Abstract
We study the packing of spherocylindrical molecules inside a freely rotating right circular cylindrical domain at the liquid-gas interface. The analysis is made under the assumption that the molecules of the domain are rigid and close packed, and that they are parallaly oriented. Their common inclination relative to the normal to the interface is completely arbitrary. This result is essential when attempting to model a Langmuir film. As a first application we obtain an expression for the packing fraction, as a function of domain size, direction of inclination, and angle of inclination. The expression is exact for all domain sizes, all directions, and all angles.