 Open Access Article
 Open Access Article
      
        
          
            Deepak 
            Bansal
          
        
       *a, 
      
        
          
            Amr A. 
            Nada
          
        
      *a, 
      
        
          
            Samrat 
            Ghosh
*a, 
      
        
          
            Amr A. 
            Nada
          
        
      *a, 
      
        
          
            Samrat 
            Ghosh
          
        
       b, 
      
        
          
            Indresh Kumar 
            Pandey
          
        
      c and 
      
        
          
            Nicolas D. 
            Boscher
b, 
      
        
          
            Indresh Kumar 
            Pandey
          
        
      c and 
      
        
          
            Nicolas D. 
            Boscher
          
        
       a
a
      
aMaterials Research and Technology Department, Luxembourg Institute of Science and Technology, 28 Avenue des Hautes-Fourneaux, Esch-Sur-Alzette, Luxembourg. E-mail: Deepakbans@gmail.com; amr.nada@list.lu
      
bInorganic and Physical Chemistry Laboratory, Council of Scientific and Industrial Research (CSIR), Central Leather Research Institute (CLRI), Chennai, 600020, India
      
cDepartment of Chemistry, D.D.U Gorakhpur University, Gorakhpur, Uttar Pradesh, India
    
First published on 29th August 2025
The development of bifunctional catalysts for overall water splitting is a rapidly advancing area of research. In this study, we report the synthesis of novel porphyrin-based polyimide polymers for electrocatalytic oxygen (OER) and hydrogen evolution reactions (HER). By assembling aminophenyl porphyrins with naphthalenetetracarboxylic dianhydride (NTCDA) linkers, donor–acceptor (D–A) architectures that enable extended π-electron delocalization and tailored frontier molecular orbitals conducive to water splitting were formed. FTIR, XPS and XRD analyses confirmed successful imidization between aminophenyl porphyrins (TAPP, NiTAPP, and CuTAPP) and NTCDA, resulting in π–π stacked two-dimensional polymer networks POP-1, POP-2, and POP-3, respectively. Band structure studies via XPS revealed that both imidization and metal incorporation significantly influence the electronic properties and enable the fine-tuning of the HOMO–LUMO levels for enhanced electrocatalytic activity. Electrochemical evaluations demonstrated the bifunctional nature of the polymers, with the Ni(II)-based polymer, i.e.POP-2, showing the best performance. POP-2 exhibited a lower OER onset potential (1.45 V vs. RHE) and smaller Tafel slope (167 mV dec−1) compared to its metal-free (POP-1) and Cu(II)-based (POP-3) analogues. Similarly, in the HER, POP-2 displayed a reduced onset potential (ca. 159 mV) and a lower Tafel slope (ca. 82 mV dec−1), attributed to the favorable redox behavior of Ni, optimal hydrogen binding energy, and enhanced charge delocalization. Electrochemical impedance spectroscopy confirmed its superior conductivity, while Mott–Schottky and XPS analyses revealed beneficial band alignment and increased charge carrier density. Long-term stability tests further validated the durability of POP-2. This work highlights the potential of metal-coordinated conjugated polymers as efficient and robust heterogeneous bifunctional electrocatalysts for overall water splitting.
A key factor governing catalytic performance in such systems is the alignment of frontier molecular orbitals (FMOs), specifically the valence and conduction band positions, with the targeted catalytic reactions.48–50 For efficient overall water splitting, the valence band must lie below the oxidation potential of water (O2/H2O), and the conduction band above the reduction potential of protons (H+/H2).46–51 Designing porphyrin-based POPs with precisely aligned FMOs for both the HER and OER remains a significant challenge. However, this can potentially be addressed through rational molecular engineering of donor–acceptor (D–A) architectures.52–56 In this regard, naphthalene diimide (NDI) is a particularly attractive acceptor unit due to its electron-deficient nature, excellent redox stability, high electron affinity, and good charge mobility.57 When incorporated into conjugated frameworks alongside electron-rich porphyrins, NDI can enhance charge separation, transport, and the overall catalytic performance of the resulting material.58–60 The unique properties of these building blocks are low lying FMOs, which are expected to tune the HOMO–LUMO position of the resulting polymer(s) and enhance their catalytic performance for both oxygen evolution and proton reduction reactions, offering a potential pathway for sustainable energy conversion and storage.
