Effect of Thermal and Gold Nanoparticles on the Optoelectronic Properties of Graphene Oxide

Effect of Thermal and Gold Nanoparticles on the Optoelectronic Properties of Graphene Oxide | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Effect of Thermal and Gold Nanoparticles on the Optoelectronic Properties of Graphene Oxide Majid Taheri, Zohreh Feizabadi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8145670/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 15 Feb, 2026 Read the published version in Scientific Reports → Version 1 posted 11 You are reading this latest preprint version Abstract In this study, the effect of temperature and gold nanoparticles on the optoelectronic properties of thin graphene oxide films was investigated. Gold nanoparticles were synthesized using the laser ablation method in water and mixed with a graphene oxide solution to form a graphene oxide/gold nanocomposite. This nanocomposite was then deposited onto glass substrates and subsequently reduced through a thermal process, allowing gold nanoparticles to be positioned effectively between the reduced graphene oxide layers. The samples were characterized using UV-Vis spectroscopy, Fourier-transform infrared spectroscopy, and scanning electron microscopy. The results showed that the presence of gold nanoparticles and thermal treatment significantly enhanced the optical response of the layers, particularly under the illumination of a 405 nm wavelength laser. Specifically, reduced graphene oxide and graphene oxide reduced/gold nanocomposite exhibited superior optical performance compared to other samples. These findings strengthen the potential use of the graphene oxide reduced/gold nanocomposite in optical sensors and optoelectronic devices with improved performance. Physical sciences/Materials science Physical sciences/Nanoscience and technology Physical sciences/Optics and photonics Physical sciences/Physics Thin film Optical sensor Laser irradiation Nanoparticles Optoelectronic properties Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 1. Introduction Reduced graphene oxide (rGO) is a significant derivative of graphene, obtained through the reduction of graphene oxide (GO). The reduction of GO is a process in which oxygen functional groups are removed or significantly reduced, resulting in a structure similar to graphene [1-3]. This reduction process can be achieved using chemical, thermal, or electrochemical methods. Generally, there are three types of reduction methods for GO: thermal reduction, chemical reduction, and multi-step reduction. Thermal reduction can be carried out using thermal radiation, microwave irradiation, photon irradiation, or other unconventional heat sources. Among these methods, thermal reduction via thermal radiation is a low-cost method that has attracted much attention from researchers to reduce functional groups from the surface of graphene oxide [4-6]. Graphene oxide and rGO exhibit distinct chemical and structural properties due to differences in their chemical compositions. The most important difference between GO and rGO is their electrical conductivity. While graphene oxide exhibits insulating or semiconducting behavior, reduced graphene oxide is considered a transparent two-dimensional electrical conductor. The difference in conductivity between GO and rGO allows for diverse applications, including energy storage applications [7], sensors [8], supercapacitors [9], solar cells [10], and biomedical applications [11, 12]. In reduced graphene oxide, carbon sheets tend to stack due to van der Waals interactions, limiting the full utilization of their effective surface area. One strategy to increase the spacing between these carbon sheets is to use metal nanoparticles (NPs) such as silver (Ag), platinum (Pt), and gold (Au) [13]. Adding these nanoparticles can significantly enhance the optical and electronic properties of rGO. Many studies have suggested that rGO functionalized with metal NPs is a promising candidate for optoelectronic applications such as solar cells, photodetectors, photocatalysis, surface-enhanced raman scattering (SERS), and gas sensors [14-19]. In the present study, the effects of thermal reduction and the presence of Au NPs on the optoelectronic properties of thin graphene oxide films were investigated. For this purpose, Au NPs were synthesized by pulsed laser ablation in a liquid (PLAL) method and subsequently added to a GO solution to produce the graphene oxide/gold (GO/Au) nanocomposite. The thin films of this nanocomposite were then deposited onto glass substrates and reduced through a thermal process. This heat treatment was specifically aimed at reducing the GO and allowing the Au NPs to find an appropriate position between the newly formed rGO sheets. The structural and optical characterization of the samples was performed using UV-visible spectroscopy and scanning electron microscopy (SEM). Additionally, the photodetector response of the fabricated thin films under 405 nm laser irradiation was studied to reveal the combined effect of thermal reduction and Au NPs on the improvement of the optoelectronic properties of GO. 2. Experimental Section In this study, to prepare the GO/Au nanocomposite, a method similar to previous studies [8, 18] was followed. Initially, GO solution was prepared from 99.99% pure graphene oxide powder. For this purpose, 10 mg of GO powder was dispersed in 100 mL of deionized water (DI water) and sonicated for 30 min at room temperature, resulting in a solution with a concentration of 0.1 g/L. Then, this solution was mixed in a 2:1 ratio with a colloidal Au NPs solution, synthesized by pulsed laser ablation in liquid method, which had a concentration of 0.05 g/L. The mixture was sonicated for an additional 40 min to ensure the formation of a homogeneous GO/Au nanocomposite. For the synthesis of Au NPs by PLAL, in accordance with previous studies [20, 21], a gold plate was first cleaned by sonication in DI water, ethanol, and acetone for 5 min each to remove surface contaminants. After drying, the gold plate was weighed and placed into a glass vessel containing 10 mL of DI water. The gold plate was then irradiated with a Q-switched Nd:YAG laser operating at 1064 nm, with a pulse width of 18 ns. The Gaussian profile of the laser beam was focused onto the gold plate using a lens with a focal length of 50 cm. The laser parameters included an energy of 100 mJ/pulse and a spot size of about 300 µm. The ablation process was carried out for 10 min. Before irradiation, the weight of the gold plate was 1.0390 g, and after irradiation, it was 1.0385 g. The resulting Au NPs solution had a concentration of 0.05 g/L. For the preparation of the thin GO/Au nanocomposite films, glass substrates were used. The substrates were first washed and immersed in a mixture of water and detergent at 110 °C for 10 min. Afterward, they were rinsed with DI water and sonicated sequentially in DI water, ethanol, and acetone for 10 min each. The substrates were then treated in piranha solution (7:3 H 2 SO 4 :H 2 O 2 mixture) for 40 min. After washing with DI water, the substrates were dried in an oven at 80°C and subsequently treated with triethoxysilane solution for 2 h. After a final rinse, the substrates were dried at the same temperature. In this study, the GO/Au nanocomposite was deposited onto glass substrates using the centrifugation method. The glass substrates were placed in the prepared solution, and the centrifuge was operated at 6000 rpm for 7 min to ensure uniform distribution of the nanoparticles on the substrate surface. After the deposition process, the samples were dried in an oven at 80 °C for 10 min. In the final stage, the thin nanocomposite films were thermally reduced at 150 °C for graphene oxide reduction. This process was performed with a temperature ramp rate of 1.25 °C/min, and after 2 h of heating, the samples were gradually cooled to room temperature. The optical, structural, and electrical properties of the thin films were characterized using various instruments, including UV-visible spectroscopy, Fourier-transform infrared (FTIR) spectroscopy, scanning electron microscopy, and current-voltage (I-V) measurements with a two-point probe system. The absorption spectra of the samples were recorded using a PerkinElmer LAMBDA 25 UV-visible spectrometer in the range of 200–800 nm. The functional groups in the samples were analyzed using a Bruker-Vector22 FTIR spectrometer. The surface morphology of the thin films and elemental analysis (EDS) were studied using a Phillips XL30 scanning electron microscope. The photo-response of the films under 405 nm CW laser irradiation with a power of 50 mW at bias voltages ranging from 5 to 35 V was examined. Changes in the current under both illuminated and dark conditions were recorded using a Keithley Source Meter 2450 coupled with a two-point probe system. 