(a) A variety of different Hohlraum designs show the same functional dependence when the Dante measured radiation temperature to the 3.3 power is plotted against a metric of the time-dependent laser energy delivered to the target per Hohlraum wall area. All the designs show an initial increase with a slope of about 400, followed by a “knee” in the curve where the slope becomes shallower with a slope of about 100. (b) Laser power vs time for the various designs. These Hohlraums range in size from 5.4 mm diameter to 6.72 mm diameter and include both high density carbon (HDC) ablator designs (with shorter laser pulse durations) and one plastic (CH) design (cyan), which uses a longer laser pulse.