The energy gap in hydrogenated amorphous germanium tin alloys is studi
ed as a function of hydrogen and tin concentration. The theory used fo
r the calculations is based on the nested coherent potential approxima
tion (NCPA), using a tight binding hamiltonian in the Bethe lattice. T
he results are discussed in terms of experimental data from optical ab
sorption, Mossbauer, dark conductivity and infrared measurements.