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High-temperature Electrochemical Crystal Growth of Hollandite-Type CsTiO with Controlled Electronic Properties x
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Yusuke Chiba, Miwa Saito, Takeshi Hagiwara, Hiroshi Takatsu, Hiroshi Kageyama, and Teruki Motohashi Cryst. Growth Des., Just Accepted Manuscript • DOI: 10.1021/acs.cgd.7b00587 • Publication Date (Web): 10 Oct 2017 Downloaded from http://pubs.acs.org on October 16, 2017
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High-temperature Electrochemical Crystal Growth of Hollandite-Type CsxTi8O16 with Controlled Electronic Properties Yusuke Chiba,† Miwa Saito,† Takeshi Hagiwara,† Hiroshi Takatsu,‡ Hiroshi Kageyama,‡ and Teruki Motohashi⁎, † †
Department of Materials and Life Chemistry, Faculty of Engineering, Kanagawa
University, Yokohama, Kanagawa 221-8686, Japan ‡
Department of Energy and Hydrocarbon Chemistry, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8510, Japan
Abstract: Electrochemical crystal growth of hollandite-type CsxTi8O16 was examined employing high-temperature electrolysis of a molten mixture consisting of TiO2 and Cs2MoO4 with constant applied voltages. The resultant needle-like crystals showed obviously distinct appearances, either optical transparency or metallic luster, depending on the applied voltage. While the transparent crystals were electrical insulators, the metallic luster crystals were moderately conductive, with ρ − T curves being fitted with the one-dimensional (1D) VRH model, suggesting that the compound is a 1D metal involving carrier localization.
Key words: Mixed-valent compounds; Electrochemical crystal growth; Hollandite-type titanium oxides; Electronic properties; VRH model
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1. . INTRODUCTION Mixed-valent transition-metal compounds have attracted a great deal of attention because of their remarkable properties and functionalities. Such compounds have been studied extensively, including high-temperature superconducting copper oxides1 and colossal magnetoresistance (CMR) manganese oxides.2 A family of alkali-metal titanium oxides, the so-called titanium bronze, is another example displaying various interesting electronic and magnetic properties originated from mixed valent Ti3+/Ti4+. For instance, the spinel-type LiTi2O4 exhibits superconductivity with critical temperatures as high as Tc = 13.7 K.3 The rutile-type Na0.25TiO2 shows a magnetic transition at Tc = 430 K followed by a metal-insulator transition at Tp = 630 K.4 Furthermore, magnetization measurements of hollandite-type K1.46Ti8O16 revealed a small spontaneous magnetization at room temperature which suggests the appearance of weak ferromagnetism.5 These oxides generally show a great deal of alkali-metal nonstoichiometry, leading to diversity in electronic/magnetic properties as a function of the alkali-metal content. For instance, the Li1+xTi2−xO4 (x = 0−1/3) solid solution shows distinct electric behaviors at the terminal compositions: LiTi2O4 (x = 0) is a superconductor, while Li4Ti5O12 (x = 1/3) is an electrical insulator.3 The control of chemical composition is thus essential for exploring novel electronic and magnetic properties.
Titanium oxides with a hollandite-type structure are members of titanium bronze phases, with a general formula of AxTi8O16 (x ≤ 2) where A = alkali metals.6-10 The crystal structure consists of double-chains of edge-shared TiO6 octahedra that are connected by sharing the corners, forming one-dimensional (1D) tunnel structure along the c-axis, as illustrated in Figure 1. The A ions partially occupy the crystallographic sites inside the 1D tunnels, and the oxidation state of titanium varies with the A ion content (x). The unique crystal structure of hollandite-type titanium oxides gives rise to various ionic functionalities such as alkali ion conductors,6 electrode materials for lithium ion secondary batteries7,8 and solid matrices for immobilization of radioactive cesium.9 Taking into account possible nonstoichiometry, it is also of significance to study electronic properties of AxTi8O16 with varying alkali-metal contents (x).
