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Title: Carbon under extreme conditions: Phase boundaries and electronic properties from first-principles theory

Abstract

At high pressure and temperature, the phase diagram of elemental carbon is poorly known. We present predictions of diamond and BC8 melting lines and their phase boundary in the solid phase, as obtained from first-principles calculations. Maxima are found in both melting lines, with a triple point located at ≈ 850 GPa and ≈ 7,400 K. Our results show that hot, compressed diamond is a semiconductor that undergoes metalization upon melting. In contrast, in the stability range of BC8, an insulator to metal transition is likely to occur in the solid phase. Close to the diamond/liquid and BC8/liquid boundaries, molten carbon is a low-coordinated metal retaining some covalent character in its bonding up to extreme pressures. Lastly, our results provide constraints on the carbon equation of state, which is of critical importance for devising models of Neptune, Uranus, and white dwarf stars, as well as of extrasolar carbon-rich planets.

Authors:
 [1];  [2];  [3]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Dalhousie Univ., Halifax, NS (Canada)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of California, Davis, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1348999
Report Number(s):
UCRL-JRNL-216286
Journal ID: ISSN 0027-8424
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 103; Journal Issue: 5; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; phase transitions; melting; high pressure; molecular dynamics; metalization

Citation Formats

Correa, Alfredo A., Bonev, Stanimir A., and Galli, Giulia. Carbon under extreme conditions: Phase boundaries and electronic properties from first-principles theory. United States: N. p., 2006. Web. doi:10.1073/pnas.0510489103.
Correa, Alfredo A., Bonev, Stanimir A., & Galli, Giulia. Carbon under extreme conditions: Phase boundaries and electronic properties from first-principles theory. United States. https://doi.org/10.1073/pnas.0510489103
Correa, Alfredo A., Bonev, Stanimir A., and Galli, Giulia. Mon . "Carbon under extreme conditions: Phase boundaries and electronic properties from first-principles theory". United States. https://doi.org/10.1073/pnas.0510489103. https://www.osti.gov/servlets/purl/1348999.
@article{osti_1348999,
title = {Carbon under extreme conditions: Phase boundaries and electronic properties from first-principles theory},
author = {Correa, Alfredo A. and Bonev, Stanimir A. and Galli, Giulia},
abstractNote = {At high pressure and temperature, the phase diagram of elemental carbon is poorly known. We present predictions of diamond and BC8 melting lines and their phase boundary in the solid phase, as obtained from first-principles calculations. Maxima are found in both melting lines, with a triple point located at ≈ 850 GPa and ≈ 7,400 K. Our results show that hot, compressed diamond is a semiconductor that undergoes metalization upon melting. In contrast, in the stability range of BC8, an insulator to metal transition is likely to occur in the solid phase. Close to the diamond/liquid and BC8/liquid boundaries, molten carbon is a low-coordinated metal retaining some covalent character in its bonding up to extreme pressures. Lastly, our results provide constraints on the carbon equation of state, which is of critical importance for devising models of Neptune, Uranus, and white dwarf stars, as well as of extrasolar carbon-rich planets.},
doi = {10.1073/pnas.0510489103},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 5,
volume = 103,
place = {United States},
year = {Mon Jan 23 00:00:00 EST 2006},
month = {Mon Jan 23 00:00:00 EST 2006}
}

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Works referenced in this record:

First-principles simulations of direct coexistence of solid and liquid aluminum
journal, August 2003


Band gaps of diamond under anisotropic stress
journal, April 1992

  • Surh, Michael P.; Louie, Steven G.; Cohen, Marvin L.
  • Physical Review B, Vol. 45, Issue 15
  • DOI: 10.1103/PhysRevB.45.8239

Liquid-Liquid Phase Transformation in Carbon
journal, June 1999


Ab Initio Molecular Dynamics Study of First-Order Phase Transitions: Melting of Silicon
journal, March 1995


Melting of Lithium Hydride under Pressure
journal, October 2003


The pressure-temperature phase and transformation diagram for carbon; updated through 1994
journal, January 1996


Hexagonal Diamond—A New Form of Carbon
journal, May 1967

  • Bundy, F. P.; Kasper, J. S.
  • The Journal of Chemical Physics, Vol. 46, Issue 9
  • DOI: 10.1063/1.1841236

Carbon: The nature of the liquid state
journal, August 1989


Melting behaviors of carbon underhigh pressures
journal, April 1990


Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films
journal, November 1990


The ice layer in Uranus and Neptune—diamonds in the sky?
journal, July 1981


A quantum fluid of metallic hydrogen suggested by first-principles calculations
journal, October 2004

  • Bonev, Stanimir A.; Schwegler, Eric; Ogitsu, Tadashi
  • Nature, Vol. 431, Issue 7009
  • DOI: 10.1038/nature02968

High-pressure thermal expansion, bulk modulus, and phonon structure of diamond
journal, October 1999


