Structure-property relationships for 1,7-diphenoxy-perylene. bisimides in solution and in the solid state

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Electronic Supplementary Information (ESI) for Structure-property relationships for 1,7-diphenoxy-perylene bisimides in solution and in the solid state Ángel J. Jiménez, a Mei-Jin Lin, a Christian Burschka, a Johannes Becker, b Volker Settels, b Bernd Engels, b and Frank Würthner* a a Universität Würzburg, Institut für Organische Chemie and Center for Nanosystems Chemistry, Am Hubland, 97074 Würzburg, Germany. Fax: +49/931/31-84756 Tel: +49/931/31-85340; E-mail: wuerthner@chemie.uni-wuerzburg.de b Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Am Hubland, 97074 Würzburg, Germany. Table of Contents: 1. Materials and Methods S2 2. Synthesis S3 3. Single Crystal X-ray Analysis S5 4. Absorption and Fluorescence Spectra in Solution and in the Solid State S8 5. Theoretical calculation details S13 6. 1 H and 13 C NMR spectra of PBIs S16 7. References S19 S1

1. Materials and Methods Ortho-cresol, 2,6-dimethylphenol, 2,6-diisopropylphenol, potassium carbonate ( 99%) and N-methyl-2-pyrrolidone (NMP, 99.5%) were obtained from commercial suppliers. All chemicals and reagents were used as received unless otherwise stated. NMP was fractionally distilled prior to use and potassium carbonate was dried under vacuo at 100 C for 24 h. N,N -Dicyclohexyl-1,7-dibromoperylene-3,4:9,10-tetracarboxylic acid bisimide (2), reference compound N,N -dicyclohexyl-3,4:9,10-tetracarboxylic acid bisimide (4a), N,N -dicyclohexyl-1,7-diphenylperylene-3,4:9,10-tetracarboxylic acid bisimide (4b), and N,N -dicyclohexyl-1,7-diphenylphenoxyperylene-3,4:9,10-tetracarboxylic acid bisimide (4f) were prepared according to literature procedures. S1 Flash column chromatography was performed using silica gel (Si 60, mesh size 40-63 μm) from Merck. NMR spectra were recorded with a Bruker Avance 400 MHz instrument. Chemical shifts are given in parts per million (ppm) and referred to TMS as internal standard. 1 H coupling constants J are given in Hertz (Hz). MALDI-TOF mass spectra were recorded on an Autoflex II from Bruker Daltonics spectrometer. ESI-TOF mass spectra were recorded on a Bruker Daltonics microtof focus instrument. All the solvents used for the spectroscopic measurements were of spectroscopic grade (Uvasol ) and were used without further purification. The UV/Vis spectra were recorded on a Perkin Elmer PE 950 spectrometer equipped with a PTP-1 Peltier element for temperature control and corrected against the reference solution. The fluorescence spectra were recorded with a PTI QM-4/2003 instrument. All fluorescence measurements were performed under ambient conditions and corrected against photomultiplier and lamp intensity. The fluorescence quantum yields were determined as the average value for three different excitation wavelengths using N,N -di(2,6-di-isopropylphenyl)-perylene-3,4:9,10- tetracarboxylic acid bisimide as reference (Φ f = 1.00 in dichloromethane S2 ) by applying high dilution conditions (A < 0.05). Solid state absorption spectra of PBIs 4a and 4b were determined by applying the Kubelka-Munk theory to reflectance spectra of trituration of PBIs in BaSO 4 measured with a Lambda 950 UV/Vis/NIR spectrometer of Perkin Elmer equipped with an integrating sphere. Absolute fluorescence quantum yields were S2

determined on a Hamamatsu Absolute PL Quantum Yield Measurement System CC9920-02. The system is made up of an excitation source that uses a 150 W CW Xenon light source, a monochromator (250-700 nm, FWHM 10 nm), an integrating sphere, and a multichannel spectrometer capable of simultaneously measuring multiple wavelengths between 300 and 950 nm and counting the number of absorbed and emitted photons. 2. Synthesis of PBIs Procedure: To a degassed solution of PBI 2 (0.35 g, 0.49 mmol) and potassium carbonate (200 mg, 2.30 mmol) in dry NMP (20 ml) under argon, excess amounts of ortho-cresol 3c, 2,6-dimeyhylphenol 3d, or 2,6-diisopropylphenol 3e (1.20 mmol) were added and the mixture was stirred at 120 C for 3 h. After being cooled to room temperature, the reaction mixture was slowly dropped into 250 ml of 1N HCl under stirring. The solid material was separated by filtration and then washed successively with water (3 30 ml) and methanol (3 30 ml). The crude product was purified by column chromatography on silica gel using CH 2 Cl 2 as an eluent and afforded red solid PBIs 4c, 4d and 4e in 87%, 74% and 88% yield, respectively. PBI 4c: M.p.: 399 C; 1 H NMR (400 MHz, CD 2 Cl 2, ppm): δ = 9.66 (d, J = 8.0 Hz, 2H), 8.54 (d, J = 8.0 Hz, 2H), 8.08 (s, 2H), 7.43 (dd, J = 1.0 Hz, 2H), 7.3-7.2 (m, 4H), 7.02 (dd, J = 1.0 Hz, 2H), 5.0-4.9 (m, 2H), 2.5-2.4 (m, 4H), 2.36 (s, 6H), 1.9-1.8 (m, 4H), 1.7-1.6 (m, 6H), 1.4-1.3 (m, 4H), 1.3-1.2 (m, 2H). 13 C NMR (100 MHz, CDCl 3, ppm): δ = 163.8, 163.4, 155.7, 152.7, 133.4, 132.3, 130.0, 129.9, 129.3, 128.8, 128.0, 125.7, 124.7, 124.3, S3

122.6, 122.5, 121.7, 120.3, 54.0 29.1, 26.5, 25.4, 16.2. ESI-TOF-MS, calculated for C 50 H 42 N 2 O 6 : 766.3043; found: m/z = 766.3112. PBI 4d: M.p.: 232 C; 1 H NMR (400 MHz, CD 2 Cl 2, ppm): δ = 9.78 (d, J = 8.0 Hz, 2H), 8.51 (d, J = 8.0 Hz, 2H), 7.81 (s, 2H), 7.22-7.16 (m, 6H), 4.91-4.83 (m, 2H), 2.34-2.34 (m, 4H), 2.12 (s, 12H), 1.80-1.77 (m, 4H), 1.63-1.60 (m, 6H), 1.39-1.29 (m, 6H). 13 C NMR (100 MHz, CDCl 3, ppm): δ = 164.1, 163.7, 155.9, 150.9, 134.0, 131.5, 130.1, 129.7, 129.6, 126.7, 124.9, 124.8, 122.9, 121.4, 118.5, 54.0, 29.4, 26.9, 25.9, 16.5. ESI-TOF-MS, calculated for C 52 H 46 N 2 O 6 : 794.3356; found: m/z = 794.3428. PBI 4e: M.p.: 198 C; 1 H NMR (400 MHz, CD 2 Cl 2, ppm): δ = 9.87 (d, J = 8.0 Hz, 2H), 8.57 (d, J = 8.0 Hz, 2H), 7.94 (s, 2H), 7.43-7.38 (m, 6H), 4.97-4.90 (m, 2H), 3.07-2.99 (m, 4H), 2.52-2.42 (m, 4H), 1.87-1.84 (m, 4H), 1.71-1.68 (m, 6H), 1.43-1.39 (m, 6H), 1.23 (d, J = 8.0 Hz, 12H), 1.11 (d, J = 8.0 Hz, 12H). 13 C NMR (100 MHz, CD 2 Cl 2, ppm): δ = 164.1, 163.6, 157.1, 147.7, 141.9, 134.2, 129.9, 129.7, 129.2, 127.5, 125.6, 124.8, 124.6, 122.9, 121.0, 118.9, 54.1, 29.4, 27.9, 26.9, 25.9, 24.9, 22.7. ESI-TOF-MS, calculated for C 60 H 62 N 2 O 6 : 906.4608; found: m/z = 906.4598. S4

