Some analytic properties of the master equation for unimolecular reaction

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Abstract

Necessary and sufficient conditions for the occurrence of strict Lindemann behaviour in thermal unimolecular reactions are presented; both strong-collision and weak-collision régimes are treated. For the strong-collision case, there is a simple connection between the shape of the fall-off curve and the specific rate constant function k ( E ), but there is no direct connection between the shape of the fall-off curve and the structure of the molecule. In the weak-collision case, strict Lindemann behaviour will occur only when bottleneck effects dominate, and as a prelude to the detailed examination of this problem, we derive the rate constant for a weak-collision master equation, valid for all pressures.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference19 articles.

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1. Weak Collision Effects on Broadening Factors for Unimolecular Reactions;The Journal of Physical Chemistry;1994-09

2. Shapes of unimolecular fall-off curves;The Journal of Physical Chemistry;1992-01

3. Multi-exponential unimolecular rate formulae;Theoretica Chimica Acta;1990

4. Inflections in unimolecular falloff curves;The Journal of Physical Chemistry;1986-07

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