A theoretical procedure based on the model dielectric function is used to fit the room temperature reflectivity spectra of Zn x Cd 1−x Te alloys in the range 1.5-4.5 eV. This procedure allows calculation of the thickness of very thin films as well as determination of the composition dependence of the critical points. A parabolic dependence on Zn molar fraction is reported. Calculated optical data, such as refractive index and extinction coefficient, are also presented.