Encapsulating Mo-Doped TiO2 Anatase in N-Doped Amorphous Carbon With Excellent Lithium Storage Performances

To improve the capability, cycling stability and rate capacity of anatase TiO 2 -based electrode, Mo-doped TiO 2 anatase encapsulated in nitrogen-doped amorphous carbon (denoted for Mo-TiO 2 @NC) were synthesized using a facile hydrothermal method followed by a coating with polyaniline (PANI) and heating treatment. When tested as an anode for lithium ion batteries, the Mo-TiO 2 @NC electrode showed an initial discharge and charge capacity of 850.7 and 548.3 mAh g − 1 at a current density of 85 mA g − 1 , respectively, with a remarkable discharge capacity maintained at 449.2 mAh g − 1 after 100 cycles. Even at a high current density of 850 mA g − 1 , a reversible capacity of 154 mAh g − 1 after 200 cycles was obtained, displaying good rate capacity and long-term cycling stability. The outstanding electrochemical performance of Mo-TiO 2 @NC can be attributed to the synergistic effect of aliovalent ions doping and carbon coating.


INTRODUCTION
The development of high safety lithium-ion batteries (LIBs) with high powder density, a longer cycle life and at lower cost are necessary to meet the needs of future portable electronics and electric or hybrid electric vehicles (Chen et al., 2013;Reddy et al., 2013;Lü et al., 2016). Because of its low cost, non-toxicity, rich earth content, and negligible volume expansion (<4 % for anatase) during charging and discharging, titanium dioxide (TiO 2 ) has been considered as a potential anode material of LIBs (Jiang and Zhang, 2013;Wu et al., 2014). Accordingly, diverse crystals of TiO 2 , such as anatase, rutile, brookite and bronze, have been studied as anode materials for LIBs Yu et al., 2015;Guan et al., 2016), Because of its essential crystal, anatase TiO 2 is considered favorable for lithium ion intercalation/deintercalation, environmental friendliness, low cost and stability, and has been widely investigated as a promising anode material for LIBs (Hyder et al., 2013;Mo et al., 2014;Zhang et al., 2014a). Unfortunately, the lithium storage performance of anatase TiO 2 is not good enough for its practical application, which is mainly derived from a relatively low lithium ion diffusion coefficient and poor electronic conductivity (Wu et al., 2012;Myung et al., 2013).
To solve its intrinsic disadvantage, different strategies have been devoted to improve the lithium ion storage performance, such as compounding with conductive agents to enhance electronic conductivity (Gomes et al., 2013;Wang et al., 2016), reducing particle size to nano-scale to shorten the lithium ion diffusion distance (Hu et al., 2015), and manufacturing mesoporous or porous TiO 2 to increase the electrolyte/electrode contact area (Li et al., 2015. Furthermore, researchers found that the electrical property of TiO 2 is impressible to aliovalent ions doping in the lattice (Zhang et al., 2012;Zhao et al., 2015). Aliovalent ion doping in the structure of TiO 2 can slightly modify the electronic structure, which can improve the electronic conductivity and facilitate lithium ion diffusivity (Sheppard et al., 2008). When used as electrode materials for LIBs, this doping method not only favors the charge transfer but also creates a defect to provide more space for the storage of lithium ion and provides more channels for lithium ion diffusion (Wang et al., 2010b;Jiao et al., 2013). Wei and his coworkers prepared Nb doped brookite TiO 2 Nano sheets displayed reversible capacities of 119.7 mAh g −1 at 5 C after 100 cycles . Ji and his coworkers reported that Ti 3+ self-doped dark rutile TiO 2 ultrafine nanorods with durable high-rate capability for LIBs (Chen et al., 2015b). Wang's research group presented that niobium doped mesoporous anatase TiO 2 showed good electrochemical performance with a stable capacity of 160 mAh g −1 after 100 cycles (Wang et al., 2010b). Recently, Kim and his coworkers reported that Modoped TiNb 2 O 7 anode material showed excellent high C-rates electrochemical performance, which could be attributed to dope hetero-generous Mo atom increasing electronic conductivity and facilitating lithium ion diffusivity (Song and Kim, 2015). However, few papers reported the Mo-doped TiO 2 materials for application in LIBs. For example, Thi et al. and Zhang et al. showed that Mo-doped anatase TiO 2 exhibited significant capacity, excellent cycle performance and remarkable rate capability, compared with pristine anatase TiO 2 , owning to the increase of the electrical conductivity, the decrease of the crystal size and lattice distortion by Mo 6+ doping (Thi et al., 2014;Zhang et al., 2014b). Notwithstanding these advances, the rational design and facile synthesis of Mo-doped anatase TiO 2 -based nanostructures for highly reversible lithium storage still remain a significant challenge.
