It has been shown that the “minimum” achievable spherical critical masses for the three main fissile isotopes of 235U, 239Pu, and 233U at normal temperature and density with BeH2 as moderator and with a thick 9Be reflector is lower than for any other system reported so far. In this context the feasibility of decreasing the critical masses further by exploiting the Bragg cutoff phenomenon in cooled beryllium reflectors was investigated. The reactivity gain obtainable in cooling part (or whole) of the beryllium reflector of a BeH2-moderated homogeneous 233U system to liquid nitrogen temperature (78 K) is explored. Transport theory calculations show that a 50-cm two-zone beryllium reflector with a cooled inner zone of optimum thickness (∼15 cm) at 78 K has an improved albedo and results in a further reduction of 6 to 8% in the critical mass.