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## Conversion of ZT of a Thermoelectric to Refrigeration COP

$${COP_R} = \left( {\frac{{{T_c}}}{{{T_h} - {T_c}}}} \right)\left( {\frac{{\sqrt {1 + Z{T_m}} - {T_h}/{T_c}}}{{\sqrt {1 + Z{T_m}} + 1}}} \right)$$
where $$T_{c}$$ and $$T_{h}$$ are the cold and hot side temperatures of the thermoelectric, respectively (both in absolute temperatures!). The “T” in “ZT” is assumed to be the arithmetic average of the cold and hot temperatures.