Chronoamperometry
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Chronoamperometry is an electrochemical technique in which the potential of the
working electrode The working electrode is the electrode in an electrochemical system on which the reaction of interest is occurring. The working electrode is often used in conjunction with an auxiliary electrode, and a reference electrode in a three electrode sys ...
is stepped and the resulting current from faradaic processes occurring at the electrode (caused by the potential step) is monitored as a function of time. The functional relationship between current response and time is measured after applying single or double potential step to the working electrode of the electrochemical system. Limited information about the identity of the electrolyzed species can be obtained from the ratio of the peak oxidation current versus the peak reduction current. However, as with all pulsed techniques, chronoamperometry generates high charging currents, which decay exponentially with time as any RC circuit. The Faradaic current - which is due to electron transfer events and is most often the current component of interest - decays as described in the
Cottrell equation In electrochemistry, the Cottrell equation describes the change in electric current with respect to time in a controlled potential experiment, such as chronoamperometry. Specifically it describes the current response when the potential is a step f ...
. In most electrochemical cells this decay is much slower than the charging decay-cells with no supporting electrolyte are notable exceptions. Most commonly a three electrode system is used. Since the current is integrated over relatively longer time intervals, chronoamperometry gives a better signal to noise ratio in comparison to other amperometric techniques. There are two types of chronoamperometry that are commonly used, controlled-potential chronoamperometry and controlled-current chronoamperometry. Before running controlled-potential chronoamperometry, cyclic voltametries are run to determine the reduction potential of the analytes. Generally, chronoamperometry uses fixed area electrodes, which is suitable for studying electrode processes of coupled chemical reactions, especially the reaction mechanism of organic electrochemistry.


Example

Anthracene Anthracene is a solid polycyclic aromatic hydrocarbon (PAH) of formula C14H10, consisting of three fused benzene rings. It is a component of coal tar. Anthracene is used in the Economic production, production of the red dye alizarin and other dyes ...
in deoxygenated
dimethylformamide Dimethylformamide is an organic compound with the formula ( CH3)2NC(O)H. Commonly abbreviated as DMF (although this initialism is sometimes used for dimethylfuran, or dimethyl fumarate), this colourless liquid is miscible with water and the majo ...
(DMF) will be reduced (An + e− -> An−) at the electrode surface that is at a certain negative
potential Potential generally refers to a currently unrealized ability. The term is used in a wide variety of fields, from physics to the social sciences to indicate things that are in a state where they are able to change in ways ranging from the simple re ...
. The reduction will be diffusion-limited, thereby causing the
current Currents, Current or The Current may refer to: Science and technology * Current (fluid), the flow of a liquid or a gas ** Air current, a flow of air ** Ocean current, a current in the ocean *** Rip current, a kind of water current ** Current (stre ...
to drop in time (proportional to the diffusion gradient that is formed by diffusion). You can do this experiment several times increasing electrode potentials from low to high. (In between the experiments, the solution should be stirred.) When you measure the current i(t) at a certain fixed time point Ï„ after applying the voltage, you will see that at a certain moment the current i(Ï„) does not rise anymore; you have reached the mass-transfer-limited region. This means that anthracene arrives as fast as diffusion can bring it to the electrode.


