Supporting Information Triplet harvesting in poly(9-vinylcarbazole) and poly(9-(2,3-epoxypropyl) carbazole) doped with CdSe/ZnS quantum dots encapsulated with 16-(Ncarbazolyl) hexadecanoic acid ligands Adis Khetubol,1 Sven Van Snick,2 Egle Stanislovaityte,3 Antti Hassinen,4 Eduardo Coutiño-González,1 Willem Vanderlinden,1 Yuliar Firdaus,1 Eduard Fron,1 Maarten Vlasselaer,2 Jurate Simokaitiene,3 Steven De Feyter,1 Zeger Hens,4 Juozas V. Grazulevicius,3 Wim Dehaen,2 and Mark Van der Auweraer1 1 Molecular Imaging and Photonics, Chemistry Department, Katholieke Universiteit Leuven, Leuven, B3001, Belgium 2 Molecular Design and Synthesis, Chemistry Department, Katholieke Universiteit Leuven, Leuven, B3001, Belgium 3 Department of Organic Technology, Kaunas University of Technology, Kaunas, LT 3028, Lithuania 4 Physics and Chemistry of Nanostructures, Department of Inorganic and Physical Chemistry, Gent, B9000, Belgium Correspondence to: Mark Van der Auweraer (E-mail: mark.vanderauweraer@chem.kuleuven.be) 1 S1. Synthesis and Characterization of 16-(N-carbazolyl) hexadecanoic acid ligands General Procedure 1. Synthesis of methyl-16-bromohexadecanoate To a well-stirred solution of 16-bromohexadecanoic acid (1670 mg, 5.0 mmol) and 50 mL methanol was added a catalytic amount of concentrated sulphuric acid. The reaction mixture was heated to reflux and stirred overnight. To the mixture was then added a saturated solution of NaHCO3 until no more CO2 evolved, followed by extraction with Et2O (3x50 mL). The organic layers were combined, washed with brine, dried on anhydrous MgSO4 and concentrated by rotary evaporation. This yielded the methyl-16bromohexadecanoate as a white solid (1132 mg, 65%). 1H NMR (300 MHz, CDCl3): δ 1.26 (br, 20 H), 1.42 (br, 2 H), 1.62 (br, 2 H), 1.85 (m, 2 H), 2.30 (t, 2 H), 3.40 (t, 2 H), 3.66 (s, 3 H). 16-Carbazol-9-yl- hexadecanoic acid (C16) To a suspension of K2CO3 (1591 mg, 8.9 mmol) in CH3CN (25 mL) were added carbazole (500 mg, 3.0 mmol) and methyl-16-bromohexadecanoate (1002 mg, 3.6 mmol) in one portion. The reaction mixture was heated to reflux and stirred for 3 days. The inorganic salts were removed by filtration and the filtrate was concentrated by rotary evaporation. Purification by column chromatography (petroleum ether ethylacetate 8/2) yielded a yellow oil, to which 10 mL NaOH (2M) was added. Stirring overnight at 100°C resulted in a transparent solution from which C16 was precipitated as a grey solid by acidifying the reaction mixture. This precipitate was filtered, washed with H2O (3 x 10 mL) and dried in vacuo to give 212 mg (17 %) of C16. Mp: 89.7 °C. 1H NMR (400 MHz, CDCl3): δ 1.24 (br, 22 H), 1.60 (m, 2 H), 1.86 (m, 2 H), 2.34 (t, J = 7.5 Hz, 2 H), 4.29 (t, J = 7.2 Hz, 2 H), 7.22 (m, 2 H), 7.45 (m, 4 H), 8.09 (d, J = 7.72 Hz, 2 H). S2. Synthesis of poly(9-(2-3-epoxypropyl) carbazole) (PEPK) Cationic polymerization of 9-(2-3-epoxypropyl)carbazole initiated with BF3•O(C2H5)2 (0.1 mol% with respect to monomer) was carried out in dry 1,2-dichloromethane solution at room temperature for 20 h. The initial concentration of a monomer was 1 mol/l. The polymer was isolated by precipitation in methanol containing aqua ammonia which was added for neutralization of the initiator. The low molecular weight fraction of the polymer was removed by Soxhlet extraction with methanol for 70 h. Then the polymer was re-precipitated. Poly(9-(2-3-epoxypropyl)carbazole) (PEPK) was obtained as white amorphous powder with the yield of 80%. 