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. Author manuscript; available in PMC: 2013 Oct 24.
Published in final edited form as: ACS Appl Mater Interfaces. 2012 Oct 9;4(10):5547–5554. doi: 10.1021/am301443g

Synthetic control of composition and crystallite size of silver hollandite, AgxMn8O16: impact on electrochemistry

Kenneth J Takeuchi a,*, Shali Z Yau b, Melissa C Menard c, Amy C Marschilok a,c,*, Esther S Takeuchi a,c,*
PMCID: PMC3509415  NIHMSID: NIHMS413990  PMID: 23046050

Abstract

Synthetic control of the silver content in silver hollandite, AgxMn8O16, where the silver content ranges from 1.0 ≤ × ≤ 1.8 is demonstrated. This level of compositional control was enabled by the development of a lower temperature reflux based synthesis compared to the more commonly reported hydrothermal approach. Notably, the synthetic variance of the silver content was accompanied by a concomitant variance in crystallite size as well as surface area and particle size. In order to verify the retention of the hollandite structure, the first Rietveld analysis of silver hollandite was conducted on samples of varying composition. The impacts of silver content, crystallite size, surface area, and particle size on electrochemical reversibility were examined under cyclic voltammetry and battery testing.

Keywords: silver hollandite, crystallite size control, reflux synthesis, compositional control, Rietveld analysis, electrochemistry, battery

INTRODUCTION

Hollandite (cryptomelane) structured minerals are an important geological structure type in the Earth’s lower crust and upper mantle.1, 2 Hollandite type materials consist of octahedral units of edge-sharing manganese oxide octahedra (MnO6) which interlink to form tunnels of 2 × 2 (0.46 nm) dimensions.3 The Mn cations within the structure possess mixed 3+ and 4+ oxidation states. Bimetallic materials have been prepared that contain cations that are 1+ or 2+ and partially occupy locations within the manganese oxide tunnels to stabilize charge.4, 5 Usually, cations of alkali metals and alkaline earth metals, such as K+, Rb+ and Ba2+ occupy the centers of the tunnels,6 but hollandite-type manganese oxides containing other interstitial metal ions such as Cr3+ have also been reported.7

Hollandites are an intriguing class of manganese oxides as the tunnel structure provides a robust framework for insertion and deinsertion of ions and small molecules, allowing them to function as sorbents and catalysts under a wide array of applications.813 Similarly, secondary batteries such as lithium-ion systems are dependent on facile Li+ movement in the electroactive cathode. Thus conceptually, hollandite structured materials would provide an appropriate framework for utilization as secondary (rechargeable) battery materials.14 Silver hollandite is particularly appealing in this regard, as the Ag+ center has the potential to be electrochemically active.

Despite the natural abundance of hollandite structured materials, the preparation of pure silver hollandite has remained elusive. The synthesis of silver hollandite was first described in 1984 via a high temperature, high pressure solid-state route.15, 16 The product was a mixture of Ag1.8Mn8O16, Mn2O3 and Ag2O. The next reported synthesis appeared in 2005, where silver hollandite was prepared by applying a post ion exchange treatment to cryptomelane (KMn8O16) in the presence of excess silver nitrate (AgNO3).10 While silver hollandite was generated at lower temperatures using this approach, potassium (K) residue was detected in the product, at significant (1.5 – 7.3 molar %) levels. Metallic silver (Ag0) was also detected by x-ray diffraction and transmission electron microscopy, which the authors attributed to decomposition of excess AgNO3 during the high-temperature calcination step. Even after refining the synthesis, the authors concluded that silver hollandite free of trace Ag metal impurity could not be prepared using an ion-exchange approach. An additional solid state synthesis was reported in 2008,17 where a low temperature solid state reaction of AgMnO4 and manganese(II) acetate tetrahydrate (Mn(C2H3O2)2·4H2O) produced silver hollandite. The silver hollandite made by this method was less crystalline than the potassium analog prepared using a comparable solid state approach.18 Calcination of the silver hollandite material at 300°C had little effect on the crystallinity, while calcination at 800°C resulted in formation of distinct Ag and Mn2O3 phases.17

Hydrothermal syntheses of silver hollandite were reported in 200719 and in 2011,20 utilizing silver permanganate (AgMnO4) and manganese nitrate (Mn(NO3)2) as reagents. Contrary to the ion exchange method discussed above, no diffraction peaks due to metallic Ag0 were detected for silver hollandite prepared using the hydrothermal method. A reflux based synthesis for preparation of silver hollandite was described in 2007,21 which incorporated a high temperature calcination step. While the major phase produced was silver hollandite, significant pyrolusite (β-MnO2) impurity was evident in the product.

