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

Research output: Contribution to journalArticle

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’ = 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.

Original languageEnglish
JournalComptes Rendus - Geoscience
DOIs
Publication statusAccepted/In press - Jan 1 2019

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equation of state
scattering
crystal
X-ray diffraction
experiment

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

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 journalArticle

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’ = 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.",
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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

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KW - Primary pressure scale

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