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Temperature-dependent elastic and thermodynamic properties of ZrC,HfC, and their solid solutions (Zr0.5Hf0.5)C
Authors:Jieqiang Jiang  Zuhao Shi  Arramel  Jinyong Zhang  Tengfei Deng  Neng Li
Affiliation:1. State Key Laboratory of Silicate Materials for Architectures, Wuhan University of Technology, Wuhan, China

Shenzhen Research Institute of Wuhan University of Technology, Shenzhen, Guangdong, China;2. State Key Laboratory of Silicate Materials for Architectures, Wuhan University of Technology, Wuhan, China;3. Nano Center Indonesia, Jalan Raya PUSPIPTEK, South Tangerang, Banten, Indonesia

Abstract:Zirconium carbide (ZrC) and hafnium carbide (HfC) have been identified as ultrahigh temperature ceramics with excellent thermal conductivity performance. The temperature profiles of ZrC and HfC have been studied; however, the temperature-dependent of solid solution of (Zr0.5Hf0.5)C is still lacking. Herein, we report the temperature-dependent elastic and thermodynamic properties of (Zr0.5Hf0.5)C using first-principles calculations. The covalent characters of ZrC, HfC, and (Zr0.5Hf0.5)C are weakened at high temperatures by analyzing their respective electronic structures. In addition, the equilibrium volumes at different temperatures can be determined from the energy–volume (EV) curves under the quasi-harmonic approximation. Throughout the temperature ranges studied, the HfC material shows the highest bulk modulus and lowest thermal expansion. When T > 1000 K, (Zr0.5Hf0.5)C exhibits better shear and Young's modulus performance close to HfC and shows the highest anisotropy. The lattice thermal conductivity decreased as temperature increased for ZrC, HfC, and (Zr0.5Hf0.5)C, and (Zr0.5Hf0.5)C has the smallest lattice thermal conductivity. These results provide fundamental and useful information for the practical application of ZrC, HfC, and (Zr0.5Hf0.5)C.
Keywords:density-functional theory  high-temperature mechanical properties  lattice thermal conductivity  quasi-harmonic approximation  solid-solution carbides
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