Magnetic Resonance Studies of Hybrid Nanocomposites Containing Nanocrystalline TiO2 and Graphene-Related Materials

Nanocomposites based on nanocrystalline titania modified with graphene-related materials (reduced and oxidized form of graphene) showed the existence of magnetic agglomerates. All parameters of magnetic resonance spectra strongly depended on the materials’ modification processes. The reduction of graphene oxide significantly increased the number of magnetic moments, which caused crucial changes in the reorientation and relaxation processes. At room temperature, a wide resonance line dominated for all nanocomposites studied and in some cases, a narrow resonance line derived from the conduction electrons. Some nanocomposites (samples of titania modified with graphene oxide, prepared with the addition of water or butan-1-ol) showed a single domain magnetic (ferromagnetic) arrangement, and others (samples of titania modified with reduced graphene oxide) exhibited magnetic anisotropy. In addition, the spectra of EPR from free radicals were observed for all samples at the temperature of 4 K. The magnetic resonance imaging methods enable the capturing of even a small number of localized magnetic moments, which significantly affects the physicochemical properties of the materials.


Introduction
Titania is an interesting material with many applications, e.g., photovoltaics, photocatalysis, filters, electronic instruments, food industry, or construction. The positive features of the material are also related to its low price and chemical resistance. The composites of titania with graphene have recently been intensively studied for their photocatalytic [1][2][3][4][5][6][7][8] and conductive [9][10][11][12][13] properties. Thanks to the conductive properties and magnetic arrangement of titania and its composites, their potential application in spintronic are reported as well [14][15][16][17][18]. Localized magnetic centers and the forming magnetic agglomerates play an important role in the physical properties of the composites.
Each modification by different methods brings new information about photocatalytic processes to understand them as an application possibility better. As pointed out, magnetic resonance imaging methods capture a small number of localized magnetic moments, significantly affecting the physicochemical properties.
In our previous paper [8], titania nanocomposites modified with reduced graphene oxide (rGO), prepared using the solvothermal method followed by calcination, were discussed. The modification of titania with rGO improved the photocatalytic properties. EPR/FMR measurements showed an occurrence of oxygen defects and ferromagnetic ordering systems.
The aim of the present work was to investigate the magnetic resonance spectra of nanocomposites based on nanocrystalline titania and graphene-related materials. Furthermore, we want to emphasize the exceptional sensitivity of the magnetic resonance method. Using this method, a phase structure can be determined more precisely, which is crucial in photocatalytic, photovoltaic, and spintronic processes [8]. Due to the presence of oxygen defects and trivalent titanium ions, localized magnetic moments in the composites containing titania can significantly influence the physicochemical properties. The magnetic resonance imaging method is very sensitive, enabling the capturing of even a small number of localized magnetic moments.

Materials and Methods
The nanocomposites named TiO 2 -1ButOH_A, TiO 2 -H 2 O-GO_5%_A, TiO 2 -1ButOH-GO_5%_A, TiO 2 -GO_5%_M, TiO 2 -H 2 O-rGO_5%_A, TiO 2 -1ButOH-rGO_5%_A, and TiO 2 -rGO_5%_M (where A means autoclave and M means mechanical mixing) were prepared utilizing the hydro-or solvothermal method under elevated pressure conditions (under autogenic pressure). The method of materials preparation and detailed characterization was presented in our previous paper [33]. In brief, the first group of samples was obtained by mechanical mixing of 4 g of starting TiO 2 with 5 wt.% of GO or rGO compounds (samples denoted with M-mechanical mixing). The second group of samples was hydrothermally/solvothermally treated in a BLH-800 pressure autoclave (Berghof Products + Instruments GmbH, Eningen, Germany) together with 5 cm 3 of ultra-pure water or butan-1-ol at 200 • C for 4 h and then dried at 105 • C for 24 h to remove residual water and alcohol used as pressurizing agent. Water or butan-1-ol were used as chemicals for the one-step hydrothermal/solvothermal preparation method as the pressurising agents in the preparation method. Heating a fine dry powder of the semiconductor in a pressure autoclave did not generate elevated pressure conditions, i.e., due to very low moisture content in the powdered sample. Therefore, no rinsing step was utilized in the case for the mechanically mixed samples.
Detailed XRD studies of the composites were conducted and discussed in the previous paper [33]. The samples contained almost only the anatase phase; the rutile content was lower than 1%.
