The direct l-type resonance spectrum of CF3CCH in the vibrational state v10=3: Extension of the theory of reduction to H6n terms

The direct l-type resonance spectrum of CF3CCH has been measured in the v10=3 vibrational state by means of waveguide microwave Fourier transform spectroscopy in the range 8–26 GHz. Three types of direct l-type resonance transitions induced by the (Δk=Δl=±2) interaction could be observed: 140 transitions following the ΔJ=0, Δk=Δl=±2, Δ|l|=0, selection rule covering values of J=17–61 and G=|k−l| from 1 to 7, 94 transitions following the ΔJ=0, Δk=Δl=±2, Δ|l|=±2, selection rule covering values of J=26–57 and G from 15 to 24, 90 transitions following the ΔJ=0, Δk=Δl=±4 selection rule covering values of J=34–80 and G from 3 to 12 and 13 transitions following the ΔJ=0, Δk=Δl=±6, k=∓1, l=∓1⇔k=±5, l=±3 selection rule for J=71-83. 14 A1–A2 splitting transitions with kl=+1 were measured from J=33 to 49. Strong perturbations due to Δ(k−l)=±3 interactions made possible the observation of perturbation-allowed transitions with selection rule k=±4, l=±3⇔k=±3, l=∓1. Furthermore, the rotational transitions J=2–1, 3–2 and 4–3 have been measured. To make use of the multiple fitting concept, the theory of reduction developed for the vt=2 vibrational state by Sarka and Harder [K. Sarka, H. Harder, J. Mol. Spectrosc. 197 (1999) 254] has been extended to the vt=3 vibrational state including terms up to H62. Owing to problems in the reproduction of data with low K and A1–A2 symmetry, two types of fits have been performed using five reduced forms of the effective Hamiltonian. The first type of fit used a reduced data set for which part of the transitions has been omitted. The unitary equivalence of the determined parameter sets has been demonstrated including newly derived relations for parameters in v10=3. In the second type of fit, the complete data set has been included, yielding satisfactory results only in one reduction. In both type of fits, parameters up to sixth order have been determined including the axial rotational constant A and the Coriolis constant Aζ for both values of l. General features of the direct l-type resonance spectrum in a vt=3 level are discussed.