Tetrahedral chalcopyrite quantum dots for solar-cell applications Appl. Phys. Lett. 99, 111907 (2011) Optical routing and switching of energy flow in nanostructure systems Appl. Phys. Lett. 99, 113113 (2011) Excitations in doped quantum dot induced by accelerating impurity center J. Appl. Phys. 110, 054314 (2011) Symmetry reduction in multiband Hamiltonians for semiconductor quantum dots: The role of interfaces and higher energy bands J. Appl. Phys. 110, 053710 (2011) Compositional effects on the electronic structure of ZnSe1xSx ternary quantum dots Appl. Phys. Lett. 99, 101902 (2011) Additional information on J. Appl. Phys. We propose a simplified and computationally feasible model accounting for the dielectric confinement in arbitrarily shaped many-electron quantum dots, within the local spin density approximation. The model yields quite a good agreement with full configuration interaction calculations including exact dielectric confinement. The model is used to study the influence of the dielectric confinement on the electronic charge distribution of elongated quantum dots in the low density regime.