Standard electrode potential
In electrochemistry, the standard electrode potential, abbreviated E^{o}, E^{0}, or E^{O} (with a superscript plimsoll character, pronounced nought), is the measure of individual potential of a reversible electrode (at equilibrium) at standard state, which is with solutes at an effective concentration of 1 mol/kg, and gases at a pressure of 1 bar( 1 atm (atmosphere) / 100 KPa (Kilopascals)). The values are most often tabularized at 25 °C. The basis for an electrochemical cell such as the galvanic cell is always a redox reaction which can be broken down into two halfreactions: oxidation at anode (loss of electron) and reduction at cathode (gain of electron). Electricity is generated due to electric potential difference between two electrodes. This potential difference is created as a result of the difference between individual potentials of the two metal electrodes with respect to the electrolyte.
Although the overall potential of a cell can be measured, there is no simple way to accurately measure the electrode/electrolyte potentials in isolation. The electric potential also varies with temperature, concentration and pressure. Since the oxidation potential of a halfreaction is the negative of the reduction potential in a redox reaction, it is sufficient to calculate either one of the potentials. Therefore, standard electrode potential is commonly written as standard reduction potential.
Calculation of standard electrode potentials
To overcome the difficulty of measuring the individual potential of an electrode, an electrode of unknown reduction potential can be paired with a reference electrode of a known potential. The ultimate reference is the standard hydrogen electrode (SHE) whose potential is defined to be exactly zero volts at all temperatures.
For example, to measure the standard reduction potential of zinc metal electrode, an electrochemical cell can be built with a zinc metal electrode (e.g. a zinc electrode immersed in 1 M ZnSO_{4} solution) as the anode. The anode halfreaction is then:
 Zn(s) → Zn^{2+}(aq,1 M) + 2e^{}
The SHE is used as the cathode and overall cell can be written in shorthand form:
 Zn(s)  Zn^{2+}(aq,1 M)  2H^{+}(aq,1 M)  H_{2}(g,1 bar)
Since the reduction halfreaction has a potential of zero, the EMF of the cell, E^{o}_{cell}, corresponds to the potential of the zinc metal electrode because:
 E^{o}_{cell}(0.76V)= E^{o}_{2H+}_{(aq) → H2(g)}(0V) + E^{o}_{Zn}_{(s) → Zn2+(aq)}(0.76V)
where the superscript ^{o} denotes that standard states are employed.
Since the electrode potentials are conventionally defined as reduction potentials, the sign of the potential for the metal electrode being oxidized must be reversed when calculating the overall cell potential. Note that the electrode potentials are independent of the number of electrons transferred and so the two electrode potentials can be simply combined to give the overall cell potential even if different numbers of electrons are involved in the two electrode reactions (more care is required if combining electrode potentials to derive a third electrode potential).
Standard reduction potential table
Since the values are given in their ability to be reduced, the bigger the standard reduction potentials, the easier they are to be reduced, in other words, they are simply better oxidizing agents. For example, F_{2} has 2.87 V and Li^{+} has 3.05 V. F_{2} reduces easily and is therefore a good oxidizing agent. In contrast, Li^{+} would rather undergo oxidation (hence a good reducing agent). Thus Zn^{2+} whose standard reduction potential is 0.76 V can be oxidized by any other electrode whose standard reduction potential is greater than 0.76 V (eg. H^{+}(0 V), Cu^{2+}(0.16 V), F_{2}(2.87 V)) and can be reduced by any electrode with standard reduction potential less than 0.76 V (eg. H_{2}(2.23 V), Na^{+}(2.71 V), Li^{+}(3.05 V)).
In a galvanic cell, where a spontaneous redox reaction drives the cell to produce an electric potential, Gibbs free energy ΔG^{o} must be negative, in accordance with the following equation:
 ΔG^{o}_{cell} = nFE^{o}_{cell}
where n is number of moles of electrons per mole of products and F is the Faraday constant, ~96485 C/mol. As such, the following rules apply:
 If E^{o}_{cell}> 0, then the process is spontaneous (galvanic cell)
 If E^{o}_{cell}< 0, then the process is nonspontaneous (electrolytic cell)
Thus in order to have a spontaneous reaction (ΔG^{o}), E^{o}_{cell} must be positive, where:
 E^{o}_{cell}= E^{o}_{anode} + E^{o}_{cathode}
where E^{o}_{anode} is the standard potential at the anode (reverse the sign of the standard reduction potential value for the electrode) and E^{o}_{cathode} is the standard potential at the cathode as given in the table of standard electrode potential.
Nonstandard condition
The standard electrode potentials are given at standard conditions. However, real cells may operate under nonstandard conditions. Given the standard potential of the halfcell, its potential at nonstandard effective concentrations can be calculated using the Nernst equation:
<math>E_{\text{halfcell}} = E^0  \frac{RT}{nF}\ln\frac{\{\text{red}\}}{\{\text{oxd}\}}</math>
The values of E^{0} depend on temperature (except for SHE, for which the potential has been, arbitrarily, declared 0 at all temperatures) and are normally referenced to the SHE at the same temperature. For condensed phases, they are also expected to depend somewhat on pressure (see the article on equilibrium constant). For example, the standard electrode potential for Ni/NiO redox couple has been well studied because such a solid has applications in hightemperature pseudoreference electrodes (when enclosed inside an yttriumstabilized zirconia ceramic membrane). The standard potential of Ni/NiO has been correlated for temperatures between 0 and 400 °C to be approximately^{[1]}:
 E^{0}(T) = 0.0003 T + 0.1414
where E^{0} is in volts, and T is in degrees Celsius.
In biochemistry, potentials are usually defined for pH 7, with the standard potential under these conditions being E^{o'}  also referred to as the midpoint potential or E_{m,7} because it is the potential at which the concentrations of the oxidised and reduced forms of the redox pair are equal.
The actual redox potential for a pair at a given pH of x (E_{h, pH = x}) is related to the midpoint potential by:
<math>E_{h,pH=x} = E_{m,pH=x}  \frac{2.3RT}{nF}\log_{10}\frac{[\text{red}]}{[\text{oxd}]}</math>
See also


Further reading
 Zumdahl, Steven S., Zumdahl, Susan A (2000) Chemistry (5th ed.), Houghton Mifflin Company. ISBN 0395985838
 Atkins, Peter, Jones, Loretta (2005) Chemical Principles (3rd ed.), W.H. Freeman and Company. ISBN 071675701X
 Zu, Y, Couture, MM, Kolling, DR, Crofts, AR, Eltis, LD, Fee, JA, Hirst, J (2003) Biochemistry, 42, 1240012408
 Shuttleworth, SJ (1820) Electrochemistry (50th ed.), Harper Collins.
External links
References
 ↑ R.W. Bosch, D.Feron, and J.P. Celis, "Electrochemistry in Light Water Reactors", CRC Press, 2007.
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