1H NMR (300 MHz, CDCl3), δ (ppm): 2.27-4.53 (m, 5H, CH2, CH2, CH), 6.76-7.56 (m, 6H, Ar), 7.81-8.09 (m, 2H, Ar).IR (KBr, cm-1): 3048 (C-H arene); 2928, 2870 (C- 2 H aliphatic); 1626, 1597, 1484, 1453 (C=C arene); 1325 (C=C, C-N arene); 1130, 1121 (C-O-C); 749, 722 γ (C-H arene). S3. Sample Preparation and Characterization Sample Preparation All the solution samples used for the determination of the fluorescence quantum yields and for the time-resolved PL measurements were diluted until the optical density was approximately 0.1 at the excitation wavelength. The relative fluorescence quantum yields (QYs) of the solution samples upon excitation at 330 and 440 nm were determined using respectively a solution of quinine sulfate in 0.1 N H2SO4 and fluorescein in 0.1 N NaOH as a reference standard. Quartz substrates for the thin film samples were cleaned by acetone, alkaline solution for cleaning, and water and then dried with air flow. Polymer and doped polymer (with QDs) films were prepared by spin-coating from the solutions in CB with a fixed concentration of the polymer (20 mg/ml) on the prepared substrates. The spin-coating rotation rate and the duration amounted to respectively 1000 rpm and 60 seconds for the deposition of the films. Sample Characterization Steady-state absorption and corrected PL spectra were recorded with a Lambda 40 (Perkin-Elmer) and SPEX Fluorolog spectrophotometer, respectively. The fluorescence spectra were corrected for the wavelength dependence of the sensitivity of the detection system and of the intensity of the excitation beam. The fluorescence decays were determined by single photon timing (SPT). The excitation wavelength of 330 nm was obtained using the third harmonic of a Ti:sapphire laser (Tsunami, Spectra Physics) with a repetition rate of 8.1 MHz using a pulse picker (GWU). The Ti:sapphire laser was pumped by an intracavity frequency doubled Millenia laser (Spectra Physics). For the excitation at 440 nm the second harmonic of the Ti:sapphire laser (Tsunami, Spectra Physics) was used. The detection system consists of a subtractive double monochromator (9030DS, Sciencetech) and a microchannel plate photomultiplier (R3809U, Hamamatsu). Fluorescence decays were recorded under magic angle polarization. A time-toamplitude converter (TAC), and an analog-to-digital converter (ADC) on a PC board (PICOQUANT) were used to obtain the fluorescence decay histograms in 4096 channels with time increments of 20-30 ps/channel. The fluorescence decays were globally analyzed as a sum of exponentials with the timeresolved fluorescence analysis (TRFA) software. The quality of the fit was controlled by χ2 < 1.1 and visual inspection of the residuals.1-2 3 All AFM experiments were performed on a commercial AFM system (Multimode AFM equipped with a Nanoscope IV controller and a type E scanner; Veeco Instruments) in amplitude modulation mode using Si cantilevers (AC160TS; spring constant 21-60 /m, resonance frequency of ca. 300 kHz, Olympus Japan). Imaging (tapping mode in ambient air condition) was performed at a 5 percent reduction of the free air amplitude using optimized feedback parameters. Topography images were acquired at a scan rate of 1.5 scan lines per second and with a pixel size of ~ 8 nm. Image processing and analysis was performed using the SPIP software package (v.6.0.6.; Image Metrology ApS). Processing involved plane correction using a third degree polynomial global correction procedure as well as line-wise correction via histogram alignment. The z-offset method was performed by setting the minimum z value to zero. The root-mean square roughness Sq and the height distribution was determined using the SPIP software to quantitatively evaluate the surface morphology.3 S4. Characterization of C16 covered QDs by NMR spectroscopy The C16 capped QD sample for the NMR measurement was prepared by the procedure for the postsynthesis encapsulation detailed in the Experimental Section. In contrast to the QDs used for optical spectroscopy experiments the QDs were purified two times and redissolved in CDCl3 after the reaction in chlorobenzene. 1 H nuclear magnetic resonance (NMR) was used to confirm the binding of the C16 ligands to the dissolved QDs. Figure S1 shows the 1H NMR spectra of (a) a solution in CDCl3 of the free C16 ligand and (b) a solution in CDCl3 of the QDs capped with the C16 ligand after addition of 2 μl CH2Br2. Upon binding to the QDs the T2 of the carbazole protons decreases drastically due to decreased mobility leading to broad lines. The sharp peak at ~ 7.26 ppm, which is seen in both spectra, is attributed to the NMR signal of residual CHCl3 in the solvent (CDCl3).4 4 FIGURE S1 1H spectra of (a) pristine C16 ligands and (b) the QDs capped with the C16 ligand in CDCl 3. To the QD sample 2 μl of CH2Br2 was added corresponding to a molecular ratio of 1:363 for the ratio QDs:CH2Br2. By adding a known amount of CH2Br2 to the a known volume of a solution with a known concentration of the QDs the number of ligands per QD can be estimated.5 In this case, 2 μl of CH2Br2 was added to the C16 capped QD solution corresponding to a final molecular ratio of 1:363 of QD:CH2Br2. The sharp peak at ~ 4.8 ppm in the solution of the QDs is attributed to CH2Br2. From the ratio of the area under the CH2Br2 resonance and the area under one of the carbazole resonances (8.09 ppm) which was normalized to one, a number of 62 ligands/QD or 5 1.7 ligands/nm2 was estimated. The density of ligands per unit area (nm2) was determined corresponding to the average size of the core-shell QDs estimated from a TEM image in [ref. 3]. S5. Fluorescence quantum yield of C16 capped QDs in polymer films The fluorescence quantum yield of the C16 capped QDs in the polymer was estimated in the following way; 4 Counts 10 10 3 10 20 30 40 50 60 70 80 90 Time (ns) FIGURE S2 Fluorescence decays of C16 capped CdSe/ZnS QDs in chlorobenzene solution (grey) and PVK film (red). Excitation occurred at 440 nm and the decay of the emission was recorded at 490 nm. TABLE S1 Fluorescence decay times and amplitudes recovered from the fluorescence decays of C16 capped CdSe/ZnS QDs in Figure S2. Samples A1 (%) A2 (%) A3 (%) τ1 (ns) τ2 (ns) τ3 (ns) <τ> ns QDs (C16) solution 21.97 38.77 39.26 1.88 10.33 20.14 12.33 Doped PVK film 29.51 53.85 16.64 1.83 6.60 18.52 7.18 The fluorescence decays were analyzed as a sum of three exponentials [Equation (S1)]. As the exact origin of this non-exponential decay is outside the scope of this manuscript no direct physical meaning should be given to decay times and amplitudes. A possible explanation for the multi-exponential decay could be trapping of electrons or holes in shallow intrabandgap states.6 6 𝐼 (𝑡) = 𝐴1 𝑒𝑥𝑝(−𝑡⁄𝜏1 ) + 𝐴2 𝑒𝑥𝑝(−𝑡⁄𝜏2 ) + 𝐴3 𝑒𝑥𝑝(−𝑡⁄𝜏3 ) (S1) Those parameters are just used to calculate the amplitude weighted average decay time [Equation (S2)] 〈𝜏〉 = ∑𝑖 𝐴𝑖 𝜏𝑖 ∑ 𝑖 𝐴𝑖 (S2) Assuming an identical radiative decay rate for the QDs in a solution in CB and in the PVK and PEPK films the combination of the average decay times with the fluorescence quantum yield of 0.45±0.05 for the C16 capped QDs dissolved in CB yields a fluorescence quantum yield of 0.26±0.03 for C16 capped QDs in PVK film. As we have seen before in Khetubol et al.,1 the decrease of the average fluorescence decay time of the QDs in a polymer film compared to a solution in CB was also observed for QDs incorporated in an “inert” polymer film as polystyrene. Hence it is unlikely that this decreased decay time is due to hole injection from the valence band of the excited QD into the HOMO of polymer. In the following calculations for triplet energy transfer efficiencies, we shall also use this estimated value (0.26±0.03) as the QY of the