# The effect of finite pore length on ion structure and charging

## TL;DR

This study investigates how finite pore length affects ion distribution and charging behavior in nanoporous supercapacitors, revealing non-uniform ion density and complex charging mechanisms influenced by voltage and ion concentration.

## Contribution

It introduces the impact of finite pore length on ion structure and charging dynamics, highlighting differences from infinite pore models and complex voltage-dependent behaviors.

## Key findings

- Ion density increases linearly from pore entrance to end
- Ion density changes minimally affect overall charging
- Charging behavior varies with voltage and ion concentration

## Abstract

Nanoporous supercapacitors play an important role in modern energy storage systems, and their modeling is essential to predict and optimize the charging behaviour. Two classes of models have been developed that consist of finite and infinitely long pores. Here, we show that although both types of models predict qualitatively consistent results, there are important differences emerging due to the finite pore length. In particular, we find that the ion density inside a finite pore is not constant but increases linearly from the pore entrance to the pore end, where the ions form a strongly layered structure. This hinders a direct quantitative comparison between the two models. In addition, we show that although the ion density between the electrodes changes appreciably with the applied potential, this change has a minor effect on charging. Our simulations also reveal a complex charging behaviour, which is adsorption-driven at high voltages, but it is dominated either by co-ion desorption or by adsorption of both types of ions at low voltages, depending on the ion concentration.