Electrokinetic energy conversion efficiency in ion-selective nanopores

Taking hydrodynamic slippage into account, we derived an exact expression for the figure of merit to evaluate the electrokinetic energy conversion efficiency and power of an ion-selective nanopore. In the absence of slip, and when the ratio of the radius and the Gouy-Chapmann length (a / GC) is approximately 10, the highest efficiency for an electrolyte consisting of simple monovalent ions was predicted to be approximately 9.7. While this efficiency is low, it can be greatly improved to a potentially practical efficiency (40) when the slip ratio (b / a) is greater than 0.7.