We review the synthesis methods and properties of single crystal, powd
er, and thin film T1BaCaCuO high-temperature superconducting (T1-HTS)
materials. With transition temperatures greater than or equal to 100 K
for several compounds, T1-HTS materials present real opportunities fo
r applications above 77 K. Experiments using (1) single crystals: dete
rmined precise structural parameters and identified the complex T1(1+)
-T1(3+) equilibrium model; (2) powders: studied the complex thermodyna
mic phase diagram; and (3) epitaxial films: studied fundamental proper
ties such as electron pair symmetry and the effect of controlled extri
nsic defects on flux pinning strength, as well as providing the large-
area surfaces required for device applications.