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 »
- Authors:
-
- Univ. of California, Berkeley, CA (United States); Univ. of Lyon (France)
- Univ. of California, Berkeley, CA (United States)
- Univ. of California, Berkeley, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- 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 Lab. (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 = {2019},
month = {12}
}
Web of Science
Works referenced in this record:
Ab initio calculations of the B1-B2 phase transition in MgO
journal, March 2019
- Bouchet, J.; Bottin, F.; Recoules, V.
- Physical Review B, Vol. 99, Issue 9
Correlations in hot dense helium
journal, May 2009
- Militzer, Burkhard
- Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 21
Crystallization of the One-Component Plasma at Finite Temperature
journal, June 1996
- Jones, M. D.; Ceperley, D. M.
- Physical Review Letters, Vol. 76, Issue 24
Demixing Instability in Dense Molten and the Phase Diagram of MgO
journal, March 2013
- Boates, Brian; Bonev, Stanimir A.
- Physical Review Letters, Vol. 110, Issue 13
Laser-shock compression of magnesium oxide in the warm-dense-matter regime
journal, August 2015
- Miyanishi, K.; Tange, Y.; Ozaki, N.
- Physical Review E, Vol. 92, Issue 2
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
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
Equation of State and Shear Strength at Multimegabar Pressures: Magnesium Oxide to 227 GPa
journal, February 1995
- Duffy, Thomas S.; Hemley, Russell J.; Mao, Ho-kwang
- Physical Review Letters, Vol. 74, Issue 8
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
Rocky super-Earth interiors: Structure and internal dynamics of CoRoT-7b and Kepler-10b
journal, May 2012
- Wagner, F. W.; Tosi, N.; Sohl, F.
- Astronomy & Astrophysics, Vol. 541
Path integral Monte Carlo calculation of the momentum distribution of the homogeneous electron gas at finite temperature
journal, January 2019
- Militzer, B.; Pollock, E. L.; Ceperley, D. M.
- High Energy Density Physics, Vol. 30
Phase Transformations and Metallization of Magnesium Oxide at High Pressure and Temperature
journal, November 2012
- McWilliams, R. S.; Spaulding, D. K.; Eggert, J. H.
- Science, Vol. 338, Issue 6112
Importance of finite-temperature exchange correlation for warm dense matter calculations
journal, June 2016
- Karasiev, Valentin V.; Calderín, Lázaro; Trickey, S. B.
- Physical Review E, Vol. 93, Issue 6
First Principles Calculations of Shock Compressed Fluid Helium
journal, October 2006
- Militzer, B.
- Physical Review Letters, Vol. 97, Issue 17
Path integral Monte Carlo simulation of the low-density hydrogen plasma
journal, May 2001
- Militzer, B.; Ceperley, D. M.
- Physical Review E, Vol. 63, Issue 6
Path integral Monte Carlo and density functional molecular dynamics simulations of hot, dense helium
journal, April 2009
- Militzer, B.
- Physical Review B, Vol. 79, Issue 15
Path integral Monte Carlo simulations of warm dense aluminum
journal, June 2018
- Driver, K. P.; Soubiran, F.; Militzer, B.
- Physical Review E, Vol. 97, Issue 6
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
Electrical conductivity and magnetic dynamos in magma oceans of Super-Earths
journal, September 2018
- Soubiran, François; Militzer, Burkhard
- Nature Communications, Vol. 9, Issue 1
Thermodynamically complete equation of state of MgO from true radiative shock temperature measurements on samples preheated to 1850 K
journal, January 2018
- Fat'yanov, O. V.; Asimow, P. D.; Ahrens, T. J.
- Physical Review B, Vol. 97, Issue 2
Calculation of a Deuterium Double Shock Hugoniot from Ab Initio Simulations
journal, December 2001
- Militzer, B.; Ceperley, D. M.; Kress, J. D.
- Physical Review Letters, Vol. 87, Issue 27
The melting points of MgO up to 4 TPa predicted based on ab initio thermodynamic integration molecular dynamics
journal, February 2018
- Taniuchi, Takashi; Tsuchiya, Taku
- Journal of Physics: Condensed Matter, Vol. 30, Issue 11
Comparison of path integral Monte Carlo simulations of helium, carbon, nitrogen, oxygen, water, neon, and silicon plasmas
journal, June 2017
- Driver, K. P.; Soubiran, Francois; Zhang, Shuai
- High Energy Density Physics, Vol. 23
Ab Initio Equation of State for Hydrogen-Helium Mixtures with Recalibration of the Giant-Planet Mass-Radius Relation
journal, August 2013
- Militzer, B.; Hubbard, W. B.
- The Astrophysical Journal, Vol. 774, Issue 2
Composition and fate of short-period super-Earths: The case of CoRoT-7b
journal, June 2010
- Valencia, D.; Ikoma, M.; Guillot, T.
- Astronomy and Astrophysics, Vol. 516
Path Integral Monte Carlo Calculation of the Deuterium Hugoniot
journal, August 2000
- Militzer, B.; Ceperley, D. M.
