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International Journal of Photoenergy

Volume 2012 (2012), Article ID 453018, 9 pages

http://dx.doi.org/10.1155/2012/453018

## Photocatalytical Properties and Theoretical Analysis of N, Cd-Codoped TiO_{2} Synthesized by Thermal Decomposition Method

^{1}State Key Laboratory of Crystal Materials, Shandong University, Jinan 250100, China^{2}Department of Chemistry and Chemical Engineering, Jining University, Qufu 273155, China^{3}College of Chemistry and Molecular Engineering, Qingdao University of Science and Technology, Qingdao 266042, China

Received 19 June 2011; Revised 1 August 2011; Accepted 2 August 2011

Academic Editor: Jinlong Zhang

Copyright © 2012 Hongtao Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

N, Cd-codoped TiO_{2} have been synthesized by thermal decomposition method. The products were characterized by X-ray diffraction (XRD), scanning electron microscope (SEM), UV-visible diffuse reflectance spectra (DRS), X-ray photoelectron spectroscopy (XPS), and Brunauer-Emmett-Teller (BET) specific surface area analysis, respectively. The products represented good performance in photocatalytic degradation of methyl orange. The effect of the incorporation of N and Cd on electronic structure and optical properties of TiO_{2} was studied by first-principle calculations on the basis of density functional theory (DFT). The impurity states, introduced by N 2p or Cd 5d, lied between the valence band and the conduction band. Due to dopants, the band gap of N, Cd-codoped TiO_{2} became narrow. The electronic transition from the valence band to conduction band became easy, which could account for the observed photocatalytic performance of N, Cd-codoped TiO_{2}. The theoretical analysis might provide a probable reference for the experimentally element-doped TiO_{2} synthesis.

#### 1. Introduction

Due to its ability to decompose harmful organic pollutants completely [1, 2], nano-TiO_{2} has attracted much interest in the last few decades as an environmental purification photocatalyst. However, the band gap of the TiO_{2} is in the range of 3.0–3.2 eV (3.2 eV for anatase and 3.0 eV for rutile), and only the UV fraction of solar light (about 3–5%) is effective for inducing photoactivity [3]. It has been realized that doping played a dramatic role in shifting the absorption edge to a lower energy region and increasing the photocatalytic activity in the visible light region [4–7]. A substantial amount of research work have focused on improving the absorption of visible light (400–800 nm) by nonmetal doping with N [5, 7–9], C [4, 6, 10], S [11], F [12], I [13], B [14], P [15], and so forth.

Metal doping can significantly reduce the band gap and promote electronic excitation under visible light irradiation. Umebayashi et al. [16] reported that electron localization and migration by the dopant played an important role in light response of TiO_{2}. Mn-doping modified the electronic structure of rutile TiO_{2} and improved the catalytic performance [17]. Andronic et al. [18] reported that there was a linear correlation between the band gap energy of the Cd-doped TiO_{2} films and dyes photodegradation efficiency. Cd-doped mesoporous titania had high visible-light photocatalytic activities [19]. Whether as interstitial atom or lattice atom displacement, metal doping introduces impurity states between valance band (VB) and conduction band (CB), which act as electrons and holes recombination centers and can capture most of the charge carrier. So, the metal ion doping plays a limit role in improving the photocatalytic activity of TiO_{2}.

Due to doping, there always exist unfavorable factors, such as oxygen vacancy, brought by charge imbalance for either single metal or nonmetal element doping. However, the bielement doping is likely to maintain charge balance through charge compensation in the crystals. Wen et al. [20] discussed the effect of bielement doping and the calcination temperature on the microstructure and photocatalytic activity of I, F codoped TiO_{2}. Nonionic surfactant was used as template to prepare N, F codoped TiO_{2} for degradation of microcystin [21]. Xu et al. [22] found that there was a new electronic level in the structure of Ce, C codoped TiO_{2} and pointed out that Ce doping could delay recombination of electrons and holes, shift the absorption to the red light region and enhance its photocatalytic activity. Tan et al. [23] studied the mechanism of light absorption and photocatalytic properties of Mo, N codoped TiO_{2} and pointed out that oxygen vacancies played an important role in improving the photocatalytic performance of TiO_{2}. Due to the strong synergistic effect of W and N, the electronic structure was changed with the band gap narrowing and the optical absorption increasing [24]. Pingxiao et al. [25] studied preparation and photocatalysis of TiO_{2} nanoparticles doped with nitrogen and cadmium, and the results of the study showed that nitrogen and cadmium codoping caused the absorption edge of TiO_{2} to shift to the visible-light region. At present, the theoretical research of N, Cd-codoped anatase TiO_{2} (101) surface has not been seen reported.

