Vibrational Spectra of Distorted Structure Molecules by Using Lie Algebraic Techniques: an Application to Copper and Magnesium Octaethyl Porphyrin

Using a U(2) algebraic model the fundamental stretching vibrations of copper octaethyl porphyrin and magnesium octaethyl porphyrin are calculated for 24 vibrational bands. The locality parameter ξ confirms the highly local behavior of the stretching modes of these porphyrin molecules. The model Hamiltonian so constructed appears to describe the vibrational energy levels accurately.