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arXiv 1810.02168physics.chem-ph
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电子转移反应的分子密度泛函理论研究

A Molecular Density Functional Theory Approach to Electron Transfer Reactions

Guillaume Jeanmairet, Benjamin Rotenberg, Maximilien Levesque, Daniel Borgis, Mathieu Salanne

摘要:

除了Marcus理论提出的介电连续介质描述外,目前研究溶液中或界面处电子转移反应的标准理论方法是使用经典力场或从头算分子动力学模拟。在这里,我们提出了一种替代方法的基础上的液态理论,即分子密度泛函理论,这是数值上更有效的比模拟,同时仍然保留了分子性质的溶剂。我们首先重新制定分子ET理论的密度泛函语言,并显示如何计算的各种观测特征ET反应的密度泛函最小化的合奏。特别是,我们定义在该配方中的相关序参量的反应,所谓的垂直能隙,并确定马库斯自由能曲线的反应物和产物状态沿该坐标。重要的热力学量,如反应自由能和重组自由能如下。我们通过研究模型Cl $^0\rightarrow$ Cl $^+$和Cl $^0\rightarrow$ Cl $^-$ ET反应在散装水的分子动力学的结果是可用的,以评估该方法的有效性。阴离子的情况下,发现违反标准的马库斯理论。最后,我们利用计算效率的方法来研究限制对ET的影响,通过调查的演变的重组自由能的Cl $^0\rightarrow$ Cl $^+$反应时,原子接近原子解决的墙壁。

英文摘要:

Beyond the dielectric continuum description initiated by Marcus theory, the nowadays standard theoretical approach to study electron transfer (ET) reactions in solution or at interfaces is to use classical force field or ab initio Molecular Dynamics simulations. We propose here an alternative method based on liquid-state theory, namely molecular density functional theory, which is numerically much more efficient than simulations while still retaining the molecular nature of the solvent. We begin by reformulating molecular ET theory in a density functional language and show how to compute the various observables characterizing ET reactions from an ensemble of density functional minimizations. In particular, we define in that formulation the relevant order parameter of the reaction, the so-called vertical energy gap, and determine the Marcus free energy curves of both reactant and product states along that coordinate. Important thermodynamic quantities such as the reaction free energy and the reorganization free energies follow. We assess the validity of the method by studying the model Cl$^0\rightarrow$ Cl$^+$ and Cl$^0\rightarrow$ Cl$^-$ ET reactions in bulk water for which molecular dynamics results are available. The anionic case is found to violate the standard Marcus theory. Finally, we take advantage of the computational efficiency of the method to study the influence of confinement on the ET, by investigating the evolution of the reorganization free energy of the Cl$^0\rightarrow$ Cl$^+$ reaction when the atom approaches an atomistically resolved wall.

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