TY - JOUR
T1 - Single-crystal elasticity of pyrope and MgO to 20 GPa by Brillouin scattering in the diamond cell
AU - Sinogeikin, Stanislav V.
AU - Bass, Jay D.
N1 - Funding Information:
We are grateful to C.-S. Zha for his advice and discussion of high-pressure experiments. The manuscript benefited from comments of J.M. Brown and an anonymous reviewer. We also thank A.G. Kalinichev, J.M. Jackson, J.W. Palko, F. Schilling, and A. Kisliuk for discussions and suggestions. This research was supported by the NSF.
PY - 2000/6
Y1 - 2000/6
N2 - The single-crystal elastic properties of synthetic pyrope (Mg3Al2Si3O12) and periclase (MgO) have been measured by Brillouin scattering in a diamond anvil cell (DAC) up to 20 GPa. A 16:3:1 mixture of methanol-ethanol-water was used as a pressure-transmitting medium. Above the freezing pressure of this medium (~ 14 GPa), heat treatment and accompanying stress relaxation produces quasi-hydrostatic conditions. An analysis of geometric errors associated with the DAC indicates that the DAC introduces an additional uncertainty in velocity of ≤ 0.5% (as compared to measurements in air), if there is no vignetting of the incident and scattered beams. The nonhydrostaticity caused by freezing of the pressure-transmitting medium results in lower velocities and elastic moduli than are obtained under hydrostatic conditions, and this leads to an overestimation of the second pressure derivatives of the elastic moduli. Fitting our hydrostatic data to finite-strain equations of state yields the following adiabatic bulk (K(S)) and shear (μ) moduli and their pressure derivatives: K(S) = 163.2(10), K' = 3.96(10), K″ = -0.044(20), μ = 130.2(10), μ' = 2.35(10), μ″ = -0.040(20) for MgO and K(S) = 171.2(20), K' = 4.1(3), μ = 93.7(20), μ' = 1.3(2) for pyrope, where primes indicate pressure derivatives of moduli. Our results for MgO are in excellent agreement with previous ultrasonic measurements performed at lower pressures, and in particular the values of K' agree to within a few percent. Our data are in good agreement with recent compression measurements on pyrope to pressures exceeding 20 GPa, suggesting that Brillouin scattering is an accurate method for high-pressure density and elastic moduli measurements. Pyrope is nearly elastically isotropic at ambient conditions and remains isotropic over the pressure range studied here. In contrast, the elastic anisotropy of MgO is observed to decrease dramatically with increasing pressure, becoming elastically isotropic at ~ 21.5 GPa. (C) 2000 Elsevier Science B.V. All rights reserved.
AB - The single-crystal elastic properties of synthetic pyrope (Mg3Al2Si3O12) and periclase (MgO) have been measured by Brillouin scattering in a diamond anvil cell (DAC) up to 20 GPa. A 16:3:1 mixture of methanol-ethanol-water was used as a pressure-transmitting medium. Above the freezing pressure of this medium (~ 14 GPa), heat treatment and accompanying stress relaxation produces quasi-hydrostatic conditions. An analysis of geometric errors associated with the DAC indicates that the DAC introduces an additional uncertainty in velocity of ≤ 0.5% (as compared to measurements in air), if there is no vignetting of the incident and scattered beams. The nonhydrostaticity caused by freezing of the pressure-transmitting medium results in lower velocities and elastic moduli than are obtained under hydrostatic conditions, and this leads to an overestimation of the second pressure derivatives of the elastic moduli. Fitting our hydrostatic data to finite-strain equations of state yields the following adiabatic bulk (K(S)) and shear (μ) moduli and their pressure derivatives: K(S) = 163.2(10), K' = 3.96(10), K″ = -0.044(20), μ = 130.2(10), μ' = 2.35(10), μ″ = -0.040(20) for MgO and K(S) = 171.2(20), K' = 4.1(3), μ = 93.7(20), μ' = 1.3(2) for pyrope, where primes indicate pressure derivatives of moduli. Our results for MgO are in excellent agreement with previous ultrasonic measurements performed at lower pressures, and in particular the values of K' agree to within a few percent. Our data are in good agreement with recent compression measurements on pyrope to pressures exceeding 20 GPa, suggesting that Brillouin scattering is an accurate method for high-pressure density and elastic moduli measurements. Pyrope is nearly elastically isotropic at ambient conditions and remains isotropic over the pressure range studied here. In contrast, the elastic anisotropy of MgO is observed to decrease dramatically with increasing pressure, becoming elastically isotropic at ~ 21.5 GPa. (C) 2000 Elsevier Science B.V. All rights reserved.
KW - Brillouin spectroscopy
KW - Diamond anvil cell
KW - Elastic properties
KW - Equation of state
KW - Mantle mineralogy
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U2 - 10.1016/S0031-9201(00)00143-6
DO - 10.1016/S0031-9201(00)00143-6
M3 - Article
AN - SCOPUS:0033941191
SN - 0031-9201
VL - 120
SP - 43
EP - 62
JO - Physics of the Earth and Planetary Interiors
JF - Physics of the Earth and Planetary Interiors
IS - 1
ER -