Effect of Bjerrum pairs on the electrostatic properties of an electrolyte solution near charged surfaces: a mean-field approach

In this paper, we investigate the consequences of ion association, coupled with considerations finite size effects and orientational ordering Bjerrum pairs as well ions water molecules, on electric double layer near charged surfaces. Based lattice statistical mechanics accounting for sizes dipole moments ions, solvent consider formation derive mathematical expressions pair number density cation/anion molecule density. We reveal several significant phenomena. Firstly, it is shown that our approach naturally yields equilibrium constant dissociation-association between ions. Secondly, at low surface charge densities, an increase in bulk concentration enhances permittivity decreases differential capacitance. Next, cases where alcohol electrolyte solution have a high value moment, increases decreasing distance from surface, capacitance compared to ones lower values Bjerrum-pair moments. Finally, show difference moment can lead some variation osmotic pressure two similarly