Introduction

Solar energy has turn into a promising energy source which involve the phenomena of photoelectric effect and overcome the elevating power crisis as the sunlight is non-exhaustible, non-polluting and widely available1. Among promising and cost-effective substitutes for future sustainable energy are OSCs due to their exceptional advantages. OSCs have been proved as an effective scheme for light manipulation, which is capable of improving the light absorption process2. In this way, larger photocurrent is produced due to the light scattering. The photovoltaic innovation has gained consideration of academic along with industrial communities’ decades-long. The photovoltaic (PV) silicon-based solar cells were known as the foremost and popular energy gadgets owing to their remarkable eco-friendly nature, proficiency and low cost3. Crystalline silicon solar cells have the greatest manufacturing history with over 60 years of progress and their efficiency has increased to above 25% because of the improvements in their architecture4,5. However, they are fragile and possess non-tunable energy levels due to which the organic-based solar cells have become more popular in recent years. They possess various important characteristics such as; (i) light weight; (ii) low-cost materials; (iii) tunable energy levels; (iv) mechanical flexibility; (v) variety of structural modulations and (vi) compatibility with large manufacturing6,7,8,9. Furthermore, organic–inorganic perovskite photovoltaics have gained impressive power conversion efficiency (PCE) of 22.1% because of remarkable characteristics like intense absorption spectrum, greater charge mobility and long diffusion length of charges10,11,12. Another class of OSCs namely dye-sensitized solar cells (DSSC) has also captured significant attention owing to their stability besides tunable visual characteristics e.g. transparency and color13,14,15. Components in DSSCs, such as the dye catches special attention on because of light conversion capability to electricity supported by photoexcitation13. The DSSCs that are metal free are of great efficiency and advantageous because of their synthesis, purification and many optical properties by easy chemical modifications16. Although in beginning efforts to commercialize organic photovoltaics (OPVs) were difficult as a result of lower power conversion efficiency (PCE) than the approximated market viability of 15%17. Besides, the photovoltaic domain is developed with other very compelling substances like OSCs based on fullerene derivatives namely PC71BM, ICBA, and PC61BM. Organic solar cells (OSCs) kee** fascinating characteristics like simple processability, light weight, mechanical flexibility, high formulation area and ease made them significant alternative tools18,19,20,21. Due to the exceptional electronic and structural properties of fullerene-based OSCs, they have been widely examined since 198522. Low reorganization energy of excitons23,24, elevated electron affinity25, and high mobility of electrons26,27 are some fascinating and distinctive properties of fullerene based OSCs. There also exhibit certain drawbacks in fullerene acceptors (FAs) which include less absorption in visible and near IR regions, poor photochemical and thermal stability28, non-tunable LUMO energies29 and less sunshine assimilation which impelled the researchers to search for some more strongly absorbing analogues30. Therefore, non-fullerene acceptors (NFAs) are utilized in the OSCs in place of FA owing to their flexible nature, higher fabrication area and wide tunability of their energy levels31. The non-fullerene small molecule acceptors (NF-SMAs) are regarded as remarkable constituents for proficient OSCs32. A rapid improvement in PCE is observed (~ 18–19%) in NFAs benefiting from years of research on fullerene-based BHJ materials33,34. The obvious increase in fill factor (FF) as well as short-circuit current (Jsc) is also seen in NFA-based devices with greater open-circuit voltage (Voc) in comparison to their fullerene counterparts35. Literature is flooded with many examples in which fullerene free donor or acceptors are extensively utilized to improve the efficiencies of photovoltaic materials36,37,38,39. Kee** in view the importance of NF organic systems, herein, we have tried to design benzodithiophene based organic systems for high efficacy photovoltaic devices. For this purpose, we take a synthesized X94FIC1. After that TAZD2-TAZD5 are designed by replacing the four member azacycle donor rings unit with three, five and six member ring azacycle donor unit as exhibited in Fig. 2. The optimized structures of aforesaid systems are displayed in Fig. 3 while their Chemdraw structures are shown in Fig. S2, however, their IUPAC names are tabulated in Table S1. The utilized azacycle donor moieties: 9-phenyl-9H-carbazole (THC), 5-phenyl-10,11-dihydro-5H-dibenzo[b,f]azepine (THA), 5-phenyl-5H-dibenzo[b,f]azepine (TBA), 9,9,10-triphenyl-9,10-dihydroacridine (PTH), 3-methyl-10H-phenothiazine (MPT) and their structures can be seen in Fig. S1. We have calculated different parameters like FMOs, DOS, UV–Vis, Voc, Eb and TDMs of all the studied compounds. The modifications in derivatives with their respective donor moieties might prove as a significant step towards introducing efficient solar cells.

Figure 1
figure 1

Modification of X94FIC into TAZD1 by replacing terminal acceptors with four ring azacycle donor unit, drawn utilizing ChemDraw software (https://chemistrydocs.com/chemdraw-pro-8-0/).

Figure 2
figure 2

The sketch map of the TAZD1-TAZD5 compounds.

Figure 3
figure 3

Optimized structures of TAZD1-TAZD5. Pictures are created by GaussView 5.0 and Gaussian 09 version D.01 (https://gaussian.com/g09citation/).

Frontier molecular orbitals (FMOs) analysis

The optoelectronic properties i.e. charge transfer, electronic features, reactivity, chemical stability and molecular interactions60 are investigated via utilizing FMOs61,62,63. The band gap of HOMO/LUMO orbitals is closely linked to these parameters64. As HOMO is the electronically filled highest orbital, so it is considered as an electron contributor, whereas, LUMO is considered to be an electron acceptor as it is an empty or unfilled orbital. Molecules having high energy gap (Egap) values are hard, because they resist changes in electronic configurations, resulting in lower reactivity and increased kinetic stability. Conversely, the compounds with low energy gap are attributed as soft molecules owing to their less stability and higher reactivity. These compounds reveal strong intramolecular charge transfer (ICT) possibilities due to their highly polarized nature and are extremely efficient molecules in the production of solar cell materials65. In addition, the HOMO–LUMO band difference is important in calculating a molecule’s total Voc and Eb64. So, FMO analysis is used to compute EHOMO, ELUMO and Egap of TAZD1-TAZD5 and the outcomes are exhibited in Table 1. The pictographs showing charge transference among orbitals are depicted in Fig. 4.

Table 1 Computed orbital energies of TAZD1-TAZD5 and their energy gap.
Figure 4
figure 4

Pictographic representation of HOMOs and LUMOs of TAZD1-TAZD5, units are in eV. Illustrations are made using Avogadro software, Version 1.2.0. (http://avogadro.cc/).

The above table reveals HOMO energy values for TAZD1, TAZD2, TAZD3, TAZD4 and TAZD5 as − 5.177, − 5.185, − 5.185, − 5.199 and − 5.104 eV while energies of LUMO are − 2.469, − 2.467, − 2.463, − 2.476 and − 2.445 eV, correspondingly. Egap is used to calculate molecules conductivity and net charge transfer66,67. The Egap values of designed chromophores (TAZD1-TAZD5) are revealed as 2.708, 2.718, 2.722, 2.723 and 2.659 eV, correspondingly. Highest energy difference between HOMO and LUMO (2.723 eV) is observed in TAZD4 among all the other derivatives which may be due to the 9,9-diphenyl-10-(p-tolyl)-9,10-dihydroacridine (PTH) donor moiety. The Egap value is abridged to 2.722 eV in TAZD3 due to the substitution of PTH with 5-(p-tolyl)-5H-dibenzo[b,f]azepine (TBA) donor moiety which may be due to the decreased in hindrance in charge transfer of TBA as compared to that of PTH. Furthermore, the replacement of donor of TAZD3 i.e. TBA with 5-(p-tolyl)-10,11-dihydro-5H-dibenzo[b,f]azepine (THA) in TAZD2 resulted in further reduction of bandgap to 2.718 eV owing to the enhancement in conjugation in the newly introduced donor moiety. TAZD1 is designed via replacing THA with carbazole containing donor moiety i.e. 9-(p-tolyl)-9H-carbazole (THC) in which nitrogen atom of carbazole exhibit the electron donating capability. As a result of this, the energy difference is lessen to 2.708 eV in TAZD1 because of the enhanced push pull mechanism. Moreover, TAZD5 has exhibited minimum energy gap as compared to all of the studied chromophores owing to the use of phenothiazine-based donor moiety such as 3-methyl-10H-phenothiazine (MPT) instead of THC in TAZD1. The extra electron-rich sulphur atom in phenothiazine might give an improved electron-donating capacity compared to donors that just include nitrogen atoms, like carbazole. Overall, the band gap descending order in the studied compounds is; TAZD4 > TAZD3 > TAZD2 > TAZD1 > TAZD5.

The electron density in HOMO of TAZD1-TAZD4 is predominantly located over the center ‘A’ and ‘π-spacer’ parts of the organic systems and minor over some atoms of donor, while in TAZD5 the electron density is dispersed on entire system. For LUMO, the electron density is majorly located over π-bridge and core acceptor in TAZD1-TAZD5. Among all the investigated compounds, TAZD5 is found to be the appropriate candidate for future OSCs with enhanced PV behavior due to less energy band gap and adequate charges transition from terminal donors to center acceptor (see Fig. 4).

UV–Vis analysis

UV–Vis analysis is significant to investigate the possibility of ICT, kind of configurations of transitions and electronic transitions in a compound. To calculate the absorption spectra of the excited states, the TD-DFT calculations are accomplished in gas and acetonitrile solvent. The observed oscillator strength (fos), transition energy (E), transition type and maximum absorption wavelength (λmax) are shown in Table 2 as well as Table 3 and other transitions are represented in Tables S2S11, whereas the absorption spectra of studied compounds TAZD1-TAZD5 is displayed in Fig. 5.

Table 2 Wavelength (λmax), excitation energy (E), oscillator strength (fos) and nature of molecular orbital contributions of TAZD1-TAZD5 in acetonitrile.
Table 3 Wavelength (\(\lambda )\), excitation energy (E), oscillator strength (fos) and nature of molecular orbital contributions of TAZD1-TAZD5 in gas phase.
Figure 5
figure 5

Absorption spectra of TAZD1-TAZD5 in two different media. The UV–Vis graphs are illustrated utilizing Origin Pro 8.5 version (https://www.originlab.com/).

In solvent (acetonitrile), all the investigated compounds have revealed maximum absorbance in visible spectrum (Fig. 5). The designed molecules (TAZD1-TAZD5) exhibit absorption range from 543.361 to 554.218 nm in acetonitrile. In solvent phase, λmax values are found to be more red-shifted contrary to gas phase because of solvent effect. Furthermore, the absorption spectra of studied compounds (TAZD1-TAZD5) are dominated by π-π interactions68. The polar medium results in the stabilization of π-π* state associated with n-π* characteristics by the use of an efficient electronic state69. This indicates that, in the stabilization of first singlet state, hydrogen bonding and dipole interactions are imperative70 and the molecules exhibit red-shifted absorption as a result of enhancement of solvent polarity.

