“…In the case of a simple ion exchange process with k = 1, 2 representing the two exchanging ions, k = 3 the fixed ion and k=4 the water, we derive from eq. (5), (2), and (3) and the Gibbs-Duheme equation (6) the relation (7) For the fluxes we make the statement J l = -L ll Xl -L14 X 4 with (8) Xl = grad J.l.l -el/e2 grad J.l.2 X 4 =nl/n4 grad J.l.l -ndn4 grad J.l.2 (9) where the Onsager relation L« = L k i was used. In this case we need three coefficients L 11 , L 14 , and L 44 for the description of the diffusion process.…”