Enhanced non-linear optical properties of porphyrin-based polymers covalently functionalized with graphite phase carbon nitride

In our work, a flurry of original porphyrin-based polymers covalently functionalized g-C3N4 nanohybrids were constructed and nominated as PPorx-g-C3N4 (x = 1, 2 and 3) through click chemistry between porphyrin-based polymers with alkyne end-groups [(PPorx-C≡CH (x = 1, 2 and 3)] and azide-functionalized graphitic carbon nitride (g-C3N4-N3). Due to the photoinduced electron transfer (PET) between porphyrin-based polymers [PPorx (x = 1, 2 and 3)] group and graphite phase carbon nitride (g-C3N4) group in PPorx-g-C3N4 nanohybrids, the PPorx-g-C3N4 nanohybrids exhibited better non-linear optical (NLO) performance than the corresponding PPorx-C≡CH and g-C3N4-N3. It found that the imaginary third-order susceptibility (Im [χ(3)]) value of the nanohybrids with different molecular weight (MW) of the pPorx group in the nanohybrids ranged from 2.5×103 to 7.0 × 103 g mol−1 was disparate. Quite interestingly, the Im [χ(3)] value of the nanohybrid with a pPorx group’s MW of 4.2 × 103 g mol−1 (PPor2-g-C3N4) was 1.47 × 10–10 esu, which exhibited the best NLO performance in methyl methacrylate (MMA) of all nanohybrids. The PPorx-g-C3N4 was dispersed in polymethyl methacrylate (PMMA) to prepare the composites PPorx-g-C3N4/PMMA since PMMA was widely used as an alternative to glass. PPor2-g-C3N4/PMMA showed the excellent NLO performance of all nanohybrids with the Im [χ(3)] value of 2.36 × 10–10 esu, limiting threshold of 1.71 J/cm2, minimum transmittance of 8% and dynamic range of 1.09 in PMMA, respectively. It suggested that PPorx-g-C3N4 nanohybrids were potential outstanding NLO materials.


Introduction
Non-linear optical (NLO) materials have received great attention owing to their tremendous applications in the fields of photonic devices (Andréasson et al., 2011), optical limiting , optical switches , light converters (Miriyala and Mani, 2021), etc. Porphyrins with a unique 18 π electron conjugated structure, good thermal stability and narrow bandgap possess excellent NLO performance (Manjunatha et al., 2020;Ou et al., 2021). Meanwhile, due to the structural adjustability, unique electronic and photophysical properties of porphyrins, porphyrins have broad application in various areas and good prospects (Zhang et al., 2018;Chen et al., 2020;Asghar et al., 2021;Liu and Cheng, 2021). Particularly, the NLO performance of porphyrins could be improved by the flexible modification of peripheral substituents or the hybridization with other materials (Zawadzka et al., 2013;Woller et al., 2016;Hu et al., 2018;Biswal et al., 2019;Samal et al., 2019;Liu J. L. et al., 2020;Liu and Cheng, 2021;Ramasamy et al., 2022). However, previous research indicated the self-aggregate behavior of porphyrins could lead to the formation of large macro-scale and fractal structures, causing a negative impact in the development of NLO devices in practice (Kalachyova et al., 2014). Therefore, the development of novel porphyrin-based NLO materials remained challenging, which have become one of the hot issues in the NLO field.
Growing research have focused on the porphyrin-based polymer to inhibit the aggregation behavior of porphyrins and enhance the NLO performance in solution (Wang et al., 2022). For example, Qiu et al. used porphyrin as an initiator to prepare Por-PMMA via Atom Transfer Radical Polymerization. Due to the steric hindrance of PMMA, the aggregation behavior of porphyrin was effectively inhibited, and its NLO performance was improved in the solvent (Qiu et al., 2013). Du et al. reported the introduction of porphyrin into the main chain of poly (arylene ether sulfone) and a large third order optical susceptibility was obtained (Du et al., 2016). Although the aggregation was effectively reduced, but the decrease of the content of porphyrin in the polymer was decreased with the increase of the molecular weight (MW) of porphyrin-based polymer correspondingly, which has a negative influence on NLO property. Other studies showed that porphyrins and nanomaterials were prepared into nanohybrids, and the NLO performance of the nanohybrids could be improved because of the PET between porphyrins and nanomaterials (Wang et al., 2014;Fu et al., 2022). Consequently, the combination of porphyrin-based polymers and nanomaterials might offer a better solution to further increase the NLO performance of porphyrin-based materials (Wan et al., 2012;Liu et al., 2013;Garg et al., 2017;Liang et al., 2022).
Graphite phase carbon nitride (g-C 3 N 4 ) is a semiconducting nanomaterial with a stacked conjugated structure (Ji et al., 2017). Due to the medium bandgap, fast electron-hole separation efficiency and high carrier mobility (Alenizi et al., 2019;Zhang and Liang, 2019;Daraie et al., 2021;Vavilapalli et al., 2021), g-C 3 N 4 has recently been utilized for constructing NLO materials. Park et al. prepared nanohybrids by combining metal oxide with g-C 3 N 4 , which showed excellent imaginary third-order susceptibility (Im [χ (3) ]) in ethanol (Sridharan et al., 2015). By combining Ag quantum dots with g-C 3 N 4 , Sridharan et al. observed good NLO properties of the nanohybrid due to the energy transfer and electron transfer mechanisms (Sridharan et al., 2014). The electron transfer phenomenon also existed when porphyrin was combined with g-C 3 N 4 . Zhu et al. reported that the remarkable photoinduced electron transfer (PET) process was observed under visible light irradiation by combining porphyrin with g-C 3 N 4 . Thus, combining porphyrin with g-C 3 N 4 might be a feasible method to improve NLO performance. However, most of the research on the NLO performance of porphyrins has been conducted in liquid systems, which was not conducive to the practical application Rohal et al., 2022). Moreover, the direct doping of porphyrins and g-C 3 N 4 in solid matrices would jeopardize NLO performance due to poor dispersion (Qiu et al., 2013). Therefore, it may be feasible to covalently bond g-C 3 N 4 with porphyrin-based polymers to improve the dispersibility and NLO performance in the solid matrix. As far as we know, there was no literature on the porphyrin-based polymers covalently functionalized g-C 3 N 4 nanohybrids for NLO research.
In our previous report, the comb-shaped porphyrin-based polymers [PPorx-C≡CH (x = 1, 2 and 3)] had been constructed by Reversible Addition-Fragmentation Chain Transfer Polymerization (Liang et al., 2022). In our work, a flurry of original porphyrin-based polymers covalently functionalized g-C 3 N 4 (PPorx-g-C 3 N 4 (x = 1, 2 and 3)] nanohybrids were synthesized via azide-alkyne click chemistry. The PPorx-C≡CH with high grafting density and highly flexible main chains could effectively inhibit the aggregation of porphyrin molecules (Chang et al., 2022). In addition, a significant PET process could occur between porphyrin-based polymer [PPorx (x = 1, 2 and 3)] group and g-C 3 N 4 group in the nanohybrids. With the unique structural features of the nanohybrids, the obtained PPorxg-C 3 N 4 exhibited improved NLO performance through the synergistic effect of the minimal aggregation properties caused by PPorx-C≡CH and the PET process between pPorx group and g-C 3 N 4 group. Considering practical use, a series of nanohybrid-doped polymethyl methacrylate (PMMA) composites were constructed through solution casting technology and further research the NLO performance. This research presents a novel design strategy for preparing high-performance NLO materials.

Preparation of azide groups functionalized g-C 3 N 4 (g-C 3 N 4 -N 3 )
In a typical procedure, g-C 3 N 4 -BA (50 mg) and anhydrous DMF (1 ml) were dispersed in SOCl 2 (30 ml) and stirred for 24 h in ice-water bath. The mixture was depressurized to remove residual SOCl 2 to obtain a brown powder. After that, NaN 3 (185 mg, 30 mmol) in anhydrous DMF (30 ml) was added to the above mixture and stirred in ice-water bath for another 24 h. The obtained mixture was centrifuged, washed alternately with deionized water and absolute ethanol to eliminate the sodium salts and residual DMF and then dried under vacuum over night to obtain g-C 3 N 4 -N 3 as a yellow powder (52 mg).

Synthesis and characterization
The synthetic process of PPorx-g-C 3 N 4 nanohybrid was illustrated in Scheme 1. The PPorx-g-C 3 N 4 nanohybrids were obtained through the click chemistry between PPorx-C≡CH and g-C 3 N 4 -N 3 . Due to their similar structure, PPor1-g-C 3 N 4 was analyzed to dissect the structure of PPorx-g-C 3 N 4 . Figure 1 shows the Fourier transform infrared (FT-IR) spectra of g-C 3 N 4 -N 3 , PPor1-C≡CH and PPor1-g-C 3 N 4 . The stretching vibration of -C≡CH (2154 cm −1 ) and -N 3 (2050 cm −1 ) were observed for PPor1-C≡CH and g-C 3 N 4 -N 3 , respectively. For PPor1-g-C 3 N 4 , the -N 3 and -C≡CH peaks disappeared, the characteristic peaks at 810, 1245, 1324, 1458 and 1642 cm −1 from the g-C 3 N 4 group, and 800 cm −1 from porphyrin group were observed, indicating the successful combination of PPor1-C≡CH with g-C 3 N 4 -N 3 .
The crystal structure of PPor1-g-C 3 N 4 was further determined by X-ray diffractometer (XRD). As indicated in Figure 2, a broad peak in the range from 15°to 35°of PPor1-C≡CH was due to its indeterminate structure. The peaks of (100) and (002) at 13.4°and 27.4°of g-C 3 N 4 -N 3 indicated the interlayer stacking of aromatic rings and the in-plane repeat period in g-C 3 N 4 . The amorphous structure of PPor1-g-C 3 N 4 was due to the distruction of the ordered structure of g-C 3 N 4 -N 3 by the combination with PPor1-C≡CH.
X-ray photoelectron spectroscopy (XPS) was used to confirm the covalent attachment between PPor1 group and g-C 3 N 4 group. In the survey spectra (Supplementary Figure S4), PPor1-g-C 3 N 4 was constructed by C, N, O and S. As shown in Figure 3, the six characteristic peaks in PPor1-g-C 3 N 4 could be divided into three groups: the characteristic peaks at 398.8 and 400.1 eV belonging to the N of NH and C=N in the pyrrole ring of PPor1 group; the characteristic peaks at 398.3, 399.5 and 400.6 eV belonging to the N of C-N=C, N-(C) 3 and C-NH 2 of g-C 3 N 4 , respectively ; the characteristic peak located at 402.0 eV assigned to the N of the triazole ring in PPor1g-C 3 N 4 (Wipperman et al., 1991;Liu et al., 2016), indicating that PPor1 group was covalently attached to g-C 3 N 4 group via the click reaction. In addition, compared with g-C 3 N 4 -N 3 and PPor1-C≡CH, the peaks of g-C 3 N 4 group in PPor1-g-C 3 N 4 shift towards lower binding energy, while the peaks of porphyrin shift towards higher binding energy, respectively, which could be attributed to the disappearance of the alkynyl group in PPorx-C≡CH and the azide group in g-C 3 N 4 -N 3 after the click reaction between PPorx-C≡CH and g-C 3 N 4 -N 3 and the formation of the triazole ring, leading to the change of the chemical environment of N in porphyrin and g-C 3 N 4 (Li X. et al., 2022;Shi et al., 2022). The results of XPS proved the covalently linking between PPor1 group and g-C 3 N 4 group.
To further investigate the morphology of material, scanning electron microscope (SEM) was carried out. As shown in Figure 4A, g-C 3 N 4 -N 3 showed tubular morphology with a Frontiers in Chemistry frontiersin.org smooth surface, and its tube diameters varies from 0.896 μm to 2.608 μm. In Figure 4B, PPor1-g-C 3 N 4 also exhibited an obvious tubular structure, and there were irregularly shaped particles with a size of several hundred nm on the surface, which might relate to the introduction of pPorx group. The FT-IR, XRD, XPS, and SEM together confirmed the successful preparation of PPor1-g-C 3 N 4 .

Optical and physical properties
As shown in the UV-vis diffuse reflection spectra (DRS) (Figure 5A), the g-C 3 N 4 -N 3 exhibited an absorption edge at ca. 450 nm, which is consistent with the literature report (Zhou et al., 2018). A broad peak from 462 to 600 nm derived from the n-π* transition of heptazine ring unit in the g-C 3 N 4 -N 3 (Xu et al.,

SCHEME 1
The synthesis route of PPorx-g-C 3 N 4 .
Frontiers in Chemistry frontiersin.org 2019). PPor1-C≡CH possessed a Soret band at around 417 nm and four weak bands at 500-700 nm attributed to Q bands of porphyrin group. After the click chemistry between g-C 3 N 4 -N 3 and PPor1-C≡CH, the peaks of porphyrin group in PPor1-g-C 3 N 4 were red-shifted compared with that in PPor1-C≡CH, which might be involved in the electron interactions between PPor1 group and g-C 3 N 4 group. From the photoluminescence (PL) spectra ( Figure 5B), the three porphyrin-based polymers PPorx-C≡CH exhibited two emission bands at 661 and 725 nm. Besides, the fluorescence emission intensity of PPorx-C≡CH decreases as the degree of polymerization of PPorx-C≡CH increases, which could be explained as follows: as the increase of the degree of polymerization of PPorx-C≡CH, the concentration of porphyrin increases, resulting in a self-quenching phenomenon which is caused by the concentration quenching effect, and this phenomenon becomes more obvious with the increase of the degree of polymerization of PPorx-C≡CH (Grenoble et al., 2005;Loman-Cortes et al., 2021;Li C. et al., 2022). Notably, the PPorx-g-C 3 N 4 exhibited obvious fluorescence quenching compared with PPorx-C≡CH, and the fluorescence characteristic peak (666 nm) had a redshift of 5 nm, which might be owing to the PET between pPorx group and g-C 3 N 4 group in PPorx-g-C 3 N 4 . The photocurrent response experiment of PPor1-C≡CH, g-C 3 N 4 -N 3 and PPorx-g-C 3 N 4 (x = 1, 2 and 3) were used to further investigate the PET effect between pPorx group and g-C 3 N 4 group in PPorx-g-C 3 N 4 . As shown in Figure 6, the photocurrent response of PPor1-g-C 3 N 4 was enhanced compared to PPor1-C≡CH and g-C 3 N 4 -N 3 , indicating that the PET existed between PPor1 group and g-C 3 N 4 group in PPor1-g-C 3 N 4 under visible light irradiation. In addition, with the increase of MW of pPorx group in PPorx-g-C 3 N 4 , the electron transfer effect of PPorx-g-C 3 N 4 was observed to first increased and then decreased. Among them, PPor2-g-C 3 N 4 showed the strongest current density, proving that PPor2-g-C 3 N 4 has the strongest electron transfer effect.
The electrochemical experiments were further carried out to evaluate the effect of the MW of PPor-C≡CH on the electron transfer effect of PPorx-g-C 3 N 4 . As shown in Figure 7A, the Mott-Schottky (MS) plots of g-C 3 N 4 -N 3 , PPor1-C≡CH, PPor2-C≡CH and PPor3-C≡CH exhibited a positive slope, which indicated that all samples were n-type semiconductors (Yang et al., 2020). The flat band potentials (E fb ) of g-C 3 N 4 -N 3 , PPor1-C≡CH, PPor2-C≡CH and PPor3-C≡CH were -0.52 V, -0.94 V, -0.70 V and -0.57 V, respectively, which was measured from the intersection of Cs −2 -0 linear curve. And the CB edge potential (E CB ) of g-C 3 N 4 -N 3 , PPor1-C≡CH, PPor2-C≡CH and PPor3-C≡CH were calculated to be -0.50 V, -0.92 V, -0.68 V and -0.55 V, FIGURE 3 (A) N 1s XPS spectra of g-C 3 N 4 -N 3 , PPor1-C≡CH and PPor1g-C 3 N 4 .
Frontiers in Chemistry frontiersin.org respectively, which according to the formula (E CB (NHE, pH = 7) = E fb (SCE, pH = 7) +0.225-0.2) (Wang et al., 2017). Furthermore, the bandgap energy (E g ) values of g-C 3 N 4 -N 3 was calculated to be 2.50 eV, PPor1-C≡CH, PPor2-C≡CH, and PPor3-C≡CH were calculated to be 1.87 eV, 1.85 eV and 1.83 eV, respectively, based on the Tauc Plot transformed from UV-vis DRS spectra (Supplementary Figure S5 and Figure 7B) (Xu et al., 2019). The reduction of the bandgap of PPorx-C≡CH is associated with the increased conjugacy of porphyrin, which becomes more pronounced as the MW of PPorx-C≡CH increases (Qiu et al., 2013). Based on the empirical formula E VB = E CB + E g , the VB edge potential (E VB ) of g-C 3 N 4 -N 3 , PPor1-C≡CH, PPor2-C≡CH and PPor3-C≡CH were calculated to be 2.00 V, 0.95 V, 1.17 V and 1.28 V, respectively. Consequently, the interlaced band structures of g-C 3 N 4 -N 3 and PPorx-C≡CH could be obtained (Ismael, 2022). The electron transfer process in the PPorx-g-C 3 N 4 is shown in Figure 8. Under irradiation, pPorx group and g-C 3 N 4 group could be excited and produce abundant e − and h + at the same time. Due to their staggered band structure, the electron transfer process was as follows: e − could transfer from the CB of PPorx group to the CB of g-C 3 N 4 group and h + on the VB of g-C 3 N 4 group could move to the VB of PPorx group. Thus, PPorx group could behave as the electron donor, and g-C 3 N 4 group as the electron acceptor in PPorx-g-C 3 N 4 nanohybrids. Moreover, as the MW of PPorx-C≡CH increased, the energy difference between the E CB of PPorx-C≡CH and the E CB of g-C 3 N 4 -N 3 decreased, which might result in lower electron transfer effect. However, the electron transfer efficiency of PPorx-g-C 3 N 4 was observed to increase first and then decrease based on the photocurrent response experiment, which might be explained as follows. The PPorx group in the PPorx-g-C 3 N 4 was increased after the click chemistry reaction with the increase of the MW of PPorx-C≡CH, causing the enhanced electron transfer effect. However, the MW of PPorx-C≡CH is gradually increased to a certain extent, and it contributes to steric hindrance increase, which hinders the click chemistry reaction between PPorx-C≡CH and g-C 3 N 4 -N 3 , and then, the pPorx group in the PPorx-g-C 3 N 4 was decreased, leading to a diminished electron transfer effect. Consequently, the electron transfer effect exerts a trend of first increasing and then decreasing.
Frontiers in Chemistry frontiersin.org

Non-linear optical properties of PPorxg-C 3 N 4 nanohybrids
The NLO performances of PPorx-g-C 3 N 4 nanohybrids were investigated in MMA by the Z-scan technique with 7 ns laser pulses of 532 nm. Generally, the value of the non-linear absorption coefficient (β eff ) was used to evaluate the reverse saturable absorption (RSA) performance. The excellent RSA performance would result in a large β eff and a deep "V" shaped absorption curve. As shown in Figure 9, the RSA performance of PPor1-g-C 3 N 4 nanohybrid was better than the corresponding PPor1-C≡CH and g-C 3 N 4 -N 3 . The β eff of PPor1-g-C 3 N 4 was calculated to be 3.4 × 10 -9 m/W, and Im [χ (3) ] value was calculated to be 1.11 × 10 -10 esu, which was ca. 5.76 times higher if compared to PPor1-C≡CH (Im [χ (3) ] of 0.16 × 10 -10 esu), attributing to the PET behavior between PPor1 group and g-C 3 N 4 group in PPor1-g-C 3 N 4 . The NLO properties of PPorx-g-C 3 N 4 in MMA are listed in Table 1 [for comparison, the results of covalently linked 5-(4-hydroxylphenyl)-10,15,20-triphenylporphyrin-g-C 3 N 4 (Por-g-C 3 N 4 ) is also provided (Supplementary Figure S6)]. From Table 1, PPor1-g-C 3 N 4 and

FIGURE 8
The schematic diagrams of the proposed electron transfer under visible light irradiation in (A) PPor1-g-C 3 N 4 , (B) PPor2-g-C 3 N 4 and (C) PPor3g-C 3 N 4 .
Frontiers in Chemistry frontiersin.org PPor2-g-C 3 N 4 show larger Im [χ (3) ] value than that of Por-g-C 3 N 4 , proving that the introduction of porphyrin-based polymer into g-C 3 N 4 effectively improve the aggregation behavior of porphyrins and enhanced the NLO performance of the nanohybrids. PPor2-g-C 3 N 4 exhibited the best NLO performance among PPorx-g-C 3 N 4 with β eff of 4.5 × 10 -9 m/W and Im [χ (3) ] of 1.47 × 10 -10 esu, respectively, due to the efficient PET from PPor2 group to g-C 3 N 4 group in PPor2-g-C 3 N 4 , so that PPor2g-C 3 N 4 exhibits the best NLO performance in MMA.
To study the practicality of PPorx-g-C 3 N 4 , the PPorx-g-C 3 N 4 was doped PMMA to form PPorx-g-C 3 N 4 /PMMA composites via solution casting technology (described in supporting information). Figure 10A showed the RSA performance of PPorx-g-C 3 N 4 / PMMA (0.05 mg/ml), and the results were listed in Table 2. Compared with PPorx-g-C 3 N 4 in MMA (Table 1), the NLO performance of PPorx-g-C 3 N 4 /PMMA composites was improved, which might be owing to the weaker aggregation effect in the solid matrix (Wang J. et al., 2020). Among them, PPor2-g-C 3 N 4 /PMMA composite exhibited the deepest trough, with the excellent β eff of 7.2 × 10 -9 and Im [χ (3) ] of 2.36 × 10 -10 esu, respectively. Furthermore, the photographs of PPor1-g-C 3 N 4 / PMMA, PPor2-g-C 3 N 4 /PMMA and PPor3-g-C 3 N 4 /PMMA composites were shown in Figure 10B, all of them showed excellent transparency, demonstrating the great potential in practical application.
The optical limiting (OL) properties of the PPorx-g-C 3 N 4 / PMMA composites are shown in Figure 11A. Under the condition of low input fluence, the output fluence of PPorx-g-C 3 N 4 /PMMA composites promoted with the increase of input fluence, displaying a linear optical property. However, as the input fluence was further increased, PPor1-g-C 3 N 4 /PMMA, PPor2-g-C 3 N 4 /PMMA and PPor3-g-C 3 N 4 /PMMA composites showed obvious non-linear trends, and their initial thresholds were determined to be 0.401 J/cm 2 , 0.058 J/cm 2 and 0.464 J/cm 2 , respectively. Figure 11B shows the relationship between the input fluence and the normalized transmittance, where the black dotted line represents 50% of the initial transmittance. From Figure 11B, the decreasing normalized transmittance of all PPorx-g-C 3 N 4 /PMMA composites was associated with the increase of the input fluence. Among them, the PPor2-g-C 3 N 4 /PMMA composite exerted the best OL performance, with the limiting threshold of 1.71 J/cm 2 , the minimum transmittance of 8% and the dynamic range of 1.09, respectively, which might be owing to the excellent PET from PPor2 group to g-C 3 N 4 group in PPor2-g-C 3 N 4 . Some reported OL performances of the porphyrin-based materials are summarized in Table 3, and our OL data demonstrate that PPorx-g-C 3 N 4 / PMMA composites are among the best performing materials for this purpose. In practical application, the damage threshold was an important criterion to measure the stability of the material, interpreting no optical damage occurrence under this input fluence condition. There was no obvious damage observed for PPorx-g-C 3 N 4 /PMMA composites even if the input fluence reached 16 J/cm 2 , which could be owing to the good thermal stability of each fraction in PPorx-g-C 3 N 4 /PMMA composites. These results proved that the PPorx-g-C 3 N 4 /PMMA composites had good application prospects in the OL field.

Conclusion
In summary, a flurry of novel porphyrin-based polymers functionalized g-C 3 N 4 nanohybrids PPorx-g-C 3 N 4 had been prepared. The PPorx-g-C 3 N 4 nanohybrids exhibited improved NLO performance compared to single g-C 3 N 4 -N 3 and PPorx-C≡CH using the Z-scan technique under 532 nm in ns regimes. Among them, due to the suitable molecular weight and steric hindrance, the efficient PET from PPor2 group to g-C 3 N 4 group in PPor2-g-C 3 N 4 gave PPor2-g-C 3 N 4 the best NLO performance among PPorx-g-C 3 N 4 with β eff of 1.47 × 10 -10 esu. For practical application, the PPorx-g-C 3 N 4 doped PMMA composites were prepared by the solution casting method. PPor2-g-C 3 N 4 /PMMA composite exhibited the best Im [χ (3) ] of 2.36 × 10 -10 esu, initial threshold of 0.058 J/cm 2 and dynamic range of 1.09, indicating its great potential for practice. This research provided a new strategy for the design of porphyrin-based nanohybrid for NLO application.

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Initial threshold (J/cm 2 ) The dynamic range References