We describe a novel approach based on atomic force microscopy to deter
mine the dihedral contact angle of a liquid polymer on top of a solid
substrate. By cross-linking the polymer in an ion beam, the polymer su
rface becomes amenable to AFM imaging. This sample preparation enables
us to take topography scans of the polymer in a solid state. The cros
s section of the contact area of a polymer drop and the substrate can
then be utilized to determine the contact angle between polymer and su
bstrate. Extremely low contact angles in the range 2-8 degrees are rep
roducibly measured. Control measurements carried out with optical phas
e modulated interference microscopy gave contact angles well comparabl
e to the AFM results. We use our method in a study of polymer dewettin
g on top of a network of itself.