Supporting Information Exo- and Endo-hedral Interactions of Counteranions with Tetracationic M2L4 Metallosupramolecular Architectures. James E. M. Lewisa and James D. Crowley*a a Department of Chemistry, University of Otago, PO Box 56, Dunedin, New Zealand; Fax: +64 3 479 7906; Tel: +64 3 479 7731. *jcrowley@chemistry.otago.ac.nz S1 Contents 1 2 3 4 Experimental Procedures ................................................................................................................ 3 1.1 General.................................................................................................................................... 3 1.2 Synthesis of [Pd2L4](NO3)4 ....................................................................................................... 3 1.3 Synthesis of [Pd2L4](OTf)4 ........................................................................................................ 4 1.4 Synthesis of [Pd2L4](OMs)4 ...................................................................................................... 6 1.5 Synthesis of [Pd2L4](OTs)4 ....................................................................................................... 7 Additional 1H DOSY NMR Spectra ................................................................................................. 10 2.1 Bu4NOTs ................................................................................................................................ 10 2.2 Bu4NOMs ............................................................................................................................... 10 2.3 Ligand 1 ................................................................................................................................. 11 2.4 [Pd2L4](BF4)4 ........................................................................................................................... 11 Stacked 1H NMR Spectra ............................................................................................................... 12 3.1 Bu4NOMs and [Pd2L4](OMs)4 ................................................................................................. 12 3.2 Bu4NOTs and [Pd2L4](OTs)4.................................................................................................... 12 Stacked 19F NMR Spectra .............................................................................................................. 13 4.1 NaOTf and [Pd2L4](OTf)4 ........................................................................................................ 13 4.2 NaBF4 and [Pd2L4](BF4)4 ......................................................................................................... 13 5 UV-Vis Spectra............................................................................................................................... 14 6 X-ray Data...................................................................................................................................... 15 6.1 Experimental ......................................................................................................................... 15 6.2 [Pd2L4](BF4)4 ........................................................................................................................... 16 6.3 [Pd2L4](OTf)4 .......................................................................................................................... 18 6.4 [Pd2L4](OMs)4 ........................................................................................................................ 20 6.5 [Pd2L4](OTs)4 .......................................................................................................................... 22 7 Calculation of Cavity Volume ........................................................................................................ 24 8 SPARTAN Models of 2⊃X- ............................................................................................................. 25 9 References .................................................................................................................................... 29 S2 1 1.1 Experimental Procedures General Unless otherwise stated, all reagents were purchased from commercial sources and used without further purification. Ligand 1[1] and complex 2(BF4)4[2] were synthesised according to literature procedure. All solvents were laboratory reagent grade. 1H and 13C NMR spectra were recorded on either a 400 MHz Varian 400 MR or Varian 500 MHz VNMRS spectrometer. Chemical shifts are reported in parts per million and referenced to residual solvent peaks (d6-DMSO: 1H δ 2.50 ppm; 13C δ 39.52 ppm). Coupling constants (J) are reported in Hertz (Hz). Standard abbreviations indicating multiplicity were used as follows: m = multiplet, q = quartet, t = triplet, dt = double triplet, d = doublet, dd = double doublet, s = singlet. IR spectra were recorded on a Bruker ALPHA FT-IR spectrometer with an attached ALPHA-P measurement module. Microanalyses were performed at the Campbell Microanalytical Laboratory at the University of Otago. Electrospray mass spectra (ESMS) were collected on a Bruker micro-TOF-Q spectrometer. UV-visible absorption spectra were acquired with a Jasco V550 UV/VIS spectrophotometer. 1.2 Synthesis of [Pd2L4](NO3)4 1 (0.05 g, 0.18 mmol, 2 eq.) and Pd(NO3)2(H2O)2 (0.02 g, 0.09 mmol, 1 eq.) were stirred in DMF (5 mL) for one hour. After filtering through Celite the filtrate was left for vapour diffusion of diethyl ether to precipitate the product as a tan solid. Yield 0.07 g (0.04 mmol, 94%). 1H NMR (d6-DMSO, 400 MHz) δ: 9.72 (s, 8H, Ha), 9.40 (d, J = 5.9 Hz, 8H, Hb), 8.32 (d, J = 8.0 Hz, 8H, Hd), 7.97 (t, J = 7.8 Hz, 4H, Hf), 7.84 (dd, J = 5.9, 7.9 Hz, 8H, Hc), 7.75 (d, J = 7.8 Hz, 8H, He). Diffusion coefficient (d6-DMSO, 298 K) D: 1.09 × 10-10 m2s-1. 13C NMR (d6-DMSO, 100 MHz) δ: 153.6 (Ca), 151.1 (Cb), 143.3 (Cd), 141.9, 138.0 (Cf), 128.6 (Ce), 127.3 (Cc), 121.6, 93.4, 83.3. IR (ATR): ν (cm-1) 3071, 1651, 1572, 1558, 1481, 1444, 1422, 1328, 1239, 1196, 1105, 1029, 984, 912, 693. HRESI-MS (DMSO/CH3CN): m/z = 304.0880 [LNa]+ calc. 3040845; 585.1807 [L2Na]+ calc. 585.1798; 866.2741 [L3Na]+ calc. 866.2751. UV-Vis (DMSO, ε [M-1cm1 ]): λmax nm = 313 (1.11 × 105). Anal. calc. for 2(NO3)4·7H2O·Et2O: C, 53.79; H, 3.84; N, 12.55%. Found: C, 53.76; H, 3.82; N, 12.38%. Figure 1 1H NMR spectrum (400 MHz, d6-DMSO) of [Pd2L4](NO3)4. S3 Figure 2 13C NMR spectrum (100 MHz, d6-DMSO) of [Pd2L4](NO3)4. Figure 3 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of [Pd2L4](NO3)4. 1.3 Synthesis of [Pd2L4](OTf)4 [Pd(CH3CN)4](BF4)2 (0.02 g, 0.09 mmol, 1 eq.) and silver triflate (0.05 g, 0.18 mmol, 2 eq.) were stirred in acetonitrile (5 mL) for 30 minutes. After filtering through Celite, 1 (0.05 g, 0.18 mmol, 2 eq.) was added as a solid and stirred for a further 30 minutes. Diethyl ether was added to precipitate the product as a tan solid that was washed with diethyl ether and dried in vacuo. Yield 0.07 g (0.04 mmol, 86%). 1H NMR (d6-DMSO, 400 MHz) δ: 9.54 (d, J = 1.4 Hz, 8H, Ha), 9.38 (d, J = 5.1 Hz, 8H, Hb), 8.35 (d, 8H, J = 8.0 Hz, Hd), 8.01 (t, J = 7.8 Hz, 4H, Hf), 7.86 (dd, J = 5.9, 7.9 Hz, 8H, Hc), 7.79 (d, J = 7.8 Hz, 8H, He). 19F NMR (d6-DMSO, 376 MHz) δ: -77.76. Diffusion coefficient (d6-DMSO, 298 K) D: 1.16 × 10-10 m2s-1. 13C NMR (d6-DMSO, 100 MHz) δ: 153.3 (Ca), 151.0 (Cb), 143.5 (Cd), 141.8, 138.3 (Cf), 128.6 (Ce), 127.3 (Cc), 121.5, 93.3, 83.6. IR (ATR): ν (cm-1) 3071, 1654, 1574, 1557, 1482, 1444, 1420, 1388, 1161, 1120, 1031, 1010, 810. HRESI-MS (CH3CN): m/z = 282.1230 [LH]+ calc. 282.1026; 334.0635 [PdL2]2+ calc. 334.0472; 334.0635 [Pd2L4]4+ calc. 334.0466; 457.0587 [Pd2L4Cl]3+ calc. 457.0526; 495.0546 [Pd2L4OTf]3+ calc. 495.0471; 817.0560 [Pd2L4(OTf)2]2+ calc. 817.0470. UV-Vis (DMSO, ε [M-1cm-1]): λmax nm = 318 (1.16 × 105). Anal. calc. for 2(OTf)4·2CH3CN·11H2O: C, 45.56; H, 3.28; N, 8.85%. Found: C, 45.39; H, 3.14; N, 9.11%. S4 Figure 4 1H NMR spectrum (400 MHz, d6-DMSO) of [Pd2L4](OTf)4. Figure 5 13C NMR spectrum (100 MHz, d6-DMSO) of [Pd2L4](OTf)4. Figure 6 19F NMR spectrum (376 MHz, d6-DMSO) of [Pd2L4](OTf)4. Figure 7 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of [Pd2L4](OTf)4. S5 1.4 Synthesis of [Pd2L4](OMs)4 [Pd(CH3CN)2Cl2] (0.02 g, 0.09 mmol, 1 eq.) and silver mesylate (0.04 g, 0.18 mmol, 2 eq.) were stirred in acetonitrile (5 mL) for 30 minutes. After filtering through Celite, 1 (0.05 g, 0.18 mmol, 2 eq.) was added and the reaction mixture stirred for a further 30 minutes. The resulting tan precipitate was isolated by filtration, washed with diethyl ether and dried in vacuo. Yield 0.06 g (0.04 mmol, 82%). 1 H NMR (d6-DMSO, 400 MHz) δ: 9.61 (s, br, 8H, Ha), 9.48 (d, J = 4.5 Hz, 8H, Hb), 8.34 (dt, J = 1.5, 8.1 Hz, 8H, Hd), 8.01 (dd, J = 7.5, 8.1 Hz, 4H, Hf), 7.85 (dd, J = 6.0, 8.0 Hz, 8H, Hc), 7.79 (d, J = 7.8 Hz, 8H, He). Diffusion coefficient (d6-DMSO, 298 K) D: 1.09 × 10-10 m2s-1 (24+); 3.99 × 10-10 m2s-1 (OMs-). 13 C NMR (d6-DMSO, 100 MHz) δ: 153.5 (Ca), 151.3 (Cb), 143.3 (Cd), 141.9, 138.2 (Cf), 128.6 (Ce), 127.3 (Cc), 121.4, 93.3, 83.6, 30.7 (COMs). IR (ATR): ν (cm-1) 3074, 2967, 1575, 1557, 1481, 1443, 1415, 1160, 1039, 984, 951, 809, 771. HRESI-MS (DMSO/CH3CN): m/z = 282.1332 [LH]+ calc. 282.1026; 334.0629 [PdL2]2+ calc. 334.0472; 334.0629 [Pd2L4]4+ calc. 334.0466; 387.0100 [PdL]+ calc. 386.9990; 387.0100 [Pd2L2]2+ calc. 386.9984. UV-Vis (DMSO, ε [M-1cm-1]): λmax nm = 314 (1.03 × 105). Anal. calc. for 2(OMs)4·10H2O: C, 50.61; H, 3.91; N, 9.28%. Found: C, 50.50; H, 3.87; N, 9.29%. Figure 8 1H NMR spectrum (500 MHz, d6-DMSO) of [Pd2L4](OMs)4. S6 Figure 9 13C NMR spectrum (100 MHz, d6-DMSO) of [Pd2L4](OMs)4. Figure 10 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of [Pd2L4](OMs)4. 1.5 Synthesis of [Pd2L4](OTs)4 1 (0.05 g, 0.18 mmol, 2 eq.), Pd(CH3CN)2Cl2 (0.02 g, 0.09 mmol, 1 eq.) and silver tosylate (0.05 g, 0.18 mmol, 2 eq.) were stirred in DMF (3 mL) at 50 °C for 1 h. The cooled reaction mixture was filtered through Celite and the product precipitated by vapour diffusion of diethyl ether. The precipitate was isolated by filtration and washed with further diethyl ether before drying in vacuo. Yield 0.07 g (0.03 mmol, 74%). 1H NMR (d6-DMSO, 400 MHz) δ: 9.57 (d, J = 1.1 Hz, 8H, Ha), 9.46 (d, J = 5.7 Hz, 8H, Hb), 8.34 (dt, J = 1.4, 8.1 Hz, 8H, Hd), 8.00 (dd, J = 7.5, 8.1 Hz, 4H, Hf), 7.83 (dd, J = 6.0, 7.9 Hz, 8H, Hc), 7.79 (d, J = 7.8 Hz, 8H, He), 7.54 (d, J = 8.0 Hz, 8H, HOTs), 7.13 (d, J = 7.8 Hz, 8H, HOTs), 2.28 (s, 12H, HOTs). Diffusion coefficient (d6-DMSO, 298 K) D: 1.06 × 10-10 m2s-1 (24+); 3.07 × 10-10 m2s-1 (OTs-). 13C NMR (d6-DMSO, 100 MHz) δ: 153.3 (Ca), 151.1 (Cb), 145.7, 143.5 (Cd), 141.8, 138.3 (Cf), S7 137.7, 128.6 (Ce), 128.1, 127.3 (Cc), 125.5, 121.5, 93.3, 83.6, 20.8. IR (ATR): ν (cm-1) 3071, 1654, 1572, 1556, 1480, 1444, 1420, 1386, 1178, 1120, 1103, 1064, 1032, 1009, 983, 811. HRESI-MS (DMSO/CH3CN): m/z = 282.1265 [LH]+ calc. 282.1026; 334.0672 [PdL2]2+ calc. 334.0472; 334.0672 [Pd2L4]4+ calc. 334.0466; 502.4174 [PdsL4OTs]3+ calc. 502.4004; 527.5611 [Pd2L3]2+ calc. 527.5460. UVVis (DMSO, ε [M-1cm-1]): λmax nm = 314 (9.66 × 104). Anal. calc. for 2(OTs)4·10H2O: C, 56.70; H, 4.21; N, 7.63%. Found: C, 56.67; H, 4.50; N, 8.05%. Figure 11 1H NMR spectrum (400 MHz, d6-DMSO) of [Pd2L4](OTs)4. Figure 12 13C NMR spectrum (100 MHz, d6-DMSO) of [Pd2L4](OTs)4. S8 Figure 13 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of [Pd2L4](OTs)4. S9 2 2.1 Additional 1H DOSY NMR Spectra Bu4NOTs Figure 14 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of Bu4NOTs. 2.2 Bu4NOMs Figure 15 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of Bu4NOMs. S10 2.3 Ligand 1 Figure 16 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of 1. 2.4 [Pd2L4](BF4)4 Figure 17 1H DOSY NMR spectrum (500 MHz, d6-DMSO) of [Pd2L4](BF4)4. S11 3 3.1 Stacked 1H NMR Spectra Bu4NOMs and [Pd2L4](OMs)4 Figure 18 Stacked 1H NMR spectra (500 MHz, d6-DMSO) of [Pd2L4](OMs)4 (top) and Bu4NOMs (bottom). 3.2 Bu4NOTs and [Pd2L4](OTs)4 Figure 19 Stacked 1H NMR spectra (500 MHz, d6-DMSO) of [Pd2L4](OTs)4 (top) and Bu4NOTs (bottom). S12 4 4.1 Stacked 19F NMR Spectra NaOTf and [Pd2L4](OTf)4 Figure 20 Stacked 19F NMR spectra (376 MHz, d6-DMSO) of [Pd2L4](OTf)4 (top) and NaOTf (bottom). 4.2 NaBF4 and [Pd2L4](BF4)4 Figure 21 Stacked 19F NMR spectra (376 MHz, d6-DMSO) of [Pd2L4](BF4)4 (top) and NaBF4 (bottom). S13 5 UV-Vis Spectra Figure 22 UV-Vis spectra of palladium(II) complexes in DMSO at 10-5 M. S14 6 6.1 X-ray Data Experimental [Pd2L4](BF4)4 and [Pd2L4](OTf)4 structures were collected at 89 K on a Bruker Kappa Apex II area detector diffractometer using monochromated Mo Kαradiation. The structure was solved by direct methods and refined against F2 using anisotropic thermal displacement parameters for all nonhydrogen atoms using APEX II software. Hydrogen atoms were placed in calculated positions and refined using a riding model. [Pd2L4](OTs)4 and [Pd2L4](OMs)4 structures were collected at 100 K on an Agilent Technologies SuperNova diffractometer with Atlas detector using Cu Kα radiation. The structure was solved by SIR92[3] and refined against F2 using anisotropic thermal displacement parameters for all nonhydrogen atoms using SHELXTL 6.14 software. Hydrogen atoms were placed in calculated positions and refined using a riding model. Due to the extent of disordered anions and solvent molecules in the crystal lattices for each of these structures, the SQUEEZE routine within PLATON was implemented. SQUEEZE details for each structure are listed below. S15 6.2 [Pd2L4](BF4)4 Empirical formula C78H50B4F16N12OPd2S Formula weight 1763.40 Temperature 89(2) K Wavelength 0.71073 Å Crystal system Monoclinic Space group C2/m Unit cell dimensions a = 13.505(4) Å = 90°. b = 23.381(7) Å = 93.130(17)°. c = 14.131(4) Å = 90°. Å3 Volume 4455(2) Z 2 Density (calculated) 