ABSTRACT
The fundamental optical excitations in a semiconducting quantum dots (QD) depend on electrons, holes, and excitons in a three dimensional potential. B. O. Dabbousi et al. have calculated the amplitude of the radial part of the wave function for both the electron and the hole outside the QD under various conditions. One of the fascinations about nanoparticles or nanocrystals built from a few to several thousand atoms is the fact that they are from a quantum mechanical point of view a class of materials between atoms and solids showing properties of both of them. Metal nanoparticles are another class of quantum objects which show size-dependent optical properties. Metal nanoparticles have been used through the centuries as dispersed metal colloids to create brilliant colors. There are several comprehensive descriptions of their optical properties. The optical properties are determined by the electrons in the conduction band upon excitation to energetically higher bands.
