X-ray diffraction pattern
An X-ray diffraction pattern was used to investigate the type of crystalline in material and also to know if any change was occurred after doping of TiO2. Figure 1a shows the XRD patterns of the un-doped and N-doped TiO2 samples. As shown in the XRD pattern, all synthesized samples had a sharp diffraction peak indicating a good characteristic crystal. The distinctive peaks at 2θ = 25.49°, 37.14°, 37.99°, 38.76°, 48.35°, 54.12°, 55.33°, 62, 90° and 68.95°; correspond to the anatase (JCPDF Card No. 20-0387) were observed. The patterns also showed that the anatase was the main phase in un-doped and N-doped TiO2 under all synthesis conditions.
These results revealed that the peak positions were nearly the same and no detectable dopant-related peaks were observed, implying that the structure of TiO2 has not been changed and also suggesting that nitrogen dopants do not react with TiO2 to form new crystalline [25, 26]. It is noteworthy, that many documents have also reported that doping with the nitrogen ions have not exhibited additional phase except anatase [22, 27]. The pure anatase phase in N-doped TiO2 could be due to the fact that the nitrogen dopants are so low and they have also moved into either the interstitial positions or into the substitution sites of the TiO2 crystal structure [25, 28]. Compared to the un-doped TiO2, the peak of N-doped TiO2 samples exhibited a slight shift toward the lower angle corresponding to (1 0 1) plane of anatase (Fig. 1b), indicating a lattice distortion of the N-doped TiO2. These defects and disorderly state in the particles caused by nitrogen dopants are reported as key factor for absorption edge shift towards the visible-light region [25, 27].
The average crystallite size of un-doped TiO2 and N-doped TiO2 were calculated according to the Debye-Scherrer formula as the following:
$$ D=\frac{k\lambda }{\beta cos\theta} $$
(1)
where:
D = the average crystallite size,
k = a dimensionless shape factor (usually = 0.9),
λ = the wave length of the X-ray radiation (0.15418 nm for Cu Ka),
β = the full width at half-maximum of the diffraction, and
θ = the corresponding diffraction angle in degree [21].
The calculated results were 30, 30, 26 and 34 nm for un-doped TiO2, NT1, NT2 and NT3 nano-particles, respectively.
FE-SEM and EDX
The FE-SEM was used to show the shape and morphology of un-doped and N-doped TiO2 particles (Fig. 2). The prepared nano-particles were found to be fine, irregular shape, slightly smooth surface and tend to agglomerate to form larger irregular grains. The diameter of particles was found to be 30-40 nm, which is in a good agreement with the crystal size obtained by XRD indicating that both un-doped and N-doped particle is nano-sized particles (Additional file 1: Figure S1). The energy dispersive X-ray Spectroscopy (EDX) of N-doped TiO2 for different points of sample shows the appearance peaks of N, O and Ti atoms, which indicating that N-doped TiO2 are mainly composed of these elements and confirm the N-doping process [29, 30]. The EDX spectra and the EDX elemental mapping (Additional file 1: Figure S2) also indicate no impurities in the samples and a good uniform distribution of N ions.
UV-vis diffuse reflectance spectra (UV-vis-DRS)
UV-visible diffuse reflectance spectra are the easiest and most convenient method to have a rough measure of the influence of doping [31]. As shown in Fig. 3a, doping of TiO2 with nitrogen ion is clearly indicated by the reflectance spectra in the range of 300–700 nm. It is confirmed by various studies that N-doping has positive effect on the activity of the TiO2 photocatalyst [31, 32]. As expected, N-doping caused a red shift from UV to the visible-light region. This red shift led to a better light absorption and consequently high radical generation and degradation efficiency.
Changing toward higher light absorption and red shift of absorption edge, which is in consistent with the yellowish color of nano-particles, can be attributed to narrowing of the band gap of synthesized nano-sized particles [26].
The band gap energies (Eg) of nano-sized particles can be determined according to the following equation [33]:
$$ \left(\upalpha \mathrm{h}\upnu \right)=A{\left(\mathrm{h}\upnu -{\mathrm{E}}_{\mathrm{g}}\right)}^{\mathrm{r}} $$
(2)
where α is the absorption coefficient, h is Planck’s constant, ν is the frequency of light, A is the absorption constant, Eg is the optical energy gap of the nano-sized particle and r is a number for characterizing the transition process, which is equal to 2 for indirect transition and 0.5 for direct transition. Therefore, the band gap energy of un-doped and N-doped TiO2 can be determined from plots of the square root of (αhν)0.5 versus photon energy (Fig. 3 b).
The calculated optical band gaps were 3.02, 2.92, 2.91 and 3.09 eV for the TN1, TN2, TN3 and un-doped TiO2 nano-particles, respectively. In all synthesized nano-particles the optical band gaps were lower than the band gap of commercial TiO2 (3.2 eV) that is reported in various literatures [34]. This narrower band gap enhances transition of electrons from the valence band to the conduction band in the doped TiO2 under ultrasonic irradiation and therefore it can increase sonocatalytic activities [34].
