Abstract
Measuring zeta potentials in nanometer-deep channels (nanochannels) is challenging but critical in modeling mass transport through these channels. To our knowledge, there are no reliable methods available to determine these potentials, presumably due to the fact that zeta potential changes with channel depth in nanochannels. In this work, we describe a novel approach to address this issue. The approach includes four steps: (1) a series of potential curves is calculated at various zeta potentials using an established model; (2) a set of corresponding concentration profiles of a selected ion is obtained according to the Boltzmann equation, and an average concentration is calculated from each of the profiles; (3) the average concentration of the selected ion in a nanochannel is experimentally measured; and (4) the actual concentration profile is identified by matching the measured concentration with the calculated results. Once the concentration profile is unveiled, the zeta potential is determined. To demo...
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