- Physical Review Letters, Vol. 85, Issue 9
Computation of the high temperature Coulomb density matrix in periodic boundary conditions
journal, July 2016
- Militzer, B.
- Computer Physics Communications, Vol. 204
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
Thermal Properties of the Inhomogeneous Electron Gas
journal, March 1965
- Mermin, N. David
- Physical Review, Vol. 137, Issue 5A
First-principles simulations and shock Hugoniot calculations of warm dense neon
journal, January 2015
- Driver, K. P.; Militzer, B.
- Physical Review B, Vol. 91, Issue 4
A unified formulation of the constant temperature molecular dynamics methods
journal, July 1984
- Nosé, Shuichi
- The Journal of Chemical Physics, Vol. 81, Issue 1
Equation of state of fully ionized electron-ion plasmas
journal, October 1998
- Chabrier, Gilles; Potekhin, Alexander Y.
- Physical Review E, Vol. 58, Issue 4
Decaying shock studies of phase transitions in MgO-SiO 2 systems: Implications for the super-Earths' interiors : Decaying Shock in MgO-SiO
journal, September 2016
- Bolis, R. M.; Morard, G.; Vinci, T.
- Geophysical Research Letters, Vol. 43, Issue 18
Shock compression of stishovite and melting of silica at planetary interior conditions
journal, January 2015
- Millot, M.; Dubrovinskaia, N.; ernok, A.
- Science, Vol. 347, Issue 6220
Validating density-functional theory simulations at high energy-density conditions with liquid krypton shock experiments to 850 GPa on Sandia's Z machine
journal, November 2014
- Mattsson, Thomas R.; Root, Seth; Mattsson, Ann E.
- Physical Review B, Vol. 90, Issue 18
Comparison of Jupiter interior models derived from first-principles simulations
journal, December 2008
- Militzer, B.; Hubbard, W. B.
- Astrophysics and Space Science, Vol. 322, Issue 1-4
First-principles simulations of warm dense lithium fluoride
journal, April 2017
- Driver, K. P.; Militzer, B.
- Physical Review E, Vol. 95, Issue 4
Dense Plasma Effects on Nuclear Reaction Rates
journal, January 2004
- Pollock, E. L.; Militzer, B.
- Physical Review Letters, Vol. 92, Issue 2
Molecular Dissociation in Hot, Dense Hydrogen
journal, February 1996
- Magro, W. R.; Ceperley, D. M.; Pierleoni, C.
- Physical Review Letters, Vol. 76, Issue 8
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
Shock Response and Phase Transitions of MgO at Planetary Impact Conditions
journal, November 2015
- Root, Seth; Shulenburger, Luke; Lemke, Raymond W.
- Physical Review Letters, Vol. 115, Issue 19
Path integrals in the theory of condensed helium
journal, April 1995
- Ceperley, D. M.
- Reviews of Modern Physics, Vol. 67, Issue 2
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
Rocky Core Solubility in Jupiter and Giant Exoplanets
journal, March 2012
- Wilson, Hugh F.; Militzer, Burkhard
- Physical Review Letters, Vol. 108, Issue 11
Hugoniot, sound velocity, and shock temperature of MgO to 2300 GPa
journal, July 2019
- McCoy, C. A.; Marshall, M. C.; Polsin, D. N.
- Physical Review B, Vol. 100, Issue 1
First-principles equation of state and shock compression predictions of warm dense hydrocarbons
journal, July 2017
- Zhang, Shuai; Driver, Kevin P.; Soubiran, François
- Physical Review E, Vol. 96, Issue 1
Hydrogen–Helium Mixtures at High Pressure
journal, June 2005
- Militzer, Burkhard
- Journal of Low Temperature Physics, Vol. 139, Issue 5-6
All-Electron Path Integral Monte Carlo Simulations of Warm Dense Matter: Application to Water and Carbon Plasmas
journal, March 2012
- Driver, K. P.; Militzer, B.
- Physical Review Letters, Vol. 108, Issue 11
Amorphization-induced surface electronic states modulation of cobaltous oxide nanosheets for lithium-sulfur batteries
journal, May 2021
- Li, Ruilong; Rao, Dewei; Zhou, Jianbin
- Nature Communications, Vol. 12, Issue 1
Self-consistent thermodynamic description of silicate liquids, with application to shock melting of MgO periclase and MgSiO 3 perovskite
journal, July 2009
- de Koker, Nico; Stixrude, Lars
- Geophysical Journal International, Vol. 178, Issue 1
High-mode Rayleigh-Taylor growth in NIF ignition capsules
journal, June 2010
- Hammel, B. A.; Haan, S. W.; Clark, D. S.
- High Energy Density Physics, Vol. 6, Issue 2
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020
- Tatemizo, Nobuyuki; Imada, Saki; Okahara, Kizuna
- Scientific Reports, Vol. 10, Issue 1
Simulation of quantum many-body systems by path-integral methods
journal, September 1984
- Pollock, E. L.; Ceperley, D. M.
- Physical Review B, Vol. 30, Issue 5
Thermodynamic properties of at super-Earth mantle conditions
journal, June 2018
- Fratanduono, D. E.; Millot, M.; Kraus, R. G.
