Topological impact of nanopore electrodes on the structure of the electrical double layer and the di erential capacitance

TL;DR

This study analytically examines how different nanopore electrode topologies influence the structure of the electrical double layer and differential capacitance using the linearized Poisson-Boltzmann equation.

Contribution

It provides an analytical comparison of the electrical double layer and capacitance for planar, cylindrical, and spherical nanopores.

Findings

Electrical double layer structures vary with nanopore topology.

Capacitance depends on nanopore shape and size.

Analytical solutions enable better design of nanopore-based devices.

Abstract

The electrical double layer for three different topologies of nanopore electrodes is studied, i.e., the interior and exterior electrical double layers of planar, cylindrical and spherical nanopores immersed into a point-ions electrolyte, and not connected to a power source, are analytically attained through the linearized Poisson-Boltzmann equation.