Confined acoustic phonons in InAs nanocrystals are observed in the time dom
ain by femtosecond pump-probe spectroscopy. The size dependence of both fre
quency and damping time is investigated for InAs. The frequency of the disc
rete modes varies between 18 and 30 cm(-1) for a nanocrystal radius ranging
from 28 to 12 Angstrom, and the dependence deviates from the expected 1/R
behavior at small sizes. The damping rate is found to vary linearly with II
R, suggesting coupling to the matrix through the particle surface as a main
damping route. This is corroborated by observing faster damping for the ac
oustic mode in solution compared to a polymer environment. The coupling str
ength is found to depend on material parameters: in CdSe nanocrystals, weak
er coupling is observed. The role of acoustic phonon coupling in the dephas
ing dynamics of semiconductor nanocrystals is discussed.