The geometrical effects of Bi and Bi
0.88Sb
0.12 poly-crystals on the cooling temperature were investigated at room temperature for a magneto-Peltier (MP) device and a combined magneto-Peltier and Ettingshausen (MP-EH) device, which are not in contact with a heat sink. The magnetic field is applied parallel and perpendicular to the thickness
t and width
W of each sample, respectively, and the temperature gradient is generated along the length
L by flowing an electrical current. The maximum cooling temperature at the cooled surface of both devices was measured without and with the magnetic field for various samples of different dimensions. As a result, it was found that in a combined MP-EH device the cooling temperature is very sensitive to the geometrical shape of the cross-section (
W ×
t) of a thermoelement, while in an MP device it depends significantly on the size of the cross-sectional area rather than the geometrical shape. The largest cooling temperature was achieved in an MP device when the thermoelement had an optimum cross-sectional area in which the Joule heating and the thermal conduction energies became equal. The cooling temperature of an MP device consisting of Bi
0.88Sb
0.12 with optimum dimensions slightly exceeded the cooling temperature of 5.7 K which was obtained for an ordinary
p-type Bi
2Te
3.
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