Vibrational spectra of distorted structure Macro & Nano molecules: An algebraic approach

Using the Lie algebraic method the vibrational frequencies of 97 resonances Raman lines (A1g + B1g + A2g + B2g) and 38 infrared bands (Eu) of octaethylporphyrinato-Ni (II) and its mesodeuterated and 15N-substituted derivates and Fullerenes C60 and Cv70 of 7 vibrational bands are calculated using U(2) algebraic Hamiltonian with four fitting algebraic parameters. The results obtained by the algebraic technique have been compared with experimental data; and they show great accuracy.