Empirical formulae are obtained relating the direct band-gap energy of
semiconductors and the mean atomic number of the constituent atoms. T
he formulae are used to indicate doubtful values and to obtain the val
ues of bowing parameters of energy band-gaps of ternaries and quaterna
ries. Derived values of the bowing parameter give band-gap energies of
ternaries and quaternaries agreeing with experiments to within 0.3-7.
3% for all III-V compounds except those containing indium antimonide.