An Algebraic Approach to Study the Vibrational Spectra of fullerene C80

Thevibrational energy levels of fullerene C 80 are calculated considering the local Hamiltonian of Morse potential using the U(2) 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 operators. By constructing the model Hamiltonian, we calculated the local mode vibrational energy levels of the fullerene C 80 .