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Title: First-principles equation of state and electronic properties of warm dense oxygen

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4934348· OSTI ID:1469578
 [1]; ORCiD logo [1];  [1];  [2]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Earth and Planetary Science
  2. Univ. of California, Berkeley, CA (United States). Dept. of Earth and Planetary Science. Dept. of Astronomy

In this paper, we perform all-electron path integral Monte Carlo (PIMC) and density functional theory molecular dynamics (DFT-MD) calculations to explore warm dense matter states of oxygen. Our simulations cover a wide density-temperature range of 1–100 g cm-3 and 104–109 K. By combining results from PIMC and DFT-MD, we are able to compute pressures and internal energies from first-principles at all temperatures and provide a coherent equation of state. We compare our first-principles calculations with analytic equations of state, which tend to agree for temperatures above 8 × 106 K. Pair-correlation functions and the electronic density of states reveal an evolving plasma structure and ionization process that is driven by temperature and density. As we increase the density at constant temperature, we find that the ionization fraction of the 1s state decreases while the other electronic states move towards the continuum. The computed shock Hugoniot curves show an increase in compression as the first and second shells are ionized.

Research Organization:
University of California, Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Science Foundation (NSF)
Grant/Contract Number:
SC0010517; CNS-0821794
OSTI ID:
1469578
Alternate ID(s):
OSTI ID: 1224336
Journal Information:
Journal of Chemical Physics, Vol. 143, Issue 16; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 36 works
Citation information provided by
Web of Science

References (64)

Generalized Gradient Approximation Made Simple journal October 1996
Correlations in hot dense helium journal May 2009
Projector augmented-wave method journal December 1994
Theory of Giant Planets journal September 2002
Synthesis of the elements in stars: forty years of progress journal October 1997
Properties and computation of the Coulomb pair density matrix journal December 1988
First Principles Calculations of Shock Compressed Fluid Helium text January 2006
Path-Integral Monte Carlo Simulation of the Warm Dense Homogeneous Electron Gas journal April 2013
Low-Energy Linear Structures in Dense Oxygen: Implications for the ε Phase journal May 2002
On the Carbon-To-Oxygen Ratio Measurement in Nearby Sun-Like Stars: Implications for Planet Formation and the Determination of Stellar Abundances journal February 2012
Shock Hugoniots of Molecular Liquids and the Principle of Corresponding States
  • Chisolm, Eric D.; Crockett, Scott D.; Shaw, M. Sam
  • SHOCK COMPRESSION OF CONDENSED MATTER 2009: Proceedings of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3295199
conference January 2009
ABINIT: First-principles approach to material and nanosystem properties journal December 2009
Persistence and eventual demise of oxygen molecules at terapascal pressures text January 2011
solid oxygen book January 2014
Synthesis of the elements in stars: forty years of progress text January 1997
Optical response of very high density solid oxygen to 132 GPa journal February 1990
The theory of brown dwarfs and extrasolar giant planets journal September 2001
Solid oxygen journal November 2004
Path integral Monte Carlo and density functional molecular dynamics simulations of hot, dense helium journal April 2009
Synthesis of the Elements in Stars journal October 1957
The Potential of White Dwarf Cosmochronology
  • Fontaine, G.; Brassard, P.; Bergeron, P.
  • Publications of the Astronomical Society of the Pacific, Vol. 113, Issue 782 https://doi.org/10.1086/319535
journal April 2001
Repulsive forces of simple molecules and mixtures at high density and temperature journal December 1980
Shock compression of liquid argon, nitrogen, and oxygen to 90 GPa (900 kbar) journal December 1980
Oxygen and Other Volatiles in the Giant Planets and their Satellites journal January 2008
Superconductivity in oxygen journal June 1998
The astrophysics of cool white dwarfs journal September 2004
Solid oxygen takes shape journal September 2006
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal February 2020
The Rate of Star Formation. journal January 1959
Stellar interiors book June 2014
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Equation of state of fully ionized electron-ion plasmas journal October 1998
What do we (not) know theoretically about solar neutrino fluxes? text January 2004
Path integrals in the theory of condensed helium journal April 1995
Cooling Sequences and Color‐Magnitude Diagrams for Cool White Dwarfs with Hydrogen Atmospheres journal November 2000
Equations of State for Stellar Partial Ionization Zones journal January 1977
Ab initio study of shock compressed oxygen journal April 2010
Blast Waves book January 2010
Structural and dynamical properties of hot dense matter by a Thomas-Fermi-Dirac molecular dynamics journal September 2006
Oxygen abundances in the Galactic bulge: evidence for fast chemical enrichment journal September 2006
Progress in the study of warm dense matter journal November 2005
Electrical conductivity and equation of state of shock‐compressed liquid oxygen journal April 1988
Convective white-dwarf envelope model grids for H-, He-, and C-rich compositions journal May 1976
Shock Compression of a Fifth Period Element: Liquid Xenon to 840 GPa journal August 2010
Polymorphism of dense, hot oxygen journal August 2011
Blast Waves book January 2018
Relativistic free-free Gaunt factor of the dense high-temperature stellar plasma. II - Carbon and oxygen plasmas journal September 1990
H 4 O and other hydrogen-oxygen compounds at giant-planet core pressures journal January 2013
Structure and bonding of dense liquid oxygen from first principles simulations text January 2003
New High-Pressure Structural Transition of Oxygen at 96 GPa Associated with Metallization in a Molecular Solid journal June 1995
First-principles simulations and shock Hugoniot calculations of warm dense neon journal January 2015
Structure of the metallic ζ -phase of oxygen and isosymmetric nature of the ε ζ phase transition: Ab initio simulations journal August 2007
Atmospheric Chemistry in Giant Planets, Brown Dwarfs, and Low-Mass Dwarf Stars I. Carbon, Nitrogen, and Oxygen journal February 2002
Persistence and Eventual Demise of Oxygen Molecules at Terapascal Pressures journal January 2012
Solubility of Water ice in Metallic Hydrogen: Consequences for core Erosion in gas Giant Planets journal December 2011
Observation of an O8 molecular lattice in the ɛ phase of solid oxygen journal September 2006
THE INTERIORS OF GIANT PLANETS: Models and Outstanding Questions journal May 2005
Implications of Shock wave Experiments with Precompressed Materials for Giant Planet Interiors
  • Militzer, Burkhard; Hubbard, William B.; Elert, Mark
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2007: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.2832986
conference January 2008
Solar System Abundances and Condensation Temperatures of the Elements journal July 2003
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
A Projector Augmented Wave (PAW) code for electronic structure calculations, Part I: atompaw for generating atom-centered functions journal April 2001
The dissociation and equation of state of dense fluid oxygen at high pressures and high temperatures journal March 2008
High Pressure Insulator-Metal Transition in Molecular Fluid Oxygen text January 2001
Blast Waves book January 1970

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Using density matrix quantum Monte Carlo for calculating exact-on-average energies for ab-initio Hamiltonians in a finite basis set preprint January 2019
First-Principles Equation of State Database for Warm Dense Matter Computation text January 2020
First-principles equation of state calculations of warm dense nitrogen journal February 2016
Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas journal March 2018
Nonideal Mixing Effects in Warm Dense Matter Studied with First-Principles Computer Simulations text January 2020
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