The equation of state of molybdenum at 1400 °C

Abstract

Shock compression data to 96 GPa for pure molybdenum, initially heated to 1400 °C, are presented. Finite strain analysis of the data gives a bulk modulus at 1400 °C, K_(0S), of 244 ± 2 GPa and its pressure derivative, K′_(0S), of 4. A fit of shock velocity to particle velocity gives the coefficients of U_S = c_0 + sU_P to be c_0 = 4.77 ± 0.06 km/s and s = 1.43 ± 0.05. From the zero‐pressure sound speed c_0, a bulk modulus of 232 ± 6 GPa is calculated which is consistent with extrapolation of ultrasonic elasticity measurements. The temperature derivative of the bulk modulus at zero pressure, ∂K_(0S)/∂T|_P, is approximately −0.012 GPa/K. A thermodynamic model is used to show that the thermodynamic Grüneisen parameter is proportional to the density and independent of temperature. The Mie–Grüneisen equation of state adequately describes the high‐temperature behavior of molybdenum under the present range of shock loading conditions.

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