Electrodeposition mathematical modelling

Verbrugge MW, Tobias CW (1985) A mathematical model for the periodic electrodeposition of multicomponent alloys. J Electrochem Soc 132 1298-1307... 

Effects that cause non-uniformity in patterned electrodeposition of microscopic features are the subject of J. O. Dukovic s chapter. Mathematical models are used to identify process conditions which lead to flat profiled features of uniform height needed in electronic components. The emergence of computer-aided-design tools for electrochemical microfabrication is discussed. 

Podlaha EJ, Landolt D (1996) Induced codeposition II. A mathematical model describing the electrodeposition of Ni-Mo alloys. J Electrochem Soc 143 893-899... 

Studies on the behavior of the lead dioxide electrode [21], the oxidation of silver sulfate to silver oxide [22], the kinetics of electrocrystallization of thin films of calomel [23] and the electrodeposition of nickel [24], as well as the concepts and applications of micrometer-sized electrodes [25], stand as pioneering research concerning nudeation and growth problems. Wisely designed experimental procedures combined with mathematical models recognizing the chemical nature of the problem led to many new insights. 

The formation of disperse metal electrodeposits is discussed by the consideration of corresponding physical and mathematical models. It is shown that the mechanisms of formation of all different forms can be elucidated by the use of conclusions of a few classic works in the field of metal electrodeposition making a general theory of disperse metal electrodeposits formation. 

Smith et al. [67] studied the Zn electrodeposition from deep eutectic solvents (DES) by an AFM-EQCM system. The DES chosen in this study were the solvents based on a eutectic mixture of choline chloride (ChCl) and ethylene glycol (EG). The peculiarity of the DES is their very high viscosity at room temperature when compared to that of water. The authors proved by combining chronoamperometry, AFM, and EQCM techniques that the initial phases of Zn nucleation from DES resemble the 3D progressive model, as described mathematically by Sharifker and Hills [68]. 

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