Theoretical and experimental methods used to describe electron scattering b
y surface adsorbates are reviewed. A new R-matrix theory, which describes e
lectron scattering by diatomic molecules physisorbed on a surface modelled
by a jellium potential, is then described. This theory provides an accurate
description of the molecular wave function and enables the scattered part
of the wave function, excluding the incident wave, to be calculated directl
y. Preliminary calculations for nitrogen orientated perpendicular to a meta
llic jellium surface are then presented and future directions of research a
re discussed.