We studied the energetics and the geometry of the distorted triplet st
ructures of C-50, C-56 and C-56 theoretically within a simple one-elec
tron-per-site model. Excited state wave functions were constrained int
o lower symmetries by appropriate group theoretical projection technic
s. Jahn-Teller distortions were monitored for degenerate vertical exci
tations. The distortion energies are typically a few tens of meV, the
largest value (-0.1 eV) was found for the C-2v' (3)A(1) and B-3(1) sta
tes of C-50. Zero-field-splittings of various triplets were evaluated;
the signs and values of the resulting D and E parameters are quite se
nsitive to the system and to the symmetry of the particular excited st
ate.