We report a detailed study of the ${\mathrm{Ga}}_{1\ensuremath{-}x}{\mathrm{Al}}_{x}\mathrm{Sb}$ band structure over the entire composition range. We have determined the energies, as a function of temperature, at which the direct transitions ${\ensuremath{\Gamma}}_{8}^{v}\ensuremath{\rightarrow}{\ensuremath{\Gamma}}_{6}^{c}({E}_{0})$, ${\ensuremath{\Gamma}}_{7}^{v}\ensuremath{\rightarrow}{\ensuremath{\Gamma}}_{6}^{c}({E}_{0}+{\ensuremath{\Delta}}_{0})$, ${L}_{4,5}^{v}\ensuremath{\rightarrow}{L}_{6}^{c}({E}_{1})$, and ${L}_{6}^{v}\ensuremath{\rightarrow}{L}_{6}^{c}({E}_{1}+{\ensuremath{\Delta}}_{1})$ occur, and those at which the indirect transitions ${\ensuremath{\Gamma}}_{8}^{v}\ensuremath{\rightarrow}{X}_{6}^{c}({E}_{X})$ and ${\ensuremath{\Gamma}}_{8}^{v}\ensuremath{\rightarrow}{L}_{6}^{c}({E}_{L})$ occur. A simple physical model is proposed to explain the experimental values of the ${E}_{0}$, ${\ensuremath{\Delta}}_{0}$, ${E}_{1}$, ${\ensuremath{\Delta}}_{1}$ bowing parameters. A detailed comparison is made between our results and previously reported ones.
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