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Thermodynamic Assessment of the Ternary B-Hf-Zr System with Refined B-Hf Description

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Abstract

Thermodynamic assessment of the ternary system B-Hf-Zr has been conducted by modeling the Gibbs energy of all individual phases using the CALPHAD (CALculation of PHAse Diagrams) approach. There is no ternary compound in this system. The individual solution phases, i.e., liquid, (βHf,βZr), HfB and (Hf,Zr)B2 have been modeled. The modeling covers the whole composition and temperature ranges. The Gibbs energies of HfB2 and HfB in the B-Hf system were reassessed using the two-sublattice models (B,Hf)1(B,Hf)2 and (Hf)1(B,Hf)1, respectively. A set of self-consistent thermodynamic parameters for the B-Hf-Zr system was obtained by considering the phase diagram data in the ternary system. Comprehensive comparisons between the calculated and measured phase diagram and thermodynamic data show that the experimental information was satisfactorily accounted for by the present thermodynamic description. The liquidus projection and reaction scheme of the B-Hf-Zr system are also presented.

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Acknowledgments

The financial support from the National Natural Science Foundation of China (51901063), the Fundamental Research Funds for the Central Universities of China (JZ2021HGTB0094 and PA2021GDGP0059) is greatly acknowledged.

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Authors and Affiliations

  1. School of Materials Science and Engineering, Hefei University of Technology, Hefei, 230009, Anhui, People’s Republic of China

    Yafei Pan, Lei Huang & Jiuxing Zhang

  2. Engineering Research Center of High-Performance Copper Alloy Materials and Processing, Ministry of Education, Hefei University of Technology, Hefei, 230009, Anhui, People’s Republic of China

    Yafei Pan, Lei Huang & Jiuxing Zhang

  3. State Key Laboratory of Powder Metallurgy, Central South University, Changsha, 410083, Hunan, People’s Republic of China

    Yong Du & Fenghua Luo

  4. Centre of Excellence for Advanced Materials, Songshan Lake, Dongguan, 523808, Guangdong, People’s Republic of China

    Shuyan Zhang

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Pan, Y., Huang, L., Zhang, J. et al. Thermodynamic Assessment of the Ternary B-Hf-Zr System with Refined B-Hf Description. J. Phase Equilib. Diffus. 42, 864–878 (2021). https://doi.org/10.1007/s11669-021-00928-3

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