Scanning tunneling spectroscopy is used to investigate single InAs nanocrys
tals, 20-70 Angstrom in diameter, in a highly asymmetric double barrier tun
nel junction configuration. The I-V characteristics reflect contributions o
f both single-electron charging and the atomiclike level structure of the q
uantum dots. The spectra are simulated and well described within the framew
ork of the "orthodox model" for single-electron tunneling. The peaks in the
tunneling spectra display a systematic broadening with the reduction of do
t diameter, from 40 to 150 meV over the studied quantum dot size range. Thi
s is assigned to a decreased electron dwell time on the dot, due to reducti
on of the barrier height, induced by the blueshift of the quantum-confined
levels. The distribution of peak spacings within charging multiplets in the
tunneling spectra is found to be Gaussian, resembling observations on meta
llic quantum dots.