### Abstract

Pressure-volume measurements have been performed for CaSiO_{3} perovskite to 108 GPa at 300 K using NaCl and argon pressure-transmitting media, and energy dispersive X-ray diffraction (EDXD) in a diamond-anvil cell (DAC). By determining a parameter that is the product of the elastic anisotropy, S, and the uniaxial stress component, t, for each data point, we define the stress condition of the sample. For different points at the same pressure in a temperature-quenched sample, the St value can differ by as much as a factor of 5, indicating heterogeneity in the stress condition. This may be responsible for the large scatter of earlier P-V measurements in the DAC which in general used a large diameter X-ray beam. Also, the St value provides insight into the elastic anisotropy, S, of CaSiO_{3} perovskite and platinum. The sign of S (positive) for CaSiO_{3} perovskite agrees with first principles calculations but the magnitude may be inconsistent. A new compression curve at 300 K was obtained for CaSiO_{3} perovskite by using those data points which represent the most nearly hydrostatic conditions. It is observed that the data points with high St values yield larger volumes than the points with small St values at a given pressure. By selecting the data points having low St values (St ≤ 0.005), combining with lower pressure large volume press (LVP) measurements and fitting to third order Birch-Murnaghan equation of state (EOS), we find that CaSiO_{3} perovskite is more compressible (V_{0} = 45.58 ± 0.05 Å^{3}, K(T0) = 236 ± 4 GPa, and K'(T0) = 3.9 ± 0.2 GPa) than suggested by previous studies. The density and bulk modulus of CaSiO_{3} perovskite at lower mantle pressures and 300 K are 1-3% greater and 5-15% smaller, respectively, than found in previous studies. This study demonstrates that defining the stress state of the sample is crucial to obtain an accurate 300 K compression curve for unquenchable high-pressure phases. (C) 2000 Elsevier Science B.V. All rights reserved.

Original language | English (US) |
---|---|

Pages (from-to) | 327-338 |

Number of pages | 12 |

Journal | Physics of the Earth and Planetary Interiors |

Volume | 120 |

Issue number | 4 |

DOIs | |

State | Published - Aug 2000 |

Externally published | Yes |

### Fingerprint

### Keywords

- Bulk modulus
- CaSiO perovskite
- Diamond anvil cell
- Pressure derivative of bulk modulus
- Quasi-hydrostatic

### ASJC Scopus subject areas

- Geophysics
- Space and Planetary Science

### Cite this

_{3}perovskite to 108 GPa at 300 K.

*Physics of the Earth and Planetary Interiors*,

*120*(4), 327-338. https://doi.org/10.1016/S0031-9201(00)00154-0

**The equation of state of CaSiO _{3} perovskite to 108 GPa at 300 K.** / Shim, Sang-Heon; Duffy, Thomas S.; Shen, Guoyin.

Research output: Contribution to journal › Article

_{3}perovskite to 108 GPa at 300 K',

*Physics of the Earth and Planetary Interiors*, vol. 120, no. 4, pp. 327-338. https://doi.org/10.1016/S0031-9201(00)00154-0

_{3}perovskite to 108 GPa at 300 K. Physics of the Earth and Planetary Interiors. 2000 Aug;120(4):327-338. https://doi.org/10.1016/S0031-9201(00)00154-0

}

TY - JOUR

T1 - The equation of state of CaSiO3 perovskite to 108 GPa at 300 K

AU - Shim, Sang-Heon

AU - Duffy, Thomas S.

AU - Shen, Guoyin

PY - 2000/8

Y1 - 2000/8

N2 - Pressure-volume measurements have been performed for CaSiO3 perovskite to 108 GPa at 300 K using NaCl and argon pressure-transmitting media, and energy dispersive X-ray diffraction (EDXD) in a diamond-anvil cell (DAC). By determining a parameter that is the product of the elastic anisotropy, S, and the uniaxial stress component, t, for each data point, we define the stress condition of the sample. For different points at the same pressure in a temperature-quenched sample, the St value can differ by as much as a factor of 5, indicating heterogeneity in the stress condition. This may be responsible for the large scatter of earlier P-V measurements in the DAC which in general used a large diameter X-ray beam. Also, the St value provides insight into the elastic anisotropy, S, of CaSiO3 perovskite and platinum. The sign of S (positive) for CaSiO3 perovskite agrees with first principles calculations but the magnitude may be inconsistent. A new compression curve at 300 K was obtained for CaSiO3 perovskite by using those data points which represent the most nearly hydrostatic conditions. It is observed that the data points with high St values yield larger volumes than the points with small St values at a given pressure. By selecting the data points having low St values (St ≤ 0.005), combining with lower pressure large volume press (LVP) measurements and fitting to third order Birch-Murnaghan equation of state (EOS), we find that CaSiO3 perovskite is more compressible (V0 = 45.58 ± 0.05 Å3, K(T0) = 236 ± 4 GPa, and K'(T0) = 3.9 ± 0.2 GPa) than suggested by previous studies. The density and bulk modulus of CaSiO3 perovskite at lower mantle pressures and 300 K are 1-3% greater and 5-15% smaller, respectively, than found in previous studies. This study demonstrates that defining the stress state of the sample is crucial to obtain an accurate 300 K compression curve for unquenchable high-pressure phases. (C) 2000 Elsevier Science B.V. All rights reserved.

AB - Pressure-volume measurements have been performed for CaSiO3 perovskite to 108 GPa at 300 K using NaCl and argon pressure-transmitting media, and energy dispersive X-ray diffraction (EDXD) in a diamond-anvil cell (DAC). By determining a parameter that is the product of the elastic anisotropy, S, and the uniaxial stress component, t, for each data point, we define the stress condition of the sample. For different points at the same pressure in a temperature-quenched sample, the St value can differ by as much as a factor of 5, indicating heterogeneity in the stress condition. This may be responsible for the large scatter of earlier P-V measurements in the DAC which in general used a large diameter X-ray beam. Also, the St value provides insight into the elastic anisotropy, S, of CaSiO3 perovskite and platinum. The sign of S (positive) for CaSiO3 perovskite agrees with first principles calculations but the magnitude may be inconsistent. A new compression curve at 300 K was obtained for CaSiO3 perovskite by using those data points which represent the most nearly hydrostatic conditions. It is observed that the data points with high St values yield larger volumes than the points with small St values at a given pressure. By selecting the data points having low St values (St ≤ 0.005), combining with lower pressure large volume press (LVP) measurements and fitting to third order Birch-Murnaghan equation of state (EOS), we find that CaSiO3 perovskite is more compressible (V0 = 45.58 ± 0.05 Å3, K(T0) = 236 ± 4 GPa, and K'(T0) = 3.9 ± 0.2 GPa) than suggested by previous studies. The density and bulk modulus of CaSiO3 perovskite at lower mantle pressures and 300 K are 1-3% greater and 5-15% smaller, respectively, than found in previous studies. This study demonstrates that defining the stress state of the sample is crucial to obtain an accurate 300 K compression curve for unquenchable high-pressure phases. (C) 2000 Elsevier Science B.V. All rights reserved.

KW - Bulk modulus

KW - CaSiO perovskite

KW - Diamond anvil cell

KW - Pressure derivative of bulk modulus

KW - Quasi-hydrostatic

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U2 - 10.1016/S0031-9201(00)00154-0

DO - 10.1016/S0031-9201(00)00154-0

M3 - Article

AN - SCOPUS:0033932264

VL - 120

SP - 327

EP - 338

JO - Physics of the Earth and Planetary Interiors

JF - Physics of the Earth and Planetary Interiors

SN - 0031-9201

IS - 4

ER -