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We describe designs of hohlraums and capsules for both ignition (∼1–10 MJ) and high yield (up to ∼200 MJ) Z-pinch driven indirect-drive ICF concepts. Two potential Z-pinch hohlraum configurations – 1) the “static wall” or “on-axis” hohlraum; and 2) the “imploding liner” or “dynamic” hohlraum – are considered. Both concepts involve cryogenic, DT-filled capsules (∼2–4 mm in diameter) with Be or CH ablators (O, F, and Cu are currently being considered as dopants). Both types of hohlraums involve a Helium and/or CH foam fill. In the static wall hohlraum concept, the ICF capsule is isolated from the x-ray generation region. Advantages in the areas of capsule drive symmetry and diagnostic access might be gained from this arrangement. In the dynamic hohlraum, the ICF capsule has a direct view of the stagnation radiation. The potential advantage would result from the higher x-ray intensity and larger total capsule absorbed energy.