The decrease in the band gap of N-doped TiO2 can be attributed to the localized N 2p states in the structure of TiO2 lattice in the form of substitutional and/or interstitial N states. It has been reported that substitutional N doping decreases the band gap by mixing of the O 2p and N 2p orbitals, while interstitial doping creates an additional state between the valence band and conduction band [22, 34].
Sonocatalytic performance of various sonocatalysts
The degradation of humic acid was studied using sonolysis, sonocatalysis with TiO2, and sonocatalysis with different nitrogen contents doped in TiO2. Figure 4 shows the degradation of humic acid under using different sonocatalysts at the neutral pH. The amount of adsorption for humic acid on the surface of the nano-particles was less than 3 % in darkness without ultrasonic irradiation; therefore it was negligible for un-doped and N-doped TiO2.
As shown in Fig. 4, only 32 % of humic acid was degraded under ultrasonic irradiation after 90 min (without sonocatalyst), while the degradation efficiency of TiO2, TN1, TN2 and TN3 sonocatalysts were 49.0, 55.0, 72.0 and 60.0.%, respectively. These results indicate that presence of sonocatalyst increases the degradation efficiency. This improvement could be due to this fact that the added sonocatalysts act as nuclei for bubble formation in aqueous solution as well as formation of oxygen vacancies in N-doped TiO2 crystallite [15, 21]. These oxygen vacancies act as electron-trapping sites and prevent the recombination of hole-electron pairs, while, the additional amount of surface defect such as oxygen vacancies could increase the recombination of hole-electron pairs [21, 23].
As shown in Fig. 4, the highest sonocatalytic activity was achieved by TN2 with 72.0 % for humic acid degradation after 90 min of ultrasonic irradiation. According to the reported studies, the sonocatalytic activity of doped TiO2 under ultrasonic irradiation is affected by different parameters such as surface area, phase of catalyst, oxygen vacancies, crystalinity of nano-particles and band gap energy [21, 23]. Therefore, the high sonocatalytic activity of TN2 could be attributed to the band gap narrowing resulting from doping of nitrogen and well-formed anatase phase. Figure 4 also indicates that the sonocatalytic activity of N-doped TiO2 initially increased with the increase of N dopant but further increasing of dopant decreased the activity. Therefore for improvement of sonocatalytic activity of TiO2, optimum amount of dopant is essential.
Kinetic study
The sonocatalytic degradation of humic acid can be well explained by a pseudo-first-order reaction and its kinetics can be expressed with the following equation:
$$ \ln \left(\frac{{\mathrm{C}}_0}{\mathrm{C}}\right)={\mathrm{k}}_{\mathrm{app}}\mathrm{t} $$
(3)
where k
obs
is the apparent reaction rate constant, C0 and C are the humic acid concentrations at initial and at time t, respectively. The k
obs
were determined from the slopes of straight lines obtained by plotting ln(C
0
/C) versus irradiation time.
The values of apparent reaction rate constants (k
app
) related to the various synthesized nano-sized particles are presented in Table 1. The correlation coefficients above 0.98 indicated the sonodegradation of humic acid by un-doped and N-doped TiO2 suspensions obey the first-order kinetic model in solution. These results also indicated that reaction rate of humic acid can be improved by doping of nitrogen into the TiO2 structure. The apparent reaction rate constant of un-doped TiO2 was 0.84 × 10-2 min-1, while the apparent reaction rate constant of TN2 was 1.56 × 10-2 min-1. In addition, enhancement of the reaction rate constants of TN1, TN2 and TN3 were 1.98, 3.25 and 2.40 times higher than the reaction rate constant of sonolysis without catalyst, respectively. These results are in accordance with the those reported by Huang et al. [35] and Wu et al. [33] who studied the degradation of organic pollutants by un-doped TiO2 and ion- doped TiO2.
Table 1 Results of kinetic constant, kapp, relative increase and removal efficiency of different N-doped TiO2
Effect of initial humic acid concentration
The initial concentration of solute in aqueous environment is a key factor on sonocatalytic degradation. As shown in Fig. 5, the degradation efficiency of humic acid increased with decrease in its initial concentration. Sonocatalytic degradation of humic acid with the initial concentrations of 5, 10, and 20 mg L-1 for 90 min lead to the conversion of 82.0, 76.0 and 68.0 % of humic acid, respectively. This result indicates that the high degradation efficiency could be obtained at lower humic acid concentration. Our results are in good agreement with the results reported in literature [36]. This result can be due to this fact that under the same conditions, the amount of formed radicals during the sonocatalytic reaction was equal in the entire volume of the solution; therefore, the reaction of humic acid molecules with radicals becomes more likely at lower humic acid concentrations [15].
Langmuir–Hinshelwood model is widely used for analysis of heterogeneous sonocatalytic degradation kinetics as well as to realize the dependence of observed initial reaction rate on the initial concentration of solute in the aqueous environment [9, 29, 37, 38]. The L-H kinetic model is defined as the following equation:
$$ \mathrm{r}=-\frac{\mathrm{dc}}{\mathrm{dt}}={\mathrm{k}}_{\mathrm{r}}{\uptheta}_{\mathrm{x}}=\frac{{\mathrm{k}}_{\mathrm{r}}\mathrm{K}\mathrm{C}}{1+\mathrm{K}\mathrm{C}} $$
(4)
where r is the reaction rate (mg L-1 min-1), C is the concentration of solute at any time (mg L-1), t is the reaction time (min), kr is the Langmuir-Hinshelwood reaction rate constant, related to the limiting rate of reaction at maximum coverage for the experimental condition (mg L-1 min-1) and K is the Langmuir adsorption constant reflecting the proportion of solute molecules which adhere to the catalyst surface (L mg-1) and θ is the fraction of the surface of TiO2 covered by solute. A linear expression of L-H model can be obtained by linearzing the Eq. (4) as follows:
$$ \frac{1}{r_0}=\frac{1}{k_r}+\frac{1}{k_rK{C}_0} $$
(5)
The parameters kr and K which were calculated by plotting the reciprocal initial rate against the reciprocal initial concentration were 0.62 mg L-1 min-1 and 0.04 L mg-1, respectively (Fig. 6). As shown in Fig. 6, from the correlation coefficient above 0.98 it could be observed that the experimental data are in good agreement with L-H model. According to the L-H model, the reaction is first order at low concentration and zero order at high concentration.
Possible mechanism
In sonolysis process, the sono-luminescence and localized hot-spots with high temperatures up to 5000 K and high pressures (approximately1800 atm) caused by acoustic cavitation and collapse of micro-scale bubbles will occur [11, 12, 39]. These hot spots can pyrolysis water molecules to OH′ and H′ radicals as below Eq. (6):
$$ {H}_2O + \left)\right)\Big)\to O{H}^{\kern0.5em \hbox{'}}+{H}^{\kern0.5em \hbox{'}} $$
(6)
In addition, the sono-luminescene could induce the formation of flash light/energy which equals or exceeds the band gap energy of TiO2 to excite the all synthesized nano-sized particles. The electron excitation from the local state of N 2p result in the generation of conduction band electrons (e−) and valence band holes (h+) as shown by Eqs. (7) and (8):
$$ \left)\right)\Big)\to \mathrm{light}\ \mathrm{or}\ \mathrm{energy} $$
(7)
$$ \mathrm{N}\hbox{-} \mathrm{doped}\hbox{-} {\mathrm{TiO}}_2 + \left)\right)\Big)\to {\mathrm{h}}^{+}+{\mathrm{e}}^{-} $$
(8)
These charges migrate to the surface and finally react with a suitable electron donor and acceptor. The electrons are captured by Ti4+ to form Ti3+ states. Subsequently, the 3d orbital of Ti3+ ions are localized at 0.75–1.18 eV below the bottom of the conduction band. Ti3+ is known to be the most reactive site for oxidation process because it may cause more oxygen vacancy sites, as well as oxygen molecule is more easily adsorbed on TiO2 surface. Besides, the electrons will react with these surface adsorbed oxygen molecules (O2) to form superoxide radical anion (O2
′) (Eq. 3) and is transformed further to hydroxyl radical (OH′) as shown in Eqs. (9) – (14).
$$ {e}^{-}+T{i}^{4+}\to T{i}^{3+} $$
(9)
$$ {e}^{-}+{O}_{2(ads)}\kern0.5em \to {O}_2^{\kern0.5em \hbox{'} - } $$
(10)
$$ 2{O}_2^{\hbox{'}-}+2{H}_2O\to 2{H}_2{O}_2+{O}_2 $$
(11)
$$ {O}_2^{\hbox{'}-}+{H}^{+}\to HO{O}^{\kern0.5em \hbox{'}} $$
(12)
$$ HO{O}^{\kern0.5em \hbox{'}}+{H}_2O\to {H}_2{O}_2+O{H}^{\kern0.5em \hbox{'}} $$
(13)
$$ {H}_2{O}_2 + \left)\right)\Big)\to 2O{H}^{\kern0.5em \hbox{'}} $$
(14)
The holes migrate to the surface and react with water molecules or chemisorbed OH- on the surface of N–doped TiO2 and result in formation of OH′ radicals (Eqs. (15) and (16)). Besides, the holes can directly oxidize organic substances adsorbed on the surface of catalyst (Eq. (17))
$$ {h}^{+}+Ti\ \hbox{-}\ O{H}^{-}\to Ti\ \hbox{-} O{H}^{\kern0.5em \hbox{'}} $$
(15)
$$ {H}_2O+{h}^{+}\to O{H}^{\kern0.5em \hbox{'}}+{H}^{+} $$
(16)
$$ organic\ substances + {h}^{+}\to\ degraded\ products $$
(17)
where “)))” denotes to the ultrasonic irradiation. It is widely accepted that O2
′- and OH′ have strong oxidative degradation potential. Wu et al. found that the amounts of the produced OH′ radicals increase with doping of TiO2 [33] . In this study, from degradation efficiency it can be understand that the highest amount of radicals is generated on the surface of TN2 because narrower band gap of TN2 facilitates the transition of electron from the valence band to the conduction band and eventually increases sonocatalytic activity. Thus, optimum amount of nitrogen dopant play an important role in improving sonocatalytic activity.