Calphad-computer Coupling of Phase Diagrams and Thermochemistry最新文献

{"title":"Thermodynamic assessment of the Eu-Rh system by the combination of ab-initio calculations and CALPHAD approach","authors":"H. Bouchta ,&nbsp;A. Bendarma ,&nbsp;D.O. Poletaev ,&nbsp;M.A. Boukideur ,&nbsp;S. Kardellass ,&nbsp;N. Selhaoui ,&nbsp;L. Rabhi ,&nbsp;M. Idbenali","doi":"10.1016/j.calphad.2025.102805","DOIUrl":"10.1016/j.calphad.2025.102805","url":null,"abstract":"<div><div>In this work, a standard enthalpies of formation for metal compounds within the Eu-Rh system were determined using first-principles calculations within the framework of density functional theory (DFT). The system analysis was carried out by employing thermodynamic data and phase diagram information sourced from literature, and a CALPHAD-type optimization and Thermo-Calc software.</div><div>The Eu-Rh phase diagram includes four intermetallic compounds: <span><math><mrow><msub><mtext>Eu</mtext><mn>9</mn></msub><mtext>Rh</mtext><mo>,</mo><msub><mtext>Eu</mtext><mn>3</mn></msub><mtext>Rh</mtext><mo>,</mo><msub><mtext>Eu</mtext><mn>5</mn></msub><mtext>Rh</mtext><mspace></mspace><mtext>and</mtext><mspace></mspace><mtext>Eu</mtext><msub><mtext>Rh</mtext><mrow><mn>2</mn><mspace></mspace><mo>.</mo><mspace></mspace></mrow></msub></mrow></math></span> All phases present a stoichiometry, except the <span><math><mrow><mtext>Eu</mtext><msub><mtext>Rh</mtext><mrow><mn>2</mn><mspace></mspace></mrow></msub><mtext>,</mtext></mrow></math></span> which has a homogeneity range and was modeled using a two-sublattice model with substitution in each sublattice.</div><div>To describe the additional term of the Gibbs energy (<span><math><mrow><mmultiscripts><mi>G</mi><mprescripts></mprescripts><none></none><mtext>ex</mtext></mmultiscripts><mo>)</mo></mrow></math></span> for the liquid phase and the solid solution within the Eu-Rh system, a solution model has been used. The liquid phase was characterized using the linear dependence of the Redlich-Kister model. The individual Gibbs energies include temperature-dependent contributions for all compounds. A comparative analysis shows a good agreement between the enthalpies of formation calculated in this study using the VASP method and current literature data. Finally, a set of self-consistent thermodynamic parameters for the Eu-Rh system was derived.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102805"},"PeriodicalIF":1.9,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180685","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 phase diagram study of the Ni-rich part of the Ni–Cr–Mo ternary system","authors":"Ryota Nagashima,&nbsp;Masao Takeyama","doi":"10.1016/j.calphad.2025.102802","DOIUrl":"10.1016/j.calphad.2025.102802","url":null,"abstract":"<div><div>Experimental studies were conducted to investigate the phase equilibria of the Ni-rich portion of the Ni–Cr–Mo ternary system using scanning electron microscopy and electron probe microanalysis of heat-treated alloys. Experimental isothermal sections involving L-liquid, γ-Ni, P-NiCrMo, NiMo, Ni₃Mo, and Ni₂(Cr, Mo)-<em>oP</em>6 phases were constructed at temperatures below 1573 K. Two distinct liquid phase regions with varying compositions were observed at 1573 K, indicating a phase separation of the liquid phase (L → L₁ + L₂). This can result in the presence of two ternary eutectic reactions: L₁ → γ + P + NiMo and L₂ → γ + σ + P. The Ni₂Cr phase in the binary system was stabilized by substituted Cr by Mo at temperatures above 200 K. The Ni₂(Cr, Mo)-<em>oP</em>6 single-phase region existed as an island around the composition of Ni–9Cr–24Mo (at.%) at 1073 K. The experimentally identified γ + <em>oP</em>6 + Ni₃Mo and γ + P + <em>oP</em>6 regions suggest that the <em>oP</em>6 phase is formed by a ternary peritectoid reaction (γ + P + Ni₃Mo → <em>oP</em>6). Based on these results, the reaction pathways related to the liquid and <em>oP</em>6 phases in the Ni–Cr–Mo ternary system were modified.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102802"},"PeriodicalIF":1.9,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180686","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}

