Vibrational spectroscopy of SnBr4 and CCl4 using Lie algebraic approach

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.

Vibrational Spectroscopy of H2O by Lie Algebraic Methods

“…Results and discussion A comparison of the experimental and calculated frequencies of stretching and bending vibrations of water molecule using the algebraic model is shown in Table I. Using established norms [10,15], the vibron number N and other algebraic parameters A, A, k, k 0 are shown in Table II for water molecule.…”

“…The main features and basic applications of these methods have been described by Iachello and Levine [11] and Oss. The Lie algebraic approach was found to be successful in our study of the vibrational spectra of H 2 O and CF 4 [12], HCN [13], HCCF, HCCD [14], tetrahedral [15], nickel metalloporphrins [16], copper tetramesityl porphyrin [17]. Highly accurate prediction of molecular vibrations has been a challenging task since ever in theoretical and physical chemistry.…”

Spectroscopic Studies on Distorted Structure Nanomolecules by Using Lie Algebraic Model

“…The value of C 0 , A, and N are given in terms of µ, D and α The algebraic model Hamiltonian [18] we consider is …”

Arbitrary 𝓁‐state solutions of the Klein‐Gordon equation with the Pöschl‐Teller potential

“…The stretching and bending vibrational energies of some molecules are calculated by using diatomic molecular potentials in the one-dimensional framework. The numerical results are used to compare with the observed data of molecules [19]. Recently, an alternative approximation scheme proposed to solve Pöschl-Teller potential by Dong et al [20].…”