Tim Wendler BYU - Physics and Astronomy Department

PhD Dissertation - Launch Pad


Abstract algebraic simplifications are used in molecular reaction dynamics. Operators are exploited instead of functions in the construction of a molecular collision Hamiltonian. A particular area, the saddle point of a potential energy surface is expanded around for insight into the real functionality of energy modal transfer.

When two particles collide we observe very interesting behavior. Depending on the theory, relevant properties emerge agreeably with experiment. Fascinating events like vibrational quanta being lost during a reaction may be revealed upon examination of the system's algebraic structure. To find the subtle differences in the current models of molecular reaction dynamics one must dig deeper as well as hold to the bigger picture. Therefore, it is crucial that we present a more complete molecular interpretation to our colleagues.

Molecules have a geometry that emerges from electrostatic forces. An algebraic structure called the vibron model offers a simple interpretation of a molecule's inner dynamics. The different quanta of the molecule most likely came from a collision. Collisions and reactions with other particles cause the current interpretation to weaken.

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Tim Wendler

Manuel Berrondo   Jean-Francois Van Huele   J. Ward Moody   Scott Bergesen  Gus Hart