus projection, together with iso-pleth sections at 3 at.% Gd, 12 at.% Gd, 3 at.% Ni, and 10 at.% Ni, have been calculated to predict the metallic glass region within the Al-Ni-Gd ternary system, which aligns well with reported literature data. A set of self-consistent thermodynamic parameters has thus been derived for the Al-Ni-Gd ternary system, which contributes to the comprehensive development of a thermodynamic database for Al-based alloys.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102896"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145516660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermodynamic and kinetic studies of the performance effect of Al doping in the Ge-Sb-Te phase change materials","authors":"Dongyu Cui, Jiong Wang","doi":"10.1016/j.calphad.2025.102892","DOIUrl":"10.1016/j.calphad.2025.102892","url":null,"abstract":"<div><div>Ge-Sb-Te (GST) ternary materials are representative phase-change material (PCMs) known for their high speed, stability, and low power consumption. The 10-year data retention temperature can be improved by doping with Al, which raises the data retention capability. In this work, the thermal and kinetic descriptions of the Al-doped Ge-Sb-Te system are studied using the CALPHAD (CALculation of PHAse Diagram) and first-principles methods to study the effects of Al-doped Ge-Sb-Te phase change memory materials. First, the thermodynamic description of the Al-doped Ge-Sb-Te are determined. In this progress, the Al-Te binary system is reassessed based on the reported thermodynamic properties. For the ternary systems, seven Al-Ge-Sb alloys and five Al-Ge-Te alloys are employed to determine ternary phase equilibria, revealing no ternary compounds. The Al-Sb-Te ternary system is also assessed by integrating reported isothermal sections. Then, the MSD (mean square displacements) of Ge, Sb, and Te atoms in different systems and temperatures are calculated under the liquid and overcooled liquid state using the AIMD (Ab initio Molecular Dynamics) simulations, which are used to constructed a description of their atomic mobility. Finally, thermodynamic and kinetic description are used to quantitatively predict the amorphous stability, power consumption and amorphous forming ability of the Al-dopped Ge-Sb-Te phase-change materials. Research shows that Al can improve the above performance of the Ge<sub>2</sub>Sb<sub>2</sub>Te<sub>5</sub> phase. These analyses enhance our understanding of relation between thermodynamic properties and materials performance, offering valuable insights for the design and optimization of Al-doped Ge-Sb-Te phase change memory materials.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"91 ","pages":"Article 102892"},"PeriodicalIF":1.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145412540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}