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Stabilizing Superionic-Conducting Structures via Mixed-Anion Solid Solutions of Monocarba-closo-borate Salts
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Stabilizing Superionic-Conducting Structures via Mixed-Anion Solid Solutions of Monocarba-closo-borate Salts
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NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-6102, United States
Department of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742-2115, United States
§ Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg 620990, Russia
National Renewable Energy Laboratory, Golden, Colorado 80401, United States
# Energy Nanomaterials, Sandia National Laboratories, Livermore, California 94551, United States
WPI-Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
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ACS Energy Letters

Cite this: ACS Energy Lett. 2016, 1, 4, 659–664
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https://doi.org/10.1021/acsenergylett.6b00310
Published September 1, 2016

Copyright © 2016 American Chemical Society. This publication is licensed under these Terms of Use.

Abstract

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Solid lithium and sodium closo-polyborate-based salts are capable of superionic conductivities surpassing even liquid electrolytes, but often only at above-ambient temperatures where their entropically driven disordered phases become stabilized. Here we show by X-ray diffraction, quasielastic neutron scattering, differential scanning calorimetry, NMR, and AC impedance measurements that by introducing “geometric frustration” via the mixing of two different closo-polyborate anions, namely, 1-CB9H10 and CB11H12, to form solid-solution anion-alloy salts of lithium or sodium, we can successfully suppress the formation of possible ordered phases in favor of disordered, fast-ion-conducting alloy phases over a broad temperature range from subambient to high temperatures. This result exemplifies an important advancement for further improving on the remarkable conductive properties generally displayed by this class of materials and represents a practical strategy for creating tailored, ambient-temperature, solid, superionic conductors for a variety of upcoming all-solid-state energy devices of the future.

Copyright © 2016 American Chemical Society

We have previously shown that the broad class of closo-polyborate salt compounds containing lithium and sodium cations routinely exhibit entropy-driven order–disorder transitions to become impressive superionic conductors. (1-4) The most spectacular ones to date are based on the more weakly coordinating monovalent CB11H12 and 1-CB9H10 anions. For example, NaCB9H10 displays a room-temperature Na+ conductivity of about 0.03 S cm–1, (4) which well surpasses that of any known polycrystalline Na or Li competitors, (5-7) including many liquid Na+ or Li+ electrolytes. (8-10) The ionic saltlike nature of all these compounds guarantees negligible electronic conductivity. Moreover, the overly large cagelike anions, although orientationally extremely mobile, remain translationally rigid within high-symmetry [face-centered-cubic (fcc), body-centered-cubic (bcc), or hexagonal], disordered, cation-vacancy-rich lattices, and their pseudoaromatic nature (11) leads to high chemical and electrochemical stability. All these observed disordered symmetries exhibit superionic conductivities, and although it is believed from purely geometric arguments that the bcc lattice is relatively superior for cation diffusion, (12) the more subtle effects of lattice structure on conductivity for these types of compounds seem to be overwhelmed by other factors such as the cooperative effects of anion reorientational motions on cation translations.
To make these materials more relevant for near-ambient-temperature device technologies, we need strategies for lowering (well below room temperature) or completely eliminating the transition temperature to the structurally disordered phases responsible for superionic conduction. This can be potentially accomplished in various ways. One obvious approach is to chemically modify the anions. A good example is the replacement of one apical boron atom of B10H102– with carbon to form 1-CB9H10 anions. The resulting NaCB9H10 salt possesses a lower transition temperature and a higher conductivity than Na2B10H10. (2, 4) More recently, we successfully demonstrated a second approach: that the disordered structures, and thus superionic conductivity, for a variety of closo-polyborate salts could indeed typically be stabilized at room temperature and below by crystallite nanosizing/disordering via mechanical milling. (13)
Here we demonstrate a third approach to stabilize disordered superionic structures well below room temperature without the need for mechanical milling, i.e., by synthesizing mixed-closo-polyborate-anion compounds from solutions. In particular, we formed Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12) compound mixtures by drying aqueous solutions with equimolar amounts of either LiCB9H10 + LiCB11H12 or NaCB9H10 + NaCB11H12. Figure 1 displays the room-temperature X-ray powder diffraction (XRPD) patterns of the resulting precipitated mixtures after final vacuum drying steps overnight at 473 K. Rietveld refinement results for Li2(CB9H10)(CB11H12) confirm the formation of two equally prevalent disordered phases, one hexagonal (but with a slightly larger unit cell) like that found for pristine superionic LiCB9H10 above ≈350 K (4) and another fcc (but with a slightly smaller unit cell) like that found for pristine superionic LiCB11H12 above ≈395 K. (3) The different phases are due to either similar-energy disordered polymorphs, which is possible for closo-polyborates (1, 3) or incomplete homogenization yielding two mixture fractions, one that is slightly CB9H10-rich (hexagonal) and one that is slightly CB11H12-rich (fcc). The larger hexagonal lattice is consistent with the substitution of larger CB11H12 anions for smaller CB9H10 anions in the LiCB9H10-like disordered hexagonal structure, and the smaller fcc lattice is consistent with the substitution of smaller CB9H10 anions for larger CB11H12 anions in the LiCB11H12-like disordered fcc structure. In addition, a very minor fraction of a third disordered phase seems to be present, similar to the additional hexagonal (h2) polymorph previously observed at 428 K for NaCB11H12. (3) We stress that these different hexagonal and fcc disordered structures have been shown to be superionic for the single-anion analogs. (3, 4)

