CALCULATION OF ELECTRONIC-ENERGY LEVELS IN ARTIFICIALLY CONFINED CAVITIES OF A SPHERE AND A CIRCULAR-CYLINDER

Based on the results of experiments of the nanostructured materials, t he electronic structures of the spherical and circular cylindrical wel l in nanometer scale are calculated using a constant potential by dire ct solution of the Schrodinger equation. According to the result of th e bound states existing only under certain conditions, the calculated results show that the energy level structures of these modes are quite distinct from that of the hydrogen atom. The number of energy levels is finite and it depends strongly on the potential parameter. The orde r of energy levels is E-1s<E-2p<E-3d <E-2s<E-3p<E-4d<... in the case o f the artificially confined cavity of the sphere. It was exactly consi stent with an investigation reported by T. Inoshita et al. [Phys. Rev. Lett. 57, 2560 (1986)]. The calculated results of the circular cylind rical wells have similar properties on the level structure compared wi th that of a square spherical artificial atom well. (C) 1997 American Vacuum Society.