Current imaging scanning tunneling microscopy is used to observe the electr
onic wave functions in InAs/ZnSe core/shell nanocrystals. Images taken at a
bias corresponding to the s conduction band state show that it is localize
d in the central core region, while images at higher bias probing the p sta
te reveal that it extends to the shell. This is supported by optical and tu
nneling spectroscopy data demonstrating that the s-p gap closes upon shell
growth. Shapes of the current images resemble atomlike envelope wave functi
ons of the quantum dot calculated within a particle in a box model.