In this present study, to overcome inferior cycling stability and rate capability of anatase TiO 2 -based materials, we prepared Mo-doped TiO 2 anatase encapsulated in nitrogendoped amorphous carbon (Mo-TiO 2 @NC) as anode materials for high performance LIBs. This material was synthesized via a facile hydrothermal method followed by a coating with polyaniline (PANI) and calcination treatment. As expected, the Mo-TiO 2 nanoparticles were homogenously embedded in the nitrogen-doped amorphous carbon. As a result, the obtained Mo-TiO 2 @NC materials exhibit high reversible capacity and excellent rate capabilities.

Synthesis of Mo-Doped TiO 2
Mo-doped TiO 2 (the Mo/(Mo+Ti) ratio equals to 5 mol%) nanoparticles were synthesis using hydrothermal methods. Firstly, 30 mg of molybdenum powder were dissolved into 4 mL hydrogen peroxide and 24 mL of de-ionized (DI) water under continuous stirring until a clear and yellow solution was obtained, followed by adding 2 mL TBT. After 30 min, 0.5 mL of ammonia water was added and stirred for another 30 min. The reaction solution was then transferred to a Teflon-lined stainless steel autoclave (50 mL) and kept in an electric oven at 180 • C for 12 h. The autoclave was removed from the oven and cooled to room temperature naturally. The blue precipitate was washed with DI water and collected via centrifugation several times and then dried at 60 • C. As a comparison, the undoped TiO 2 sample was also similarly prepared without adding molybdenum powder.

Synthesis of Mo-TiO 2 @NC
The Mo-TiO 2 @PANI composite materials were prepared by the in situ oxidative polymerization of aniline monomers using ammonium persulfate as an oxidizer. In a typical process, 200 mg of Mo-TiO 2 were dispersed in DI water (150 mL) and ultrasonicated for 2 h. The hydrochloric acid was added to adjust pH and the concentration was 0.15 mol L −1 . Four hundred microliter of aniline was then added to the solution. The obtained suspension solution was stirred in an ice bath (0∼5 • C). After 30 min, APS with the molar ratio of 1:1.5 (APS: aniline) was added to the suspension and stirred for 8 h in the ice bath. Precipitations were washed several times with DI water and ethanol until a medium solution was obtained and then dried at 60 • C. The Mo-TiO 2 @PANI nanocomposites were then obtained.
To obtain the Mo-TiO 2 @NC, Mo-TiO 2 @ PANI nanocomposites were annealed in Ar gas at the temperature of 500 • C for 3 h with a heating rate of 2 • C min −1 . For comparison, Mo-TiO 2 and TiO 2 were also annealed under the same conditions.

Characterizations
The phase of the samples were characterized by X-ray diffraction (XRD) with PANalytical X'pert Power (Holland) using Cu Kα radiation (λ = 1.5418 Å). Rietveld refinements were performed using Topas-Academic software (Coelho, 2005). The morphologies of as-prepared samples were observed by a field-emission scanning electron microscope (FE-SEM, S4800, Hitachi, Japan), Transmission electron microscopies (TEM, JEM-2010HR, 200 kV) and high-resolution transmission electron microscopies (HRTEM). X-ray photoelectron spectroscopy (XPS) was recorded using a Perkin-Elmer ESCALAB 250Xi, and using C 1s (B. E. 284.8 eV) as a reference. Thermogravimetric analysis (TGA) was carried out by STA8000 analyzer (PerkinElmer, USA), heated from 30 to 850 • C in air at a rate of 5 • C/min. Raman spectra were tested on a DXR Raman microscope (Thermo Fisher Scientific DXR) with 633 nm Ar ion laser at 8 mW.

