An improved vapor-phase deposition method and apparatus for the application of multilayered films/coatings on substrates is described. The method is used to deposit multilayered coatings where the thickness of an oxide-based layer in direct contact with a substrate is controlled as a function of the chemical composition of the substrate, whereby a subsequently deposited layer bonds better to the oxide-based layer. The improved method is used to deposit multilayered coatings where an oxide-based layer is deposited directly over a substrate and an organic-based layer is directly deposited over the oxide-based layer. Typically, a series of alternating layers of oxide-based layer and organic-based layer are applied.