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Published January 10, 1971 | Published
Journal Article Open

Equation of state of forsterite

Abstract

Shock wave data for pure forsterite with initial bulk densities of 2.6 and 3.1 g/cm^3 are obtained to 0.370 Mb by impacting series of specimens with tungsten alloy plates that are launched at speeds of up to 2.3 km/sec with a high-performance propellant gun. The onset of a shock-induced phase change, probably corresponding to the forsterite-'post spinel' phase change is observed at 0.280±0.025 Mb. Because of the low shock temperatures, the transition is believed to be limited by the reaction rate and this pressure value should be taken only as an upper limit. Adiabats derived from the Hugoniot data for the forsterite phase are fit to the two-parameter finite strain Birch-Murnaghan equation and to two simple ionic equations of state. The Birch-Murnaghan form of the equation of state gives a zero-pressure bulk modulus (1.29 Mb) that agrees more closely with the ultrasonic data than the modulus obtained from the ionic equations of state. An unusual relaxation effect, in which the elastic shock precursor velocity varies from 5.8 to 9.5 km/sec, is also observed. The characteristic time of the relaxation process appears to be less than 1 μsec.

Additional Information

Copyright 1971 by the American Geophysical Union. (Received April 7, 1970.) We appreciate the contributions of W. Miller. F. Lehner, and J. L. Blayney to the design of the electronics and optics, the help of D. Tanner, D. Johnson, H. P. Liu, and Rex Gibbons with the experiments, and the assistance of G. Davies with the reduction of data. We thank D. L. Anderson for reviewing the manuscript. This research was supported by the National Science Foundation under grant GA 1650. Contribution 1775, Division of Geological Sciences, California Institute of Technology.

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August 22, 2023
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