The optical absorption spectra of Si-n H-m nanoclusters up to similar to 25
0 atoms are computed using a linear response theory within the rime-depende
nt local density approximation (TDLDA). The TDLDA formalism allows the elec
tronic screening and correlation effects, which determine exciton binding e
nergies, to be naturally incorporated within an ab initio framework. We fin
d the calculated excitation energies and optical absorption gaps to be in g
ood agreement with experiment in the limit of both small and large clusters
. The TDLDA absorption spectra exhibit substantial blueshifts with respect
to the spectra obtained within the time-independent local density approxima
tion.