CONFINEMENT ENERGY OF QUANTUM DOTS AND THE BRUS EQUATION
S. T. Harry, M. A. Adekanmbi
Abstract
A review of the ground state confinement energy term in the Brus equation for the bandgap energy of a spherically shaped semiconductor quantum dot was made within the framework of effective mass approximation. The Schrodinger wave equation for a spherical nanoparticle in an infinite spherical potential well was solved in spherical polar coordinate system. Physical reasons in contrast to mathematical expediency were considered and solution obtained. The result reveals that the shift in the confinement energy is less than that predicted by the Brus equation as was adopted in most literatures.
Topics & Concepts
Quantum dotSchrödinger equationPhysicsWave functionPotential wellSemiconductorEnergy (signal processing)Band gapQuantum mechanicsCondensed matter physicsSemiconductor Quantum Structures and DevicesQuantum Dots Synthesis And PropertiesNear-Field Optical Microscopy