Electrochemical Measurements
The electrochemical properties of the samples were performed by using CR2032-type coin cells. The working electrodes consisted of 70 wt% Mo-TiO 2 @NC, 20 wt% carbon (Super-P-Li), and 10 wt% polyvinylidene fluoride (PVDF). The slurry was coated onto Cu foil and then dried under a vacuum at 100 • C for 12 h. The CR2032-type coin cells were assembled in an argon-filled glove box [Mikrouna (China) Co., Ltd.] with the moisture and oxygen concentrations below 0.1 ppm. The pure lithium foil was used as the counter and reference electrode. The electrolyte was 1 M LiPF 6 in a 50:50 v/v mixture of ethylene carbonate/dimethyl carbonate solution. A micro-porous membrane (Celgard 2400) was used as the separator. The galvanostatic charge-discharge performances were tested at different current densities in the voltage range of 0.01-3 V using a battery testing system (Shenzhen Neware, China). Cyclic voltammogram (CV) and electrochemical impedance spectroscopy (EIS) measurements were tested on an electrochemical workstation (CHI760E, Shanghai Chenhua). All of the tests were measured at room temperature.

RESULTS AND DISCUSSION
The synthesis process of Mo-TiO 2 @NC is straightforward, as described in Scheme 1. Firstly, Mo-TiO 2 nanoparticles were prepared via hydrothermal method in aqueous solution with TBT as a titanium source and metal molybdenum powder as a molybdenum source. The Mo-TiO 2 @PANI was then obtained by in situ oxidative polymerization; the Mo-TiO 2 @PANI samples SCHEME 1 | Schematic illustration of the formation of anatase Mo-TiO 2 @NC. To obtain better confirmation of the presence of PANI, Raman spectroscopic investigation was conducted. Figure S1 shows the Raman spectra of Mo-TiO 2 and Mo-TiO 2 @PANI. The Raman spectra show the meaningful structural changes that take place during the oxidative polymerization process from aniline to polyaniline. For Mo-TiO 2 @PANI samples, the Raman characteristic peaks at 1,171, 1,349, 1,449, and 1,586 cm −1 and can be assigned to the C-H bending vibration of the quinoid ring, C-N and C=N stretching of the bipolaronic structure, and C=C stretching vibration of the benzenoid plan ring, respectively (Wang et al., 2010a). After heating treatment in Ar atmosphere, Mo-TiO 2 nanoparticles encapsulated in nitrogendoped amorphous carbon were obtained by thermal-induced carbonization of PANI.
The phase of as-obtained samples was measured by Xray diffraction (XRD). The diffraction peaks showed a XRD pattern of TiO 2 , Mo-TiO 2 before annealing treatment, and Mo-TiO 2 @PANI could be well-indexed to anatase TiO 2 (PDF#01-084-1285) ( Figure S2). Diffraction peaks of MoO 3 or other Mocontaining samples were not detected in Mo-doped samples. The light blue Mo-TiO 2 was also different from white TiO 2 , indicating that a low molar ratio of Mo was doped into the TiO 2 crystal lattice. For Mo-TiO 2 @PANI, there was a broad and weak peak located at about 20 • , which indicated the formation of amorphous PANI. After heating treatment, TiO 2 kept its initial white color, while Mo-TiO 2 turned light gray from light blue, and Mo-TiO 2 @NC was black color because of existing carbon derived from PANI thermolysis. After heating treatment, the phase composition was also confirmed by XRD. The XRD patterns of TiO 2 , Mo-TiO 2 and Mo-TiO 2 @NC are shown in Figure 1. The diffraction peaks located at 25. 