HIGHER OVERTONE VIBRATIONAL FREQUENCIES OF CYCLOBUTANE-D8 USING LIE ALGEBRAIC FRAMEWORK

This research study employs a Lie algebraic framework to investigate the second and third overtone vibrational frequencies and their combination bands in cyclobutane-d8 (C4D8). The application of this framework ensures the preservation of the point symmetry group D2d, characterized by the symmetry species A(1), A(2), B-1, B-2, and E. The analysis encompasses 23 normal vibrational modes within the molecular structure of cyclobutane-d8. Our study extensively explores the vibrational spectra, elucidating the intricate interactions among these vibrational modes. Preserving molecular symmetry allows for a deeper understanding of vibrational interactions, offering valuable insights into spectroscopy. The research enhances the comprehension of molecular structure and its applications in various fields, providing a detailed view of higher energy levels and complex vibrational transitions in cyclobutane-d8.