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