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Title: Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations

Abstract

We combine two first-principles computer simulation techniques, path integral Monte Carlo and density functional theory molecular dynamics, to determine the equation of state of magnesium oxide in the regime of warm dense matter, with densities ranging from 0.35 to 71 g cm-3 and temperatures ranging from 10 000 K to 5 × 108 K. These conditions are relevant for the interiors of giant planets and stars as well as for shock wave compression measurements and inertial confinement fusion experiments. We study the electronic structure of MgO and the ionization mechanisms as a function of density and temperature. We show that the L-shell orbitals of magnesium and oxygen hybridize at high density. This results in a gradual ionization of the L-shell with increasing density and temperature. In this regard, MgO behaves differently from pure oxygen, which is reflected in the shape of the MgO principal shock Hugoniot curve. The curve of oxygen shows two compression maxima, while that of MgO shows only one. We predict a maximum compression ratio of 4.66 to occur for a temperature of 6.73 × 107 K. Lastly, we research how multiple shocks and ramp waves can be used to cover a large range of densities andmore » temperatures.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [2]
  1. Univ. of California, Berkeley, CA (United States); Univ. of Lyon (France)
  2. Univ. of California, Berkeley, CA (United States)
  3. Univ. of California, Berkeley, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  4. Univ. of California, Berkeley, CA (United States); Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1633879
Alternate Identifier(s):
OSTI ID: 1576664; OSTI ID: 1669248
Report Number(s):
LLNL-JRNL-813897
Journal ID: ISSN 0021-9606; TRN: US2201255
Grant/Contract Number:  
NA0003842; SC0016248; AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 151; Journal Issue: 21; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Physics - Plasma physics , Physics - Condensed matter physics

Citation Formats

Soubiran, François, González-Cataldo, Felipe, Driver, Kevin P., Zhang, Shuai, and Militzer, Burkhard. Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations. United States: N. p., 2019. Web. doi:10.1063/1.5126624.
Soubiran, François, González-Cataldo, Felipe, Driver, Kevin P., Zhang, Shuai, & Militzer, Burkhard. Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations. United States. https://doi.org/10.1063/1.5126624
Soubiran, François, González-Cataldo, Felipe, Driver, Kevin P., Zhang, Shuai, and Militzer, Burkhard. Mon . "Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations". United States. https://doi.org/10.1063/1.5126624. https://www.osti.gov/servlets/purl/1633879.
@article{osti_1633879,
title = {Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations},
author = {Soubiran, François and González-Cataldo, Felipe and Driver, Kevin P. and Zhang, Shuai and Militzer, Burkhard},
abstractNote = {We combine two first-principles computer simulation techniques, path integral Monte Carlo and density functional theory molecular dynamics, to determine the equation of state of magnesium oxide in the regime of warm dense matter, with densities ranging from 0.35 to 71 g cm-3 and temperatures ranging from 10 000 K to 5 × 108 K. These conditions are relevant for the interiors of giant planets and stars as well as for shock wave compression measurements and inertial confinement fusion experiments. We study the electronic structure of MgO and the ionization mechanisms as a function of density and temperature. We show that the L-shell orbitals of magnesium and oxygen hybridize at high density. This results in a gradual ionization of the L-shell with increasing density and temperature. In this regard, MgO behaves differently from pure oxygen, which is reflected in the shape of the MgO principal shock Hugoniot curve. The curve of oxygen shows two compression maxima, while that of MgO shows only one. We predict a maximum compression ratio of 4.66 to occur for a temperature of 6.73 × 107 K. Lastly, we research how multiple shocks and ramp waves can be used to cover a large range of densities and temperatures.},
doi = {10.1063/1.5126624},
journal = {Journal of Chemical Physics},
number = 21,
volume = 151,
place = {United States},
year = {Mon Dec 02 00:00:00 EST 2019},
month = {Mon Dec 02 00:00:00 EST 2019}
}

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Cited by: 12 works
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Works referenced in this record:

Correlations in hot dense helium
journal, May 2009


Crystallization of the One-Component Plasma at Finite Temperature
journal, June 1996


Phase transitions in MgSiO3 post-perovskite in super-Earth mantles
journal, November 2017

  • Umemoto, Koichiro; Wentzcovitch, Renata M.; Wu, Shunqing
  • Earth and Planetary Science Letters, Vol. 478
  • DOI: 10.1016/j.epsl.2017.08.032

