skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: High-precision shock equation of state measurements for metallic fluid carbon between 15 and 20 Mbar

Abstract

Diamond is an efficient ablator material to convert the energy of high-power giant lasers into ablation pressure with applications for High-Energy-Density (HED) science, planetary science, and Inertial Confinement Fusion (ICF) research at the National Ignition Facility (NIF). Unfortunately, current theoretical equation of state models cannot reproduce all the observed experimental data in the multi-megabar regime particularly relevant for HED and ICF research. New experimental data on the behavior of carbon at extreme pressures and temperatures are, therefore, essential to improve our predictive capability to design and analyze dynamic compression experiments for HED or ICF research and build improved equation of state models in the future. In this paper, we report high-precision laser-driven shock compression measurements on diamond single crystals at the Omega Laser Facility. Using ultrafast Doppler optical Velocimetry Interferometer System for Any Reflector (VISAR) to track the leading shock front and a quartz plate as an in situ reference, we obtain relative pressure-density shock equation-of-state measurements between 15 and 20 Mbar with an impedance-matching procedure. We also report shock-and-release measurements in a spherical geometry at the NIF. The new data provide tight constraints on the compressibility of warm dense carbon along the Hugoniot of full density diamond, allowing usmore » to discriminate between existing theoretical equation-of-state models. We find that both LLNL LEOS 9061 and LANL Sesame 7835 models capture well the shock compressibility in the explored range. LANL Sesame 7835 also reproduces well the observed shock-and-release behavior of diamond near 10–20 Mbar.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1682524
Alternate Identifier(s):
OSTI ID: 1682366
Report Number(s):
LLNL-JRNL-801541
Journal ID: ISSN 1070-664X; 1005374
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 27; Journal Issue: 10; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Lasers; Planetology; Shock compression; Velocimetry; Equations of state; Shock waves; Hugoniot curve

Citation Formats

Millot, Marius, Sterne, Philip A., Eggert, Jon H., Hamel, Sebastien, Marshall, Michelle C., and Celliers, Peter M.. High-precision shock equation of state measurements for metallic fluid carbon between 15 and 20 Mbar. United States: N. p., 2020. Web. https://doi.org/10.1063/5.0007304.
Millot, Marius, Sterne, Philip A., Eggert, Jon H., Hamel, Sebastien, Marshall, Michelle C., & Celliers, Peter M.. High-precision shock equation of state measurements for metallic fluid carbon between 15 and 20 Mbar. United States. https://doi.org/10.1063/5.0007304
Millot, Marius, Sterne, Philip A., Eggert, Jon H., Hamel, Sebastien, Marshall, Michelle C., and Celliers, Peter M.. Thu . "High-precision shock equation of state measurements for metallic fluid carbon between 15 and 20 Mbar". United States. https://doi.org/10.1063/5.0007304. https://www.osti.gov/servlets/purl/1682524.
@article{osti_1682524,
title = {High-precision shock equation of state measurements for metallic fluid carbon between 15 and 20 Mbar},
author = {Millot, Marius and Sterne, Philip A. and Eggert, Jon H. and Hamel, Sebastien and Marshall, Michelle C. and Celliers, Peter M.},
abstractNote = {Diamond is an efficient ablator material to convert the energy of high-power giant lasers into ablation pressure with applications for High-Energy-Density (HED) science, planetary science, and Inertial Confinement Fusion (ICF) research at the National Ignition Facility (NIF). Unfortunately, current theoretical equation of state models cannot reproduce all the observed experimental data in the multi-megabar regime particularly relevant for HED and ICF research. New experimental data on the behavior of carbon at extreme pressures and temperatures are, therefore, essential to improve our predictive capability to design and analyze dynamic compression experiments for HED or ICF research and build improved equation of state models in the future. In this paper, we report high-precision laser-driven shock compression measurements on diamond single crystals at the Omega Laser Facility. Using ultrafast Doppler optical Velocimetry Interferometer System for Any Reflector (VISAR) to track the leading shock front and a quartz plate as an in situ reference, we obtain relative pressure-density shock equation-of-state measurements between 15 and 20 Mbar with an impedance-matching procedure. We also report shock-and-release measurements in a spherical geometry at the NIF. The new data provide tight constraints on the compressibility of warm dense carbon along the Hugoniot of full density diamond, allowing us to discriminate between existing theoretical equation-of-state models. We find that both LLNL LEOS 9061 and LANL Sesame 7835 models capture well the shock compressibility in the explored range. LANL Sesame 7835 also reproduces well the observed shock-and-release behavior of diamond near 10–20 Mbar.},
doi = {10.1063/5.0007304},
journal = {Physics of Plasmas},
number = 10,
volume = 27,
place = {United States},
year = {2020},
month = {10}
}

