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Understanding and designing inertial confinement fusion (ICF) implosionsthrough radiation-hydrodynamics simulations rely on the accurate knowledge ofthe equation of state (EOS) of the deuterium and tritium fuels. To minimize thedrive energy for ignition, the imploding shell of DT fuel must be kept as coldas possible. Such low-adiabat ICF implosions can access to coupled anddegenerate plasma conditions, in which the analytical or chemical EOS modelsbecome inaccurate. Using the path-integral Monte Carlo (PIMC) simulations wehave derived a first-principles EOS (FPEOS) table of deuterium that coverstypical ICF fuel conditions at densities ranging from 0.002 to 1596 g/cm3 andtemperatures of 1.35 eV to 5.5 keV. We report the internal energy and thepressure, and discuss the structure of the plasma in terms of pair-correlationfunctions. When compared with the widely used SESAME table and the revisedKerley03 table, discrepancies in the internal energy and in the pressure areidentified for moderately coupled and degenerate plasma conditions. In contrastto the SESAME table, the revised Kerley03 table is in better agreement with ourFPEOS results over a wide range of densities and temperatures. Although subtledifferences still exist for lower temperatures (T < 10 eV) and moderatedensities (1 to 10 g/cc), hydrodynamics simulations of cryogenic ICF implosionsusing the FPEOS table and the Kerley03 table have resulted in similar resultsfor the peak density, areal density ({\rho}R), and neutron yield, which aresignificantly different from the SESAME simulations.

FPEOS: A First-Principles Equation of State Table of Deuterium for Inertial Confinement Fusion Applications