The EPR/FMR spectra were recorded using a standard X-band spectrometer type Bruker E500 (9.455 GHz) with a magnetic field modulation of 100 kHz. The magnetic field was scaled with an NMR magnetometer. Samples containing 10-30 mg of the tested substance in the form of a fine powder, without any cement dielectric, were sealed into 4 mm in diameter quartz tubes. All measurements were performed at liquid helium and room temperature.

Results
Figures 1 and 2 present the magnetic resonance spectra of the nanocomposites TiO2 1ButOH_A and TiO2-1ButOH-GO_5%_A, respectively, recorded at liquid helium (a) and room (b) temperature. Comparing Figure 1a with Figure 2a, it can be concluded that the modification o titania with graphene oxide resulted in a tenfold increase of the intensity of the resonance line at the temperature of 4K.
When comparing the spectra recorded at room temperature, some narrowing of the resonance line after the modification with GO can be observed (Figures 1b and 2b).
All nanocomposites exhibited broad resonance lines at room temperature, no observed at liquid helium temperature. This phenomenon is characteristic of magnetic agglomerations introduced into nonmagnetic matrices [34].
The effective geff factor can be calculated from the magnetic resonance condition (hν = geff μBHr, where h is Planck constant, ν is the microwave frequency, μB is Bohr magneton and Hr is a magnetic resonance field). The integrated intensity related to the number o magnetic moments involved in the resonance is defined as Iint = A•∆Hpp 2 , where A corresponds to amplitude and ∆Hpp is the peak-to-peak line width. The effective ge factors, integrated intensities, and other resonance spectra parameters for the samples under investigation are shown in Table 1. When two values are shown in the same line

Results
Figures 1 and 2 present the magnetic resonance spectra of the nanocomposites TiO2-1ButOH_A and TiO2-1ButOH-GO_5%_A, respectively, recorded at liquid helium (a) and room (b) temperature. Comparing Figure 1a with Figure 2a, it can be concluded that the modification of titania with graphene oxide resulted in a tenfold increase of the intensity of the resonance line at the temperature of 4K.
When comparing the spectra recorded at room temperature, some narrowing of the resonance line after the modification with GO can be observed (Figures 1b and 2b).
All nanocomposites exhibited broad resonance lines at room temperature, not observed at liquid helium temperature. This phenomenon is characteristic of magnetic agglomerations introduced into nonmagnetic matrices [34].
The effective geff factor can be calculated from the magnetic resonance condition (hν = geff μBHr, where h is Planck constant, ν is the microwave frequency, μB is Bohr magneton and Hr is a magnetic resonance field). The integrated intensity related to the number of magnetic moments involved in the resonance is defined as Iint = A•∆Hpp 2 , where A corresponds to amplitude and ∆Hpp is the peak-to-peak line width. The effective gef factors, integrated intensities, and other resonance spectra parameters for the samples under investigation are shown in Table 1. When two values are shown in the same line When comparing the spectra recorded at room temperature, some narrowing of the resonance line after the modification with GO can be observed (Figures 1b and 2b).
All nanocomposites exhibited broad resonance lines at room temperature, not observed at liquid helium temperature. This phenomenon is characteristic of magnetic agglomerations introduced into nonmagnetic matrices [34].
