electrode current density, \(j\)

If the charging current is negligible, in the case of a single electrode reaction, the electrode current density (c.d.) of the electric current flowing through the electrode is related to the flux density of a species B by the equation: \[j = n\ \nu _{\text{B}}^{-1}\ F\ \left(N_{\text{B}}\right)_{e}\] where (NB)e is the normal component of the vector NB at the electrode-solution interface, n is the charge number of the electrode reaction and νB is the stoichiometric number of species B. The ratio n/νB is to be taken as positive if the species B is consumed in a cathodic reaction or produced in an anodic reaction. Otherwise it is to be taken as negative. With the convention that the normal distance vector points into the electrolytic solution, a cathodic current is then negative, an anodic current positive.
PAC, 1981, 53, 1827. 'Nomenclature for transport phenomena in electrolytic systems' on page 1835 (https://doi.org/10.1351/pac198153101827)