Band structures of Si-C and Si-C-Ge alloys are calculated by using the
sb initio LMTO (linear muffin-tin orbital) method within the framewor
k of atomic-sphere approximation. The effects of different atomic conf
iguration and lattice relaxation on the band structure of alloys are t
aken into account. The results show that for large concentrations of C
in Si and Si-Ge, the band gap increases monotonically, while for smal
l concentrations of C in Si and Si-Ge, the band gap shrinks. The latti
ce relaxation further reduces the band gap. The possible explanations
for the reduction of band gap of Si-C and Si-C-Ge alloys are presented
.