Generalized thermoelectric Thomson relations

Thermoelectric Thomson relations interrelating the Seebeck, Peltier and Thomson coefficients were generalized for anisotropic thermoelectric media in magnetic field with regard for possible Umkehr effect. From the restrictions imposed by space and time symmetry on the properties of anisotropic media in magnetic field it was shown that the first Thomson relation relating the generalized Peltier coefficient Π* to the generalized Seebeck coefficient α* is of the form differing from the Thomson formula for isotropic media. The second Thomson relation was also generalized for anisotropic thermoelectric materials in magnetic field. It was shown that odd with respect to magnetic field Thomson effect can originate in thermoelement material even if thermoelectric coefficient of the material is temperature independent.