Nanomaterials are commonly defined as materials with an average grain size less than 100 nanometres and at least one dimension in the nanometre range [1] - [3] . Nano-sized particles exist in nature and can be created from a variety of elements, minerals or products [4] . These types of materials are considered to be in a unique class. Nanostructured materials have many forms and can be in zero dimension (e.g. Quantum Dots [5] ), one dimension (e.g. surface films), two dimensions (e.g. strands or fibres [6] ) or three dimensions (e.g. particles). The general method of synthesis can be classed as either top-down or bottom-up [7] and synthesis implementation methods can be chemical, physical or mechanical [8] [9] . Gold nanoparticles (AuNPs) were synthesized by chemical methods via the reduction of tetrachloroauric acid (HAuCl₄) with tri-sodium citrate in an aqueous solution by Verma et al. (2014) [10] . Photocatalysis increases the rate of a chemical reaction due to the participation of an additional substance called a catalyst [11] . The role of AuNPs in catalysis applications drastically changed at the end of the 1980s, when Haruta and co-workers were able to prepare small gold particles supported on oxides and discovered these were catalytically active in CO oxidation at low temperatures [12] . Lin et al. (2013) used NaBH₄ as a reducing agent to prepare AuNPs and studied the effect of nanoparticle sizes in the catalytic reduction of 4-Nitrophenol [13] . They prepared their nanoparticles in a different method and obtained 1.7 - 8.2 nm AuNPs. Their results obtained that the catalytic activity increased with decreasing size, with the best performance from 3.4 nm AuNPs. However, they observed that smaller particles, 1.7 nm AuNPs, deviated from this trend. Seoudi and Said (2011) prepared AuNPs at 10 nm, 9 nm and 11 nm using sodium citrate, cetyltrimethylammonium bromide (CTAB), and chitosan as capping materials. The catalytic activities of AuNPs were studied for 4-Nitrophenol reduction by NaBH₄ as a model reaction. They concluded that AuNPs catalyzed the electron transfer process between and nitro compounds with all the capping materials used AuNPs capped by chitosan was more active for the reduction than the other two [14] . AuNPs have been more recently tested in hydrogenation reactions and it seems that they are also very promising catalysts for these types of reactions due to their high selectivity in C=C and C=O bond hydrogenation [15] . In this work, AuNPs of different sizes were prepared using different molar ratios of tri-sodium citrate (Na₃C₆H₅O₇) as a stabilizing agent. The effect of this stabilizing agent on the particle size and plasmon bands was investigated using TEM and UV-VIS measurements. The prepared samples were used in the reduction of 4-Nitrophenol (4-NP) to 4-Aminophenol (4-AP) using NaBH₄ as a model reaction to clarify the effect of particle size on reduction dependence.

Figure 1 shows the transmission electron microscopy (TEM) images of AuNPs prepared with different molar ratios of trisodium citrate. All the nanoparticles synthesized were roughly spherical in shape and morphologies were irregularly distributed in two of the samples (S1 and S3) and regularly distributed in sample S2. The diameter of the particles was measured using a millimetre scale and the number of particles within a bin of 5 mm with different average diameters was counted [16] . It was noted that the particle size decreased with decreasing concentration of tri-sodium citrate. The results agree with the previous work of Zabetakis et al. (2012) [17] . The negatively charged layer of citrate ions act as electrostatic stabilization and it is prevent the agglomeration of AuNPs. Lower level of citrate favor increased growth/agglomeration of the nanoparticles. Aggregated species can be attributed to the rapid reduction of AuIII by large excess of citrate. So that strongly reduction nature of tri-sodium citrate inducing rapid nucleation is followed by agglomeration rather than an extended particles growth phase. The average size of the Au nanoparticles was found to be ≈4 nm, 7 nm and 11 nm for samples S1, S2 and S3, respectively. TEM measurements of the three AuNPs samples exhibit a narrow size polydisprisity and it decrease with increasing the particle sizes due to the seeding growth process and sefl-focusing formation of AuNPs. Moreover the size polydispersity changed with the change of trisodium citrate concentrations. Figure 2 shows the UV-VIS absorption spectra of the gold nanoparticles synthesized with different particle sizes: 4 nm (S1), 7 nm (S2) and 11 nm (S3). From this figure we see that a sharp peak was observed at three wavelengths (512, 513 and 514 nm) for the three samples (S1-S3), respectively. The band shifted to a higher wavelength with increasing size of the nanoparticle due to the quantum size effect. These bands are assigned to the surface plasmon band of the gold nanoparticles and distinguished by their red color. It can be seen that the position and width of the SRP bands dependent on the size and polydispersity that affected by the molar ration of the reactant. These bands express a collective oscillation frequency for the electrons in the conduction band. The electrons submitted to these sizes of AuNPs are much smaller than the incident wavelength of the light. In this case, the electric field induced by light is constant and the electrons submit to the electromagnetic field and propagate like a plasmon wave. Considering that the atoms’ nuclei are still, the oscillation of the electrons leads to a periodic charge separation and generates oscillating dipoles whose magnitude reaches a maximum at the nanoparticles’ surface. At resonance, the amplitude of the local electric field in the particle, E₁, is enhanced compared to that of the applied field E_o. The optical excitation of the SPR that described a collective oscillation of the conduction electrons of the AuNPs appears as a broad absorbance bands. This is because the coupling of incident electromagnetic radiation into a surface plasmon happened at the interface between the particle and the medium surrounding the particle. As well as, large bandwidth of the plasmon can be associated with the dephasing of the coherent electron oscillation and corresponds to the rapid loss of the coherent electron motion which