3. Result and Discussion Figure 1 shows the UV-visible absorption spectra of the Au NPs solution synthesized by the PLAL method, GO solution, and GO/Au nanocomposite solution. As shown, Au NPs in an aqueous environment exhibit a distinct absorption peak around 522 nm, corresponding to the surface plasmon resonance (SPR) [20]. The absorption spectrum of the GO solution, with a concentration of 0.1 g/L reveals a sharp absorption peak at 230 nm, corresponding to the π→π * transition in C=C bonds, and an absorption edge around 300 nm, corresponding to the n→π * transition in C=O bonds [8]. In the absorption spectrum of the GO/Au nanocomposite, the absorption peaks corresponding to GO (230 and 300 nm) and Au NPs (522 nm) are simultaneously observed. The characteristic peak at 522 nm confirms the presence of Au NPs between the graphene oxide layers, which has also been confirmed by the FTIR spectroscopy results. Figure 2(a) shows the UV-visible absorption spectra of GO and GO/Au nanocomposite films, before and after the annealing treatment, respectively. Since the glass substrate used exhibits strong absorption below 300 nm, measurements were conducted for wavelengths higher than 300 nm. For better comparison, the absorption spectrum of the thin gold film is also presented. As observed, the GO film, both before and after annealing, shows no absorption peaks in the wavelength range of 500 to 600 nm. In contrast, the GO/Au nanocomposite film, before and after annealing, exhibits a distinct absorption peak in the 530 to 540 nm range, corresponding to the surface plasmon resonance (SPR) absorption of the Au NPs. Furthermore, comparing the absorption spectrum of the thin gold film with that of the Au NPs colloidal solution shows that the absorption peak of the thin gold film appears around 670 nm, which has shifted to longer wavelengths compared to the colloidal solution peak (around 522 nm). This redshift is attributed to the aggregation of Au NPs and the increase in cluster size. In addition, the broader absorption peak of the thin gold film indicates a wider size distribution and larger particles. Notably, the absorption peak of the GO/Au nanocomposite film, before and after annealing (540 nm), is lower than the absorption peak of the thin gold film (670 nm). All these results indicate the successful formation of the GO/Au nanocomposite and the positioning of Au NPs between the graphene oxide sheets. To better understand the variations in absorption intensity at different wavelengths, a 3D representation of the absorption spectra from Figure 2(a) is shown in Figure 2(b). This 3D display allows for a more detailed observation of the absorption trends in the different samples and provides a clearer visual comparison between the graphene oxide, graphene oxide/gold nanocomposite, and thin gold films. As can be observed, the presence of Au NPs leads to an increase in optical absorption in the visible range and alters the absorption intensity distribution near the SPR peak, confirming the effective light interaction between the Au NPs and the GO sheets. To confirm the reduction of oxygen functional groups in the GO structure and to investigate the formation of the nanocomposite, FTIR spectroscopy was employed. The FTIR transmission spectra of the thin films of graphene oxide, reduced graphene oxide, graphene oxide/gold nanocomposite, and reduced graphene oxide/gold nanocomposite are shown in Figure 3. In all the samples, the peak observed around 3400 cm⁻¹ is attributed to the presence of hydroxyl (O-H) groups. The weak peak in the 2900 cm⁻¹ region can be assigned to the symmetric stretching vibrations of the C-H bonds in alkyl groups. The peaks at 1720 cm⁻¹ and 1620 cm⁻¹ correspond to the stretching vibrations of C=O (carbonyl/carboxyl groups) and C=C bonds, respectively, which are primarily present at the edges of the graphene oxide sheets. Furthermore, the absorption bands near 1400 cm⁻¹, 1230 cm⁻¹, and 1050 cm⁻¹ are related to the C-O vibration modes (epoxy and alkoxy groups) [4, 8, 18]. As observed in Figure 3, upon applying the thermal reduction process and adding Au NPs, these peaks diminish and, in some cases, completely disappear. These changes indicate the reduction of oxygen functional groups and, consequently, the successful formation of the reduced graphene oxide/gold nanocomposite. To investigate surface morphological changes and confirm the formation of the nanocomposite, SEM images were utilized. Figure 4 shows the SEM images of the thin films of graphene oxide, graphene oxide/gold nanocomposite, reduced graphene oxide, and reduced graphene oxide/gold nanocomposite. Figure 4(a) illustrates the structure of GO thin film, which are arranged next to each other to form a relatively uniform network. The relative transparency of the thin film indicates the presence of single- or few-layer GO sheets. Figure 4(b) presents the SEM image of GO/Au nanocomposite, where Au NPs are distributed as bright spots between the GO sheets, suggesting effective bonding between the metal particles and the graphene oxide matrix. Figure 4(c) shows the SEM image of rGO thin film, which exhibits a flake-like and crumpled structure, indicating the formation of multilayer sheets after the reduction process. The lateral size of these sheets varies from a few tens of nanometers up to several micrometers. Finally, Figure 4(d) shows the rGO/Au thin film, where a collection of bright spots is observed on the graphene oxide nanosheets. These bright spots correspond to Au NPs, which are distributed irregularly between the rGO sheets. This non-uniform distribution may result from the random attachment of Au NPs to the remaining functional groups on the rGO surface, a phenomenon also reported in similar studies on the formation of rGO/Au nanocomposites [18, 22]. Figure 5 presents the EDS results of the thin films of GO, GO/Au, rGO, and rGO/Au nanocomposite. In the spectra of all four samples, peaks related to carbon (C) and oxygen (O) are observed at approximately 0.28 keV and 0.58 keV, respectively, confirming the carbon-based structure and the presence of oxygen functional groups within the graphene oxide matrix. Upon the addition of Au NPs, a distinct peak appears in the EDS spectrum around 2.17 keV. This signal is characteristic of the Au, confirming the successful presence of Au NPs in the Au-containing samples (GO/Au and rGO/Au). The appearance of this peak in the GO/Au and rGO/Au samples, along with the relative decrease in the oxygen signal intensity, indicates the successful bonding and distribution of Au NPs among the GO sheets, thereby confirming the formation of the rGO/Au nanocomposite [18, 23]. According to the EDS analysis, Table 1 summarizes the elemental composition of the prepared samples based on the atomic percentage of their constituent elements. As observed, the carbon-to-oxygen (C/O) ratio in GO is 1.76, indicating the presence of a significant amount of oxygen functional groups within its structure. Upon thermal reduction of GO (forming rGO), the oxygen content decreases from 36.21% to 32.75%, while the C/O ratio increases to 2.05, confirming the partial removal of oxygen functional groups and the recovery of the graphene structure. In the samples containing Au NPs, the appearance of Au peaks with atomic percentages of 0.36% and 0.43% demonstrates the successful incorporation of gold onto the GO and rGO substrates. Furthermore, the increase in the C/O ratio, particularly the value of 3.73 observed for the rGO/Au nanocomposite, suggests that Au NPs play a facilitating role in the reduction process and contribute to enhancing the surface conductivity of the films [14]. Table 1. Elemental composition of GO, GO/Au, rGO and rGO/Au thin films based on EDS atomic percentage (%). Ratio C/O Au(%) O(%) C(%) sample 1.76 - 36.21 63.79 GO 3.07 0.36 24.45 75.19 GO/Au 2.05 - 32.75 67.25 rGO 3.73 0.43 21.06 78.51 rGO/Au Figure 6 presents the current–voltage (I–V) curves of the fabricated thin-film. Figure 6(a) shows the electrical behavior of GO and the GO/Au nanocomposite thin film. The curves for both samples exhibit semiconducting behavior, where the current increases with applied voltage, from approximately 0.015 to 1 nA for GO and from 0.02 to 0.6 nA for GO/Au as the voltage increases from 5 to 38 V. These very low current values confirm the intrinsic poor electrical conductivity of GO, which is due to the abundance of oxygen functional groups and the interruption of the conjugated π network, and consequently the limitation of charge transport. The nonlinear nature of the I–V curves indicates that the charge transport may occur through mechanisms such as interlayer tunneling or hopping conduction between localized states [24–26]. Furthermore, the slightly lower current observed for the GO/Au nanocomposite compared to GO can be attributed to the non-uniform distribution of Au NPs, as confirmed by SEM images, which introduce additional potential barriers and scattering centers for charge carriers. These Au NPs may locally modify the surface potential, thereby disrupting in-plane conduction pathways [27]. In contrast, for the thermally reduced samples shown in Figure 6(b), the current increases by several orders of magnitude within the same voltage range. The current changes from 105 to 835 μA for rGO and from 48 to 377 μA for the rGO/Au nanocomposite. This remarkable enhancement in current clearly demonstrates that the reduction process effectively removes oxygen functional groups and restores the sp² carbon structure, leading to the formation of continuous and efficient conductive channels. However, the lower current of Au@rGO compared to rGO may result from two main factors: (1) the local aggregation of Au NPs, which enhances carrier scattering and increases contact resistance, and (2) local structural distortions and the formation of electron- and hole-rich regions due to Au and rGO interactions, which modifies the internal potential distribution and slow down carrier mobility [27]. This observation is consistent with the increasing C/O ratio obtained from the EDS analysis (Table 1), as the reduction of oxygen and restoration