Optimizing Ion Transport in Polyether-based Electrolytes for Lithium Batteries

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Supporting Information Optimizing Ion Transport in Polyether-based Electrolytes for Lithium Batteries Qi Zheng, 1 Danielle M. Pesko, 1 Brett M. Savoie, Ksenia Timachova, Alexandra L. Hasan, Mackensie C. Smith, Thomas F. Miller III, * Geoffrey W. Coates, * and Nitash P. Balsara,, * Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, USA Department of Chemical and Biomolecular Engineering, University of California, Berkeley, California 94720, USA Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA Environmental Energy Technology Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA 1 These authors contributed equally to the work.

Contents 1. Synthesis Details... S3 1.1 General Considerations... S3 1.2. Materials... S3 1.3 Synthesis of 1,3,6-trioxocane Monomer... S3 1.4 Synthesis of P(2EO-MO) Polymer... S4 1.5 NMR... S5 1.6 GPC... S8 2. DSC of PEO and P(2EO-MO) Electrolytes... S10 3. Li-TFSI Radial Distribution Functions from MD Simulations... S11 4. References... S12 S2

1. Synthesis Details 1.1 General Considerations The synthesis of P(2EO-MO) has been briefly reported 1 3 but previous work has not explored its application as a polymer electrolyte. Step-growth polymerization between diethylene glycol and paraformaldehyde was not successful in obtaining a high molecular weight polymer, instead, an oligomer was synthesized with an M n ~ 1 kda. However, the resulting oligomer can be heated under vacuum and depolymerized to yield the cyclic ether monomer, 1,3,6-trioxocane, which can then be polymerized subsequently under cationic conditions to yield higher molecular weight P(2EO-MO). All air and water sensitive reactions were carried out under dry nitrogen conditions using standard Schlenk techniques or MBraun UniLab drybox. 1.2. Materials Diethylene glycol, paraformaldehyde, polyphosphoric acid, BF 3 OEt 2, α-bromoisobutyryl bromide was purchased from Sigma-Aldrich and used as received. n-heptane was purchased from Fisher Scientific. Dichloromethane and tetrahydrofuran (THF) was purchased from Fisher Scientific and dried using a Phoenix solvent drying system and degassed by freeze-pump-thaw method for three cycles before use. All the other chemicals were purchased from commercial vendors and used as received unless otherwise noted. NMR solvent (CDCl 3 ) was purchased from Cambridge Isotope Laboratories (CIL) and used as received. 1.3 Synthesis of 1,3,6-trioxocane Monomer Diethylene glycol (15.92 g, 150 mmol), paraformaldehyde (5.86 g, 195 mmol), and polyphosphoric acid (~0.2 ml) was dissolved in 30 ml n-heptane. The resulting mixture was S3

refluxed at 110 C for 16 h with a Dean-Stark head to remove the water generated from the reaction. Solvent was removed and the resulting white solid was melted by heating and distilled at 150 C under static vacuum (0.2 torr). The collected liquid was a mixture of the desired product and diethylene glycol. The collected liquid was fractional distilled at 28 C under static vacuum (0.2 torr) to yield the product as a colorless liquid (13.4 g, 75%). The 1 H NMR spectra and 13 C NMR for 1,3,6-trioxocane are shown in Figure S1 and Figure S2. 1.4 Synthesis of P(2EO-MO) Polymer The monomer 1,3,6-trioxocane (4.00 g, 33.9 mmol) was dissolved in 10 ml dichloromethane. To this solution was added a 0.5 mol/ml stock solution of BF 3 OEt 2 (0.677 ml, 0.339 mmol). The mixture was stirred at room temperature for 2 h and quenched with water. The resulting mixture was washed with water and the organic layer was separated and dried over anhydrous Na 2 SO 4. The organic layer was concentrated under rotavapor and added dropwise into hexanes. A white solid was precipitated out. The solid was filtered and dried under vacuum to yield the polymer product as a white solid (3.30 g, 83 %). The 1 H NMR spectra and 13 C NMR for P(2EO-MO) are shown in Figure S3 and Figure S4. Table S1 summarizes the P(2EO-MO) synthesis with different mol% of BF 3 OEt 2 catalysts and temperatures. The polymerization exhibits very fast rates and the reaction normally started to become viscous after 30 minutes and reached full conversion in 2 hours. The yielded polymer has an alternating sequence of 2EO and MO units, and no regio-defects are observed based on 13 C-NMR. It is noteworthy that there is an equilibrium between the high molecular weight polymer and oligo-macrocycles in the cationic ring-opening polymerization (see Figure S5 for an exemplary crude GPC of Table S1 entry 3) possibly because of backbiting from the S4