We recently reported a novel reflux preparation and the first electrochemical assessment of silver hollandite.22 The information provided here illustrates our ability to tune the material properties of silver hollandite (AgxMn8O16) via modifications in the reflux synthesis conditions. To verify that our conditions generate structurally consistent silver hollandite, the first Rietveld analysis of silver hollandite is also reported herein. Notably, we emphasize in this report that hydrothermal reaction conditions, the typical synthetic conditions for the production of hollandite materials, do not allow for a complete variance in Ag to Mn ratios, while maintaining the hollandite structure.

With a change in Ag to Mn ratios, we also observe a concomitant variance in crystallite size and associated particle size and bulk surface area. This ability to synthetically control material properties enabled the systematic exploration of the fundamental properties of silver hollandite, which reveals a dependence of electrochemical reversibility on chemical or physical properties, likely crystallite size. In a more general sense, fundamental studies involving the impact of physical and chemical properties of materials on their electrochemical properties are critical in the rational development of materials which may address the present and future requirements for stationary and portable power.

EXPERIMENTAL

Silver hollandite was prepared using two different synthetic methods, hydrothermal and ambient pressure reflux reactions. Reagents used in the synthesis were silver permanganate (AgMnO4), nitric acid (HNO3), and manganese sulfate monohydrate (MnSO4·H2O) whose ratios were varied, as discussed below. The as prepared samples were washed with DI water and dried in vacuo.22

Characterization of silver hollandite samples was conducted utilizing several methods including inductively coupled plasma spectrometry-optical emission spectroscopy (ICP-OES), scanning electron microscopy (SEM), energy dispersive x-ray spectroscopy (EDS), transmission electron microscopy (TEM), simultaneous thermogravimetric analysis/differential scanning calorimetry (TGA/DSC), x-ray powder diffraction (XRD), surface area by gas adsorption (BET) and particle size by light scattering. MDI JADE version 8.5.3 software was used with ICDD and NIST databases for search-match analysis.

X-ray diffraction (XRD) data were collected at room temperature with a Rigaku Ultima-IV system (Cu Kα radiation) with Bragg-Brentano configuration. X-ray diffraction patterns of all samples were indexed to Ag1.8Mn8O16.23 Crystallite sizes of silver hollandite samples were estimated by applying the Scherrer equation24, 25 to the (211) peak of the XRD data, after correcting for instrumental broadening using a LaB6 standard.

Rietveld structure refinement of selected samples was performed using the software package GSAS and the EXPGUI interface.26, 27 The profile was fit using Thompson-Cox-Hastings pseudo-Voigt profile function and the background was fit using a shifted Chebyshev polynomial with 6 terms.28, 29 Atomic positions from single crystal refinement of the previously reported silver hollandite (Ag1.8Mn8O16) were used as starting positions.15, 16 The occupancy of Ag was initially set to values consistent with the Ag concentration determined from inductively coupled plasma-optical emission spectroscopy. The atomic displacement parameters were refined isotropically (Uiso) with the Uiso of the O atoms constrained to be equivalent. The anisotropic crystallite sizes, or average crystal dimensions, both along the length of the Mn-O tunnel and across the width of the Mn-O tunnel were calculated from the (2 1 1) and (1 3 0), respectively, using the Scherrer equation.30, 31

A Hitachi S-800 model was used for SEM and EDS data collection with secondary electron images acquired at 20 and 25 kV. Brunauer-Emmett-Teller surface area (BET) data was collected using N2(g) as adsorbent. Particle size data was collected using laser light scattering methodology. Transmission electron microscopy (TEM) was collected in a JEOL JEM 2010 with an accelerating voltage of 200 kV, and a point resolution of 0.19 nm.

For electrochemical testing, the electrolyte used was a mixture of propylene carbonate and dimethoxyethane containing 1 M lithium hexafluoroarsenate (LiAsF6). Cyclic voltammetry data were collected at room temperature utilizing a three electrode configuration with lithium reference and auxiliary electrodes. A scan rate of 1.00E-4 V/s was used with voltage limits of 3.7 V and 2.0 V. Three consecutive voltammetric scans were collected. Two electrode test cells were fabricated using lithium as the negative electrode and the Galvanostatic Intermittent Titration Type (GITT) tests were conducted at 30°C, where the AgxMn8O16 material was electrochemically reduced via intermittent application of a 0.0063 mA/cm2 load for two hours followed by a period of open circuit rest.

RESULTS AND DISCUSSION

Material synthesis

We have investigated the hydrothermal approach for the preparation of silver hollandite and note here the preparation of pure silver hollandite (AgxMn8O16) where the silver content ranges from 1.3 ≤ × ≤ 1.5. Attempts to prepare silver hollandite with lower silver content via hydrothermal methods resulted in pyrolusite (β-MnO2) as the predominant product (Figure 2). Pyrolusite (β-MnO2) is the most thermodynamically stable form of MnO2,1, 32 and has been observed previously as a byproduct in prior hydrothermal syntheses of silver hollandite.19 We recently introduced a novel reflux based method for the synthesis of pure silver hollandite, achieving a nano-crystalline material at low temperatures without calcination.22 The first systematic investigation of the reflux synthesis of silver hollandite is described here. Notably, via reflux we were able to form pure silver hollandite (AgxMn8O16) where the silver content (x) could be varied from 1.0 ≤ × ≤ 1.8 (Figures 3, 4). We postulate that the reflux method enables a broader compositional range because it makes formation of the thermodynamically favored β-MnO2 less likely than under higher temperature hydrothermal conditions.

Figure 2.

Figure 2

X-ray diffraction for samples prepared via hydrothermal reaction with x in AgxMn8O16 = (a) 1.50, (b) 1.48, (c) 1.33; and β-MnO2 with Ag/8Mn = (d) 0.49, (e) 0.02, and (f) 0.01.

Figure 3.

Figure 3

X-ray diffraction for samples prepared via reflux reaction with x in AgxMn8O16 = (a) 1.64, (b) 1.56, (c) 1.53, (d) 1.45, (e) 1.31, and (f) 1.13.

Figure 4.

Figure 4

X-ray diffraction for samples prepared via reflux reaction with x in AgxMn8O16 = 1.08 (grey) and 1.79 (black).

The stoichiometry of our material samples was determined by inductively coupled plasma-optical emission spectroscopy (ICP-OES). No residual K+ was detected by ICP-OES analysis for any of our synthetic products. Notably, we have established that the reflux approach shows clear advantages over the hydrothermal method in terms of synthetic versatility, where a broader compositional range of silver content (x) in the desired silver hollandite (AgxMn8O16) product could be achieved (Figure 5). Thus, reflux was selected as the preparation method of choice for the other material characterization, structure analysis, and electrochemical evaluation studies described here.

Figure 5.

Figure 5

Comparison of reflux and hydrothermal syntheses of silver hollandite (AgxMn8O16).

Material Characterization

A correlation was observed between the silver content (x) and the crystallite size of the silver hollandite (AgxMn8O16) material as determined by x-ray diffraction (XRD) (Figure 6). Lower silver content samples (Ag1.0Mn8O16) had crystallite sizes of ~10–11 nm while the samples with the higher silver content (Ag1.8Mn8O16) had crystallite sizes of ~20–25 nm. Samples with intermediate silver content showed intermediate crystallite size. This trend was observed for over 140 samples that were synthesized where the most significant increase in crystallite size was observed for samples where x > 1.5 in AgxMn8O16.

Figure 6.

Figure 6

Crystallite size of silver hollandite (AgxMn8O16) as a function of silver content (x).

Notably, the control of the silver content (x) in the silver hollandite (AgxMn8O16) material also led to modification of physical parameters as well. Surface areas were determined by gas adsorption using the BET method. There was a general trend of decreasing surface area with increasing silver content and crystallite size (Figure 7). For example, samples with silver content of x = 1.73 in AgxMn8O16 and a crystallite size of 26.1 nm showed surface areas of 22 m2/g, while the samples with silver content of x = 1.15 in AgxMn8O16 and a crystallite size of 10.5 nm showed a surface area of 125 m2/g. Particle sizes of the samples were measured using light scattering. Interestingly, a trend of increasing particle size with decreasing silver content and crystallite size was observed (Figure 8). Small crystallites have a greater surface area to volume ratio than large crystallites, and therefore possess less inherent stability than large sized crystallites. Thus, smaller crystallites would be expected to have a greater tendency to aggregate, and form precipitates of larger particle size when suspended in a liquid. This relationship of small crystallite size material yielding larger particle size has been previously observed with magnetite, Fe3O4.33 Thermogravimetric analysis was used to determine the water content of the silver hollandite samples. The water content per formula unit was determined by the mass loss up to 360°C, a temperature where water should fully desorb but no structural decomposition should occur, based on prior thermogravimetric analysis – mass spectrometry studies.19 The average water content per formula unit for 45 samples was 1.87 H2O with a standard deviation of 0.31. There was no trend noted with water content related to the silver content in the formula.

Figure 7.

Figure 7

Surface area of silver hollandite (AgxMn8O16) as a function of silver content (x).

Figure 8.

Figure 8

Particle size of silver hollandite (AgxMn8O16) as a function of silver content (x).

The crystallization mechanism of potassium cryptomelane (hollandite) has been studied by TEM, where longitudinal and lateral growth of the particles were proposed to proceed by different mechanisms.34 Temperature and pH were found to be controlling parameters in the prior work. To investigate the effect of silver composition, TEM images of silver hollandite samples with the compositions of Ag1.46Mn8O16 and Ag1.10Mn8O16 were recorded under magnifications of 10,000 X. Both material samples displayed high length to width aspect ratios with a highly acicular appearance. The resulting representative images illustrate a clear difference between typical samples with high and low silver content (Figure 9). The higher silver content Ag1.46Mn8O16 sample displayed long nanorods with some short nanorods present that ranged from 100 nm to 1 Rm long and about 20 nm wide. The lower silver content Ag1.10Mn8O16 sample features appeared more like fibers or whiskers due to their small diameter. This material also displayed long nanorods with a somewhat higher population of short nanorods that were 10 nm wide and 100 nm to 1 Rm long.

Figure 9.

Figure 9

Transmission electron microscope images of silver hollandite (AgxMn8O16), 10 kX magnification for x = A) 1.46, B) 1.10.

Overall, control of the silver content in the AgxMn8O16 (1.0 ≤ x ≤ 1.8) was accompanied by accompanying changes of crystallite size, surface area, particle size and the diameter of the acicular particles. Thus, control of both the material composition and physical properties was enabled by the reflux based synthetic approach.

Structure Analysis

In 1984, a single crystal structure of Ag1.8Mn8O16 was reported, where the material was prepared using a high temperature method.15,16 Silver hollandite can be described as a 1-D tunnel consisting of double chains of edge-sharing MnO6 octahedra. The cube-like cavities are created by face-sharing cubes of O2− atoms with Ag atoms occupying the shared faces of the O2− cubes. The occupancy of the Ag atoms at the shared faces of the cube-like cavities yields a peculiar square planar Ag+ environment with bond distances of approximately 2.7 Å which are a little larger than Ag+-O2− (2.35 Å).35

We report for the first time the Rietveld refinement of silver hollandite (Figure 10, Tables 13). The small crystallite size, low crystallinity, and anisotropic nature of the crystalline morphology in our Ag1.56Mn8O16 and Ag1.15Mn8O16 materials resulted in broad diffraction peaks with pronounced anisotropic strain perpendicular to the c-axis. Broadening of this nature in the powder X-ray diffraction peaks of nano-sized materials is not unexpected. These results are consistent with previous reports of Rietveld refinement of structurally similar, nanosized materials such as Fe7.6Ni0.4O6.35(OH)9.65Cl1.25,36 K2(M, Sn)8O16,37 LiFeO2,38 α-MnO2,39 and KMn8O16.40

Figure 10.

Figure 10

Rietveld refinement results for silver hollandite (AgxMn8O16) samples at 10 kX magnification with x = A) 1.56, B) 1.15.

Table 1.

Crystallographic data and Rietveld refinement results for silver hollandite (AgxMn8O16)

Chemical Formula Ag1.56Mn8O16 Ag1.15Mn8O16
Crystal system tetragonal tetragonal
Space Group I 4/m I 4/m
Z 1 1
a (Å) 9.756(10) 9.831(11)
c (Å) 2.858(6) 2.872(6)
V (Å3) 272.0(8) 277.6(8)
Rwp 0.2097 0.1821
Rp 0.1647 0.1439
χ2 1.688 1.878
S 1.30 1.39
2θ range (°) 10–100 10–100
2θ step width (°) 0.020 0.025
No. reflections 85 85
Water content (mol) 2.4 2.4
Crystallite size (211) (nm) 18.4(1) 11.7(1)
Crystallite size (130) (nm) 3(1) 3(1)

The R factors and S are defined in Ref.41

Table 3.

