Size dependent exciton energy of various technologically important colloidal quantum dots

In the present work, we calculate the size dependent band gap of narrow (PbS, PbSe) and wide band gap (CdS, ZnO) colloidal quantum dots embedded in different matrices. The numerical results are obtained using the Potential Morphing method, which predict accurate eigenstates of nanostructures by utilizing the adiabatic theorem of the quantum mechanics, assuming the effective mass approximation. The theoretical predictions are in satisfactory agreement with the corresponding experimental data in most cases but not overall.