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

Title: Equation of state of CH1.36: First-principles molecular dynamics simulations and shock-and-release wave speed measurements

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics

In this paper, we report the computation and measurement of the equation of state of a plastic with composition CH1.36. The computational scheme employed is density functional theory based molecular dynamics, at the conditions: 1.8 g/cm3 < ρ < 10 g/cm3 , and 4000 K < T < 100 000 K. Experimental measurements are of the shock speeds in a geometry in which the plastic is directly abutting a different material, liquid deuterium, from which release wave behavior in the plastic can be deduced. After fitting our computed pressure and internal energy with a Mie-Grüneisen free energy model, we predict the principal shock Hugoniot and various shock-and-release paths and show that they agree with both recently published laser-shock data and our new data regarding the shock speeds on release. We also establish that, at least in the particular (ρ,T) range considered, the equation of state of this complex two-component material is well described by an equal pressure and temperature mixture of pure C and H equations of state with a composition-weighted additive-volume assumption. This observation, together with our fit to the limited-range simulation data, can form the basis for the construction of an accurate wide-range equation of state model for this plastic. Implications for its use as an ablator in inertial confinement fusion capsules are discussed.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1798016
Report Number(s):
LLNL-JRNL-555819; 615692; TRN: US2210644
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 86, Issue 9; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (47)

Generalized Gradient Approximation Made Simple journal October 1996
Line-imaging velocimeter for shock diagnostics at the OMEGA laser facility journal November 2004
Projector augmented-wave method journal December 1994
Probing the Interiors of the Ice Giants: Shock Compression of Water to 700 GPa and 3.8 g / cm 3 journal February 2012
Impacts onto H2O ice: Scaling laws for melting, vaporization, excavation, and final crater size journal August 2011
High-precision measurements of the equation of state of hydrocarbons at 1–10 Mbar using laser-driven shock waves journal May 2010
Laser interferometer for measuring high velocities of any reflecting surface journal November 1972
First-principles multiphase equation of state of carbon under extreme conditions journal July 2008
Shock compressibility of condensed materials in strong shock waves generated by underground nuclear explosions [Udarnaya szhimaemost' kondensirovannykh veshchestv v moshchnykh udarnykh volnakh podzemnykh yadernykh vzryvov] journal January 1994
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Finite Elastic Strain of Cubic Crystals journal June 1947
Error estimates on averages of correlated data journal July 1989
Point design targets, specifications, and requirements for the 2010 ignition campaign on the National Ignition Facility journal May 2011
Compression of Solids by Strong Shock Waves book January 1958
Plastic ablator ignition capsule design for the National Ignition Facility journal May 2010
Ab initiomolecular dynamics for liquid metals journal January 1993
Shock-Induced Transformation of Liquid Deuterium into a Metallic Fluid journal June 2000
Shock timing technique for the National Ignition Facility journal May 2001
High-precision measurements of the diamond Hugoniot in and above the melt region journal November 2008
A unified formulation of the constant temperature molecular dynamics methods journal July 1984
Comparison of Jupiter interior models derived from first-principles simulations journal December 2008
Shock timing experiments on the National Ignition Facility: Initial results and comparison with simulation journal April 2012
First-principles and classical molecular dynamics simulation of shocked polymers journal February 2010
Statistical Physics of Crystals and Liquids book January 2003
Calculations of high-pressure properties of beryllium: Construction of a multiphase equation of state journal February 2009
Water under Pressure journal March 2000
Purgatorio—a new implementation of the Inferno algorithm journal May 2006
A new quotidian equation of state (QEOS) for hot dense matter journal January 1988
Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)] journal February 1997
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
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Precision equation-of-state measurements on National Ignition Facility ablator materials from 1 to 12 Mbar using laser-driven shock waves journal May 2012
Mass-Radius Relationships for Exoplanets journal December 2011
Melting temperature of diamond at ultrahigh pressure journal November 2009
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium journal May 1994
Canonical dynamics: Equilibrium phase-space distributions journal March 1985
Thermophysical properties for shock compressed polystyrene journal August 2011
Hydrogen Properties for Fusion Energy book December 1986
Overview of the line-imaging VISAR diagnostic at the National Ignition Facility (NIF) conference January 2007
Demonstration of the shock-timing technique for ignition targets on the National Ignition Facility journal May 2009
Shock Compression of Quartz to 1.6 TPa: Redefining a Pressure Standard journal November 2009
Self-consistent field model for condensed matter journal December 1979
First-principles equation-of-state table of deuterium for inertial confinement fusion applications journal December 2011
Shock compression of quartz in the high-pressure fluid regime journal August 2005
Ab initio calculations of the equation of state of hydrogen in a regime relevant for inertial fusion applications journal March 2012

Cited By (12)

Hugoniot equation of state of Si-doped glow discharge polymer and scaling to other plastic ablators journal May 2018
Review of the National Ignition Campaign 2009-2012 journal February 2014
First-principles Equation of State and Shock Compression Predictions of Warm Dense Hydrocarbons text January 2017
Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas journal March 2018
Equations of State for Ablator Materials in Inertial Confinement Fusion Simulations journal May 2016
Absolute calibration of the OMEGA streaked optical pyrometer for temperature measurements of compressed materials journal November 2016
Impact of first-principles properties of deuterium–tritium on inertial confinement fusion target designs journal April 2015
First-principles equation of state and shock compression predictions of warm dense hydrocarbons journal July 2017
Shock compression response of forsterite above 250 GPa journal August 2016
Understanding the effects of radiative preheat and self-emission from shock heating on equation of state measurement at 100s of Mbar using spherically converging shock waves in a NIF hohlraum journal January 2020
Implosion dynamics measurements at the National Ignition Facility journal December 2012
Multiphase equation of state for carbon addressing high pressures and temperatures journal June 2014

Similar Records

Shock compression of strongly correlated oxides: A liquid-regime equation of state for cerium(IV) oxide
Journal Article · Mon Mar 05 00:00:00 EST 2018 · Physical Review B · OSTI ID:1798016

Equation of state of pyrite to 80 GPa and 2400 K
Journal Article · Mon May 02 00:00:00 EDT 2016 · American Mineralogist · OSTI ID:1798016

Improved first-principles equation-of-state table of deuterium for high-energy-density applications
Journal Article · Tue Oct 12 00:00:00 EDT 2021 · Physical Review B · OSTI ID:1798016