Soumya Sridar , Liangyan Hao , Thomas Kirtley , Ethan Schneider , Toni Karlsson , Guy L. Fredrickson , Elizabeth Sooby , Wei Xiong
{"title":"Thermodynamic modeling of the KCl-LiCl-NaCl-UCl3 system for molten salt electrolysis and reprocessing of spent nuclear fuel","authors":"Soumya Sridar , Liangyan Hao , Thomas Kirtley , Ethan Schneider , Toni Karlsson , Guy L. Fredrickson , Elizabeth Sooby , Wei Xiong","doi":"10.1016/j.calphad.2025.102801","DOIUrl":"10.1016/j.calphad.2025.102801","url":null,"abstract":"<div><div>Sodium-cooled fast reactors utilize metallic fuels that include bond-sodium within the fuel element. Molten salt electrolysis at 773 K with eutectic KCl-LiCl mixed with UCl<sub>3</sub> as an electrolyte can recover the actinides from spent fuel. The critical factor affecting the useful life of the electrolyte is the increase in liquidus temperature from the accumulation of lanthanides, actinides, and sodium. Therefore, thermodynamic modeling of the KCl-LiCl-NaCl-UCl<sub>3</sub> system was carried out by considering experimental data from the present work and literature as input. The liquidus and solidus temperatures for the two ternary systems, KCl-NaCl-UCl<sub>3</sub> and LiCl-NaCl-UCl<sub>3,</sub> were determined using differential scanning calorimetry. The thermodynamic parameters for pure UCl<sub>3</sub> were optimized for liquid and solid states over a wide temperature range. Several constituent binary (AkCl-UCl<sub>3</sub>; Ak: K, Li, Na) and ternary (KCl-LiCl-UCl<sub>3</sub>, KCl-NaCl-UCl<sub>3</sub> and LiCl-NaCl-UCl<sub>3</sub>) systems were assessed or reassessed in this work. A new intermediate phase (K<sub>3</sub>UCl<sub>6</sub>) was included in the reassessment for the KCl-UCl<sub>3</sub> system. There is good agreement between the experimental and calculated thermochemical and phase diagram data for all the systems optimized in the present work. This work is beneficial to determine the effect of NaCl on the liquidus temperature and other thermodynamic properties of KCl-LiCl electrolyte mixed with UCl<sub>3</sub> for improving the efficiency of molten salt electrolysis.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102801"},"PeriodicalIF":1.9,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xi Li , Minsi Liao , Chong Chen , Cong Zhang , Shizhong Wei
{"title":"Thermal conductivity calculation of Fe-Al-Ni alloys by CALPHAD method","authors":"Xi Li , Minsi Liao , Chong Chen , Cong Zhang , Shizhong Wei","doi":"10.1016/j.calphad.2025.102799","DOIUrl":"10.1016/j.calphad.2025.102799","url":null,"abstract":"<div><div>The Fe-Al-Ni alloys are widely used in the thermal management systems of electronic devices and the production of electromagnetic components because of their high heat dissipation characteristics. In this work, the thermal conductivity of the Fe-Al-Ni system was evaluated by means of CALPHAD (CALculation of PHAse Diagrams) method. The thermal conductivity of solid solutions was described using Redlich-Kister interaction parameters. For alloys in a two-phase region, an interface thermal resistance parameter was introduced into the model to account for the impedance of interfaces on heat transfer. The corresponding parameters for the pure element, binary and ternary systems were optimized, which enables the modeling exhibit good consistency with the experimental data. This work is helpful for predicting the thermal conductivity of Fe-Al-Ni alloys system during the industrial production process and provide key thermophysical properties for microstructure and processing simulations.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102799"},"PeriodicalIF":1.9,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181094","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}
Qian Li , Yuling Liu , Huixin Liu , Hong Ke , Jinyao Fan , Xiangyang Yin , Yong Du