Figure 1

Figure 1. Room-temperature XRPD data [experimental (blue circles), fitted (orange line), and difference (black line) patterns] for solution-dried (a) Li2(CB9H10)(CB11H12) and (b) Na2(CB9H10)(CB11H12). Vertical green and red bars indicate the positions of Bragg peaks for the high-T hexagonal and fcc phases, respectively. The refined unit cell parameters for the Li-mixed sample are a = 6.8589(5) Å, c = 11.0116(11) Å, and V = 448.64(6) Å3 for the hexagonal structure; a = 9.7541(7) Å and V = 928.03(11) Å3 for the fcc structure (χ2 = 2.40; Rp = 0.110; Rwp = 0.0965). Refinement indicated an additional disordered phase (purple bars) indexed by profile matching to a probable hexagonal unit cell with parameters a = 6.86 Å and c = 16.85 Å. The refined unit cell parameters for the Na-mixed sample are a = 6.9905(11) Å, c = 11.3390(17) Å, and V = 479.88(13) Å3 for the hexagonal structure; a = 9.855(3) Å and V = 957.1(5) Å3 for the fcc structure (χ2 = 3.19; Rp = 0.156; Rwp = 0.132). (c) The disordered hexagonal structure with orange Li+/Na+ cation positions and large green (B/C atoms) and gray (H atoms) spheres denoting the diffraction-average spherical shells of scattering from the orientationally disordered CB9H10 and CB11H12 anions (superimposed).

For Na2(CB9H10)(CB11H12), Rietveld refinement results confirm the formation of a predominant disordered hexagonal phase (but with a slightly larger unit cell) like that found for pristine superionic NaCB9H10 above ≈310 K (4) (with a minute fraction of fcc phase also present). The larger lattice again is consistent with the substitution of larger CB11H12 anions for CB9H10 anions in the NaCB9H10-like disordered hexagonal structure. We point out that the relatively low scattering from the liquidlike sublattice of cations associated with both the Na- and Li-based disordered mixtures precluded us from determining the distribution and occupations of cation interstitial sites using XRPD data. This will require additional neutron powder diffraction studies with 11B-enriched, deuterated samples, which are currently unavailable.
Differential scanning calorimetry (DSC) measurements for both mixtures cycled between 200 and 473 K (Figure S1 of the Supporting Information) displayed no obvious endothermic or exothermic phase transitions, indicating that the disordered solid-solution phases are stable at least within this temperature range.
Figure 2 shows NMR measurements of the 1H spin–lattice relaxation rates R1H for Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12). For comparison, this figure also includes the fitted R1H(T) results (14) for the pristine LiCB11H12 and NaCB11H12 compounds undergoing their order–disorder phase transitions near 384 and 376 K, respectively. Figure 2 indicates that both Li- and Na-based mixtures retain high anion reorientational mobilities down to low temperatures because of the suppression of transitions to ordered phases. Indeed, the R1H(T) maximum (corresponding to the H jump rate of ≈108 s–1) is observed near 230 K for Li2(CB9H10)(CB11H12) and near 220 K for Na2(CB9H10)(CB11H12). For both mixtures, room temperature corresponds to the high-T slope of the R1H(T) peak (fast-motion limit), and a rough estimate of the H jump rate at 300 K gives 1010 s–1. It is interesting to note that for both mixtures, the high-T slope of the relaxation rate peak looks like a continuation of the slope for the disordered phase of the corresponding MCB11H12 compound. The activation energies for reorientational motion estimated from the high-T slopes are 220 meV for Li2(CB9H10)(CB11H12) and 180 meV for Na2(CB9H10)(CB11H12), values close to the activation energies found for the disordered phases of both LiCB11H12 and NaCB11H12 (177 meV). (14) Moreover, the experimental R1H(T) data for both mixtures indicate the presence of certain distributions of H jump rates. The characteristic signs of such distributions (15) include (i) the considerably smaller R1H(T)-peak amplitudes for the solid solutions compared to those for the pure component salts (14) and (ii) the steeper high-T slopes of the R1H(T) peaks compared to the low-T slopes (see Figure 2). Distributions of reorientational jump rates are expected, because there are two types of anions, and their disordered local environments will vary from one anion to the next. While for Na2(CB9H10)(CB11H12) the proton spin–lattice relaxation is found to be single-exponential over the studied temperature range, deviations from the single-exponential relaxation are observed for Li2(CB9H10)(CB11H12) below 270 K. (In this range, Figure 2 shows the results of a single-exponential approximation.) This feature is likely related to the coexistence of two disordered phases (hexagonal and fcc), as indicated in Figure 1a. To probe the cation mobility, we have also measured the 23Na NMR spectra in Na2(CB9H10)(CB11H12) and found an extremely narrow 23Na NMR line (0.4 kHz fwhm) at room temperature, indicating a fast, long-range diffusive motion of Na+ cations with a jump rate exceeding at least ≈104 s–1 (the lower limit from the 23Na NMR spectral measurements).

Figure 2

Figure 2. Proton spin–lattice relaxation rates measured at 28 MHz versus inverse temperature for Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12). The black lines show the fits to the proton spin–lattice relaxation rates at the same frequency for LiCB11H12 and NaCB11H12 from ref 14 undergoing their order–disorder phase transitions near 384 and 376 K, respectively.

In agreement with the NMR results, neutron-elastic-scattering fixed-window scans (FWSs) between 100 and 400 K for the Li and Na sample mixtures in Figure 3 also indicate highly mobile anion reorientational motions already approaching 108 jumps s–1 by around 240 and 210 K, respectively, as signaled by the onset of the drop in neutron elastic intensity near these temperatures. The jump rates attain the order of 1010 reorientational jumps s–1 by around 330 and 300 K, respectively, as the FWS intensities level off again. For comparison, the much sharper intensity changes for the FWSs for the pure component salts at higher temperatures mark the more abrupt hysteretic phase-change behaviors from relatively immobile anions in the lower-T ordered phases (<108 jumps s–1) to significantly more mobile anions in the high-T disordered phases (>1010 jumps s–1). The high anion mobility seen for the anion mixtures by both NMR and FWSs is representative behavior of superionic-conducting disordered closo-polyborate phases. (3, 4, 14)

Figure 3

Figure 3. Neutron elastic-scattering FWSs for Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12) compared with those for the various single-anion component compounds, summed over detectors covering a Q range of 0.87–1.68 Å–1. Arrows differentiate heating and cooling scans. For a reasonable qualitative comparison, the individual data sets were scaled so as to have similar minimum and maximum intensities.

Figure 4 shows the T-dependent ionic conductivity for Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12) compared with that for the component compounds. (3, 4) As for the component compounds, (3, 4) the complex impedance plots of the solid solutions in Figure S2 represent purely ionic conductors. The Li2(CB9H10)(CB11H12) conductivity seems to match that for disordered LiCB9H10 (ref 4) and Li10GeP2S12 (ref 5) at 350 K (≈0.04 S cm–1) and above, remaining somewhat lower than that for disordered LiCB11H12 (ref 3) above 380 K. Below 350 K, the Li2(CB9H10)(CB11H12) conductivity decreases below that of Li10GeP2S12 to ≈4 μS cm–1 by 243 K. The Na2(CB9H10)(CB11H12) conductivity is much more impressive, seemingly even better than disordered NaCB9H10 and NaCB11H12 at all temperatures, (3, 4) and decreasing much less rapidly with temperature, from ≈0.07 S cm–1 at 300 K to ≈5 mS cm–1 at 243 K. This disordered solid-solution Na+ conductor displays conductivity substantially higher than that of any known solid Na+ or Li+ conductor. Indeed, a 300 K comparison in Figure 4 shows that it is roughly 50× more conductive than its closest Na+ competitor, Na3PSe4, (6) and around 7× better than Li10GeP2S12. (5) The relatively larger cell constants, higher anion mobility, and potentially weaker cation–anion interactions for Na2(CB9H10)(CB11H12) [compared to Li2(CB9H10)(CB11H12)] likely all contribute to its unmatched conductivity.

Figure 4

Figure 4. (a) Temperature dependences of the ionic conductivities (σ) for solution-dried, cold-pressed Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12) using Li and Au electrodes, respectively, compared with those for the single-anion compounds (3, 4) and the closest-performing competitors, Li10GeP2S12 and Na3PSe4, (5, 6) and (b) ln(σT) vs T–1 and resulting fitted activation energies for the two mixed compounds. Closed and open symbols denote heating and cooling cycles, respectively.

The conductivity barriers estimated in Figure 4 [311(2) meV and 226(2) meV for Li+ and Na+, respectively] above room temperature, are in general agreement with those for the single-anion compounds. (3, 4) The apparent changes in the overall barriers at subambient temperatures [to 743(2) and 348(2) meV, respectively] signal changes in the rate-limiting steps. If the highly reorientationally mobile anions are enabling a reduced conductivity barrier at higher temperatures via a cooperative dynamical effect with the diffusing cations, a higher barrier emerging with decreasing temperatures may be indicating their reducing influence due to decreasing mobility. Further insights still await molecular dynamics computations.
The combined experimental results above suggest that mixing anions of slightly different geometric “flavors” such as CB9H10 (ellipsoidal) and CB11H12 (icosahedral) entail an enthalpic penalty upon formation of any possible ordered phase. In particular, trying to incorporate either CB11H12 into an ordered LiCB9H10 or NaCB9H10 lattice (4, 16) or 1-CB9H10 into an ordered LiCB11H12 or NaCB11H12 lattice (3) likely leads to some degree of geometric frustration with the surrounding cations. Hence, it appears that the disordered phase is favored outright, in which the exact geometric flavor of orientationally disordered anions is much less important within the more accommodating disordered cation sublattice.
Although solution-drying is likely the preferred route for accomplishing molecular-level mixing of these anions, and past experience indicates that it can also work for synthesizing mixed Li+ and Na+ cation phases with closo-borate anions, (17) we know that not all such anions can be effectively mixed in this way. For example, our earlier attempts to form a 1:1 solid solution of Na2B12H12 and Na2B10H10 in this way proved to be unsuccessful. One main reason is that each of these fast-ion-conducting compounds can possess varying solubilities and tend to form different stable solid hydrates during precipitation. Upon precipitation, the hydrates of the different compounds often form independently into large crystallites with little mixing. Further vacuum drying leads to coarse mixtures of the original single-anion compounds. Because the anion translational mobilities are extremely low, annealing these coarse mixtures at reasonable temperatures is insufficient to cause molecular-level intermixing of the anions on an acceptable time scale. In these cases, mechanically milling anhydrous compound mixtures is one way to ensure such intimate intermixing, as was demonstrated for a ball-milled 1:1 Na2B12H12:Na2B10H10 mixture, (13) which exhibited a room-temperature bcc-like disordered phase reminiscent of superionic Na2B12H12, (18) but with a smaller unit-cell volume intermediate between those for pure Na2B12H12 and Na2B10H10.
It is worth mentioning that inadvertent yet advantageous anion-mixing effects leading to enhanced cationic conductivity may also be occurring during the alternative solvent-free-synthesis method for producing B12H122–-based compounds via reaction of MH or MBH4 with B10H14. (19, 20) It is known that other anions, most notably B10H102– anions, are routinely present in nontrivial amounts, (19, 20) so that the final M2B12H12 may actually be a mixed-anion phase, which based on what we now know, can lead to a solid solution with structural disorder and unexpected conductivity behavior. Indeed, this may explain the much higher room-temperature ionic conductivities observed for Li2B12H12 and the anomalous order–disorder transition temperature observed for LiNaB12H12 (with ∼14% B10H102– anions), both compounds which were synthesized by the solvent-free method, (21, 22) compared to the corresponding properties for Li2B12H12 and LiNaB12H12 samples known to be largely free of such anion impurities. (13, 17) From the viewpoint of producing a better ionic conductor, such impurities are desirable and can lead to stabilization of the desired superionic disordered phases at room temperature and below.
We further tested the ball-milling strategy with the present carborate compounds by separately ball-milling 1:1 anhydrous LiCB9H10:LiCB11H12 and NaCB9H10:NaCB11H12 mixtures. Room-temperature XRPD patterns (Figure S3) confirmed that both ball-milled mixtures formed predominantly hexagonal disordered structures like the pure disordered MCB9H10 compounds (but with slightly expanded unit cells and broadened Bragg peaks), consistent with nanosized crystallites and more complete homogenization. However, annealing these samples for only 1 h at 473 K led to a sharpening of the Bragg peaks presumably due to sintering. The Na-based mixture remained hexagonal, with an XRPD pattern closely resembling that of its solution-dried analog in Figure 1. The Li-based mixture shifted from predominantly hexagonal to a combination of hexagonal and fcc, again with an XRPD pattern closely resembling its solution-dried analog. DSC measurements again showed no phase transitions between 200 and 473 K, and FWSs (Figure S4) indicated anion reorientational mobility behaviors similar to those for the solution-dried samples. Finally, conductivities (Figure S5) followed trends with temperature similar to those of the solution-dried samples, although the values observed for the ball-milled samples (compared to the solution-dried samples) were around 2× larger for Na+ and 2–7× smaller for Li+. The reasons for these variations are not yet clear and will require more extensive studies, but they may have something to do with the preparation-dependent differences in particle morphologies, anion mixing, and anion degradations.
Despite these conductivity differences, both methods confirm that anion mixing indeed leads to intimately anion-mixed solid solutions with disordered superionic structures down to subambient temperatures. Further work is in progress to tune the procedures that will yield optimal conductivity properties. Such spectacular mixture-induced behavior is an additional promising development that further enhances the prospects of this broad class of large polyhedral-anion-based compounds for successful incorporation into next-generation, all-solid-state energy-storage devices.