26, 36.92, 37.81, 47.96, 53.92, 55.01, 62.83, 68.88, 70.24, 75.04 • , corresponding with (101), (103), (004), (200), (105), (211), (204), (116), (220), (215) planes of anatase TiO 2 (PDF#01-084-1285, space group: I4 1 /amd), respectively. There was no diffraction peak from carbon or graphite, suggesting that amorphous carbon was generated by the thermal decomposition of PANI. Owning to the ionic radius of Mo 6+ ion (0.062 nm) is very similar to that of the Ti 4+ ion (0.0605 nm), the Mo 6+ ion could easily substitute the Ti 4+ ion in the lattice, which leads to lattice deformation (Štengl and Bakardjieva, 2010). The lattice constants were refined by the Rietveld method with Topas-Academic software. The XRD plots after refinement are in Figure S3. The lattice parameters a, c, and volume (V) are given in Table 1. The cell parameter a increased after Mo doping in the lattice as well as an increase in V, while the cell parameter c decreased slightly, demonstrating that the Mo elemental has been successfully doped into the lattice of anatase. This is in accordance with the results reported in the literature for Mo doped TiO 2 samples (Štengl and Bakardjieva, 2010;Zhang et al., 2014b). According to the experimental design, the content of Mo is 5 mol%, however, Rietveld refinements of such a low amount of doped element remain challenging. In order to confirm the carbon content of Mo-TiO 2 @NC, thermal gravimetric analysis (TGA) were operated in air with a heating rate of 5 • C min −1 (Figure S4). The residual products were anatase phase without other impurity after TGA ( Figure S5). The TiO 2 3.7872 (1) 9.5151 (3) 136.47 (1) Mo-TiO 2 3.7913 (1) 9.5023 (4) 136.58 (1) Mo-TiO 2 @NC 3.7934 (2) 9.5081 (5) 136.87 (1) weight loss of 2.19% to 800 • C of TiO 2 and Mo-TiO 2 can be attributed to the removal of absorbed water molecules. For Mo-TiO 2 @NC, the weight loss of 7.75% below 400 • C was attributed to the evaporation of absorbed water, and the sharp weight loss from 400 to 800 • C showed that the carbon layer in the Mo-TiO 2 @NC was oxidized completely. By calculating the TGA results, the carbon content of Mo-TiO 2 @NC was estimated to be 37.34 wt%. The morphologies of the TiO 2 , Mo-TiO 2 , and Mo-TiO 2 @NC were investigated by field emission scanning electron microscopy  (101) and (011), respectively. Compared with pristine TiO 2 samples (Figure 2d), the morphology of the Mo-TiO 2 samples changes from inhomogeneous rice-like to uniform rectangular shapes, which indicates that substitution of Ti 4+ by Mo 6+ in the anatase structure restrains the growth of TiO 2 nanoparticles. The selected-area electron diffraction (SAED) patterns (Figure 2i)   particular, as the energy edge of Au (Mα, 2.123 keV) is close to that of Mo (Lα, 2.293 keV), the EDS elemental mapping of Mo looks a bit bright. Such a shell-core nanostructure can observably improve the electrical conductivity and avoid the reunions of Mo-TiO 2 nanoparticles.
In order to further analyze the chemical environment and valence state of samples, we also performed X-ray photoelectron spectroscopy (XPS) analyses (Figure 3). Figure 3A shows the XPS survey spectra of TiO 2 , Mo-TiO 2, and Mo-TiO 2 @NC composites. No trace of Mo peaks can be detected in TiO 2 samples. Compared with pristine TiO 2 , typical Mo, Ti, O, C and N signals were all observed in the Mo-TiO 2 @NC sample, indicating that the Mo has been successfully innovated into TiO 2 and the N-doped carbon coating. Figure 3B shows the highresolution Ti 2p core-level XPS spectra and the states of the Ti in the samples were determined to be Ti 4+ . After doping with Mo, the Ti 2p peaks shifted to a lower binding energy, indicating that the atoms were reduced by the charge redistribution (Song and Kim, 2015). A high symmetric peak of Ti 2p means a complete oxidation of Ti (Luo et al., 2014). Figure 3C shows the highresolution Mo 3d core-level XPS spectra, the binding energies of 232.9 eV and 235.99 eV can be ascribed to the feature of Mo 6+ , while 232.09 eV and 235.1 eV consistent with the existence of Mo 5+ in the Mo-TiO 2 @NC composites (Luo et al., 2012). These results therefore show that the Mo was doped into the lattice of TiO 2 nanoparticle and represented in