A statistical mechanics study on relationship between nanopore size and energy storage in supercapacitors

摘要: Abstract By applying classical density functional theory approach, one study is done on the impacts of relative size (compared to that salt ions) cylindrical pore electrode curves differential electrical capacitance C d vs surface charge strength |σ| and energy storage E applied voltage U , main conclusions are summarized as follows. (i) Solvent granularity always tries facilitate a change - σ curve from bell-shaped camel shape; given shallow with reduced radius such R ∗ = 1.5 in presence symmetrical higher valence ion assumes shape, whatever electrolyte bulk concentration is. (ii) For sufficiently small high induces extremely peak camel-shaped at both sides zero charge. (iii) Symmetrical (2:2 3:3) electrolytes help raising value, which almost independent concentration, (iv) Influence single value becomes observable only when exceeds some lower limit voltage, positively correlated valence. After exceeding versus display saturation trend for smaller ; whereas larger pore, increase rate faster faster. The deep reason phenomena co-ion adsorption capacities go critical after potential increases steeply value.