“…1 for each desolvated species s, expressing the fraction of desolvated species s depending on the relation between the electrochemical EDLC (electrochemical double layer capacitor) energy and the desolvation energy, as is given in. 7,16,17 D s , p denotes the diffusion coefficient of species s in the liquid electrolyte of pore p given by a modified Stokes-Einstein relation, equation (SI.12) 7,16,17 as a function of the electrolyte viscosity and species size, pore tortuosity for pore size p, and pore constrictivity relating the ion size to the pore size p. The species size is the size of the solvated species 19 if it fits the pore size p or the size of the desolvated species 19 if it is smaller than pore size p. 7,16,17 If the pore size p is smaller than the size of desolvated species s, no s species is transported in pore size p. The electrolyte viscosity and conductivity (Nernst-Einstein equation) change with time as a function of the local species concentrations as described in 7,16,17 and are given by equations (SI.14) and (SI.16), respectively. R s,p is the net rate between the rate of dissolution and the rate of precipitation of species s in pore size p, given as a function of the mass transfer coefficient, k s , and the concentration difference between C s,p and the saturation concentration C s-sat of species s in the electrolyte (data from 20,21 ) by the following equation:…”