L. Fenocchio , F. Larsson , L.-F. Zhu , Q. Chen , Z. He , G. Cacciamani , M. Selleby
{"title":"3rd generation CALPHAD modelling of high-melting pure elements aided by ab initio calculations: case study on Mo","authors":"L. Fenocchio , F. Larsson , L.-F. Zhu , Q. Chen , Z. He , G. Cacciamani , M. Selleby","doi":"10.1016/j.calphad.2026.102927","DOIUrl":null,"url":null,"abstract":"<div><div>A 3rd generation CALPHAD description for pure Mo is presented, with several approaches explored and the final optimized model parameters provided. The lattice stabilities of Mo are critically reviewed, and the inflection-detection method is recommended for their estimation. <em>Ab initio</em> data are employed to train a machine learning potential, which is then used to support the determination of the <em>instability temperature</em> and the modelling of the liquid phase. The thermodynamic properties of the various phases are successfully described, demonstrating an overall good agreement with the experimental data, even at low temperatures. The unique characteristics of Mo, including significant electronic and anharmonic contributions, are addressed during the modelling. The Equal Entropy Criterion (EEC) is adopted to avoid solid phase stabilization above the melting point. Each modelling choice is thoughtfully discussed and analysed, providing a comprehensive overview of the current best practice for 3rd generation CALPHAD modelling of pure high-melting elements like Mo.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"92 ","pages":"Article 102927"},"PeriodicalIF":1.9000,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0364591626000118","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/2/21 0:00:00","PubModel":"Epub","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
A 3rd generation CALPHAD description for pure Mo is presented, with several approaches explored and the final optimized model parameters provided. The lattice stabilities of Mo are critically reviewed, and the inflection-detection method is recommended for their estimation. Ab initio data are employed to train a machine learning potential, which is then used to support the determination of the instability temperature and the modelling of the liquid phase. The thermodynamic properties of the various phases are successfully described, demonstrating an overall good agreement with the experimental data, even at low temperatures. The unique characteristics of Mo, including significant electronic and anharmonic contributions, are addressed during the modelling. The Equal Entropy Criterion (EEC) is adopted to avoid solid phase stabilization above the melting point. Each modelling choice is thoughtfully discussed and analysed, providing a comprehensive overview of the current best practice for 3rd generation CALPHAD modelling of pure high-melting elements like Mo.
期刊介绍:
The design of industrial processes requires reliable thermodynamic data. CALPHAD (Computer Coupling of Phase Diagrams and Thermochemistry) aims to promote computational thermodynamics through development of models to represent thermodynamic properties for various phases which permit prediction of properties of multicomponent systems from those of binary and ternary subsystems, critical assessment of data and their incorporation into self-consistent databases, development of software to optimize and derive thermodynamic parameters and the development and use of databanks for calculations to improve understanding of various industrial and technological processes. This work is disseminated through the CALPHAD journal and its annual conference.