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Published May 1, 1988 | Published
Journal Article Open

The equation of state of molybdenum at 1400 °C


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.

Additional Information

© 1988 American Institute of Physics. Received 5 October 1987; accepted 3 December 1987. We thank M. Long and E. Gelle for their expert technical assistance with the preparation and execution of the shock experiments. L. Young polished some of the Mo samples. Discussion and review by D.J. Stevenson was very helpful. We appreciate the use of the 10 kW rf heater provided by L.T. Silver. This work was funded by NSF Grant Nos. EAR-86-18545 and EAR-85-08969. Contribution number 4510, Division of Geological and Planetary Sciences, California Institute of Technology, CA.

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