An apparatus for depositing a solid film onto a substrate from a reagent solution includes reservoirs of reagent solutions maintained at a sufficiently low temperature to inhibit homogeneous reactions within the reagent solutions. The chilled solutions are dispensed through showerheads, one at a time, onto a substrate. One of the showerheads includes a nebulizer so that the reagent solution is delivered as a fine mist, whereas the other showerhead delivers reagent as a flowing stream. A heater disposed beneath the substrate maintains the substrate at an elevated temperature at which the deposition of a desired solid phase from the reagent solutions may be initiated. Each reagent solution contains at least one metal and either S or Se, or both. At least one of the reagent solutions contains Cu. The apparatus and its associated method of use are particularly suited to forming films of Cu-containing compound semiconductors.