Effect of Ionic Size on Solvate Stability of Glyme- Based Solvate Ionic Liquids

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Supporting Information for: Effect of Ionic Size on Solvate Stability of Glyme- Based Solvate Ionic Liquids Toshihiko Mandai,,ǁ Kazuki Yoshida, Seiji Tsuzuki, Risa Nozawa, Hyuma Masu, Kazuhide Ueno, Kaoru Dokko,, and Masayoshi Watanabe,* Department of Chemistry and Biotechnology, Yokohama National University, 79-5 Tokiwadai, Hodogaya-ku, Yokohama 240-8501, Japan National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 2, Tsukuba, Ibaraki 305-8568, Japan Center for Analytical Instrumentation, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan Unit of Elements Strategy Initiative for Catalysts & Batteries (ESICB), Kyoto University, Kyoto 615-8510, Japan ǁ Present address: Department of Applied Physics, Chalmers University of Technology, Göteborg SE-412 96, Sweden The complete analytical data are summarized here. Crystallographic data and thermal ellipsoid models for [Li(G5)1][TFSA], [K(G5)1][TFSA], [Li(12C4)1][TFSA], [K(18C6)1][TFSA], [K(G4)2]PF6, [K(G5)1]PF6, and [K(G6)1]PF6 are shown in Table S1 and Figures S1 S7, respectively. Selected K Oglyme distances are listed in Table S2. The HOMO energy levels of the deformed glymes are summarized in Table S3. Raman spectra of the crown ether based complexes (Figure S8) and [Li(G2)2][TFSA] (Figure S9), the relative intensity of the selected bands (Figure S10), and optimized structures of the parent M[TFSA] salts (Figure S11) are also included. The complete author list for ref. 50 in the manuscript is given. 1

Table S1. Crystallographic data for [Li(G5) 1 ][TFSA], [K(G5) 1 ][TFSA], [Li(12C4) 1 ][TFSA], [K(18C6) 1 ][TFSA], [K(G5) 1]PF 6, and [K(G6) 1]PF 6. [Li(G5)1][TFSA] [K(G5)1][TFSA] [Li(12C4)1][TFSA] [K(18C6)1][TFSA] [K(G5)1]PF6 [K(G6)1]PF6 Chemical formula C14H26F6LiNO10S2 C14H26F6KNO10S2 C10H16F6LiNO8S2 C14H24F6KNO10S2 C12H26F6KO6P C14H30F6KO7P Formula weight 553.42 585.57 463.29 525.41 450.40 494.45 Crystal system Triclinic Triclinic Triclinic Triclinic Orthorhombic Monoclinic Space group _ P1 _ P1 _ P1 _ P1 Pbca P21/c a / Å 9.2411(5) 9.430(2) 8.838(3) 8.7544(11) 15.404(3) 17.084(4) b / Å 9.6767(5) 16.507(3) 9.535(3) 8.9026(13) 15.758(3) 13.0183(3) c / Å 13.9904(7) 18.079(3) 11.379(4) 9.125 (2) 16.510(3) 20.904(5) α / º 95.234(3) 66.416(6) 81.162(9) 113.587(5) 90 90 β / º 97.155(3) 78.330(8) 78.012(9) 95.750(6) 90 105.027(3) γ / º 95.662(3) 81.019(8) 79.457(9) 106.5676(11) 90 90 V / Å 3 1228.46(11) 2517.1(8) 915.5(5) 605.8 (2) 4007.6(11) 4547(2) Z 2 4 2 1 8 8 Dcalc / g cm 3 1.496 1.545 1.680 1.599 1.493 1.444 μ / mm 1 0.2836 0.4679 0.3885 0.4858 0.4229 0.3829 Temp. / ºC 50 100 100 100 100 50 Reflections collected Independent reflection, Rint 8857 19189 7425 4532 29013 38408 4307, 0.0285 11214, 0.0349 4562, 0.0230 2680, 0.0263 4580, 0.0363 12504, 0.0845 R1 [I > 2σ(I)] 0.0631 0.0695 0.0424 0.0613 0.0656 0.0903 wr2 (all data) 0.1733 0.2051 0.1248 0.2300 0.1761 0.2446 GooF 1.043 1.092 1.058 0.959 1.128 1.052 2

Table S2. Distances between the K + cation and oxygen atoms of the coordinating glymes in [K(G4) 2 ]PF 6, [K(G5) 1 ]PF 6, and [K(G6) 1]PF 6 solvates. Atomic numbering corresponds to the numbering in the corresponding crystallographic structure. Distances / Å [K(G4) 2 ]PF 6 [K(G5) 1 ]PF 6 [K(G6) 1 ]PF 6 K1 O1 2.877(5) 2.8201(19) 2.819(4) K1 O2 3.013(5) 2.9100(19) 2.802(4) K1 O3 3.069(4) 2.8648(18) 2.811(4) K1 O4 2.981(5) 2.8322(17) 2.849(4) K1 O5(13) 2.936(4) 2.8807(18) 2.833(3) K1 O6 2.9069(19) 2.875(3) K1 O7 2.962(4) 3

