Pulsed-field-ionisation zero-kinetic-energy (PFI-ZEKE) photoelectron spectra of 2-butyne (CH 3 -CC-CH 3 ) and its fully deuterated isotopomer have been recorded in the region of the origin band of theX + 2 E 1 ←X 1 A 1 ionising transition. The spectral congestion originating from the combined effects of the internal rotation of the methyl groups, the spin-orbit coupling, and the Jahn-Teller effect prevented the full resolution of the rotational structure of the photoelectron spectra. A tentative analysis of the rotational branch structure of the photoelectron spectra using rovibronic photoionisation selection rules derived in the permutation-inversion spin double group G 36 (M 2 ) suggests a splitting of ∼10.5 cm −1 between the two spin-orbit components E 3/2 and E 1/2 of theX + 2 E 1 ground state and an almost free internal rotation of the methyl groups in the cations. Assignments are proposed for several low-lying vibrational levels of the cations.