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242    Cha pte r  S i x

               one electron-hole pair and so can contribute at most one electron to
               the external circuit. The absence of gain limits sensitivity and means
               that OPV devices are best compared to conventional (gain-free) pho-
               todiodes. The question arises, whether it might be possible to achieve
               gain in organic photodiodes under any circumstances. There have in
               fact been several reports of OPV devices that, when operated under
               reverse bias, show anomalously high photocurrents (see Refs. 61 and
               62 and references therein). In these devices, the change in current ΔI
               under illumination satisfies

                                         V −
                                                 V
                              ΔIV()  I light ()  I dark ()
                                   =                   ℜ            (6.68)
                               e            e

               where ℜ is the rate at which photons strike the device. In other words,
               under illumination, the current changes by an amount that massively
               exceeds eℜ, seemingly implying that more than one electron is gener-
               ated for each absorbed photon. This is shown in Fig. 6.25 for an





                                 10 4


                                 10 3
                                Multiplication (%)  10 2 1



                                 10
                 N   N
            CH 3        CH 3     10 0
               Bathocuproine
                                 10 –1
                   (a)
                                       400     500    600     700     800
                                                Wavelength (nm)
                                             0 V      –0.5 V   –1 V
                                             –1.5 V   –3 V     –4 V
                                             Absorption

                                                     (b)

          FIGURE 6.25  (a) The chemical structure of bathocuproine. (b) The apparent gain vs.
          emission wavelength in an ITO/PEDOT:PSS/pentacene/C60/bathocuproine/Al
          device under various reverse DC biases. (Reprinted with permission from Ref. 61.
          Copyright 2007, American Institute of Physics.) (See also color insert.)
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