The smallest fullerene, C-20 in the structure of the regular dodecahed
ron (symmetry I-h) is treated. The 36 Kekule structures are deduced. T
he Huckel molecular orbital energies are re-derived. A normal coordina
te analysis is performed and includes a set of predicted vibrational f
requencies, which contain one single infrared-active frequency (840 cm
(-1)). Mean amplitudes of vibration and perpendicular amplitude correc
tion coefficients are reported.