Embodiments relate to surface treating a substrate, spraying precursor onto the substrate using supercritical carrier fluid, and post-treating the substrate sprayed with the precursor to form a layer with nanometer thickness of material on the substrate. A spraying assembly for spraying the precursor includes one or more spraying modules and one or more radical injectors at one or more sides of the spraying module. A differential spread mechanism is provided between the spraying module and the radical injectors to inject spread gas that isolates the sprayed precursor and radicals generated by the radical injectors. As relative movement between the substrate and the spraying assembly is made, portions of the substrate is exposed to first radicals, sprayed with precursors either one of the spraying modules or both spraying modules using supercritical carrier fluid, and then exposed to second radicals again.