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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 |
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| Institution: | 1. Frontier Research Institute for Interdisciplinary Sciences, Tohoku University, 6-3 Aramaki, Aoba, Sendai, 980-8578 Miyagi, Japan;2. Department of Earth Science, Graduate School of Science, Tohoku University, 6-3 Aramaki, Aoba, Sendai, 980-8578 Miyagi, Japan;3. Graduate School of Material Science, University of Hyogo, 3-2-1 Kouto, Kamigori, 678-1297 Hyogo, Japan;4. Materials Dynamics Laboratory, RIKEN SPring-8 Center, RIKEN, 1-1-1 Kouto, Sayo, 679-5148 Hyogo Japan;5. Institute for Planetary Materials, Okayama University, 827 Yamada, Misasa, 682-0193 Tottori, Japan;6. Japan Synchrotron Radiation Research Institute (JASRI), 1-1-1 Kouto, Sayo, 679-5198 Hyogo, Japan |
| 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. |
| Keywords: | Primary pressure scale Platinum Single crystal Inelastic X-ray scattering Diamond anvil cell |
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