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Mixed-valent binary titanium oxides are usually synthesized involving a reduction of TiO2 under H2- or CO-containing atmospheres,3-5,10 but they can also be obtained by means of high-temperature electrochemical reduction.9,12 Reid et al. reported crystal growth of hollandite-type CsxTi8O16 (originally represented as CsxTi4O8 with x ≤ 1) by constant-current electrolysis of a molten mixture of TiO2 and Cs2Ti2O5 at 925 °C.12 They showed that the grown crystals were bronze-colored prisms with an anisotropic semiconductive behavior. Later Abe et al. successfully obtained needle-like CsxTi8O16 crystals (x = 1.35) by constant-current electrolysis of a molten mixture of TiO2 and Cs2MoO4 at 900 °C.9 Alkali-metal molybdenum oxides, A2MoO4, were used as efficient flux materials also for electrochemical crystal growths of manganese oxide perovskites13,14 and Cr2O3.15 It should be noted that the electrochemically grown CsxTi8O16 crystals are favorable for transport measurements owing to their highly anisotropic morphology.
Although the earlier works only employed crystal growth of CsxTi8O16 with constant-current conditions,9,12 a constant-voltage mode may be more advantageous than the constant-current mode to precise control of the Cs content, because the former will lead to a more stable driving force of reduction. Nevertheless, such studies have never been reported. In the present work, electrochemical crystal growth of CsxTi8O16 with constant-voltage conditions has been examined. The resultant crystals showed obviously distinct appearances when varying the applied voltage, either optical transparency or metallic luster, suggesting different Cs contents for the two crystals. These results demonstrate that the constant-voltage electrolysis is highly effective to grow crystals with controlled chemical compositions. To our knowledge, there were no experimental reports on the growth of transparent crystals of hollandite-type titanium oxides, which could be noteworthy in the research field of optoelectronics.
2. EXPERIMENTAL SECTION Single crystalline samples of CsxTi8O16 were grown by high-temperature constant-voltage (i.e., potentiometric) electrolysis of the molten mixture of TiO2 and 3
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Cs2MoO4. The flux material, Cs2MoO4, was prepared by a conventional solid-state reaction technique. A powder mixture of Cs2CO3 (99.9%, Sigma-Aldrich) and MoO3 (99.98%, Kojundo Chemical Lab.) with the same molar ratio was calcined at 600 °C for 12 h in air. An alumina crucible (30 cm3 in volume) was used as the electrolysis cell and evenly filled with 4.0 g of the resultant Cs2MoO4 powder. Three Pt electrodes (0.5 mmφ) connected to external potentiostat (Hokuto Denko: HZ-5000) were introduced into the electrolysis cell in a box furnace. Then, the reference electrode (RE) was placed in the vicinity of the working electrode (WE). 0.1 g of anatase-type TiO2 (99%, Kojundo Chemical Lab.) was placed in the vicinity of the counter electrode (CE) to prevent unreacted TiO2 from being mixed into grown crystals. Cyclic voltammetry (CV) was performed to determine applied voltages for the subsequent constant-voltage electrolysis. Voltage scan range and scan rate were −2.0 V ≤ V ≤ 0 V and 5 mV s−1, respectively. Electrochemical reduction of TiO2 at 1050 °C for 5 h was carried out with different applied voltages. Based on the result of CV, applied voltage values were set at V = −0.6, −1.0, −1.4 and −1.8 V. At the end of each run, the Pt electrodes were pulled out from the furnace to be rapidly cooled to room temperature. Electrolysis for 5 h resulted in deposition of needle-like crystals on WE. The tip part of WE was immersed in deionized water for overnight to dissolve the Cs2MoO4 flux and thereby remove the crystals from WE.
