Journal ArticleDOI
Measured elastic moduli of single-crystal MgO up to 1800 K
Donald G. Isaak,Orson L. Anderson,Takayasu Goto,Takayasu Goto +3 more
- Vol. 16, Iss: 7, pp 704-713
TLDR
In this article, the authors measured the temperature dependence of the adiabatic elastic moduli of single-crystal MgO over the temperature range 300-1800 K. The high temperature limit of their measurements extends by 500 K the upper limit over which elasticity data on MgOs are now available.Abstract:
Using the rectangular parallelepiped resonance method we measured the temperature dependence of the adiabatic elastic moduli of single-crystal MgO over the temperature range 300–1800 K. The high temperature limit of our measurements extends by 500 K the upper limit over which elasticity data on MgO are now available. Although our measured temperature dependence of C
ij
s
are generally in good agreement with previous measurements over a more narrow range in temperature, we found that C
44
s
decreases more rapidly with temperature, for T > 1000 K, than previous studies suggest. We also found that each of the slopes (ϱC
11
s
/ϱT)p, (ϱKs/ϱT)p, and (C
44
s
/ϱT)p become less negative with increasing temperature for T > 1400 K. From our measurements on elasticity we are able to confirm that the Gruneisen parameter at zero pressure is nearly constant with temperature up to 1800 K, with only a slight decrease above 1000 K. Utilizing our new data we present calculations showing the temperature dependence of thermodynamic parameters important in studies of earth's interior.read more
Citations
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Journal ArticleDOI
Quasi‐hydrostatic compression of magnesium oxide to 52 GPa: Implications for the pressure‐volume‐temperature equation of state
TL;DR: In this paper, the volume dependence of the Gruneisen parameter was analyzed for room temperature static compression of periclase in a diamond anvil cell with methanol-ethanol or helium as a pressure-transmitting medium.
Journal ArticleDOI
Structure and elasticity of MgO at high pressure
TL;DR: The structural and elastic properties of MgO periclase were studied up to 150 GPa with the first-principles pseudopotential method within the local density approximation as mentioned in this paper.
Journal ArticleDOI
Elasticity of MgO and a primary pressure scale to 55 GPa
TL;DR: The present study provides a direct determination of pressure without recourse to any prior pressure standard, thus creating a primary pressure scale and improving the commonly used ruby fluorescence pressure scale to 1% accuracy.
Journal ArticleDOI
Origin of lateral variation of seismic wave velocities and density in the deep mantle
TL;DR: In this article, the authors considered anharmonic and anelastic effects for thermal and chemical origin of seismic wave velocities and density heterogeneity in the lower mantle of the Earth and found that the latter alone alone cannot explain inferred low Rρ/s (2.7) and corresponding negative values of Rϕ/s in the deep lower mantle which cannot be explained by simple chemical heterogeneity such as the heterogeneity in Fe/(Fe + Mg) and/or Mg/(Mg + Si) ratios.
References
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Journal ArticleDOI
The Elastic Behaviour of a Crystalline Aggregate
TL;DR: The connection between the elastic behavior of an aggregate and a single crystal is considered in this article, with special reference to the theories of Voigt, Reuss, and Huber and Schmid.
Journal ArticleDOI
Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle .
Journal ArticleDOI
A variational approach to the theory of the elastic behaviour of polycrystals
Zvi Hashin,S. Shtrikman +1 more
TL;DR: In this article, the authors derived lower and upper bounds for the elastic moduli of polycrystals in terms of the modulus of the constituting crystals, and showed that the present bounds are a considerable improvement of the well-known Voigt and Reuss bounds.