We derive the entire singly excited electronic level spectrum of a dip
olar molecule (CaF) from atomic properties alone (the quantum defects
of Ca+). In the approach presented here the motion of the lone electro
n is treated as a double scattering process involving the closed-shell
Ca++ and F- centers with F- treated as a point charge. The energies o
f all known electronic states of CaF are well reproduced by the theory
. Refinements of the model such as inclusion of the finite volume of F
- or of polarization effects are deferred as are extensions of the mod
el to account for spin-orbit and other fine structure effects.