Experimentally measured open-circuit voltage (Voc) as a function of bandgap (Eg) in PbS QD solar cells under 1 sun in air (closed circle). A linear fit to measured Voc values yields , where q is the electronic charge (e). In addition to the linear fit, previously reported literature Voc values are also plotted for comparison. These literature values were obtained from QD solar cells based on p-type PbS QDs employing three different types of junctions; (1) metal-QD Schottky junction (open circle)6,19,20,21,22,23; (2) p–n heterojunction using n-type wide bandgap metal oxides such as TiO2 or ZnO12,24,25,26,27, or n-type organic materials (C60 and PCBM)28,29 (open square); and (3) a recently introduced p–n homojunction using n-doped PbS QDs (closed triangle)30. The inset illustrates the energy-band diagram of the metal-p-type semiconductor junction at thermal equilibrium.