January 9, 2015
Journal Article

Zero-point energy, tunneling, and vibrational adiabaticity in the Mu + H2 reaction

Abstract

Abstract: Isotopic substitution of muonium for hydrogen provides an unparalleled opportunity to deepen our understanding of quantum mass effects on chemical reactions. A recent topical review [Aldegunde et al., Mol. Phys. 111, 3169 (2013)] of the thermal and vibrationally-stateselected reaction of Mu with H2 raises a number of issues that are addressed here. We show that some earlier quantum mechanical calculations of the Mu + H2 reaction, which are highlighted in this review and which have been used to benchmark approximate methods, are in error by as much as 19% in the low-temperature limit. We demonstrate that an approximate treatment of the Born–Oppenheimer diagonal correction that was used in some recent studies is not valid for treating the vibrationally-state-selected reaction. We also discuss why vibrationally adiabatic potentials that neglect bend zero-point energy are not a useful analytical tool for understanding reaction rates and why vibrationally nonadiabatic transitions cannot be understood by considering tunneling through vibrationally adiabatic potentials. Finally, we present calculations on a hierarchical family of potential energy surfaces to assess the sensitivity of rate constants to the quality of the potential surface.

Revised: January 14, 2015 | Published: January 9, 2015

Citation

Mielke S.L., B.C. Garrett, D.G. Fleming, and D.G. Truhlar. 2015. Zero-point energy, tunneling, and vibrational adiabaticity in the Mu + H2 reaction. Molecular Physics 113, no. 2:160-175. PNNL-SA-101788. doi:10.1080/00268976.2014.951416