Selected interatomic distances (Å) in silver hollandite (AgxMn8O16)

Mn-O1(x1) Ag-O1(x4) Mn-O2(x2) Mn-O1(x2) Mn-O2(x1)
Ag1.56Mn8O16
1.901(4) 1.976(3) 1.879(3) 1.778(4) 2.555(5)

Ag1.15Mn8O16
1.975(4) 1.927(3) 1.968(3) 1.869(4) 2.431(5)

Since the previously reported single crystal data describes high silver content silver hollandite (Ag1.8Mn8O16),15, 16 we selected two lower silver content samples for Rietveld refinement (Ag1.56Mn8O16 and Ag1.15Mn8O16), in order to assess any structural differences in the lower silver content materials. The MnO6 octahedra are similar yet more distorted in our Ag1.56Mn8O16 and Ag1.15Mn8O16 materials compared with the previous report for Ag1.8Mn8O16 where the smaller bond distances and angles coincide with the shared-edge common to two octahedra on each side of the tunnel.23

Model calculations have shown that a hollandite crystal can contain a large variety of arrangements of octahedral cations in different unit cells and a corresponding range of tunnelcation positions.11 It has been noted that if different unit cells within the hollandite crystal contain a variety of arrangements of octahedral cations, a corresponding range of tunnelcation positions will arise, causing the positional disorder observed for the tunnelcation sites in X-ray structure refinements. Comparison of the XRD patterns of our Ag1.56Mn8O16 and Ag1.15Mn8O16 materials to the previously reported Ag1.8Mn8O16 material indicates a systematic broadening of some diffraction peaks in our materials. Interestingly, significant broadening is observed in crystallographic planes which bisect the tunnels and intersect silver atoms ((220), (130), (101), (440), and (600)), with significantly less broadening for diffraction peaks which do not intersect silver atoms ((211), (411), and (611)). Since the silver atoms are positioned in the tunnel locations, it is intuitive that the crystallographic planes which intersect silver atoms would exhibit greater broadening than the planes which do not intersect silver atoms. For example, the (130) plane is representative of all the planesthat cut through the length of the tunnel and intersect the row of central Ag atoms, and the (211)plane is representative of all the planes that cut through the width of the tunnel and do not intersect the row of central Ag atoms (Figure 11).

Figure 11.

Figure 11

(130) and (211) for silver hollandite (AgxMn8O16).

Electrochemical Evaluation

The electrochemical properties of silver hollandite had not been previously studied prior to our initial report evaluating possible application of silver hollandite as a battery cathode material.22 Our discharge/charge cycling tests showed a first cycle discharge capacity of 180 mAh/g, and encouraging preliminary cycling results, with reasonable capacity retention after an initial larger first cycle capacity loss. An additional electrochemical investigation of silver hollandite was described in 2011, where a first discharge capacity of 166 mAh/g, and a cycle 30 discharge capacity of 100 mAh/g were observed,20 all consistent with our prior report.

For this study, silver hollandite samples representative of low and high crystallite sizes and silver contents were selected, for the first evaluation of material effects on electrochemical properties of AgxMn8O16. As discussed above, modification of the silver content resulted in concomitant effects on the crystallite size, particle size, and surface area of the materials. The materials are discussed in the context of crystallite size in this section of the manuscript. However, it is noted that the other material properties may also have an important impact on the resulting electrochemistry.

Cyclic voltammetry data were collected for two samples of AgxMn8O16 where x = 1.55 and 1.23 with corresponding crystallite sizes of 25.6 and 12.1 nm, respectively (Figure 12). Three consecutive cycles of data were collected. For both the small crystallite size material and the large crystallite size material, one anodic peak and one cathodic peak were observed on each cycle. In both cases, the peak current for the cathodic peak in the first cycle was larger than the cathodic peak in the second cycle (Table 5). The peak currents for the cathodic and anodic peaks for the second scan and the third scan were more consistent indicating that Ag-hollandite material is able to successfully undergo multiple reduction-oxidation processes.

Figure 12.

Figure 12

Cyclic voltammetry for silver hollandite (AgxMn8O16), with x = A) 1.55 and B) 1.23 versus lithium.

Table 5.