of sp² carbon bonds significantly improve electrical conductivity. The nearly linear I–V behavior at high voltages for the reduced samples suggests predominantly Ohmic conduction through well-connected conductive pathways. In contrast, the nonlinearity and strong voltage dependence in GO and Au@GO samples indicate transport dominated by interlayer barriers and oxygen defects. Overall, the results in Figure 6 reveal that thermal reduction and Au NPs loading have distinct effects on electrical conductivity. Thermal reduction substantially enhances conductivity, whereas Au loading, due to structural and aggregation effects, can lead to reduced current in certain cases. This trend agrees well with previous reports on rGO/Au nanocomposites and highlights that precise control over the nanoparticle concentration, size, and distribution is crucial for optimizing the optoelectronic properties of such nanostructures. In this study, it appears that the nanoparticle concentration or size has led to additional conduction barriers, while previous reports [18, 25] have shown that uniformly distributed Au NPs at optimal concentrations can reduce the percolation threshold and create conductive bridges, thereby increasing the overall conductivity. Therefore, fine-tuning the synthesis parameters is essential for achieving optimized optoelectronic performance in rGO/Au-based nanocomposites. Figure 7 shows the photo-response of the prepared thin-film samples under violet laser irradiation at 405 nm with a power of 50 mW and a bias voltage of 30 V. In this experiment, several parameters, such as stability, reversibility, repeatability, photocurrent, response time, and external quantum efficiency, were evaluated. In Figure 7(a), the photocurrent response of five different thin films: Au, GO, GO/Au, rGO, and rGO/Au, is presented. As seen, the Au, GO, and GO/Au thin films exhibit negligible response under laser illumination, confirming their limited photoconductive behavior. In contrast, the thermally reduced samples (rGO and rGO/Au) display a significant increase in photocurrent ( I ph =I light -I dark ). After approximately 40 s of illumination, the photocurrent reaches 33.3 μA for rGO and 12.4 μA for rGO/Au. When the laser is turned off, the current gradually decays back to its dark level within about 56 s, indicating a stable and reproducible photo-response. The smaller photocurrent observed in the rGO/Au film compared to rGO can be attributed to structural and local aggregation effects of Au NPs, which, as discussed in the I-V analysis, sometimes lead to a reduction in the nanocomposite's overall electrical conductivity. Figure 7(b) shows that the rGO thin film does not fully return to its initial dark current after the laser is turned off. In contrast, the rGO/Au nanocomposite thin film completely returns to its baseline current after the laser is extinguished, demonstrating the superior reversibility of this sample. The irreversible behavior in the rGO film can be attributed to the presence of surface defects, which can trap photo-induced carriers and hinder their recombination [28–30]. The significant enhancement in photo-response after thermal treatment confirms the substantial impact of the thermal reduction and the presence of Au NPs on both electrical conductivity and photo-response. The measurements, conducted over four cycles, showed nearly identical results, confirming the excellent repeatability of the experiment. Furthermore, the current decays rapidly and returns to a stable state after the laser is switched off for both the rGO and rGO/Au samples. These results demonstrate that both thermal reduction and Au NPs loading have significant effects on photodetector performance. While thermal reduction enhances conductivity by eliminating oxygen groups, Au NPs contribute to improved stability and photocarrier dynamics. However, in some cases, Au aggregation may reduce the overall conductivity due to increased electron scattering. Therefore, optimizing the nanoparticle concentration and dispersion is essential for achieving the best optoelectronic performance. Another crucial parameter for photodetector assessment is the responsivity ( R ). This parameter is defined as the ratio of the photocurrent to the incident laser power ( P ) [15, 31]: R=I ph /P (1) Based on the measured photocurrent values, the responsivity values for the rGO and rGO/Au thin films were approximately 0.67 mA/W and 0.25 mA/W, respectively. Responsivity of a detector is directly related to charge transport efficiency and the interfacial dynamics of the nanocomposite. In rGO, the thermally restored sp² carbon structure facilitates efficient carrier transport, leading to higher responsivity. In contrast, in Au@rGO, localized aggregation of Au NPs can reduce overall conductivity and limit charge movement across the film. The formation of potential barriers and scattering centers restricts carrier flow, thus lowering the photoresponse at the nanoscale [27, 32]. Another key performance parameter, the external quantum efficiency ( EQE ), represents the ratio of photogenerated charge carriers to incident photons and can be expressed as [31]: EQE=R (hc)/( eλ) (2) where h is Planck’s constant, c is the speed of light, e is the electron charge, and λ is the incident light wavelength. Based on the obtained responsivity values, the EQE for the rGO and rGO/Au films were estimated to be approximately 0.21% and 0.08%, respectively. These findings indicate that both responsivity and quantum efficiency strongly depend on thermal reduction and the presence of Au NPs, confirming their vital role in tuning the optoelectronic response of rGO-based photodetectors. The bias voltage plays a crucial role in determining the performance of photodetectors. Generally, increasing the bias voltage leads to a higher current flow through the device because a stronger electric field accelerates the carriers (electrons and holes), resulting in an overall increase in current. Therefore, to investigate the effect of bias voltage on the photocurrent and responsivity, both dark current ( I dark ) and light current ( I light ) were measured under 405 nm laser irradiation (50 mW) for bias voltages ranging from 5 to 35 V. The obtained results for the rGO and rGO/Au thin films are presented in Figure 8. As can be seen, for both samples, the current (both dark and light) increases with increasing bias voltage. For the rGO thin film, the dark current increases from 105.5 to 763.5 μA, while the ligth current increases from 114 to 797 μA. In comparison, for the rGO/Au nanocomposite film, the dark current increases from 48 to 346 μA and the ligth current from 51 to 358 μA, showing a relatively smaller enhancement in photocurrent. In the thermally reduced graphene oxide film, the increase in current with applied bias is mainly attributed to the restoration of the sp² carbon network during the reduction process, which facilitates the formation of continuous electron transport pathways and significantly improves conductivity. However, in the Au-decorated rGO nanocomposite, the smaller photocurrent enhancement can be explained by the aggregation of Au NPs, which may introduce localized scattering centers and potential barriers, thus hindering the free movement of charge carriers across the rGO sheets. Such effects of nanoparticle aggregation on carrier mobility and interfacial potential modulation have also been reported in similar nanocomposite systems. [27, 32]. The increase in both dark and light currents with higher bias voltage indicates enhanced electrical conductivity in both samples. However, the difference between the light and dark currents, defined as the photodetector's photocurrent ( I ph ), suggests a higher photo-response efficiency for rGO compared to Au@rGO. Figure 9 shows the variation of photocurrent and responsivity as a function of bias voltage for the rGO and Au@rGO thin films. As seen, both parameters initially increase with bias voltage and then tend to saturate. At higher bias voltages, the stronger electric field enhances carrier separation and reduces recombination probability, leading to a slight increase in photocurrent; however, at sufficiently high fields, the current tends to saturate due to the limited density of photogenerated carriers. Specifically, for rGO, the photocurrent rises from 8.3 to 33.5 µA, and the responsivity increases from 0.16 to 0.67 mA/W. In contrast, for Au@rGO, the photocurrent increases from 3 to 12.23 µA and the responsivity from 0.06 to 0.24 mA/W. The enhanced photocurrent, particularly in rGO, can be attributed to its improved electrical conductivity and enhanced photo-response, resulting from the restoration of the sp² carbon network and the removal of oxygen groups during thermal reduction. Thermal reduction and the addition of Au NPs have a significant impact on the response time of graphene oxide-based photodetectors. In Figure 10, a rapid increase in photocurrent is observed immediately after laser irradiation, followed by a slower rise in the rGO and rGO/Au nanocomposite samples. This increasing section can be fitted to an exponential function, as shown below, to estimate the rise time (τ rise ): I(t)=I dark + Ae −(t−b)/τ (3) where A and b are constants, and τ is the response time of the sample, defined as the time required for the current to reach 1/e of its saturation value. By fitting this function to the rising part of the curve, the rise time is calculated. Similarly, by fitting the function to the decay