Type-II Quantum Dot: Radial Band Diagram & Charge Separation

This is the 2D counterpart of the 3D core/shell quantum-dot charge-separation simulator: the same effective-mass Schrodinger solve for an electron and a hole confined inside a spherical core/shell nanocrystal, but rendered as a native 2D radial band diagram and density cross-section instead of a 3D point cloud. The top strip plots the confining potential wells V_e(r) and V_h(r) together with each carrier's solved probability density u(r)², mirrored about the centre to show a diametric slice through the dot. The bottom strip shows the two densities as side-by-side radial cross-sections and a localization ruler marking each carrier's mean radius. Tune the core radius, shell thickness, and the two band offsets to watch the electron and hole densities pull apart in a type-II alignment (or collapse back together in type-I), and read the resulting overlap integral, lifetime enhancement, and mean carrier separation live.