Calculations for Omega symmetry capsule implosion experiments in $\sim $0.2 NIF scale high temperature hohlraums

Symmetry capsules are planned to be used as a diagnostic of implosion symmetry at varying times during the NIF drive. A suitably designed symmetry capsule samples the drive symmetry up to the implosion ``commit'' time of the capsule, which varies for symmetry capsules of different shell thickness. Our capsules use Ge-doped plastic shells with shell thickness varying from 25 $\mu $m to 55 $\mu $m. We present calculations for Omega experiments using symmetry capsule implosions in gold hohlraums 1900 $\mu $m x 1200 $\mu $m, and 70 {\%} laser entrance hole, which is approximately a 0.2 NIF scale ignition hohlraum and reaches temperatures of 265-275 eV similar to those during the NIF drive. These capsules may be used as a diagnostic of shell $\rho $r, since the gas fill is d-He3 at 36 atm. The protons produced in the implosion escape through the shell and produce a proton spectrum, which is measured using wedge range filters. The neutron, proton yield and spectra change with capsule shell thickness as the un-ablated mass or remaining capsule $\rho $r changes. This technique to measure capsule un-ablated mass will be applied to future NIF experiments with ignition scale capsules. Support by US DOE/NNSA, LANS LLC, Contract DE-AC52-06NA253.