  We present two new primary mechanisms for the synthesis of the rare nucleus
9Be, both triggered by nu-induced production of 3H followed by 4He(3H,gamma)7Li
in the He shells of core-collapse supernovae. For progenitors of ~8M_sun,
7Li(3H,n_0)9Be occurs during the rapid expansion of the shocked He shell.
Alternatively, for ultra-metal-poor progenitors of ~11-15M_sun,
7Li(n,gamma)8Li(n,gamma)9Li(e^-anti-nu_e)9Be occurs with neutrons produced by
4He(anti-nu_e,e^+n)3H, assuming a hard effective anti-nu_e spectrum from
oscillations (which also leads to heavy element production through rapid
neutron capture) and a weak explosion (so the 9Be survives shock passage). We
discuss the associated production of 7Li and 11B, noting patterns in LiBeB
production that might distinguish the new mechanisms from others.
