Statistical mechanics of light elements at high pressure. VIII. Thomas-Fermi-Dirac theory for binary mixtures of H with He, C, and O
We present three-dimensional Thomas-Fermi-Dirac calculations of lattice mixing energies of hydrogen with carbon and oxygen atoms, respectively. The results are used to derive effective interatomic potentials for use in liquid-state mixture calculations. We then use the potentials to derive analytic expressions for binary mixture-free energies and to map out the phase diagrams of mixtures of hydrogen with, respectively, helium, carbon, and oxygen, over a pressure range of approx.5 to approx.10T Mbar. Within this pressure range, all three of the latter elements are found to have unlimited solubility in metallic hydrogen over a temperature range which lies above their pure-element melting temperatures, and which includes likely interior temperatures in the Jovian planets.
- Research Organization:
- Department of Planetary Sciences, Lunar and Planetary Laboratory, University of Arizona
- OSTI ID:
- 6280782
- Journal Information:
- Astrophys. J.; (United States), Vol. 297:1
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BINARY MIXTURES
PHASE DIAGRAMS
STATISTICAL MECHANICS
CARBON
HELIUM
HYDROGEN
OXYGEN
FREE ENERGY
LIQUIDS
PERTURBATION THEORY
PLASMA
SOLUBILITY
THERMODYNAMICS
THOMAS-FERMI MODEL
THREE-DIMENSIONAL CALCULATIONS
ATOMIC MODELS
DIAGRAMS
DISPERSIONS
ELEMENTS
ENERGY
FLUIDS
GASES
MATHEMATICAL MODELS
MECHANICS
MIXTURES
NONMETALS
PHYSICAL PROPERTIES
RARE GASES
THERMODYNAMIC PROPERTIES
640302* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory
640305 - Atomic
Molecular & Chemical Physics- Atomic & Molecular Theory- (-1987)