the state of Mo 6+ and Mo 5+ in the Mo-TiO 2 @NC samples, thereby when Mo 6+ and Mo 5+ replaced the Ti 4+ , the titanium vacancies formed in the TiO 2 lattice. Figure 3D shows the high-resolution O 1s corelevel spectrum of TiO 2 and Mo-TiO 2 @NC. For pure TiO 2 , the O 1s spectrum can be divided into two peaks, the main peak located at about 530.13 eV is attributed to the lattice oxygen in TiO 2 , and the small left shoulder peak at about 531.51 eV is contributed to adsorbed oxygen. For Mo-TiO 2 @NC, the O 1s XPS spectrum shows three peaks, the first peak located at 530.31 eV corresponds to the formation of Ti-O bond in the TiO 2 lattice, the second peak at about 531.04 eV consistent with adsorbed oxygen and the last peak at about 532.4 eV only appears in Mo-TiO 2 , which is attributed to adsorbed water and hydroxyl groups. The C 1s and N 1s XPS spectra of Mo-TiO 2 @NC are shown in Figures 3E,F, respectively. The XPS C 1s spectra can decompose to four peaks centered at 284.56, 285.50, 287.2, and 289.5 eV and can be attributed to sp 3 C-C, sp 3 C-N, sp 2 C-N, and C-O bonding, respectively, the results corresponding to the references (Lin et al., 2008). The XPS spectra of N 1s appear at two peaks located at about 398.6 and 400.28 eV and can be attributed to sp 3 C-N and sp 2 C-N bonding, respectively (Lin et al., 2008). The nitrogen doping into the carbon layer could be conducive to improve the electronic conductivity.

ELECTROCHEMICAL PERFORMANCES
The electrochemical properties of the samples after heating treatment were investigated as anode materials for LIBs in the voltage range of 0.01-3.0 V. In previous works of TiO 2 -based anode, the voltage window was frequently discharged to 1.0 V. In this work, a voltage window range of 0.01-3.0 V was chosen to consider the contribution of the nitrogen doping carbon layer and the conversion reaction of the Mo 6+ dopants with Li + . The electrochemical performances are shown in Figure 4. Figure 4A show the 1st−3rd cycle CV curves of Mo-TiO 2 @NC electrode in the voltage range from 0.01 to 3 V at a scan rate of 0.1 mV s −1 . In the first cycle, two reduction peaks can be observed around at 1.64 and 0.58 V. The former reduction peak can be attributed to the lithium insertion in the TiO 2 lattice without phase decomposition (Dong et al., 2016;Xie et al., 2017). The latter peak can be associated with the decomposition of electrolytes and the formation of a solid-electrolyte interphase (SEI) layer in the first cycle (Chen et al., 2011. From the second cycle, the peak at 0.58 V disappeared, which is consistent with the irreversible capacity loss of the anode (Dong et al., 2016;Chen et al., 2017;Xie et al., 2017). The oxidation peak at 2.07 V can be assigned to the lithium extraction from the TiO 2 lattice (Xu et al., 2007;Zhang et al., 2007;Chen et al., 2015a;Ge et al., 2016). A pair of redox peaks at 1.64 V and 2.1 V for the following two cycles are ascribed to the process of Li + insertion and extraction in the TiO 2 lattice [Equation (1)], (Dong et al., 2016;Xie et al., 2017) which is also observed to be highly reversible in subsequent cycles, certifying that a stable SEI layer is generated on the surface of the coated carbon layer. The electrochemical behavior is consistent with the reported anatase anode electrodes in the literature (Zhao and Shao, 2012;Shen et al., 2013). The CV curves of TiO 2 ( Figure S7a) and   (Figure S7b) are also consistent with the electrochemical behavior of anatase TiO 2 . It is interesting that Mo-TiO 2 @NC has the smallest voltage difference (0.43 V) between the cathodic and anodic peaks, compared to those of TiO 2 (0.54 V) and Mo-TiO 2 (0.59 V) in the first cycle CV, displaying the lowest polarization of the Mo-TiO 2 @NC electrode by hybridizing with Mo-doped and carbon coating.
