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The Bulk Modulus-Volume Relationship for Oxides

Anderson, Don L. and Anderson, Orson L. (1970) The Bulk Modulus-Volume Relationship for Oxides. Journal of Geophysical Research, 75 (17). pp. 3494-3500. ISSN 0148-0227.

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The relationship KV_0 = constant is shown to hold for oxides as well as for alkali halides. The product of bulk modulus and volume depends on the crystal structure, valance product, and a repulsive parameter. The exponential repulsive parameter ρ is calculated for oxides in the halite, wurtzite, corundum, spinel, perovskite, and rutile structures for which elastic constant data are available. This parameter satisfies the relationship ρ = 0.05 (1 + R + 3ΔR where R is the cube root of the molecular volume and ΔR is the difference between R and the radius of the small cation. The reduced Madelung constant α = A/mz_1z_2 (where A is the conventional Madelung constant, z_1z_2 is the valence product, and m is the number of ions in the chemical formula) satisfies the relation α = 0.20 + 0.45ΔR. The calculated values for the bulk modulus and the repulsive parameter can be used to estimate densities at pressures of a megabar with an accuracy of about 1%.

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Additional Information:© 1970 American Geophysical Union. Received January: 2, 1970; revised March 13, 1970. Contribution 1654, Division of Geological Sciences, California Institute of Technology, Pasadena. Lamont-Doherty Geological Observatory Contribution No. 1512. The authors profited greatly from discussions with Edward Gaffney and Charles Sammis. We are greatly indebted to Robert Liebermann for measurements on iron-nickel oxides that provided the data to make the conclusions on the KV_o = constant law to apply to oxides with high iron content. This research was supported by NSF Grants GA-12703 and GA-1208, and DASA 01-70-C-0021.
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Defense Atomic Support Agency (DASA)DASA 01-70-C-0021
Subject Keywords: Mineral Data: Oxides; Mineralogy: Equations Of State; Mineralogy: Lattice Mechanics
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Caltech Division of Geological Sciences1654
Issue or Number:17
Record Number:CaltechAUTHORS:20140513-074258619
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Official Citation:Anderson, D. L., and O. L. Anderson (1970), Brief report: The bulk modulus-volume relationship for oxides, J. Geophys. Res., 75(17), 3494–3500, doi:10.1029/JB075i017p03494.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45702
Deposited By: Ruth Sustaita
Deposited On:13 May 2014 15:55
Last Modified:03 Oct 2019 06:34

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