Thermodynamic modeling of the Bi–Ca and Bi–Zr systems
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Fengyang Gao
,
Peng Zhou
Abstract
In the literature, there are no reliable thermodynamic descriptions for the Bi–Ca and Bi–Zr systems. In the present work, by means of the CALPHAD (calculation of phase diagrams) method, the thermodynamic assessments of the Bi–Ca and Bi–Zr systems were carried out based on the available data. The Gibbs energies of the liquid, bcc and hcp phases in these two binary systems were described by the substitutional solution model with the Redlich–Kister equation, and the intermetallic compounds (αBi10Ca11, βBi10Ca11, Bi3Ca5, Bi2Zr, Bi1.62Zr, BiZr, Bi2Zr3, and BiZr2 phases) were treated as stoichiometric phases. A good agreement between the calculated results and experimental data is obtained for both systems. The presently obtained thermodynamic parameters for the Bi–Ca and Bi–Zr systems are of interest for the development of Bi-based alloys.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: The financial supports from the National Natural Science Foundation of China (Grant No. 52031017) and the Material Gene Engineering Project of Yunnan Province (Grant No. 2019ZE001-1) are greatly acknowledged.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
- Editorial
- Preface of the issue of the 19th national symposium on phase diagram and materials design
- Review
- Improvement of the thermoelectric properties of GeTe- and SnTe-based semiconductors aided by the engineering based on phase diagram
- Original Papers
- Diffusivities and atomic mobilities in the Ni-rich fcc Ni–Al–Cu alloys: experiment and modeling
- Composition-dependent interdiffusivity matrices of ordered bcc_B2 phase in ternary Ni–Al–Ru system at 1273∼1473 K
- Investigation of interdiffusion behavior in the Ti–Zr–Cu ternary system
- Measurement of the diffusion coefficient in Mg–Sn and Mg–Sc binary alloys
- Thermodynamic calculation of phase equilibria of rare earth metals with boron binary systems
- Thermodynamic modeling of the Bi–Ca and Bi–Zr systems
- Redetermination of the Fe–Pt phase diagram by using diffusion couple technique combined with key alloys
- Experimental determination of the isothermal sections and liquidus surface projection of the Mo–Si–V ternary system
- Experimental determination of isothermal sections of the Hf–Nb–Ni system at 950 and 1100 °C
- Experimental investigation and thermodynamic assessment of the Al–Ca–Y ternary system
- Phase equilibria of the Ni–Cr–Y ternary system at 900 °C
- Phase constituents near the center of the Co–Cr–Fe–Ni–Ti system at 1000 °C
- Metastable phase diagram of the Gd2O3–SrO–CoO x ternary system
- Crystallization kinetic and dielectric properties of CaO–MgO–Al2O3–SiO2 glass/Al2O3 composites
- Investigation of the phase relation of the Bi2O3–Fe2O3–Nd2O3 system at 973 K and the microwave absorption performance of NdFeO3/Bi25FeO40 with different mass ratios
- The influence of SrCl2 on the corrosion behavior of magnesium
- Retraction
- Retraction of: Electrolytic synthesis of ZrSi/ZrC nanocomposites from ZrSiO4 and carbon black powder in molten salt
- News
- DGM – Deutsche Gesellschaft für Materialkunde
Articles in the same Issue
- Frontmatter
- Editorial
- Preface of the issue of the 19th national symposium on phase diagram and materials design
- Review
- Improvement of the thermoelectric properties of GeTe- and SnTe-based semiconductors aided by the engineering based on phase diagram
- Original Papers
- Diffusivities and atomic mobilities in the Ni-rich fcc Ni–Al–Cu alloys: experiment and modeling
- Composition-dependent interdiffusivity matrices of ordered bcc_B2 phase in ternary Ni–Al–Ru system at 1273∼1473 K
- Investigation of interdiffusion behavior in the Ti–Zr–Cu ternary system
- Measurement of the diffusion coefficient in Mg–Sn and Mg–Sc binary alloys
- Thermodynamic calculation of phase equilibria of rare earth metals with boron binary systems
- Thermodynamic modeling of the Bi–Ca and Bi–Zr systems
- Redetermination of the Fe–Pt phase diagram by using diffusion couple technique combined with key alloys
- Experimental determination of the isothermal sections and liquidus surface projection of the Mo–Si–V ternary system
- Experimental determination of isothermal sections of the Hf–Nb–Ni system at 950 and 1100 °C
- Experimental investigation and thermodynamic assessment of the Al–Ca–Y ternary system
- Phase equilibria of the Ni–Cr–Y ternary system at 900 °C
- Phase constituents near the center of the Co–Cr–Fe–Ni–Ti system at 1000 °C
- Metastable phase diagram of the Gd2O3–SrO–CoO x ternary system
- Crystallization kinetic and dielectric properties of CaO–MgO–Al2O3–SiO2 glass/Al2O3 composites
- Investigation of the phase relation of the Bi2O3–Fe2O3–Nd2O3 system at 973 K and the microwave absorption performance of NdFeO3/Bi25FeO40 with different mass ratios
- The influence of SrCl2 on the corrosion behavior of magnesium
- Retraction
- Retraction of: Electrolytic synthesis of ZrSi/ZrC nanocomposites from ZrSiO4 and carbon black powder in molten salt
- News
- DGM – Deutsche Gesellschaft für Materialkunde
