Madridge J Anal Sci Instrum.
ISSN: 2638-1532
47 Volume 2 • Issue 1 • 1000110
Madridge
Journal of Analytical Sciences and
Instrumentation
Research Article Open Access
General approach for quantitative description of
the Background Voltammograms
Nigmatullin RR
1
, Budnikov HC
2
, Sidelnikov AV
3
and Maksyutova EI
3
*
1
Radioelectronic and Informative-Measurements Techniques Department, Kazan National Research Technical University (KNRTU-KAI),
Kazan, Russia
2
Institute of Chemistry, Kazan Federal University (KFU), Kazan, Russia
3
Chemistry Department, Bashkir State University (BSU), Ufa, Russia
Article Info
*Corresponding author:
Elza I. Maksyutova
Department of Chemistry
Bashkir State University (BSU)
Ufa, Russia
Email: artsid2000@gmail.com,
elzesha@gmail.com
Received: October 25, 2017
Accepted: November 27, 2017
Published: December 2, 2017
Citation: Nigmatullin RR, Budnikov HC,
Sidelnikov AV, Maksyutova EI. General
approach for quantitative description of the
Background Voltammograms. Madridge J
Anal Sci Instrum. 2017; 2(1): 47-55.
doi: 10.18689/mjai-1000110
Copyright: © 2017 The Author(s). This work
is licensed under a Creative Commons
Attribution 4.0 International License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the
original work is properly cited.
Published by Madridge Publishers
Abstract
Based on the hypothesis related to fractal structure of electrode one can develop the
quantitative theory for description of the measured voltammograms (VAGs). We suppose
that at least two percolation channels take part in the process of its formation. One channel
can be associated with the fractal structure of electrodes while the second one can be
related to the heterogeneous structure of the double electric layer. Based on the obtained
fitting function that follows from the suggested theory it becomes possible to differentiate
the state of two measured electrodes (with regeneration or without application of this
procedure). This result obtained directly from the measured data can find a wide application
in electrochemistry for analysis of other VAGs, especially in detection of possible traces of
substances that take place in chemical reactions in the vicinity of heterogeneous electrodes.
Keywords: Electrochemistry; Quantitative Fractal Theory; Regenerated/No Regenerated
Electrodes; Self-Similar Voltammograms; Traces Detection.
List of abbreviations: BLC - bell-like curve, DEL - double electric layer, GCE - the glassy
carbon electrode, ECs - the eigen-coordinates method, LLSM - the linear least square
method, PD - potential distribution, VAG(s) - voltammogram(s).
Introduction and Formulation of the Problem
As it is known for detection of the limit of sensitivity of the presence of a substance by
electrochemical methods a researcher uses the series of measurements in the presence of
analyte (i.e. a blank experiment) or the background electrolyte. Detection of this signal
determines the minimal concentration of the electrolyte in the analyzed object [1]. Detection
of this signal gives a possibility (with some value of probability) to extract a useful signal
among random factors (noises) and based on the ratio signal/noise (S/N) to evaluate the
desired limit of detection. This limit can be evaluated in accordance with standard deviation
(dispersion of the background signal) using the ratio 3s
bg
/b, where b determines the sensor
sensitivity coefficient. The uncontrollable factors (noises) can have different origins. It can be
suppressed by chemical/instrumental methods [2,3] or based on some mathematical
methods, for example, with the help of projection method suggested by chemometrics [4].
The complete elimination of the background is impossible. Especially, it creates a big
problem in interpretation of complex multi-parametric data in the presence of multisensors.
To this problem one can refer, for example, the VAGs associated with electronic “tongue” [5].
For the increasing of electrochemical resolution many methods were suggested and
their descriptions one can find in paper [6]. However, even in the conditions of the well-
resolved peaks, the measured VAGs contain the background current component (for
ISSN: 2638-1532