The experimentally measured angular distribution of electrons elastica
lly backscattered from polycrystalline or amorphous solids exhibts a s
trong resemblance to the differential cross-section for single-atom el
astic scattering. Consequently most analytical attempts to describe th
e problem, which involve some simplifying approximations to this scatt
ering cross-section, are inadequate in the modelling of backscattered
electrons. The present paper represents an attempt to derive a simple
analytical approximation that is able to describe such events. This is
done by including the first scattering event exactly and including mu
ltiple scattering events using a sort of 'rectilinear + diffusion' the
ory, which has proved to be successful for modelling the depth distrib
ution function used in Auger and x-ray spectroscopies. For the cases c
onsidered (Ag, Al and Cu at 1 kV), the results compare very well with
both experimental data and recent Monte Carlo calculations.