The electronic structures of various Si clusters of different sizes (w
ith hydrogenated surfaces) are evaluated using a nearest-neighbor empi
rical tight-binding Hamiltonian which describes well the band structur
e and fundamental band gap of crystalline silicon. The largest cluster
contains 3109 Si atoms and 852 H atoms, has a diameter of 49 angstrom
, and has both a normalized Si density of states and a band gap very c
lose to those of crystalline Si.