Crystalline Si1-xGex compounds offer the possibility for tuning the el
ectronic energy band structure with the chemical composition of the al
loy in order to adapt the material for devices utilizing the energy of
solar photons at an optimum. We concentrate on the efficiency enhance
ment due to carrier multiplication by impact ionization. We calculate
the internal quantum efficiency and the possible solar cell efficiency
for this material system. The number of impact-generated charge carri
ers is obtained by a simulation of the competing carrier-carrier and c
arrier-photon scattering processes. These calculations show that the w
ave vector dependence of the scattering processes is unimportant for g
ood agreement between theoretical and experimental quantum efficiencie
s in Si and Ge. Finally, we calculate solar cell efficiencies under th
e ideal assumption of unity collection efficiency and radiative recomb
ination only. Impact ionization enhances the theoretical conversion ef
ficiency by 0.5 percentage point; this improvement is curtailed by the
strong phonon emission probability of hot carriers. (C) 1998 American
Institute of Physics.