We study the scattering function of semiflexible polymer chains within
the framework of a rigid Gaussian model for polymers first introduced
by Harris and Hearst. The tractability of this model allows for a com
putation of the most relevant physical properties for any value of the
chain rigidity. We also explore at the level of the Random Phase Appr
oximation some of the bulk and surface behaviour of semidilute solutio
ns of semiflexible polymers.