Screening action and growth kinetics of electrodeposited mercury droplets

Markov, Ivan; Boynov, A.; Toschev, S.

doi:10.1016/0013-4686(73)85008-x

Cited by 93 publications

(20 citation statements)

References 6 publications

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“…which coincides with the expression for V R = dR(t)/dt obtained when hemispherical single crystals grow under the conditions of pure diffusion limitations [1][2][3][4][5][6][7]19]. …”

Section: Two-and One-step Reactions and Growth Under Combined Charge mentioning

confidence: 60%

“…In case of spherical clusters formed on a foreign substrate with an wetting angle c 0 , the cluster surface area S and the volume V are given by S = 2p (1 À cos c 0 )R(t) 2 and V = (4/3)pR(t) 3 [(1/2) À (3/4)cos c 0 + (1/4)cos 3 c 0 ], its growth current is denoted by I = I 1 (t) and combination of Eq. (1) with the Faraday law, I 1 (t) = (zF/V M )dV/dt, results in a simple differential equation for the radius R(t) of the homogeneous sphere:…”

Section: Multi-step One-electron Reactions and Growth Under Pure Chamentioning

confidence: 99%

“…The growth kinetics of individual clusters was theoretically considered by many authors and explicit formulae were derived for the time dependence of the clusters' linear size and growth current accounting for different limitation factors [1][2][3][4][5][6][7][8][9][10][11][12][13][14] (see also [15][16][17][18][19] and the references cited therein). In most cases, however, the authors assume that the ions' discharge takes place as one-step reaction, which is not always the case of electrochemical metal deposition.…”

Section: Introductionmentioning

confidence: 99%

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Nucleation and growth of clusters through multi-step electrochemical reactions

Milchev

2008

Journal of Electroanalytical Chemistry

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“…which coincides with the expression for V R = dR(t)/dt obtained when hemispherical single crystals grow under the conditions of pure diffusion limitations [1][2][3][4][5][6][7]19]. …”

Section: Two-and One-step Reactions and Growth Under Combined Charge mentioning

confidence: 60%

Section: Multi-step One-electron Reactions and Growth Under Pure Chamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nucleation and growth of clusters through multi-step electrochemical reactions

Milchev

2008

Journal of Electroanalytical Chemistry

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“…15 In the case of fast electrochemical processes, nucleation exclusion zones around already existing nuclei are formed, 16,17 as seen from Fig. 15 In the case of fast electrochemical processes, nucleation exclusion zones around already existing nuclei are formed, 16,17 as seen from Fig.…”

Section: Resultsmentioning

confidence: 98%

Effect of orientation of initially formed grains on the final morphology of electrodeposited lead

Nikolic¹,

Popov

Ivanovic

et al. 2014

JSCS

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The processes of Pb electrodeposition under diffusion control were examined by scanning electron microscopy (SEM) of the formed crystals. The orientation of grains of hexagonal shape formed in the initial stage of electrodeposition strongly affected the final morphology of the Pb crystals. The formation of Pb crystals of the different shape from the same initial shape was discussed in terms of the effect of orientation of initially formed grains on the type of diffusion control. A spherical diffusion layer was formed around the tip of the hexagonal-shaped grain oriented with its tip towards the bulk solution that led to the formation of elongated crystals in the growth process. On the other hand, a cylindrical type of diffusion was responsible for the growth of hexagonal-shaped grains oriented with the lateral side towards the bulk solution. Pb crystals with well-defined sides parallel to the surface area of the macroelectrode were formed under this type of diffusion.

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“…Also it has been argued that sites will become inactive if the concentration of the electroactive species in their vicinity has become low because of the consumption of the species by neighbouring growing sites (ingestion effect [3,5,8,11,15,18,[20][21][22][23].…”

mentioning

confidence: 99%

On the rate equation of nucleation and the concept of active sites in electrodeposition

Wijenberg

Mulder

Sluyters‐Rehbach

et al. 1988

Journal of Electroanalytical Chemistry and Interfacial Electroc

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On the basis of the assumption that on a homogeneous surface area a probability 0 < P( E, c) <: 1 for nucleation can be defined which increases with the monomer concentration c and is also dependent on the potential E, it is shown both by a schematrc computer simulation and by an approximate analytical derivation that necessarily the number of nuclei has to attain a limiting value for long times. without having to resort to the existence of active sites. It follows that this limiting number arises from a concurrence between the probability of nucleation and the processes that accompany the growth of a nucleus and that decrease supersaturation. LIST OF SYMBOLSR(L u> nucleation rate per active site, s-' monomer concentration at a radial distance r from the centre of a lone nucleus at time t, mol cmm3 monomer bulk concentration, mol cmP3 diffusion coefficient, cm2 s-l growth constant of exclusion zone, cm s-' number density of nuclei at time t, cm-2 number density of active sites, cmP2 nucleation rate probability as a function of potential E and concentration c, cme2 s-' radius of a nucleus at time t, cm radius of exclusion zone at time t belonging to a lone nucleus, which is born at time u, cm l To whom correspondence should be addressed 0022-0728/88/$03.50 0 1988 Elsevier Sequoia S.A.

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Screening action and growth kinetics of electrodeposited mercury droplets

Cited by 93 publications

References 6 publications

Nucleation and growth of clusters through multi-step electrochemical reactions

Nucleation and growth of clusters through multi-step electrochemical reactions

Effect of orientation of initially formed grains on the final morphology of electrodeposited lead

On the rate equation of nucleation and the concept of active sites in electrodeposition

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