Projects per year
Abstract
We examine the phase space structures that govern reactiondynamics in the absence of critical points on the potential energy surface. We show that in the vicinity of hyperbolic invariant tori, it is possible to define phase space dividing surfaces that are analogous to the dividing surfaces governing transition from reactants to products near a critical point of the potential energy surface. We investigate the problem of capture of an atom by a diatomic molecule and show that a normally hyperbolic invariant manifold exists at large atomdiatom distances, away from any critical points on the potential. This normally hyperbolic invariant manifold is the anchor for the construction of a dividing surface in phase space, which defines the outer or loose transition state governing capture dynamics. We present an algorithm for sampling an approximate capture dividing surface, and apply our methods to the recombination of the ozone molecule. We treat both 2 and 3 degrees of freedom models with zero total angular momentum. We have located the normally hyperbolic invariant manifold from which the orbiting (outer) transition state is constructed. This forms the basis for our analysis of trajectories for ozone in general, but with particular emphasis on the roaming trajectories.
Original language  English 

Article number  054107 
Number of pages  12 
Journal  Journal of Chemical Physics 
Volume  144 
Early online date  3 Feb 2016 
DOIs  
Publication status  Published  7 Feb 2016 
Keywords
 Ozone
 Phase space methods
 Potential energy surfaces
 Oscillators
 Surface dynamics
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Projects
 1 Finished

NonStatistically, Selectivity and Phase Space Structure in Organic Reactions
1/01/13 → 1/01/16
Project: Research