# Thermal Equation of State of (Mg0.9Fe0.1)2SiO4 Olivine

## Abstract

In situ synchrotron X-ray 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 high-temperature Birch-Murnaghan (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 K-1. 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 K-1 is derived. Fitting the present data to the Mie-Gr{umlt u}neisen-Debye (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 iron-bearing 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):
- BNL-78736-2007-JA

Journal ID: ISSN 0031-9201; PEPIAM; TRN: US0801590

- DOE Contract Number:
- DE-AC02-98CH10886

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys. Earth Planet. Interiors; Journal Volume: 157; Journal Issue: 3-4

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; DATA ANALYSIS; OLIVINE; SYNCHROTRONS; X-RAY 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 X-ray 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 high-temperature Birch-Murnaghan (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 K-1. 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 K-1 is derived. Fitting the present data to the Mie-Gr{umlt u}neisen-Debye (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 iron-bearing 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 = 3-4,

volume = 157,

place = {United States},

year = {Sun Jan 01 00:00:00 EST 2006},

month = {Sun Jan 01 00:00:00 EST 2006}

}