[show abstract][hide abstract] ABSTRACT: An algebraic model of coupled anharmonic oscillators is introduced, capable of describing the stretching vibrations of medium and large polyatomic molecules. This model is applied to the calculation of Cm–H and Cβ–Cβ vibrational modes of nickel octaethyl porphyrins and nickel porphyrins molecules. The model appears to describe the data accurately.
[show abstract][hide abstract] ABSTRACT: Using Lie algebra the vibrational energy levels of HCN were calculated using the local
Hamiltonian for 35 vibrational bands. A comparative study was made with earlier results.
[show abstract][hide abstract] ABSTRACT: Using Lie algebraic techniques and simpler expressions of the matrix elements of Majorana and Casimir operators given by us,
we obtain an effective Hamiltonian operator which conveniently describes stretching vibrations of biomolecules. For a copper
tetramesityl porphyrin molecule, the higher excited vibrational levels are calculated by applying the U(2) algebraic approach.
[show abstract][hide abstract] ABSTRACT: The stretching and bending vibrational energies of SnBr4 and CCl4 are calculated in the one-dimensional framework. The dynamical symmetry group of tetrahedral molecule was taken into consideration to construct the model Hamiltonian in this framework. Casimir and Majorana invariant operators were also determined accordingly. Using the model Hamiltonian so constructed, we reported the vibrational energy levels of SnBr4 and CCl4 molecules accurately.