Mathematical modelling of the chronoamperometric response of an array of-rectangular microelectrodes

A general mathematxal model descnbmg the response of an array of Bat amperometnc electrodes wth arbitrary srze and spatml dis~~tlon at the bottom of a measurmg cell with rectangular walls and fimte d~ensIons IS outlined It IS based on the gee-d~enslon~ d&fusion equation wrth m&al and boundary conditxons correspondmg to the physxal situatton wh& was numencally solved by the impbclt ~ternatl~~ir~on ~lte~~eren~ method The accuracy of the numerical solution was umfhmed by theoretlcal and experunental results obtamed by other authors By comparmg the ~oam~romet~c curves of the mdrvldual electrodes and by ~~ the spatial ~n~n~~on dlst~but~on m the measurmg cell conclusions can be drawn concemmg the mutual mfiuence of the mdMdua~ electrodes for a gxven geometry of the array and the dnnensions of the rne~u~g cell This wdl allow the deswmg of arrays and selectmg the proper measurmg cell dnnenstons resultmg m mmnnal sensor Interferences ~rono~~~metnc curves show the &me reqmred for at~lnIng quasi steady state and the correspondmg current value Ill~tratwe examples are presented