The resultant crystals were observed by a digital microscope (Keyence: VHX-5000) and field-emission scanning electron microscope (FE-SEM; Hitachi: SU-8010). The chemical composition of the crystals was analyzed by means of energy dispersive X-ray spectroscopy (EDX; Horiba: EMAX-2770) using well-ground crystals. The Cs/Ti cationic ratios were determined for the crystals grown with V = −0.6 V and −1.0 V by inductively coupled plasma-mass spectroscopy (ICP-MS; PerkinElmer: ELAN DRC Ⅱ). The valence state of titanium was investigated by means of X-ray photoelectron spectroscopy (XPS; Ulvac-Phi: Model 5500; Mg Kα radiation). Phase identification of the grown crystals was conducted using a powder X-ray diffractometer (Rigaku: Ultima IV Protectus; Cu Kα radiation). The grown crystals were evenly spread on a
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“non-reflection” sample holder made of an obliquely-cut silicon crystal, and analyzed in a 2θ range of 10 – 90° with a step size of 0.02°. Single-crystal X-ray diffraction was carried out utilizing a four-circle diffractometer (Rigaku: Saturn70; Mo Kα radiation). A cylindrical crystal of approximate dimensions 0.03 × 0.03 × 0.13 mm3 was selected for data collection. The intensity data were collected by the ω scan method at 113 K (operating conditions: 50 kV, 60 mA). The crystal structure was solved by direct methods (SHELXS97) and refined by full-matrix least-square calculations on F2 using SHELXL97 program.16 All the atoms in the crystal lattice were refined anisotropically. Electrical resistivity (ρ) measurements were performed employing a four-probe technique (PPMS; Quantum Design) in a temperature range of 2 − 300 K.
3. RESULTS AND DISCUSSION Figure 2 shows a cyclic voltammogram of the molten mixture of TiO2 and Cs2MoO4 at 1050 °C. When the applied voltage reaches approximately V = −0.6 V in the forward sweep, a small current with negative sign arises, indicating that a reduction reaction of TiO2 takes place below −0.6 V. Then, the negative current starts to increase rapidly below −1.0 V and reaches −200 mA at −2.0 V (see the filled red circles in the figure). In the backward sweep, the negative current steadily decreases and converges to 0 mA when the applied negative voltage is decreased (see the open black circles). No oxidation peak is observed, presumably because of high electrochemical stability of the deposited crystals. The redox reactions at WE and CE can be described with the following formulae: WE: 8TiO2 + xCs+ + xe− → CsxTi8O16 2−
−
CE: x/2MoO4 → xe + x/2MoO3 + x/4O2 Therefore, the total reaction for the CsxTi8O16 formation is represented as:
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8TiO2 + x/2Cs2MoO4 → CsxTi8O16 + x/2MoO3 + x/4O2
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Electrochemical reduction reactions with constant-voltage conditions were conducted. Taking into account the result of CV, the applied voltages were set at onset (−0.6 V), moderate (−1.0 V), and high (−1.4 and −1.8 V) values. The shape of the resultant crystals is highly anisotropic, with the maximum length of ~ 2 mm (Figure 3). Noticeably, the appearance of the crystals depends on the applied voltage: the crystals are brownish with optical transparency for V = −0.6 V, while they show metallic luster for V = −1.0, −1.4 and −1.8 V. It should be noted that our attempts with the constant-current mode always resulted in the growth of metallic luster crystals (Figure S1 of the Supporting Information), and optically transparent crystals were never obtained, consistent with the previous reports.9,12
The distinct appearances are most likely originating from different electronic properties. In fact, electron irradiation during SEM observations led to a severe charging effect only for the crystals grown with V = −0.6 V, as shown in Figure S2. This feature implies that the transparent crystals are electrically insulating, and hence the Cs content (x) would be lower than that in the metallic luster crystals. The x values estimated from EDX data were 1.4 ± 0.2 for both of the transparent and metallic luster crystals (Figure S3): the Cs/Ti ratio seems to be similar and cannot be distinguished. The Cs/Ti ratios of the crystals grown with V = −0.6 V and −1.0 V were also analyzed by ICP-MS, see Supporting Information for experimental details. The x values are 1.3 – 1.4 for both of the V = −0.6 V and −1.0 V crystals: again, the Cs content cannot be distinguished within the accuracy of our chemical analyses.
The fact that the Cs/Ti ratios are close to each other between the optically transparent and metallic luster crystals is worthy of attention. This feature is not surprising, as it is widely known that electronic properties of strongly-correlated electron systems are often very sensitive to the carrier concentration. To investigate the valence state of titanium in the grown crystals, XPS measurements were performed. Experimental details are given in the Supporting Information. Ti 2p core-level spectra of the CsxTi8O16
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crystals evidenced a negative chemical shift with respect to the TiO2 reference (Figure S4). In addition, spectral deconvolution analysis indicated that each of the Ti 2p3/2 and 2p1/2 peaks can be fitted with two peaks, and the component at lower binding energies (EB) gets enhanced as the negative voltage during the electrolysis is increased. Although the negative chemical shifts as well as the low-EB component is consistent with the existence of reduced Ti species,17 we note that this XPS result is preliminary, and further studies will be necessary to quantitatively discuss the valence state of titanium in our CsxTi8O16 crystals. X-ray powder diffraction (pXRD) patterns for the as-grown crystals are presented in Figure 4. While all the patterns exhibit common features typically seen for hollandite-type oxides, diffraction peaks with hk0 are only seen, reflecting highly anisotropic morphology with the longitudinal direction along the c-axis. These peaks are readily indexed based on a tetragonal unit cell, resulting in lattice parameters close to the literature values (a = 10.2866 Å and c = 2.9669 Å9). Systematic changes in the lattice parameters expected for the sample series are not observed, probably because of poor accuracy of the diffraction data caused by misalignment of crystals mounted on the sample holder. For our CsxTi8O16 crystals, powder patterns were hardly obtained because the crystals were subject to mechanically fragility and easily amorphized when ground intensely.
Some peaks are still unknown (marked with inverted triangles), assignable to neither the hollandite-related structures nor the starting materials. Carter and Withers reported the appearance of extra reflections originating from an incommensurate sublattice in barium titanium oxide hollandites BaxMyTi8−yO16 (M = Mg, Mn, Fe, Co, Ni, and Zn).18,19 While the possibility that the extra reflections come from the Cs sublattice cannot be ruled out, we tentatively conclude that this possibility is rather unlikely. The reasons are in the following. (1) There are no satellite reflections in the single-crystalline XRD pattern for the V = −1.0 V crystal. (2) Our CsxTi8O16 crystals were relatively fast-cooled to room temperature at the last process of the crystal growth. It has been recognized that the long-range order of the tunnel-site ions is smeared or disrupted in rapidly-cooled
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samples, resulting in satellite reflections becoming weaker and broader.19 Structural refinements for the grown crystals were attempted by means of single crystal XRD. The crystallographic data, refinement details and atomic coordinates for the metallic luster crystal grown with V = −1.0 V are listed in Table 1, 2 and 3. Meanwhile, refinements of the transparent crystals (V = −0.6 V) were unsuccessful, due to the inferior quality of the grown crystals (it should be noted that the analysis is severely hindered even with tiny crystalline defects). The diffraction pattern for the V = −1.0 V crystal is indexed based on a tetragonal unit cell with I4/m space group, and the lattice parameters are determined to be a = 10.2323(14) Å and c = 2.9514(6) Å. These values are somewhat smaller than those of polycrystalline Cs1.36(3)Ti8O16 refined with neutron diffraction data at 100 K:21 a = 10.2705(2) Å and c = 2.96469(5) Å.
The crystal structure was refined assuming a split-site model, because a preliminary analysis locating Cs atoms only on the symmetrical 2a position at (1, 0, 0) led to large residual electron density around this site. This can be interpreted as the presence of static displacement of Cs atoms, and it may be reasonable to refine the data setting a less-symmetrical site (assigned as “4e”) at (1, 0, z) in addition to the 2a site. The refinement with this split-site model indeed improved the goodness-of-fit factor. The occupancy factors (g) of Cs atoms were converged to 0.11 and 0.25 for the Cs1 (2a)and Cs2 (4e)-sites, respectively. From the refined occupancy factors of the constituent elements, the chemical composition can be written as Cs1.22Ti8O16. This implies that Cs atoms are present at a 30% probability within the 1D cavity randomly occupying either symmetrical or less-symmetrical site. As shown in Table 3, the atomic displacement parameters for the Cs sites are highly anisotropic along the c-axis, that is, larger value for U33 than U11 and U22. Similar features were reported for other hollandite-type oxides, including K2Ru8O16 (ref. 22), K2V8O16 (ref. 23), K2Ir8O16 (ref. 24) and Cs1.1Ti8O16 (ref. 25), in which unusual A-site occupancies23 or competitions between atomic size and bond valence were taken into account.24 In Figure 5, electrical resistivity (ρ) along the c-axis is plotted as a function of temperature for the crystals grown with V = −1.0 V and −1.8 V. The resistivity data for 8
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the V = −0.6 V and −1.4 V crystals were less reliable and hence excluded from the figure, because of quite low bulk conductivity for the former, and non-ohmic contacts of gold electrodes attached on a too small crystal for the latter. As the temperature is lowered, the resistivity values for the V = −1.0 V and −1.8 V crystals are enhanced and eventually unable to be measured at approximately 100 K and 75 K, respectively. Both the crystals show a semiconducting behavior with relatively small resistivity values of 10−2 − 10−3 Ω m at room temperature. The magnitude of resistivity is lower for the V = −1.8 V crystal than the V = −1.0 V crystal, strongly suggesting that the former is more electron-doped than the latter.
The ρ − T curves do not follow the Arrhenius law, but they are nicely fitted with the variable range hopping (VRH) model. The VRH model describes electrical conduction mechanisms where the periodicity of the crystal lattice is disturbed by randomness and/or defects, and electron conduction takes place via tunneling effects, which leads to the following equation:26,27
ρ ∝ exp [(T0 / T)1 / (n + 1)]
(4)
where T0 and n denote a characteristic temperature and the dimensionality, respectively. Least-square calculations of the ρ − T curves were carried out for n = 1, 2 and 3, and the calculation with n = 1 gave the best fit for the both crystals (Figure 6). This result indicates that the crystals are likely to be so-called “disordered metals” containing 1D-tunnel structures occupied by Cs atoms. Moetakef et al. recently reported crystal growth and density functional theory (DFT) study of a related hollandite, KxTi8O16 (x = 1.4).10,28 Their calculations indicated that a finite density of states (DOS) exists at the Fermi level, consistent with the metallic character of the V = −1.0 V and −1.8 V crystals. The random Cs distribution as revealed by our structural analysis is the possible source of the disturbed periodic potential. The T0 values are 13.4 K and 11.6 K for the V = −1.0 V and −1.8 V crystals, respectively. Since the T0 value is related to a degree of localization, the smaller T0 value for the crystal with V = −1.8 V is consistent with the fact that the crystals grown with larger negative voltages tend to be more carrier-doped
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because of stronger reductive conditions.
Finally, we comment on the optical property of hollandite-type CsxTi8O16 and its possible applications to optoelectronics. A recent theoretical work by Buckeridge et al. revealed that the band structures of TiO2 can be tuned largely by varying the local coordination environments of Ti and O.29 Among eight known polymorphs, hollandite TiO2 may be noteworthy because the hollandite has the largest work function together with the largest band gap. Such a characteristic feature makes this polymorph a potential transparent conducting oxide (TCO) used for photovoltaic devices as well as short-wavelength light emitting diodes.29 Our transparent crystals are too resistive at this moment, but optimally-doped CsxTi8O16 crystals may be noteworthy as promising TCOs, if further electron doping is possible while retaining their transparency.
4. CONCLUSION The present work demonstrated the electrochemical crystal growth of hollandite-type CsxTi8O16 employing high-temperature electrolysis of a molten mixture of TiO2 and Cs2MoO4 with constant-voltage conditions. Needle-like single crystals were successfully grown with different applied voltages of V = −0.6, −1.0, −1.4 and −1.8 V. Importantly, the resultant crystals showed obviously distinct appearances and electronic properties: while the crystals grown with V = −0.6 V were electrically insulating with optical transparency, the crystals with V = −1.0, −1.4 and −1.8 V were moderately conductive with metallic luster. To our knowledge, there were no experimental reports on the growth of transparent crystals of hollandite-type titanium oxides, which could be noteworthy in the research field of optoelectronics.
We emphasize that our crystals grown with constant-voltage conditions are chemically well-controlled and sufficiently large in size for physical property measurements. This technique may be applicable to crystal growths of various transition metal oxide systems, and the resultant crystals are valuable for systematic studies on their optical/electronic properties in relationship to the chemical composition.
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ASSOCIATED CONTENT Supporting Information (1)
Optical microscopic
image
of the
as-grown
crystals
obtained
with
constant-current crystal growth, (2) SEM and EDX mapping images of the crystals grown with V = −0.6 V and −1.0 V, (3) XPS spectra of the crystals grown with V = −0.6, −1.0, and −1.8 V, (4) the result of ICP-MS analysis of the crystals grown with V = −0.6 V and −1.0 V, and (5) the structural data of Cs1.22Ti8O16 (in CIF format). This material is available free of charge via the Internet at http://pubs.acs.org.
AUTHOR INFORMATION Corresponding Author ∗Address: Department of Materials and Life Chemistry, Kanagawa University, 3-27-1 Rokkakubashi, Kanagawa-ku, Yokohama 221-8686, Japan. E-mail:
[email protected]. Notes The authors declare no competing financial interest.
ACKNOWLEDGMENTS The authors thank Dr. Keiko Orisaku of Kanagawa University for her valuable comments on the single-crystal XRD analysis. Also, Dr. Yoji Kobayashi of Kyoto University is acknowledged for his help in the XPS experiment. This work was supported by JSPS Grant-in-Aid for Scientific Research on Innovative Areas “Mixed anion” (Grant Number 17H05490).
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(4) Sakurai, H.; Kato, M.; Yoshimura, K.; Tsujii, N.; Kosuge, K. Phys. Rev. B 2007, 75, 115128-1−115128-5. (5) Muraoka, Y.; Noami, K.; Wakita, T.; Hirai, M.; Yokoya, T.; Kayo, Y.; Muro, T.; Tamenori, Y. Phys. Status Solidi C 2011, 8, 555−557. (6) Yoshikado, S.; Taniguchi, I.; Watanabe, M.; Onoda, Y.; Fujiki, Y. Solid State Ionics 1995, 79, 34−39. (7) Sakao, M.; Kijima, N.; Akimoto, J.; Okutani, T. Solid State Ionics 2013, 243, 22−29. (8) Kijima, N.; Sakao, M.; Tanuma, Y.; Kataoka, K.; Igarashi, K.; Akimoto, J. Solid State Ionics 2014, 262, 14−17. (9) Abe, H.; Satoh, A.; Nishida, K.; Abe, E.; Naka, T.; Imai, M.; Kitazawa, H. J. Solid State Chem. 2006, 179, 1521−1524. (10) Moetakef, P.; Larson, A. M.; Hodges, B. C.; Zavalij, P.; Gaskell, K. J.; Piccoli, P. M.; Rodriguez, E. E. J. Solid State Chem. 2014, 220, 45−53. (11) Momma, K.; Izumi, F. J. Appl. Cryst. 2011, 44, 1272−1276. (12) Reid, A. F.; Watts, J. A. J. Solid State Chem. 1970, 1, 310−318. (13) McCarroll, W. H.; Ramanujachary, K. V.; Greenblatt, M. J. Solid State Chem. 1997, 130, 327−329. (14) McCarroll, W. H.; Ramanujachary, K. V.; Fawcett, I. D.; Greenblatt, M. J. Solid State Chem. 1999, 145, 88−96. (15) Abe, H.; Nishida, K.; Imai, M.; Kitazawa, H. J. Cryst. Growth 2004, 267, 42−46. (16) Sheldrick, G. M. Acta Cryst. A 2008, 64, 112−122. (17) González-Elipe, A. R.; Munuera, G.; Espinos, J. P. Surface Sci. 1989, 220, 368-380. (18) Carter, M. L.; Withers, R. L. Z. Kristallogr. 2004, 219, 763−767. (19) Carter, M. L.; Withers, R. L. J. Solid State Chem. 2005, 178, 1903−1914. (20) Brese, N. E.; O’Keeffe, M. Acta Cryst. B 1991, 47, 192−197. (21) Cheary, R. W. Acta Cryst. B 1991, 47, 325−333. (22) Djafri, F.; Canonne, J.; Abraham, F.; Thomas, D. J. Less-Common Met. 1985, 109, 323−329. (23) Abriel, W.; Rau, F.; Range, K. J. Mat. Res. Bull. 1979, 14, 1463−1468. (24) Talanov, A.; Phelan, W. A.; Kelly, Z. A.; Siegler, M. A.; McQueen, T. M. Inorg. Chem. 2014, 53, 4500−4507. (25) Fanchon, E.; Hodeau, J. L.; Vicat, J.; Watts, J. A. J. Solid State Chem. 1991, 92, 88−100. (26) Shante, V. K. S.; Varma, C. M. Phys. Rev. B 2007, 8, 4885−4889. (27) Corraze, B.; Ribault, M. Phys. Lett. A 1993, 173, 479−483. 12
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(28) Moetakef, P.; Wang, L.; Maughan, A. E.; Gaskell, K. J.; Larson, A. M.; Hodges, B. C.; Rodriguez, E. E. J. Mater. Chem. A 2015, 3, 20330−20337. (29) Buckeridge, J.; Butler, K. T.; Catlow, C. R. A.; Logsdail, A. J.; Scanlon, D. O.; Shevlin, S. A.; Woodley, S. M.; Sokol, A. A.; Walsh, A. Chem. Mater. 2015, 27, 3844−3851.
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Crystal Growth & Design
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Table 1. Crystallographic data and refinement details for Cs1.22Ti8O16. Crystallographic data: Formula Formula weight Crystal system Space group a/Å c/Å V / Å3 Z Dcalc / g cm−3 dTi−O1 / Å
Cs1.22Ti8O16 801.35 tetragonal I4/m 10.2323(14) 2.9514(6) 309.01(9) 1 4.306 (2×) 1.947(3) 2.017(5) (2×) 1.974(3) 1.938(5) +3.998
dTi−O2 / Å a
BVS for Ti
Data collection: Temperature / K Crystal dimensions / mm3 Absorption coefficient (µ) / mm−1 Scan mode Maximum 2θ / deg. Index ranges No. of measured reflections No. of independent reflections No. of observed reflections with I > 2σ (I) Rint Refinement: Calculated weights Final R indices [I > 2σ (I)] R indices (all data) Goodness-of-fit (GOF) No. of refined parameters Largest difference peak and hole / e Å−3 a
113 0.03 × 0.03 × 0.13 8.529
ω 60.8 −12 ≤ h ≤ 14, −14 ≤ k ≤ 14, −4 ≤ l ≤ 3 1293 256 207 0.1043 w = 1/[σ 2(Fo2) + (0.0469P)2] where P = (Fo2 + 2Fc2)/3 R1 = 0.0499, wR2 = 0.1024 R1 = 0.0641, wR2 = 0.1120 1.091 24 1.26, −1.26
The BVS parameters used as follows: Ti4+−O2− (l0 = 1.815)20
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Crystal Growth & Design
Table 2. Atomic coordinates, equivalent isotropic displacement parameters and occupancy factors for Cs1.22Ti8O16. atom
site
g
x
y
z
Ueq / Å2 b
Cs1
2a
0.11
1.0000
0
0
0.01(4)
Cs2
4e
0.25
1.0000
0
−0.10(2)
0.008(5)
Ti
8h
1.0
1.33382(12)
0.15034(12)
0
0.0075(4)
O1
8h
1.0
1.2099(4)
0.1574(4)
−0.5000
0.0034(9)
O2
8h
1.0
1.3337(4)
−0.0391(4)
0
0.0046(10)
b
Ueq is defined as one-third of the trace of the orthogonalized Uij tensor.
