(a) Collapse of measured rectification factor data for 12 m PET nanopore, with a tip radius of 19 nm and base 268 nm, surface charge 0.19 C/m (estimated from 1M data) by our small-X theory (line). (b) Collapse of 2D numerical rectification data for different geometries plus simulation data from the literature (magenta down triangle) with surface charge ranging from 0.00625 to 0.2 e/nm and bulk concentration from 0.25 M to 2.0 M. The simulation parameters (tip radius-base radius-length-surface charge-concentration) are 5 nm-30 nm-1 m-0.05 C/m-2000 mM (black square), 5 nm-30 nm-1 m-0.05 C/m-1000 mM (red circle), 5 nm-30 nm-1 m-0.05 C/m-250 mM (blue up-triangle), 5 nm-30 nm-1 m-0.1 C/m-250 mM (olive diamond), 5 nm-30 nm-1 m-0.01 C/m-250 mM (navy left triangle), 3 nm-30 nm-1 m-0.05 C/m-1000 mM (violet right triangle), and 15 nm-30 nm-1 m-0.05 C/m-1000 mM (purple hexagon), respectively. Reprinted with permission from Yan et al., J. Chem. Phys. 138, 044706 (2013). Copyright 2013 AIP Publishing LLC.