Thermal Equation of State of (Mg0.9Fe0.1)2SiO4 Olivine
Abstract
In situ synchrotron Xray diffraction measurements have been carried out on San Carlos olivine (Mg{sub 0.9}Fe{sub 0.1}){sub 2}SiO{sub 4} up to 8 GPa and 1073 K. Data analysis using the hightemperature BirchMurnaghan (HTBM) equation of state (EoS) yields the temperature derivative of the bulk modulus ({partial_derivative}K{sub T}/{partial_derivative}T){sub P} = 0.019 {+} 0.002 GPa K1. The thermal pressure (TH) approach gives {alpha}K{sub T} = 4.08 {+} 0.10 x 10{sup 3} GPa K{sup 1}, from which ({partial_derivative}K{sub T}/{partial_derivative}T){sub P} = 0.019 {+} 0.001 GPa K1 is derived. Fitting the present data to the MieGr{umlt u}neisenDebye (MGD) formalism, the Gr{umlt u}neisen parameter at ambient conditions {gamma}{sub 0} is constrained to be 1.14 {+} 0.02 with fixed volume dependence q = 1. Combining the present data with previous results on ironbearing olivine and fitting to MGD EoS, we obtain {gamma}{sub 0} = 1.11 {+} 0.01 and q = 0.54 {+} 0.36. In this study the thermoelastic parameters obtained from various approaches are in good agreement with one another and previous results.
 Authors:
 Publication Date:
 Research Org.:
 Brookhaven National Laboratory (BNL) National Synchrotron Light Source
 Sponsoring Org.:
 Doe  Office Of Science
 OSTI Identifier:
 914168
 Report Number(s):
 BNL787362007JA
Journal ID: ISSN 00319201; PEPIAM; TRN: US0801590
 DOE Contract Number:
 DEAC0298CH10886
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Phys. Earth Planet. Interiors; Journal Volume: 157; Journal Issue: 34
 Country of Publication:
 United States
 Language:
 English
 Subject:
 43 PARTICLE ACCELERATORS; DATA ANALYSIS; OLIVINE; SYNCHROTRONS; XRAY DIFFRACTION; EQUATIONS OF STATE; NSLS; national synchrotron light source
Citation Formats
Liu,W., and Li, B.. Thermal Equation of State of (Mg0.9Fe0.1)2SiO4 Olivine. United States: N. p., 2006.
Web. doi:10.1016/j.pepi.2006.04.003.
Liu,W., & Li, B.. Thermal Equation of State of (Mg0.9Fe0.1)2SiO4 Olivine. United States. doi:10.1016/j.pepi.2006.04.003.
Liu,W., and Li, B.. Sun .
"Thermal Equation of State of (Mg0.9Fe0.1)2SiO4 Olivine". United States.
doi:10.1016/j.pepi.2006.04.003.
@article{osti_914168,
title = {Thermal Equation of State of (Mg0.9Fe0.1)2SiO4 Olivine},
author = {Liu,W. and Li, B.},
abstractNote = {In situ synchrotron Xray diffraction measurements have been carried out on San Carlos olivine (Mg{sub 0.9}Fe{sub 0.1}){sub 2}SiO{sub 4} up to 8 GPa and 1073 K. Data analysis using the hightemperature BirchMurnaghan (HTBM) equation of state (EoS) yields the temperature derivative of the bulk modulus ({partial_derivative}K{sub T}/{partial_derivative}T){sub P} = 0.019 {+} 0.002 GPa K1. The thermal pressure (TH) approach gives {alpha}K{sub T} = 4.08 {+} 0.10 x 10{sup 3} GPa K{sup 1}, from which ({partial_derivative}K{sub T}/{partial_derivative}T){sub P} = 0.019 {+} 0.001 GPa K1 is derived. Fitting the present data to the MieGr{umlt u}neisenDebye (MGD) formalism, the Gr{umlt u}neisen parameter at ambient conditions {gamma}{sub 0} is constrained to be 1.14 {+} 0.02 with fixed volume dependence q = 1. Combining the present data with previous results on ironbearing olivine and fitting to MGD EoS, we obtain {gamma}{sub 0} = 1.11 {+} 0.01 and q = 0.54 {+} 0.36. In this study the thermoelastic parameters obtained from various approaches are in good agreement with one another and previous results.},
doi = {10.1016/j.pepi.2006.04.003},
journal = {Phys. Earth Planet. Interiors},
number = 34,
volume = 157,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

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