Phase equilibria in the Tl-Ca-Ba-Cu-O system have been studied at samp
le temperatures that are near, but below, the onset of melting. Indepe
ndent control of the partial pressures of oxygen P(O-2) and thallous o
xide P(Tl2O) was achieved through the use of a two-zone furnace. Stabl
e ranges of P(Tl2O), P(O-2), and sample composition for individual Tl
superconductors, including 2122, 2223, 1122, and 1223 (the latter inte
rgrown with about 10% 2223) have been determined. A qualitative unders
tanding of these stable ranges, based on the relative Tl content and f
ormal oxidation state of the cations within a structure type, has been
developed. From this information, equilibrium phase diagrams for Tl s
uperconductors with Ca:Ba:Cu ratios of 1:2:2, 2:2:3, and 3:2:4 are pro
posed. These diagrams provide process information for the two-zone syn
thesis of bulk materials and thin and thick films. The superconducting
transition temperatures of the individual phases produced by near-equ
ilibrium processing are both reproducible and relatively insensitive t
o changes in the process conditions.