![]() ![]() We found that the pressure-induced change in the thermal expansion parameter of SiC is much smaller than that of Mg silicate perovskite (bridgmanite). Following the Mie-Grüneisen approach, we fit our data to the Birch-Murnaghan or the Vinet equations of state combined with the Debye approach. We found no evidence of dissociations of these phases up to our maximum pressure condition, supporting the stability of SiC to 1900 km depth in Earth-size Si-rich carbide planets. In this work we have measured the pressure-volume-temperature relations of two SiC polymorphs (3C and 6H) at pressures and temperatures up to more » 80 GPa and 1900 K and 65 GPa and 1920 K, respectively, in the laser-heated diamond anvil cell combined with synchrotron X-ray diffraction. However, numerous studies have shown that high pressure in planetary interiors can fundamentally change the physical properties of materials. From the low thermal expansion of SiC at 1 bar, it can be inferred that the buoyancy force of thermal anomalies is much lower in the carbide planets than in the silicate planets. Recent astrophysical observations have shown that some stars have sufficiently high carbon-to-oxygen ratios and may host planets composed mainly of carbides instead of silicates and oxides. Furthermore, the center of HAT-P-2b is probably around 210 TPa, in the range of planned National Ignition Facility experiments, and that of CoRoT-3b around 1900 TPa. These pressures are accessible by planar shock and ramp-loading experiments at large laser facilities. The central pressure in CoRoT-7b is probably close to 0.8 TPa, though may be up to 2 TPa. The pressure at the center of Kepler-10b is 1.5 +1.2 – 1.0 TPa. CoRoT-3b lies close to the hydrogen relation. ![]() HAT-P-2b is slightly denser than the mass–radius relation for hydrogen, suggesting the presence of a significant amount of matter of higher atomic number. CoRoT-2b is less dense than the hydrogen relation, which could be explained by an anomalously high degree of heating or by higher than assumed atmospheric opacity. GJ 1214b lies between the mass–radius curves for H 2O and CH 4, suggesting an "icy" composition with a relatively large core or a relatively large proportion of H 2O. CoRoT-7b is consistent with a rocky mantle over an Fe-based core which is likely to be proportionately smaller than Earth's. Kepler-10b is apparently "Earth-like," likely with a proportionately larger core than Earth's, nominally 2/3 of the mass of the planet. The relations are compared with the observed masses and radii of planets and exoplanets, broadly supporting recent inferences about exoplanet structures. We find that variations in the EOS, such as may more » arise when extrapolating from low-pressure data, can have significant effects on predicted mass–radius relations and on planetary pressure profiles. We lay out a method for deriving and testing equations of state, and deduce mass–radius and mass–pressure relations for key, relevant materials whose equation of state (EOS) is reasonably well established, and for differentiated Fe/rock. The composition implies a mass–radius relation which relies heavily on equations of state calculated from electronic structure theory and measured experimentally on Earth. « lessįor planets other than Earth, particularly exoplanets, interpretation of the composition and structure depends largely on comparing the mass and radius with the composition expected given their distance from the parent star. The center of HAT-P-2b is probably around 210 TPa, in the range of planned National Ignition Facility experiments, and that of CoRoT-3b around 1900 TPa. (LLNL), Livermore, CA (United States) Sponsoring Org.: USDOE National Nuclear Security Administration (NNSA) National Science Foundation (NSF) Princeton Center for Complex Materials (PCCM) OSTI Identifier: 1888106 Report Number(s): LLNL-JRNL-839899 Journal ID: ISSN 2041-1723 1036764 Grant/Contract Number: AC52-07NA27344 NA0001944 NA0003611 EAR-1644614 DRM-2011750 Resource Type: Accepted Manuscript Journal Name: Nature Communications Additional Journal Information: Journal Volume: 13 Journal Issue: 1 Journal ID: ISSN 2041-1723 Publisher: Nature Publishing Group Country of Publication: United States Language: English Subject: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL = TPa. Publication Date: Research Org.: Lawrence Livermore National Lab. Carnegie Institute of Science, Washington, DC (United States).Johns Hopkins University, Baltimore, MD (United States).University of Rochester, NY (United States).Princeton University, NJ (United States). ![]()
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