Next, the cycle performances of TiO 2 , Mo-TiO 2 , Mo-TiO 2 @NC were investigated. Firstly, the capacity contribution of the carbon layer in the composite was evaluated, the cycle performances of the carbon layer were tested at the current density of 85 and 850 mA g −1 as shown in Figure S8. The capacity contribution of the carbon layer was ascribed to lithium ion insertion and extraction below 0.5 V. The discharge capacity of the carbon layer was about 195.5 mAh g −1 after 30 cycles at 85 mA g −1 (Figure S7a), indicating that the carbon layer has a rather high contribution to the total capacity at low current density. At high current density of 850 mA g −1 , the discharge capacity was about 26.4 mAh g −1 after 30 cycles (Figure S7b), showing that the contribution of the carbon layer was limited at high current density. Thus, considering the contribution of the carbon layer, the specific capacity was calculated by the total mass for Mo-TiO 2 @NC. Figure 4B shows the charge-discharge voltagecapacity curves of Mo-TiO 2 @NC electrode for the 1st, 2nd, and 3rd cycle at a current density of 85 mA g −1 . The two typical discharge plateaus (1.75 and 0.8 V) were apparent at the first cycle, which matches well with the results observed in the CV curves. The initial discharge and charge specific capacities are 860.7 and 548.3 mAh g −1 , respectively, with an initial coulombic efficiency of 63.7%. The low coulombic efficiency can be attributed to decomposition of electrolytes and the formation of a SEI layer Xie et al., 2017). The 1st, 2nd, and 3rd cycle charge-discharge voltage-capacity curves of TiO 2 and Mo-TiO 2 electrode at a current density of 85 mA g −1 are shown in Figure S7. As seen in Figures S7b,c, the obvious voltage plateaus are in agreement with the CV curves. The cycle performance of TiO 2 , Mo-TiO 2 , and Mo-TiO 2 @NC were performed at a current density of 85 mA g −1 (Figure 4C). For Mo-TiO 2 @NC, a reversible specific capacity up to 449.2 mAh g −1 can still be obtained after 100 cycles, which is higher than the specific capacity of Mo-TiO 2 (193.97 mAh g −1 ) and TiO 2 (142.08 mAh g −1 ), indicating that the Mo-TiO 2 @NC electrode possesses stable electrochemical reversibility. Besides this, from the corresponding coulombic efficiency curve of Mo-TiO 2 @NC shown in Figure 4C, the columbic efficiency quickly increases to 90.29% at the second cycle and approaches 99% after the third cycle, which reveals the excellent electrochemical reversibility of Mo-TiO 2 @NC. The rate capacities of the TiO 2 , Mo-TiO 2 , and Mo-TiO 2 @NC electrodes were tested by discharging/charging at various current densities from 34 to 1,700 mA g −1 (Figure 4D). The average discharge capacities of TiO 2 are 242. 93, 147.55, 117.76, 97.48, 64.59, 49.86, and 43.41 mAh g −1 at rates of 34, 85, 170, 340, 850, 1,360, and 1,700 mA g −1 , respectively. The average discharge capacities of 165.22,138.85,112.19,78.14,63.34 and 57.3 mAh g −1 at rates of 34, 85, 170, 340, 850, 1,360, and 1,700 mA g −1 , respectively. By contrast, the Mo-TiO 2 @NC electrode showed higher discharge capacities of 574. 07, 410.44, 335.74, 273.38, 173.41, 114.47, and 88.68 mAh g −1 at different current densities of 34, 85, 170, 340, 850, 1,360, and 1,700 mA g −1 , respectively. When the current density came back to 34 mA g −1 , the discharge capacity of Mo-TiO 2 @NC electrode still remained at 449.2 mAh g −1 . Compared with TiO 2 and Mo-TiO 2 electrode, the Mo-TiO 2 @NC electrode shows an obvious advantage with a higher discharge capacity and good cycling stability. And the cycle performance of TiO 2 , Mo-TiO 2 , and Mo-TiO 2 @NC were performed at a high current density of 850 mA g −1 (Figure 4E). After discharging/charging 200 cycles, the reversible specific capacities of TiO 2 , Mo-TiO 2 , and Mo-TiO 2 @NC are 52.89, 85.24, and 154 mAh g −1 , respectively. The Mo-TiO 2 @NC composites electrode holds the highest reversible   Table S1 shows that the Mo-TiO 2 @NC electrode obtains the highest value capacity at low current density, and even at higher current density it was comparable to most other TiO 2 -based electrode materials which charge/discharge at low current densities, revealing that the Mo-TiO 2 @NC holds potential application in high-energy lithium ion batteries.

