QD to NH; Mathematical Modelling of Nano-structure Formations

Mathematical formulation is given to the formations of the nano-structures created by DE (Droplet Epitaxy) for quantum – circuit application. Many of the known (and yet unknown) formations are derived from the two basic elements of nano-structures, namely the QD (Quantum Dot) and the NH (Nano Hole). Combined formations of the two shapes model the formations of the ones already used for circuit applications and predicts new nano-shapes for possible future usage such as meta materials. Their parameters are close related to the experimental conditions used at productions stage.