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Theory Table of Contents Cell Voltage OverVoltage
In addition to the reversible decomposition voltage and to the voltages to overcome the electrical resistance a supplementary voltage must be applied to execute the electrolysis process. Electrochemistry distinguishes two types of overvoltage:
The excess applied voltage makes the reactions especially the electron transfer at the electrodes proceed at an appropriate speed.
AlWeb and AlPrg calculate the Anodic Reaction Overvoltage (ηAR) according to the relations given by Warren Haupin [Lit. Equ. 24 to 27]:
(4.7.1A)
with
(4.7.1B)
Due to the slow mass transport of the reacting species a concentration gradient is built up around the electrodes. The additional concentration overvoltage is necessary to make the electroactive species migrate against this concentration gradient.
Concentration gradients in the electrolyte close to the anode produce concentration overvoltage. The concentration overvoltage is normally small about ηAC = 0.05-0.1V. At low alumina content however the concentration overvoltage increases until fluoride ions discharge (anode effect):
(4.7.2)
AlWeb and AlPrg calculate the critical current density (jcrit) according the Equ. 19 of [Lit.]. You find a similar relation in [Lit.] Equ. 13, p.145.
(4.7.3)
Similar to the anode the concentration gradients at the metal pad cathode produce the cathodic concentration overvoltage (ηCC). The relation is taken from [Lit.], Equ. 28:
(4.7.4)
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