part of the curve, the fall time (τ fall ) is obtained. The rise times for rGO and rGO/Au were found to be approximately 11.12 and 9.87 s, respectively. Additionally, the fall times for these samples were approximately 10.27 and 10.57 s, respectively. As observed, the response time of the GO films is significantly dependent on both the thermal reduction process and the incorporation of Au NPs. To place the photo-response performance of our synthesized rGO and rGO/Au nanocomposite thin films in context with other reported structures, key figures of merit, including photocurrent ( I ph ), responsivity ( R ), external quantum efficiency ( EQE ), and response time ( τ ), are summarized in Table 2. As seen in the table, the rGO film exhibits a relatively fast response time, indicating a significant enhancement in its optical performance after thermal reduction. This improvement is attributed to the restoration of the sp² carbon structure, which facilitates the formation of continuous electron transport pathways, resulting in increased current flow. This effect clearly demonstrates the impact of thermal reduction. In contrast, although Au@rGO shows good photocurrent performance similar to rGO, its photocurrent is lower due to the aggregation of Au NPs. The aggregation of Au NPs can lead to increased scattering of charge carriers and the formation of barriers on the graphene surface, which affects charge transport and overall photoresponsivity. A comparison of these results with previous GO [29] clearly shows that the response time and photocurrent in these samples are lower than in rGO and Au@rGO, which is due to the presence of oxygen functional groups on the GO surface, which act as trapping sites and limit charge carrier mobility. Overall, the experimental results of this study indicate that both rGO and Au@rGO thin films exhibit relatively good performance, highlighting the positive effects of thermal reduction and the incorporation of Au NPs into the graphene structure in improving the optical properties of photodetectors. Table 2: Comparison of key performance parameters in photodetector systems based on GO and its derivatives. 4. Conclusion In summary, we successfully investigated the combined effects of thermal reduction and Au NPs incorporation on the structural, electrical, and electro-optical properties of GO thin films for photodetector applications. The structural analyses (UV-visble, FTIR, and EDS) confirmed the successful reduction of GO into rGO via thermal annealing, evidenced by the significant decrease in oxygen functional groups. The C/O ratio dramatically increased from 1.76 (in GO) to 3.73 (in rGO/Au), indicating a significant restoration of the sp² carbon network, which was facilitated by the Au NPs. SEM images confirmed the non-uniform distribution and aggregation of the Au NPs among the rGO sheets. The thermal reduction process was the primary factor leading to an increase in electrical conductivity by several orders of magnitude. However, the presence and aggregation of Au NPs slightly decreased the overall current flow in the nanocomposite, likely by creating additional scattering centers. The photo-response study demonstrated that the thermal reduction is crucial for creating a functional photodetector. The rGO film showed superior photocurrent (33.3 µA) and responsivity (0.67 mA/W), attributed to the recovered conductive pathways. Conversely, the rGO/Au film, while having a lower photoresponsivity (0.25 mA/W), exhibited superior reversibility and a slightly faster rise time (τ rise = 9.87 s), suggesting that the Au NPs introduce Schottky barriers that enhance charge separation and act as fast recombination centers, leading to rapid decay kinetics. The study confirms that rGO is a promising base material. While the thermal reduction is highly effective in enhancing conductivity and photo-response, future work must focus on optimizing the concentration and achieving a uniform dispersion of Au NPs to mitigate aggregation effects. This precise control is essential to fully exploit the plasmonic effects and interfacial dynamics of the nanocomposite for creating high-performance, stable, and reversible photodetectors. Declarations Acknowledgements The authors declare that they have no acknowledgements to report Funding No funding was received for this research. 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Q., et al., Direct electrochemistry of hemoglobin at a graphene gold nanoparticle composite film for nitric oxide biosensing. Sensors , 13 (6), 7492-7504 (2013). Tran, D. T., et al., rGO/persulfate metal-free catalytic system for the degradation of tetracycline: effect of reaction parameters. Materials Research Express , 7 (7), 075501 (2020). Wang, Y., et al., Percolation threshold and electrical conductivity of graphene-based nanocomposites with filler agglomeration and interfacial tunneling. Journal of Applied Physics , 118 (6), 065101 (2015). Feng, J., et al., Enhanced electrical conductivity of poly (methyl methacrylate) filled with graphene and in situ synthesized gold nanoparticles. Nano Futures , 2 (2), 025003 (2018). Yang, G., et al., Structure of graphene and its disorders: a review. Science and Technology of Advanced Materials , 19 (1), 613-648 (2018). Idisi, D. 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Zhu, W., et al., Gold enhanced graphene-based photodetector on optical fiber with ultrasensitivity over near-infrared bands. Nanomaterials , 12 (1), 124 (2021). An, J., et al., Single‐step selective laser writing of flexible photodetectors for wearable optoelectronics. Advanced Science , 5 (8), 1800496 (2018). Chang, H., et al., Regulating infrared photoresponses in reduced graphene oxide phototransistors by defect and atomic structure control. ACS Nano , 7 (7), 6310-6320 (2013). Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 15 Feb, 2026 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 23 Dec, 2025 Reviews received at journal 23 Dec, 2025 Reviews received at journal 08 Dec, 2025 Reviewers agreed at journal 03 Dec, 2025 Reviewers agreed at journal 02 Dec, 2025 Reviewers agreed at journal 01 Dec, 2025 Reviewers invited by journal 01 Dec, 2025 Editor assigned by journal 01 Dec, 2025 Editor invited by journal 01 Dec, 2025 Submission checks completed at journal 29 Nov, 2025 First submitted to journal 29 Nov, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Taheri","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+UlEQVRIiWNgGAWjYHCChAM8QIKBgbHxQUIFA4MBcVoSwFqaDR6cIU4LAwNECwOb4MM2IrToth94eODtD7s8funDbQyJ8w7Lm7M3H2D4UbENpxazMwkJB+ckJBdL9iW2PUjcdthwZ8+xBMaeM7dxazmQkHCYJ4E5ccMZxnYDoBbGDTdyDJgZ2/BoOf8ApKU+cf8ZxjaJxDmH7QlruQG25XDiBh6QlgYgg7CWB0C/pB1PnHEGGMgJx9KTN5w5lnAQr1/O5yR/eGNTndjfw/7w4Y8aa9sNx5sPPvhRgVsLOFKQQDOYPIBHPRCwo8jX4Vc8CkbBKBgFIxIAABjRaDU0jPe3AAAAAElFTkSuQmCC","orcid":"","institution":"Nuclear Science and Technology","correspondingAuthor":true,"prefix":"","firstName":"Majid","middleName":"","lastName":"Taheri","suffix":""},{"id":554245258,"identity":"9967afac-4c80-4a7b-8d64-ac733a5fc240","order_by":1,"name":"Zohreh Feizabadi","email":"","orcid":"","institution":"Shahid Beheshti University","correspondingAuthor":false,"prefix":"","firstName":"Zohreh","middleName":"","lastName":"Feizabadi","suffix":""}],"badges":[],"createdAt":"2025-11-18 12:53:25","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8145670/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8145670/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41598-026-39573-6","type":"published","date":"2026-02-15T15:57:06+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":97341673,"identity":"bc49505e-f3ff-4637-845d-e3b49c4db651","added_by":"auto","created_at":"2025-12-03 11:14:55","extension":"doc","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":17262080,"visible":true,"origin":"","legend":"","description":"","filename":"ManuscriptRev1.doc","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/81de49a9f6a68cd2472f4e17.doc"},{"id":97370480,"identity":"f7ef3290-a583-46c7-bc84-7790ec5f8e1f","added_by":"auto","created_at":"2025-12-03 16:27:28","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":3923,"visible":true,"origin":"","legend":"","description":"","filename":"99849969d59a425690303610fbc683a6.json","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/1b7701e9f3f8ad682fc05f6d.json"},{"id":97370321,"identity":"9b2f14e9-5962-4f5c-9503-1e7a05d3ac12","added_by":"auto","created_at":"2025-12-03 16:27:08","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":120282,"visible":true,"origin":"","legend":"\u003cp\u003eUV-visible absorption spectra of the Au NPs, GO, and GO/Au nanocomposite solution.\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/9d2142b12b91400184998294.png"},{"id":97341664,"identity":"ad9d3660-3d1a-4091-8633-e8318b8dcadb","added_by":"auto","created_at":"2025-12-03 11:14:55","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":158396,"visible":true,"origin":"","legend":"\u003cp\u003eUV-visible absorption spectra of the thin films: Au NPs, GO, rGO, GO/Au nanocomposite, and rGO/Au nanocomposite (a) 2D and (b) 3D.\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/250f7af7f3f16992457c33c5.png"},{"id":97341661,"identity":"11195c72-ee97-470a-ac36-3f5960266b89","added_by":"auto","created_at":"2025-12-03 11:14:55","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":231538,"visible":true,"origin":"","legend":"\u003cp\u003eFTIR transmittance spectra of GO, GO/Au nanocomposite, rGO, and rGO/Au nanocomposite thin films.