Abstract
The first-order contribution of coriolis coupling to the rotational energies of degenerate vibronic states of spherical top molecules is considered for both even and odd numbers of electrons in octahedral or tetrahedral molecules. For E vibronic states the contribution vanishes, while for F 1, F 2, E 1/2 and E 5/2 states simple formulae are given. For G 3/2 states the energies are in general complicated, but simple formulae are given for two limiting cases.