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 »
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (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; TRN: US2204058
- 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. doi: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 = {Thu Oct 22 00:00:00 EDT 2020},
month = {Thu Oct 22 00:00:00 EDT 2020}
}
Works referenced in this record:
Sur la résolution numérique des systèmes d’équations linéaires
journal, December 2005
- Cholesky, André-Louis
- Bulletin de la Sabix, Issue 39
Measuring the shock impedance mismatch between high-density carbon and deuterium at the National Ignition Facility
journal, April 2018
- Millot, M.; Celliers, P. M.; Sterne, P. A.
- Physical Review B, Vol. 97, Issue 14
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
Shock-Wave Exploration of the High-Pressure Phases of Carbon
journal, December 2008
- Knudson, M. D.; Desjarlais, M. P.; Dolan, D. H.
- Science, Vol. 322, Issue 5909
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
Strength and deformation of shocked diamond single crystals: Orientation dependence
journal, March 2018
- Lang, J. M.; Winey, J. M.; Gupta, Y. M.
- Physical Review B, Vol. 97, Issue 10
Shock Compression of Liquid Deuterium up to 1 TPa
journal, June 2019
- Fernandez-Pañella, A.; Millot, M.; Fratanduono, D. E.
- Physical Review Letters, Vol. 122, Issue 25
First-principles multiphase equation of state of carbon under extreme conditions
journal, July 2008
- Correa, Alfredo A.; Benedict, Lorin X.; Young, David A.
- Physical Review B, Vol. 78, Issue 2
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
Fusion Energy Output Greater than the Kinetic Energy of an Imploding Shell at the National Ignition Facility
journal, June 2018
- Le Pape, S.; Berzak Hopkins, L. F.; Divol, L.
- Physical Review Letters, Vol. 120, Issue 24
High-density carbon capsule experiments on the national ignition facility
journal, February 2015
- Ross, J. S.; Ho, D.; Milovich, J.
- Physical Review E, Vol. 91, Issue 2
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
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
Strength effects in diamond under shock compression from 0.1 to 1 TPa
journal, January 2010
- McWilliams, R. S.; Eggert, J. H.; Hicks, D. G.
- Physical Review B, Vol. 81, Issue 1
Experimental evidence for superionic water ice using shock compression
journal, February 2018
- Millot, Marius; Hamel, Sebastien; Rygg, J. Ryan
- Nature Physics, Vol. 14, Issue 3
Shock Compressing Diamond to a Conducting Fluid
journal, November 2004
- Bradley, D. K.; Eggert, J. H.; Hicks, D. G.
- Physical Review Letters, Vol. 93, Issue 19
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
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
Hugoniot and release measurements in diamond shocked up to 26 Mbar
journal, April 2017
- Gregor, M. C.; Fratanduono, D. E.; McCoy, C. A.
- Physical Review B, Vol. 95, Issue 14
High-precision measurements of the diamond Hugoniot in and above the melt region
journal, November 2008
- Hicks, D. G.; Boehly, T. R.; Celliers, P. M.
- Physical Review B, Vol. 78, Issue 17
High-Performance Indirect-Drive Cryogenic Implosions at High Adiabat on the National Ignition Facility
journal, September 2018
- Baker, K. L.; Thomas, C. A.; Casey, D. T.
- Physical Review Letters, Vol. 121, Issue 13
Nanosecond X-ray diffraction of shock-compressed superionic water ice
journal, May 2019
- Millot, Marius; Coppari, Federica; Rygg, J. Ryan
- Nature, Vol. 569, Issue 7755
Adiabatic release measurements in -quartz between 300 and 1200 GPa: Characterization of -quartz as a shock standard in the multimegabar regime
journal, November 2013
- Knudson, M. D.; Desjarlais, M. P.
- Physical Review B, Vol. 88, 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
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
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
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
- Caillabet, L.; Mazevet, S.; Loubeyre, P.
- Physical Review B, Vol. 83, Issue 9
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