Vibrational IR Active Spectra of Copper (II) Chloride and Cobalt (II) Chloride: A Combined Experimental and Theoretical Lie Algebraic Study

In this paper, we report the vibrational infrared spectra of transition metal compounds Copper (II) Chloride dihydrate and Cobalt (II) Chloride hexahydrate by using standard chemical procedure. To analyse these spectra we use the U(2) algebraic model based on the dynamic symmetry of the molecules. By applying algebraic techniques, an effective model Hamiltonian is obtained which conveniently describes the rovibrational degrees of freedom of the physical system. In this framework, the Hamiltonian is constructed considering the interacting Casimir and Majorana operators replacing every interatomic bond of the molecules by a corresponding Lie algebra. Finally the fundamental stretching vibrational energy levels of the transition metal compounds are calculated using this model Hamiltonian in one dimensional algebraic framework.