History

In 1902, F. G. Cottrell deduced the linear diffusion on a planar electrode according to the diffusion law and
Laplace transform In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace (), is an integral transform In mathematics, an integral transform maps a function from its original function space into another function space via integra ...
, and obtained the
Cottrell equation In electrochemistry, the Cottrell equation describes the change in electric current with respect to time in a controlled potential experiment, such as chronoamperometry. Specifically it describes the current response when the potential is a step f ...
: i=\frac , where i is the current in amps, n is the number of electrons, F is
Faraday constant In physical chemistry, the Faraday constant, denoted by the symbol and sometimes stylized as ℱ, is the electric charge per mole of elementary charges. It is named after the English scientist Michael Faraday. Since the 2019 redefinition of S ...
, A is the area of the planar electrode in cm2, C0 is the initial concentration of the analyte in mol/cm3. D is the
diffusion coefficient Diffusivity, mass diffusivity or diffusion coefficient is a proportionality constant between the molar flux due to molecular diffusion and the gradient in the concentration of the species (or the driving force for diffusion). Diffusivity is enco ...
for species in cm2/s, t is the time in s. Under controlled-diffusion circumstances, the current-time plot reflects the concentration gradient of the solution near the electrode surface. The current is directly proportional to the concentration at the electrode surface. In 1922,
Jaroslav Heyrovský Jaroslav Heyrovský () (December 20, 1890 – March 27, 1967) was a Czech chemist and inventor. Heyrovský was the inventor of the polarographic method, father of the electroanalytical method, and recipient of the Nobel Prize in 1959 for his ...
reiterated the chronoamperometric method when he invented the polarographic method. It can use the basic circuit of the polarograph. To connect the fast recorder or
oscilloscope An oscilloscope (informally a scope) is a type of electronic test instrument that graphically displays varying electrical voltages as a two-dimensional plot of one or more signals as a function of time. The main purposes are to display repetiti ...
, the
dropping mercury electrode A liquid metal electrode is an electrode that uses a liquid metal, such as mercury, Galinstan, and NaK. They can be used in electrocapillarity, voltammetry, and impedance measurements. Dropping mercury electrode The dropping mercury electrode ( ...
is not used, instead, the static electrodes such as suspended mercury, mercury poll or
platinum Platinum is a chemical element with the symbol Pt and atomic number 78. It is a dense, malleable, ductile, highly unreactive, precious, silverish-white transition metal. Its name originates from Spanish , a diminutive of "silver". Platinu ...
,
gold Gold is a chemical element with the symbol Au (from la, aurum) and atomic number 79. This makes it one of the higher atomic number elements that occur naturally. It is a bright, slightly orange-yellow, dense, soft, malleable, and ductile met ...
and
graphite Graphite () is a crystalline form of the element carbon. It consists of stacked layers of graphene. Graphite occurs naturally and is the most stable form of carbon under standard conditions. Synthetic and natural graphite are consumed on large ...
are used. In addition, the solution is not stirred. In the presence of the inert electrolytes, the mass transfer process is mainly diffusion. Jarroslav Herovsky derived the chronopotentiometric method from the Cottrell equation. Chronopotentiometry is an electrochemical method that can generate a stable current that can flow between two different electrodes.


Application


Controlled-potential (bulk) electrolysis

One of the application of chronoamperometry is controlled-potential (bulk) electrolysis, which is also known as potentiostatic coulometry. During this process, a constant potential is applied to the working electrode and current is monitored over time. The analyte in one oxidation state will be oxidized or reduced to another oxidation state. The current will decrease to the base line (approaching zero) as the analyte is consumed. This process shows the total charge (in coulomb) that flows in the reaction. Total charge (n value) is calculated by integration of area under the current plot and the application of the Faraday's law. The cell for controlled-potential (bulk) electrolysis is usually a two-compartment (divided) cell, contained a carbon rod auxiliary anode and is separated from the cathode compartment by a coarse glass frit and methyl cellulose solvent electrolyte plug. The reason for the two compartment cell is to separate cathodic and anodic reaction. The working electrode for bulk electrolysis could be a RVC disk, which has larger surface area to increase the rate of the reaction. Controlled-potential electrolysis is normally utilized with cyclic voltammetry. Cyclic voltammetry is capable to analyse the electrochemical behavior of the analyte or the reaction. For instance, cyclic voltammetry could tell us the cathodic potential of an analyte. Since the cathodic potential of this analyte is obtained, controlled-potential electrolysis could hold this constant potential for the reaction to happen.


Double potential step chronoamperometry

Double potential step chronoamperometry (DPSCA) is the technique whose working electrode is applied by the potential stepping forward for a certain period of time and backward for a period of time. The current is monitored and plotted with respect to time. This method starts with an induction period. In this period, several initial conditions will be applied to the electrochemical cell so that cell is able to equilibrate to those conditions. The working electrode potential will be held at the initial potential under these conditions for a specified period (i.e. usually 3 seconds). When the induction period is over, the working cells switch to another potential for a certain amount of time. After the first step is completed, the working electrode's potential will stepped back, usually to the potential prior to the forward step. The whole experiment ends with a relaxation period. Under this period, the default condition involves holding the working electrode potential of initial state for another approximate 1 seconds. When the relaxation period is over, the post experiment idle conditions will be applied to the cell so that the instrument can return to the idle state1. After plotting the current as a function of time, a chronoamperogram will occur and it can also be used to generate Cottrell plots.


