Hsu J.-P.Ting K.-C.Shieh Y.-H.2019-05-202019-05-20200015206106https://scholars.lib.ntu.edu.tw/handle/123456789/409391The current efficiency £b for the transport of ions through an ion-exchange'membrane is analyzed theoretically. In particular, the effect of discretizing the fixed charges contained in the membrane into charged intervals on £b is investigated. We show that if the applied current density I is low, a membrane with a continuous linear fixed charge distribution has a higher £b than a membrane with evenly distributed charged intervals, and the larger the number of charged intervals the lower the £b. If I is high, a membrane with randomly distributed charged intervals may have a higher £b than that of a membrane with a continuous linear fixed charge distribution. It can be inferred that, as far as raising £b is concerned, distributing fixed charges discretely and/or randomly in a membrane has no practical advantage. ? 2000 American Chemical Society.journal article2-s2.0-0033732658https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033732658&partnerID=40&md5=20675c17a451f7b7135362937e58cddb