Experimental Methods

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Anhydrous lithium and sodium 1-carba-closo-decaborates and carba-closo-dodecaborates (LiCB9H10, NaCB9H10, LiCB11H12, and NaCB11H12) were used as starting materials. (N.B., as there are two possible CB9H10 isomers, 1-carba- refers to carbon occupying an apical position of the bicapped-square-antiprismatic CB9H10 anion. Here, it is assumed that CB9H10 refers to the 1-CB9H10 isomer.) Mixed-anion solid-solution phases Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12) were synthesized by first dissolving equimolar amounts of the respective pure anhydrous components in water followed by solid-hydrate precipitation by room-temperature evacuation of the excess water, and finally by complete removal of any remaining solid-hydrate waters by overnight evacuation at 473 K. For comparison, 100 h ball-milled, 1:1 anhydrous mixtures of LiCB9H10:LiCB11H12 and NaCB9H10:NaCB11H12 were prepared according to procedures in ref 13. More complete information about starting materials and experimental details concerning XRPD, NMR, DSC, FWSs, and conductivity measurements can be found in the Supporting Information.
Structural depictions were made using the VESTA (Visualization for Electronic and Structural Analysis) software. (23) For all figures, standard uncertainties are commensurate with the observed scatter in the data, if not explicitly designated by vertical error bars.

Supporting Information

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The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acsenergylett.6b00310.

  • Experimental details; DSC scans; complex impedance plots for solution-dried sample mixtures; and XRPD, FWS, and ionic conductivity data for analogous ball-milled sample mixtures (PDF)

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Author Information

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  • Corresponding Authors
    • Wan Si Tang - NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-6102, United StatesDepartment of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742-2115, United States Email: [email protected]
    • Shin-ichi Orimo - Institute for Materials Research, Tohoku University, Sendai 980-8577, JapanWPI-Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan Email: [email protected]
    • Terrence J. Udovic - NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-6102, United States Email: [email protected]
  • Authors
    • Koji Yoshida - Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
    • Alexei V. Soloninin - Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg 620990, Russia
    • Roman V. Skoryunov - Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg 620990, Russia
    • Olga A. Babanova - Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg 620990, Russia
    • Alexander V. Skripov - Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg 620990, Russia
    • Mirjana Dimitrievska - NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-6102, United StatesNational Renewable Energy Laboratory, Golden, Colorado 80401, United States
    • Vitalie Stavila - Energy Nanomaterials, Sandia National Laboratories, Livermore, California 94551, United States
  • Notes
    The authors declare no competing financial interest.