Thermodynamic properties and phase diagram of the graphite-diamond-liquid carbon system
journal, August 1992


Stability and electronic properties of complex structures of silicon and carbon under pressure: Density-functional calculations
journal, June 1987


Efficient pseudopotentials for plane-wave calculations
journal, January 1991


Interiors of the Giant Planets
journal, October 1981


Explicit Gibbs free energy equation of state applied to the carbon phase diagram
journal, April 2000


Melting of Diamond at High Pressure
journal, December 1990


Cooling theory of crystallized white dwarfs
journal, October 1994

  • Segretain, L.; Chabrier, G.; Hernanz, M.
  • The Astrophysical Journal, Vol. 434
  • DOI: 10.1086/174766

Interiors of Giant Planets Inside and Outside the Solar System
journal, October 1999


Bond-orientational order in liquids and glasses
journal, July 1983

  • Steinhardt, Paul J.; Nelson, David R.; Ronchetti, Marco
  • Physical Review B, Vol. 28, Issue 2
  • DOI: 10.1103/PhysRevB.28.784

Properties of diamond under hydrostatic pressures up to 140 GPa
journal, February 2003

  • Occelli, Florent; Loubeyre, Paul; LeToullec, René
  • Nature Materials, Vol. 2, Issue 3
  • DOI: 10.1038/nmat831

Interiors of the Giant Planets
journal, May 1982


Testing White Dwarf Crystallization Theory with Asteroseismology of the Massive Pulsating DA Star BPM 37093
journal, March 2004

  • Metcalfe, T. S.; Montgomery, M. H.; Kanaan, A.
  • The Astrophysical Journal, Vol. 605, Issue 2
  • DOI: 10.1086/420884

Wannier-function description of the electronic polarization and infrared absorption of high-pressure hydrogen
journal, December 2000


Theoretical study of high-density phases of covalent semiconductors. I. Ab initio treatment
journal, February 1994


THE INTERIORS OF GIANT PLANETS: Models and Outstanding Questions
journal, May 2005


Phase diagram of carbon at high pressures and temperatures
journal, December 1996


Shock Compressing Diamond to a Conducting Fluid
journal, November 2004


The Earliest use of Corundum and Diamond, in Prehistoric China*
journal, February 2005


Liquid-Liquid Phase Transition in Elemental Carbon: A First-Principles Investigation
journal, September 2002


Stability and crystal structure of BC8 germanium
journal, October 1993


Modeling the Phase Diagram of Carbon
journal, April 2005


Intrinsic and Extrinsic Recombination Radiation from Natural and Synthetic Aluminum-Doped Diamond
journal, October 1965


Theoretical stability limit of diamond at ultrahigh pressure
journal, December 1995


Man-Made Diamonds
journal, July 1955

  • Bundy, F. P.; Hall, H. T.; Strong, H. M.
  • Nature, Vol. 176, Issue 4471
  • DOI: 10.1038/176051a0

Melting of carbon at 50 to 300 kbar
journal, December 1987

  • Weathers, Maura S.; Bassett, William A.
  • Physics and Chemistry of Minerals, Vol. 15, Issue 2
  • DOI: 10.1007/BF00308772

Vibrational and thermodynamic properties of MgSiO 3 postperovskite : THERMODYNAMIC PROPERTIES OF POSTPEROVSKITE
journal, February 2005

  • Tsuchiya, Jun; Tsuchiya, Taku; Wentzcovitch, Renata M.
  • Journal of Geophysical Research: Solid Earth, Vol. 110, Issue B2
  • DOI: 10.1029/2004JB003409

Works referencing / citing this record:

Pseudo-topotactic conversion of carbon nanotubes to T-carbon nanowires under picosecond laser irradiation in methanol
journal, September 2017


Progress in the Theory of Dense Strongly Coupled Plasmas
journal, November 2010


Ab initio dielectric response function of diamond and other relevant high pressure phases of carbon
journal, November 2019

  • Ramakrishna, Kushal; Vorberger, Jan
  • Journal of Physics: Condensed Matter, Vol. 32, Issue 9
  • DOI: 10.1088/1361-648x/ab558e

Electronic and structural transitions in dense liquid sodium
journal, September 2007

  • Raty, Jean-Yves; Schwegler, Eric; Bonev, Stanimir A.
  • Nature, Vol. 449, Issue 7161
  • DOI: 10.1038/nature06123

The Chemical Imagination at Work in Very Tight Places
journal, July 2007


Tetrahedral Clustering in Molten Lithium under Pressure
journal, August 2008


Generation of various carbon nanostructures in water using IR/UV laser ablation
journal, March 2013


Properties of B 4 C in the shocked state for pressures up to 1.5 TPa
journal, May 2017


State-of-the-art models for the phase diagram of carbon and diamond nucleation
journal, August 2008