\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/eea1127aeec6c26734cfa361.png"},{"id":97370749,"identity":"2055c693-2851-46a0-9bdc-0914dfd84cf7","added_by":"auto","created_at":"2025-12-03 16:27:51","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":472154,"visible":true,"origin":"","legend":"\u003cp\u003eSEM images of the thin films: (a) GO, (b) GO/Au nanocomposite, (c) rGO and (d) rGO/Au nanocomposite.\u003c/p\u003e","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/5863451099ff15da8ac35e88.png"},{"id":97341667,"identity":"25288ee4-4840-4b2b-a2cf-d46b298883de","added_by":"auto","created_at":"2025-12-03 11:14:55","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":76601,"visible":true,"origin":"","legend":"\u003cp\u003eEDS elemental analysis spectra for the thin films: (a) GO, (b) GO/Au, (c) rGO and (d) rGO/Au.\u003c/p\u003e","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/b13c47c6dfdb9e74b26dbe0d.png"},{"id":97370442,"identity":"b852d747-59f8-4e23-a49d-05e305bb83a4","added_by":"auto","created_at":"2025-12-03 16:27:23","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":65454,"visible":true,"origin":"","legend":"\u003cp\u003eI-V curve of the thin films: (a) GO and GO/Au, (b) rGO and rGO/Au.\u003c/p\u003e","description":"","filename":"6.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/9387353a7f97453f1bd25ebb.png"},{"id":97341662,"identity":"0d74d44f-179b-4df0-b6c6-b3c922981381","added_by":"auto","created_at":"2025-12-03 11:14:55","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":178460,"visible":true,"origin":"","legend":"\u003cp\u003ePhoto-response of various thin films under 405 nm laser irradiation at 50 mW power and 30 V bias voltage: (a) Photo-response comparison of all five samples, (b) Detailed reversibility plot for rGO and rGO/Au.\u003c/p\u003e","description":"","filename":"7.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/a7a37828db7a516428a3c6dd.png"},{"id":97341669,"identity":"d5f9f8ed-cb16-4d2b-b63a-194bd0eeaf1c","added_by":"auto","created_at":"2025-12-03 11:14:55","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":65028,"visible":true,"origin":"","legend":"\u003cp\u003eDark and light current profiles versus bias voltage for the thin films: (a) rGO and (b) rGO/Au.\u003c/p\u003e","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/ec9b50b5db0f5029417f9768.png"},{"id":97371264,"identity":"63dca0bd-4f27-4097-a190-bb5e05406047","added_by":"auto","created_at":"2025-12-03 16:28:38","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":59392,"visible":true,"origin":"","legend":"\u003cp\u003ePhotocurrent and Responsivity as a function of bias voltage for (a) rGO and (b) rGO/Au thin films.\u003c/p\u003e","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/d085e2421df753780f3238c4.png"},{"id":97341671,"identity":"d21cf4cf-958f-4ba8-af04-fce7f663e5db","added_by":"auto","created_at":"2025-12-03 11:14:55","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":98921,"visible":true,"origin":"","legend":"\u003cp\u003eResponse time \u0026nbsp;for (a) rGO and (b) rGO/Au thin films.\u003c/p\u003e","description":"","filename":"10.png","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/b30ed4a2a3fa1361266cd11b.png"},{"id":102785158,"identity":"a20b58f2-5da1-417c-83ca-416d4fd17ef9","added_by":"auto","created_at":"2026-02-16 16:00:30","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1890101,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8145670/v1/8130f93f-b41d-43d1-ae32-83fe23b30106.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Effect of Thermal and Gold Nanoparticles on the Optoelectronic Properties of Graphene Oxide","fulltext":[{"header":"1. Introduction","content":"\u003cp\u003eReduced graphene oxide (rGO) is a significant derivative of graphene, obtained through the reduction of graphene oxide (GO). The reduction of GO is a process in which oxygen functional groups are removed or significantly reduced, resulting in a structure similar to graphene [1-3]. This reduction process can be achieved using chemical, thermal, or electrochemical methods. Generally, there are three types of reduction methods for GO: thermal reduction, chemical reduction, and multi-step reduction. Thermal reduction can be carried out using thermal radiation, microwave irradiation, photon irradiation, or other unconventional heat sources. Among these methods, thermal reduction via thermal radiation is a low-cost method that has attracted much attention from researchers to reduce functional groups from the surface of graphene oxide [4-6]. \u003c/p\u003e\n\u003cp\u003eGraphene oxide and rGO exhibit distinct chemical and structural properties due to differences in their chemical compositions. The most important difference between GO and rGO is their electrical conductivity. While graphene oxide exhibits insulating or semiconducting behavior, reduced graphene oxide is considered a transparent two-dimensional electrical conductor. The difference in conductivity between GO and rGO allows for diverse applications, including energy storage applications [7], sensors [8], supercapacitors [9], solar cells [10], and biomedical applications [11, 12].\u003c/p\u003e\n\u003cp\u003eIn reduced graphene oxide, carbon sheets tend to stack due to van der Waals interactions, limiting the full utilization of their effective surface area. One strategy to increase the spacing between these carbon sheets is to use metal nanoparticles (NPs) such as silver (Ag), platinum (Pt), and gold (Au) [13]. Adding these nanoparticles can significantly enhance the optical and electronic properties of rGO. Many studies have suggested that rGO functionalized with metal NPs is a promising candidate for optoelectronic applications such as solar cells, photodetectors, photocatalysis, surface-enhanced raman scattering (SERS), and gas sensors [14-19].\u003c/p\u003e\n\u003cp\u003eIn the present study, the effects of thermal reduction and the presence of Au NPs on the optoelectronic properties of thin graphene oxide films were investigated. For this purpose, Au NPs were synthesized by pulsed laser ablation in a liquid (PLAL) method and subsequently added to a GO solution to produce the graphene oxide/gold (GO/Au) nanocomposite. The thin films of this nanocomposite were then deposited onto glass substrates and reduced through a thermal process. This heat treatment was specifically aimed at reducing the GO and allowing the Au NPs to find an appropriate position between the newly formed rGO sheets. The structural and optical characterization of the samples was performed using UV-visible spectroscopy and scanning electron microscopy (SEM). Additionally, the photodetector response of the fabricated thin films under 405 nm laser irradiation was studied to reveal the combined effect of thermal reduction and Au NPs on the improvement of the optoelectronic properties of GO.\u003c/p\u003e"},{"header":"2. Experimental Section","content":"\u003cp\u003eIn this study, to prepare the GO/Au nanocomposite, a method similar to previous studies [8, 18] was followed. Initially, GO solution was prepared from 99.99% pure graphene oxide powder. For this purpose, 10 mg of GO powder was dispersed in 100 mL of deionized water (DI water) and sonicated for 30 min at room temperature, resulting in a solution with a concentration of 0.1 g/L. Then, this solution was mixed in a 2:1 ratio with a colloidal Au NPs solution, synthesized by pulsed laser ablation in liquid method, which had a concentration of 0.05 g/L. The mixture was sonicated for an additional 40 min to ensure the formation of a homogeneous GO/Au nanocomposite. For the synthesis of Au NPs by PLAL, in accordance with previous studies [20, 21], a gold plate was first cleaned by sonication in DI water, ethanol, and acetone for 5 min each to remove surface contaminants. After drying, the gold plate was weighed and placed into a glass vessel containing 10 mL of DI water. The gold plate was then irradiated with a Q-switched Nd:YAG laser operating at 1064 nm, with a pulse width of 18 ns. The Gaussian profile of the laser beam was focused onto the gold plate using a lens with a focal length of 50 cm. The laser parameters included an energy of 100 mJ/pulse and a spot size of about 300 \u0026micro;m. The ablation process was carried out for 10 min. Before irradiation, the weight of the gold plate was 1.0390 g, and after irradiation, it was 1.0385 g. The resulting Au NPs solution had a concentration of 0.05 g/L.\u003c/p\u003e\n\u003cp\u003eFor the preparation of the thin GO/Au nanocomposite films, glass substrates were used. The substrates were first washed and immersed in a mixture of water and detergent at 110 \u0026deg;C for 10 min. Afterward, they were rinsed with DI water and sonicated sequentially in DI water, ethanol, and acetone for 10 min each. The substrates were then treated in piranha solution (7:3 H\u003csub\u003e2\u003c/sub\u003eSO\u003csub\u003e4\u003c/sub\u003e:H\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e2\u003c/sub\u003e mixture) for 40 min. After washing with DI water, the substrates were dried in an oven at 80\u0026deg;C and subsequently treated with triethoxysilane solution for 2 h. After a final rinse, the substrates were dried at the same temperature.