Basic questions concerning phononless resonant capture of monoenergetic electron antineutrinos (Mossbauer antineutrinos) emitted in bound-state beta-decay in the 3H - 3He system are discussed. It is shown that lattice expansion and contraction after the transformation of the nucleus will drastically reduce the probability of phononless transitions and that various solid-state effects will cause large line broadening. As a possible alternative, the rare-earth system 163Ho - 163Dy is favoured. Mossbauer-antineutrino experiments could be used to gain new and deep insights into several basic problems in neutrino physics.
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