Journal of Chemical Physics, Vol.111, No.21, 9609-9617, 1999
A combined analysis of the nu(9) band and the far-infrared torsional spectra of ethane
Fourier transform measurements of the lowest frequency degenerate fundamental band of CH3CH3 (upsilon(9) = 1 <-- 0) in the 12-mu m region together with far-infrared torsional spectra have been analyzed to investigate vibration-torsion-rotation effects in a symmetric top molecule. Several spectra of the nu(9) band were recorded under different experimental conditions with apodized slit functions of about 0.002 cm(-1). Although the intrinsic tunneling splitting in each (J'<-- J') doublet in the nu(9) band is predicted to be of the order of 0.002 cm(-1), in some cases the observed splitting for an intermediate J' of 20 is several times this value. In extreme cases, splittings of the order of 0.25 cm(-1) have been observed. These splittings are caused primarily by the Coriolis interaction between the torsional stack of levels upsilon(4) = 0,1,2,..., for upsilon(9) = 1 and the corresponding stack for the ground vibrational state. Because of a near-degeneracy between the upper level in the nu(9) band and its interacting partner (upsilon(9) = 0, upsilon(4) = 3), the (l = -1;K = 17,sigma = 0) torsion-rotation series is resonantly perturbed. For this case, perturbation-allowed upsilon(4) = 3 <-- 0 torsional transitions have been identified. Here sigma = 0, 1, 2, or 3 labels the torsional sublevels. Measurements from the nu(9) and 3 nu(4) bands, frequencies from the far-infrared torsional spectra in the ground vibrational state, and lower state combination differences from nu(9) + nu(4) - nu(4) band were fitted to within experimental uncertainty using a symmetry adapted effective Hamiltonian which has been used for analyses of similar spectra in methyl silane and CH3CD3. Two Coriolis parameters were determined: the experimental value of <(zeta)over tilde>(z)(9) = 0.2610(12) is in good agreement with the calculated value of 0.25, whereas the experimental value of <(zeta)over tilde>(x)(4,9) = 0.2267(20) is about 3 times smaller than the calculated value of 0.60. The theoretical treatment presented here makes use of standard symmetric top formalism and the G(36)(dagger) double-group formalism.