A method of making a semiconductor device in which a polysilicon gate is separated from a semiconductor substrate by a re-oxidized nitrided oxide film and in which the concentration of re-oxidized nitride in the film underlying the gate is non-uniform. The concentration of nitrogen in the substrate and the re-oxidized nitrided oxide along their interface and underlying the gate is non-uniform. The non-uniform concentrations are provided by incomplete shielding of the oxide by the gate during the nitriding and re-oxidizing processes.