Characterization of the State of Hydrogen at High Temperature and Density
journal, January 1999

  • Militzer, B.; Magro, W.; Ceperley, D.
  • Contributions to Plasma Physics, Vol. 39, Issue 1-2
  • DOI: 10.1002/ctpp.2150390137

First-principles equation of state and electronic properties of warm dense oxygen
journal, October 2015

  • Driver, K. P.; Soubiran, F.; Zhang, Shuai
  • The Journal of Chemical Physics, Vol. 143, Issue 16
  • DOI: 10.1063/1.4934348

Rocky super-Earth interiors: Structure and internal dynamics of CoRoT-7b and Kepler-10b
journal, May 2012


Path integral Monte Carlo calculation of the momentum distribution of the homogeneous electron gas at finite temperature
journal, January 2019


Phase Transformations and Metallization of Magnesium Oxide at High Pressure and Temperature
journal, November 2012


Importance of finite-temperature exchange correlation for warm dense matter calculations
journal, June 2016


First Principles Calculations of Shock Compressed Fluid Helium
journal, October 2006


Path integral Monte Carlo simulation of the low-density hydrogen plasma
journal, May 2001


Structural stability of polymeric nitrogen: A first-principles investigation
journal, January 2010

  • Wang, Xiaoli; Tian, Fubo; Wang, Liancheng
  • The Journal of Chemical Physics, Vol. 132, Issue 2
  • DOI: 10.1063/1.3290954

Electrical conductivity and magnetic dynamos in magma oceans of Super-Earths
journal, September 2018


Calculation of a Deuterium Double Shock Hugoniot from Ab Initio Simulations
journal, December 2001


Constant Temperature Molecular Dynamics Methods
journal, January 1991

  • Nosé, Shuichi
  • Progress of Theoretical Physics Supplement, Vol. 103
  • DOI: 10.1143/ptps.103.1

Comparison of path integral Monte Carlo simulations of helium, carbon, nitrogen, oxygen, water, neon, and silicon plasmas
journal, June 2017


Multiphase equation of state for carbon addressing high pressures and temperatures
journal, June 2014


Composition and fate of short-period super-Earths: The case of CoRoT-7b
journal, June 2010


Path Integral Monte Carlo Calculation of the Deuterium Hugoniot
journal, August 2000


Computation of the high temperature Coulomb density matrix in periodic boundary conditions
journal, July 2016


The role of high-pressure experiments on determining super-Earth properties
journal, May 2009

  • Valencia, Diana; O’Connell, Richard J.; Sasselov, Dimitar D.
  • Astrophysics and Space Science, Vol. 322, Issue 1-4
  • DOI: 10.1007/s10509-009-0034-6

A unified formulation of the constant temperature molecular dynamics methods
journal, July 1984

  • Nosé, Shuichi
  • The Journal of Chemical Physics, Vol. 81, Issue 1
  • DOI: 10.1063/1.447334

Shock compression of stishovite and melting of silica at planetary interior conditions
journal, January 2015


Equation of state of boron nitride combining computation, modeling, and experiment
journal, April 2019


Comparison of Jupiter interior models derived from first-principles simulations
journal, December 2008


Dense Plasma Effects on Nuclear Reaction Rates
journal, January 2004


Phase transition in MgSiO3 perovskite in the earth's lower mantle
journal, August 2004

  • Tsuchiya, Taku; Tsuchiya, Jun; Umemoto, Koichiro
  • Earth and Planetary Science Letters, Vol. 224, Issue 3-4
  • DOI: 10.1016/j.epsl.2004.05.017

A new quotidian equation of state (QEOS) for hot dense matter
journal, January 1988

  • More, R. M.; Warren, K. H.; Young, D. A.
  • Physics of Fluids, Vol. 31, Issue 10
  • DOI: 10.1063/1.866963

First-principles equation of state and shock compression predictions of warm dense hydrocarbons
journal, July 2017


Hydrogen–Helium Mixtures at High Pressure
journal, June 2005


All-Electron Path Integral Monte Carlo Simulations of Warm Dense Matter: Application to Water and Carbon Plasmas
journal, March 2012


Amorphization-induced surface electronic states modulation of cobaltous oxide nanosheets for lithium-sulfur batteries
journal, May 2021


High-mode Rayleigh-Taylor growth in NIF ignition capsules
journal, June 2010


Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020


Simulation of quantum many-body systems by path-integral methods
journal, September 1984


