A (K+2)nd Order Formula for Asymmetry Doublets in Rotational Spectra

Abstract

Higher order perturbation theory is used to derive a formula for K type doubling of the energy levels of a rigid asymmetric rotor. The result is $${\mathrm{\Delta W=\Delta W}}_0{\text{[1+{A+BJ(J+1)+CJ}}^2{\text{(J+1)}}^2{\mathrm{\}\beta }}^2\mathrm{],}$$ where ΔW₀ is the Wang² Kth‐order result for the splitting of the energy levels, β is an asymmetry parameter, and A, B, C are independent of the structural parameters and of the quantum number J. A, B, C, have been tabulated for all values of K up to K=14.