High volume fractions of the n = 2 and n = 3 members of a cuprate syst
em of general formula Hg1-xPbxBa2Can-1CunO2n-2+delta (with an average
value of x at 0.33) have been synthesized via a relatively facile proc
ess using low oxygen pressures. For as-synthesized n = 3 (Hg,Pb-1:2:2:
3) bulk superconducting critical temperatures (T(c)) of up to 133 K ha
ve been observed. For n =2 (Hg,Pb-1:2:1:2), which is obtained with som
e rare-earth-ion substitution at the calcium site, T(c) is 125 K after
annealing in a reducing atmosphere. High-resolution lattice imaging c
oupled with structural simulations show that the Pb ions go into the H
g layer, leading to a chemical pressure-induced compositional modulati
on in this plane. Strong flux pinning and an irreversibility field of
1 T at 80 K are observed for Hg,Pb-1:2:2:3.