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Thermodynamic modelling of the Hf–Pt system

Bo Yang, Cuiping Guo, Changrong Li and Zhenmin Du


By means of the CALPHAD (CAlcultion of PHAse Diagram) technique, the Hf–Pt system was critically assessed. Based on the experimental data, the four solution phases (liquid, fcc, bcc and hcp) were described with the substitutional solution model. The intermetallic compounds Hf3Pt4 and αHfPt were treated as the formula (Hf,Pt)m(Hf,Pt)n by a two-sublattice model. Based on the solid solution range, the intermetallic compounds HfPt4 and Hf2Pt were treated as the formula (Hf,Pt)1(Pt)3 and (Hf)2(Hf,Pt)1, respectively. The intermetallic compound Hf2Pt3 was treated as a stoichiometric compound. The formulas (Hf,Pt)0.5(Hf,Pt)0.5 · (Va)3 and (Hf,Pt)0.25(Hf,Pt)0.75(Va)0.5 were applied to describe the compounds βHfPt with CsCl-type structure (B2) and HfPt3 with Ni3Ti-type structure (D024) to cope with the order-disorder transition from bcc-A2 to bcc-B2 and hcp-A3 to hcp-D024. A set of self-consistent thermodynamic parameters of the Hf–Pt system was obtained.

*Correspondence address, Prof. Zhenmin Du, Department of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China, Tel./Fax: +86-10-62333772, E-mail:


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Received: 2017-12-28
Accepted: 2018-04-05
Published Online: 2018-08-30
Published in Print: 2018-09-14

© 2018, Carl Hanser Verlag, München