Abstract
The free-exciton series $n=1,2,3$ in high-purity GaAs has been observed in photoluminescence and photoconductivity. The $n=1$ peak shifts upon changing the excitation level because of free-carrier screening. Anisotropy and exchange effects as well as two valence bands must be included to interpret the series spectrum of this Wannier-like exciton. New values are derived for the band gap at 1.6 K (${E}_{g}=1.5189\ifmmode\pm\else\textpm\fi{}0.0001$ eV) and for the $n=1$ excitonic binding energy [${E}_{X}(1s)=3.77\ifmmode\pm\else\textpm\fi{}0.05$ meV].
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