Vibrational Degrees of Freedom in Ozone Decomposition

This lecture discusses the estimation of the probability of different quanta levels in the vibrational degrees of freedom of ozone undergoing decomposition. The instructor presents a scenario where 40 quanta of energy excite the vibrational modes and guides through the calculation of the probability of having at least 10, 20, or 30 quanta in a specific vibration. Combinatorial analysis is used to derive the probabilities based on the nonlinear nature of ozone's molecule. Additionally, the lecture covers the application of transition-state theory to estimate rate constants in chemical reactions, focusing on the barrier height difference and vibrational wave numbers. Various scenarios and calculations are presented to illustrate the concepts.