Hg0.80Cd0.20Te liquid phase epitaxial layers were grown at 502 °C on CdTe substrates. The cooling rate was varied from 0.15 to 1.32 °C/min, and the terrace surface morphologies were evaluated for all the liquid phase epitaxial (LPE) layers. The width of terraces was inversely proportional to the cooling rate. This result is explained by the increase in constitutional supercooling with increasing cooling rate. Composition of the LPE layer was uniform up to the surface except at the interface region. The composition profile did not depend on the cooling rate.