C16 capped QDs in PEPK film. S6. Analysis of the fluorescence decays of pristine polymer films and polymer films doped with C16 capped QDs The fluorescence decays were analyzed as a sum of three exponentials [Equation (S1)] yielding the amplitudes and decay times shown in Table S2 and Table S3. From the amplitude weighted average fluorescence decay time [Table S2 and Table S3] the efficiency of the singlet energy transfer ( SENT ) [Table S2 and Table S3] can be estimated by following expression; 𝑆 Φ𝐸𝑁𝑇 =1− 〈𝜏𝐷𝐴 〉 ⁄〈𝜏 〉 𝐷 (S3) 𝑆 where Φ𝐸𝑁𝑇 is the singlet energy transfer efficiency, 〈𝜏𝐷 〉 and 〈𝜏𝐷𝐴 〉 are the amplitude-weighted fluorescence decay time of the donor (carbazole) in the absence and presence of the acceptor (QDs), respectively.1,7,8 7 TABLE S2 Fluorescence decay amplitudes and decay times as well as amplitude weighted average fluorescence decay times [Equation (S2)] corresponding to the fluorescence intensity decays in Figure 6(a) and 6(b) of the pristine PVK film and doped PVK films with C16 capped QDs. 〈𝜏〉 SENT 𝜆𝑒𝑚 = 370 nm A1 (%) A2 (%) A3 (%) 𝜏1 (ns) 𝜏2 (ns) 𝜏3 (ns) PVK 47.86 26.07 26.07 0.88 4.31 23.83 7.76 5% 50.64 25.36 24.00 0.87 4.45 23.37 7.18 0.075±0.004 10% 53.48 24.53 22.00 0.86 4.59 23.03 6.65 0.143±0.007 30% 53.97 26.66 19.37 0.55 3.58 22.02 5.52 0.29±0.01 𝜆𝑒𝑚 = 410 nm A1 (%) A2 (%) A3 (%) 𝜏1 (ns) 𝜏2 (ns) 𝜏3 (ns) PVK 37.13 0.11.53 51.34 2.11 6.64 26.68 15.25 5% 34.25 15.07 50.68 1.55 5.61 26.34 14.72 0.034±0.002 10% 35.79 15.38 48.82 1.50 6.03 26.02 14.17 0.071±0.004 30% 35.04 17.68 47.27 1.38 5.67 25.18 13.39 0.122±0.006 〈𝜏〉 SENT TABLE S3 The fluorescence decay amplitudes and fluorescence decay times as well as amplitude weighted average fluorescence decay times [Equation (S2)] corresponding to the fluorescence intensity decays in Figure 6(c) and 6(d) of the pristine PEPK and doped PEPK films with C16 capped QDs. 〈𝜏〉 SENT 𝜆𝑒𝑚 = 368 nm A1 (%) A2 (%) A3 (%) 𝜏1 (ns) 𝜏2 (ns) 𝜏3 (ns) PEPK 65.21 28.88 5.91 2.15 3.90 12.81 3.29 5% 64.34 30.73 4.92 1.86 3.39 11.65 2.81 0.144±0.007 10% 58.26 37.72 4.02 1.47 2.73 10.28 2.30 0.300±0.015 30% 70.83 26.26 2.91 1.28 2.73 11.00 1.94 0.41±0.02 𝜆𝑒𝑚 = 405 nm A1 (%) A2 (%) A3 (%) 𝜏1 (ns) 𝜏2 (ns) 𝜏3 (ns) PEPK 0.002 83.74 16.26 2.38 3.31 13.37 4.94 5% 2.43 83.87 13.70 3.13 3.07 13.01 4.43 0.104±0.005 10% 12.63 74.02 13.35 2.34 2.70 11.76 3.86 0.22±0.01 30% 31.05 53.51 15.44 1.88 2.52 10.64 3.58 0.28±0.01 〈𝜏〉 SENT S7. Estimation for the efficiency of triplet energy transfer to the QDs in the doped polymer films1 As an example we show the calculation of the fluorescence quantum efficiency for triplet transfer in a PVK film with a loading of 5 wt% of C16 capped QDs. Upon excitation at 330 nm the fluorescence quantum yield of the carbazole emission in the PVK film loaded with the QDs amounts to 8 f 0f 1 SENT . With 0f = 0.16 ±0.031 and SENT = 0.034±0.002 (λem = 410 nm), the latter determined from the fluorescence decay at the emission wavelength of 410 nm. The fluorescence quantum yield of the QD emission upon excitation at 330 nm, 330 f ,QD , is that of the carbazole emission in the PVK film with QDs multiplied by the ratio between the area under the emission band of the QDs and that of carbazole which amounts to 0.43±0.02. This gives a fluorescence quantum yield, 330 f ,QD of 0.066±0.017 for the QD emission. The fluorescence quantum yield of the QD emission due to singlet 440 energy transfer, Sf ,QD , is given by Sf ,QD SENT 440 f ,QD where f ,QD is the fluorescence quantum yield of the QDs upon direct excitation at 440 nm and which amounts to 0.26±0.04. Hence Sf ,QD amounts to 0.009±0.002. The fluorescence quantum yield of the QDs upon excitation at 330 nm due to triplet S energy transfer amounts then to Tf ,QD 330 f ,QD f ,QD or 