Elastic constants of single-crystal Pt measured up to 20 GPa based on inelastic X-ray scattering: Implication for the establishment of an equation of state

Seiji Kamada; Hiroshi Fukui; Akira Yoneda; Hitoshi Gomi; Fumiya Maeda; Satoshi Tsutsui; Hiroshi Uchiyama; Naohisa Hirao; Daisuke Ishikawa; Alfred Q.R. Baron

doi:10.1016/j.crte.2018.11.003

Elastic constants of single-crystal Pt measured up to 20 GPa based on inelastic X-ray scattering: Implication for the establishment of an equation of state

Seiji Kamada, Hiroshi Fukui, Akira Yoneda, Hitoshi Gomi, Fumiya Maeda, Satoshi Tsutsui, Hiroshi Uchiyama, Naohisa Hirao, Daisuke Ishikawa, Alfred Q.R. Baron

Institute for Planetary Materials

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

Phonon velocities and densities for Pt were measured based on inelastic X-ray scattering from ambient pressure to 20 GPa in order to independently determine its equation of state (EOS). Phonon velocities were determined with sine dispersion relations. C_ij values were obtained by fitting phonon velocities and densities to the Christoffel equation. We found that the obtained C_ijs were in good agreement with previously reported C_ijs at ambient condition. Based on the C_ij values in various conditions, experimental pressures were calculated. The EOS of Pt as a primary pressure scale was determined based on the experimental pressures. We report K’ = 5.17 with fixed K_T = 274.1 GPa and V₀ = 60.360 Å³ for Vinet EOS. Our scale is in good agreement with several previously published scales based on shock experiments and XRD.

Original language	English
Journal	Comptes Rendus - Geoscience
DOIs	https://doi.org/10.1016/j.crte.2018.11.003
Publication status	Accepted/In press - Jan 1 2019

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Keywords

Diamond anvil cell
Inelastic X-ray scattering
Platinum
Primary pressure scale
Single crystal

ASJC Scopus subject areas

Global and Planetary Change
Earth and Planetary Sciences(all)

Cite this

Kamada, S., Fukui, H., Yoneda, A., Gomi, H., Maeda, F., Tsutsui, S., Uchiyama, H., Hirao, N., Ishikawa, D., & Baron, A. Q. R. (Accepted/In press). Elastic constants of single-crystal Pt measured up to 20 GPa based on inelastic X-ray scattering: Implication for the establishment of an equation of state. Comptes Rendus - Geoscience. https://doi.org/10.1016/j.crte.2018.11.003

Elastic constants of single-crystal Pt measured up to 20 GPa based on inelastic X-ray scattering : Implication for the establishment of an equation of state. / Kamada, Seiji; Fukui, Hiroshi; Yoneda, Akira; Gomi, Hitoshi; Maeda, Fumiya; Tsutsui, Satoshi; Uchiyama, Hiroshi; Hirao, Naohisa; Ishikawa, Daisuke; Baron, Alfred Q.R.

In: Comptes Rendus - Geoscience, 01.01.2019.

Research output: Contribution to journal › Article

Kamada, Seiji ; Fukui, Hiroshi ; Yoneda, Akira ; Gomi, Hitoshi ; Maeda, Fumiya ; Tsutsui, Satoshi ; Uchiyama, Hiroshi ; Hirao, Naohisa ; Ishikawa, Daisuke ; Baron, Alfred Q.R. / Elastic constants of single-crystal Pt measured up to 20 GPa based on inelastic X-ray scattering : Implication for the establishment of an equation of state. In: Comptes Rendus - Geoscience. 2019.

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abstract = "Phonon velocities and densities for Pt were measured based on inelastic X-ray scattering from ambient pressure to 20 GPa in order to independently determine its equation of state (EOS). Phonon velocities were determined with sine dispersion relations. Cij values were obtained by fitting phonon velocities and densities to the Christoffel equation. We found that the obtained Cijs were in good agreement with previously reported Cijs at ambient condition. Based on the Cij values in various conditions, experimental pressures were calculated. The EOS of Pt as a primary pressure scale was determined based on the experimental pressures. We report K{\textquoteright} = 5.17 with fixed KT = 274.1 GPa and V0 = 60.360 {\AA}3 for Vinet EOS. Our scale is in good agreement with several previously published scales based on shock experiments and XRD.",

keywords = "Diamond anvil cell, Inelastic X-ray scattering, Platinum, Primary pressure scale, Single crystal",

author = "Seiji Kamada and Hiroshi Fukui and Akira Yoneda and Hitoshi Gomi and Fumiya Maeda and Satoshi Tsutsui and Hiroshi Uchiyama and Naohisa Hirao and Daisuke Ishikawa and Baron, {Alfred Q.R.}",

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T2 - Implication for the establishment of an equation of state

AU - Kamada, Seiji

AU - Fukui, Hiroshi

AU - Yoneda, Akira

AU - Gomi, Hitoshi

AU - Maeda, Fumiya

AU - Tsutsui, Satoshi

AU - Uchiyama, Hiroshi

AU - Hirao, Naohisa

AU - Ishikawa, Daisuke

AU - Baron, Alfred Q.R.

PY - 2019/1/1

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N2 - Phonon velocities and densities for Pt were measured based on inelastic X-ray scattering from ambient pressure to 20 GPa in order to independently determine its equation of state (EOS). Phonon velocities were determined with sine dispersion relations. Cij values were obtained by fitting phonon velocities and densities to the Christoffel equation. We found that the obtained Cijs were in good agreement with previously reported Cijs at ambient condition. Based on the Cij values in various conditions, experimental pressures were calculated. The EOS of Pt as a primary pressure scale was determined based on the experimental pressures. We report K’ = 5.17 with fixed KT = 274.1 GPa and V0 = 60.360 Å3 for Vinet EOS. Our scale is in good agreement with several previously published scales based on shock experiments and XRD.

AB - Phonon velocities and densities for Pt were measured based on inelastic X-ray scattering from ambient pressure to 20 GPa in order to independently determine its equation of state (EOS). Phonon velocities were determined with sine dispersion relations. Cij values were obtained by fitting phonon velocities and densities to the Christoffel equation. We found that the obtained Cijs were in good agreement with previously reported Cijs at ambient condition. Based on the Cij values in various conditions, experimental pressures were calculated. The EOS of Pt as a primary pressure scale was determined based on the experimental pressures. We report K’ = 5.17 with fixed KT = 274.1 GPa and V0 = 60.360 Å3 for Vinet EOS. Our scale is in good agreement with several previously published scales based on shock experiments and XRD.

KW - Diamond anvil cell

KW - Inelastic X-ray scattering

KW - Platinum

KW - Primary pressure scale

KW - Single crystal

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Access to Document

10.1016/j.crte.2018.11.003