The superconductors, HgBa2CanCun+1O4+2n+delta, with n = 1,2 and 3 were
prepared and annealed under a variety of conditions including high-pr
essure oxygen. Superconducting transition temperatures T(c) are determ
ined as a function of oxygen annealing pressure. These results show th
at the n = 1 and 2 materials will overdope when annealed at pressures
in excess of 1 bar while n = 3 requires tens of bars.