{"title":"High-throughput determination of interdiffusivities and atomic mobilities in Fcc Co-Ni-V alloys","authors":"Qian Li , Yuling Liu , Huixin Liu , Hong Ke , Jinyao Fan , Xiangyang Yin , Yong Du","doi":"10.1016/j.calphad.2024.102796","DOIUrl":"10.1016/j.calphad.2024.102796","url":null,"abstract":"<div><div>Accurate diffusion kinetics of Co-Ni-V medium entropy alloys can guide alloy composition and process design, facilitating further exploration of their performance potential. Totally twelve diffusion couples close to the Co-Ni binary side were assembled, and their composition profiles were measured by EPMA to determine the diffusivity of Fcc Co-Ni-V alloys at 1273, 1373 and 1473 K. The interdiffusivities along the whole composition profiles and the atomic mobilities of Fcc Co-Ni-V alloys were evaluated by the numerical inverse approach incorporated in CALTPP program (CALculation of ThermoPhysical Properties). The obtained interdiffusivities were further compared with those calculated by the Matano-Kirkaldy method, which can accurately determine the diffusivities at the intersection compositions of two diffusion paths. Meanwhile, the model-predicted composition profiles and diffusion paths of Co-Ni-V alloys show good agreements with the experimental ones, validating the accuracy of the presently obtained atomic mobilities. Furthermore, the presently assessed atomic mobility parameters coupled with thermodynamic description of Fcc Co-Ni-V alloys were applied in calculating interdiffusivities, activation energies and frequency factors.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102796"},"PeriodicalIF":1.9,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181080","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":"Computational-thermodynamics-based martensite-start temperature models","authors":"Matthew Frichtl , Sreeramamurthy Ankem","doi":"10.1016/j.calphad.2024.102776","DOIUrl":"10.1016/j.calphad.2024.102776","url":null,"abstract":"<div><div>Thermodynamic models for the austenite-to-martensite phase transformation in steels were developed using the CALculation of PHase Diagrams (CALPHAD) modeling method. Previous modeling efforts from early empirical to more modern machine-learning (ML) models are reviewed and compared with the CALPHAD approach. An open-source, multicomponent thermodynamic database for steels was developed and used for the martensite model is made available for public use and collaboration. CALPHAD-based models for lath, plate, and epsilon martensite, including the effects of prior-austenite grain size, were developed using experimental data for binary and ternary iron alloys. A Gaussian process classification ML model was developed to predict the type of martensite that will form given a steel composition and martensite-start temperature (<span><math><msub><mrow><mi>M</mi></mrow><mrow><mtext>s</mtext></mrow></msub></math></span>) because this information is not always reported with the experimental measurements. The lath and plate models extend previous work using updated thermodynamic assessments and the open-source database while the epsilon model is made available for the first time. The accuracy of each model was also assessed and found to be reasonable compared to the expected experimental error associated with <span><math><msub><mrow><mi>M</mi></mrow><mrow><mtext>s</mtext></mrow></msub></math></span> measurements.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102776"},"PeriodicalIF":1.9,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180687","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":"Third generation Calphad: Thermodynamic assessment of the Ni-Ga system with physics-based models","authors":"Liangyan Hao , Chen Shen , Nuno M. Fortunato , Hongbing Zhang , Wei Xiong","doi":"10.1016/j.calphad.2024.102797","DOIUrl":"10.1016/j.calphad.2024.102797","url":null,"abstract":"<div><div>Prediction of phase equilibria, phase stability, and thermodynamic properties is crucial in materials science. The second generation Calphad (CALculation of PHAse Diagrams) method faces challenges at low temperatures and in magnetic property predictions. To address these issues, the third generation Calphad is being developed, but its application has been limited primarily to unary systems, i.e., pure elements. Here we show the successful optimization of the Ni-Ga system, characterized by low melting point of Ga, magnetism of Ni, and ordered phases, using third generation thermodynamic models. We calculated the magnetic properties of fcc and bcc solution phases using Density Functional Theory (DFT) and fitted them with an improved magnetic model. Ordered phases were described using a four-sublattice model. The resulting parameters accurately reproduce experimental phase diagrams and thermochemical properties. This study demonstrates the successful application of the Equal Entropy Criteria (EEC) in a system where the constituent elements show quite different melting points. This work establishes a foundation for applying third generation Calphad to complex alloy systems, potentially enhancing the accuracy of material design and thus accelerating new materials development.