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AGU: Journal of Geophysical Research, Solid Earth

 
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Abstract

JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 75, NO. 17, PP. 3494-3500, 1970
doi:10.1029/JB075i017p03494

Brief Report The Bulk Modulus-Volume Relationship for Oxides

Don L. Anderson

Seismological Laboratory, California Institute of Technology Pasadena, California 91109

Orson L. Anderson

Lamont-Doherty Geological Observatory of Columbia University Palisades, New York 10964

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 1 z 2 (where A is the conventional Madelung constant, z 1 z 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%.

Received 2 January 1970; accepted 13 March 1970; .

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.

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