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The elastic properties of (Mg_xFe_(1−x))O solid solutions

Jackson, Ian and Liebermann, Robert C. and Ringwood, A. E. (1978) The elastic properties of (Mg_xFe_(1−x))O solid solutions. Physics and Chemistry of Minerals, 3 (1). pp. 11-31. ISSN 0342-1791. https://resolver.caltech.edu/CaltechAUTHORS:20201014-153118189

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Abstract

The velocities of compressional (V_p) and shear (V_s) waves in five well-characterized polycrystalline aggregates of (Mg_xFe_(1−x))O (0.85 ≧ x > 0.23) have been measured as functions of hydrostatic pressure (to 6 kbar) using the techniques of ultrasonic pulse transmission and super-position. Both velocities decrease systematically with increasing iron content. The elastic properties of stoichiometric FeO are inferred by inverting the solid solution data using a model in which the single crystal compliances (s_(ij)) vary linearly with the volume fraction of either end member. This model, along with identification of the aggregate moduli with the arithmetic average of the Hashin-Shtrikman bounds, may be used to describe the variation of both bulk (K_s) and shear modulus (μ_s) with composition for polycrystalline aggregates of phases of arbitrary symmetry. For the case of bulk modulus of an isotropic aggregate of crystals of cubic symmetry, the present model yields the formula first proposed by Liu (1968). The isotropic elastic moduli of FeO thus obtained (K_s = 1.82±0.05 Mbar, μ_s = 0.59±0.02 Mbar) are consistent with the wüstite data of Mizutani et al. (1972) but inconsistent with bulk moduli derived from static compression data by Mao et al. (1969) and Rosenhauer et al. (1976). An alternative description of the variation of μ with x based on consideration of the solid solutions as two-phase aggregates is also presented. The observed differences in elastic moduli between MgO (K_s = 1.63 Mbar, μ_s = 1.31 Mbar) and FeO (K_s = 1.82 Mbar, μ_s = 0.59 Mbar) are consistent with the effects of Mg/Fe substitution in other oxide and silicate crystal structures.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/bf00357444DOIArticle
Additional Information:© 1978 Springer. Received 12 August 1977. Contribution No. 2936 Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA 91125, USA.
Group:Seismological Laboratory
Subject Keywords:Solid Solution; Shear Modulus; Hydrostatic Pressure; Bulk Modulus; Ultrasonic Pulse
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Other Numbering System NameOther Numbering System ID
Caltech Division of Geological and Planetary Sciences2936
Issue or Number:1
Record Number:CaltechAUTHORS:20201014-153118189
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201014-153118189
Official Citation:Jackson, I., Liebermann, R.C. & Ringwood, A.E. The elastic properties of (Mg x Fe1−x )O solid solutions. Phys. Chem. Minerals 3, 11–31 (1978). https://doi.org/10.1007/BF00357444
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106072
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:14 Oct 2020 22:44
Last Modified:14 Oct 2020 22:44

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