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Is Voltammetric Current Proportional to the Number of Transferred Electrons for Multi‐Charged Ions or to 3/2 Power of the Number?
Author(s) -
Aoki Koichi
Publication year - 2005
Publication title -
electroanalysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.574
H-Index - 128
eISSN - 1521-4109
pISSN - 1040-0397
DOI - 10.1002/elan.200403285
Subject(s) - nernst equation , electron , ion , diffusion , chemistry , electron transfer , current (fluid) , atomic physics , analytical chemistry (journal) , charge (physics) , physics , electrode , thermodynamics , quantum mechanics , chromatography , organic chemistry
Particles with a large number of electrons to transfer, such as nanoparticles and colloidal redox particles, give voltammetrric currents that were demonstrated theoretically to be proportional directly to the number of the electrons, n , rather than to n 3/2 . The latter quantity is included in the conventional expression for voltammetric peak currents of multi‐charge transfer processes. This apparent contradiction appears depending on whether the charge transfer occurs concurrently ( n 3/2 ) or consecutively ( n ). The expression for the linear sweep voltammetric current was derived from a combination of the diffusion equation for large particles with n electrons and the Nernst equation for the n ‐time consecutive one‐electron reactions at the electrode. The power in n for the peak currents, in several voltammetric techniques, was demonstrated to be ascribed to the convolution of the Nernst equation and the diffusion equation.

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