Abstract

Understanding the falloff in rate constants of gas-phase unimolecular reaction rate constants as the pressure is lowered is a fundamental problem in chemical kinetics, with practical importance for combustion, atmospheric chemistry, and essentially all gas-phase reaction mechanisms. In the present work, we use our recently developed system-specific quantum RRK theory, calibrated by canonical variational transition state theory with small-curvature tunneling, combined with the Lindemann-Hinshelwood mechanism, to model the dissociation reaction of fluoroform (CHF3), which provides a definitive test for falloff modeling. Our predicted pressure-dependent thermal rate constants are in excellent agreement with experimental values over a wide range of pressures and temperatures. The present validation of our methodology, which is able to include variational transition state effects, multidimensional tunneling based on the directly calculated potential energy surface along the tunneling path, and torsional and other vibrational anharmonicity, together with state-of-the-art reaction-path-based direct dynamics calculations, is important because the method is less empirical than models routinely used for generating full mechanisms, while also being simpler in key respects than full master equation treatments and the full reduced falloff curve and modified strong collision methods of Troe.

Highlights

  • Unimolecular reactions, including isomerizations (A - B) and dissociation reactions (A - B + C) are widespread in chemical kinetics

  • This is the non-recrossing assumption, and the conventional Transition state theory (TST) dividing surface passes through a saddle point on the potential energy surface; generalized transition states may be placed at other locations

  • variational transition state theory (VTST) has been widely applied in many chemically important systems. In both TST and VTST, the phase points in the reactant region are assumed to be in thermal equilibrium, and Liouville’s theorem guarantees that the Boltzmann distribution is satisfied in the generalized transition state and eventually the product

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Summary

Introduction

Unimolecular reactions, including isomerizations (A - B) and dissociation reactions (A - B + C) are widespread in chemical kinetics. VTST (including recent extensions such as multi-structural VTST8 and multi-path VTST9–12) has been widely applied in many chemically important systems (the reader may consult reviews[3,13,14] or representative applications[8,9,10,11,12,15,16,17,18] for examples) In both TST and VTST, the phase points in the reactant region are assumed to be in thermal equilibrium, and Liouville’s theorem guarantees that the Boltzmann distribution is satisfied in the generalized transition state and eventually the product

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