The band structure of Ge-Si alloy is calculated in the virtual crystal
approximation using the empirical pseudopotential method which incorp
orates compositional disorder as an effective potential. Various quant
ities including the bowing parameter of fundamental gap, the energies
of several optical gaps, and the crossover of the band gaps are calcul
ated. These results are in excellent agreement with the experimental d
ata. We have also calculated the variation of the bowing for the alloy
Si-Ge under pressure.