{"title":"Experimental investigation and thermodynamic optimization of the Ni–Ta–Ti system","authors":"Kai Liang,&nbsp;Linna Shen,&nbsp;Cuiping Guo,&nbsp;Changrong Li,&nbsp;Zhenmin Du","doi":"10.1016/j.calphad.2025.102803","DOIUrl":"10.1016/j.calphad.2025.102803","url":null,"abstract":"<div><div>The liquidus surface projection of the Ni–Ta–Ti system was constructed in this work. Thirty-seven as-cast alloys were characterized using scanning electron microscope equipped with energy dispersive spectrometer (SEM/EDS) and X-ray diffraction (XRD) methods to analyze the primary phases and solidification paths of alloys. Ten primary solidification regions of bcc(Ta,Ti), fcc(Ni), NiTi, NiTi₂, NiTa₂, Ni₂Ta, Ni₃Ta, Ni₃Ti, μ and τ were determined. The crystal structure of the intermetallic phase τ was identified as the Ni₃Sn type with space group <em>P</em>6₃/<em>mmc</em>. Moreover, the thermodynamic parameters of the Ni–Ta–Ti system were optimized via the CALculation of PHAse Diagram (CALPHAD) method based on the available experimental data. In this work, NiTi₂, Ni₃Ti, NiTa₂, Ni₂Ta, Ni₃Ta and τ were modelled by two-sublattice model (Ni,Ta,Ti)_<em>m</em>(Ni,Ta,Ti)_<em>n</em>. A four-sublattice model (Ni,Ta,Ti)₁(Ta,Ti)₄(Ni,Ta,Ti)₂(Ni,Ta,Ti)₆ was adopted to describe μ. The calculated liquidus surface projection and isothermal sections with the obtained thermodynamic parameters were consistent with the experimental data.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102803"},"PeriodicalIF":1.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181092","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":"User-friendly and robust Calphad optimizations using Calphad Optimizer in FactSage","authors":"B. Reis ,&nbsp;F. Tang ,&nbsp;P. Keuter,&nbsp;M. to Baben","doi":"10.1016/j.calphad.2025.102800","DOIUrl":"10.1016/j.calphad.2025.102800","url":null,"abstract":"<div><div>The Calphad Optimizer available since FactSage 8.2 is presented. It contains both a user-friendly graphical interface, as well as input and output files that are easily readable by humans and machines. For a number of typical experiments (liquidus and solidus temperatures, two-phase equilibria, heat of mixing, heat of reaction, enthalpy increment) tailored recipes exist to enable beginners and non-specialists the input of the relevant data. For many other experimental data, user-defined experiments can also be created. Two different optimizers are currently implemented. While running the optimization, the user is presented with graphs showing the convergence progress, both globally (error sum vs. iteration), as well as for each experiment (comparison between experimental and calculated data) and for each optimization parameter (error sum vs. parameter value). As a first post-processing option, phase formation maps can be calculated.</div><div>In the latest version of the Calphad Optimizer, available since FactSage 8.3, the error sum is calculated primarily based on Gibbs energy differences, not the raw experimental data. The details of the implementation are described. Using the Pb-Sn and Cr-Ni systems as examples, we show how the change in the error sum calculation increases robustness and speed of the optimization, making one-shot Calphad database optimizations possible.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"88 ","pages":"Article 102800"},"PeriodicalIF":1.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143181095","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 modeling of the KCl-LiCl-NaCl-UCl3 system for molten salt electrolysis and reprocessing of spent nuclear fuel","authors":"Soumya Sridar ,&nbsp;Liangyan Hao ,&nbsp;Thomas Kirtley ,&nbsp;Ethan Schneider ,&nbsp;Toni Karlsson ,&nbsp;Guy L. Fredrickson ,&nbsp;Elizabeth Sooby ,&nbsp;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 UCl₃ 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-UCl₃ 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-UCl₃ and LiCl-NaCl-UCl_3, were determined using differential scanning calorimetry. The thermodynamic parameters for pure UCl₃ were optimized for liquid and solid states over a wide temperature range. Several constituent binary (AkCl-UCl₃; Ak: K, Li, Na) and ternary (KCl-LiCl-UCl₃, KCl-NaCl-UCl₃ and LiCl-NaCl-UCl₃) systems were assessed or reassessed in this work. A new intermediate phase (K₃UCl₆) was included in the reassessment for the KCl-UCl₃ 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 UCl₃ 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}

{"title":"Thermal conductivity calculation of Fe-Al-Ni alloys by CALPHAD method","authors":"Xi Li ,&nbsp;Minsi Liao ,&nbsp;Chong Chen ,&nbsp;Cong Zhang ,&nbsp;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}

{"title":"High-throughput determination of interdiffusivities and atomic mobilities in Fcc Co-Ni-V alloys","authors":"Qian Li ,&nbsp;Yuling Liu ,&nbsp;Huixin Liu ,&nbsp;Hong Ke ,&nbsp;Jinyao Fan ,&nbsp;Xiangyang Yin ,&nbsp;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 ,&nbsp;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 ,&nbsp;Chen Shen ,&nbsp;Nuno M. Fortunato ,&nbsp;Hongbing Zhang ,&nbsp;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}

{"title":"Thermodynamic modeling of multicomponent MX phases (M= Nb,Ti,V; X=C,N) in steel","authors":"Aurélie Jacob ,&nbsp;Evelyn Sobotka ,&nbsp;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}