The current transient for nucleation and diffusion-controlled growth of spherical caps

Branco, P. Daniel; Mostany, Jorge; Borrás, Carlos; Scharifker, B.R.

doi:10.1007/s10008-008-0700-6

Cited by 20 publications

(13 citation statements)

References 17 publications

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“…In fact, as shown herein, this is more accurately modeled as the growth of a 3D island under diffusion control (Figure 4A). Taking the growth velocity as the total separator thickness divided by the time spent under diffusion control, we find that the velocity decreases with time according to the classic solution for 3D hemispherical growth under diffusion control 28,46 :…”

Section: D Island Growth Of Mgmentioning

confidence: 98%

“…In the study of electrodeposition, hemispherical island-type growth often results from mixed kinetic and diffusion controls. 28,[45][46][47] To gauge the extent of diffusion control, we measured the diffusion coefficient using an instantaneous potential step method. 27 From the slope of the resulting Anson plot in Figure S5, the diffusion constant, D O , was determined to be 1.03 3 10 À7 cm 2 /s for the 0.1 M electrolyte solution, a full order of magnitude lower than typical Li-ion electrolytes.…”

Section: Diffusion Limitations In Mg(tfsi) 2 Electrolytesmentioning

confidence: 99%

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Kinetic- versus Diffusion-Driven Three-Dimensional Growth in Magnesium Metal Battery Anodes

Eaves-Rathert

Moyer

Zohair

et al. 2020

Joule

117

136

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With twice the volumetric energy density as lithium, magnesium is a promising material for next-generation energy storage devices. Although magnesium rechargeable batteries were once believed to be even safer than lithium, the mechanisms governing multivalent metal deposition under practical operating conditions are still poorly understood. Through a comprehensive study of electrodeposition in coin cells over a wide range of current densities, we report a transition from charge-transfer-limited to diffusion-limited processes at timescales defined by the transport properties of the electrolyte. Our results explain controversial ideas such as 3D growth within the context of classical electrochemical theories and lay groundwork for future approaches to achieve stable electroplated multivalent metal electrodes.

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Section: D Island Growth Of Mgmentioning

confidence: 98%

Section: Diffusion Limitations In Mg(tfsi) 2 Electrolytesmentioning

confidence: 99%

Kinetic- versus Diffusion-Driven Three-Dimensional Growth in Magnesium Metal Battery Anodes

Eaves-Rathert

Moyer

Zohair

et al. 2020

Joule

117

136

View full text Add to dashboard Cite

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“…As regard the present approach, for cup-shaped nuclei the equation for the growth law (eqn.12) should be modified according to ref. [47].…”

Section: Anisotropic Nucleus Growthmentioning

confidence: 99%

“…Current transients for cup-shaped nuclei have been computed in ref. [47] on the basis of the planar diffusion zones approach. The dependence of J with contact angle has been modeled and an experimental technique for measuring contact angle during electrodeposition proposed in [48].…”

Section: Anisotropic Nucleus Growthmentioning

confidence: 99%

Kinetics of island growth in the framework of “planar diffusion zones” and “3D nucleation and growth” models for electrodeposition

Politi

Tomellini

2018

J Solid State Electrochem

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In the electrochemical deposition of thin films the measurement of the current-time curve does not allow for a direct determination of the nucleus growth law, electrode surface coverage and mean film thickness. In this work we present a theoretical approach suitable to gain insight into these quantities from the knowledge of nucleation density, solution parameters and current-time behavior.The model applies to both isotropic and anisotropic growth rates of nuclei and a study on the effect of nucleus shape and aspect ratio on the kinetics is presented. Experimental results from literature are also discussed in the framework of the present approach.

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“…Nowadays, the early analytical formulations of multiple nucleation [6e11] are extended (Figure 2a) to include prenucleation ion discharge [40,41], electrocatalytic reactions (proton reduction, etc.) on growing centers [40,41], mixed kinetics [41e43], and wetting angle [44]. Besides, more recently, a numerical model [38] and an analytical approximation [39] have been developed for mixed kinetics.…”

Section: Recent Advances In Analytical and Numerical Modeling Of Elecmentioning

confidence: 99%

Current atomic-level understanding of electrochemical nucleation and growth on low-energy surfaces

Ustarroz

2020

Current Opinion in Electrochemistry

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This review presents recent progress in the understanding of electrochemical phase formation on low-energy substrates, which is essential for metal electrodeposition and the design of stable batteries. Advanced characterization techniques and ultrasensitive electrochemical instrumentation give access to experimental data that were not available a few years back. Besides, the continuous development of theoretical models gradually provides a more complete description of multiple nucleation. However, important contradictions between experimental findings and theoretical formulations are found: nonclassical growth pathways, single-atom critical clusters, and cluster densities that are orders of magnitude higher than the calculated number of active sites. New descriptions of the initial steps of nucleation are discussed. They are grounded on nucleation being a nonactivated process, in which the initial stages of phase formation could involve simply adsorbed atoms collapsing into larger clusters driven by minimization of the overall interfacial energy. Finally, some remaining challenges and possible research directions are outlined.

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The current transient for nucleation and diffusion-controlled growth of spherical caps

Cited by 20 publications

References 17 publications

Kinetic- versus Diffusion-Driven Three-Dimensional Growth in Magnesium Metal Battery Anodes

Kinetic- versus Diffusion-Driven Three-Dimensional Growth in Magnesium Metal Battery Anodes

Kinetics of island growth in the framework of “planar diffusion zones” and “3D nucleation and growth” models for electrodeposition

Current atomic-level understanding of electrochemical nucleation and growth on low-energy surfaces

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