Vibrational Spectra of Copper Oxides—Synthesis, Characterization and Theoretical Reconsideration by Lie Algebra

In this paper, we have reported the vibrational spectra (FTIR) of Copper (I) Oxide and Copper (II) oxide. Both the compounds are synthesized in the laboratory by maintaining standard chemical procedure. We have also analysed these spectra theoretically by using the U(2) algebraic model based on the dynamic symmetry of the molecules. In this framework, the Hamiltonian is constructed considering the interacting Casimir and Majorana operators, replacing every inter atomic bonds of the molecules by a corresponding Lie algebra. Finally the fundamental stretching vibrational energy levels of the transition metal (Copper) oxides are calculated using this model Hamiltonian in one dimensional algebraic framework. Here, we have tried to authenticate the experimental findings by theoretical model.