3. Single Crystal X-ray Analysis Single crystals suitable for X-ray diffraction were obtained by dissolving the PBIs 4d and 4e in a mixture of CH 2 Cl 2 /EtOH = 90:10, followed by slow evaporation of the solvents (for single crystal data of PBI 4f, see ref. S1c and CCDC 901365). Crystal data were collected on a Bruker X8APEX-II_KAPPA diffractometer with a CCD area detector and multi-layer mirror monochromated Mo Kα radiation. The structure was solved using direct methods (SHELXS), expanded using Fourier techniques and refined with SHELXL. S3 Hydrogen atoms were included in structure factors calculations at idealized positions and refined using a riding model. Crystal data for PBI 4d: C 52 H 46 N 2 O 6 0.5 CH 2 Cl 2 ; M r = 837.37, 0.2x0.2x0.1 mm 3, monoclinic space group C2/c, a = 22.8894(13) Å, b = 12.5211(6) Å, c = 15.4873(7) Å, = 90.723(3), V = 4438.3(4) Å 3, Z = 4, T = 100(2) K. The unit cell contains 4 PBI molecules positioned on a crystallographic centre of symmetry, therefore Z =4, and furthermore 4 isolated regions (voids) with additional electron density, positioned each about a crystallographic 2-fold axis. This additional density could only partly be modelled as discrete atomic sites (GooF(F 2 ) = 1.128, R 1 = 0.073, wr 2 = 0.229 for I>2 (I) and was attributed to disordered solvent of ½ CH 2 Cl 2 per void. This formula C 52 H 46 N 2 O 6 0.5 CH 2 Cl 2 leads to the derived constants calcd = 1.253 g cm 3, = 0.139 mm 1, F(000) = 1764. At this stage further additional electron density could still be found in difference fourier maps. So the squeeze procedure with PLATON S4 was applied to calculate the contribution to the diffraction from this region, which found 4 voids in the cell, each with a volume of 127 Å 3, each occupied by 31 electrons. Compared to 42 electrons per molecule of CH 2 Cl 2 this finding leads to a different sum formula of the investigated compound namely C 52 H 46 N 2 O 6 0.74 (CH 2 Cl 2 ), which means there are 0.74 disordered solvent molecules per void. S5

Final refinements where calculated from filtered intensity data with masked out regions of the disordered electron density: GooF(F 2 ) = 1.066, R 1 = 0.0585, wr 2 = 0.1722 for I>2 (I), R 1 = 0.0692, wr 2 = 0.1808 for all data, 4537 independent reflections [2 52.84 ] and 294 parameters. Crystal data for PBI 4e: C 60 H 62 N 2 O 6 ; M r = 907.12, red block, 0.28 0.17 0.10 mm 3, orthorhombic space group Pna2 1, a = 22.956(2) Å, b = 9.4115(19) Å, c = 22.7754(8) Å, V = 4920.7(11) Å 3, Z = 4, calcd = 1.224 g cm 3, = 0.078 mm 1, F(000) = 1936, T = 100(2) K, GooF(F 2 ) = 1.065, R 1 = 0.0537, wr 2 = 0.1315 for I > 2 (I), R 1 = 0.0661, wr 2 = 0.1382 for all data, 10041 independent reflections [2 52.74 ] and 725 parameters, 263 restraints. The fairly large number of restraints had to be applied to model disordered i-propyl groups and a disordered N-hexyl group with physically sensible parameters. A second phase of PBI 4e could be observed for some crystals which included CH 2 Cl 2 from the same solvent mixture of CH 2 Cl 2 /EtOH = 90:10. Crystal data were collected on a 3 circle Rigaku CCD diffractometer at room temperature with a sealed molybdenum tube and graphite monochromator. Crystal data for PBI 4e: (C 60 H 62 N 2 O 6 0.89 (CH 2 Cl 2 )) ; M r = 992.04, red block, 0.36 0.32 0.26 mm 3, monoclinic space group P2 1 /n, a = 13.495(3) Å, b = 14.896(3) Å, c = 26.835(5) Å, V = 5326.8(19) Å 3, =99.08(2), Z = 4, calcd = 1.237 g cm 3, = 0.175 mm 1, F(000) = 2104, T = 293(2) K, GooF(F 2 ) = 1.326, R 1 = 0.1354, wr 2 = 0.2393 for I>2 (I), R 1 = 0.1537, wr 2 = 0.2485 for all data, 7622 independent reflections [2 46.5 ] and 688 parameters, 128 restraints. The fairly large number of restraints had to be applied to model disordered i-propyl groups, a disordered N-cyclohexyl group and a partially occupied solvent molecule with physically sensible parameters. S6

a) b) c) Fig. S1 Molecular structure in front view (a) and in side view (b), and molecular packing (c) of PBI 4e in the solvent-free single crystal. a) b) c) Fig. S2 Molecular structure in front view (a) and in side view (b) of PBI 4f (from ref. S1c). Crystallographic data for the three new crystal structures (one for 4d, two for 4e) have been deposited with the Cambridge Crystallographic Data Center as supplementary publication no. CCDC 952111-952113. These data can be obtained free of charge from The Cambridge Crystallographic Data Centre via www.ccdc.cam.ac.uk/data_request/cif. S7

(10 3 M -1 cm -1 ) Electronic Supplementary Material (ESI) for Chemical Science 4. Absorption and Fluorescence Spectra in Solution and in the Solid State 100 90 80 1.00 (10 3 /M -1 cm -1 ) 70 60 50 40 30 20 10 0.75 0.50 0.25 emissiom norm. 0 0.00 300 400 500 600 700 800 Fig. S3 UV/Vis absorption and emission spectra (both at a concentration of 7.0 10-6 M) of PBI 4a in dichloromethane at room temperature. 100 90 1.00 80 70 0.75 60 50 40 30 20 0.50 0.25 emission norm. 10 0 0.00 300 400 500 600 700 800 Fig. S4 UV/Vis absorption and emission spectra (both at a concentration of 2.0 10-5 M) of PBI 4b in dichloromethane at room temperature. S8

(10 3 M -1 cm -1 ) Electronic Supplementary Material (ESI) for Chemical Science 100 90 80 70 60 50 40 30 20 10 1.00 0.75 0.50 0.25 emission norm. 0 0.00 300 400 500 600 700 800 Fig. S5 UV/Vis absorption and emission spectra (both at a concentration of 1.9 10-5 M) of PBI 4c in dichloromethane at room temperature. (10-3 M -1 cm -1 ) 100 90 80 70 60 50 40 30 20 10 1.25 1.00 0.75 0.50 0.25 emission norm. 0 0.00 300 350 400 450 500 550 600 650 700 750 800 Fig. S6 UV/Vis absorption and emission spectra (both at a concentration of 4.0 10-6 M) of PBI 4d in dichloromethane at room temperature. S9

(10 3 M -1 cm -1 ) Electronic Supplementary Material (ESI) for Chemical Science (10-3 M -1 cm -1 ) 100 90 80 70 60 50 40 30 20 10 1.25 1.00 0.75 0.50 0.25 emission norm. 0 0.00 300 400 500 600 700 800 Fig. S7 UV/Vis absorption and emission spectra (both at a concentration of 4.0 10-6 M) of PBI 4e in dichloromethane at room temperature. 100 90 80 70 60 50 40 30 20 10 1.25 1.00 0.75 0.50 0.25 emission norm. 0 0.00 300 400 500 600 700 800 Fig. S8 UV/Vis absorption and emission spectra (both at a concentration of 4.0 10-6 M) of PBI 4f in dichloromethane at room temperature. S10

1.0 1.0 0.8 absorbance(k-m) norm. 0.6 0.4 0.5 emission norm. 0.2 0.0 400 500 600 700 800 900 0.0 Fig. S9 Solid state absorption and emission spectra of PBI 4b at room temperature. 1.0 1.0 0.8 Absorbance(K-M) norm. 0.6 0.4 0.5 emission norm. 0.2 0.0 0.0 300 400 500 600 700 800 Fig. S10 Solid state absorption and emission spectra of PBI 4c at room temperature. S11

1.0 1.0 0.8 absorbance(k-m) norm. 0.6 0.4 0.5 emission norm. 0.2 0.0 0.0 400 500 600 700 800 Fig. S11 Solid state absorption and emission spectra of PBI 4d at room temperature. 1,0 1,0 absorbance(k-m) norm. 0,8 0,6 0,4 0,2 0,8 0,6 0,4 0,2 emission norm. 0,0 0,0 400 500 600 700 800 Fig. S12 Solid state absorption and emission spectra of solvent-free crystal of PBI 4e at room temperature. In green the fluorescence spectrum of 4e from crystals where one molecule of PBI crystallizes per 0.898 molecules of CH 2 Cl 2 is shown. S12

5. Theoretical Calculation Details 5.1 Calculation of the potential energy curves (PECs) The potential energy curves were calculated on the assumption of C 2 symmetry. The assumption of C 2 symmetric molecular structures were tested by geometry optimizations without any symmetry constraint starting from the minima of the PECs. For the three studied compounds the minima structures determined without symmetry deviate at most by 0.02 from the C 2 symmetric structure for the studied dihedral angle. The energetic differences between both structures are in the order of 10-3 kj mol -1, which is below the accuracy of the employed DFT method. In order to validate the DFT results, we computed the PECs for 4a and 4g using the more accurate RI-SCS-MP2/cc-pVTZ level of theory (Table 3). S5 Table S1. Characterization of the (C12a-C13a-C13b-C12b) bending potentials for PBI 4a and 4g using SCS-CC2/cc-pVTZ. PBI (C12a-C13a-C13b-C12b) ( ) SCS-MP2 Energy required for planarization (kj mol -1 ) SCS-MP2 4a 0.0 0.00 4g 7.3 3.6 5.2 Molecular dynamics (MD) simulations MD simulations were performed to get a more detailed look into the rotational degree of freedom and the dependencies between (C12b-C1-O-C14) and (C1-O-C14-C15). Simulations were performed for PBIs 4b, 4c and 4d, respectively. All simulations contained 100.000 timesteps of 1 femtosecond each, from which the first 20.000 steps were S13

