CH has a 2Πr ground state; the 2Π1/2 state is lower in energy. CH is well described by Hund's case (b), because A is only about twice as big as B. However, the magnitude of A causes N not to be a "good" quantum number, in particular for low values of N. This results in significant intensities for transitions with ΔJ = 1 and ΔN = 0 (spin-rotation transitions) or ΔN = 2.
The fit is based on the λ-doubling transitions reported in (1) M. Bogey, C. Demuynck, and J. L. Destombes, Chem. Phys. Lett. 100 (1983) 105109; (2) C. R. Brazier and J. M. Brown, Can. J. Phys. 62 (1984) 15631578 and references therein; the N = 1 spin-rotation transition near 535 GHz, reported by (3) T. Amano, Astrophys. J. 531 (2000) L161L164; as well as the pure rotational transitions by (4) S. A. Davidson, K. M. Evenson, and J. M. Brown, Astrophys. J. 546 (2001) 330337.
The new dataset takes into consideration (5) M. C. McCarthy, S. Mohamed, J. M. Brown, and P. Thaddeus, Proc. Nat. Acad. Sci. 103 (2006) 1226312268.
The λ-doubling transitions not only determine the respective parameters, but also the hyperfine structure constants and, to some extent, A. The transitions from (3) and (4) result in A, B, γ as well as the centrifugal distortion corrections for the latter two parameters.