Table S3. HOMO energy levels of deformed glymes calculated via HF/6-311G** level ab initio molecular orbital calculations. The words in parentheses indicate the conformational form of the glymes and coordinated cationic species. Samples Atomic unit ev ΔeV a trans G3 (all trans) 0.42093 11.45 0 G3 (deformed, Li) b 0.39277 10.69 0.77 G3 (deformed, Li) c 0.39763 10.82 0.63 G4 (all trans) 0.42116 11.46 0 G4 (deformed, Li) b 0.38678 10.52 0.94 G4 (deformed, Li) c 0.38818 10.56 0.90 G4 (deformed, Na) 0.39775 10.82 0.64 G5 (all trans) 0.42133 11.46 0 G5 (deformed, Na) 0.39437 10.73 0.73 G5 (deformed, K) 0.39987 10.88 0.58 a ΔeV is the change in the HOMO level of the glymes associated with deformation upon complexation from that of the isolated all trans glymes. b, c The optimized structures are obtained from refs. 18 and 51 in the manuscript, respectively. 4

Figure S1. Thermal ellipsoid model (upper) and packing structure along the a-axis (lower) of [Li(G5) 1 ][TFSA]. The ellipsoids of non-hydrogen atoms are drawn at the 50% probability level. The expanded structures are shown here. H atoms and labels are omitted for clarity. Pink, Li; blue, N; yellow, S; red, O; green, F; gray, C; light gray, H. CCDC number: 1016396. 5

Figure S2. Thermal ellipsoid model of [K(G5) 1][TFSA]. The ellipsoids of non-hydrogen atoms are drawn at the 50 % probability level while isotropic hydrogen atoms are represented by spheres of arbitrary size. The labels of uncoordinating atoms are omitted for clarity. There are two types of AGG solvates (one is octa-coordinated and the other is nona-coordinated) in this solvate. Purple, K; blue, N; yellow, S; red, O; green, F; gray, C; light gray, H. CCDC number: 1016397. 6

Figure S3. Thermal ellipsoid model of [Li(12C4) 1][TFSA]. The ellipsoids of non-hydrogen atoms are drawn at the 50% probability level while isotropic hydrogen atoms are represented by spheres of arbitrary sizes. The labels are omitted for clarity. Pink, Li; blue, N; yellow, S; red, O; green, F; gray, C; light gray, H. CCDC number: 1016398. Figure S4. Thermal ellipsoid model of [K(18C6) 1 ][TFSA]. The ellipsoids of non-hydrogen atoms are drawn at the 50 % probability level while isotropic hydrogen atoms are represented by spheres of arbitrary size. The labels of uncoordinating atoms are omitted for clarity. The expanded structure is shown here. Purple, K; blue, N; yellow, S; red, O; green, F; gray, C; light gray, H. CCDC number: 1016399. 7

Figure S5. Thermal ellipsoid model (upper) and packing structure along the c-axis (lower) of [K(G4) 2]PF 6. The ellipsoids of non-hydrogen atoms are drawn at the 50% probability level while isotropic hydrogen atoms are represented by spheres of arbitrary sizes. The labels are omitted for clarity. Purple, K; orange, P; red, O; green, F; gray, C; light gray, H. Due to its high R 1 and wr2 values, this cif has not been deposited in the CCDC. 8

Figure S6. Thermal ellipsoid model of [K(G5) 1 ]PF 6. The ellipsoids of non-hydrogen atoms are drawn at the 50 % probability level while isotropic hydrogen atoms are represented by spheres of arbitrary size. The disordered atoms and labels of uncoordinating atoms are omitted for clarity. Purple, K; orange, P; red, O; green, F; gray, C; light gray, H. CCDC number: 1016400. Figure S7. Thermal ellipsoid model of [K(G6) 1 ]PF 6. The ellipsoids of non-hydrogen atoms are drawn at the 50 % probability level while isotropic hydrogen atoms are represented by spheres of arbitrary size. Labels are omitted for clarity. Purple, K; orange, P; red, O; green, F; gray, C; light gray, H. CCDC number: 1016401. 9

Figure S8. Raman spectra of crystalline [Li(12C4) 1 ][TFSA], [Na(15C5) 1 ][TFSA], and [K(18C6) 1 ][TFSA] measured at ambient temperature. Spectra of each pure crown ether and parent salt are also included in each figure. Figure S9. Raman spectra of [Li(G2) 2 ][TFSA] in both crystalline (lower) and liquid (upper) states. 10

Figure S10. Variation of the relative intensity of the 850 cm 1 Raman band upon melting (upper). (S) and (L) indicate the solid and liquid states, respectively. The spectra were resolved into Gaussian-Lorentzian bands (examples are shown lower; [Li(G3) 1][TFSA] in the solid (left) and liquid (right) states). A 850 cm 1 and A total denote the peak areas assigned to free glyme that appeared at 850 cm 1 and all glymes observed at 900 780 cm 1, respectively. 11

Figure S11. Optimized structures of Li[TFSA] (left), Na[TFSA] (center), and K[TFSA] (right) calculated via ab initio quantum calculation at the MP2/6-311G** level. Pink, Li; dark yellow, Na; purple, K; blue, N; yellow, S; red, O; green, F; gray, C. These figures are reproduced from ref. 66 in the manuscript. 12

Complete author list for the ref. 50 in the manuscript 50. Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Montgomery, Jr., J. A.; Vreven, T,; Kudin, K. N.; Burant, J. C.; et al., Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Bakken, V.; Adamo, C.; Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. GAUSSIAN 03 (Revision E.01), Gaussian, Inc., Wallingford, CT, 2004. 13