Gallium arsenide and indium arsenide layers have been grown by atomic layer epitaxy (ALE) using gallium and indium chlorides and arsine as source materials. The chlorides are formed by a chemical reaction between hydrogen chloride and the respective elemental metal. Argon acts as the carrier gas. The grown gallium arsenide layers are unintentionally doped to a level of ≥ 1017 cm-3. Mobilities up to 75% of the theoretical values for materials with such carrier concentrations are measured. For GaAs, the RBS/channeling technique gives minimum yield of 4% compared to the corresponding random backscattering spectrum, indicating good crystalline quality. This is further confirmed by observation of a photoluminescence peak with FWHM of 12 meV at 12 K originating from GaAs/InAs/GaAs single quantum well a few monolayers thick.