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Title: Model of ramp compression of diamond from ab initio simulations

Journal Article · · Physical Review B
ORCiD logo [1];  [1];  [2];  [3];  [1]
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Univ. of California, Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States). Miller Inst. for Basic Research in Science

Ramp compression experiments characterize high-pressure states of matter at temperatures well below those present in shock compression. However, because temperature is typically not directly measured during ramp compression, it is uncertain how much heating occurs under these shock-free conditions. Here, we performed a series of ab initio simulations on carbon in order to match the density-stress measurements of Smith et al. [Smith et al., Nature (London) 511, 330 (2014)]. We considered isotropically as well as uniaxially compressed solid carbon in the diamond and BC8 phases, with and without defects, as well as liquid carbon. Our idealized model ascribes heating during ramp compression to an initially uniaxially compressed cell transforming isochorically into an isotropically (hydrostatic equivalent) compressed state having lower internal energy, hence higher temperature so as to conserve energy. Multiple such heating events can occur during a single ramp experiment, leading to higher temperatures than with isentropic compression. Comparison with experiments shows that heating alone does not explain the equation of state measurements on diamond, instead implying that a significant uniaxial stress component remains present at high compression. The temperature predictions of our ramp compression model remain to be verified with future laboratory measurements.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; University of California Laboratory Fees Research Program
Grant/Contract Number:
AC52-07NA27344; SC0016248; NA0003842; LFR-17-449059; AC02-05CH11231
OSTI ID:
1830478
Report Number(s):
LLNL-JRNL-797903; 999648; TRN: US2216495
Journal Information:
Physical Review B, Vol. 104, Issue 13; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (52)

Generalized Gradient Approximation Made Simple journal October 1996
Melting of magnesium oxide up to two terapascals using double-shock compression journal July 2021
Projector augmented-wave method journal December 1994
Ramp compression of diamond to five terapascals journal July 2014
Stable phases of iron at terapascal pressures journal October 2009
First-principles multiphase equation of state of carbon under extreme conditions journal July 2008
Polymorphism of gold under laser-based ramp compression to 690 GPa journal May 2021
Shock Wave Compression of Hardened and Annealed 2024 Aluminum journal August 1961
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Quantum accurate SNAP carbon potential for MD shock simulations
  • Willman, Jonathan T.; Williams, Ashley S.; Nguyen-Cong, Kien
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0000881
conference January 2020
High-pressure phase diagram of beryllium from ab initio free-energy calculations journal July 2021
Error estimates on averages of correlated data journal July 1989
Direct measurement of Lyapunov exponents journal December 1985
Equation of state of iron under core conditions of large rocky exoplanets journal April 2018
Strength effects in diamond under shock compression from 0.1 to 1 TPa journal January 2010
Metastability of diamond ramp-compressed to 2 terapascals journal January 2021
A POSSIBLE CARBON-RICH INTERIOR IN SUPER-EARTH 55 Cancri e journal October 2012
Stability of iron crystal structures at 0.3–1.5 TPa journal January 2015
Laser-shock compression of diamond and evidence of a negative-slope melting curve journal March 2007
Predictive simulations of metastable phases of carbon at high compression
  • Williams, Ashley; Cong, Kien Nguyen; Willman, Jonathan
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0000908
conference January 2020
The ice layer in Uranus and Neptune—diamonds in the sky? journal July 1981
Solid Iron Compressed Up to 560 GPa journal August 2013
X-ray Imaging of Stress and Strain of Diamond, Iron, and Tungsten at Megabar Pressures journal May 1997
Ramp compression of iron to 273 GPa journal July 2013
First-principles equation of state database for warm dense matter computation journal January 2021
Dissociation of CH4 at High Pressures and Temperatures: Diamond Formation in Giant Planet Interiors? journal October 1999
High-precision measurements of the diamond Hugoniot in and above the melt region journal November 2008
The role of high-pressure experiments on determining super-Earth properties journal May 2009
A Steinberg-Guinan Model for High-Pressure Carbon: Diamond Phase
  • Orlikowski, Daniel; Correa, Alfredo A.; Schwegler, Eric
  • 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/10.1063/1.2833022
conference January 2008
A unified formulation of the constant temperature molecular dynamics methods journal July 1984
Diamond’s third-order elastic constants: ab initio calculations and experimental investigation journal November 2016
Multiphase equation of state for carbon addressing high pressures and temperatures journal June 2014
Supercell design for first-principles simulations of solids and application to diamond, silica, and superionic water journal December 2016
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Interiors of the Giant Planets journal October 1981
Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations journal December 2019
Thermodynamically Stable Phases of Carbon at Multiterapascal Pressures journal January 2012
Measurement of iron characteristics under ramp compression journal October 2017
Crystal instabilities at finite strain journal December 1993
Shock formation and the ideal shape of ramp compression waves journal December 2008
Inhomogeneous Electron Gas journal November 1964
THE INTERIORS OF GIANT PLANETS: Models and Outstanding Questions journal May 2005
Probing the Solid Phase of Noble Metal Copper at Terapascal Conditions journal January 2020
Melting curve of SiO2 at multimegabar pressures: implications for gas giants and super-Earths journal May 2016
Implications of the iron oxide phase transition on the interiors of rocky exoplanets journal February 2021
Mass‐Radius Relationships for Solid Exoplanets journal November 2007
Melting of Iron at Earth's Inner Core Boundary Based on Fast X-ray Diffraction journal April 2013
Equation of state of hot, dense magnesium derived with first-principles computer simulations journal September 2020
The structure of Fe-Ni alloy in Earth's inner core: FE-NI ALLOY IN THE INNER CORE journal June 2012
Ramp compression of tantalum to 330 GPa journal August 2015
Hugoniot measurement of diamond under laser shock compression up to 2TPa journal May 2006
First principles molecular dynamics simulations of high-pressure melting of diamond
  • Nguyen-Cong, Kien; Williams, Ashley S.; Willman, Jonathan T.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0001100
conference January 2020