electrode current density, \(j\)

https://doi.org/10.1351/goldbook.E01952
If the charging current is negligible, in the case of a single @[email protected], the electrode @[email protected] (\(\text{c.d.}\)) of the @[email protected] 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 \(\left(N_{\text{B}}\right)_{e}\) is the normal component of the vector \(N_{\text{B}}\) at the electrode-solution @[email protected], \(n\) is the @[email protected] of the @[email protected] and \(\nu _{\text{B}}\) is the @[email protected] of species B. The ratio \(\frac{n}{\nu _{\text{B}}}\) 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.
Source:
PAC, 1981, 53, 1827. (Nomenclature for transport phenomena in electrolytic systems) on page 1835 [Terms] [Paper]