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The equation of state of molybdenum at 1400 °C

Miller, Gregory H. and Ahrens, Thomas J. and Stolper, Edward M. (1988) The equation of state of molybdenum at 1400 °C. Journal of Applied Physics, 63 (9). pp. 4469-4475. ISSN 0021-8979. http://resolver.caltech.edu/CaltechAUTHORS:20120615-163116316

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.341124DOIUNSPECIFIED
http://jap.aip.org/resource/1/japiau/v63/i9/p4469_s1PublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
NSFEAR-86-18545
NSFEAR-85-08969
Subject Keywords:molybdenum, shock waves, experimental data, compression, Grueneisen constant, thermodynamics, density, equations of state
Other Numbering System:
Other Numbering System NameOther Numbering System ID
GPS Contribution No.4510
Classification Code:PACS: 65.40.De; 62.50.-p
Record Number:CaltechAUTHORS:20120615-163116316
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120615-163116316
Official Citation:The equation of state of molybdenum at 1400 [degree]C Gregory H. Miller, Thomas J. Ahrens, and Edward M. Stolper, J. Appl. Phys. 63, 4469 (1988), DOI:10.1063/1.341124
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31922
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:18 Jun 2012 19:56
Last Modified:26 Dec 2012 15:20

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