{"title":"Phase Equilibria in the Ni-Ti-Zr System Part 3: Thermodynamic Description by the CALPHAD Approach","authors":"V. Witusiewicz, A. Storchak, M. Bulanova","doi":"10.1007/s11669-026-01264-0","DOIUrl":null,"url":null,"abstract":"<div><p>A comprehensive thermodynamic assessment of the Ni-Ti-Zr ternary system has been conducted using the CALPHAD (CALculation of PHAse Diagrams) methodology. Thermodynamic models for the constituent binary systems—Ni-Ti and Ni-Zr—were critically evaluated and refined based on recent experimental data and literature assessments. These models, along with an established description for the Ti-Zr system, were extrapolated to the ternary domain, where further optimization was performed using newly available experimental phase equilibria, isothermal sections, and invariant reactions. The resulting thermodynamic description captures the main features of the Ni-Ti-Zr phase diagram, including the liquidus and solidus projections, as well as the isothermal sections and isopleths. This model offers a useful basis for exploring and developing Ni-Ti-Zr-based materials, such as shape memory alloys, metallic glasses, and high-temperature structural alloys.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 Focus:","pages":"438 - 462"},"PeriodicalIF":2.0000,"publicationDate":"2026-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Phase Equilibria and Diffusion","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11669-026-01264-0","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
A comprehensive thermodynamic assessment of the Ni-Ti-Zr ternary system has been conducted using the CALPHAD (CALculation of PHAse Diagrams) methodology. Thermodynamic models for the constituent binary systems—Ni-Ti and Ni-Zr—were critically evaluated and refined based on recent experimental data and literature assessments. These models, along with an established description for the Ti-Zr system, were extrapolated to the ternary domain, where further optimization was performed using newly available experimental phase equilibria, isothermal sections, and invariant reactions. The resulting thermodynamic description captures the main features of the Ni-Ti-Zr phase diagram, including the liquidus and solidus projections, as well as the isothermal sections and isopleths. This model offers a useful basis for exploring and developing Ni-Ti-Zr-based materials, such as shape memory alloys, metallic glasses, and high-temperature structural alloys.
期刊介绍:
The most trusted journal for phase equilibria and thermodynamic research, ASM International''s Journal of Phase Equilibria and Diffusion features critical phase diagram evaluations on scientifically and industrially important alloy systems, authored by international experts.
The Journal of Phase Equilibria and Diffusion is critically reviewed and contains basic and applied research results, a survey of current literature and other pertinent articles. The journal covers the significance of diagrams as well as new research techniques, equipment, data evaluation, nomenclature, presentation and other aspects of phase diagram preparation and use.
Content includes information on phenomena such as kinetic control of equilibrium, coherency effects, impurity effects, and thermodynamic and crystallographic characteristics. The journal updates systems previously published in the Bulletin of Alloy Phase Diagrams as new data are discovered.