The vibrational energy levels of two C78 fullerene isomers, having 2v C symmetry are calculated considering the local Hamiltonian of Morse potential using the U(2) Lie algebra. Here each bond of the molecule is replaced by a corresponding Lie algebra and finally the Hamiltonian is constructed considering the interacting Casimir and Majorana invariant operators. The normal IR active stretching modes of vibration of isomers of C78 are then calculated using this Hamiltonian to fit the experimental results.
