The pressure acting on the surface at x can be calculated from the rate of change of momentum of molecules normal to the surface. For incoming molecules the molecules from
x′ give the following contribution to the pressure on the surface:
Substituting for ρ (θ) and integrating gives the total contribution of incoming molecules to the pressure,
pin (SI unit: Pa), at
x:
The surface is also emitting molecules at a rate J (in most cases
J = G, but in general this does not need to be the case — for example, the surface can be outgassing in addition to emitting the adsorbed molecules so that
J = G + J out). The emitted molecules also have a normal momentum change that contributes to the pressure in the following manner: