Geometrical Structure.
Figure 2 represents the optimized structure of the reference (carminic acid) and the dyes modification by introducing subgroups. The carminic acid (CA) was first dye studded then; CA connected with an thiophene group (CA1), CA connected with pyridine (CA2), CA connected with benzenee (CA3), CA connected with methanol (CA4), CA connected with hydroxylamine (CA5), CA connected with N,N-di(l1-oxidaneyl)hydroxylamine (CA6), and CA connected with methylsulfanol (CA7) respectively. After optimization, the total energy (\({\text{E}}_{\text{T}}\)) for CA, CA1, CA2, CA3, CA4, CA5, CA6, and CA7 was − 0.288193, -0.1451779, -0.1585802, -0.3134708, -0.2396713, -0.214595, -0.233259, and − 0.250869 a.u, respectively. The bond length values for the dyes investigated were found in are in line with data of experiment [17], as follows: C-C = 1.4245 to 1.4245, C-H = 1.0768 to 1.0929, H-O = 0.9717 to 0.9880, O-C = 1.2625 to 1.3760, N-O = 1.1969 to 1.3605, S-C = 1.7234 to 1.7702 \({\text{A}}^{^\circ }\). All of the dyes investigated exhibit similar coplanar configuration, according to their relaxed geometries as seen in Fig. 2. This indicates that the coplanar molecule structure can enhance transfer of electrons from the donor to the acceptor.
Electronic Structures.
The distribution of sensitizer's frontier molecular orbitals (FMOs) is recognized to have a significant impact on charge transfer. The FMOs energy gap is a crucial characteristic of solar materials, where the PCE of solar cells is closely linked to FMOs energies and their energy band gaps. The open–circuit voltage and driving force for exciton dissociation are predicted by the energy gap. It also evaluates the chemical reactivity, dynamic stability, molecules' electron transport characteristics, chemical hardness, and softness [18]. To explore the impacts of functional groups on the electronic and optical properties of the examined dyes, the energy levels graph of HOMOs, LUMOs and energy gap of CA and CA1–CA7, TiO2 conduction band, and redox potential energy of the electrolyte are displayed in Fig. 3. The HOMO energy values are calculated to be; -5.9392, -5.0155, -5.0055, -5.0165, -5.0455, -5.0177, -5.0277 and − 5.0577 eV for CA and CA1–CA7 respectively. Calculated HOMOs of CA and CA1-CA7 are found to be below the redox potential (-4.8 eV), resulting in quick dye regeneration and avoiding geminate recombination process between oxidized dye molecules and photo-injected electrons in the TiO2 surface.
Also, the LUMO energy values for CA and CA1-CA7 are; -3.1170, -2.8898, -2.9954, -2.9975, -2.8754, -2.9628, -2.8823 and − 2.9942 eV correspondingly. It appears from the results of LUMOs of CA and CA1-CA7 are found above the TiO2 CBE (− 4.0 eV) providing the thermodynamic driving force for favourable electron injection from the excited state dye to the CBE edge of TiO2. The energy gap value of reference CA is found to be 2.8222 eV which is noted as highest value of band gap among the designed molecules CA1-CA7), where differs from 2.0100–2.1700 eV depending on the dye structures. The small energy gap in donor dyes aids in the generation of excitons and increases the efficiency of photo-excitation. Thus, all dyes have sufficient driving force for use as sensitizers in DSSCs and it is clear that the new dyes CA1-CA7 are better than the reference CA.
It is clear from Fig. 4 that the HOMO distribution is mainly on the left side of the dyes. The distribution of LUMOs, on the other hand, is primarily concentrated on the dyes' right side. the pattern of HOMOs and LUMOs shows that the HOMO-LUMO excitation has an intra-molecular charge transfer property and advantageous to an efficient solar cell. Because of this, there is a strong electronic connection between the dye's excited state and the semiconductor (TiO2) conduction band, allowing for easy electron injection, and a high location of the HOMO on the donor end reduces the possibility of charge transfer between the injected electrons and the oxidized dye. This means that the electronic structures of these dyes are favourable to the solar cells' high overall efficiency.