\u003c/p\u003e\n\u003cp\u003eIn this study, the GO/Au nanocomposite was deposited onto glass substrates using the centrifugation method. The glass substrates were placed in the prepared solution, and the centrifuge was operated at 6000 rpm for 7 min to ensure uniform distribution of the nanoparticles on the substrate surface. After the deposition process, the samples were dried in an oven at 80 \u0026deg;C for 10 min. In the final stage, the thin nanocomposite films were thermally reduced at 150 \u0026deg;C for graphene oxide reduction. This process was performed with a temperature ramp rate of 1.25 \u0026deg;C/min, and after 2 h of heating, the samples were gradually cooled to room temperature.\u003c/p\u003e\n\u003cp\u003eThe optical, structural, and electrical properties of the thin films were characterized using various instruments, including UV-visible spectroscopy, Fourier-transform infrared (FTIR) spectroscopy, scanning electron microscopy, and current-voltage (I-V) measurements with a two-point probe system. The absorption spectra of the samples were recorded using a PerkinElmer LAMBDA 25 UV-visible spectrometer in the range of 200\u0026ndash;800 nm. The functional groups in the samples were analyzed using a Bruker-Vector22 FTIR spectrometer. The surface morphology of the thin films and elemental analysis (EDS) were studied using a Phillips XL30 scanning electron microscope. The photo-response of the films under 405 nm CW laser irradiation with a power of 50 mW at bias voltages ranging from 5 to 35 V was examined. Changes in the current under both illuminated and dark conditions were recorded using a Keithley Source Meter 2450 coupled with a two-point probe system.\u003c/p\u003e"},{"header":"3. Result and Discussion","content":"\u003cp\u003eFigure 1 shows the UV-visible absorption spectra of the Au NPs solution synthesized by the PLAL method, GO solution, and GO/Au nanocomposite solution. As shown, Au NPs in an aqueous environment exhibit a distinct absorption peak around 522 nm, corresponding to the surface plasmon resonance (SPR) [20]. The absorption spectrum of the GO solution, with a concentration of 0.1 g/L reveals a sharp absorption peak at 230 nm, corresponding to the \u0026pi;\u0026rarr;\u0026pi;\u003csup\u003e*\u003c/sup\u003e transition in C=C bonds, and an absorption edge around 300 nm, corresponding to the n\u0026rarr;\u0026pi;\u003csup\u003e*\u003c/sup\u003e transition in C=O bonds [8]. In the absorption spectrum of the GO/Au nanocomposite, the absorption peaks corresponding to GO (230 and 300 nm) and Au NPs (522 nm) are simultaneously observed. The characteristic peak at 522 nm confirms the presence of Au NPs between the graphene oxide layers, which has also been confirmed by the FTIR spectroscopy results.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; Figure 2(a) shows the UV-visible absorption spectra of GO and GO/Au nanocomposite films, before and after the annealing treatment, respectively. Since the glass substrate used exhibits strong absorption below 300 nm, measurements were conducted for wavelengths higher than 300 nm. For better comparison, the absorption spectrum of the thin gold film is also presented. As observed, the GO film, both before and after annealing, shows no absorption peaks in the wavelength range of 500 to 600 nm. In contrast, the GO/Au nanocomposite film, before and after annealing, exhibits a distinct absorption peak in the 530 to 540 nm range, corresponding to the surface plasmon resonance (SPR) absorption of the Au NPs. Furthermore, comparing the absorption spectrum of the thin gold film with that of the Au NPs colloidal solution shows that the absorption peak of the thin gold film appears around 670 nm, which has shifted to longer wavelengths compared to the colloidal solution peak (around 522 nm). This redshift is attributed to the aggregation of Au NPs and the increase in cluster size. In addition, the broader absorption peak of the thin gold film indicates a wider size distribution and larger particles. Notably, the absorption peak of the GO/Au nanocomposite film, before and after annealing (540 nm), is lower than the absorption peak of the thin gold film (670 nm). All these results indicate the successful formation of the GO/Au nanocomposite and the positioning of Au NPs between the graphene oxide sheets. To better understand the variations in absorption intensity at different wavelengths, a 3D representation of the absorption spectra from Figure 2(a) is shown in Figure 2(b). This 3D display allows for a more detailed observation of the absorption trends in the different samples and provides a clearer visual comparison between the graphene oxide, graphene oxide/gold nanocomposite, and thin gold films. As can be observed, the presence of Au NPs leads to an increase in optical absorption in the visible range and alters the absorption intensity distribution near the SPR peak, confirming the effective light interaction between the Au NPs and the GO sheets.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; To confirm the reduction of oxygen functional groups in the GO structure and to investigate the formation of the nanocomposite, FTIR spectroscopy was employed. The FTIR transmission spectra of the thin films of graphene oxide, reduced graphene oxide, graphene oxide/gold nanocomposite, and reduced graphene oxide/gold nanocomposite are shown in Figure 3. In all the samples, the peak observed around 3400 cm⁻\u0026sup1; is attributed to the presence of hydroxyl (O-H) groups. The weak peak in the 2900 cm⁻\u0026sup1; region can be assigned to the symmetric stretching vibrations of the C-H bonds in alkyl groups. The peaks at 1720 cm⁻\u0026sup1; and 1620 cm⁻\u0026sup1; correspond to the stretching vibrations of C=O (carbonyl/carboxyl groups) and C=C bonds, respectively, which are primarily present at the edges of the graphene oxide sheets. Furthermore, the absorption bands near 1400 cm⁻\u0026sup1;, 1230 cm⁻\u0026sup1;, and 1050 cm⁻\u0026sup1; are related to the C-O vibration modes (epoxy and alkoxy groups) [4, 8, 18]. As observed in Figure 3, upon applying the thermal reduction process and adding Au NPs, these peaks diminish and, in some cases, completely disappear. These changes indicate the reduction of oxygen functional groups and, consequently, the successful formation of the reduced graphene oxide/gold nanocomposite.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; To investigate surface morphological changes and confirm the formation of the nanocomposite, SEM images were utilized. Figure 4 shows the SEM images of the thin films of graphene oxide, graphene oxide/gold nanocomposite, reduced graphene oxide, and reduced graphene oxide/gold nanocomposite. Figure 4(a) illustrates the structure of GO thin film, which are arranged next to each other to form a relatively uniform network. The relative transparency of the thin film indicates the presence of single- or few-layer GO sheets. Figure 4(b) presents the SEM image of GO/Au nanocomposite, where Au NPs are distributed as bright spots between the GO sheets, suggesting effective bonding between the metal particles and the graphene oxide matrix. Figure 4(c) shows the SEM image of rGO thin film, which exhibits a flake-like and crumpled structure, indicating the formation of multilayer sheets after the reduction process. The lateral size of these sheets varies from a few tens of nanometers up to several micrometers. Finally, Figure 4(d) shows the rGO/Au thin film, where a collection of bright spots is observed on the graphene oxide nanosheets. These bright spots correspond to Au NPs, which are distributed irregularly between the rGO sheets. This non-uniform distribution may result from the random attachment of Au NPs to the remaining functional groups on the rGO surface, a phenomenon also reported in similar studies on the formation of rGO/Au nanocomposites [18, 22].\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; Figure 5 presents the EDS results of the thin films of GO, GO/Au, rGO, and rGO/Au nanocomposite. In the spectra of all four samples, peaks related to carbon (C) and oxygen (O) are observed at approximately 0.28 keV and 0.58 keV, respectively, confirming the carbon-based structure and the presence of oxygen functional groups within the graphene oxide matrix. Upon the addition of Au NPs, a distinct peak appears in the EDS spectrum around 2.17 keV. This signal is characteristic of the Au, confirming the successful presence of Au NPs in the Au-containing samples (GO/Au and rGO/Au). The appearance of this peak in the GO/Au and rGO/Au samples, along with the relative decrease in the oxygen signal intensity, indicates the successful bonding and distribution of Au NPs among the GO sheets, thereby confirming the formation of the rGO/Au nanocomposite [18, 23].\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;According to the EDS analysis, Table 1 summarizes the elemental composition of the prepared samples based on the atomic percentage of their constituent elements. As observed, the carbon-to-oxygen (C/O) ratio in GO is 1.76, indicating the presence of a significant amount of oxygen functional groups within its structure. Upon thermal reduction of GO (forming rGO), the oxygen content decreases from 36.21% to 32.75%, while the C/O ratio increases to 2.05, confirming the partial removal of oxygen functional groups and the recovery of the graphene structure. In the samples containing Au NPs, the appearance of Au peaks with atomic percentages of 0.36% and 0.43% demonstrates the successful incorporation of gold onto the GO and rGO substrates. Furthermore, the increase in the C/O ratio, particularly the value of 3.73 observed for the rGO/Au nanocomposite, suggests that Au NPs play a facilitating role in the reduction process and contribute to enhancing the surface conductivity of the films [14].