Abstract
The estimation of electrochemical quartz crystal microbalance (EQCM) frequencies from a given cyclic voltammetric data is analysed using underpotential deposition (UPD) of metals as an illustrative process. The crucial role played by the surface roughness of electrodes and electrosorption valency of the depositing species is pointed out. The computed EQCM frequency shifts for the UPD of Cd and Tl on polycrystalline Ag electrodes are in satisfactory agreement with the experimental data.
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Notes
Figures 1c and 3c from ref. [19] depict the surface coverages as a function of potential albeit only the deposition process. Surface coverage, θ, is defined as θ i =Δq idep /qmax where qmax=ze/(2r)2, z denotes the valency of the species, e is the electronic charge, Δqdep is the charge density corresponding to the appropriate potentials evaluated using Eqns. 1 and 2 and r is the ionic radii of the depositing species [23] (r=0.95 Å for Cd2+ and 1.5 Å for Tl+. The plots of surface coverage, θ vs E plot so deduced are in excellent agreement with those of Ref. [19], thus validating the Scheme 1 for computing charge densities.
References
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The electrosorption valency γ pertaining to the UPD of Cd on Au is reported to vary from 1.6 to 2.0 and γ in the case of the UPD of Cd on Ag is ≈ 2.0. A value of 1.7 for γ has been employed in our analysis leading to Fig. 2c. If γ is assumed to be 2.0, an error of ca ±15% is obtained in comparison with experimental data
(a) The electrosorption valency (γ) of ions and chemisorbing organic compounds is a measure of the extent of partial charge transfer of the adsorbate with the electrode surface. Within a statistical mechanical framework, the estimation of γ requires suitable adsorption isotherms and models for interfacial potential distribution (Schultze JW, Koppitz FD (1976) Electrochim Acta 21:327). Alternately, quantum mechanical calculations as well as Monte Carlo simulations pertaining to simple halide ions do exist (see for example: Abou Hamad I, Wandlowski Th, Brown G, Rikvold PA(2003) J Electroanal Chem 211:554–555) (b) It is interesting to enquire whether employing the roughness factor and electrosorption valency from the experimental data is appropriate in deducing EQCM response from the CV data while employing Eqs. 8 and 9. However, the roughness factor of any electrode can directly be obtained by estimating the oxide formation on the surface. Analogously, the electrosorption valency of depositing species can be deduced from suitable adsorption isotherms
The experimental data of Figs. 1 and 2 were reproduced with permission from Elsevier Science Publishers
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The financial support by the Council of Scientific and Industrial Research, Government of India is gratefully acknowleged.
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Girija, T.C., Sangaranarayanan, M.V. Estimation of electrochemical quartz crystal microbalance frequencies from cyclic voltammetric data:—underpotential deposition of metals as an illustration. J Solid State Electrochem 9, 621–626 (2005). https://doi.org/10.1007/s10008-004-0617-7
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DOI: https://doi.org/10.1007/s10008-004-0617-7