Optical Characteristics
Novel sensitizers that can absorb in the visible area with significantly increased absorption coefficients are also required in the development of organic dyes for DSSCs. To understand the electronic transitions of the dyes investigated in this study, TD-DFT/ B3LYP//6-311+G(d,p) simulations on electronic optical absorption were performed. Fig. 5 illustrates the estimated absorption spectra for CA and CA1-CA7 dyes. The wavelength longer than 300 nm was listed in Table 1 because the absorption in visible and near-UV areas is the most significant region for photo-to-current conversion.
The major peaks in the carminic acid spectrum are at 2.053eV/415.502nm and 2.984eV/603.648nm 2.96 eV, which is very close to the experimental value [19]. The main peak spectrum of the CA1-CA7 dyes displays red-shifted in comparison to CA in the following order (Table 1): CA1 (2.776eV at 446.611nm and 1.994eV at 621.770nm, CA2 (2.911eV at 425.912nm and 2.030eV at 610.641nm), CA3(2.646eV at 468.541nm and 2.030eV at 610.643nm), CA4(2.782eV at 445.552nm and 1.867eV at 663.791nm), CA5(3.880eV at 319.502nm, 3.021eV at 410.393nm and 2.499eV at 495.951nm), CA6(2.905eV at 2.905nm and 2.302eV at 538.583nm) and CA7(2.699eV at 459.252nm and 1.738eV at 713.072nm), with the major transition from the HOMOs to the LUMOs orbital. All absorption bands in the visible region are typical \({\pi }\to {{\pi }}^{\text{*}}\)or \(\text{n}\to {{\pi }}^{\text{*}}\) transitions. We note that the CA5 dye contains three main bundles, and this gives it the possibility of new transitions of importance. All dyes designed with high oscillator strength (f) compared to reference (CA), which means that they are more effective and efficient. The light harvesting efficiency (LHE) represents one of the important characteristics that determine the efficiency of dyes, that the higher its value, the more efficient and effective the dyes [6, 8]. We note that all values of LHE for the designed dye are high compared to carminic acid, and this means that the new structures led to an improvement and increase in the efficiency of these dyes. These dyes display strong charge transfer absorption bands in the visible region.
Table 1
The characteristics of absorption spectra for all designed dyes.
Dyes | Excited state | \({\text{E}}_{\text{e}\text{x}.}\) (eV) | \({\lambda }_{max.}\) (nm) | f | LHE | Main Transition | % | Type transition |
CA | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) | 2.984 2.053 | 415.502 603.648 | 0.234 0.073 | 0.4170.155 | HOMO→LUMO + 2 HOMO→LUMO | 86% 76% | \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
CA1 | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) | 2.776 1.994 | 446.611 621.770 | 1.129 1.034 | 0.9260.908 | H-1→LUMO HOMO→LUMO + 1 | 96% 90% | \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
CA2 | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) | 2.911 2.030 | 425.912 610.641 | 1.231 1.062 | 0.9410.913 | H-1→LUMO HOMO→LUMO | 87% 90% | \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
CA3 | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) | 2.646 2.030 | 468.541 610.643 | 1.218 1.091 | 0.9390.919 | H-2→LUMO HOMO→LUMO | 93% 86% | \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
CA4 | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) | 2.782 1.867 | 445.552 663.791 | 1.247 1.078 | 0.9430.916 | H-2→LUMO HOMO→L + 2 | 91% 89% | \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
