C4H is a heavy radical molecule with no orbital momentum
(say, L = 0) and thus follows momentum coupling scheme of Hund's case b: N + S
= J, J + I = F. Here, both electronic spin S = 1/2 and nuclear spin
I = 1/2
come from the H atom. As an example, the rotational levels with N = 1 and 2 are shown in Fig. 1.
The four main lines (thicker arrows) concentrate about 90% of total
transition intensities. (Guelin et al., 1982A&A...109...23G)
A list of fine structure transitions were given by Gottlieb et al. (1983ApJ...275..916G).
They derived the frequencies by least square fitting to laboratory
measurements.
Fig.1 Energy level diagram of N=1 and N=2 rotational
levels of C4H showing the seven hyperfine transitions observed
in TMC1. The four strongest transitions (main lines) are denoted by
thicker lines. (From Guelin et al., 1982A&A...109...23G)