Schottky field emission across narrow gaps and through thin films

The Schottky field enhanced emission equation appears to be applicable to a wide variety of structures. It has the following form, equation where A is Richardson's constant, S the area, φ the work function, d is the separation distance, k is Boltzmann's constant, T is in degrees Kelvin, ϵ0 the permittivity constant, V the applied voltage, e the electronic charge and ϵr is the relative dielectric constant.