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Journal of the Mexican Chemical Society

versão impressa ISSN 1870-249X

J. Mex. Chem. Soc vol.61 no.4 México Out./Dez. 2017

 

Articles

Computational Designing of Low Energy Gap Small Molecule Acceptors for Organic Solar Cells

Ahmad Irfan*  1  2 

Asif Mahmood*  3 

1 Department of Chemistry, Faculty of Science, King Khalid University, Abha 61413, P.O. Box 9004, Saudi Arabia

2 Research Center for Advanced Materials Science (RCAMS), King Khalid University, Abha 61413, P.O. Box 9004, Saudi Arabia

3 Department of Chemistry, University of Sargodha, Sargodha-40100, Pakistan

Abstract:

In this study, effort is done to design a series of narrow-band-gap small molecule acceptors for organic solar cells. We have predicated the electronic and optical properties using theoretical methods. Results show that the orbital spatial distribution, HOMO/LUMO energy levels, band gap and optical properties can be systematically changedby modification of terminal acceptor units and conjugated system. Most of the acceptors show low energy gaps reveal thermodynamical more stability. Conjugated system help to tune the electronic properties and decrease the band gap of small molecules. Finally, we have identified potential terminal acceptor groups for proficient organic solar cell materials.

Keywords: Small molecule acceptors; low band gap; organic solar cell; DFT

Resumen:

En este estudio, se hace un esfuerzo para diseñar una serie de aceptadores de molécula pequeña de banda estrecha para celdas solares orgánicas. Hemos predicado las propiedades electrónicas y ópticas usando métodos teóricos. Los resultados muestran que la distribución espacial de los orbitales, los niveles de energía HOMO / LUMO, la brecha de banda prohibida, y las propiedades ópticas pueden modificarse sistemáticamente mediante la modificación de las unidades aceptadoras terminales y el sistema conjugado. La mayoría de los aceptadores muestran brechas de banda prohibida de baja energía que revela una mayor estabilidad termodinámica. El sistema conjugado ayuda a ajustar las propiedades electrónicas y disminuir la brecha de la banda prohibida de las moléculas pequeñas. Finalmente, hemos identificado grupos terminales potenciales de aceptadores para materiales óptimos para aplicación en celdas solares orgánicas.

Palabras clave: Aceptadores de molécula pequeña; brecha de banda prohibida pequeña; celda solar orgánica; TFD

1. Introduction

In previous twenty years, many synthetic efforts have been done to design organic semi-conductors for organic solar cells(1, 2). Major advantage of organic solar cells is cheap and easy device fabrication methods.

Phenyl-C61-butyric acid methyl ester(PCBM) is still unbeatable acceptor with high power conversion efficiencies resulted from due to its strong tendency to accept electrons from donor semiconducting polymers3. At the same time, poor absorption in visible region of solar spectrum PCBM and other fullerene derivatives stimulate the scientists to develop inexpensive alternate acceptors having qualities of PCBM as well as remove disadvantages of PCBM.

Organic acceptors can be divided into two sub-groups, polymers and small molecules. Polymer acceptors with respect to PCBM, show good absorption in the visible region and high open circuit voltages due to higher lowest unoccupied molecular orbital (LUMO) than PCBM. They also have disadvantages, give polydispersedmaterials due to irregular molecular weight from batch to batch, resulted low organic photovoltaic (OPV)performance4. Also show smaller fill factors due to limited electron transport caused by various deep traps and defects in acceptor polymer networks5. It is need in deed to explore more alternative small molecule acceptors (monodispersed).

Mostly scientists tried to design the acceptors with electronic and optical properties compliment with poly(3-hexylthiophene) (P3HT) donor6, which can be easily synthesized on large scale. To get good performance donor and acceptor should have complementary electronic and optical properties. Thus it is important to understand that how the optical as well as electronic properties can be tuned by structural tailoring to get significant improvement.

Absence of suitable matching between absorption spectrum of the active layer and the solar spectrum is one of major limiting factors of organic solar cells. Recently, near-IR small molecules base organic solar cells (OSCs) have gained increasing attention as indicated by published review articles7,8,9,10,11. For the better utilization of solar spectrum and to get improved efficiency, it is critical requisite to design and synthesize low bandgap small molecules with intense absorption in visible and near-IR regions12.

Research and development of new electron acceptors with lower LUMO levels than the commonly used PCBM is also needed for achieving efficient solar cells. In recent years, many investigations on the design and synthesis of low-band gap electrochromic polymers have been the major attractive area and a most successful and flexible strategy to design small band gap polymers involves the alternation of electron-rich and electron deficient units along the polymer chain 13,14,15,16. Some of this type polymers, quinoxaline units were used as acceptor unit and some works reported that low-bandgap polymers containing quinoxaline units as acceptor unit performed good electrochromic ability 17,18,19,20,21,22,22,23,24,25,26. These polymers generally show a variety of excellent properties such as distinct optical changes throughout the visible region, fast switching time, low-voltage electrochromic (the voltage lower than 1.3 V). To achieve high PCE values an ideal bandgap of 1.2-1.6 eV is necessary 27.

Thanks to computational methods, that it is possible to study large numbers of compounds even before synthesis. So quantum chemical methods can be used to study the series of compounds to establish the structure-efficiency relationship. Keep this in mind;we have designed a series of compounds with Acceptor-Conjugated system-Central block-Conjugated system-Acceptor. During this study, we have used one central building block. Different conjugated systems and terminal acceptors were used.

In this study, a series of small molecule acceptors were designed. Different π-spacer and terminal acceptors were used to design low band gap acceptors. Quantum chemical methods were used to predict the electronic and optical properties of designed compounds.

2. Computational Details

Previously, it has been showed that B3LYP functional provide the good results among standard DFT28,29,30,31,32,33,34 functionals for geometry optimizations of medium and large size molecules 35,36,37,38,39. The B3LYP functional and 6-31G(d,p) basis set was successfully used to optimize the ground state geometries where it was found a suitable level for small organic compounds40, 41. Moreover, Huong and coworkers stated that the B3LYP/6-31G(d,p) level is decent to imitate the experimental geometries42. The B3LYP wasextensivelyusedfor organic compounds to calculate the structural, electronic, charge transfer and optical properties which reproduces the experimental data significantly 33, 43,44,45,46. The 6-31G(d,p) basis set is balance for accuracy and computational time. Success of this level of theory is already proven for organic solar cell molecules. Geometries of all compounds in ground state were optimized using density functional theory (DFT) at B3LYP/6-31G(d,p) level. In addition, all geometries examined in this work were subsequently examinedthrough harmonic vibrational frequency calculations to verifytheir position on the B3LYP/6-31G(d,p) potential energy surface. A proper theoretical method isneeded to calculate the UV/vis spectrum of molecules, selection of suitable method become more important for compounds with high charge transfer (CT) character. To simulate the UV/vis spectra, use of time-dependent DFT (TD-DFT) is good choice.

Arago et al.,47, 48 have performed the benchmark studies using wB97X-D functional against several dispersion-corrected hybrids and highly correlated methods. They found that the wB97X-D exhibits the best performance to deal with charge-transfer excitations in a balanced way. The wB97X-D functional uses a version of Grimme’s D2 dispersion model. Thus we have carried out benchmark studies on three acceptors (one from each phase), i.e., CS1TA4, CS2TA4 and CS3TA4 to investigate the absorption wavelengths using wB97X-D functional. Furthermore, the methanol as solvent was used to estimate the absorption wavelengths. The polarized continuum model (PCM) was used to calculate the bulk solvent effects for all stages 49, 50. The calculated absorption wavelengths at TD-CAM-B3LYP/6-31(d,p) level in gas phase, TD-CAM-B3LYP/6-31(d,p) level in Methanol and TD-wB97X-D/6-31(d,p) level in Methanol have been tabulated in Table 1. By comparing the absorption wavelengths at TD-CAM-B3LYP in gas phase and solvent phase, it can be found that there is no significant effect of solvent, i.e., 6, 24 and 9 nm differences for CS1TA4, CS2TA4 and CS3TA4 between both the phases (gas and solvent at TD-CAM-B3LYP), respectively. Additionally, we have compared the absorption wavelengths computed at TD-CAM-B3LYP/6-31(d,p) level in gas phase and TD-wB97X-D/6-31(d,p) level in solvent. Interestingly, the careful analysis of Table 1 showed that the absorption wavelengths computed at TD-CAM-B3LYP/6-31(d,p) level in gas phase and TD-wB97X-D/6-31(d,p) level in Methanol have no significant effect, i.e., the difference in the absorption wavelengths is 12, 10 and 9 nm for CS1TA4, CS2TA4 and CS3TA4, respectively. Thus from this benchmark study, it can be expected that the absorption wavelengths computed at TD-CAM-B3LYP/6-31(d,p) level in gas phase are comparable to the TD-wB97X-D/6-31(d,p) level in Methanol. So in the present study all the TD calculations have been performed by using TD-CAM-B3LYP/6-31(d,p) level in gas phase.

