Mathematical Modeling of Higher Overtone Vibrational Frequencies in Dichlorine Monoxide

Sreenivas Teppala*
Periodicity:July - December'2024

Abstract

This study presents the calculation of stretching vibrational frequencies for the triatomic molecule dichlorine monoxide (Cl₂O), explicitly focusing on the fourth, fifth, and sixth overtones. Using a Lie algebraic framework, we provide a detailed mathematical modeling approach to predict these higher overtone frequencies accurately. The results demonstrate the effectiveness of the Lie algebraic method in capturing the complex vibrational behavior of Cl₂O, offering valuable insights into its vibrational spectra.

Keywords

Vibrational spectra, Lie algebraic method, Dichlorine Monoxide (Cl₂O)

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