Autores
Conceição, V.S. (INSTITUTE OF CHEMISTRY, UNIVERSITY OF SÃO PAULO)  ; Bertotti, M. (INSTITUTE OF CHEMISTRY, UNIVERSITY OF SÃO PAULO)
Resumo
Quantitative analytical methods free of reagents, washing, or calibration steps 
contributing to the minimization of waste generation are very attractive. 
Accordingly, this work proposes a proof-of-concept study toward quantitative 
determinations with a microelectrode through only one single chronoamperogram. A 
thickener was added to potassium ferricyanide solutions to change the viscosity 
and mimic a complex sample medium. The concentration values calculated using the 
proposed calibration-free method were in satisfactory agreement with the 
theoretical value (maximum deviation of 9.8%). Hence this seems to be a simple and 
promising method to obtain reliable and quantitative information without 
calibration protocols.
Palavras chaves
calibration-free; microelectrodes; electrochemical
Introdução
Analytical methods are fundamental for getting quantitative information regarding 
chemical species in environmental compartments and foods (SKOOG et al., 2006). 
Quantitative analyzes usually require calibration curves, resulting in excessive
use of reagents, waste generation, and long time. In more complex matrices, using 
calibration plots may lead to more significant analytical errors. A possibility to 
circumvent such a problem relies on direct methods, such as coulometry and 
gravimetry. However, these methods are sensitive to the presence of contaminants 
and require long analysis times to ensure that the target analyte undergoes the 
reaction of interest. The interferent removal to isolate the analyte can be 
accomplished by using separation, extraction, and purification methods, which are 
slow and require the use of organic solvents that are harmful to the environment 
and to life (MOTSHAKERI et al., 2019). Taking these aspects into account, we show 
in this work our efforts in the attempt to develop an easy quantitative 
electrochemical method that does not depend on extended analysis time and is 
calibration-free.
Material e métodos
Microelectrode manufacturing: The microelectrodes were homemade by 
attaching a commercial carbon microfiber (r = 5 μm) to a nickel-chromium wire 
using silver glue. The microfiber was inserted into a 100 μL micropipette 
plastic tip. To ensure electrical contact between the nickel-chromium wire and 
the microfiber and to avoid any damage, carbon black was also added inside the 
micropipette. The micropipette was then completely filled with Araldite epoxy 
glue, and the system was sealed with parafilm. Preparation of solutions: 
Potassium ferricyanide (K3[Fe(CN)6]) solutions of well-
known concentrations were carefully prepared in 1.0 M KCl medium. Ethylene 
glycol thickener was added to the solutions (10% (v/v)) to simulate a different 
chemical environment, as the response in electrochemical measurements (current) 
depends on the viscosity. The solutions were prepared from analytical grade 
reagents dissolved in deionized water (processed in a Nanopure Infinity system, 
Barnstead). Potassium chloride and potassium ferricyanide were purchased from 
Sigma-Aldrich® and ethylene glycol from Vetec®. Electrochemical Measurements:
 All experiments were performed using an AUTOLAB PGSTAT128N potentiostat 
(Metrohm Brazil). The electrochemical experiments were carried out in a typical 
cell with three electrodes: work, reference, and platinum wire counter 
electrode. All potentials are reported against a Ag/AgCl (saturated KCl) 
reference electrode prepared by electrodeposition of AgCl on a silver wire, 
which was then placed in a micropipette tip containing a KCl saturated solution.
Resultado e discussão
Microelectrode radius: Figure 1 shows the optical microscopy image of a 
carbon fiber disk microelectrode. The microelectrode radius value was found to 
be 5.27 μm. Development of the calibration-free method: The proposed 
calibration-free method relies on the measurement of the steady-state current 
(IL) at a disc microelectrode, as follows: IL = 4nFDCr 
(Equation 1) where F is the Faraday constant, D is the diffusion coefficient, n 
is the number of electrons involved in the electron-transfer step, C is the bulk 
concentration of the electroactive species, and r is the radius of the 
microelectrode. The radius value can be precisely determined by optical 
microscopy or electrochemical methods – instead of using the value provided by 
the manufacturer - and the n value can be obtained through knowledge of the 
electrochemical reaction. Information on the diffusion coefficient is difficult 
to obtain since D depends on the sample medium. However, such value can be 
extracted from the chronoamperogram based on a methodology proposed by Denuault 
and coauthors (1991). The linearization of the transient region in the 
chronoamperogram (current (i/t) normalized by the steady-state 
current (IL) as a function of t-½) (Figure 2) allows 
calculating the diffusion coefficient (D) according to the expression: D = 
πr2/16S2 (Equation 2) where S is the slope of the straight 
line (inset of Figure 2). Taking into account the calculated diffusion 
coefficient and by using Equation 1, the concentration of the target analyte can 
be easily determined. In short, all parameters necessary to calculate the 
analyte concentration are taken from only one chronoamperometric experiment, 
without the need for a calibration curve since IL and D are obtained 
by chronoamperometry, r is a geometric value, F is a constant, and the number of 
electrons (n) is defined based on the redox process involving the species of 
interest. Concentration: From the information obtained by 
chronoamperometry, the concentration of the electroactive species was 
determined, as shown in Table 1 (n = 5 independent experiments). The 
concentration values found are within an acceptable error, less than 10%. The 
calibration-free methodology allows calculating the diffusion coefficient using 
Equation 2. For the experimental conditions of this experiment (1 M KCl; 10% 
ethylene glycol), the diffusion coefficient found for ferricyanide was (5.3±0.2) 
x 10-6 cm2 s-1. Such a value is lower than the 
one in pure aqueous solution (6.32 x 10-6 cm2 
s-1 in 1 M KCl) (ADAMS, 1969), which is expected considering the 
increase in the viscosity.

Figure 1 - Optical microscopy image of a carbon microelectrode (400x)

Figure 2 -Chronoamperometry in 4.0 mM ferricyanide (in 1.0 M KCl) with 10% (v/v) of thickener. E = -0.1 V.Inset: Linearization of the transient region
Conclusões
The proof-of-concept experiments yielded satisfactory results in good agreement 
with the expected values. Therefore, the presented method has great potential to 
be applied in the quantitative determination of electroactive chemical species. In 
addition to optimizing the process, since the chronoamperometry analysis is 
performed in less than 1 min, the proposed methodology contributes to Green 
Chemistry by minimizing the reagents and waste disposal from solutions used to 
perform calibration plots.
Agradecimentos
The authors would like to thank the São Paulo State Research Foundation (FAPESP 
2018/08782-1), the National Council for Scientific and Technological Development 
(CNPq) and CAPES (CODE - 0561/2021) for the generous funding.
Referências
ADAMS, R.N. Electrochemistry at Solid Electrodes. Marcel Dekker. New York, 1969.
SKOOG, D.A.; WEST, D.M.; HOLLER, J.; CROUCH, S.R. Fundamentos de Química Analítica. Tradução da 8ª edição norte-americana. Editora Thomson, p. 2, 2006.
Denuault, G; Mirkin, M.V., Bard, A.J. Direct Determination of Diffusion Coefficients by Chronoamperometry at Microdisk Electrodes. Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, 308, p. 1-2, 1991.
MOTSHAKERI, M.; PHILLIPS, A. R.J.; KILMARTIN, P. A. Application of Cyclic Voltammetry to Analyse Uric Acid and Reducing Agents in Commercial Milks. Food Chemistry, v. 293, p. 23-31, 2019.