active chain end. The oligo-macrocycles can be removed by precipitation in hexanes. The formation of oligo-macrocycles was greatly suppressed when the reaction temperature was lowered and an increased M n s was observed for all initiator loadings. The M n s of the synthesized P(2EO-MO) at all loadings were all higher than the theoretical M n, suggesting that not all initiators initiated the polymerization. A similar discrepancy between experimental and theoretical M n s has been reported by Chien and co-workers 1 in polymerizing 1,3,6-trioxocane in toluene with the BF 3 OEt 2 catalyst. Table S1. Synthesis of P(2EO-MO) Entry Temperature Initiator loading Conversion Theoretical M n ( C) (mol%) % a (kg/mol) Experimental M n (kg/mol) b Đb 1 22 1 >99 11.8 74.8 2.3 2 c 22 2 >99 5.9 47.5 2.0 3 22 5 >99 2.4 28.5 1.9 4 0 1 >99 11.8 126.9 2.3 5 0 2 >99 5.9 66.6 2.6 6 0 5 >99 2.4 58.5 2.2 a The conversion of the polymerization was determined from 1 H-NMR from the crude reaction mixture. b Number average molecular weight (M n ) and polydispersity index (PDI) were determined by THF gel permeation chromatography calibrated with polystyrene. c Polymer from a scale-up reaction of this entry was used for electrochemical study in this paper. The polymer used in this study has an M n of 55 kda and polydispersity index of 2.2. 1.5 NMR 1 H NMR spectra were collected on a Bruker AV 500MHz spectrometer equipped with liquid nitrogen cooled cryoprobe and referenced with residue non-deuterated solvent shifts (CHCl 3 = 7.26 ppm). 13 C NMR spectra were collected on a Bruker AV 500 MHz ( 13 C, 125 MHz) spectrometer liquid nitrogen cooled cryoprobe and referenced to chloroform (δ 77.23 ppm). High resolution mass spectrometry (DART-HRMS) analyses were performed on a Thermo Scientific Exactive Orbitrap MS system equipped with an Ion Sense Direct Analysis in Real Time (DART) ion source. + HRMS (DART) m/z calculated for C 5 H 11 O 3 [M + H] + 119.07027, found 119.07095. S5

Figure S1. 1 H-NMR (500 MHz, CDCl3) δ 4.88 (s, 2H), 3.81 (s, 8H) spectrum of 1,3,6- trioxocane. Signal at 7.26 ppm is residue CHCl 3. S6

Figure S2. 13 C-NMR (125 MHz, CDCl3) δ 98.65, 73.29, 71.30 spectrum of 1,3,6- trioxocane. Signal at 77.16 ppm is residue CHCl 3. Figure S3. 1 H-NMR (500 MHz, CDCl3) δ 4.73 (s, 2H), 3.74 3.61 (m, 8H) spectrum of poly(1,3,6-trioxocane). Signal at 7.26 ppm is residue CHCl 3. S7

Figure S4. 13 C-NMR (125 MHz, CDCl3) δ 95.73, 70.59, 67.02 spectrum of poly(1,3,6- trioxocane). Signal at 77.16 ppm is residue CHCl 3. 1.6 GPC Gel permeation chromatography (GPC) analyses were carried out using an Agilent PL- GPC 50 integrated system, equipped with UV and refractive index detectors, and 2 PL gel Mini- MIX C columns (5 micron, 4.6 mm ID). The GPC columns were eluted with tetrahydrofuran at 30 C at 0.3 ml/min and were calibrated with monodisperse polystyrene standards. S8

Figure S5. GPC traces of the crude mixture of Table 1 entry 3. S9

2. DSC of PEO and P(2EO-MO) Electrolytes Figure S6. Differential scanning calorimetry (DSC) curves of (a) PEO and (b) P(2EO- MO) electrolytes at different salt concentrations. S10

3. Li-TFSI Radial Distribution Functions Figure S7 shows a comparison of the Li-TFSI radial distribution function (rdf) in PEO and P(2EO-MO) as a function of salt concentration. In each case the rdf is calculated with respect to the Li cations and the oxygen atoms in TFSI. The rdfs show a minimal counter-ion presence in the first solvation shell of the ions. The counter-ion feature in the Li-solvation shell is also much weaker than the corresponding ether oxygen feature in the polymer-li rdfs. This data is consistent weak ion pairing in both polymers for all studied salt concentrations. Figure S7. Comparison of Li-TFSI radial distribution functions at different salt concentrations in PEO (left) and P(2EO-MO) (right). Note, r in each legend refers to the salt concentration. S11

4. References (1) Xu, B.; Lillya, C. P.; Chien, J. C. W. Cationic Polymerizations of 1,3,6-Trioxocane and 2- Butyl-1,3,6-trioxocane. Macromolecules 1987, 20 (7), 1445 1450. (2) Okada, M.; Kozawa, S.; Yamashita, Y. Kinetic studies on the polymerization of 1.3.6 trioxocane catalyzed by triethyl oxonium tetrafluoroborate. Macromol. Chem. Phys. 1969, 127 (1), 66 77. (3) Kawakami, Y.; Yamashita, Y. Macrocyclic Formals. 3. Two-Stage Polymerization of 1,3- Dioxacycloalkanes. Macromolecules 1977, 10 (4), 837 839. S12