It is seen that, \(\lambda\)max values are controlled efficiently by end-capped donor moieties which successively drive the red shifted absorption spectra71,72. The absorption band of TAZD4 is noticed at 543.361 nm having 2.282 eV energy of transition, 1.031 fos by exhibiting 98% molecular orbital contribution from HOMO to LUMO. The computed λmax value is shifted towards bathochromic shift in TAZD3 due to the replacement of PTH donor of TAZD4 by TBA so, TAZD3 has exhibited λmax at 544.101 nm, 2.279 eV transition energy, and 0.964 oscillator strength via showing HOMO → LUMO MO contribution of 98%. Furthermore, the substitution of TBA with THA donor moiety resulted in red-shifted absorption of 544.483 nm in TAZD2 along with lower transition energy (2.277 eV) and 1.006 oscillator strength via same MO contributions. Additionally, TAZD1 absorption spectra further shifted towards bathochromic shift (546.427 nm), owing to the deposition of another donor moiety i.e., THC in TAZD1 in the replacement of THA in TAZD2. Finally, the substitution of TTC with MPT donor moiety resulted in maximum red shift of 554.218 nm in TAZD5 due to phenothiazine group in MPT by showing 96% HOMO → LUMO and 2% HOMO-2 → LUMO molecular orbital contribution at 1.005 oscillator strength and minimum transition energy (2.237 eV) owing to its lowest band gap. \(\lambda\)max of all the compounds in acetonitrile solvent is found to be in increasing order as TAZD4 < TAZD3 < TAZD2 < TAZD1 < TAZD5.

In gaseous phase (Table 3), all the entitled compounds have almost exhibited equivalent order as well as characteristics as in solvent phase. The absorption spectrum shifts towards the red shift as the dielectric constant of media enhanced. Therefore, greater bathochromic shift is seen in acetonitrile due to its higher dielectric constant than that of gas phase. Nevertheless, it can be concluded from above discussion that, TAZD5 compound has exhibited maximum absorption wavelength, the lowest transition energy and minimum band gap which implies that, it can be used as an efficient material for photophysical characteristics in non-fullerene OSC materials.

Open circuit voltage

Open circuit voltage (Voc) is another significant study that provides insights into the performance of OSCs i.e. their maximum working capability. The total current that can be produced via any optical system can be estimated by Voc31,55. So, Voc shows direct relation with EHOMO and ELUMO of donor and acceptor molecules, correspondingly. Thus, Voc outcomes of TAZD1-TAZD5 are determined via Eq. (1) proposed by Scharber and his coworkers.

$$V\mathrm{oc}=(\left|{E}_{HOMO}^{D}\right|-\left|{E}_{LUMO}^{A}\right|)-0.3.$$
(1)

The major purpose of the calculation of Voc is to associate HOMO of the investigated donors with LUMO of PC61BM acceptor which is a well-known acceptor having energy of HOMO = − 6.10 eV and energy of LUMO = − 3.70 eV73 and the results obtained are represented in Table 4.

Table 4 Open circuit voltage and energy driving force of TAZD1-TAZD5.

As Table 4 reveals that the values of Voc for TAZD1-TAZD5 by considering the energy gap of HOMOdonor –LUMOPC61BM are found to be 1.446, 1.454, 1.454, 1.468, and 1.373 V, respectively. Among all, TAZD4 shows maximum results of Voc. The descending order of open circuit voltage of all the studied molecules is: TAZD4 > TAZD2 = TAZD3 > TAZD1 > TAZD5. From literature, we have found that for a significant transference from DHOMO towards ALUMO, the LUMO of acceptor should be at lesser energy level than that of the LUMO of donor molecules46,71. Interestingly, the LUMO of our compounds is higher than the PC61BM. These higher values of Voc elucidate the higher ICT from donor HOMO TAZD1-TAZD5 towards PC61BM which shows highly efficient donating capability of all the studied donors as shown in Fig. 6.

Figure 6
figure 6

Pictographic representation of Voc of TAZD1-TAZD5 with respect to PC61BM.

Density of states (DOS)

DOS was accomplished to assist FMO analysis and their comparative evaluation demonstrates that both of these are analogs to one another. The DOS graphs are displayed in Fig. 7. DOS are performed to disclose the dissemination of electron density on FMOs with the analysis of percentage composition for TAZD1-TAZD5. It provides useful data related to contribution of donor as well as acceptor in the development of FMOs. The DOS pictographs illustrate the bonding, non-bonding, and antibonding interactions amongst HOMO and LUMO74. The FMO diagrams in the Fig. 7 signify the electronic transitions that demonstrate the intramolecular charge transfer (ICT). In DOS pictographs, the negative values characterize HOMOs while, the positively charged outcomes depict the LUMOs and the difference among their values represents the energy gap on x-axis75.