strongly suggests that the main relaxation process involves electron ± electron collisions [18] . Figure 3 illustrate the effect of nanoparticle on the surface plasmon band. Figure 4 shows the UV-VIS spectra of the 4-NP (2 mmol) with and without NaBH₄. The spectrum of 4-NP without NaBH₄ shows one band at 317 nm. This band is assigned to n-π^* transition owing to a lone pair of electrons (from oxygen and nitrogen atoms) in the 4-NP molecular structure. This peak was red shifted to 400 nm after adding 0.03 M NaBH₄. The solution’s color also changed from light yellow to yellow-green. This peak indicated the formation of 4-Nitrophenolate ions. This band showed a slight decrease with an increase in the time of reduction and become stable after 45 minutes, remaining unaltered even after a couple of days. These results indicate that the 4-NP was not reduced to 4-AP. These data agree with the previous work of polydispersity et al. [19] . The catalytic activity of AuNPs that were 4 nm (S1), 7 nm (S2) and 11 nm (S3) in diameter was monitored by measuring the UV-Vis spectrum of 4-NP in the 200 - 600 nm range at different times in the presence of NaBH₄. The number of gold atoms was calculated in all samples; for S1 (4 nm) as; radius r = 4 nm = 4e⁻⁹ m = 4e⁻⁷ cm, volume = V = (4/3) π r3 = 2.86e⁻¹⁹ cc, density = ρ = 19.3 g/cc, mass = v x ρ = 5.52e⁻¹⁸ g, No of moles N = Mass/Atomic weight = 5.52e⁻¹⁸/197 = 2.8e⁻²⁰ gram- moles, No of atoms = N x Avogadro’s number = 2.8e⁻²⁰ gram-moles x 6.022e⁺²³ atoms/gram-mole = 16861.6 = 16,862

atoms approximately. Also, the number of gold atoms was calculated for the last two samples S2 (7 nm) and S3 (11 nm) by the same method at 84,721 and 323,649, respectively. Figure 5 shows the reduction in the absorption spectra for the samples containing 200 µL of 4-NP (2 mmol), 1 mL of NaBH₄ (0.03 M) mixed with 2 mL of deionized water, and 300 µL of AuNPs that were 4 nm (S1), 300 μL of (S2) 7 nm and 300 μL of (S3) 11 nm in diameter. For S1, the absorption spectrum peak at 400 nm decreased gradually with time. It took approximately 300 seconds for the reduction peak to be observed. This period is usually ascribed to the diffusion time needed for adsorption of 4-NP onto the surface of the gold nanoparticles. A new band then appeared at about 295 nm. This decrease may be due to the decrease in 4-NP concentration and the new band is due to the formation of AP. The formation of this new band may be explained as follows. Firstly the NaBH₄ reduces water to hydrogen as shown by the reaction:

The reduction reaction is carried out by the hydrogen and involves the production of hydrogen gas that is seen in the form of bubbles. The continuous reduction in the intensity of the peak at 400 nm shows the consumption of 4-NP. The reaction mechanism can be reasoned by the inherent hydrogen adsorption by AuNPs. The AuNPs shuttle the hydrogen transport between NaBH₄ and 4-NP. This behaviour may be explained since AuNPs adsorb

hydrogen from the NaBH₄ and efficiently release it during the reduction reaction and hence AuNPs act as a hydrogen carrier in this reduction reaction. The same behaviour was seen for the reduction of 4-NP in the presence of 300 μL of AuNPs in samples S2 and S3, except that the time of the reduction changed. In S2, as in S1, the absorption peak at 400 nm decreased with increasing time of reduction and a new band appeared at about 295 nm, indicating the formation 4-AP. In sample S3, the absorption peak at 400 nm took a long time to occur and this is may have been due to the incomplete consumption of 4-NP. In addition, the intensity of the absorption band at 295 nm was very low. These results indicate that 4-NP did not completely transform into 4-AP in S3. It is well known that, the applications of gold nanoparticles in the catalytic application depend on the number of gold atoms on surface of nanoparticle and the sample has a larger number of atoms in the surface is more catalytic activity. Sample S1 is more active due to it has a small number of gold atom (16,862) than S2 (84,721) and S3 (323,649) that mean it has a large number on the surface so that it has a catalytic activity than S2 and S3. The mechanisms and forms of reduction reaction for the transformation of 4-NP to 4-AP are shown in Figure 6. In this figure, two different coloured solutions are seen: one is the yellow color that distinguishes 4-NA, and the other is the reduced colourless product 4-AP. Figure 7 shows the kinetic curve of 4-NP reduction by AuNPs 4 nm (S1), 7 nm (S2) and 11 nm (S3) in diameter in the presence of NaBH₄. The reaction rate constant was obtained by calculating the decrease in the absorption peak intensity at 400 nm with increasing time. In this figure, this is shown as a linear relation between ln (A/A_o) versus time. Since there was an excess of the reducing agent (so the concentration of sodium borohydride can be considered constant), the change in the ratio (A/A_o) with time corresponds to a first order reaction kinetics equation. The reduction reaction can therefore be directly calculated from the linear relation between ln (A/A_o) and time:

where A_o is the initial absorbance of the reaction system, A is absorbance at time t, and k is the rate constant of the chemical reduction. From this kinetic curve, the rate constant (k, s⁻¹) was calculated at 0.014 s⁻¹, 0.0091 s⁻¹

and 0.003 s⁻¹ for the AuNPs of diameter 4 nm, 7 nm and 11 nm (in S1, S2 and S3, respectively). By comparing the rate constants of 4-NP (0.014 k, s⁻¹, 0.0091 k, s⁻¹ and 0.003 k, s⁻¹) in the presence of different sizes of AuNPs (4 nm, 7 nm and 11 nm), it was seen that, S1, which contained 4 nm AuNPs, has more catalytic activity due to the weak interaction between 4-NP and the gold nanoparticles with higher particles sizes. The reduction of 4NP by S1 and S2 can be related to the Langmuir-Hinshelwood model of heterogeneous catalysed reduction [20] . According to this model, borohydride ions are adsorbed onto the surface of the nanoparticles and give them the electrons. At the same time, molecules of 4-NP adsorbed onto the surface of AuNPs are reduced by these electrons. After reduction, the reaction product 4ـAP is desorbed from the gold surface.

In this study, we prepared AuNPs of different sizes by a simple chemical method. The results of UV-VIS measurements showed that the surface plasmon resonance bands depended on the particle size. The prepared samples were used to reduce 4-NP, confirming that smaller nanoparticles were more active in the reduction process. The rate constant of chemical reduction was calculated for each sample and this decreased with increasing particle size. The catalytic activity of the nanoparticles can be affected and increased directly by increasing the ratio of the number of atom on the surface to volume. This ratio was increased with decreasing the particle size, so the small AuNPs size was more active in the reduction process.

Rozik, A.S., Tolba, A.S. and El-Dosuky, M.A. (2016) Design and Implementation of the Sense Egypt Platform for Real-Time Analysis of IoT Data Streams. Advances in Internet of Things, 6, 65-91. http://dx.doi.org/10.4236/ait.2016.64005