Advanced data analysis tools such as mathematical optimisation, Bayesian inference and machine learning have the capability to revolutionise the field of quantitative voltammetry.
Estimation
of parameters of interest in dynamic electrochemical
(voltammetric) studies is usually undertaken via heuristic or data
optimization comparison of the experimental results with theory based
on a model chosen to mimic the experiment. Typically, only single
point parameter values are obtained via either of these strategies
without error estimates. In this article, Bayesian inference is introduced
to Fourier-transformed alternating current voltammetry (FTACV) data
analysis to distinguish electrode kinetic mechanisms (reversible or
quasi-reversible, Butler–Volmer or Marcus–Hush models)
and quantify the errors. Comparisons between experimental and simulated
data were conducted across all harmonics using public domain freeware
(MECSim).
Large-amplitude
Fourier transform alternating current (FTAC) voltammetry
has been used to parameterize the electrode kinetics associated with
the reduction of α-[S2W18O62]4– in acetonitrile containing [n-Bu4N][PF6] as the supporting electrolyte at
glassy carbon (GC), gold (Au), and platinum (Pt) electrodes by experimenter-based
heuristic and computer-assisted automated approaches. The electron-transfer
kinetics described by the Butler–Volmer relationship are faster
at GC than at the metal electrodes. Progressively increasing departures
from ideality in the experimental versus simulated data comparisons
were found with reduction processes that occur at more negative potentials
and with higher electrolyte concentrations. Ion pairing between α-[S2W18O62]4– or its reduced
forms and the electrolyte cation may contribute to nonconformance
between theory and experiment. Electrochemical quartz crystal microbalance
experiments along with other experiments reveal that adsorption of
more extensively reduced species may modify the electrode surface
and contribute to the asymmetry found in the reduction and oxidation
components of the FTAC voltammetric data. Enhanced double-layer effect
at negative potentials could also explain why the level of nonideality
increases with reduction processes that occur at more negative potentials.
The findings in this study are expected to apply to the voltammetric
reduction of other negatively charged polyoxometalates.
The use of Deep Neural Networks (DNNs) for the classification of electrochemical mechanisms based on training with simulations of the initial cycle of potential have been reported. In this paper,...
This paper is dedicated to the memory of Jean-Michel SavéantUse of carefully designed computer supported parameterisation methods in voltammetric studies can provide highly robust and accurate methods for simultaneously quantifying the large number of parameters present in complex electrochemical reactions. In this study, a computer program has been developed to parameterise large amplitude AC voltammetric data using mathematical optimisation in combination with Bayesian inference algorithms for calculating posterior distributions of parameters and hence uncertainties in parameter values. The computer program has been applied to objective functions, relevant to total AC current, frequency domain data in the form of the power spectrum derived from Fourier transformation and multivariate based methods using the resolved harmonic data. The robustness of the objective functions have been confirmed and Bayesian inference methods have been validated using "noisy" synthetic and experimental data for the [Fe(CN) 6 ] 3À /4À reduction process in aqueous 3.0 M KCl electrolyte at a gold electrode. It was found that the harmonic based Bayesian inference methods outperformed other methods in parameterisation of the thermodynamics and electrode kinetics of the close to reversible [Fe(CN) 6 ] 3À /4À process due to their ability to compensate for non-ideality in the modelling and the superior parameter sensitivities available in the higher harmonics. The computer supported and heuristic methods were compared. Their advantages and limitations are discussed.
Yi-Lun Ying opened discussion of the introductory lecture by Justin Gooding: The nanointerface needs more comprehensive models to describe the interaction networks among water and ions. Would you please comment on how these models and understanding guide the applications of nanoelectrochemistry? Justin Gooding answered: This is a very difficult question which I don't think we know enough yet to give you a clear answer. What we do know is that with surfaces inside the substrate channels of our enzyme-like nanoparticles we have two to three layers of ice like water. Inside the channels that might mean that all the water is in an ice-like state. How this affects transport in the channel and the electrical double layer in electrochemical systems are big questions for us. Certainly, regarding transport, there is evidence for proton migration inside these channels and possibly sodium and potassium if they are present. But in our systems our materials are not well dened enough to tease out such effects. This was what my point was about regarding needing better dened materials to really understand the nature of the nanointerface in nanoparticle systems. There is however a lot of information we can extract from studies performed in the transport of species through nanochannels. I don't think we yet have an understanding though for case that I described where the nanochannels themselves are also reactive. 1,2
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