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Model Hierarchy to Reanalyze Results from an Archetypical Experiment on the Kinetics of Heterogeneous Nucleation – the Electrodeposition of Hg on Pt, by I. Markov and E. Stoycheva
Kleshtanova, V.; Ivanov, V.V.; Hodzhaoglu, F.; Prieto, J.E.; Tonchev, V. Heterogeneous Substrates Modify Non-Classical Nucleation Pathways: Reanalysis of Kinetic Data from the Electrodeposition of Mercury on Platinum Using Hierarchy of Sigmoid Growth Models. Crystals2023, 13, 1690.
Kleshtanova, V.; Ivanov, V.V.; Hodzhaoglu, F.; Prieto, J.E.; Tonchev, V. Heterogeneous Substrates Modify Non-Classical Nucleation Pathways: Reanalysis of Kinetic Data from the Electrodeposition of Mercury on Platinum Using Hierarchy of Sigmoid Growth Models. Crystals 2023, 13, 1690.
Kleshtanova, V.; Ivanov, V.V.; Hodzhaoglu, F.; Prieto, J.E.; Tonchev, V. Heterogeneous Substrates Modify Non-Classical Nucleation Pathways: Reanalysis of Kinetic Data from the Electrodeposition of Mercury on Platinum Using Hierarchy of Sigmoid Growth Models. Crystals2023, 13, 1690.
Kleshtanova, V.; Ivanov, V.V.; Hodzhaoglu, F.; Prieto, J.E.; Tonchev, V. Heterogeneous Substrates Modify Non-Classical Nucleation Pathways: Reanalysis of Kinetic Data from the Electrodeposition of Mercury on Platinum Using Hierarchy of Sigmoid Growth Models. Crystals 2023, 13, 1690.
Abstract
We employ hierarchy of models (HoM) with 2, 3 and 4 parameters to reanalyze the nucleation kinetics in the electrodeposition as quantified by n(t) - “the number of nuclei vs. time” data obtained at different overvoltages from precise experiments on electrodeposition of Hg on two different types of Pt-cathodes by Ivan V. Markov and Evgenia Stoycheva [1]. The obtained two scales, nmax and , are used to rescale the original data mapping it on a master curve in coordinates . Our main result is obtained by studying further the dependence of these two scales on the overvoltage (analogue of supersaturation). Surprisingly, for one of the two cathode types - the “hemispherical single-crystal electrode” (as defined by the authors), there is discontinuity in the “ vs. overvoltage” dependence – an almost horizontal jump from 85 to 86 mV accompanied by a change in the slope of the dependence - it is ~ -1 and ~ -0.5 after. For the other cathode - “plane structureless platinum electrode”, decreases smoothly. Combined, these two behaviors point at the so called “cusp catastrophe”. We compare our findings with published results on protein nucleation.
Keywords
n(t)-curves; modelling nucleation; Richards model, Model of Johnson-Mehl-Avrami-Kolmogorov; timescale of a phenomenon; cusp catastrophe
Subject
Physical Sciences, Chemical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