Acknowledgment

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This work was performed, in part, in collaboration between members of IEA HIA Task 32–Hydrogen-based Energy Storage. The authors gratefully acknowledge support from the Collaborative Research Center on Energy Materials, Tohoku University; JSPS KAKENHI under Grant Nos. 25220911 and 26820311; the Russian Federal Agency of Scientific Organizations under Program “Spin” No. 01201463330; and the Russian Foundation for Basic Research under Grant No. 15-03-01114. M.D. gratefully acknowledges research support from the U.S. DOE Office of Energy Efficiency and Renewable Energy, Fuel Cell Technologies Office, under Contract No. DE-AC36-08GO28308. Sandia National Laboratories is a multiprogram laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. DOE’s National Nuclear Security Administration under Contract No. DE-AC04-94AL85000. This work utilized facilities supported in part by the National Science Foundation under Agreement DMR-0944772.

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  • Abstract

    Figure 1

    Figure 1. Room-temperature XRPD data [experimental (blue circles), fitted (orange line), and difference (black line) patterns] for solution-dried (a) Li2(CB9H10)(CB11H12) and (b) Na2(CB9H10)(CB11H12). Vertical green and red bars indicate the positions of Bragg peaks for the high-T hexagonal and fcc phases, respectively. The refined unit cell parameters for the Li-mixed sample are a = 6.8589(5) Å, c = 11.0116(11) Å, and V = 448.64(6) Å3 for the hexagonal structure; a = 9.7541(7) Å and V = 928.03(11) Å3 for the fcc structure (χ2 = 2.40; Rp = 0.110; Rwp = 0.0965). Refinement indicated an additional disordered phase (purple bars) indexed by profile matching to a probable hexagonal unit cell with parameters a = 6.86 Å and c = 16.85 Å. The refined unit cell parameters for the Na-mixed sample are a = 6.9905(11) Å, c = 11.3390(17) Å, and V = 479.88(13) Å3 for the hexagonal structure; a = 9.855(3) Å and V = 957.1(5) Å3 for the fcc structure (χ2 = 3.19; Rp = 0.156; Rwp = 0.132). (c) The disordered hexagonal structure with orange Li+/Na+ cation positions and large green (B/C atoms) and gray (H atoms) spheres denoting the diffraction-average spherical shells of scattering from the orientationally disordered CB9H10 and CB11H12 anions (superimposed).

    Figure 2

    Figure 2. Proton spin–lattice relaxation rates measured at 28 MHz versus inverse temperature for Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12). The black lines show the fits to the proton spin–lattice relaxation rates at the same frequency for LiCB11H12 and NaCB11H12 from ref 14 undergoing their order–disorder phase transitions near 384 and 376 K, respectively.

    Figure 3

    Figure 3. Neutron elastic-scattering FWSs for Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12) compared with those for the various single-anion component compounds, summed over detectors covering a Q range of 0.87–1.68 Å–1. Arrows differentiate heating and cooling scans. For a reasonable qualitative comparison, the individual data sets were scaled so as to have similar minimum and maximum intensities.

    Figure 4

    Figure 4. (a) Temperature dependences of the ionic conductivities (σ) for solution-dried, cold-pressed Li2(CB9H10)(CB11H12) and Na2(CB9H10)(CB11H12) using Li and Au electrodes, respectively, compared with those for the single-anion compounds (3, 4) and the closest-performing competitors, Li10GeP2S12 and Na3PSe4, (5, 6) and (b) ln(σT) vs T–1 and resulting fitted activation energies for the two mixed compounds. Closed and open symbols denote heating and cooling cycles, respectively.

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  • Supporting Information

    Supporting Information


    The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acsenergylett.6b00310.

    • Experimental details; DSC scans; complex impedance plots for solution-dried sample mixtures; and XRPD, FWS, and ionic conductivity data for analogous ball-milled sample mixtures (PDF)


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