Vibrational Hamiltonian of Carbonyl Sulphide and Hydrogen Cyanide

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

Spectroscopic Studies of Distorted Structure Bio-nano Molecules

AbstractIn this paper, we have introduced an algebraic technique to Bio Nano-molecules (Porphyrins & Fullerenes) family to determine the Vibrational spectra. An algebraic model of vibrations of polyatomic BioNano-molecules and present, as an example, the vibrational analysis of stretching modes of Nickel Octaethyl Porphyrin (Ni(OEP)), its Isotopomers and bionano molecules. The algebraic technique obtained the results are compared with experimental data; the results are showing good accuracy. Some reassignments of energy levels and predicts location of states not yet observed