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Mechanisms of Formation of Some Forms of Electrodeposited Pure Metals

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Morphology of Electrochemically and Chemically Deposited Metals

Abstract

As already given in Chap. 1, the most frequently used form of the cathodic polarization curve equation for flat or large spherical electrode of massive metal is given by:

$$ i=\frac{i_0\left(\kern.2em {f}_{\mathrm{c}}-{f}_{\mathrm{a}}\right)}{1+\frac{i_0{f}_{\mathrm{c}}}{i_{\mathrm{L}}}} $$

where i, i 0, and i L are the current density, exchange current density, and limiting diffusion current density, respectively, and

$$ {f}_{\mathrm{c}}={10}^{\kern.1em \frac{\eta }{b_{\mathrm{c}}}}\ \mathrm{and}\ {f}_{\mathrm{a}}={10}^{-\frac{\eta }{b_{\mathrm{a}}}} $$

where b c and b a are the cathodic and anodic Tafel slopes and η is the overpotential. Equation (1.13) is modified for use in electrodeposition of metals by taking cathodic current density and overpotential as positive. Derivation of the Eq. (1.13) is performed under assumption that the concentration dependence of i 0 can be neglected [1–4].

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Notes

  1. 1.

    The reversible potential of a surface with radius of curvature r cur would depart from that of a planar surface by the quantity \( \Delta {E}_{\mathrm{r}}=2\gamma \kern0.1em V/\left( nF{r}_{\mathrm{cur}}\right) \), where γ is the interfacial energy between metal and solution and V molar volume of metal [5]. It is valid at extremely low r cur, being of the order of few millivolts, and it can be neglected except in some special cases, like the stability of the shape of the tips of dendrites [5].

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Authors and Affiliations

  1. University of Belgrade, Belgrade, Serbia

    Konstantin I. Popov

  2. Elchem Consulting Ltd., Edmonton, Alberta, Canada

    Stojan S. Djokić

  3. ICTM- Institute of Electrochemistry, University of Belgrade, Belgrade, Serbia

    Nebojša D. Nikolić

  4. Institute for Multidisciplinary Research, University of Belgrade, Belgrade, Serbia

    Vladimir D. Jović

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  1. Konstantin I. Popov
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  4. Vladimir D. Jović
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Popov, K.I., Djokić, S.S., Nikolić, N.D., Jović, V.D. (2016). Mechanisms of Formation of Some Forms of Electrodeposited Pure Metals. In: Morphology of Electrochemically and Chemically Deposited Metals. Springer, Cham. https://doi.org/10.1007/978-3-319-26073-0_2

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