A silicon nitride layer is formed over transistor gates while the processing temperature is relatively high, typically at least 500° C., and the pressure is relatively high, typically at least 50 Torr, to obtain a relatively high rate of formation of the silicon nitride layer. Processing conditions are controlled so as to more uniformly form the silicon nitride layer. Generally, the ratio of the NH3 gas to the silicon-containing gas by volume is selected sufficiently high so that, should the surface have a low region between transistor gates which is less than 0.15 microns wide and have a height-to-width ratio of at least 1.0, as well as an entirely flat area of at least 5 microns by 5 microns, the layer forms at a rate of not more than 25% faster on the flat area than on a base of the low region.