Table 1 The absorption wavelengths of CS1TA4, CS2TA4 and CS3TA4 acceptors in gas phase and methanol. 

Acceptor TD-CAM-B3LYP/6-31(d,p) in gas phase TD-CAM-B3LYP/6-31(d,p) in Methanol TD-wB97X-D/6-31(d,p) in Methanol
CS1TA4 427 433 415
CS2TA4 688 712 678
CS3TA4 397 406 388

3. Results and discussion

In the course of this study, a series of acceptors weredesigned using different π-spacer and terminal acceptors (Fig. 1). Designing framework was based on three phases,in every phase different π-spacer with all acceptors (TA1-TA5) wereused (Fig. 2). Only one core-building block wasused (Thiadiazolo3,4-gquinoxaline). This block was used with the aim to design low band gap molecular acceptors.

Fig. 1 Molecular framework for designing of small-molecule acceptors. 

Fig. 2 Molecular representation of the small-molecule acceptors. 

3.1. HOMO energy levels and band gaps

Solar cell efficiencies are closely related to frontier molecular orbital (FMO) energies and band gaps (Eg) 27. The VOC and driving force for exciton dissociation can be predicted. The energy difference between the LUMO of the electron acceptor and the HOMO of the electron donor was found to closely correlate with the Voc value 22,24,25. While driving force for exciton dissociation electron is equal to energy difference between LUMOs of the donor and the acceptor. In this study DFT was used to calculate the energy levels.

To study the structural effect of terminal acceptorgroups, we have used same conjugated system and core-building block. Thiadiazolo3,4-gquinoxaline as a core building block and bithiophene as the conjugated bridgewasused. This strategy allow to compare the effect of terminal acceptors51.

The results of phase I theoretical experiments provided insight for the selection of the most appropriate terminal acceptor based on the aforementioned criteria. For phase I HOMO and LUMO energies range is from -5.51 to -5.13 eV and from -4.22 to -3.90 eV, respectively. From Fig. 3, it is clear that acceptor groups have significant effect on energy levels. So modification of terminal acceptor is good way to make suitable energy level match between donor and acceptor that is necessary to achieve high efficiency. The CS1-TA2, CS1-TA4 and CS1-TA5 show similar energy levels. All the acceptors have nearly similar energy gap because core building block is same. As we all know, narrowing HOMO-LUMO gap of a molecule can harvest more sunlight, which leads a higher JSC 10. All terminal acceptors have same effect on HOMOs and LUMOs energy level. Indan-1,3-dione (TA2) based Indacenodithiophene small molecule showed efficiency higher than 6% against 6T donor. Results of this study showed that N-phthalimide (A3) terminal acceptor displays high lying LUMO than TA2. ByusingTA3 as terminal acceptor in above mentioned compounds, we can practice these compounds against easy synthesizable donor P3HT52. This idea supported by the work of Hou et al. They fabricated small molecule acceptor ITIC (i.e., TA2) with P3HT and PDCBT. It is very surprising to see that although these two polymers are all ideal donor materials for the PSCs using PC71BM as acceptor, the blends of P3HT:ITIC and PDCBT:ITIC exhibited very different photovoltaic properties. The PDCBT:ITIC based solar cell showed a efficiency of more than 10%, while surprisingly, P3HT:ITIC showed very less efficiency (1.25%)53. Low efficiency can be explained on the basis of high lying LUMO of P3HT. So, it is necessary to modify the acceptor using different terminal groups to suitable energy map with easily synthesizable and cheap donor (P3HT). The TA2 and TA5 showed almost similar energy levels. Replacement of TA2 with TA5 in above already reported compounds can give similar performance.

Fig. 3 HOMO, LUMO and energy gap of acceptors 

For phase II, thiazole based conjugated bridge was used. The increase in the energy gap wasobserved but difference was not so significant. The HOMO and LUMO energy level trend was also same. For Phase III, thieno3,2-bthiophene was used as conjugated system. The energy gap wasless as in Phase I, only CS3-TA2 showed large energy gap. Using different π-spacers, we can modify the HOMO and LUMO energy levels to get suitable spectral response.

Graphical presentation of HOMOs and LUMOs is given in Figures 4, 5 & 6 for acceptors designed in three phases. The HOMOs and LUMOs charge density was found on main backbone which indicates that all the molecules are good acceptors.

Fig. 4 HOMOs and LUMOs for small-molecule acceptors examined in phase I. 

Fig. 5 HOMOs and LUMOs for small-molecule acceptors examined in phase II. 