Figure 7
figure 7

DOS around HOMO and LUMO of TAZD1-TAZD5. The DOS pictographs are drawn utilizing PyMOlyze 1.1 version.

The maximum density on LUMO is noticed at − 2.5 to 4 eV in all the investigated chromophores (TAZD1-TAZD5), while on HOMO highest density is observed from − 7 to − 12 eV as shown in Fig. 7. In TAZD2, TAZD4 and TAZD5 both HOMO and LUMO have comparable charge densities which depict their equal contribution toward FMOs. In TAZD1-TAZD5, the donor contributes 7.7, 5.3, 4.8, 4.6 and 22.0% to HOMO, whereas to LUMO its participation is 5.5, 5.5, 5.2, 5.9 and 4.0%, respectively. In the same fashion, π-spacer participates 72.5, 74.4, 74.8, 74.8 and 61.7% to HOMO, while 35.0, 35.2, 34.2, 35.9 and 32.6% to LUMO in TAZD1-TAZD5, respectively. Likewise, acceptor shows its percentage participation 19.8, 20.3, 20.4, 20.5 and 16.2% to HOMO in TAZD1-TAZD5, respectively, while 59.5, 59.3, 60.6, 58.2 and 63.4% to LUMO, respectively. Overall, the pattern of electronic charge distribution elucidates the delocalization of charges and large amount of charge transfer has taken place in all the modulated chromophores. Interestingly, all the designed derivatives portray almost alike contributions and the electron density is more prominent on the central unit (π-spacer and A units).

Transition density matrix (TDM) analysis

TDM is considerably utilized for the evaluation of electronic transitions along with their nature for TAZD1-TAZD5 in solvent phase. The study of the charge carriers localization along with delocalization and the interaction between donor and acceptor groups followed by electron–hole delocalization as calculated by TDM analysis76. The role of hydrogen atoms has been neglected because of their small contribution. The TDM heat maps of all the formulated molecules (TAZD1-TAZD5) are presented in Fig. S3. To study the transition of electrons within molecules in detail, we split our compound into fragments i.e. donor (D), π-spacer and acceptor (A).

It has been seen that adequate charge is transmitted out of donor towards acceptor moieties as the electron–hole pair is constituted diagonally on the entire TDM plot and represented by clear red and green spots near the acceptor portion. The electron delocalization is seen in the diagonals of A and π-spacers and very little in the D region. Moreover, the charge coherence and electron–hole pair generation are similarly observed in the off-diagonal portions of TDM heat maps (see Fig. S3).

Hole-electron analysis

Hole-electron analysis is popularly accomplished by utilizing the Multiwfn 3.8 software. It is a very useful method for revealing the nature of electron excitations. Moreover, it offers a deep understanding of all different electron transfer properties77, 78. In this study, hole-electron analysis is performed at B3LYP/6-311G (d,p) to understand the charge transmission in our studied molecules. Figure 8 shows that hole intensity is found maximum at sulphur atom (S15 and S16) of the thiophene ring of π-linker in parent compound (X94FIC) while, the hole intensity is observed at C36 and C38 of the acceptor region. Furthermore, it is also clear from Fig. 8 that electron intensity is found at its peak at sulphur atom (S9) of the acceptor region in compounds TAZD2, TAZD3 and TAZD4 whereas, hole intensity is observed to maximum at sulphur atoms (S15 and S16) of the π-spacer. However, in TAZD5 hole intensity is higher at methyl group of the π-spacer and electron density is intense at nitrogen atoms (N7 and N8) of the acceptor portion. Moreover, electronic cloud is observed to be thick at nitrogen (N7 and N8) and sulphur (S9) atoms of the acceptor in TAZD6 however, hole intensity is maximum at carbon atoms (C12 and C14) of the π-linker. The labeled structures of entitled chromophores without hydrogen atoms are illustrated in Fig. S5. In conclusion, all the designed molecules except TAZD5, are electron type materials as electronic cloud is observed thick at electronic band in contrast to hole intensity at hole band. In TAZD5, hole intensity is found higher at hole band therefore, it is a hole type material.