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102797"},"PeriodicalIF":1.9,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Aurélie Jacob , Evelyn Sobotka , Erwin Povoden-Karadeniz
{"title":"Thermodynamic modeling of multicomponent MX phases (M= Nb,Ti,V; X=C,N) in steel","authors":"Aurélie Jacob , Evelyn Sobotka , Erwin Povoden-Karadeniz","doi":"10.1016/j.calphad.2024.102795","DOIUrl":"10.1016/j.calphad.2024.102795","url":null,"abstract":"<div><div>The microstructure and properties of micro-alloyed steels are controlled by small concentrations of the elements Nb, Ti, V. In combination to C and N they form so-called FCC-structured carbonitride phase, producing a miscibility gap with FCC-Fe. In the present work, we review and assessed the available thermodynamic modeling of the MX phases in the framework of applied Calphad to computational thermodynamics and kinetics. Within this work, it was found that binary alloy system such as Fe-Nb, Nb-C and Nb-N as well as ternary M-(C,N) (M standing for metal) needed to be re-optimized in order to get accurate descriptions for multicomponent extensions with relevance for simulations in micro-alloyed steels. The reassessed description is edited in an open-source multi-component thermodynamic database (mc_fe_MX) and used to calculate physical interfacial energy which can be used for predictive precipitation simulation.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102795"},"PeriodicalIF":1.9,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lianfeng Yang , Yinping Zeng , Olga Fabrichnaya , Ligang Zhang , Yuling Liu , Yong Du
{"title":"Critical evaluation and thermodynamic reassessment of the Na2O-SiO2 system","authors":"Lianfeng Yang , Yinping Zeng , Olga Fabrichnaya , Ligang Zhang , Yuling Liu , Yong Du","doi":"10.1016/j.calphad.2024.102791","DOIUrl":"10.1016/j.calphad.2024.102791","url":null,"abstract":"<div><div>Thermodynamic investigation of the Na<sub>2</sub>O-SiO<sub>2</sub> system is extremely significant for the silicate glass industry and the control of Na<sub>2</sub>O balance in the input materials of blast furnaces. The Na<sub>2</sub>O-SiO<sub>2</sub> system has been thermodynamically assessed numerous times in the previous studies. However, the phase equilibria in the Na<sub>2</sub>O-rich side remain inadequately described. Consequently, the Na<sub>2</sub>O-SiO<sub>2</sub> system was reassessed by the CALPHAD approach in the present work. The liquid phase was described by using the two-sublattice partially ionic liquid model (Na<sup>+1</sup>)<sub><em>P</em></sub>(O<sup>−2</sup>,SiO<sub>4</sub><sup>−4</sup>,SiO<sub>2</sub>)<sub><em>Q</em></sub> and six intermediate compounds were treated as stoichiometric compounds due to their limited solid solubilities. A set of self-consistent thermodynamic parameters was then obtained, and the experimental phase diagram data and thermodynamic properties can be satisfactorily reproduced by the calculation within the experimental errors. The present thermodynamic parameters contribute to the composition design of silicate glass and the formulation of input materials in blast furnaces.