Adiabatic Theory of Rotational Excitation of Non-ΣStates

The formulas for the rotational excitation of diatomic molecules in the adiabatic theory are generalized to include rotational excitation within molecular states of arbitrary $\Lambda$ symmetry. For $\Lambda$ not equal to zero (non-$\Sigma$ states), the rotational quantum number can change by any integer, and not only an even integer as is the case for $\Sigma$ states.