Thomson effect is related to the emf that develops between two parts of the single metal when they are at different temperature
Thus Thomson effect is the absorption or evolution of heat along a conductor when current passes through it when one end of the conductor is hot and another is cold
If two parts of the metal are at small temperature difference dT ,then the electric potential difference is proportional to dT
dV α dT
or
dV=σdT
where σ is the constant of proportionality and is known as Thomson coefficient
Peltier coefficient and Thomson coefficient are related to thermo-power according to following relations
π=Ts=T(dE/dT)
and σ =-T(ds/dT)=-T(d2E/dT2)
We have seen that all the three effects are defined in terms of three coefficient namely Seaback,Peltier and Thomson coefficient but the basic quantity is thermo-power which is the rate of change of thermo-emf with temperature