0.057±0.018. This corresponds to 0 S Tf ,QD ISC TENT 440 f ,QD . As ISC ISC 1 ENT and assuming that in pristine PVK the excited state of carbazole decays either by fluorescence or intersystem crossing,9 0ISC 1 0f . With 0f = 0.16±0.03, ISC amounts to 0.81±0.03. Hence T ENT Tf ,QD 440 f ,QD ISC ≈ 0.27±0.12. By applying this method for all the doped film samples, the different parameters obtained by the 𝑇 calculations including the estimated values of Φ𝐸𝑁𝑇 for the PVK and PEPK films doped with 5, 10, and 30 wt% QDs are presented in the Table S4 and Table S5. For the doped PVK films the estimation was performed based on the fluorescence decays at 410 nm. For the doped PEPK films the calculations were performed using both the fluorescence decays at 368 and at 405 nm [Table S3]. The calculations were based on the average fluorescence quantum yield for fluorescence (Φ𝑓0 ) (0.21±0.04) and intersystem 0 crossing (Φ𝐼𝑆𝐶 ) (0.79±0.04) determined for a pristine film of PEPK. For PEPK one should note that at 368 nm an important part of the emission is due to carbazole monomers with a smaller (about 1.2 instead of about 4) ratio between the quantum yields of intersystem crossing and fluorescence compared to the fexcimer. This means that for PEPK the data based on analysis of the fluorescence decays at 368 nm probably overestimate the quantum yield of intersystem crossing and hence somewhat underestimate 𝑇 Φ𝐸𝑁𝑇 . 9 𝑆 TABLE S4 Singlet transfer quantum yields (Φ𝐸𝑁𝑇 ) and parameters used for the calculations of triplet 𝑇 energy transfer efficiencies (Φ𝐸𝑁𝑇 ) to QDs in doped PVK films based on recorded fluorescence decays of PVK at 370 and 410 nm. 𝝀𝒆𝒎 370 nm 410 nm f QD conc . SENT S 330 f ,QD f ,QD Tf ,QD ISC TENT 5% 0.075±0. 004 10% 0.143 ±0.007 30% 0.29 ±0.01 5% 0.034 ±0.002 0.16±0 .03 0.43±0.02 0.07±0 .02 0.009±0. 001 0.06±0 .02 0.81±0 .03 0.27±0 .12 10% 0.071 ±0.004 0.15±0 .03 0.56±0.03 0.08±0 .02 0.019±0. 003 0.06±0 .02 0.78±0 .03 0.31±0 .16 30% 0.122 ±0.006 0.14±0 .03 0.74±0.04 0.10±0 .03 0.032±0. 005 0.07±0 .03 0.74±0 .03 0.37±0 .22 Emission ratio QD:PVK * ENT : singlet energy transfer quantum yield, S f : fluorescence quantum yield of PVK (PEPK) in the presence of C16 capped QDs, Emission ratio QD:PVK (QD:PEPK): ratio of the area under the emission of the QDs and that of PVK (PEPK) in the S 330 f ,QD : fluorescence quantum yield of the QD emission upon excitation at 330 nm; f ,QD fluorescence spectra, quantum yield of the QD emission due to singlet energy transfer, triplet energy transfer, ISC : fluorescence T f ,QD : fluorescence quantum yield of the QD emission due to intersystem crossing quantum yield in a presence of quenching, TENT : triplet energy transfer efficiency. 𝑆 TABLE S5 Singlet transfer quantum yields (Φ𝐸𝑁𝑇 ) and parameters from the calculations of triplet energy 𝑇 transfer efficiencies (Φ𝐸𝑁𝑇 ) to QDs in doped PEPK films based on recorded fluorescence decays of PEPK at 368 and 405 nm. 𝝀𝒆𝒎 368 nm 405 nm QD conc . SENT f 5% 0.144±0. 0007 0.19±0 .03 10% 0.300±0. 015 30% S 330 f ,QD f ,QD Tf ,QD ISC TENT 0.31±0.02 0.06±0 .01 0.038±0. 002 0.02±0 .01 0.67±0 .03 0.11±0 .09 0.15±0 .02 0.56±0.03 0.09±0 .02 0.079±0. 005 0.01±0 .02 0.55±0 .03 0.05±0 .16 0.41±0.0 2 0.13±0 .02 1.49±0.07 0.19±0 .04 0.107±0. 007 0.09±0 .05 0.46±0 .03 0.72±0 .48 5% 0.104±0. 005 0.20±0 .03 0.31±0.02 0.06±0 .01 0.027±0. 002 0.03±0 .01 0.70±0 .03 0.18±0 .08 10% 0.22±0.0 1 0.17±0 .03 0.56±0.03 0.10±0 .02 0.057±0. 004 0.04±0 .02 0.61±0 .03 0.24±0 .16 30% 0.28±0.0 1 0.16±0 .02 1.49±0.07 0.24±0 .05 0.072±0. 005 0.17±0 .05 0.56±0 .03 1.1±0. 4 * See the caption under Table S4 10 Emission ratio QD:PEPK 1. A. Khetubol, S. Van Snick, A. Hassinen, E. Fron, Y. Firdaus, L. Pandey, C. 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