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非谐性、再穿越效应以及量子力学隧穿在含半经典隧穿的过渡态理论中的重要性。一个测试案例:H₂ + Cl 氢提取反应

Importance of anharmonicity, recrossing effects, and quantum mechanical tunneling in transition state theory with semiclassical tunneling. A test case: the H2 + Cl hydrogen abstraction reaction.

作者信息

Sansón Jorge A, Sánchez María-Luz, Corchado José C

机构信息

Departamento de Química Física, Facultad de Ciencias, Universidad de Extremadura, Avda. de Elvas S/N, 06071 Badajoz, Spain.

出版信息

J Phys Chem A. 2006 Jan 19;110(2):589-99. doi: 10.1021/jp052849d.

Abstract

The hydrogen abstraction reaction from H2 by the Cl atom is studied by means of the variational transition state theory with semiclassical tunneling coefficients on the BW2 potential energy surface. Vibrational anharmonicity and coupling between the bending modes are taken into account. The occurrence of trajectories that recross the transition state is estimated by means of the canonical unified statistical method and by classical trajectories calculations. Different semiclassical methods for tunneling calculations are tested. Our results show that anharmonicity has a small but nonnegligible effect on the thermal rate constants, recrossing can be neglected, and tunneling is adequately described by the least-action approximation, and less successfully by the large-curvature version 3 approximation. However, the large-curvature version 4 and small-curvature approximations lead to a severe underestimation of tunneling. Thermal rate constants calculated using transition state theory including anharmonicity and tunneling agree very well with accurate quantal thermal rate constants over a wide temperature range, although the improvement over the harmonic transition state theory with the microcanonically optimized semiclassical tunneling approximation (based on version 3 of the large-curvature tunneling method) used in a previous study of this reaction is only marginal.

摘要

采用变分过渡态理论并结合BW2势能面上的半经典隧穿系数,研究了氯原子从氢气中夺取氢原子的反应。考虑了振动非谐性以及弯曲模式之间的耦合。通过正则统一统计方法和经典轨迹计算来估计轨迹重新穿越过渡态的情况。测试了不同的半经典隧穿计算方法。我们的结果表明,非谐性对热速率常数有微小但不可忽略的影响,重新穿越可以忽略不计,用最小作用量近似能较好地描述隧穿,而大曲率版本3近似的效果稍差。然而,大曲率版本4和小曲率近似会导致对隧穿的严重低估。在很宽的温度范围内,使用包含非谐性和隧穿的过渡态理论计算得到的热速率常数与精确的量子热速率常数非常吻合,尽管与之前该反应研究中使用的微正则优化半经典隧穿近似(基于大曲率隧穿方法的版本3)的谐性过渡态理论相比,改进幅度很小。

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