We analyze the spectra of simple Rydberg molecules in static fields within
the framework of closed/periodic-orbit theories. We conclude that in additi
on to the usual classical orbits one must consider classically forbidden di
ffractive paths. Further, the molecule brings in a new type of "inelastic"
diffractive trajectory in addition to the usual "elastic" diffractive orbit
s encountered in systems with point scatterers. The relative importance of
inelastic versus elastic diffraction is quantified by merging the usual clo
sed orbit theory framework with molecular quantum defect theory.