Sub-Nanometer Pore Ion Sieving in Supercapacitors (2D)

Nanoporous carbon supercapacitor electrodes store charge by packing electrolyte ions into a vast internal network of pores. This 2D cross-section simulator zooms into a single slit-shaped nanopore and runs a genuine geometric fit test on every ion that arrives at the mouth: an ion's real size in the electrolyte includes a shell of solvent molecules, and when the pore is narrower than that solvated diameter, the ion must shed some or all of that shell — visibly, as flying solvent particles — to squeeze through, at a real energetic cost that lowers its odds of getting in. Because the pore wall's areal capacitance scales inversely with the distance from ion to wall, this forced desolvation moves the ion's charge closer to the surface and produces a real, counter-intuitive rise in capacitance as pores shrink toward roughly the bare ion size, then a genuine sharp drop once the pore is too small for even a desolvated ion to enter. Every capacitance number on screen — including the sweep curve — is built from ions the engine actually counted as admitted, not a canned formula.