This work reports on a theoretical investigation of superlattices based on Cd1-xZnxS quantum dots embedded in an insulating material. These structures, assumed to a series of flattened cylindrical quantum dots with a finite barrier at the boundary, are studied using the Kronig – Penney method when the well width depends on the superlattice period. The fundamental miniband has been computed, for electrons, as a function of zinc composition for different inter-quantum dot separations. As is found, the fundamental miniband width decreases with the zinc composition and the superlattice period separately. Moreover, this study is of a great interest for designing novel nano devices, particularly, the nonvolatile memories.