Abstract

The inclusion of nuclear quantum effects (NQEs) in molecular dynamics simulations is one of the major obstacles for an accurate modeling of molecular scattering processes involving more than a couple of atoms. An efficient method to incorporate these effects is ring polymer molecular dynamics (RPMD). Here, we extend the scope of our recently developed method based on non-equilibrium RPMD (NE-RPMD) from triatomic chemical reactions to reactions involving more atoms. We test the robustness and accuracy of the method by computing the integral cross sections for the H/F + CH4/CHD3 reactions where the methane molecule is either initially in its vibrational ground or excited state (C-H stretch). Furthermore, we analyze the extent to which NQEs are described by NE-RPMD. The method shows significant improvement over the quasiclassical trajectory approach while remaining computationally efficient.

Highlights

  • One of the challenges of physical chemistry is to study in detail the dynamics of chemical reactions

  • We show that the NE-ring polymer molecular dynamics (RPMD) simulations describe the dominant zero-point energy (ZPE) effects present in the dynamics for a wide range of collision energies

  • We see that non-equilibrium RPMD (NE-RPMD) only performs marginally better than quasi-classical trajectory method (QCT) for the reaction F + CHD3, where relevant tunneling effects cannot be described with NE-RPMD

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Summary

INTRODUCTION

One of the challenges of physical chemistry is to study in detail the dynamics of chemical reactions. The atoms are propagated with the classical equations of motion on a potential energy surface (PES) employing initial conditions that mimic quantum rotational–vibrational states This approach has successfully revealed insights into microscopic details of chemical reaction dynamics.[43–47]. H + CH4 and its isotopic variants constitute valuable benchmark hexatomic reactions for NE-RPMD Another extensively studied reaction is F + CHD3 → FH + CD3.14,33,44,45,93–102 Czakó and Bowman performed an in-depth QCT investigation of the reaction employing a PES that does not incorporate spin–orbit (SO) coupling effects.[98,101]. As such, comparing its ICS results with those of QCT and RDQD for this reaction constitutes a good test to explore the capabilities of NE-RPMD This reaction is well suited to benchmark methods capable of approximating NQEs in full-dimensional calculations, such as NE-RPMD.

THEORY
Reactant initialization
Collision initialization The average momentum of the ring polymer atom X is pX
Choice of β
Calculation of integral cross sections
System details and computational details
Stability of the centroid vibrational C–H stretch excitation model
H + CH4 and H + CHD3 in their ground state (ν = 0)
H + CHD3 (ν1 = 1)
F + CHD3(ν1 = 0, 1)
CONCLUSIONS
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