The electric-dipole-forbidden T-1(1g) excitonic state of solid C-60 at
hw=1.81 eV can be probed with a second-harmonic generation (SHG) expe
riment. We show that the SHG line shape depends strongly on the degree
of rotational order. We observe a splitting into two peaks below the
rotational ordering phase-transition temperature of 260 K. The origin
of this splitting is discussed in terms of a possible Jahn-Teller effe
ct, a possible Davydov splitting due to the four molecules per unit ce
ll in the low-temperature phase, and a mixing of the nearly degenerate
T-1(1g) and (1)G(g) free molecule states because of the lower symmetr
y in the solid. The exciton band structure is calculated with a charge
-transfer-mediated propagation mechanism as suggested by Lof et al.(2)
and with one-electron (-hole) transfer integrals determined from band
-structure calculations. Comparison with our experimental SHG data lea
ds to a reasonable agreement and shows that a mixing of (1)T(1)g and (
1)G(g) states may explain the splitting at low temperature.