The band structures of BSb and B x Ga 1−x Sb alloys are studied using first-principles calculations in the generalized gradient approximation. By SQS-8 supercells to model a random alloy, the direct transition energy-gap (Γ 15v − Γ 1c ) bowing of 3.0 eV is obtained for B x Ga 1−x Sb alloys in x = 0-50%, in x = 0-11% the energy-gap is the band-gap and increases by 7 meV/%B with boron composition increasing; by SQS-16 supercells the bowing parameter is about 1.9 eV in x = 0-12.5%. The formation enthalpies of mixing, ΔH, are calculated for B x Ga 1−x As and B x Ga 1−x Sb alloys. A comparison of enthalpies indicates that B x Ga 1−x Sb films with boron composition of 7% may be possible.band-gap, bowing parameter, boride alloys