The most used synthetic techniques are poly-condensation reactions involving either boronic acids3 or amine and aldehyde groups to prepare C–C61,62 coupled and C![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) N63,64 linked porphyrin-based POPs. The difficulties in large scale synthesis of C–C coupled building blocks due to harsh reaction conditions and low hydrothermal stability of –C
N63,64 linked porphyrin-based POPs. The difficulties in large scale synthesis of C–C coupled building blocks due to harsh reaction conditions and low hydrothermal stability of –C![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) N– linkage are serious limitations to their practical application. Recently, novel polyimide (PI)-based porphyrin POPs have been synthesized through the immidization reaction for drug delivery,65 Suzuki–Miyaura coupling reactions,60 sensing66 and Zn2+ ion batteries.67 PI-based POPs as compared to other COFs, show excellent thermal stability, well crystalline, large pore sizes, and high surface area. Surprisingly, despite their enormous potential, the investigation of the synthesis of porphyrin-based PI-POPs and their electrocatalytic properties are largely unexplored.66
N– linkage are serious limitations to their practical application. Recently, novel polyimide (PI)-based porphyrin POPs have been synthesized through the immidization reaction for drug delivery,65 Suzuki–Miyaura coupling reactions,60 sensing66 and Zn2+ ion batteries.67 PI-based POPs as compared to other COFs, show excellent thermal stability, well crystalline, large pore sizes, and high surface area. Surprisingly, despite their enormous potential, the investigation of the synthesis of porphyrin-based PI-POPs and their electrocatalytic properties are largely unexplored.66
In this work, we report the facile synthesis of three donor–acceptor POPs TAPP-NDI (POP-1), NiTAPP-NDI (POP-2), and CuTAPP-NDI (POP-3) by combining tetra(aminophenyl)porphyrins (TAPP, NiIITAPP or CuIITAPP) as an electron-donating unit and naphthalenetetracarboxylic dianhydride (NTCDA) as an electron-accepting unit via a polyimide linkage. Structural characterization using FTIR, XPS, and PXRD confirmed the successful formation of the imidized frameworks and microcrystalline features. Electrochemical evaluation revealed that the Ni(II)-chelating POP-2 exhibits significantly enhanced bifunctional catalytic performance for both the HER and OER compared to the metal-free (POP-1) and Cu(II)-chelating (POP-3) analogues. This superior activity is attributed to the optimal alignment of FMOs enabled by the donor–acceptor architecture and the catalytic versatility of the Ni centre. Our findings highlight the promise of porphyrin–NTCDA polyimide POPs as efficient and robust catalysts for overall water splitting and energy conversion applications.
![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) O stretching vibrations of the imide ring at approximately 1780 and 1714 cm−1, respectively (Fig. S1–S3). Additionally, a strong absorption band at ca. 1340 cm−1, attributed to the C–N–C stretching within the imide structure, is observed. The complete disappearance of the –NH2 stretching band near 3240 cm−1 further supports the successful imidization of NTCDA with the aminophenyl-substituted porphyrins.65 To further confirm the chemical structure and investigate the local environment of the carbon atoms, solid-state 13C NMR spectroscopy was performed for the non-metalated polymer (POP-1) and the Ni(II)-chelating polymer (POP-2), taking advantage of the diamagnetic nature of Ni(II) (Fig. S4). Both polymers exhibit similar spectra, displaying multiple resonances in the range of 100–180 ppm, which are typical for aromatic and carbonyl carbons. A resonance around 160 ppm corresponds to the carbonyl carbons of the imide units. Additional signals at 116.8, 126.3, and 133.9 ppm are assigned to aromatic carbons from the phenyl and porphyrin units.66 Weak sideband signals observed at approximately 30 ppm and 230 ppm are attributed to spinning side bands, a characteristic of magic-angle spinning (MAS) in solid-state NMR and are commonly associated with anisotropic environments such as carbonyl groups in the naphthalenediimide units.
O stretching vibrations of the imide ring at approximately 1780 and 1714 cm−1, respectively (Fig. S1–S3). Additionally, a strong absorption band at ca. 1340 cm−1, attributed to the C–N–C stretching within the imide structure, is observed. The complete disappearance of the –NH2 stretching band near 3240 cm−1 further supports the successful imidization of NTCDA with the aminophenyl-substituted porphyrins.65 To further confirm the chemical structure and investigate the local environment of the carbon atoms, solid-state 13C NMR spectroscopy was performed for the non-metalated polymer (POP-1) and the Ni(II)-chelating polymer (POP-2), taking advantage of the diamagnetic nature of Ni(II) (Fig. S4). Both polymers exhibit similar spectra, displaying multiple resonances in the range of 100–180 ppm, which are typical for aromatic and carbonyl carbons. A resonance around 160 ppm corresponds to the carbonyl carbons of the imide units. Additional signals at 116.8, 126.3, and 133.9 ppm are assigned to aromatic carbons from the phenyl and porphyrin units.66 Weak sideband signals observed at approximately 30 ppm and 230 ppm are attributed to spinning side bands, a characteristic of magic-angle spinning (MAS) in solid-state NMR and are commonly associated with anisotropic environments such as carbonyl groups in the naphthalenediimide units.
        The XPS analysis of the N 1s and O 1s regions provided crucial insights into the formation of polymeric structures.68 The N 1s XPS spectra of the powder sample, pressed onto carbon tape, exhibited core features within a binding energy (BE) range of 397–401 eV (Fig. 2a). As anticipated, TAPP revealed three N 1s core components, corresponding to three electronically distinct nitrogen species: protonated pyrrole nitrogen (–NHpyr) at 401.03 eV, unprotonated pyrrole nitrogen (–Npyr) at 398.12 eV, and amine nitrogen (–NH2) at 399.79 eV. In contrast, the presence of coordinated Ni(II) and Cu(II) in NiTAPP and CuTAPP, respectively, resulted in two closely positioned signals attributed to –Npyr at 399.13 eV and 398.87 eV, and –NH2 at 399.77 eV and 399.95 eV, respectively. Notably, the condensation of the amine group with NTCDA to form an imide linkage was evidenced by the appearance of an N 1s core signal at 400.1 eV in POP-1 and 400.7 eV in POP-2 and POP-3. The approximately 1 eV shift in the N 1s BE value of –NH2 suggests its linkage to the electron-deficient NTCDA moiety. On the other hand, for the O 1s region, the XPS spectra of NTCDA displayed two distinct signals, corresponding to four carbonyl (–C![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) O) groups at 532.5 eV and two anhydride oxygen atoms at 529.1 eV (Fig. S5). A signal close to ca. 532.0 eV was also observed in all the samples, likely originating from oxygen on silicon wafer in the form of SiOx or residual solvent molecules. Interestingly, the absence of an anhydride oxygen signal in POPs 1–3 indicates complete condensation between amine and NTCDA. Additionally, the –C
O) groups at 532.5 eV and two anhydride oxygen atoms at 529.1 eV (Fig. S5). A signal close to ca. 532.0 eV was also observed in all the samples, likely originating from oxygen on silicon wafer in the form of SiOx or residual solvent molecules. Interestingly, the absence of an anhydride oxygen signal in POPs 1–3 indicates complete condensation between amine and NTCDA. Additionally, the –C![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) O signals in the porous polymers shifted to a lower BE by approximately 0.5 eV, which can be attributed to their linkage with the electron-rich porphyrin framework.
O signals in the porous polymers shifted to a lower BE by approximately 0.5 eV, which can be attributed to their linkage with the electron-rich porphyrin framework.
|  | ||
| Fig. 2 Comparative analysis of the change in N 1s core level for the porphyrin monomers (top) to their respective porous organic polymers (below). | ||
The crystallinity of the as-synthesised POPs was characterized by powder X-ray diffraction (PXRD) measurements. Interestingly, all the POPs exhibit broad diffraction signals indicating moderate to low crystalline nature of the POPs (Fig. 1c). As shown in the PXRD patterns, the most intense peak is observed at 7.35° for POP-1, 7.59° for POP-2 and 6.82° for POP-3, followed by broad features between 20 and 23°. Judging from the full width at half maximum (FWHM) of the first reflection at ca. 7°, POP-1 and POP-2 exhibit greater crystallinity than POP-3. While the feature corresponding to ca. 7° reflects the formation of two-dimensional (2D) crystalline frameworks, whereas the signal at ca. 22° indicates the pi-stacking between the 2D layers. In order to confirm the 2D framework formation, structural simulations were performed by considering both eclipsed (AA) and staggered (AB) arrangements. The experimental PXRD of the POPs closely matches with the simulated diffraction pattern of AA (Fig. 1b), in comparison to the AB arrangement.69 In addition, Field-emission scanning electron microscopy (FE-SEM) exhibits the presence of a highly dense microporous material, which is further reflected in the TEM images (Fig. S6). SEM–EDX elemental mapping confirms the homogeneous composition across the films. POP-2 and POP-3 display even Ni–C–N and Cu–C–N co-distributions, respectively (Fig. S7). No micron-scale metal aggregation is detected in the mapped areas. However, despite several attempts, HR-TEM did not enable the detection of an exploitable pattern, suggesting the formation of polymers with moderate crystallinity.
The microporous characteristics and amorphous nature of the synthesized POPs were systematically investigated through nitrogen adsorption–desorption isotherms measured at 77 K. Prior to analysis, all samples were thoroughly degassed at 150 °C under vacuum for 2 hours to remove any residual solvents or moisture that might interfere with gas adsorption. The microporosity and amorphous nature of the POPs were further observed by Brunauer–Emmett–Teller (BET) and Barrett–Joyner–Halenda (BJH) Model analyses exhibiting low pore volume and surface area of 0.124 cc g−1 and 69.98 m2 g−1 in POP-1, 0.07 cc g−1 and 51.25 m2 g−1 in POP-2 and 0.69 cc g−1 and 218.35 m2 g−1 in POP-3 (Fig. S8). The relatively low values likely account for partial pore collapse during activation of the extended π–π stacking of the polyimide frameworks. Moreover, the unusually higher surface area of POP-3 is potentially attributed to (i) the smaller ionic radius of Cu2+ relative to Ni2+, which induces less distortion in the π–π stacking of the porphyrin units, and (ii) enhanced microporosity arising from improved packing efficiency. The imidization of the porphyrins with electron deficient NTCDA are observed in the absorption properties of the synthesised POPs. The diffused reflectance absorption of the POPs display a red shifted Soret band by ca. 17 nm in POP-1 and ca. 7 nm for POP-2 and POP-3 followed by broadening of the Q-bands, which most likely arises from the aggregation of 2D polymer sheets due to the strong π–π stacking property of both porphyrins and naphthalenediimides (Fig. S9). Moreover, the band gap values determined from the Tauc plot (Fig. S10) range from 1.90 eV for POP-1 and POP-2 to 2.40 eV for POP-3, which is significantly lower than their porphyrin counterparts TAPP (2.70 eV), NiTAPP (2.80 eV) and CuTAPP (2.83 eV), respectively. Interestingly, the HOMO–LUMO band positions derived from the combination of VBM measurement (Fig. S11) and Tauc plot display lowering in the HOMO level by 0.11 eV for POP-1 (2.27 eV), 0.21 eV for POP-2 (1.39 eV) and 0.45 eV for POP-3 (1.40 eV) whereas, the LUMO level decreases by 0.68 eV for POP-1 (0.86 eV), 1.11 eV for POP-2 (−0.51 eV) and 0.88 eV for POP-3 (−1.0 eV) with respect to their porphyrin counterparts TAPP, NiTAPP and CuTAPP emphasising the significant electronic effect of NTCDA on the electronic structure of the resulting porphyrin-based porous organic polymers (Fig. 3). Meanwhile, the introduction of metal ions in POP-2 and POP-3 resulted in the increase of the VBM by ca. 0.88 eV as compared to non-metalated POP-1. Gratifyingly, as anticipated, the combination of acceptor (NTCDA) with low-lying FMOs and electron donor (porphyrin) resulted in tuning the FMOs at an intermediate level of the individual band position of both the porphyrin and NTCDA, except for the HOMO level of POP-1, which remains at 0.86 eV, i.e. below the HOMO position of both TAPP and NTCDA (Fig. 3 and Fig. S12).
The structural insight towards the donor–acceptor (D–A) character of the synthesised POPs was analysed by performing DFT calculations with the B3LYP/LANL2DZ method using Gaussian 16. The results reveal that in POP-1 and POP-2, the FMOs are mainly localized on the porphyrin units and NDI linkers, consistent with a D–A framework (Fig. S13). Specifically, the HOMO of POP-2 is delocalized over the porphyrin unit, including the Ni(II) center, while the LUMO is primarily localized on the NDI linker. In contrast, POP-3 exhibits a markedly different distribution (Fig. S14): both the HOMO and LUMO are localized on the N4–Cu core, with higher orbitals (HOMO+1/LUMO+1) showing a similar trend. Interestingly, while HOMO+2 continues to follow this delocalization pattern, LUMO+2 redistributes over the NDI linker. These findings highlight the distinctive influence of metal incorporation on orbital distribution, underscoring the synergistic roles of transition-metal centres and extended conjugation in governing catalytic activity.
The enhanced OER activity of POP-2 can be attributed to the unique electronic and redox properties of the nickel center. Unlike copper, which typically exhibits limited redox activity in the same potential window of the OER,72 nickel can reversibly switch between Ni2+ and Ni3+ (or even Ni4+) states during electrocatalysis, which is essential for efficient electron transfer and the formation of O–O bonds in the rate-determining step of the OER. Under alkaline conditions, the surface of nickel-based catalysts often forms Ni(OH)2/NiOOH phases, known to be highly active intermediates that facilitate oxygen evolution through a lattice oxygen mechanism. These redox transformations are not only reversible but also fast, contributing to the observed lower overpotential and reduced Tafel slope.70–72
POP-2 also demonstrated superior performance for the HER, showing a lower onset potential (ca. 159 mV) and a smaller Tafel slope (ca. 82 mV dec−1) compared to POP-1 (onset of ca. ∼176 mV, Tafel slope of ca. 89 mV dec−1) and POP-3 (onset of ca. 215 mV, Tafel slope of ca. 248 mV dec−1). This remarkable enhancement for hydrogen evolution can also be explained by the strong hydrogen adsorption characteristics of nickel, which offers an optimal binding strength with protons-neither too strong to prevent H2 desorption nor too weak to hinder proton adsorption. Furthermore, the integration of Ni into the conjugated carbon framework of POP-2 promotes efficient charge delocalization and electronic communication between the metal center and the conductive matrix, thereby reducing the charge transfer resistance and enabling faster interfacial electron transport. Moreover, the reduction response at ca. −0.20 V in POP-1, ca. −0.23 V in POP-2 and ca. −0.25 V in POP-3 corresponds to the NDI linker unit.73 The higher reduction value in POP-2 and POP-3 compared to POP-1 relates to the higher LUMO levels for the POP chelating metal ions.
Electrochemical impedance spectroscopy (EIS) supported these findings. Nyquist plots (Fig. 4) showed that POP-2 and POP-3 exhibited smaller semicircle diameters than POP-1, with POP-2 presenting the lowest charge transfer resistance (Rct) among the three reported POPs, indicating improved electrical conductivity and rapid charge mobility. The superior performance of POP-2 compared to POP-3 highlights not only the importance of incorporating a metal center, but also the specific advantage of nickel over copper in catalyzing both the OER and HER under the studied conditions.74 The atomically dispersed Ni-porphyrin centers (single-site) embedded in the conjugated polyimide framework provide well-defined active sites and facilitate charge delocalization—consistent with the lower Rct and higher capacitive signature of POP-2. Long-term stability tests further demonstrated the robustness of POP-2 during continuous electrolysis. In the OER, POP-2 retained 93.7% of its initial current density after 8 h (Fig. 4i), while in the HER, a stable current density of −0.4 mA cm−2 was maintained for 8 hours without noticeable performance degradation. Raman spectroscopy and XPS analysis conducted after the stability test revealed no sign of new peak(s) and/or demetallation (Fig. S15), indicating structural integrity.75
The Mott–Schottky plot presented in Fig. 4g provides valuable insights into the electronic properties of the porphyrin-based POPs and the impact of metal incorporation (Ni and Cu) on their band structure. The plot reveals the flat-band potential of 0.48 V for POP-1 (metal-free POP), 0.50 V for POP-2 (Ni), and 0.44 V for POP-3 (Cu). The negative slopes observed for all samples confirm their p-type semiconductor behavior, where holes are the majority charge carriers.
The incorporation of Ni induces a slight upward shift in the flat-band potential compared to the metal-free POP (POP-1), consistent with a modulation of the valence band position due to metal coordination. Moreover, the flatter slope observed for POP-2 suggests a higher hole (acceptor) density, which improves electrical conductivity and facilitates a more efficient charge transport. These features, combined with the band alignment obtained from XPS, explain the superior performance of POP-2 for both the OER and HER. The valence band edge of POP-2 is positioned appropriately below the OER level, offering sufficient oxidative driving force, while its conduction band minimum is also favorably placed above the HER level.
In contrast, POP-3, with a slightly lower flat-band potential (0.44 V), shows a valence band position too close to the OER potential, which limits its oxidative efficiency. Although its conduction band minimum lies deeper (–1.0 V vs. RHE), providing a favorable potential for HER thermodynamics, the overall catalytic performance of POP-3 remains inferior to that of POP-2. This is likely due to its lower hole density and less efficient charge-transport properties.76
To further quantify the density of the active sites, the electrochemically active surface areas (ECSAs) were estimated via the electrochemical double-layer capacitance (Cdl). POP-2 showed the highest Cdl value (19.8 mF g−1), exceeding those of POP-3 (15.3 mF g−1) and POP-1 (13.9 mF g−1), as depicted in Fig. 4h and Fig. S17. This higher Cdl value reflects a larger number of exposed active sites accessible for the catalytic reaction, which is consistent with the enhanced current densities observed in both the OER and HER for the Ni-based POP (POP-2). Using Cs = 40 μF cm−2, POP-2 shows the largest ECSA of 0.495 cm2 (area-normalized) and 495 cm2 g−1 (mass-normalized), consistent with its higher activity. The turnover frequency (TOF) is calculated at fixed overpotentials using TOF = IA/nFNactive (n = 2 HER, n = 4 OER) and the conservative site count (Nactive) was taken as the total moles of metal per electrode (1.0 mg loading; EDX metal wt%: Ni 39.31%, Cu 19.15%). At η = 0.10 V (HER) and η = 0.30 V (OER), POP-2 (Ni) reaches TOF of 1.80 × 10−5 s−1 and 2.61 × 10−5 s−1, respectively, while POP-3 (Cu) gives TOF of 1.06 × 10−5 s−1 and 2.59 × 10−5 s−1.
Finally, a control experiment using monomers TAPP, NiTAPP, and CuTAPP was performed under identical conditions to underline the effect of polymerization, displaying markedly lower electrocatalytic activity than those of the POPs (Fig. S16). Gratifyingly, in acidic HER, NiTAPP did not yield a stable film and dissolved during polarization, highlighting the stabilizing role of the polyimide framework for Ni sites. Overall, the control experiments, TOF analysis, and supporting Mott–Schottky and XPS band alignment data confirm that polymerization not only stabilizes uniformly distributed single-site metal centers but also optimizes the electronic structure and charge carrier density. These combined effects account for the superior bifunctional electrocatalytic performance, particularly in Ni-containing POP-2.
Scanning electron microscopy (SEM) images were recorded using a FEI Quanta 200F. Transmission electron microscopy (TEM) investigations were carried out using a JEOL – F200 Cold FEG TEM/STEM operating at 200 kV. X-ray photoelectron spectroscopy (XPS) measurements were performed with a Kratos Axis Ultra DLD instrument using a monochromatic Al Kα X-ray source of energy 1486.6 eV, at 105 W power. Charge calibration was accomplished by fixing the binding energy of carbon (C 1s) to 285.0 eV.
The adsorption isotherm for N2 was measured using a Quantachrome autosorp iQ gas sorption system. Before analysis, samples were degassed at 150 °C for 2 hours and the Brunauer–Emmett–Teller (BET) method was utilized to calculate the specific surface areas. Structural simulation for all the POPs was performed using the Materials Studio (2018) software package.77 Firstly, the smallest repeating unit of the POPs was placed in a sql topology crystal cell and geometric optimizations were performed using Universal force field (UFF)-based Lennard–Jones dispersion corrections.78,79 Both eclipse AA and staggered AB stacks were considered for all the POPs by creating the corresponding unit cells and their geometry were optimized.
The geometry optimization and investigation for FMOs of the selected unit in a polymeric structure was carried out in the gas phase at the Becke three-parameter80 hybrid exchange functional in concurrence with the Lee–Yang–Parr gradient-corrected correlation function (B3LYP functional)81 level of density functional theory (DFT), using the LANL2DZ basis set for POPs 1–3. DFT calculations were performed on all stationary points of the potential energy surface (PES) and studied using the Gaussian 16W suite.82
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