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Thermodynamic Modeling of the B-Ti-Zr System Over the Whole Composition and Temperature Ranges

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Abstract

The thermodynamic description of the ternary system B-Ti-Zr has been obtained by modelling 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, (βTi, βZr), TiB, (Ti, Zr)B2 and ZrB12 have been modeled. The modeling covers the whole composition and temperature ranges. The Gibbs energy of ZrB2 in the B-Zr system was reassessed using the two-sublattice model (B, Zr)1(B, Zr)2. A set of self-consistent thermodynamic parameters for the B-Ti-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 showed that the experimental information was satisfactorily accounted for by the present thermodynamic description. The liquidus projection and reaction scheme of the B-Ti-Zr system have also been presented.

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Acknowledgments

The financial support from the National Natural Science Foundation of China (51501051), Joint Foundation of Ministry of Education and Equipment Pre-research of China (JD2017XAZC0002), Research fund of the State Key Laboratory of Solidification Processing in NWPU (SKLSP201510) and the Fundamental Research Funds for the Central Universities (JZ2015HGBZ0091 and JD2016JGPY0005) is gratefully 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, Jiuxing Zhang & Xinyu Yang

  2. Collaborative Innovation Center of Steel Technology, University of Science and Technology Beijing, Beijing, 100083, People’s Republic of China

    Cong Zhang

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

    Yafei Pan, Lei Huang, Yong Du & Fenghua Luo

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  1. Yafei Pan
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Correspondence to Yong Du.

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Pan, Y., Zhang, C., Zhang, J. et al. Thermodynamic Modeling of the B-Ti-Zr System Over the Whole Composition and Temperature Ranges. J. Phase Equilib. Diffus. 40, 364–374 (2019). https://doi.org/10.1007/s11669-019-00728-w

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  • DOI: https://doi.org/10.1007/s11669-019-00728-w

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