CA5 | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) \({S}_{^\circ }\to {S}_{3}\) | 3.880 3.021 2.499 | 319.502 410.393 495.951 | 1.587 1.543 1.348 | 0.9740.9710.955 | HOMO→LUMO H-1→LUMO HOMO→L + 2 | 91% 86% 89% | \({\pi }\to {{\pi }}^{\text{*}}\) \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
CA6 | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) | 2.905 2.302 | 426.745 538.583 | 1.128 1.091 | 0.9260.919 | H-1→LUMO HOMO→LUMO | 93% 89% | \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
CA7 | \({S}_{^\circ }\to {S}_{1}\) \({S}_{^\circ }\to {S}_{2}\) | 2.699 1.738 | 459.252 713.072 | 1.287 1.072 | 0.9480.915 | H-1→L + 2 HOMO→LUMO | 94% 90% | \({\pi }\to {{\pi }}^{\text{*}}\) \(\text{n}\to {{\pi }}^{\text{*}}\) |
Photovoltaic Properties
The photo-electronic properties of the excited-state of dyes are essential for improving the photoelectric performance of DSSCs. In this study, The significant parameters of JSC are: the open-circuit voltage \({\text{V}}_{\text{o}\text{c}}\), the lowest energy absorption \({\text{E}}_{00}\), the oxidation potential energy \({\text{E}}_{\text{O}\text{X}}^{\text{d}\text{y}\text{e}}\), oxidation potential energy \({\text{E}}_{\text{O}\text{X}}^{{\text{d}\text{y}\text{e}}^{\text{*}}}\), free energy change \({{\Delta }\text{G}}_{\text{i}\text{n}\text{j}}^{^\circ }\), dye regeneration \({{\Delta }\text{G}}^{\text{r}\text{e}\text{g}\text{e}\text{n}}\) were calculated and listed in the Table 2 using formulas from a previous study [6–19]. It was found that the value of \({\text{V}}_{\text{O}\text{C}}\)for all the studied dyes ranged between 0.805to 1.739eV, and it should be noted that these values are positive and good. This indicates the ease of transfer of electrons from dyes to the TiO2 conduction band. As it appears from the results that the \({{\Delta }\text{G}}_{\text{i}\text{n}\text{j}}^{^\circ }\)values are negative for all studied dyes, and this indicates that the excited state of the designed dyes is above conduction band of TiO2. This means that the electron injection into the dyes will be spontaneous and preferring the electron injection from excited state of dye to the TiO2 conduction band. The \({{\Delta }\text{G}}^{\text{r}\text{e}\text{g}\text{e}\text{n}}\)is another characteristic that affects the efficiency of DSSCs. It is important to reduce the values of regeneration in order to achieve the electron transfer process quickly and this is noted in the value of \({{\Delta }\text{G}}^{\text{r}\text{e}\text{g}\text{e}\text{n}}\)in Table 1. This indicates that the studied dyes have sufficient properties to obtain high PCE of the DSSCs. These values are sufficient for a potential efficient electron injection process. Therefore, all the designed molecules can be suggested as the dye sensitized in DSSC.
Table 2
the photovoltaic properties of all dyes under study.
Dyes | \({\text{V}}_{\text{O}\text{C}} \left({\text{T}\text{i}\text{O}}_{2}\right)\) | \({\text{E}}_{00}\) | \({\text{E}}_{\text{O}\text{X}}^{\text{d}\text{y}\text{e}}\) | \({\text{E}}_{\text{O}\text{X}}^{{\text{d}\text{y}\text{e}}^{\text{*}}}\) | \({{\Delta }\text{G}}_{\text{i}\text{n}\text{j}}^{^\circ }\) | \({{\Delta }\text{G}}^{\text{r}\text{e}\text{g}\text{e}\text{n}}\) |
CA | 1.739 | 2.054 | 5.939 | 3.885 | -0.115 | 1.139 |
CA1 | 0.815 | 1.994 | 5.015 | 3.021 | -0.979 | 0.215 |
CA2 | 0.805 | 2.031 | 5.005 | 2.975 | -1.025 | 0.205 |
CA3 | 0.817 | 2.031 | 5.017 | 2.986 | -1.014 | 0.217 |
CA4 | 0.845 | 1.868 | 5.045 | 3.177 | -0.823 | 0.245 |
CA5 | 0.818 | 2.500 | 5.018 | 2.517 | -1.483 | 0.218 |
CA6 | 0.828 | 2.302 | 5.028 | 2.725 | -1.275 | 0.228 |
CA7 | 0.858 | 1.739 | 5.058 | 3.319 | -0.681 | 0.258 |