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Mathematical Modeling of Higher Overtone Vibrational Frequencies in Dichlorine Monoxide

Sreenivas Teppala*, S. Uma Devi**

* Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, India; Department of Mathematics, Anil Neerukonda Institute of Technology & Sciences (ANITS), Visakhapatnam, India.

** Department of Engineering Mathematics, Andhra University, Visakhapatnam, India.

Periodicity:July - December'2024

Abstract

This study presents the calculation of stretching vibrational frequencies for the triatomic molecule dichlorine monoxide (Cl₂ O), explicitly focusing on the fourth, fifth, and sixth overtones. Using a Lie algebraic framework, a detailed mathematical modeling approach is provided to predict these higher overtone frequencies accurately. The results demonstrate the effectiveness of the Lie algebraic method in capturing the complex vibrational behavior of Cl₂ O, offering valuable insights into its vibrational spectra.

Keywords

Vibrational Spectra, Lie Algebraic Method, Dichlorine Monoxide (Cl₂O), Vibrational Spectroscopy, Overtone Transitions.

How to Cite this Article?

Teppala, S., and Devi, S. U. (2024). Mathematical Modeling of Higher Overtone Vibrational Frequencies in Dichlorine Monoxide. i-manager’s Journal on Mathematics, 13(2), 1-4.

References

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