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The use of diffractive output coupling and potentially easy fabrication make unstable resonators suitable for extreme ultraviolet and soft x‐ray lasers. We illustrate the design of an unstable resonator cavity for a proposed electron collisionally excited Ni‐like Mo laser at 191 Å. Saturated output in a near‐diffraction limited beam is predicted in a six‐pass synchronously pumped cavity with a gain‐length product of 6.