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To describe the Peltier and Thomson effects we must consider the flow of energy.
This Thomson effect was predicted and subsequently observed by Lord Kelvin in 1851.
If a current density is passed through a homogeneous conductor, the Thomson effect predicts a heat production rate per unit volume of:
This relationship is easily shown given that the Thomson effect is a continuous version of the Peltier effect.
The Peltier-Seebeck and Thomson effects are thermodynamically reversible, whereas Joule heating is not.
The term "thermoelectric effect" encompasses three separately identified effects: the Seebeck effect, Peltier effect, and Thomson effect.
The Seebeck effect and two related phenomena (the Peltier effect and Thomson effect) are together called the "thermoelectric effect".
The Seebeck effect, Peltier effect, and Thomson effect can be gathered together in a consistent and rigorous way, described here; the effects of Joule heating and ordinary heat conduction are included as well.
Angelo Battelli (28 March 1862 - 11 December 1916) was an Italian scientist, notable for having measured temperatures and heats of fusion of non-metallic substances, metallic conductivities and thermoelectric effects in magnetic metals, and the Thomson effect.
Another unit like the Thermoelectric could be named a WHRU since they transform the change of heat between two plates directly into a small DC Power (Seebeck, Peltier, Thomson effects) which could be amplified to produce a usable electric power.