Vibrational Hamiltonian of Carbonyl Sulphide and Hydrogen Cyanide

  • K. Lavanya Department of Mathematics, St. Francis College for Women, Begumpet, Hyderabad, India; Department of Mathematics, GITAM (Deemed to be University), Hyderabad, India
  • A. Ganapathi Rao Department of Basic Sciences and Humanities, GMR Institute of Technology, Rajam, India
  • J. Vijayasekhar Department of Mathematics, GITAM (Deemed to be University), Hyderabad, India https://orcid.org/0000-0002-2745-7401
Keywords: Hamiltonian operator, Lie algebraic method, Carbonyl sulphide, Hydrogen cyanide, Morse Oscillator

Abstract

This study thoroughly investigates the vibrational frequencies of carbonyl sulphide (12C16O32S) and hydrogen cyanide (HCN) up to the fifth harmonic level. It offers comprehensive insights into vibrational modes by using the Hamiltonian operator formalism and concentrating on invariant operators and algebraic parameters with a one-dimensional Lie algebraic method. The findings are significant for atmospheric chemistry, spectroscopy, and quantum chemistry, contributing to a deeper understanding of molecular dynamics. This research sets the groundwork for future studies in comparable compounds and applications.

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Published
2024-03-05
Cited
How to Cite
Lavanya, K., Rao, A. G., & Vijayasekhar, J. (2024). Vibrational Hamiltonian of Carbonyl Sulphide and Hydrogen Cyanide. East European Journal of Physics, (1), 432-435. https://doi.org/10.26565/2312-4334-2024-1-46