Department of Chemistry, Stanford University, Stanford, California 94305, USA.
J Chem Phys. 2022 Feb 7;156(5):054705. doi: 10.1063/5.0078281.
A water microdroplet in air or oil typically possesses an electric double layer (EDL) from the preferential adsorption of surface-bound ions at the periphery. We present the calculations of the ion gradients within a microdroplet at equilibrium, including systems containing buffers and water autoionization. These ion gradients are used to calculate the potential energy stored within the microdroplet. We consider how this stored potential energy can be utilized to drive chemical reactions, much like an electrochemical cell. Effective voltages as high as 111 mV are found for microdroplets having a low surface charge density (0.01 ions per nm). Two sources of potential energy are investigated: (1) the electrostatic energy of the EDL of the microdroplet and (2) shifts in other chemical equilibria coupled to the main reaction through the EDL. A particularly important example of the latter is water autoionization, wherein the reaction of interest causes a flattening of the [H] gradient within the EDL, resulting in a net recombination of H and OH throughout the microdroplet. Numerical calculations are performed using a continuum model consisting of a balance between the electromigration and diffusion of ions throughout the microdroplet. Our treatment accounts for the autoionization of water and any chemical equilibrium of buffers present. The results are presented for uncharged water microdroplets with low amounts of salts and simple buffers in them. However, the calculational method presented here can be applied to microdroplets of any net charge, composed of any solvent, containing ions of any valence, and containing complex mixtures of chemical equilibria.
空气中或油中的水微滴通常具有电双层(EDL),这是由于表面结合离子在周边的优先吸附。我们介绍了在平衡条件下微滴内离子梯度的计算,包括含有缓冲液和水自电离的系统。这些离子梯度用于计算微滴内储存的势能。我们考虑如何利用这种储存的势能来驱动化学反应,就像电化学电池一样。对于表面电荷密度低(每纳米 0.01 个离子)的微滴,发现有效电压高达 111 mV。研究了两种势能来源:(1)微滴 EDL 的静电能,(2)通过 EDL 与主要反应耦合的其他化学平衡的位移。后者的一个特别重要的例子是水自电离,其中感兴趣的反应导致 EDL 内[H]梯度变平,导致整个微滴中 H 和 OH 的净重组。使用由离子在整个微滴中电迁移和扩散之间的平衡组成的连续体模型进行数值计算。我们的处理方法考虑了水的自电离和存在的缓冲液的任何化学平衡。结果针对带少量盐和简单缓冲液的不带电的水微滴进行了呈现。然而,这里提出的计算方法可以应用于任何净电荷的微滴,由任何溶剂组成,含有任何价态的离子,并含有复杂的化学平衡混合物。