The Chemical Imagination at Work inVery Tight Places
journal, May 2007

  • Grochala, Wojciech; Hoffmann, Roald; Feng, Ji
  • Angewandte Chemie International Edition, Vol. 46, Issue 20
  • DOI: 10.1002/anie.200602485

A metallic carbon consisting of helical carbon triangle chains
journal, May 2014


Thermodynamically Stable Phases of Carbon at Multiterapascal Pressures
journal, January 2012


Ultrafast Melting of Carbon Induced by Intense Proton Beams
journal, December 2010


Mechanochemical formation of heterogeneous diamond structures during rapid uniaxial compression in graphite
journal, May 2018


Short-wavelength free-electron laser sources and science: a review
text, January 2017

  • Seddon, E. A.; Clarke, J. A.; Dunning, D. J.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2018-00596

Ultrafast transformation of graphite to diamond: An ab initio study of graphite under shock compression
text, January 2008

  • Mundy, Christopher J.; Curioni, Alessandro; Goldman, Nir
  • American Institute of Physics
  • DOI: 10.5167/uzh-138223

Electronic and Structural Transitions in Dense Liquid Sodium.
journal, December 2007

  • Raty, Jean-Yves; Schwegler, Eric; Bonev, Stanimir A.
  • ChemInform, Vol. 38, Issue 50
  • DOI: 10.1002/chin.200750017

Evidence for a glassy state in strongly driven carbon
journal, June 2014

  • Brown, C. R. D.; Gericke, D. O.; Cammarata, M.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep05214

Diamond spheres for inertial confinement fusion
journal, September 2009


Shock-Wave Exploration of the High-Pressure Phases of Carbon
journal, December 2008


A low-surface energy carbon allotrope: the case for bcc-C 6
journal, January 2015

  • Yin, Wen-Jin; Chen, Yuan-Ping; Xie, Yue-E.
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 21
  • DOI: 10.1039/c5cp00803d

Powder diffraction from solids in the terapascal regime
journal, November 2012

  • Rygg, J. R.; Eggert, J. H.; Lazicki, A. E.
  • Review of Scientific Instruments, Vol. 83, Issue 11
  • DOI: 10.1063/1.4766464

Physical and chemical transformations of highly compressed carbon dioxide at bond energies
journal, January 2013

  • Yoo, Choong-Shik
  • Physical Chemistry Chemical Physics, Vol. 15, Issue 21
  • DOI: 10.1039/c3cp50761k

Laser-shock compression of diamond and evidence of a negative-slope melting curve
journal, March 2007

  • Brygoo, Stéphanie; Henry, Emeric; Loubeyre, Paul
  • Nature Materials, Vol. 6, Issue 4
  • DOI: 10.1038/nmat1863

Conjugate acene fused buckybowls: evaluating their suitability for p-type, ambipolar and n-type air stable organic semiconductors
journal, January 2013

  • Purushotham, Uppula; Sastry, G. Narahari
  • Physical Chemistry Chemical Physics, Vol. 15, Issue 14
  • DOI: 10.1039/c3cp44673e

Melting temperature of diamond and cubic boron nitride at 15 gigapascals
journal, November 2019


Ultrafast transformation of graphite to diamond: An ab initio study of graphite under shock compression
journal, May 2008

  • Mundy, Christopher J.; Curioni, Alessandro; Goldman, Nir
  • The Journal of Chemical Physics, Vol. 128, Issue 18
  • DOI: 10.1063/1.2913201

Denser than diamond: Ab initio search for superdense carbon allotropes
journal, May 2011


Giant lattice expansion by quantum stress and universal atomic forces in semiconductors under instant ultrafast laser excitation
journal, January 2017

  • Chen, Nian-Ke; Han, Dong; Li, Xian-Bin
  • Physical Chemistry Chemical Physics, Vol. 19, Issue 36
  • DOI: 10.1039/c7cp03103c

Melting temperature of diamond at ultrahigh pressure
journal, November 2009

  • Eggert, J. H.; Hicks, D. G.; Celliers, P. M.
  • Nature Physics, Vol. 6, Issue 1
  • DOI: 10.1038/nphys1438

From microjoules to megajoules and kilobars to gigabars: Probing matter at extreme states of deformation
journal, September 2015

  • Remington, Bruce A.; Rudd, Robert E.; Wark, Justin S.
  • Physics of Plasmas, Vol. 22, Issue 9
  • DOI: 10.1063/1.4930134

Short-wavelength free-electron laser sources and science: a review
journal, October 2017

  • Seddon, E. A.; Clarke, J. A.; Dunning, D. J.
  • Reports on Progress in Physics, Vol. 80, Issue 11
  • DOI: 10.1088/1361-6633/aa7cca

State-of-the-art models for the phase diagram of carbon and diamond nucleation
text, January 2008


Pseudo-topotactic conversion of carbon nanotubes to T-carbon nanowires under picosecond laser irradiation in methanol
journal, September 2017