Equation of State of the Hydrogen Plasma by Path Integral Monte Carlo Simulation
journal, October 1994


Equilibrium contact probabilities in dense plasmas
journal, April 2005


An Optimized Method for Treating Long-Range Potentials
journal, March 1995

  • Natoli, Vincent; Ceperley, David M.
  • Journal of Computational Physics, Vol. 117, Issue 1
  • DOI: 10.1006/jcph.1995.1054

Molecular dynamics of NaCl (B1 and B2) and MgO (B1) melting; two-phase simulation
journal, April 1996

  • Belonoshko, Anatoly B.; Dubrovinsky, Leonid S.
  • American Mineralogist, Vol. 81, Issue 3-4
  • DOI: 10.2138/am-1996-3-404

Mass‐Radius Relationships for Solid Exoplanets
journal, November 2007

  • Seager, S.; Kuchner, M.; Hier‐Majumder, C. A.
  • The Astrophysical Journal, Vol. 669, Issue 2
  • DOI: 10.1086/521346

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021


A New Equation of State for Dense Hydrogen–Helium Mixtures
journal, February 2019


Development of Path Integral Monte Carlo Simulations with Localized Nodal Surfaces for Second-Row Elements
journal, October 2015


Equation of state and shock compression of warm dense sodium—A first-principles study
journal, February 2017

  • Zhang, Shuai; Driver, Kevin P.; Soubiran, François
  • The Journal of Chemical Physics, Vol. 146, Issue 7
  • DOI: 10.1063/1.4976559

First-principles prediction of the softening of the silicon shock Hugoniot curve
journal, September 2016


Two-stage dissociation in MgSiO3 post-perovskite
journal, November 2011

  • Umemoto, Koichiro; Wentzcovitch, Renata M.
  • Earth and Planetary Science Letters, Vol. 311, Issue 3-4
  • DOI: 10.1016/j.epsl.2011.09.032

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

  • Zhang, Shuai; Militzer, Burkhard; Benedict, Lorin X.
  • The Journal of Chemical Physics, Vol. 148, Issue 10
  • DOI: 10.1063/1.5001208

Fermion nodes
journal, June 1991

  • Ceperley, D. M.
  • Journal of Statistical Physics, Vol. 63, Issue 5-6
  • DOI: 10.1007/bf01030009

Shock Response and Phase Transitions of MgO at Planetary Impact Conditions
text, January 2015


The importance of finite-temperature exchange-correlation for warm dense matter calculations
text, January 2016


First-Principles Equation of State and Electronic Properties of Warm Dense Oxygen
text, January 2016


First-Principles Simulations of Warm Dense Lithium Fluoride
text, January 2017


First-principles Equation of State and Shock Compression Predictions of Warm Dense Hydrocarbons
text, January 2017


Phase transitions in MgSiO3 post-perovskite in super-Earth mantles
text, January 2017


A new equation of state for dense hydrogen-helium mixtures
text, January 2019


Calculation of a Deuterium Double Shock Hugoniot from Ab initio Simulations
text, January 2001


Fermion nodes
journal, June 1991

  • Ceperley, D. M.
  • Journal of Statistical Physics, Vol. 63, Issue 5-6
  • DOI: 10.1007/bf01030009

Computation of the high temperature Coulomb density matrix in periodic boundary conditions
journal, July 2016


Rocky super-Earth interiors: Structure and internal dynamics of CoRoT-7b and Kepler-10b
journal, May 2012


Path integral Monte Carlo simulation of the low-density hydrogen plasma
journal, May 2001


Mass-Radius Relationships for Solid Exoplanets
text, January 2007


Correlations in Hot Dense Helium
text, January 2009


First-Principles Equation of State and Electronic Properties of Warm Dense Oxygen
text, January 2016


First-Principles Prediction of the Softening of the Silicon Shock Hugoniot Curve
text, January 2016


Equation of state of warm-dense boron nitride combining computation, modeling, and experiment
text, January 2019


Calculation of a Deuterium Double Shock Hugoniot from Ab initio Simulations
text, January 2001


Equation of state of fully ionized electron-ion plasmas
text, January 1998


Characterization of the State of Hydrogen
text, January 1999


Works referencing / citing this record:

Equation of State of Hot, Dense Magnesium Derived with First-PrinciplesComputer Simulations
text, January 2020


First-Principles Equation of State Database for Warm Dense Matter Computation
text, January 2020