Two methods from chronoanalysis


Chronopotentiometry

The application of chronopotentiometry could be derived into two parts. As an analytical method, the range of analysis is normally in the range of 10−4 mol/L to 10−2 mol/L, and sometimes it will be as accurate as 10−5 mol/L. When the analysis is in the extreme lower range of concentration, lower current density could be used. Also, to get the accurate concentration determination, the transition time could be extended. In this area of analysis determination, chronopotentiometry is similar to
polarography Polarography is a type of voltammetry where the working electrode is a dropping mercury electrode (DME) or a static mercury drop electrode (SMDE), which are useful for their wide cathodic ranges and renewable surfaces. It was invented in 1922 by C ...
. Waves that are separable in polarography is also separable in chronopotentiometry. Chronopotentiometry is an effective method to study electrode mechanism. Different electrode will have different relationship between E and t in the chronopotentiometry graph. In this situation, E is the electrode potential in voltage and t is the reaction time in seconds. By the method of studying the relationship between E and t in the chronopotentiometry graph, we can get the information of mechanisms of electrode reactions, such as the electrode reaction of
hydrogen peroxide Hydrogen peroxide is a chemical compound with the formula . In its pure form, it is a very pale blue liquid that is slightly more viscous than water. It is used as an oxidizer, bleaching agent, and antiseptic, usually as a dilute solution (3%†...
and
oxalic acid Oxalic acid is an organic acid with the systematic name ethanedioic acid and formula . It is the simplest dicarboxylic acid. It is a white crystalline solid that forms a colorless solution in water. Its name comes from the fact that early inve ...
. The chronopotentiometry experiment could be done in a very short time period, so it is a good method to study the adsorption behavior at the electrode surface. By studying the chronopotentiometry graph of electrode after adsorption of
iron Iron () is a chemical element with symbol Fe (from la, ferrum) and atomic number 26. It is a metal that belongs to the first transition series and group 8 of the periodic table. It is, by mass, the most common element on Earth, right in f ...
ions, it is proved that the adsorption of
platinum Platinum is a chemical element with the symbol Pt and atomic number 78. It is a dense, malleable, ductile, highly unreactive, precious, silverish-white transition metal. Its name originates from Spanish , a diminutive of "silver". Platinu ...
on iron ions exists. By studying the chronopotentiometry graph of platinum electrode adsorbing
iodine Iodine is a chemical element with the symbol I and atomic number 53. The heaviest of the stable halogens, it exists as a semi-lustrous, non-metallic solid at standard conditions that melts to form a deep violet liquid at , and boils to a vi ...
, it is proved that the adsorption of iodine occurs in the form of iodine molecules, not iodine atoms.


Chronocoulometry

Chronocoulometry is an analytical method that has similar principle with chronoamperometry, but it monitors the relationship between charge and time instead of current and time. Chronocoulometry has the following differences with chronoamperometry: the signal increases over time instead of decreasing; the act of integration minimizes noise, resulting in a smooth hyperbolic response curve; and contributions from double-layer charging and absorbed species are easily observed.


See also

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Electroanalytical methods Electroanalytical methods are a class of techniques in analytical chemistry which study an analyte by measuring the potential (volts) and/or current (amperes) in an electrochemical cell containing the analyte. These methods can be broken down into ...
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Electrochemical skin conductance Electrochemical skin conductance (ESC) is an objective, non-invasive and quantitative electrophysiological measure. It is based on reverse iontophoresis and (multiple) steady chronoamperometry (more specifically chronovoltametry). ESC is intend ...
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Potentiometric titration Potentiometric titration is a technique similar to direct titration of a redox reaction. It is a useful means of characterizing an acid. No indicator is used; instead the potential is measured across the analyte, typically an electrolyte solution. ...
*
Voltammetry Voltammetry is a category of electroanalytical methods used in analytical chemistry and various industrial processes. In voltammetry, information about an analyte is obtained by measuring the current as the potential is varied. The analytical data ...


References

{{Electroanalytical Electroanalytical methods