The zero-field splitting found in spin resonance in the excited T-3(2g
) state of neutral C-60 has a lower symmetry than is predicted by the
usual Jahn-Teller (JT) coupling theory. The effect of spin-spin coupli
ng in the JT split state is discussed, and it is shown that the observ
ed value of \E/D\, the ratio of the spin Hamiltonian constants, gives
information about the nature of the distortion. It is proposed that th
e ground-state distortion departs slightly from D-5d symmetry because
of the presence of an unexpected, but small, high-order term in the en
ergy.