CALCULATION OF ENERGY LEVELS IN QUANTUM‑DOT MATERIALS AND THEIR OPTICAL PROPERTIES.
Keywords:
xAbstract
This article investigates the calculation of discrete energy levels in semiconductor quantum-dot (QD) structures and analyzes their effects on absorption, photoluminescence (PL), and radiative recombination processes. By applying the effective-mass approximation and solving the Schrödinger equation for spherical and cylindrical QDs, the dependencies of confinement energies on dot radius, composition, and potential profile are derived. Using density-of-states (DOS) and transition matrix elements modeled optical properties. The simulation results demonstrate that the quantum-confinement energy increases sharply when the QD radius falls below the exciton Bohr radius, leading to blue-shifts in emission spectra. These findings align with recent experimental studies on III–V and II–VI semiconductor nanostructures [1–4].
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