Materials
The hydroxy-terminated perfluorinated poly(propylene ether) (PFPE-OH, Mw ~ 1300 g/mol, CAS Number: 1980064-28-5) was purchased from Apollo Scientific Ltd., UK. Oligo(ethylene glycol) methyl ether acrylate (OEGA, Mw = 480 g/mol) purchased from Sigma Aldrich was passed through basic alumina columns to remove inhibitors before use. The initiator 2,2’-azobis(2-methylpropionitrile) (AIBN) was recrystallized twice from methanol prior to use. The RAFT agent 2-(butylthiocarbonothioylthio)propionic acid (BTPA) was prepared according to a previously reported procedure.73 V2O5 (99.9%) and H2C2O4 (anhydrous) were and all other chemicals were purchased from Sigma Aldrich and used as received.
Synthesis of CTRL- and PFPE-polymers
Synthesis of CTRL- and PFPE-polymers was performed according to reported methods.25 In a typical experiment for preparing EO10-PFPE, PFPE macro-RAFT agent (187 mg, 0.11 mmol), PEGA (770 mg, 1.6 mmol), and AIBN (3.28 mg, 0.020 mmol) were dissolved in trifluorotoluene (2 mL) and sealed in a 10 mL flask fitted with a magnetic stirrer bar. The solution was then deoxygenated by purging thoroughly with nitrogen for 15 min, heated to 65 °C in an oil bath, and allowed to react for ≈ 4 h with conversion at ≈ 70%. Upon completing the reaction, the solution was precipitated into hexane three times. The precipitate was then dried in a vacuum oven at 60 °C for 12 h, yielding a yellow viscous solid. Polymers with a range of PFPE compositions were prepared under identical conditions apart from differences in the initial feed amount between PEGA and PFPE macro-RAFT agent. The CTRL sample was prepared with the same procedure in the absence of PFPE macro-RAFT agent.
Polymer electrolyte preparation
The polymer electrolytes were prepared by solvent casting method as described in previous literature.74, 75 Particularly, PFPE polymer was dried at 50 oC under vacuum for two days and dissolved in dry acetonitrile together with dry NaFSI salt. The salt concentration was determined by the molar ratio of PEGA groups and NaFSI salt. In this study, high concentration of NaFSI salt was used, and the EO/Na ratio was kept as 10/1 and 5/2, corresponding to one and two Na+ per PEGA side chain, respectively. For battery tests, composite electrolytes with incorporation of PVDF fibers were used, the composite electrolytes were prepared by casting prepared polymer solution with PVDF matrix (≈ 100 μm of thickness) according to our previous work.74 The composites with Solupor separators were prepared the same way. The composites were finally dried under vacuum at least for 2 days in order to completely remove solvent and water residuals.
Synthesis of carbon-coated Na3V2(PO4)3 (NVP)
The synthesis of carbon-coated Na3V2(PO4)3 (NVP) was performed as described elsewhere.76 In a typical synthesis, V2O5 and H2C2O4 were dissolved into deionized water and vigorously stirred at 70 °C for 1 h in order to obtain a VOC2O4 solution. Sequentially, NaH2PO4 and glucose were added to VOC2O4 solution and the mixture was kept under stirring for additional 10 minutes. Afterwards, N-propanol was further added into VOC2O4 solution and was left stirring for 30 min. The NVP precursor was obtained by removing the solvent by the aid of a rotary evaporator and the as-obtained solid was further dried under vacuum at 60 °C for 12h. Finally, Na3V2(PO4)3/C micro-composites were obtained by pre-treating the precursor at 400 °C for 4 h followed by annealing at 750 °C for 8 h under inert atmosphere (Ar) at a heating rate of 5 °C/min.
Cathode preparation.
Cathode electrodes were prepared by using a slurry composed of 60 wt% of active material Na3V2(PO4)3/C), 30wt% of polymer electrolyte binder and 10 wt% of conductive carbon (C65, Timcal). The slurry was obtained by initially dissolving the binder in NMP (N-2-methyl-pyrrolidinone) in a small beaker followed by mild stirring for 30 min. In parallel, a pre-weighted amount of NVP cathode material and carbon C65 were ground in an agate mortar for 30 minutes. Afterwards, the ground solid mixture was added to the beaker containing the pre-dissolved binder and a few extra drops of NMP solvent were added to the beaker. In order to obtain a homogeneous slurry, the beaker was left stirring overnight. Subsequently, the viscous slurry was cast onto aluminum foil by using of a doctor blade. The as-obtained film was initially dried at 60°C under vacuum for 24h and then punched into disks to obtain the electrodes. Before being transferred to the glovebox, the electrodes were further dried in schlenk line for 12 h at 80 °C using an air tight vessel. After transferring the vessel to the glovebox (Kiyon, Korea), a set of electrodes (with diameter of 8mm) were weighed and the average active mass loading of the electrodes were around 1.0 mg cm-2.
Characterization
Differential scanning calorimetry (DSC). A Netzsch DSC (214 Polyma) was used to investigate the thermal behaviors of the electrolytes with and without salt. For DSC measurements, an Al pan was used and 5−10 mg of material was sealed in an argon glovebox. Prior to measurements, the DSC instrument was calibrated by using cyclohexane. All samples were cooled to −120 °C first and then heated to 180 °C with a cooling and heating rate of 10 °C/min. The DSC scans reported in this study were extracted from the second heating scan.
NMR spectroscopy. Solution-state 1H and 19F NMR spectra were recorded on a Bruker Avance 400 MHz (9.4 T) spectrometer in CDCl3. Chemical shifts (δ) in 1H NMR spectra are reported in ppm relative to the residual CHCl3 (7.26 ppm). Solid-state NMR spectra were acquired on a Bruker 300 MHz spectrometer.
