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Ring-Polymer Molecular Dynamics for the Prediction of Low-Temperature Rates: An Investigation of the C(1D) + H2 Reaction

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TLDR
The ring-polymer molecular dynamics method is proposed as an accurate and efficient alternative for determining the kinetics and dynamics of a wide range of low-temperature reactions by analyzing the behavior of the barrierless C((1)D) + H2 reaction over the two lowest singlet potential energy surfaces.
Abstract
Quantum mechanical calculations are important tools for predicting the rates of elementary reactions, particularly for those involving hydrogen and at low temperatures where quantum effects become increasingly important. These approaches are computationally expensive, however, particularly when applied to complex polyatomic systems or processes characterized by deep potential wells. While several approximate techniques exist, many of these have issues with reliability. The ring-polymer molecular dynamics method was recently proposed as an accurate and efficient alternative. Here, we test this technique at low temperatures (300–50 K) by analyzing the behavior of the barrierless C(1D) + H2 reaction over the two lowest singlet potential energy surfaces. To validate the theory, rate coefficients were measured using a supersonic flow reactor down to 50 K. The experimental and theoretical rates are in excellent agreement, supporting the future application of this method for determining the kinetics and dynamics...

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Citations
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Journal ArticleDOI

Chemical Reaction Rate Coefficients from Ring Polymer Molecular Dynamics: Theory and Practical Applications

TL;DR: This review serves as an important checkpoint in RPMD rate theory development, which shows that RPMD is shifting from being just one of recent novel ideas to a well-established and validated alternative to conventional techniques for calculating thermal chemical rate coefficients.
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Non-equilibrium dynamics from RPMD and CMD

TL;DR: RPMD is used to investigate excited-state proton transfer in a system-bath model, and it is compared to numerically exact calculations performed using a recently developed version of the Liouville space hierarchical equation of motion approach; similar accuracy is observed for non-equilibrium and equilibrium initial conditions.
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Uniform Supersonic Chemical Reactors: 30 Years of Astrochemical History and Future Challenges.

TL;DR: In this paper, a review of experiments devoted to investigations on the reaction dynamics of species of astrochemical interest at the temperatures of the interstellar medium and which were performed by using one of the most popular techniques in the field, CRESU is presented.
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Quantum Tunneling Enhancement of the C + H2O and C + D2O Reactions at Low Temperature.

TL;DR: In this paper, the authors performed kinetic experiments on the activated C(3P) + H2O reaction, observing a surprising reactivity increase below 100 K, an effect that is only partially reproduced when water is replaced by its deuterated analogue.
Journal ArticleDOI

Rate Coefficients of the HCl + OH → Cl + H2O Reaction from Ring Polymer Molecular Dynamics.

TL;DR: Thermal rate coefficients at temperatures between 200 and 1000 K are calculated for the HCl + OH → Cl + H2O reaction on a recently developed permutation invariant potential energy surface, using ring polymer molecular dynamics (RPMD).
References
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Journal ArticleDOI

Statistical mechanics of isomerization dynamics in liquids and the transition state approximation

TL;DR: In this paper, the authors used time correlation function methods to discuss classical isomerization reactions of small nonrigid molecules in liquid solvents and derived molecular expressions for a macroscopic phenomenological rate constant.
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Ring-Polymer Molecular Dynamics: Quantum Effects in Chemical Dynamics from Classical Trajectories in an Extended Phase Space

TL;DR: This model, which involves classical evolution in an extended ring-polymer phase space, provides a practical approach to approximating the effects of quantum fluctuations on the dynamics of condensed-phase systems.
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Rigorous formulation of quantum transition state theory and its dynamical corrections

TL;DR: In this article, a procedure for computing the thermal rate constants for infrequent events that occur in complicated quantum mechanical systems is described, based on the equilibrium statistics of the centroids for the imaginary time quantum paths.
Journal ArticleDOI

Chemical reaction rates from ring polymer molecular dynamics.

TL;DR: The ring-polymer molecular dynamics method can be adapted to calculate approximate Kubo-transformed flux-side correlation functions, and hence rate coefficients for condensed phase reactions, and it gives the exact quantum-mechanical rate constant for the transmission through a parabolic barrier.
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Quantum-classical crossover of the transition rate in the damped double well

TL;DR: In this paper, the authors studied the barrier crossing rate Gamma for a particle in a symmetric double well coupled to a sluggish bath, and used pathintegral methods to discuss the transition between the low-temperature tunnelling and the hightemperature barrier-jumping regimes, and suggested a unifying formula valid for both.
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