Fig. 6 HOMOs and LUMOsfor small-molecule acceptors examined in phase III. 

3.2. Absorption Spectra

Absorption behavior of acceptor is also important like donor. It influences the efficiency of solar cell. Broad and intense absorption spectrum that matches with spectrum of donor is required. Absorption spectra of acceptors designed in three phases are given in Figures 7, 8 & 9. Absorption parameters are given in Table 2. For phase I, change of terminal acceptor showed reasonable change in absorption energy and absorption wavelength. The CS1-TA3 showed lower absorption wavelength. For phase II, all the acceptor absorb in higher wavelength. Modification of π-spacer is good to modify the absorption profile. For Phase III absorption wavelength was found blue shifted. But as compare to phase I, their absorption wavelength is red shift, especially CS3-TA3 and CS3-TA5 show higher wavelength (861 and 854 nm, respectively). It is generally accepted that acceptor show highextinction coefficient as compare to fullerene-based acceptors. In phase I, CS1-TA2 and CS1-TA4 showed higher oscillator strength while in phase II, CS2-TA1 and CS2-TA2 showed higher values. For phase III, results were found in similar trend. But CS3-TA2 show remarkably higher oscillator strength (3.32). This extends the conjugation of the aromatic system, reducing the bandgap significantly to give an absorption profile that is more complementary to that of P3HT.

Fig. 7 Simulated absorption spectra of phase I small-molecule acceptors. 

Fig. 8 Simulated absorption spectra of phase II small-molecule acceptors. 

Fig. 9 Simulated absorption spectra of phase III small-molecule acceptors. 

Table 2 Computed maximum absorption wavelengths (λmax/nm), absorption energy (Eg / eV), oscillator strengths (f), light harvesting efficiency (LHE)and transition natures of acceptors at TD-CAM-B3LYP/6-31(d,p) level of theory. 

  Acceptor E (eV) λ (nm) f LHE electronic configurations
Phase I CS1-TA1 2.72 455 1.37 0.957 HOMO->L+2 (64%)
  CS1-TA2 2.67 465 1.92 0.988 HOMO->L+2 (72%)
  CS1-TA3 3.07 404 1.45 0.965 HOMO->L+3 (47%)
  CS1-TA4 2.90 427 1.89 0.987 HOMO->L+2 (47%)
  CS1-TA5 2.68 462 1.67 0.979 HOMO->L+2 (57%)
Phase II CS2-TA1 1.81 687 1.20 0.937 HOMO->LUMO (94%)
  CS2-TA2 1.76 705 1.33 0.953 HOMO->LUMO (94%)
  CS2-TA3 1.79 693 0.89 0.871 HOMO->LUMO (96%)
  CS2-TA4 1.80 688 1.06 0.913 HOMO->LUMO (95%)
  CS2-TA5 1.79 694 1.18 0.934 HOMO->LUMO (94%)
Phase III CS3-TA1 2.98 416 1.40 0.960 HOMO->L+2 (74%)
  CS3-TA2 2.13 383 0.40 0.602 HOMO->LUMO (92%)
  CS3-TA3 1.44 359 0.75 0.822 HOMO->LUMO (98%)
  CS3-TA4 1.44 397 1.02 0.905 H-2->LUMO (31%)
  CS3-TA5 1.45 854 1.01 0.902 HOMO->LUMO (97%)

The light absorption range plays a very important role on the Jsc. The Jsc can be expressed as54:

In above equation LHE is harvesting ability, Фinjectis the overall charge collection efficiency, and ηcollect. the overall electron injection efficiency. LHE can be calculated using following equation 55.

Tuning the absorption spectra is very important to get high Jscvalues. Generally, it is accepted that to get high conversion efficiency, high Jsc values is required. By modifying the π-spacer and terminal acceptor, we can alter the spectral profile.

Conclusion

In seekingto design narrow-band-gap small molecule acceptors, theoretical investigation was carried out. Most of the small molecules showedsmaller band gap. The frontier molecular orbital levels indicate that we can use large number of donors. It was also found thatπ-spacer modified the energy gap and UV/vis profile. Terminal acceptor TA2 showed efficiency up 11% that is reported. The TA2 and TA4 have almost similar energy level and behavior; these can be used to design efficient photovoltaic materials.

Acknowledgement

The authors would like to express their gratitude to Research Centre of Advanced Materials Science (RCAMS) - King Khalid University, Saudi Arabia for support.

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Recebido: 04 de Novembro de 2016; Aceito: 13 de Julho de 2017

*Email:irfaahmad@gmail.com; asifmahmood023@hotmail.com

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