Works referenced in this record:

Sur la résolution numérique des systèmes d’équations linéaires
journal, December 2005


Measuring the shock impedance mismatch between high-density carbon and deuterium at the National Ignition Facility
journal, April 2018


Line-imaging velocimeter for shock diagnostics at the OMEGA laser facility
journal, November 2004

  • Celliers, P. M.; Bradley, D. K.; Collins, G. W.
  • Review of Scientific Instruments, Vol. 75, Issue 11
  • DOI: 10.1063/1.1807008

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


A new global equation of state model for hot, dense matter
journal, September 1995

  • Young, David A.; Corey, Ellen M.
  • Journal of Applied Physics, Vol. 78, Issue 6
  • DOI: 10.1063/1.359955

Strength and deformation of shocked diamond single crystals: Orientation dependence
journal, March 2018


Shock Compression of Liquid Deuterium up to 1 TPa
journal, June 2019


First-principles multiphase equation of state of carbon under extreme conditions
journal, July 2008


High-density carbon ablator experiments on the National Ignition Facility
journal, May 2014

  • MacKinnon, A. J.; Meezan, N. B.; Ross, J. S.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876611

Fusion Energy Output Greater than the Kinetic Energy of an Imploding Shell at the National Ignition Facility
journal, June 2018


High-density carbon capsule experiments on the national ignition facility
journal, February 2015


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

Electronic conduction in shock-compressed water
journal, August 2004

  • Celliers, P. M.; Collins, G. W.; Hicks, D. G.
  • Physics of Plasmas, Vol. 11, Issue 8
  • DOI: 10.1063/1.1758944

Strength effects in diamond under shock compression from 0.1 to 1 TPa
journal, January 2010


Experimental evidence for superionic water ice using shock compression
journal, February 2018


Shock Compressing Diamond to a Conducting Fluid
journal, November 2004


Analysis of laser shock experiments on precompressed samples using a quartz reference and application to warm dense hydrogen and helium
journal, November 2015

  • Brygoo, Stephanie; Millot, Marius; Loubeyre, Paul
  • Journal of Applied Physics, Vol. 118, Issue 19
  • DOI: 10.1063/1.4935295

Cryogenic tritium-hydrogen-deuterium and deuterium-tritium layer implosions with high density carbon ablators in near-vacuum hohlraums
journal, June 2015

  • Meezan, N. B.; Berzak Hopkins, L. F.; Le Pape, S.
  • Physics of Plasmas, Vol. 22, Issue 6
  • DOI: 10.1063/1.4921947

Hugoniot and release measurements in diamond shocked up to 26 Mbar
journal, April 2017


High-precision measurements of the diamond Hugoniot in and above the melt region
journal, November 2008


High-Performance Indirect-Drive Cryogenic Implosions at High Adiabat on the National Ignition Facility
journal, September 2018


Nanosecond X-ray diffraction of shock-compressed superionic water ice
journal, May 2019


Developing quartz and molybdenum as impedance-matching standards in the 100-Mbar regime
journal, May 2019


Recreating Giants Impacts in the Laboratory: Shock Compression of Bridgmanite to 14 Mbar
journal, February 2020

  • Millot, Marius; Zhang, Shuai; Fratanduono, Dayne E.
  • Geophysical Research Letters, Vol. 47, Issue 4
  • DOI: 10.1029/2019GL085476

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


Toward a burning plasma state using diamond ablator inertially confined fusion (ICF) implosions on the National Ignition Facility (NIF)
journal, November 2018

  • Hopkins, L. Berzak; LePape, S.; Divol, L.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 1
  • DOI: 10.1088/1361-6587/aad97e

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


Near-vacuum hohlraums for driving fusion implosions with high density carbon ablatorsa)
journal, May 2015

  • Berzak Hopkins, L. F.; Le Pape, S.; Divol, L.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921151

Multiphase equation of state of hydrogen from ab initio calculations in the range 0.2 to 5 g/cc up to 10 eV
journal, March 2011


Absolute Hugoniot measurements from a spherically convergent shock using x-ray radiography
journal, May 2018

  • Swift, Damian C.; Kritcher, Andrea L.; Hawreliak, James A.
  • Review of Scientific Instruments, Vol. 89, Issue 5
  • DOI: 10.1063/1.5032142