Thermal efficiency of a thermocell made of Prussian blue analogues

Abstract

<jats:title>Abstract</jats:title><jats:p>Recently, it was reported that a thermocell can convert temperature into electric energy by using the difference in the thermal coefficient (<jats:italic>α</jats:italic> = d<jats:italic>V</jats:italic>/d<jats:italic>T</jats:italic>) of the redox potential (<jats:italic>V</jats:italic>) between the cathode and anode materials. Among battery materials, Prussian blue analogues (PBAs) are promising materials for thermocell, because <jats:italic>α</jats:italic> changes from approximately −0.3 mV/K in Na<jats:sub><jats:italic>x</jats:italic></jats:sub>Mn[Fe(CN)<jats:sub>6</jats:sub>]<jats:sub>0.83</jats:sub> 3.5 H<jats:sub>2</jats:sub>O (NMF83) to approximately 1.3 mV/K in Na<jats:sub><jats:italic>x</jats:italic></jats:sub>Co[Fe(CN)<jats:sub>6</jats:sub>]<jats:sub>0.9</jats:sub>2,9H<jats:sub>2</jats:sub>O (NCF90). In this work, we systematically investigated the thermal efficiency (<jats:italic>η</jats:italic>) of the NMF83/NCF90 thermocell relative to the difference (Δ<jats:italic>T</jats:italic>) between low (<jats:italic>T</jats:italic><jats:sub>L</jats:sub> = 282 K) and high (<jats:italic>T</jats:italic><jats:sub>H</jats:sub> = 292–338 K) temperatures. We found that the thermal efficiency (<jats:italic>η</jats:italic>) increased proportionally with Δ<jats:italic>T</jats:italic>. The linear increase in <jats:italic>η</jats:italic> is ascribed to the linear increase in the cell voltage (<jats:italic>V</jats:italic><jats:sub>cell</jats:sub>) and the charge (<jats:italic>Q</jats:italic><jats:sub>NCF90</jats:sub>) extracted from NCF90. Moreover, <jats:italic>η</jats:italic> reached 3.19% at Δ<jats:italic>T</jats:italic> = 56 K, which corresponds to 19% of the Carnot efficiency (<jats:italic>η</jats:italic><jats:sub>carnot</jats:sub> = 17.0%). We further confirmed that the magnitude of <jats:italic>Q</jats:italic><jats:sub>NCF90</jats:sub> is quantitatively reproduced by the slopes of the discharge curves of NMF83 and NCF90.</jats:p>

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