Determination Of Transfer Coefficient Through Mean Exit Time Method For Model Potentials

The electrochemical oxidation of the Activated Complex (AC) has shown very lowrn( 0:1) values of Anodic Transfer Coe±cient (ATC) for conducting polymers such asrnPolypyrrole and Polyaniline [2-5] a particular model potential barrier. In order tornexplain the cause for such low values of ATC, Aoki used a speci¯c potential hill tornestimate such low value for the ATC. He used Langevin dynamics to describe thernmotion of the AC. In our present work, using the method of ¯nding mean exit time,rnwe are able to get expressions of the ATC for three model potential hills where one ofrnthe model we took is approximately that of Aoki's potential hill. Depending on thernparameters of the model potentials, we have explored the conditions under which thernATC value goes from 0:5 to as small as 0:1 or less. Eventhough, the method we usedrnto get the expression for the ATC is completely di®erent from that used by Aoki, wernare able to get very low values of ATC under highly asymmetric conditions of thernmodel potential hills

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