capacity. The comparison summarized in
The oxidation/reduction or phase transformation process in the electrode reaction can be studied by CV curves, and then the D + Li in the TiO 2 particles can be estimated quantitatively (Rui et al., 2010). Figure 5A shows the CV curves at various sweep rates of 0.2, 0.4, 0.6, 0.8, and 1 mV s −1 , the area under the curves represents the capacity of electrode. With the increase of scan rates, the intensities and areas of redox peak increase. Furthermore, the value of the oxidation peak and reduction peak have shifted to higher and lower, respectively. It indicates that the irreversible behavior becomes more obvious with the increase of scan rates, especially scan rate at 1 mV s −1 . For semi-infinite and finite diffusion, the relationship of the peak current (i p ) and the CV scan rate (v) in the CV curves can be expressed as follow: (Das et al., 2005) i p = 2.69×10 5 n 3/2 AD 1/2 v 1/2 C o where n is the number of charge-transfer (for Li + it is 1), A is the contact area between electrode material and electrolyte solution (here the area of electrode is 1.13 cm 2 ), C o is the change of concentration of Li corresponding to the specific electrochemical reaction [2.34 × 10 −2 mol cm −3 for x = 0.5, calculated from the volume of TiO 2 (142.02 Å 3 )]. At slow scan rate (<1 mV s −1 ), an almost linear relationship between peak current (i p ) and squre root of the scan rate (v 1/2 ) as displayed in Figure 5B. Based on Equation (2) and slope of i p vs. v 1/2 , the diffusion coefficient can be calculated to be 2.15 × 10 −9 cm 2 s −1 (anode) and 2.33 × 10 −9 cm 2 s −1 (cathode). These values are slightly higher than those reported in the literature (Wagemaker et al., 2001;Shen et al., 2013Shen et al., , 2014. The lithium total storage mechanism mainly includes three parts: the faradaic contribution from the diffusion-controlled Li + insertion, the lithium storage mechanism from charge transfers with surface atoms (named as pseudocapacitance effect) and the non-faradaic contribution from double-layer effect (Augustyn et al., 2014;Chao et al., 2016). Furthermore, the capacitive and diffusion effect to the electrode total storage in active materials, described and analyzed by the cyclic voltammetry data at different scan rates, obey the following equation: (Yu et al., 2018) Both a and b are the adjustable parameters, the b value can be determined by plotting the slop of log (i) vs. log (v). There are two boundary conditions of the b-value: b = 0.5 and b = 1.0. For a b value of 0.5, indicating the current comes mainly from Li + intercalation process; while a b value between 0.5 and 1.0, implies that the charge storage is dominated by a mostly contributed by capacitive effect (Yu et al., 2018). Figure 6A shows the CV curves for Mo-TiO 2 @NC nanocomposites at different scan rates of 0.2, 1, 2, 5, and 10 mV s −1 in the voltage range from 0.01 to 3 V, the area under the CV curves represent the total charge storage adding from faradaic and non-faradaic processes. And the bvalue can be determined from the slope of the linear plot of logi vs. logv in Figure 6B, which indicates that the lithium storage is controlled by both diffusion and capacity effect processes, and mainly by the pseudocapacitance effect. Thereby, the current response at an any fixed potential can be described as the sum of the pseudocapacitance effect and diffusion-controlled behavior: To facilitate the analysis, the equation 4 can also be rewritten into the following format: where i(V) represent the total current response at any fixed potential V, k 1 v, and k 2 v 1/2 correspond to the current contribution from capacity effects and diffusion controlled intercalation process, respectively., It is key to determine k 1 (slope) and k 2 (intercept) through linear fitting of i(V)/v 1/2 vs. v 1/2 (see Figure 6C), therefore making it possible to estimate the contribution from Li + insertion and capacitivecontrolled process at a certain potential. Figures 6D,E show the voltage profile from the capacitive current (red region) in the Mo-TiO 2 @NC electrode at 0.2 and 5 mV s −1 , and the capacitive contribution was 25.56 and 58.73%, respectively. As the scan rate increases, the ratio of capacitive effect (k 1 v) contribution further increases ( Figure 6F). The pseudocapacitive contribution for Mo-TiO 2 @NC enlarged to 73.07% at 10 mV s −1 , indicating the highest capacitive contribution of the Mo-TiO 2 @NC electrode, which could improve its high rate reversible capacity.
