Abstract:
The transmittance spectra of single-crystal Cu$_2$ZnSnS$_4$ and Cu$_2$ZnSnSe$_4$ compounds and Cu$_2$ZnSn(S$_x$Se$_{1-x}$)$_4$ alloys grown by chemical vapor-transport reactions are studied in the region of the fundamental absorption edge. From the experimental spectra, the band gap of the compounds and their alloys is determined. The dependences of the band gap on the composition parameter $x$ of the alloy are constructed. It is established that the band gap nonlinearly varies with $x$ and can be described as a quadratic dependence.