The effective g eff factor can be calculated from the magnetic resonance condition (hν = g eff µ B H r , where h is Planck constant, ν is the microwave frequency, µ B is Bohr magneton, and H r is a magnetic resonance field). The integrated intensity related to the number of magnetic moments involved in the resonance is defined as I int = A·∆Hpp 2 , where A corresponds to amplitude and ∆Hpp is the peak-to-peak line width. The effective g eff factors, integrated intensities, and other resonance spectra parameters for the samples under investigation are shown in Table 1. When two values are shown in the same line, the first value corresponds to the Lorentzian function and the second value to the Gaussian function. The resonance line for the nanocomposite TiO 2 -1ButOH-GO_5%_A is almost symmetrical and well fitted using the Lorentzian function ( Figure 3). The three nanocomposites of titania were modified with reduced GO and treated mechanically or in an autoclave (TiO 2 -H 2 O-rGO_5%_A, TiO 2 -1ButOH-rGO_5%_A, and TiO 2 -rGO_5%_M), the best fitting at room temperature was obtained by using two functions: Lorentz and Gauss (Figure 4). The resonance line for the nanocomposite TiO2-1ButOH-GO_5% symmetrical and well fitted using the Lorentzian function ( Figure 3). The th posites of titania were modified with reduced GO and treated mechanically clave (TiO2-H2O-rGO_5%_A, TiO2-1ButOH-rGO_5%_A, and TiO2-rGO_5% fitting at room temperature was obtained by using two functions: Lorentz a ure 4).  Additionally, a very narrow symmetric resonance line ( Figure 3) arising from free radicals [35,36] was observed for the sample TiO 2 -1ButOH-GO_5%_A. This line measured at RT was also observed for the nanocomposite TiO 2 -H 2 O-GO_5%. The narrow resonance line with the g eff = 2.0026(1) and peak-to-peak line width ∆H = 6.6(1) were the same for both samples. However, the intensity in the sample washed with butan-1-ol was over one order greater. Table 1 shows FMR parameters at room temperature, where spectra originating from magnetic agglomerates are more intensiv. In liquid helium temperature, the following values were reached: g eff = 1.9999(1) and peak-to-peak linewidth ∆H = 19.9(1) for TiO 2 -H 2 O-GO_5%_A; g eff = 1.9998(1) and peak-to-peak linewidth ∆H = 17.5(1) for TiO 2 -1ButOH-GO_5%_A. In liquid helium temperature, the amplitude ratio decreased to 1.76 between nanocomposites TiO 2 -H 2 O-GO_5%_A and TiO 2 -1ButOH-GO_5%_A. This may be due to the skin effect. In general, the skin effect is related to an increase of charge density in the surface and subsurface regions of the material, compared to that of the bulk. In our case, the skin effect is associated with an increase in microwave radiation absorption and an increase in conductivity. Our materials are semiconductors that increase conductivity with increasing temperature. Higher conductivity of the nanocomposite treated with butan-1-ol was observed.  In both kinds of nanocomposites, the essential line width increased at liquid helium temperature. A single Lorentzian function can well fit this line. The experimental EPR parameters, characteristic for localized defect spins, agree with previous reports, e.g., [28,29,35] on the RT EPR spectra of nanocomposites containing modified TiO 2 .
For the nanocomposites containing rGO, very low intensity of the resonance line at liquid helium temperature was observed.
In TiO 2 /graphitic carbon nanocomposites obtained in thermal treatment at higher temperatures, a wide resonance line was recorded above 150 K [8].
An EPR resonance line was often observed in the multishell nanographite samples and connected with aggregation processes. Therefore, the spectral experimental phenomena observed in this work behave differently than those described in previous works [8,37,38].
In Table 1, the obtained parameters of the magnetic resonance spectra at RT were given. The integrated intensity for TiO 2 -1ButOH_A, TiO 2 -H 2 O-rGO_5%_A, TiO 2 -1ButOH-rGO_5%_A, and TiO 2 -rGO_5%_M nanocomposites showed that the most spin systems were found in these four samples. The spectrum for the first, the TiO 2 -1ButOH_A sample, is well fitted using the Gauss function, while for the other three nanocomposites, the spectra are fitted using two functions, Gauss and Lorentz.
In the remaining three nanocomposites with GO (TiO 2 -H 2 O-GO_5%_A, TiO 2 -1ButOH-GO_5%_A, and TiO 2 -GO_5%_M), the quantity of the spin systems was reduced by one order of magnitude. In this case, the best fitting of the resonance spectrum was obtained using Lorentz' or Gauss' function. In the three nanocomposites containing rGO, the presence of magnetic anisotropy was determined, and the total integrated intensity increased significantly compared to the first titania sample shown in Table 1. The total integrated intensity (the sum of values mentioned in the fourth column of Table 1) increased 1.57 times for the sample TiO 2 -H 2 O-rGO_5%_A, 4.09 times for the sample TiO 2 -1ButOH-rGO_5%_A, and 3.03 times for the sample TiO 2 -rGO_5%, respectively (in comparison with the first sample). The increase in the total integrated intensity is related to the increase in spin systems involved in magnetic resonance. The reduction of graphene oxide causes a significant increase in the number of magnetic moments and, at the same time, an increase of magnetic anisotropy. It achieves the highest value of ∆H r for the sample TiO 2 -H 2 O-rGO_5%_A (the lowest number of magnetic moments) and the smallest value for theTiO 2 -1ButOH-rGO_5%_A nanocomposite (the highest number of magnetic moments). Such a significant increase in the total integrated intensity in the TiO 2 -1ButOH-rGO_5%_A nanocomposite can be caused by the smaller size of the magnetic agglomerates in this sample.