To deeply understand the electrode kinetics, electrochemical impedance spectra (EIS) were performed in a frequency range from 10 5 to 0.1 Hz at room temperature. Figure 7 show the Nyquist plots of TiO 2 Mo-TiO 2 and Mo-TiO 2 @NC electrode. All Nyquist plots exhibit a semicircle in the medium-high frequency region and a sloped line in the low frequency region, which indicates that the electrochemical behavior is controlled by both charge transfer and lithium ion diffusion (Manjunatha et al., 2011;Hang et al., 2013). As shown in Figure 7, the diameter of the semicircle for Mo-TiO 2 is shorter than that of the pristine TiO 2 , indicating a smaller charge-transfer in the former. Owning to the partial substitution of Ti 4+ with Mo 6+ ions could create oxygen vacancies, titanium vacancies, or conduction band electrons to compensate for the imbalance in the charge by doping (Kroger and Vink, 1956), thus significantly heightening the electrical conductivity of the electrode, enhancing much easier charge transfer, therefore, reducing the overall internal resistance of the battery. Apparently, after coating with N-doped carbon layer, the Mo-TiO 2 @NC has the minimum diameter of the semicircle in the medium-high frequency region. This demonstrates that the Mo-TiO 2 @NC electrode has the lowest charge-transfer impedance, which could promote the Li + diffusion in the electrode during the lithium ion insertion/extraction process, consequently, improving the electrochemical performances.
Based on the above results, the total capacity of Mo-TiO 2 @NC comes from the lithium ion insertion/extraction of  and N-doped carbon layer, as well as the contribution of pseudocapacitance. The excellent electrochemical performance of the obtained Mo-TiO 2 @NC as an anode material for LIBs could be attributed to their unique structural features and several possible factors. First, Mo-doping can adjust the electronic structure of TiO 2 and increase the cell volume, thereby improving the electrical conductivity and accelerating lithium ion diffusion (Thi et al., 2014;Zhang et al., 2014b). Second, Mo-doping in the structure of TiO 2 can generate defects in the structure; these vacancies could act as new sites for lithium ion insertion (Liao et al., 2016). Also, the conversion reaction could occur between Mo with Li, thus increasing the theoretical capacity (Zhang et al., 2014b). Third, the structure of anatase TiO 2 is very stable during charge/discharge process, which could improve the cycle stability (Bauer et al., 2017). Finally, the nitrogen doped carbon layer has relatively high conductivity, which can not only enhance the conductivity and help to form a stable SEI layer during cycling, but also has great contribution to the capacity at low current density (Liu et al., 2017). It is worth noting that the Mo-TiO 2 @NC composed of small nanoparticles can short diffusion length in the solid phase for lithium ion and electrons, which further improves the lithium reaction rate (Jiang and Zhang, 2013). These distinct advantages significantly improve the longterm and high-rate performances of the Mo-TiO 2 @NC hybrid and make it a very promising anode material for LIBs.

CONCLUSIONS
In summary, Mo-doped anatase TiO 2 coating with nitrogendoped amorphous carbon layer were obtained using a facile hydrothermal and heat treatment. When used as an anode material, the reversible capacities, cycling performance, and rate capability are significantly improved by Mo doping and carbon coating. The Mo-TiO 2 @NC delivers a high reversible capacity of 449.2 at 85 mA g −1 after 100 cycles, which is much higher than that of TiO 2 and Mo-TiO 2 . Remarkably, a reversible capacity up to 154 mAh g −1 is obtained after 200 cycles at 850 mA g −1 . The present study show that aliovalent ions doped in the TiO 2 lattice combined with carbon coating is a synergistic effect for enhancing the performance of TiO 2 -based electrodes for lithiumion batteries.

AUTHOR CONTRIBUTIONS
YX and CR conducted the synthesis. YX and XY carried out the characterization and the electrochemical measurements. FL and XK co-wrote the manuscript. All authors discussed the data and commented on the manuscript.