An electrode is an electrical conductor used to make contact with a nonmetallic part of a circuit (e.g. a semiconductor, an electrolyte, a vacuum or a gas). In electrochemical cells, electrodes are essential parts that can consist of a variety of materials (chemicals) depending on the type of cell. An electrode may be called either a cathode or anode according to the direction of the electric current, unrelated to the potential difference between electrodes.
Michael Faraday coined the term "" in 1833; the word recalls the Greek ἤλεκτρον ( ḗlektron, "amber") and ὁδός ( hodós, "path, way").
The Electrophorus, invented by Johan Wilcke in 1762, was an early version of an electrode used to study static electricity.
Anode and cathode in electrochemical cells
Electrodes are an essential part of any
Electric battery. The first electrochemical battery was devised by
Alessandro Volta and was aptly named the
Voltaic cell.
[Bellis, Mary. Biography of Alessandro Volta – Stored Electricity and the First Battery.] This battery consisted of a stack of
copper and
zinc electrodes separated by
brine-soaked paper disks. Due to fluctuation in the voltage provided by the voltaic cell, it was not very practical. The first practical battery was invented in 1839 and named the
Daniell cell after John Frederic Daniell. It still made use of the zinc–copper electrode combination. Since then, many more batteries have been developed using various materials. The basis of all these is still using two electrodes,
and
.
Anode
'Anode' was coined by
William Whewell at
Michael Faraday's request, derived from the
Greek language words ἄνο (ano), 'upwards' and ὁδός (hodós), 'a way'.
The anode is the electrode through which the conventional current enters from the electrical circuit of an electrochemical cell (battery) into the non-
cell. The
/ref> The electrons flow away from the anode and the conventional current towards it. From both can be concluded that the electric potential of the anode is negative. The electron entering the anode comes from the
Redox reaction that takes place next to it.
Cathode
The cathode is in many ways the opposite of the anode. The name (also coined by Whewell) comes from the Greek words κάτω (kato), 'downwards' and ὁδός (hodós), 'a way'. It is the positive electrode, meaning the electrons flow from the electrical circuit through the cathode into the non-metallic part of the electrochemical cell. At the cathode, the reduction reaction takes place with the electrons arriving from the wire connected to the cathode and are absorbed by the
oxidizing agent.
Primary cell
A
primary cell is a battery designed to be used once and then discarded. This is due to the electrochemical reactions taking place at the electrodes in the cell not being reversible. An example of a primary cell is the discardable
alkaline battery commonly used in flashlights. Consisting of a zinc anode and a manganese oxide cathode in which ZnO is formed.
The half-reactions are:
- Zn(s) + 2OH−(Aqueous solution) → ZnO(s) + H2O(l) + 2e− E0oxidation
- 2MnO2(s) + H2O(l) + 2e− → Mn2O3(s) + 2OH−(aq) E0reduction
Overall reaction:
- Zn(s) + 2MnO2(s) ZnO(s) + Mn2O3(s) E0total
The ZnO is prone to clumping and will give less efficient discharge if recharged again. It is possible to recharge these batteries but is due to safety concerns advised against by the manufacturer. Other primary cells include zinc–carbon, zinc–chloride, and lithium iron disulfide.
Secondary cell
Contrary to the primary cell a secondary cell can be recharged. The first was the lead–acid battery, invented in 1859 by French physicist Gaston Planté. This type of battery is still the most widely used in automobiles, among others.
The cathode consists of
lead dioxide (PbO2) and the anode of solid lead. Other commonly used rechargeable batteries are nickel–cadmium, nickel–metal hydride, and
Lithium-ion. The last of which will be explained more thoroughly in this article due to its importance.
Marcus's theory of electron transfer
Marcus theory is a theory originally developed by Nobel laureate Rudolph A. Marcus and explains the rate at which an electron can move from one chemical species to another,
for this article this can be seen as 'jumping' from the electrode to a species in the solvent or vice versa.
We can represent the problem as calculating the transfer rate for the transfer of an electron from donor to an acceptor
- D + A → D+ + A−
The potential energy of the system is a function of the translational, rotational, and vibrational coordinates of the reacting species and the molecules of the surrounding medium, collectively called the reaction coordinates. The abscissa the figure to the right represents these. From the classical electron transfer theory, the expression of the reaction rate constant (probability of reaction) can be calculated, if a non-adiabatic process and parabolic potential energy are assumed, by finding the point of intersection (). One important thing to note, and was noted by Marcus when he came up with the theory, the electron transfer must abide by the law of conservation of energy and the Frank-Condon principle.
Doing this and then rearranging this leads to the expression of the free energy activation () in terms of the overall free energy of the reaction ().
In which the is the reorganisation energy.
Filling this result in the classically derived Arrhenius equation
leads to
with A being the pre-exponential factor, which is usually experimentally determined, although a semi-classical derivation provides more information as is explained below.
This classically derived result qualitatively reproduced observations of a maximum electron transfer rate under the conditions . For a more extensive mathematical treatment one could read the paper by Newton. An interpretation of this result and what a closer look at the physical meaning of the one can read the paper by Marcus.
The situation at hand can be more accurately described by using the displaced harmonic oscillator model, in this model quantum tunneling is allowed. This is needed in order to explain why even at near-zero absolute temperature there are still electron transfers,[DeVault, D. (1984) Quantum Mechanical Tunneling in Biological Systems; Cambridge University Press: Cambridge.] in contradiction with the classical theory.
Without going into too much detail on how the derivation is done, it rests on using Fermi's golden rule from time-dependent perturbation theory with the full Hamiltonian of the system. It is possible to look at the overlap in the wavefunctions of both the reactants and the products (the right and the left side of the chemical reaction) and therefore when their energies are the same and allow for electron transfer. As touched on before this must happen because only then conservation of energy is abided by. Skipping over a few mathematical steps the probability of electron transfer can be calculated (albeit quite difficult) using the following formula