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The bulk modulus-volume relationship for oxides

Anderson, Don L. and Anderson, Orson L. (1988) The bulk modulus-volume relationship for oxides. In: Elastic Properties and Equations of State. American Geophysical Union Special Publications. No.26. American Geophysical Union , Washington, D. C., pp. 283-289. ISBN 0875902405. http://resolver.caltech.edu/CaltechAUTHORS:20181130-131437325

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Abstract

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%.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1029/sp026p0283DOIArticle
Additional Information:© 1988 American Geophysical Union.
Subject Keywords:Born power law; Bulk modulus‐volume relationship; Madelung constant; Oxides and silicates; Ultrasonic technique
Record Number:CaltechAUTHORS:20181130-131437325
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181130-131437325
Official Citation:Anderson, D. L. and Anderson, O. L. (2013). The Bulk Modulus‐Volume Relationship for Oxides. In Elastic Properties and Equations of State (eds T. J. Shankland and J. D. Bass). doi:10.1029/SP026p0283
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91370
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:03 Dec 2018 16:26
Last Modified:03 Dec 2018 16:26

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