1.314 Mg/m3 Absorption coefficient 0.507 mm-1 F(000) 1764 Crystal size 0.40 x 0.16 x 0.12 mm3 Theta range for data collection 1.44 to 26.64°. Index ranges -16<=h<=16, -29<=k<=28, -17<=l<=17 Reflections collected 29352 Independent reflections 4705 [R(int) = 0.1465] Completeness to theta = 26.64° 97.8 % Absorption correction Semi-empirical from equivalents Max. and min. transmission 0.9416 and 0.8229 Refinement method Full-matrix least-squares on F2 Data / restraints / parameters 4705 / 0 / 205 Goodness-of-fit on F2 1.019 Final R indices [I>2sigma(I)] R1 = 0.0739, wR2 = 0.1929 R indices (all data) R1 = 0.1123, wR2 = 0.2140 Largest diff. peak and hole 1.297 and -0.830 e.Å-3 S16 Figure 23 Mercury ellipsoid plot of [Pd2L4]4+. Ellipsoids are shown at the 50% probability level. Platon Squeeze Details Platon squeeze void nr Platon squeeze void average x Platon squeeze void average y Platon squeeze void average z Platon squeeze void volume Platon squeeze void count electrons Platon squeeze void content 1 2 -0.085 -0.026 0.000 0.500 -0.084 0.059 884 884 212 212 There are two void spaces, each with an electron count of 212. This can be accounted for by four tetrafluoroborate (BF4) anions (41 electrons each) and one solvent molecule of DMSO (42 electrons) in each void space. S17 6.3 [Pd2L4](OTf)4 Empirical formula C99H91F12N19O21Pd2S4 Formula weight 2451.95 Temperature 93(2) K Wavelength 0.71073 Å Crystal system Triclinic Space group P-1 Unit cell dimensions a = 13.390(4) Å = 67.802(11)°. b = 14.621(3) Å = 70.017(12)°. c = 17.121(4) Å = 88.790(12)°. Å3 Volume 2894.0(13) Z 1 Density (calculated) 1.407 Mg/m3 Absorption coefficient 0.474 mm-1 F(000) 1250 Crystal size 0.32 x 0.17 x 0.09 mm3 Theta range for data collection 1.38 to 26.68°. Index ranges -16<=h<=16, -18<=k<=17, -21<=l<=21 Reflections collected 31315 Independent reflections 11932 [R(int) = 0.0549] Completeness to theta = 26.68° 97.5 % Absorption correction Semi-empirical from equivalents Max. and min. transmission 0.9586 and 0.8631 Refinement method Full-matrix least-squares on F2 Data / restraints / parameters 11932 / 0 / 681 Goodness-of-fit on F2 1.084 Final R indices [I>2sigma(I)] R1 = 0.0835, wR2 = 0.2352 R indices (all data) R1 = 0.1122, wR2 = 0.2583 Largest diff. peak and hole 1.482 and -1.029 e.Å-3 S18 Figure 24 Mercury ellipsoid plot of [Pd2L4](OTf)4. Ellipsoids are shown at the 50% probability level. Platon Squeeze Details Platon squeeze void nr Platon squeeze void average x Platon squeeze void average y Platon squeeze void average z Platon squeeze void volume Platon squeeze void count electrons Platon squeeze void content 1 0.000 -0.004 0.500 417 64 Void electron count of 64 can be accounted for by two MeCN (44 electrons) and two water (20 electrons) molecules (total 64 electrons). S19 6.4 [Pd2L4](OMs)4 Empirical formula C100H89N21.50O12Pd2S4 Formula weight 2124.97 Temperature 100(2) K Wavelength 1.54184 Å Crystal system Triclinic Space group P-1 Unit cell dimensions a = 13.9197(9) Å = 61.790(9)°. b = 14.8539(13) Å = 73.019(7)°. c = 15.6864(13) Å = 89.926(6)°. Å3 Volume 2697.3(4) Z 1 Density (calculated) 1.308 Mg/m3 Absorption coefficient 3.956 mm-1 F(000) 1092 Crystal size 0.24 x 0.16 x 0.07 mm3 Theta range for data collection 3.36 to 76.50°. Index ranges -10<=h<=17, -18<=k<=17, -19<=l<=19 Reflections collected 13748 Independent reflections 8785 [R(int) = 0.0500] Completeness to theta = 76.50° 77.5 % Absorption correction Semi-empirical from equivalents Max. and min. transmission 0.7692 and 0.4503 Refinement method Full-matrix least-squares on F2 Data / restraints / parameters 8785 / 0 / 560 Goodness-of-fit on F2 1.973 Final R indices [I>2sigma(I)] R1 = 0.1041, wR2 = 0.2671 R indices (all data) R1 = 0.1161, wR2 = 0.2771 Largest diff. peak and hole 2.827 and -2.559 e.