Elastic properties of the lower mantle inferred from rigid ion lattice models

Details Elastic properties of the lower mantle inferred from rigid ion lattice models Elastic properties of the lower mantle inferred from rigid ion lattice models

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pepi...34...85p&link_type=abstract

Physics of the Earth and Planetary Interiors (ISSN 0031-9201), vol. 34, April 1984, p. 85-101.

Physics

4

Earth Core, Elastic Properties, Ionic Crystals, Structural Properties (Geology), Adiabatic Conditions, Alkali Halides, Metal Oxides, Sodium Chlorides, Strontium Compounds

Scientific paper

The higher order elastic constants of several alkali halides and NaCl-structure oxides are estimated by means of simple rigid ion lattice models that employ two-body central force exponential type repulsive potentials for the first and second nearest neighbor interactions. Results are obtained for the first and second pressure derivatives of the bulk modulus, and it is noted that the range of values for the latter, as well as for the second pressure derivative of the rigidity modulus, are consistent with estimates of these parameters for the earth's lower mantle. While it is not necessary to invoke a vertical compositional gradient in the deep mantle to account for the observed variation in elastic properties, the range of values of the first bulk modulus pressure derivative and the second pressure derivative of the rigidity modulus require higher order elastic properties in the equation of state in order to obtain accurate and meaningful evaluations of the composition and state of the earth's interior.

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