Figure 8
figure 8

Graphical representation of hole-electron analysis of investigated compounds.

Exciton binding energy (Eb)

One more consideration to estimate the working proficiency, optoelectronic characteristics, and separation potential is binding energy (Eb)79. The Eq. (2) is used to compute the binding energy of the studied systems.

$$E_{{{\text{b }} = }} E_{{{\text{H}} - {\text{L }} - }} E_{{{\text{opt}}}} .$$
(2)

Here, Eopt represents the least energy that is obtained when an electron moves from S0 (ground state) to S1 (excited state) during the first electronic transition. EH-L signifies the energy difference among HOMO and LUMO whereas, Eb is the binding energy that is obtained by the difference in band gap between molecular orbitals and first singlet exciton energy. Usually, the lower the value of Eb, greater would be the charge separation and current charge density Jsc which results in higher PCE80. The outcomes for the studied compounds calculated in acetonitrile are formulated in Table 5.

Table 5 Calculated HOMO–LUMO band gap (EH-L), first singlet excitation energy (Eopt) and exciton binding energies (Eb) of TAZD1-TAZD5.

According to our obtained results, the values of Eopt decreases progressively in all the designed compounds and is found as minimum in TAZD5 and the same behavior is observed in the HOMO and LUMO energy gap. The binding energy values in TAZD1-TAZD5 are found to be 0.439, 0.441, 0.443, 0.441 and 0.422 eV, correspondingly. The lowermost Eb value of TAZD5 depicts that it has excessive charges that can be separated into isolated charges. It is noted that TAZD5 exhibits high segregation of charges along with high Jsc which indicates that it is the leading candidate to improve the efficiency of organic photovoltaics. Furthermore, Eb data unveil a good agreement with TDM outcomes.

Charge transfer analysis

In order to understand the intermolecular charge transfer between donor and acceptor, a complex is developed between a donor molecule (TAZD5) and acceptor (PC16BM) polymer and FMO is investigated as shown in Fig. S4. For charge transfer analysis, we selected TAZD5 due to its unique properties such as reduced band gap and greater UV–Vis absorption spectra etc. among all fabricated chromophores. According to Fig. S4, in HOMO the charge is located over the TAZD5 donor chromophore and significantly transferred towards the acceptor polymer in LUMO which elucidates the significantly charge transfer from donor towards acceptor.

Conclusion

In a nutshell, through the molecular engineering with azacycle donor moieties in an organic system (X94FIC) fullerene free donor based chromophores (TAZD1-TAZD5) were designed. To comprehend their photophysical properties, the behavior of charge transfer, and structure–activity relationship, various analyses were performed at quantum chemical approach. A reasonable energy gap between LUMO/HOMO (∆E = 2.723–2.659 eV) and significant charge transfer with wider absorption spectra (λmax = 554.218–543.261 nm in acetonitrile) was examined in all non-fullerene donor chromophores. Additionally, the less binding energy outcomes (Eb = 0.422–0.411 eV) in formulated compounds specified higher rate of exciton dissociation that also reinforce the tremendous charge transition out of HOMO towards LUMO as shown by FMOs, DOS and TDMs analyses. Moreover, the Voc values are also determined with regarding to \({\mathrm{HOMO}}_{\mathrm{donor}}-{\mathrm{LUMO}}_{\mathrm{PC}61\mathrm{BM}}\) and interesting data was found with this order; TAZD4 (1.199 V) > TAZD2 (1.185 V) = TAZD3 (1.185 V) > TAZD1(1.177 V) > TAZD5(1.104 V). Consequently, significant photovoltaic materials can be developed by structural tailoring with efficient azacycle donor moieties. Moreover. this study also encourages the experimentalist to synthesize these efficient materials for practical use.