Prolate spheroidal quantum dot: Effect of dot size and eccentricity on confined energy states

Abstract

We have explored the energy states of an electron trapped in a prolate spheroidal shape CdSe quantum dot (QD) within a finite barrier height, utilizing the Schrodinger equation in a prolate spheroidal coordinate system. The calculation of various eigen energy states have been performed as a function of the QD volume and spheroid eccentricity. Our findings demonstrate that with the increase in both the QD’s volume and the eccentricity, the confinement energy decreases. Furthermore, we discovered that for any given l value, the energy of states corresponding to higher and lower sublevels (m) decreases with an increase in eccentricity. However, the decrease in energy of sublevels with increasing eccentricity varied for different m values. Additionally, a comparison of the energy states of a confined electron in prolate spheroidal and spherical quantum dots revealed that they are located at different positions.