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102791"},"PeriodicalIF":1.9,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181074","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":"Experimental investigation and thermodynamic re-assessment of the Fe-Ni-W phase diagram","authors":"C.B. Li, Y. Zhang, Z.Q. Wang, D.Y. Shen, K.G. Wang, L.B. Liu, L.G. Zhang","doi":"10.1016/j.calphad.2024.102793","DOIUrl":"10.1016/j.calphad.2024.102793","url":null,"abstract":"<div><div>The isothermal sections of the Fe-Ni-W ternary system at 1073 K and 1273 K were determined using the equilibrium alloy method. The solubility of the third element in the μ-Fe₇W₆, λ-Fe₂W, NiW, and Ni₄W compounds within the Fe-Ni-W ternary system was further refined. In the isothermal sections at 1073 K and 1273 K, 5 three-phase regions and 11 two-phase regions at 1073 K, and 3 three-phase regions and 7 two-phase regions at 1273 K, respectively, were confirmed. No ternary compounds were observed. Based on the existing data of the Fe-Ni-W ternary system and the related binary systems, the thermodynamic reassessment of the Fe-Ni-W ternary system was carried out using the phase diagram calculation method. A new thermodynamic database for the Fe-Ni-W ternary system was developed, and the experimental data showed excellent consistency with the calculated results.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102793"},"PeriodicalIF":1.9,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181073","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":"HitDIC software with graphical user interface for automatic development of diffusion databases in multicomponent alloys","authors":"Jing Zhong, Haoyue Ling, Shiyao Chen, Jing Yang, Lijun Zhang","doi":"10.1016/j.calphad.2024.102794","DOIUrl":"10.1016/j.calphad.2024.102794","url":null,"abstract":"<div><div>Diffusion databases serve as essential parameters for computational simulations and designs of materials. But how to efficiently acquire diffusion information remains as one challenging task for the construction of material databases. The HitDIC (High-throughput Determination of Interdiffusion Coefficients) software integrates numerical inverse method, atomic mobility parameter uncertainty quantification method, and automated parameter optimization method, providing algorithms support for the automated construction of multicomponent alloy diffusion databases. To elevate the user experience and streamline interactions, an intuitive user interface is therefore currently designed and developed. Data curation, pre-processing and algorithm-driven assessment aiming at developing high-quality atomic mobility database are therefore made accessible to users with varying levels of technical expertise. Post-processing and manipulating diffusion information from developed diffusion database are also provided so as to facilitate their applications for material computational design based on diffusion data. One can freely access to the Windows version of HitDIC with graphical user interface released through <span><span>https://hitdic.com</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102794"},"PeriodicalIF":1.9,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181075","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}
Xinneng Wang , Manxiu Zhao , Xinlong He , Zhaohui Long , Fucheng Yin
{"title":"Experimental investigation and thermodynamic calculation of phase equilibria in the ternary Si-Zn-Zr system","authors":"Xinneng Wang , Manxiu Zhao , Xinlong He , Zhaohui Long , Fucheng Yin","doi":"10.1016/j.calphad.2024.102789","DOIUrl":"10.1016/j.calphad.2024.102789","url":null,"abstract":"<div><div>The phase equilibria of the Si-Zn-Zr ternary system at 450 °C and 600 °C were studied using the equilibrium alloy method. The phase constitution of the alloys were analyzed by means of the scanning electron microscope equipped with energy dispersive X-ray spectroscopy (SEM-EDS), and X-ray diffraction (XRD). The results show that eleven three-phase regions exist in the isothermal section at 450 °C, and twelve three-phase zones exist in the isothermal section at 600 °C. A ternary compound Zr<sub>6</sub>Zn<sub>23</sub>Si was found to exist in the isothermal section at 600 °C. The solubility of the third component in the binary compounds was determined. Combined with experimental results and literature data, the thermodynamic calculation of the Si-Zn-Zr ternary system was carried out using the CALPHAD (Calculation of Phase Diagrams) method. A set of self-consistent thermodynamic parameters for the Si-Zn-Zr ternary system was obtained. The calculated results are in good agreement with the experiment data.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102789"},"PeriodicalIF":1.9,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181076","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}