Abstract:This work reports on a theoretical investigation of a double Cd 1-x Zn x S quantum dot embedded in an insulating material.The quantum dots are assumed to have a flattened cylindrical geometry with a finite barrier at the boundary.The energy levels splitting has been computed, using the tight binding approximation, in the case of the heavy and light holes, as a function of zinc composition for different inter-quantum dot separations. An analysis of the results shows that, for the light holes, the coupling is maximum when x=0.8. Moreover, it has been demonstrated the strong localization character of the heavy holes in this nanostructure.