In our work, bare TiO_{2}, Cd-doped, N-doped and N, Cd-codoped TiO_{2} photocatalysts have been synthesized by thermal decomposition method. The products were characterized by X-ray diffraction (XRD), scanning electron microscopy (SEM), UV-visible diffuse reflectance spectra (DRS), and X-ray photoelectron spectroscopy (XPS), respectively. The photocatalytic activities of samples were studied on the degradation of methyl orange (MO). First-principle calculations based on density functional theory (DFT) were performed to probe the effect of N and Cd incorporation on electronic structure and optical properties of TiO_{2}. To the best of our knowledge, this is the first theoretical explanation to rationalize the gap narrowing mechanism and the substitutional and adsorptive roles of N and Cd doping in surface-state anatase. The theoretical calculations were used to account for the experimental observation which was high photocatalytic performance of N, Cd-codoped TiO_{2} for organic pollutants degradation.

#### 2. Experimental

##### 2.1. Photocatalyst Preparation

The photocatalyst series have been synthesized by thermal decomposition method, using dodecylamine as nitrogen source and cadmium nitrate (Cd(NO_{3})_{2}) as Cadmium source. Isopropanol and tetra-n-butyl titanate (TTNB) were added into 250 mL round-bottom flask in turn according to a certain proportion, then 100 mL acetic acid solution (pH = 2) was added with magnetic stirring to form transparent solution. After then, dodecylamine and Cd (NO_{3})_{2} was added into the solution according to certain molar ratio. The obtained solution was then transferred to a 250 mL three-neck boiling flask. After having been stirred vigorously for 24 h, it was heated in the paraffin bath, with the temperature rising gradually to 120°C at a rate of 10°C/h and temperature heating for two hours, until a white precipitate appeared. The precipitate was washed with ethanol until pH = 7 and dried at 60°C for 24 hours, forming a white solid composite. Finally, the samples were calcined at certain temperature in muffle furnace for 2 hours. Bare TiO_{2}, Cd-doped TiO_{2}, and N-doped TiO_{2} were prepared in the same way.

##### 2.2. Characterization

The crystalline phase of the powders that evolved after calcination was examined by XRD with a Rigaku D/MAX-2000 diffractometer, using Cu K*α* irradiation ( nm) at 45 kV and 40 mA. The crystallite size (*D*) was estimated from the width of lines in the XRD pattern according to the Scherrer equation. A scanning electron microscope (SEM) JSM-6300 (JEOL Ltd, Japan) was used to investigate the surface morphology of the sample. In addition, UV-vis diffuse spectra were measured at room temperature with a UV-vis spectrometer (Cary-500, Varian Co.). Nitrogen adsorption-desorption isotherms at 77 K were measured using a Quantacherome Nove 1000e system, and the Brunauer-Emmett-Teller (BET) surface area was calculated from the linear part of BET plot. X-ray photoelectron spectroscopy (XPS) measurements were performed with the ESCALAB 250 Microprobe System (ThermoFisher SCIENTIFIC), using the Mg K Line of a 300 W Mg X-ray tube as a radiation source at 15 kV. All the binding energies were referenced to the C 1s peak at 284.8 eV of the surface adventitious carbon.

##### 2.3. Photocatalytic Activity Measurements

Photocatalytic activity of photocatalysts was evaluated by the degradation of MO, which was performed in an SGY-I photochemical reactor (Nanjing, Stonetech. EEC Ltd. Nanjing, China). A quartz cylinder (50 × 450 mm) was placed inside the reactor and illuminated with 300 W high-pressure mercury lamp. For each condition, a certain amount of powders was added into 500 mL of aqueous solution of MO (20 mg·L^{−1}). A magnetic stirrer was located at the bottom of the quartz cylinder so that a homogeneous TiO_{2} suspension could be maintained throughout the reaction. The solutions containing photocatalysts were stirred mechanically in the dark for 30 min to ensure adsorption-desorption equilibrium between MO and photocatalyst powders. The photocatalytic experiment was repeated under the identical reaction conditions to confirm the reproducibility. During the experimental process, 5 mL of aqueous suspension was taken from the quartz cylinder after specific intervals, centrifuged, and filtered through 0.45 *μ*m millipore filter to monitor the degradation of MO dye. UV spectrophotometer (UV-vis Cary50; Varian Co.) was used to monitor changes in the spectral intensity distribution of the dye.

