We report on infrared studies of the c-axis electrodynamics of Tl-Ba-Cu-O (Tl-2201) crystals. A sum rule analysis reveals spectral weight shifts that can be interpreted as a kinetic energy change at the superconducting transistion. In optimally doped crystals, showing an incoherent normal state response, the kinetic energy is lowered at T < Tc, but no significant change is found in the over-doped samples, which have more coherent conductivity at T > Tc.
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