- Physical Review B, Vol. 97, Issue 21
Theoretical and experimental investigation of the equation of state of boron plasmas
journal, August 2018
- Zhang, Shuai; Militzer, Burkhard; Gregor, Michelle C.
- Physical Review E, Vol. 98, Issue 2
Equation of State of the Hydrogen Plasma by Path Integral Monte Carlo Simulation
journal, October 1994
- Pierleoni, C.; Ceperley, D. M.; Bernu, B.
- Physical Review Letters, Vol. 73, Issue 16
Equilibrium contact probabilities in dense plasmas
journal, April 2005
- Militzer, B.; Pollock, E. L.
- Physical Review B, Vol. 71, Issue 13
An Optimized Method for Treating Long-Range Potentials
journal, March 1995
- Natoli, Vincent; Ceperley, David M.
- Journal of Computational Physics, Vol. 117, Issue 1
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
Ab initio simulations of MgO under extreme conditions
journal, April 2014
- Cebulla, Daniel; Redmer, Ronald
- Physical Review B, Vol. 89, Issue 13
Mass‐Radius Relationships for Solid Exoplanets
journal, November 2007
- Seager, S.; Kuchner, M.; Hier‐Majumder, C. A.
- The Astrophysical Journal, Vol. 669, Issue 2
Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021
- Chen, Ruyi; Cui, Qirui; Liao, Liyang
- Nature Communications, Vol. 12, Issue 1
A New Equation of State for Dense Hydrogen–Helium Mixtures
journal, February 2019
- Chabrier, G.; Mazevet, S.; Soubiran, F.
- The Astrophysical Journal, Vol. 872, Issue 1
Development of Path Integral Monte Carlo Simulations with Localized Nodal Surfaces for Second-Row Elements
journal, October 2015
- Militzer, Burkhard; Driver, Kevin P.
- Physical Review Letters, Vol. 115, Issue 17
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
First-principles prediction of the softening of the silicon shock Hugoniot curve
journal, September 2016
- Hu, S. X.; Militzer, B.; Collins, L. A.
- Physical Review B, Vol. 94, Issue 9
Dissociation of Liquid Silica at High Pressures and Temperatures
journal, July 2006
- Hicks, D. G.; Boehly, T. R.; Eggert, J. H.
- Physical Review Letters, Vol. 97, Issue 2
Path-integral calculations of normal liquid
journal, July 1992
- Ceperley, D. M.
- Physical Review Letters, Vol. 69, Issue 2
Melting Curve of MgO from First-Principles Simulations
journal, June 2005
- Alfè, Dario
- Physical Review Letters, Vol. 94, Issue 23
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
First-principles equation of state calculations of warm dense nitrogen
journal, February 2016
- Driver, K. P.; Militzer, B.
- Physical Review B, Vol. 93, Issue 6
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
Comparison of Jupiter Interior Models Derived from First-Principles Simulations
text, January 2008
- Militzer, B.; Hubbard, W. B.
- arXiv
Shock Response and Phase Transitions of MgO at Planetary Impact Conditions
text, January 2015
- Root, Seth; Shulenburger, Luke; Lemke, Raymond W.
- arXiv
Development of Path Integral Monte Carlo Simulations with Localized Nodal Surfaces for Second-Row Elements
text, January 2015
- Militzer, Burkhard; Driver, Kevin P.
- arXiv
The importance of finite-temperature exchange-correlation for warm dense matter calculations
text, January 2016
- Karasiev, Valentin V.; Calderín, Lázaro; Trickey, S. B.
- arXiv
First-Principles Equation of State and Electronic Properties of Warm Dense Oxygen
text, January 2016
- Driver, K. P.; Soubiran, F.; Zhang, Shuai
- arXiv
First-Principles Simulations of Warm Dense Lithium Fluoride
text, January 2017
- Driver, K. P.; Militzer, B.
- arXiv
First-principles Equation of State and Shock Compression Predictions of Warm Dense Hydrocarbons
text, January 2017
- Zhang, Shuai; Driver, Kevin P.; Soubiran, François
- arXiv
Phase transitions in MgSiO3 post-perovskite in super-Earth mantles
text, January 2017
- Umemoto, Koichiro; Wentzcovitch, Renata M.; Wu, Shunqing
- arXiv
A new equation of state for dense hydrogen-helium mixtures
text, January 2019
- Chabrier, G.; Mazevet, S.; Soubiran, F.
- arXiv
Calculation of a Deuterium Double Shock Hugoniot from Ab initio Simulations
text, January 2001
- Militzer, B.; Ceperley, D. M.; Kress, J. D.
- arXiv
First Principles Calculations of Shock Compressed Fluid Helium
text, January 2006
- Militzer, B.
- arXiv
Works referencing / citing this record:
Path integral Monte Carlo and density functional molecular dynamics simulations of warm dense
journal, January 2020
- González-Cataldo, Felipe; Soubiran, François; Peterson, Henry
- Physical Review B, Vol. 101, Issue 2