#### 3. Results and Discussions

##### 3.1. XRD Analysis

The phase structure, crystallite size, and crystallinity of TiO_{2} play an important role in photocatalytic activity, and many studies have confirmed that anatase phase of titania shows higher photocatalytic activity than brookite or rutile phase [26]. The XRD patterns of TiO_{2} photocatalysts calcined at 450°C were showed in Figure 1. There existed sharp diffraction peaks, which lay at 25.4°, 37.9°, 48.0° and 53.9°, corresponding to (101), (004), (200), (105) anatase crystal plane diffraction, respectively. There were no apparent diffraction peaks at 27.5° and 54.5° in the XRD patterns, indicating the rutile phase did not exist in the sample. It indicated that the prepared products were anatase-TiO_{2} monophase and element-doping did not affect the crystalline phase of TiO_{2} catalyst.

It was also seen in Figure 1 that the intensity of the maximum diffraction peak (2*θ* = 25.4°) of the bare TiO_{2}, Cd-TiO_{2}, N-TiO_{2}, and N, Cd-codoped TiO_{2} decreased in turn. The average size of crystallites was estimated based on the broadening of (101) peak at 2*θ* = 25.4° according to Scherrer equation. The crystal diameter of bare TiO_{2}, Cd-TiO_{2}, N-TiO_{2} and N, Cd-TiO_{2} was 14.56 nm, 12.55 nm, 13.34 nm, and 12.60 nm, respectively. It indicated that element-doping inhabited the crystal grain growth and particles aggregation, resulting in larger specific area. Small particle size could shorten the route of an electron migrates from the conduction band of the TiO_{2} to its surface, while large surface area could provide more active sites and absorb more reactive species. Additionally, there was no new crystalline phase for Cd-TiO_{2}, N-TiO_{2}, and N, Cd-TiO_{2}, illustrating that the N and Cd doping did not change the catalysts phase.

##### 3.2. SEM Analysis

Figure 2 showed SEM micrograph of the calcinated samples at 450°C. The SEM images showed that nanoparticles were uniform (12~15 nm), global and slightly agglomerated. Further observation indicated that the morphology of samples was very rough and might be beneficial to enhancing the adsorption of reactants.

##### 3.3. UV-Vis DRS Analysis

Figure 3 illustrated the UV-vis DRS of the photocatalysts. Compared to the strong absorption in the UV region, the absorption in the visible region was relatively weak for all the photocatalysts. Both in the UV region (<400 nm) and visible region, the absorptions of as-prepared photocatalysts were all stronger than that of pure TiO_{2}. The intensity of absorption of pure TiO_{2}, Cd-TiO_{2}, N-TiO_{2}, and N, Cd-doped TiO_{2} increased in turn, and the absorption intensity of N, Cd-codoped TiO_{2} was the strongest. The band gap () of the photocatalysts could be calculated for practical purposes by the following equation [27]
where is the absorbance wavelength. The band gaps of TiO_{2} catalysts were shown in Table 1. The of pure TiO_{2}, Cd-codoped, N-doped, and N, Cd-codoped TiO_{2} was 3.20 eV, 3.16 eV 3.15 eV, and 3.08 eV, respectively. The band gaps of as-prepared photocatalysts were all smaller than that of pure TiO_{2}. The absorption edges of Cd-doped TiO_{2} (392.4 nm), N-doped TiO_{2} (394 nm), and N, Cd-codoped TiO_{2} (402.6 nm) were larger than that of pure TiO_{2} (387.5 nm), which indicated that the observation of optical bands in the visible range (400–550 nm) could be ascribed to doping. The absorption in the visible region might be induced by a subband-gap transition corresponding to the excitation from the valence band to the impurity band [9]. The absorption of N, Cd-codoped TiO_{2} in the visible light ( nm) was the maximum, indicating the codoping of N and Cd might have a synergistic effect on enhancing the photocatalytic activity.

##### 3.4. Surface Area Analysis

The photocatalytic activity of photocatalyst is relative to the number of active surface sites, the surface properties of photocatalysts often have important effects on their photocatalytic activity. The BET surface area of N, Cd-TiO_{2} (102.67 m^{2}/g) was also higher than those of Cd-TiO_{2} (95.63 m^{2}/g), N-TiO_{2} (81.90 m^{2}/g), and bare TiO_{2} (69.81 m^{2}/g). It could be concluded from the experimental results that element-doping inhabited the crystal grain growth and particles aggregation. And the addition of N and Cd played the synergistic effect in modification the structure of TiO_{2}. The doping led to the crystal structure distortion, crystallinity reduction, and the specific surface area increasing, which would enhance the effective organic adsorption on the surface of catalyst. It also made the electronic migration from crystal inner to surface easy. The crystal surface defects could inhibit the electron-hole pairs on the catalyst surface, which would result in the photocatalytic activity increasing. It also indicated that the strong synergistic interaction of N and Cd appeared to play an important role in driving the excellent photoactivity performance of the N, Cd-TiO_{2}, which could be seen in Section 3.6.

##### 3.5. XPS Analysis

The XPS survey spectrum of the N, Cd-TiO_{2} was showed in Figure 4(a). XPS peaks showed that the N, Cd-TiO_{2} photocatalyst contained Ti, O, N, and Cd elements and a trace amount of carbon. The presence of carbon was ascribed to the residual carbon from the precursor solution and the adventitious hydrocarbon from the XPS instrument itself.

Figure 4(b) showed the N1s XPS spectrum of the N, Cd-codoped TiO_{2}. A peak appeared at 405.4 eV and a small peak appeared at 399.6 eV, which was ascribed to the N atoms from adventitious N–N, N–H, O–N, or N-containing organic compounds adsorbed on the surface of TiO_{2} [5]. This analysis indicated that N atoms were incorporated into the TiO_{2} crystallattice under our experimental condition. Figure 4(c) showed the Cd 3d XPS spectra of N, Cd-TiO_{2}. A peak appeared at 405.3 eV and was ascribed to the Cd atoms (Cd 3d5/2) from Cd and CdCO_{3}. The results showed that Cd did not incorporate into the TiO_{2} crystal lattice but existed in the form of CdCO_{3}. It might also suggest that Cd was gradually excluded from the Ti-O framework to the surface of titania, and hindered the anatase crystallites from growing in size.

##### 3.6. Photocatalytic Activity

Figure 5 showed the relationship between the degradation and the irradiation time for each photocatalyst during the photocatalytic degradation of MO. It indicated that there were obvious photocatalytic activities under irradiation for all photocatalysts. Until irradiated for 15 minutes, the degradation rates on the MO for bare TiO_{2}, Cd-TiO_{2}, N-TiO_{2}, N, Cd-codoped TiO_{2} were 88%, 95%, 97%, and 99%, respectively. And the degradation rate corresponding to the N, Cd-codoped TiO_{2} catalyst was the highest. After being irradiated for no more than 30 minutes, the degradation rates of as-prepared photocatalysts all almost reached 100% (pure TiO_{2}, Cd-TiO_{2} N-TiO_{2}, N, Cd-codoped TiO_{2} were 99.0%, 99.3%, 99.4%, and 99.6%, resp.). The enhanced photocatalytic performance showed N, Cd codoping played a synergistic role in the improvement of the photocatalytic properties of titania. It indicated that element codoping was an effective means to improve the photocatalytic performance of photocatalysts.

#### 4. Theoretical Analysis

##### 4.1. Calculation Models and Methods

First-principles calculation based on DFT [28, 29] was performed to explore the effect of dopants on the electronic structure and optical properties of photocatalysts. The anatase (101) surface was modeled with a periodically repeated slab. We considered a pure TiO_{2} surface supercell containing 96 atoms, of dimension 2 × 2 in the [101] and [010] directions, respectively, corresponding to a surface area of and the number of the atom layers was 4. It was named as , as shown in Figure 6(a). The other model was created based on it. To ensure interaction between the upper and lower layers be ignored, the vacuum thickness was set to 10 Å. According to the experimental XPS results, one kind of defect surface was considered, namely, substitutional N, adsorptive Cd model (Ti_{32}CdO_{63}N). The supercell of Ti_{32}CdO_{63}N was shown in Figure 6(b). Side view of (a) the four-layer relaxed slab, which was used in surface properties calculations and labeled Ti_{32}O_{64}, (b) Ti_{32}CdO_{63}N was simulated by replacing one oxygen atom with nitrogen atom and adding one cadmium atom on the surface of the supercell.

The calculations in our work have been carried out using the well-tested CASTEP code [30, 31], which employs planewave basis sets to treat valence electrons and pseudopotentials to approximate the potential field of ionic cores (including nuclei and tightly bond core electrons). The general gradient approximation (GGA) with PW91 functional [32] and ultrasoft pseudopotentials [33] were used to describe the exchange-correlation effects and electron-ion interactions, respectively. N (2s2 2p3), O (2s2 2p4), Ti (3s2 3p6 3d2 4s2), and Cd (4d10 5s2) electrons were considered as valence states, while the remaining electrons were kept frozen as core states. Pulay density hybrid method was used in energy calculations, convergence threshold for self-consistent field was set to eV/atom. The k-point sampling of the Brillouin zone was set to . Fast Fourier change for . The Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm has been used for geometry optimizations and the atomic relaxation was carried out until all components of the residual forces were less than 0.05 eV/Å, the energy and the displacement tolerances were set to eV/atom and nm, respectively. In calculation, the geometry models of TiO_{2} supercell were optimized firstly, then their electronic structures and optical properties were calculated. All the calculations were performed in the reciprocal space.

##### 4.2. Results and Discussions

###### 4.2.1. Impurity Formation Energy and Structural Optimization

By optimizing the pure anatase TiO_{2} unit cell, the unit cell parameters were obtained as follows: *a* = *b* = 3.8174 Å, *c* = 9.6950 Å, dap = 2.0050 Å, deq = 1.9540 Å, and 2 = 155.917°. They were in good agreement with experimental results [34]: *a* = *b* = 3.7848 Å, *c* = 9.5124 Å, dap = 1.9799 Å, deq = 1.9338 Å, and 2 = 156.230°. This result implied that our calculations were reliable and believable.

In order to determine the stabilities of the doped systems, we calculated the formation energies ( of the doped systems according to the following formula (1)
where and were the total energy of N, Cd codoped TiO_{2}, pure TiO_{2} in the same size supercells. and were the energy of N_{2} and O_{2} gas molecular, and were the energy of bulk Cd and Ti metal, respectively, *n* was the number of titanium atoms replaced by Cadmium atoms in the doping system. The calculated results was shown in Table 2. According to the results, we discovered that the of Ti_{32}CdO_{63}N was positive, which indicated that the synthesis of N, Cd codoped TiO_{2} required energy.

The crystal data of pure and N, Cd codoped TiO_{2} were shown in Table 2 In Ti_{32}CdO_{63}N, the Ti–O bond length 1.9585 Å was longer than the original Ti–O one 1.9543 Å. The Ti–N bond length 1.8976 Å was shorter than the Ti–O calculated value 1.9585 Å, due to the smaller radius of N compared to O^{2−} The changes of O–Ti–O(N) bond angle in Ti_{32}CdO_{63} N were noticeable compared to pure TiO_{2}. All these factors could lead to higher dipole moments in TiO6 octahedron. Sato et al. [35] found that the local internal fields due to the dipole moment of distorted octahedral promote the charge separation in the very initial process of photoexcitation. The electron-hole pair can separate more easily and recombine slower, and the photocatalysts show a better photocatalytic performance. This was one reason for N, Cd codoped TiO_{2} showed a higher activity.

###### 4.2.2. Electronic Structure Analysis

To investigate the effect of dopants on the electronic structure and properties of TiO_{2}, the band structure and the partial density of states (PDOS) of the anatase TiO_{2} were calculated. The band structure for the bare TiO_{2} was showed in Figure 7(a) with the Fermi energy being 0 eV on the energy axis. And the PDOS for the bare TiO_{2} was presented in Figure 7(b). The PDOS for the bare TiO_{2} revealed that the bottom of conduction bands (CB) was mostly composed of Ti 3d states and the top of valence bands (VB) was dominated by O 2p states, which can be seen in Figure 7(b). It was showed in Figure 7(a) that the valence band maximum (VBM) and the conduction band minimum (CBM) located at G point, which indicated that bare TiO_{2} was a direct-gap semiconductor material. The minimum gap between VBM and CBM () was 2.458 eV, which was lower than the experimental value of 3.20 eV. This underestimation of the energy gap was mainly due to the well-known shortcoming of the exchange-correlation functional in describing excited states [36]. However, as a kind of effective approximation, its relative calculation value was quite exact, and it did not affect theoretical analysis on electronic structure analysis.

The band structure and PDOS of N, Cd-TiO_{2} (Ti_{32}CdO_{63}N, substitutional N, adsorptive Cd) were presented in Figures 8(a) and 8(b), respectively. The band structure of TiO_{2} was modified by N and Cd codoping. The PDOS for the N, Cd-TiO_{2} revealed that the conduction band consisted of the Ti 3d states mainly, and the valence bands (VB) was dominated by O 2p, Ti 3d, and Cd 4d states, which can be seen in Figure 8(b). As showed in Figure 8(a), there were two kinds of impurity states, which came from N 2p and Cd 5s, respectively, between valence bands and conduction bands. The impurity state from Cd 5s lied 0.655 eV below the bottom of the conduction band, which could absorb smaller photon energy and achieved indirect transition so that the light absorption of TiO_{2} extended to the visible light area. While the impurity state from N 2p lied 0.244 eV above the top of the valence band, which made it become a shallow acceptor level.

Since the shallow acceptor would be act as capture trap for photoexcited electrons, the impurity states between VBM and CBM could reduce the recombination rate of photoexcited carriers, which were very crucial for the enhancement of the photocatalysis efficiency. Compared to bare TiO_{2}, both CBM and VBM of Ti_{32}CdO_{63}N shifted to the low energy level, which indicated that Ti_{32}CdO_{63}N had stronger redox ability than bare TiO_{2}. The energy gap narrowed from 2.458 eV to 2.225 eV, which made the electron transiting from valence band to conduction band become easy. All the above results implied that nitrogen and cadmium codoping resulted in red shift of the optical absorption edge and could greatly enhance the photocatalytic activity of TiO_{2}. It was consistent with the experimentally observed absorption of N, Cd-TiO_{2} in the visible region.

###### 4.2.3. Optical Properties

In order to make the calculated results more correspond with the actual situation, in the calculation of the optical properties using the “scissor operators” fixed: 0.742 eV (the difference between band gap of measured and calculated). Photo absorption coefficient were calculated with function polycrystalline and using the photo wavelength as the horizontal axis, the optical absorption coefficient as the vertical axis in this paper. The calculated optical absorption spectrum diagram was shown in Figure 9. It was showed in Figure 9 that the absorption coefficient of N, Cd-TiO_{2} were higher than that of the bare TiO_{2} in the wavelength region from 350 nm to 780 nm, and the optical absorption edge shifted to long-wavelength range. The optical characteristics corresponded to their electronic structures, modified by N and Cd codoping with the energy gap reduction and introduction of impurity states between the VBM and CBM. Theoretical calculation results could account for the experimental observation.

#### 5. Conclusions

Bare TiO_{2}, Cd-doped, N-doped, and N, Cd-codoped TiO_{2} photocatalysts have been synthesized by thermal decomposition. The photocatalysts possessed an anatase crystalline framework having particle sizes of 10–15 nm. The corresponding absorption edge was 387.5 nm, 392.4 nm, 394.0 nm, and 402.6 nm, respectively, which indicated they represented photocatalytic activities in the visible region. N atoms were incorporated into the crystallattice, while Cd atoms existed on the crystal surface of TiO_{2}. The codoping of N and Cd might have a synergistic effect on enhancing the photocatalytic activity of TiO_{2}. The first-principle calculations indicated the energy gap of N, Cd-codoped TiO_{2} became narrow and local internal fields of codoping enabled photoexcited electron-hole pair’s separation became very easy. Excitation from the impurity states of N 2p or Cd 5s to the conduction band could account for the optical absorption edge shifted toward the low energy level, which was consistent with the experimentally observation. N, Cd-codoped TiO_{2} perform better photocatalytic activity in the visible light region than the bare TiO_{2}. The theoretical analysis might provide a probable reference for the experimental synthesis of new photocatalysts in the future.

#### Acknowledgments

This work has been cosupported by the Outstanding Adult-Young Scientific Research Encouraging Foundation of Shandong Province (Grant no. 2008BS09016) and the Scientific Research Program of Shandong Province Education Department (Grant no. J08LC55).

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