Small-angle X-ray scattering (SAXS). SAXS measurements of bulk samples were conducted using a custom-built SAXS diffractometer at the Materials Research Laboratory (MRL) X-ray facility (University of California, Santa Barbara). For these experiments, 1.54 Ǻ Cu Kα X-rays were generated using a Genix 50 W X-ray microsource (50 μm micro-focus) equipped with FOX2D collimating multilayer optics (Xenocs, France) and high efficiency scatterless single crystal/metal hybrid slits. Samples were prepared using capillaries for SAXS experiments.
Dynamic mechanical thermal analysis (DMTA). Rheological experiments were performed on either TA Instruments ARES dynamic mechanical spectrometer using the 25 mm parallel plate geometry with a gap of approximately 1 mm for most experiments. Strain sweep experiments determined the linear viscoelastic region. Isothermal frequency sweeps (100–0.1 rad/sec) were performed in the linear viscoelastic regime, as confirmed by strain sweep measurements at selected temperatures. Temperature was controlled using the forced convection oven attachment.
Electrochemical measurements and full cell tests. Ionic conductivity. The ionic conductivities of PFPE and control electrolytes were measured using electrochemical impedance spectroscopy (EIS) on a Solartron instrument. The frequency range was set from 1 MHz - 0.1 mHZ with an amplitude voltage of 10 mV. The samples were sealed in a home-made barrel cell in an Ar-glove box. The temperature was controlled via a Eurotherm 2204 controller, and the temperature range was from 30 to 100 °C (10 oC interval). Before each EIS test, the temperature was stabilized for 40 minutes.
Coulombic efficiency. The Na/Cu cells were assembled in Ar-filled glovebox. The diameters of Cu and Na disks are 10mm and 8 mm, respectively. For each cycle, the experiments were done by plating 0.2 mAh cm-2 of Na on Cu electrode (1 hour with current density of 0.2 mA cm-2) then followed by a stripping process at a current density of 0.1 mA cm-2 to a cut-off voltage of 1.0 V. All experiments were done at 80 oC.
Na+ transference number (tNa+). The transference number was determined by the method reported previously, and was calculated by the following formula:
Where the Rcell is the total resistance determined by EIS before DC polarization. The VDC is the applied polarization voltage of 10 mV and the steady state current IDC is obtained after 4 hours of stabilization.
To determine the Rcell, the following equivalent circuit is used:
Where R1 is the bulk resistance of electrolyte material. R2 and R3 represent the resistance related with two electrode surfaces.
Na/Na3V2(PO4)3 battery tests. All-solid-state sodium-metal batteries comprising the NVP cathode were assembled in CR 2032 coin cells inside the Ar-filled glovebox (O2 <0.1 ppm, H2O <0.1 ppm). The sodium metal foil (Merck) was rolled and brushed, then cut into anode disks with diameter of 8 mm (area of ~0.5 cm2) as anode. Full cells were cycled in a VMP-3 potentiostat in a potential range of 2.5-3.8 V at 80 °C.
Theoretical calculations.
Molecular dynamic (MD) simulations. The molecular structures studied were prepared in GaussView and their atom types and charges were obtained from the CHARMM force field. The CHARMM general force field77, 78 was implemented for the bond, angle, and dihedral parameters of the ligands and solvent molecules. Non-bonding interactions between these molecules, such as vdW attraction and steric repulsion were described by the Lennard-Jones (LJ) potential,
where 𝜀 is the minimum (negative) energy of this coupling, and 𝑟 is a distance where has a local minimum, which are provided by the CHARMM force field. Here, the 𝑟−12 term describes an atomic repulsion, due to overlapping electron orbitals, and the 𝑟−6 term represents the vdW attractive coupling. The LJ potential implemented in NAMD has a cutoff distance of 1 nm. The electrostatic coupling between ions and partially charged atoms, also contribute to the non-bonding interactions, has the same cutoff distance as the LJ potential, but its long-range part is calculated by the PME method79 in the presence of periodic boundary conditions. The molecular dynamic (MD) simulations of the prepared systems were performed with NAMD80 in an NPT ensemble at T = 298 K and P = 1 atm, using the Langevin dynamics with a damping constant of 𝛾Lang = 0.1 ps‑1 and a time step of 2 fs.
For MD simulations in the organic solvent droplet, in order to overcome a potentially poor polymer mobility in the simulations, we analyzed the behavior of the same polymer in diethyl ether as a solvent, leading to the well-equilibrated polymer-ion assembly. We run two analogous MD simulations with (i) EO5-PFPE and (ii) EO5-CTRL, both in diethyl ether droplets (initially in a form of 7 × 7 × 7 nm cubes, which were placed in 30 × 30 × 30 nm vacuum boxes), composed of:
- 13 EO5-PFPE molecules, 1987 diethyl ether molecules, 65 Na+ cations and the same number of FSI– anions. These numbers yield concentration of the polymer equal to 27.0% by mass (63.0 mM); EO-to-Na+ ratio was equal to 8:1.
- 13 EO5-CTRL molecules, 1987 diethyl ether molecules, 65 Na+ cations and the same number of FSI– anions. These numbers yield the same molar concentration of the polymer as in (i), 63.0 mM, and 17.8% by mass; EO-to-Na+ ratio was also equal to 8:1.
Binding energy calculations. Based on the obtained trajectories, we calculated the binding energies between the polymer chains, Na+-polymer, FSI-polymer and Na+-FSI pairs using the NAMD Energy toolkit. The calculations were run for the last 1 ns of the 200 ns simulations.