Starting from band structures of the constituent materials, the electr
onic band structure of the semiconducting alloys GexSn1-x and SixSn1-x
are calculated by the empirical pseudopotential method using a correc
ted virtual crystal approximation (VCA) which incorporates composition
al disorder as an effective potential. Various quantities, including t
he bowing parameter of the fundamental band gap, the energies of sever
al optical gaps, and the crossover of the band gaps are predicted.