used to equilibrate the system. The simulations were performed at 300 K using a Nose- Hoover thermostat. All calculations were carried out with the in-house CAST program. Recent investigations showed that common force fields are too inaccurate, whereas DFT computations are far too expensive. For this reason the simulations were based on the PM6- DH2 method by employing an interface between CAST and the MOPAC program. 5.3 Restricted geometry optimizations An indirect influence of the packing can occur if the planarity of inner -conjugated PBI core is induced by the orientations of the outer lying substituents which themselves are determined by packing effects. Since DFT calculations of whole crystals, including periodic boundary conditions, are far too expensive or even not possible, we performed restricted geometry optimizations to somewhat include the influence of the orientations of the outer lying substituents. The orientation of the substituents themselves is determined by packing effects. The starting geometries were based on the X-ray structures of the crystals taken from experiments. For structure 4e the data obtained by co-crystallization with CH 2 Cl 2 was taken. For the restricted geometry optimizations the positions of all non-hydrogen atoms (oxygen and carbon) of the bay substituents were fixed. The hydrogen atoms of the substituents were allowed to relax, since hydrogen atoms are strictly connected to the heavier centers, and the X-ray data provide no clear data about the positions. Furthermore, no restrictions were applied to the rest of the system. All calculations were performed using BLYP- D3(BJ). S14

Fig. S13 Ilustrative example for the restricted geometry optimizations of molecule 4d. The red atoms were fixed in space during the optimization, while the green atoms were allowed to relax. Starting point for each optimization was the respective crystal structure. S15

6. 1 H and 13 C NMR Spectra of PBIs Fig. S14 1 H NMR (400 MHz, CD 2 Cl 2, 298 K) of PBI 4c. Fig. S15 13 C NMR (100 MHz, CDCl 3, 298 K) of PBI 4c. S16

163.630 163.900 155.648 150.229 118.420 121.035 122.371 124.391 124.504 126.469 129.219 129.675 129.867 130.958 133.748 76.730 77.046 77.364 54.018 25.446 26.532 29.153 16.393 Electronic Supplementary Material (ESI) for Chemical Science Fig. S16 1 H NMR (400 MHz, CD 2 Cl 2, 298 K) of PBI 4d. 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 ppm Fig. S17 13 C NMR (100 MHz, CDCl 3, 298 K) of PBI 4d. S17

Fig. S18 1 H NMR (400 MHz, CD 2 Cl 2, 298 K) of PBI 4e. Fig. S19 13 C NMR (100 MHz, CD 2 Cl 2, 298 K) of PBI 4e. S18

7. References S1. (a) F. Würthner, V. Stepanenko, Z. Chen, C. R. Saha-Möller, N. Kocher and D. Stalke, J. Org. Chem., 2004, 69, 7933-7939; (b) Y. Che, X. Yang, K. Balakrishnan, J. Zuo and L. Zang, Chem. Mater., 2009, 21, 2930-2934; (c) M.-J. Lin, A. J. Jiménez, C. Burschka and F. Würthner, Chem. Commun., 2012, 48, 12050-12052. S2. (a) R. Sens and K. H. Drexhage, J. Luminescence, 1981, 24, 709-710; (b) R. Gvishi, R. Reisfeld and Z. Burshtein, Chem. Phys. Lett., 1993, 213, 338-344. S3. G. Sheldrick, Acta Cryst., 2008, A62, 112-122. S4. (a) A. L. Spek, Acta Cryst., 2009, D65, 148-155; (b) A. L. Spek, J. App. Crystallogr., 2003, 26, 7-13; (c) P. van der Sluis and A. L. Spek, Acta Crystallogr., Sect. A, 1990, 46, 194-201. S5. (a) C. Hättig, J. Chem. Phys., 2003, 118, 7751-7761; (b) A. Hellweg, S. A. Grün and C. Hättig, Phys. Chem. Chem. Phys., 2008, 10, 4119-4127. S19