In general, four processes are occurred within the active layer of photovoltaic devices upon the absorption of photon energy, including (a) exciton generation due to the photon harvesting, (b) diffusion of excitons toward the donor-acceptor interface, (c) generation of free charge carriers because of exciton dissociation, and (d) transport of charge carriers and charge collection by the respective electrodes [41]. Each step has a crucial impact on the device performance, and the most essential photovoltaic parameter defining the solar cells efficiency is the photocurrent density \(\left({J}_{ph}\right)\), which is described in terms of photon to free electronic charge conversion. Therefore, due to the absorption of photons at the donor-acceptor interface, intramolecular singlet excitons are generated as a result of charge transfer (CT) in the active medium, thereby moving the free electrons and holes toward their respective electrodes [36, 42]. As such, four possible transport models for ternary organic solar cells were reported in literature, namely charge transfer, energy transfer, parallel-linkage, and alloy model [43–45]. To this end, the spectral studies might reveal further significant information on the photocurrent density \(\left({J}_{ph}\right)\) and it is related to the incident photon flux \(G\left(\lambda \right)\) and absorption spectrum A(λ), which is a wavelength dependent function and is defined by the number of charges leaving the electrodes per second with respect to the incident optical power for the solar spectrum (see Eq. 1).
Alternatively, in the device efficiency, both irradiance and cell area can be taken into account according to Eq. 2 [28]:
$$\eta =\frac{{P}_{out}}{{P}_{in}}=\frac{FF\times {V}_{oc}\times {I}_{sc}}{S\times A}\dots \dots \dots .\left(2\right)$$
where \(FF\) is the fill factor,\({V}_{oc}\)is open circuit voltage, and \({I}_{sc}\) is the short circuit current. In this context, the efficiency of the photovoltaic device is directly proportional to the incident optical power and the photocurrent. Figure 2(a) shows the absorbance spectra of the ternary system when the dye ratios have been changed. Consequently, one can assess the photogenerated current from absorbance spectra and spectral irradiance using Eq. 1, thereby integrating the absorption profile, as depicted in Fig. 2(b) in the wavelength range from 280 to 650 nm, which is the active absorption range of interest for our investigated samples. Herein, a linear relation perceived between the estimated photogenerated current and area under the curve of the absorption spectra with the change of the dye ratio, as can be seen in Fig. 3. A substantial change in the absorbance spectra was observed at the low ratio of beetroot when it was blended with P(TRI-co-TER):PINDOLE, while at the upper volume ratio, the spectrum was slightly changed. Thus, it can be difficult to select a broad spectrum which covers as the highest possible range of wavelength at the given dye ratio. Therefore, finding AUC by the integration of absorption profile can be a very good approach to find the best ratio of the dye. Noteworthy, the occurrence of a linear relation between the AUC and Jph validates our proposed approach, by which the active layer can be optimized from the estimated AUC.
To estimate the optimal acceptor ratio for the ternary system, the content of the natural dye was fixed at the optimum value then the acceptor ratio was changed and the absorbance data were measured, as shown in Fig. 4(a). Nevertheless, no significant change was observed for the absorbance and absorption profile spectra (Fig. 4(b)) so that they can be directly used to choose the optimum value of the acceptor ratio. Alternatively, area under the curve (AUC) of the absorption profile was calculated at each acceptor content, as shown in Fig. 5. Consequently, the optimum content of the acceptor, at which the system is capable of providing the highest Jph, was assigned to be 2.05, while for the all three components are given in Table 1.
Table 1
The optimum ratio of the acceptor and natural dye in the ternary Beetroot dye:P(TRI-co-TER):PINDOLE system.
Ternary System
|
Donor ratio
|
Dye ratio
|
Acceptor ratio
|
P(TRI-co-TER): Beetroot: PINDOLE
|
1
|
1.9
|
2.05
|