A process for encapsulating an apparatus to restrict environmental element permeation between the apparatus and an external environment includes applying multiple barrier layers to the apparatus and preceding each layer application with a separate cleaning of the presently-exposed apparatus surface, resulting in an apparatus which includes an encapsulation stack, where the encapsulation stack includes a multi-layer stack of barrier layers. Each separate cleaning removes particles from the presently-exposed apparatus surface, exposing gaps in the barrier layer formed by the particles, and the subsequently-applied barrier layer at least partially fills the gaps, so that a permeation pathway through the encapsulation stack via gap spaces is restricted. The quantity of barrier layers applied to form the stack can be based on a determined probability that a stack of the particular quantity of barrier layers is independent of at least a certain quantity of continuous permeation pathways through the stack.