For the second, third, and fourth samples in Table 1, the line width was much lower than the other four samples. Among the four remaining samples, the lowest number of magnetic moments occurred for the TiO 2 -1ButOH_A nanocomposite, for which the lowest value of the line width was noted. The broadening of the magnetic resonance line is related to the effects of magnetic dipole−dipole interaction. Increasing the number of correlated spin systems results in the development of more significant relaxation processes for the transition from an excited to a normal state. The g eff parameter is associated with the position of the resonance lines, and its change is bound by the resonance condition by changing the internal magnetic field. In the first sample, TiO 2 -1ButOH_A, we can observe the formation of the highest value of the internal magnetic field and the highest line width compared with the next three samples in Table 1. The sample can be taken as a reference to other nanocomposites. In the last three nanocomposites (listed in Table 1) containing rGO, we can observe a significant increase in the number of magnetic agglomerations. It can enhance the magnetic anisotropy, with a significant increase in the internal magnetic field and the width of the resonance linewidth, due to dipole−dipole interactions (Table 1).
A complicated EPR spectra were observed at a low temperature, arising from different magnetic centers in some of the investigated nanocomposites related to defects associated with trivalent titanium ions. They are assigned to surface and bulk oxygen vacancystabilized trivalent titanium ions in the lattice sites in the subsurface layer.
The resonance line for the nanocomposites of TiO 2 with reduced graphene oxide (rGO), prepared using the solvothermal method followed by calcination (samples TiO 2 -H 2 O-rGO_5%_A and TiO 2 -1ButOH-rGO_5%_A), was fitted with the Gaussian and Lorentz functions. The results obtained for the sample TiO 2 -H 2 O-rGO_5%_A showed some significant differences in the positions of the resonant lines, linewidth, and integrated intensities in relation to the other two nanocomposites containing rGO (TiO 2 -1ButOH-rGO_5%_A and TiO 2 -rGO_5%_M).
The magnetic anisotropy was very similar, compared to other nanocomposites described in the previous work [8]. However, comparing the magnetic resonance parameters of the nanocomposites TiO 2 -H 2 O-rGO_5%_A and TiO 2 -1ButOH-rGO_5%_A with the TiO 2 /rGO-8-600 nanocomposite [8], significant differences in the position of the resonance lines and a significant increase in the line width of the resonance lines could be observed.
The preparation method and the additional factor associated with the titania-to-rGO ratio significantly affect those parameters related to reorientation and relaxation processes. Oxygen vacancies play a crucial role in photocatalytic processes, even if localized magnetic moments are present.
A very intense, narrow symmetric resonance line was observed for the nanocomposites TiO 2 -1ButOH-GO_5%_A and TiO 2 -H 2 O-GO_5% at RT with the g eff = 2.0026(1), which could arise from electron conductivity [37]. The broad resonance line observed at RT comes from magnetic agglomerates formed by oxygen defects associated with titanium ions [8]. Complex magnetic systems are formed in the modified titanium dioxide [38]. The XRD method is less sensitive to studying this effect than the EPR/FMR method. In the case of some of TiO 2 /rGO nanocomposites, the magnetic resonance line from magnetic ordering was observed, and in an appropriate calcination temperature system, the integrated intensity of the resonance lines from oxygen defects (free radicals) drastically increased [6].
After separating nanocrystallites, the above composites can be applied in medicine. In addition, considering their nanosize, they can be useful in spintronics, similar to titania doped with metals [16,18,38]. Finally, the nanocomposites can also be used as nano-level magnets because nanopores are usually larger than magnetic nanoparticles.

Conclusions
All studied nanocomposites showed the presence of magnetic agglomerates. The parameters of magnetic resonance strongly depended on the modification processes. Oxygen reduction significantly increased the number of magnetic moments, which caused crucial changes in the reorientation and relaxation processes. Many localized magnetic centers were observed at low temperatures because resonant lines from magnetic agglomerates are usually more intense at high temperatures. In titania modified with various forms of graphene, the localized ferromagnetic ordering was observed at room temperature. The nanocomposites can also be used in spintronics, thanks to the coexistence of ferromagnetic ordering and electric conduction. The formation of magnetic agglomerates can adversely affect the ordering processes of magnetic moments. Localized oxygen vacancies magnetic centers can essentially influence catalytic and photocatalytic processes.