Cathodic (Epc) and anodic (Epa) peak voltages by cycle number for silver hollandite (AgxMn8O16)

x Epc (V) Epa (V)
1 2 3 1 2 3
1.23 2.49 2.57 2.58 3.07 3.07 3.10
1.55 2.37 2.54 2.58 3.24 3.22 3.21

More detailed examination of the voltammograms for the materials of large and small crystallite size reveals notable differences. The smaller crystallite size Ag1.23Mn8O16 sample displayed more closely spaced anodic and cathodic peak voltages than the larger crystallite size Ag1.55Mn8O16 sample, illustrating a higher level of electrochemical reversibility for small crystallite size materials Additionally, the peak current per gram for the small crystallite size material was higher than that for the large crystallite size material (Figure 12) indicating an improved ability to deliver higher current for the smaller crystallite size material.

Silver hollandite samples of compositions Ag1.55Mn8O16 and Ag1.25Mn8O16 with crystallite sizes of 25.6 and 12.1 nm respectively were used to construct two electrode cells using lithium metal as the anode. The cells were tested in a Galvanostatic Intermittent Titration (GITT) type scheme. The cells assembled using the smaller crystallite sized Ag1.25Mn8O16 material consistently displayed loaded voltages several hundred millivolts higher than the cells with the larger crystallite Ag1.55Mn8O16 material (Figure 13). As a consequence, the cells with the smaller crystallite size material delivered 354 mAh/g to 2.0 V compared to the larger crystallite size sample that delivered 186 mAh/g. These results affirm the observation of improved electrochemical behavior from the voltammetry data that smaller crystallite size silver hollandite provides higher delivered ampere hours per gram. In this case, tuning the material during the synthesis process enabled the cells to deliver almost twice (1.9X) the ampere hours per gram.

Figure 13.

Figure 13

Galvanostatic Intermittent Titration (GITT) type test, initial discharge for lithium/silver hollandite (AgxMn8O16) electrochemical test cells, with x = A) 1.55 and B) 1.25.

SUMMARY

In summary, a lower temperature, scalable, reflux-based synthesis of pure silver hollandite has been successfully demonstrated, where the structure purity of the various silver hollandite products is verified via the first Rietveld analysis of silver hollandite. The silver content and related physical properties were tunable by varying the reactant Ag:Mn ratio where the Ag content (x) in silver hollandite (AgxMn8O16) could be varied from 1.0 ≤ × ≤ 1.8, with retention of overall structure.

The modification of the material by reducing crystallite size and increasing surface area showed profound effects on the resultant electrochemistry with increased reversibility for the low silver content, small crystallite size samples and an almost doubling of delivered ampere hours per gram. This work affirms our conceptual strategy that physical and chemical variations of materials can have profound impacts on electrochemical properties critical to the rational design of material chemistries appropriate for power storage systems.

Supplementary Material

1_si_001
2_si_002

Figure 1.

Figure 1

Silver hollandite structure, Ag1.56Mn8O16, depicted with Ag atoms as black spheres which occupy the center of the channels created by edge-sharing MnO6 octahedra.

Table 2.

Atomic positions in silver hollandite (AgxMn8O16)

Atom Site x y z a Uiso2) b Occ.
Ag1.56Mn8O16
Ag 2a 0 0 0 0.0273 0.78
Mn 8h 0.1493 0.3321 0.5 0.0068 1.0
O1 8h 0.1599 0.2075 0 0.0095 1.0
O2 8h 0.1311 0.4708 0 0.0094 1.0

Ag1.15Mn8O16
Ag 2a 0 0 0 0.0273 0.58
Mn 8h 0.1493 0.3321 0.5 0.0068 1.0
O1 8h 0.1517 0.1953 0 0.0095 1.0
O2 8h 0.1356 0.4620 0 0.0094 1.0
a

Uiso is the isotropic atomic displacement parameter when the Debye-Waller factor is represented as exp(−8π2Usin2 θ/λ2).

b

Occupancy

Acknowledgments

Funding Sources

New York State Energy Research and Development Authority, NYSERDA, agreement 18517.

This work was supported by the Department of Energy, Office of Basic Energy Sciences, under Grant DE-SC0002460. Galvanostatic intermittent titration-type (GITT) testing for possible use as a primary cell was supported by National Institutes of Health under Grant 1R01HL093044-01A1 from the National Heart, Lung, and Blood Institute. Rietveld analysis of the manganese compounds was funded by the New York State Energy Research and Development Authority. The authors thank Corey P. Schaffer for assistance with cyclic voltammetry measurements.

Footnotes

Author Contributions

The manuscript was written through contributions of all authors./All authors have given approval to the final version of the manuscript.

Supporting Information. Structural data used in the Rietveld analysis is available as a Crystallographic Information File (CIF) is available free of charge via the Internet at http://pubs.acs.org.

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