Å-3 S20 Figure 25 Mercury ellipsoid plot of [Pd2L4](OMs)4. Ellipsoids are shown at the 50% probability level. Platon Squeeze Details Platon squeeze void nr Platon squeeze void average x Platon squeeze void average y Platon squeeze void average z Platon squeeze void volume Platon squeeze void count electrons Platon squeeze void content 1 2 3 0.000 0.362 0.638 0.5000 0.315 0.685 0.000 0.376 0.624 598 8 9 154 3 3 Void electron count of 154 can be accounted for by seven molecules of acetonitrile (22 electrons each). S21 6.5 [Pd2L4](OTs)4 Empirical formula C116H70N12O11Pd2S4 Formula weight 2148.88 Temperature 100(2) K Wavelength 1.54184 Å Crystal system Monoclinic Space group I2/m Unit cell dimensions a = 14.1685(9) Å = 90°. b = 28.8623(18) Å = 92.038(5)°. c = 15.1053(11) Å = 90°. Å3 Volume 6173.2(7) Z 2 Density (calculated) 1.156 Mg/m3 Absorption coefficient 3.440 mm-1 F(000) 2188 Crystal size 0.23 x 0.16 x 0.10 mm3 Theta range for data collection 3.06 to 75.20°. Index ranges -17<=h<=12, -35<=k<=29, -18<=l<=18 Reflections collected 13041 Independent reflections 6264 [R(int) = 0.0769] Completeness to theta = 75.20° 96.1 % Absorption correction Semi-empirical from equivalents Max. and min. transmission 0.7248 and 0.5051 Refinement method Full-matrix least-squares on F2 Data / restraints / parameters 6264 / 18 / 352 Goodness-of-fit on F2 1.333 Final R indices [I>2sigma(I)] R1 = 0.1216, wR2 = 0.3179 R indices (all data) R1 = 0.1334, wR2 = 0.3304 Largest diff. peak and hole 6.160 and -1.982 e.Å-3 S22 Figure 26 Mercury ellipsoid plot of [Pd2L4](OTs)4. Ellipsoids are shown at the 50% probability level. Platon Squeeze Details Platon squeeze void nr Platon squeeze void average x Platon squeeze void average y Platon squeeze void average z Platon squeeze void volume Platon squeeze void count electrons Platon squeeze void content 1 2 -0.009 -0.056 0.000 0.500 0.007 0.095 660 660 299 299 Two void spaces each of 299 electrons can be accounted for by two tosylate anions (89 electrons each) and three DMF molecules (39 electrons each) (total 295 electrons). S23 7 Calculation of Cavity Volume The structural dimensions of 2 were obtained from the X-ray crystal structure of 2(BF4)4. Utilising the NPy···NPy and Ha···Ha internal distances, the void space was calculated as an ellipsoid. 𝑉= 4 𝜋𝑟 𝑟 𝑟 3 𝑎 𝑏𝑐 Van der Waals radius of H = 1.20 Å Van der Waals radius of N = 1.55 Å 𝑟𝑎 = 8.23 − 2 × 1.20 = 3.52 Å 2 𝑟𝑏 = 𝑟𝑐 = 𝑉= 10.31 − 2 × 1.55 = 3.61 Å 2 4 × 𝜋 × 3.52 × 3.61 × 3.61 = 192 Å3 3 S24 8 SPARTAN Models of 2⊃X- Figure 27 SPARTAN ’06 model of 2⊃SbF6. Figure 28 SPARTAN ’06 model of 2⊃BF4. S25 Figure 29 SPARTAN ’06 model of 2⊃NO3. Figure 30 SPARTAN ’06 model of 2⊃OMs. S26 Figure 31 SPARTAN ’06 model of 2⊃OTf. Figure 32 SPARTAN ’06 model of 2⊃OTs. S27 Figure 33 SPARTAN ’06 model of 2⊃OTs. S28 9 [1] [2] [3] References K. J. Kilpin, M. L. Gower, S. G. Telfer, G. B. Jameson, J. D. Crowley, Inorg. Chem. 2011, 50, 1123. J. E. M. Lewis, E. L. Gavey, S. A. Cameron, J. D. Crowley, Chem. Sci. 2012, 3, 778. A. Altomare, G. Cascarano, C. Giacovazzo, A. Guagliardi, M. C. Burla, G. Polidori, M. Camalli, J. Appl. Crystallogr. 1994, 27, 435. S29