\u003c/p\u003e\n\u003cp\u003eTable 1. Elemental composition \u0026nbsp;of GO, GO/Au, rGO and rGO/Au thin films based on EDS atomic percentage (%).\u003c/p\u003e\n\u003ctable dir=\"rtl\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp dir=\"LTR\"\u003eRatio C/O\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp dir=\"LTR\"\u003eAu(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 113px;\"\u003e\n \u003cp dir=\"LTR\"\u003eO(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 95px;\"\u003e\n \u003cp dir=\"LTR\"\u003eC(%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 147px;\"\u003e\n \u003cp dir=\"LTR\"\u003esample\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp dir=\"LTR\"\u003e1.76\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp dir=\"LTR\"\u003e\u003cspan dir=\"RTL\"\u003e-\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 113px;\"\u003e\n \u003cp dir=\"LTR\"\u003e36.21\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 95px;\"\u003e\n \u003cp dir=\"LTR\"\u003e63.79\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 147px;\"\u003e\n \u003cp dir=\"LTR\"\u003eGO\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp dir=\"LTR\"\u003e3.07\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp dir=\"LTR\"\u003e0.36\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 113px;\"\u003e\n \u003cp dir=\"LTR\"\u003e24.45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 95px;\"\u003e\n \u003cp dir=\"LTR\"\u003e75.19\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 147px;\"\u003e\n \u003cp dir=\"LTR\"\u003eGO/Au\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp dir=\"LTR\"\u003e2.05\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp dir=\"LTR\"\u003e\u003cspan dir=\"RTL\"\u003e-\u003c/span\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 113px;\"\u003e\n \u003cp dir=\"LTR\"\u003e32.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 95px;\"\u003e\n \u003cp dir=\"LTR\"\u003e67.25\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 147px;\"\u003e\n \u003cp dir=\"LTR\"\u003erGO\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd style=\"width: 66px;\"\u003e\n \u003cp dir=\"LTR\"\u003e3.73\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 104px;\"\u003e\n \u003cp dir=\"LTR\"\u003e0.43\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 113px;\"\u003e\n \u003cp dir=\"LTR\"\u003e21.06\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 95px;\"\u003e\n \u003cp dir=\"LTR\"\u003e78.51\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd style=\"width: 147px;\"\u003e\n \u003cp dir=\"LTR\"\u003erGO/Au\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;Figure 6 presents the current\u0026ndash;voltage (I\u0026ndash;V) curves of the fabricated thin-film. Figure 6(a) shows the electrical behavior of GO and the GO/Au nanocomposite thin film. The curves for both samples exhibit semiconducting behavior, where the current increases with applied voltage, from approximately 0.015 to 1 nA for GO and from 0.02 to 0.6 nA for GO/Au as the voltage increases from 5 to 38 V. These very low current values confirm the intrinsic poor electrical conductivity of GO, which is due to the abundance of oxygen functional groups and the interruption of the conjugated \u0026pi; network, and consequently the limitation of charge transport. The nonlinear nature of the I\u0026ndash;V curves indicates that the charge transport may occur through mechanisms such as interlayer tunneling or hopping conduction between localized states [24\u0026ndash;26]. Furthermore, the slightly lower current observed for the GO/Au nanocomposite compared to GO can be attributed to the non-uniform distribution of Au NPs, as confirmed by SEM images, which introduce additional potential barriers and scattering centers for charge carriers. These Au NPs may locally modify the surface potential, thereby disrupting in-plane conduction pathways [27].\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;In contrast, for the thermally reduced samples shown in Figure 6(b), the current increases by several orders of magnitude within the same voltage range. The current changes from 105 to 835 \u0026mu;A for rGO and from 48 to 377 \u0026mu;A for the rGO/Au nanocomposite. This remarkable enhancement in current clearly demonstrates that the reduction process effectively removes oxygen functional groups and restores the sp\u0026sup2; carbon structure, leading to the formation of continuous and efficient conductive channels. However, the lower current of Au@rGO compared to rGO may result from two main factors: (1) the local aggregation of Au NPs, which enhances carrier scattering and increases contact resistance, and (2) local structural distortions and the formation of electron- and hole-rich regions due to Au and rGO interactions, which modifies the internal potential distribution and slow down carrier mobility [27]. This observation is consistent with the increasing C/O ratio obtained from the EDS analysis (Table 1), as the reduction of oxygen and restoration of sp\u0026sup2; carbon bonds significantly improve electrical conductivity. The nearly linear I\u0026ndash;V behavior at high voltages for the reduced samples suggests predominantly Ohmic conduction through well-connected conductive pathways. In contrast, the nonlinearity and strong voltage dependence in GO and Au@GO samples indicate transport dominated by interlayer barriers and oxygen defects.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;Overall, the results in Figure 6 reveal that thermal reduction and Au NPs loading have distinct effects on electrical conductivity. Thermal reduction substantially enhances conductivity, whereas Au loading, due to structural and aggregation effects, can lead to reduced current in certain cases. This trend agrees well with previous reports on rGO/Au nanocomposites and highlights that precise control over the nanoparticle concentration, size, and distribution is crucial for optimizing the optoelectronic properties of such nanostructures. In this study, it appears that the nanoparticle concentration or size has led to additional conduction barriers, while previous reports [18, 25] have shown that uniformly distributed Au NPs at optimal concentrations can reduce the percolation threshold and create conductive bridges, thereby increasing the overall conductivity. Therefore, fine-tuning the synthesis parameters is essential for achieving optimized optoelectronic performance in rGO/Au-based nanocomposites.\u003c/p\u003e\n\u003cp\u003eFigure 7\u0026nbsp;shows the photo-response of the prepared thin-film samples under violet laser irradiation at 405 nm with a power of 50 mW and a bias voltage of 30 V. In this experiment, several parameters, such as stability, reversibility, repeatability, photocurrent, response time, and external quantum efficiency, were evaluated. In Figure 7(a), the photocurrent response of five different thin films: Au, GO, GO/Au, rGO, and rGO/Au, is presented. As seen, the Au, GO, and GO/Au thin films exhibit negligible response under laser illumination, confirming their limited photoconductive behavior. In contrast, the thermally reduced samples (rGO and rGO/Au) display a significant increase in photocurrent (\u003cem\u003eI\u003csub\u003eph\u003c/sub\u003e=I\u003csub\u003elight\u003c/sub\u003e-I\u003csub\u003edark\u003c/sub\u003e\u003c/em\u003e). After approximately 40 s of illumination, the photocurrent reaches 33.3 \u0026mu;A for rGO and 12.4 \u0026mu;A for rGO/Au. When the laser is turned off, the current gradually decays back to its dark level within about 56 s, indicating a stable and reproducible photo-response. The smaller photocurrent observed in the rGO/Au film compared to rGO can be attributed to structural and local aggregation effects of Au NPs, which, as discussed in the I-V analysis, sometimes lead to a reduction in the nanocomposite\u0026apos;s overall electrical conductivity. Figure 7(b) shows that the rGO thin film does not fully return to its initial dark current after the laser is turned off. In contrast, the rGO/Au nanocomposite thin film completely returns to its baseline current after the laser is extinguished, demonstrating the superior reversibility of this sample. The irreversible behavior in the rGO film can be attributed to the presence of surface defects, which can trap photo-induced carriers and hinder their recombination [28\u0026ndash;30].\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;The significant enhancement in photo-response after thermal treatment confirms the substantial impact of the thermal reduction and the presence of Au NPs on both electrical conductivity and photo-response. The measurements, conducted over four cycles, showed nearly identical results, confirming the excellent repeatability of the experiment. Furthermore, the current decays rapidly and returns to a stable state after the laser is switched off for both the rGO and rGO/Au samples. These results demonstrate that both thermal reduction and Au NPs loading have significant effects on photodetector performance. While thermal reduction enhances conductivity by eliminating oxygen groups, Au NPs contribute to improved stability and photocarrier dynamics. However, in some cases, Au aggregation may reduce the overall conductivity due to increased electron scattering. Therefore, optimizing the nanoparticle concentration and dispersion is essential for achieving the best optoelectronic performance.