School of Mathematics, Statistics and Operations Research, Victoria University, P.O. Box 600, Wellington 6140, New Zealand.
J Colloid Interface Sci. 2010 Oct 1;350(1):361-7. doi: 10.1016/j.jcis.2010.06.012. Epub 2010 Jun 12.
In 1996 Kelsall et al. [5] reported electrophoretic experiments with oxygen bubbles in dilute solutions of several salts that were remarkably free of surfactants, but the experimental results agree with neither their own theory nor anyone else's known to the present author. This paper assumes a double-layer thickness much smaller than the bubble radius, as it was in the experiments. It redevelops the theory on various hypotheses about the precise location of the free surface charge, and both with and without van der Weg's recently-suggested modification to the electrochemical potential. The results suggest that the free surface charge is at or on the gas side of the change in permittivity at a bubble's surface in a surfactant-free liquid, and that the classical theory for the speed of rise of a bubble is not quite correct in an electrolyte solution, but the correction is too small to measure. However, there are still unresolved difficulties with both theory and experiments, which van der Weg's suggestion does not remove. Nor does it improve the fit between theory and Grahame's [13] experiments on the differential capacitance of a double layer.
1996 年，Kelsall 等人[5]报道了在几种盐的稀溶液中进行的氧气气泡电泳实验，这些溶液中几乎不含表面活性剂，但实验结果与他们自己的理论或作者所知的其他人的理论都不相符。本文假设双层厚度远小于气泡半径，这与实验情况一致。它根据关于自由表面电荷的确切位置的各种假设重新发展了理论，同时考虑了 van der Weg 最近提出的对电化学势的修正，以及不考虑该修正的情况。结果表明，在无表面活性剂的液体中，自由表面电荷位于气泡表面介电常数变化的气侧或气侧，经典的气泡上升速度理论在电解质溶液中并不完全正确，但修正太小，无法测量。然而，理论和实验仍然存在尚未解决的困难，van der Weg 的建议并没有消除这些困难。它也没有改善 Grahame[13]关于双层微分电容的实验与理论之间的拟合。
