We present the results of the analysis of Cu K-edge X-ray absorption f
ine structure (XAFS) on Tl2Ba2CUO6, which show a complex Cu-O pair dis
tribution function with multiple Cu-O bondlengths in the CuO2 planes,
implying local phase separation in this material. Based on these resul
ts we propose a model of the local structure of these Tl-based superco
nductors. We present the formalism used to extract a pair distribution
function from XAFS from a model interatomic potential, associating a
dynamic time scale to fluctuations between different bond lengths. The
se copper-oxygen bondlengths are compared with those found in Bi2Sr2Ca
Cu2O8+y, La1.85Sr0.15Cu2O4, and YBa2Cu3O7.