Qi, Xintong; Cai, Nao; Wang, Siheng; ... - Journal of Applied Physics
In
more » this work, the compressional (P) and shear wave velocities (S) and unit cell volumes (densities) of polycrystalline tungsten (W) have been measured simultaneously up to 10.5 GPa and 1073 K using ultrasonic interferometry in conjunction with x-ray diffraction and x-radiography techniques. Thermoelastic properties of W were derived using different methods. We obtained the isothermal bulk modulus KT0 = 310.3(1.5) GPa, its pressure derivative K'T0 = 4.4(3), its temperature derivative at constant pressure and at constant volume , the thermal expansion α(0, T) = 1.02(27) × 10–5 + 7.39(3.2) × 10–9 T (K–1), as well as the pressure derivative of thermal expansion based on the high-temperature Birch–Murnaghan equation of state (EOS), the Vinet EOS, and thermal pressure approach. Finite strain analysis allowed us to derive the elastic properties and their pressure/temperature derivatives independent of the choice of pressure scale. A least-squares fitting yielded KS0 = 314.5(2.5) GPa, KS0' = 4.45(9), (∂KS/∂T)P = – 0.0076(6) GPa K–1, G0 = 162.4(9) GPa, G0' = 1.8(1), (∂G/∂T)P = – 0.0175(9) GPa K–1, and . Fitting current data to the Mie–Grüneisen–Debye EOS with derived yielded . The thermoelastic parameters obtained from various approaches are consistent with one another and comparable with previous results within uncertainties. Our current study provides a complete and self-consistent dataset for the thermoelastic properties of tungsten at high P–T conditions, which is important to improve the theoretical modeling of these materials under dynamic conditions.« less