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Algebraic model; vibrational energy level; tetrahedral molecules.

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 frame-work. 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.

Joydeep Choudhury¹ Srinivasa Rao Karmuri¹ Nirmal Kumar Sarkar² Ramendu Bhattacharjee¹

1. Department of Physics, Assam University, Silchar 788 011, India
2. Department of Physics, Karimganj College, Karimganj 788 710, India

Published

September 2008

Manuscript received

24 November 2007

Manuscript revised

14 April 2008

Accepted

21 April 2008