Table 3. Atomic anisotropic displacement parameters for Cs1.22Ti8O16. atom
U11
U22
U33
U12
U13
U23
Cs1
0.008(10)
0.008(10)
0.01(11)
0
0
0
Cs2
0.005(2)
0.005(2)
0.014(18)
0
0
0
Ti
0.0080(7)
0.0068(7)
0.0077(8)
0.0014(4)
0
0
O1
0.005(2)
0.003(2)
0.003(2)
0.0011(16)
0
0
O2
0.003(2)
0.006(2)
0.004(2) −0.0009(16)
0
0
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Crystal Growth & Design
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Figure Captions Figure 1. Schematic illustration of the crystal structure of hollandite-type CsxTi8O16 viewed from the c-axis direction. The illustration was drawn with VESTA software11 based on the structural model in ref. 9. Figure 2. Cyclic voltammogram (sweep rates: ±5 mV s-1) of the molten mixture of TiO2 and Cs2MoO4 at 1050 °C. Figure 3. Optical microscopic images of the resultant crystals grown with different applied voltages V = −0.6, −1.0, −1.4 and −1.8 V. Figure 4. X-ray powder diffraction patterns for the crystals grown with V = −0.6, −1.0, −1.4 and −1.8 V. Unknown phase are marked with inverted triangles. Figure 5. Temperature dependence of electrical resistivity (ρ) for the crystals grown with V = −1.0 V (black) and −1.8 V (red). Figure 6. ln ρ vs T−1/2 plots on the basis of the variable range hopping (VRH) model for the crystals grown with V = −1.0 V (black) and −1.8 V (red).
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Figure 1. Schematic illustration of the crystal structure of hollandite-type CsxTi8O16 viewed from the c-axis direction. The illustration was drawn with VESTA software11 based on the structural model in ref. 9.
50 0 -50 Current / mA
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Crystal Growth & Design
-100
cathodic anodic
-150 -200 -250 -2.0
-1.5
-1.0 Voltage / V
-0.5
0
Figure 2. Cyclic voltammogram (sweep rates: ±5 mV s-1) of the molten mixture of TiO2 and Cs2MoO4 at 1050 °C.
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Crystal Growth & Design
Figure 3. Optical microscopic images of the resultant crystals grown with different
a = 10.268 Å
150
600
620
400
620 600
400
a = 10.247 Å
310
200
20
400
a = 10.239 Å 310
200
V = –1.0 V
V = –0.6 V
10
a = 10.258 Å 310
200
V = –1.4 V
600
400
200
V = –1.8 V
600
applied voltages V = −0.6, −1.0, −1.4 and −1.8 V.
Intensity / a.u.
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30 40 2θ (Cu Kα) / deg.
50
60
Figure 4. X-ray powder diffraction patterns for the crystals grown with V = −0.6, −1.0, −1.4 and −1.8 V. Unknown phase are marked with inverted triangles.
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102 101
V = –1.0 V V = –1.8 V
ρ/Ωm
100 10-1 10-2 10-3 10-4 50
100
150
200
250
300
T/K
Figure 5. Temperature dependence of electrical resistivity (ρ) for the crystals grown with V = −1.0 V (black) and −1.8 V (red).
2
0
ln ρ / Ω m
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Crystal Growth & Design
-2
-4 V = –1.0 V V = –1.8 V
-6
-8 0.04
0.06
0.08 T
–1/2
0.10
0.12
0.14
/ K –1/2
Figure 6. ln ρ vs T−1/2 plots on the basis of the variable range hopping (VRH) model for the crystals grown with V = −1.0 V (black) and −1.8 V (red).
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Crystal Growth & Design
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For Table of Contents Use Only
High-temperature
Electrochemical
Crystal
Growth
of
Hollandite-Type
CsxTi8O16 with Controlled Electronic Properties
Yusuke Chiba, Miwa Saito, Takeshi Hagiwara, Hiroshi Takatsu, Hiroshi Kageyama, and Teruki Motohashi
TOC graphic
Synopsis Crystal growth of hollandite-type CsxTi8O16 with controlled electronic properties was achieved employing high-temperature electrolysis of a molten mixture consisting of TiO2 and Cs2MoO4 with constant applied voltages. The resultant needle-like crystals showed obviously distinct appearances, either optical transparency or metallic luster, depending on the applied voltages.
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