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;Another crucial parameter for photodetector assessment is the responsivity (\u003cem\u003eR\u003c/em\u003e). This parameter is defined as the ratio of the photocurrent to the incident laser power (\u003cem\u003eP\u003c/em\u003e) [15, 31]:\u003c/p\u003e\n\u003cp\u003e\u003cem\u003eR=I\u003csub\u003eph\u003c/sub\u003e/P\u003c/em\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; (1)\u003c/p\u003e\n\u003cp\u003eBased on the measured photocurrent values, the responsivity values for the rGO and rGO/Au thin films were approximately 0.67 mA/W and 0.25 mA/W, respectively. Responsivity of a detector is directly related to charge transport efficiency and the interfacial dynamics of the nanocomposite. In rGO, the thermally restored sp\u0026sup2; carbon structure facilitates efficient carrier transport, leading to higher responsivity. In contrast, in Au@rGO, localized aggregation of Au NPs can reduce overall conductivity and limit charge movement across the film. The formation of potential barriers and scattering centers restricts carrier flow, thus lowering the photoresponse at the nanoscale [27, 32].\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; Another key performance parameter, the external quantum efficiency (\u003cem\u003eEQE\u003c/em\u003e), represents the ratio of photogenerated charge carriers to incident photons and can be expressed as [31]:\u003c/p\u003e\n\u003cp\u003eEQE=R (hc)/( e\u0026lambda;) \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;(2)\u003c/p\u003e\n\u003cp\u003ewhere \u003cem\u003eh\u003c/em\u003e is Planck\u0026rsquo;s constant, \u003cem\u003ec\u003c/em\u003e is the speed of light, \u003cem\u003ee\u003c/em\u003e is the electron charge, and \u003cem\u003e\u0026lambda;\u003c/em\u003e is the incident light wavelength. Based on the obtained responsivity values, the \u003cem\u003eEQE\u003c/em\u003e for the rGO and rGO/Au films were estimated to be approximately 0.21% and 0.08%, respectively. These findings indicate that both responsivity and quantum efficiency strongly depend on thermal reduction and the presence of Au NPs, confirming their vital role in tuning the optoelectronic response of rGO-based photodetectors.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; The bias voltage plays a crucial role in determining the performance of photodetectors. Generally, increasing the bias voltage leads to a higher current flow through the device because a stronger electric field accelerates the carriers (electrons and holes), resulting in an overall increase in current. Therefore, to investigate the effect of bias voltage on the photocurrent and responsivity, both dark current (\u003cem\u003eI\u003csub\u003edark\u003c/sub\u003e\u003c/em\u003e) and light current (\u003cem\u003eI\u003csub\u003elight\u003c/sub\u003e\u003c/em\u003e) were measured under 405 nm laser irradiation (50 mW) for bias voltages ranging from 5 to 35 V. The obtained results for the rGO and rGO/Au thin films are presented in Figure 8. As can be seen, for both samples, the current (both dark and light) increases with increasing bias voltage. For the rGO thin film, the dark current increases from 105.5 to 763.5 \u0026mu;A, while the ligth current increases from 114 to 797 \u0026mu;A. In comparison, for the rGO/Au nanocomposite film, the dark current increases from 48 to 346 \u0026mu;A and the ligth current from 51 to 358 \u0026mu;A, showing a relatively smaller enhancement in photocurrent.\u003c/p\u003e\n\u003cp\u003eIn the thermally reduced graphene oxide film, the increase in current with applied bias is mainly attributed to the restoration of the sp\u0026sup2; carbon network during the reduction process, which facilitates the formation of continuous electron transport pathways and significantly improves conductivity. However, in the Au-decorated rGO nanocomposite, the smaller photocurrent enhancement can be explained by the aggregation of Au NPs, which may introduce localized scattering centers and potential barriers, thus hindering the free movement of charge carriers across the rGO sheets. Such effects of nanoparticle aggregation on carrier mobility and interfacial potential modulation have also been reported in similar nanocomposite systems. [27, 32].\u003c/p\u003e\n\u003cp\u003eThe increase in both dark and light currents with higher bias voltage indicates enhanced electrical conductivity in both samples. However, the difference between the light and dark currents,\u0026nbsp;defined as the photodetector\u0026apos;s photocurrent (\u003cem\u003eI\u003csub\u003eph\u003c/sub\u003e\u003c/em\u003e), suggests a higher photo-response efficiency for rGO compared to Au@rGO. Figure 9 shows the variation of photocurrent and responsivity as a function of bias voltage for the rGO and Au@rGO thin films. As seen, both parameters initially increase with bias voltage and then tend to saturate. At higher bias voltages, the stronger electric field enhances carrier separation and reduces recombination probability, leading to a slight increase in photocurrent; however, at sufficiently high fields, the current tends to saturate due to the limited density of photogenerated carriers. Specifically, for rGO, the photocurrent rises from 8.3 to 33.5 \u0026micro;A, and the responsivity increases from 0.16 to 0.67 mA/W. In contrast, for Au@rGO, the photocurrent increases from 3 to 12.23 \u0026micro;A and the responsivity from 0.06 to 0.24 mA/W. The enhanced photocurrent, particularly in rGO, can be attributed to its improved electrical conductivity and enhanced photo-response, resulting from the restoration of the sp\u0026sup2; carbon network and the removal of oxygen groups during thermal reduction.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; Thermal reduction and the addition of Au NPs have a significant impact on the response time of graphene oxide-based photodetectors. In Figure 10, a rapid increase in photocurrent is observed immediately after laser irradiation, followed by a slower rise in the rGO and rGO/Au nanocomposite samples. This increasing section can be fitted to an exponential function, as shown below, to estimate the rise time (\u0026tau;\u003csub\u003erise\u003c/sub\u003e):\u003c/p\u003e\n\u003cp\u003e\u003cem\u003eI(t)=I\u003csub\u003edark\u003c/sub\u003e + Ae\u003csup\u003e\u0026minus;(t\u0026minus;b)/\u0026tau;\u003c/sup\u003e\u003c/em\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;(3)\u003c/p\u003e\n\u003cp\u003ewhere A and b are constants, and \u0026tau; is the response time of the sample, defined as the time required for the current to reach 1/e of its saturation value. By fitting this function to the rising part of the curve, the rise time is calculated. Similarly, by fitting the function to the decay part of the curve, the fall time (\u0026tau;\u003csub\u003efall\u003c/sub\u003e) is obtained. The rise times for rGO and rGO/Au were found to be approximately 11.12 and 9.87 s, respectively. Additionally, the fall times for these samples were approximately 10.27 and 10.57 s, respectively. As observed, the response time of the GO films is significantly dependent on both the thermal reduction process and the incorporation of Au NPs.\u003c/p\u003e\n\u003cp\u003eTo place the photo-response performance of our synthesized rGO and rGO/Au nanocomposite thin films in context with other reported structures, key figures of merit, including photocurrent (\u003cem\u003eI\u003csub\u003eph\u003c/sub\u003e\u003c/em\u003e), responsivity (\u003cem\u003eR\u003c/em\u003e), external quantum efficiency (\u003cem\u003eEQE\u003c/em\u003e), and response time (\u003cem\u003e\u0026tau;\u003c/em\u003e), are summarized in Table 2. As seen in the table, the rGO film exhibits a relatively fast response time, indicating a significant enhancement in its optical performance after thermal reduction. This improvement is attributed to the restoration of the sp\u0026sup2; carbon structure, which facilitates the formation of continuous electron transport pathways, resulting in increased current flow. This effect clearly demonstrates the impact of thermal reduction. In contrast, although Au@rGO shows good photocurrent performance similar to rGO, its photocurrent is lower due to the aggregation of Au NPs. The aggregation of Au NPs can lead to increased scattering of charge carriers and the formation of barriers on the graphene surface, which affects charge transport and overall photoresponsivity. A comparison of these results with previous GO [29] clearly shows that the response time and photocurrent in these samples are lower than in rGO and Au@rGO, which is due to the presence of oxygen functional groups on the GO surface,\u0026nbsp;which act as trapping sites and limit charge carrier mobility.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;Overall, the experimental results of this study indicate that both rGO and Au@rGO thin films exhibit relatively good performance, highlighting the positive effects of thermal reduction and the incorporation of Au NPs into the graphene structure in improving the optical properties of photodetectors.\u003c/p\u003e\n\u003cp\u003eTable 2: Comparison of key performance parameters in photodetector systems based on GO and its derivatives.\u003c/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003cimg 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\" width=\"678\" height=\"711\"\u003e\u003c/p\u003e"},{"header":"4. Conclusion","content":"\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;In summary, we successfully investigated the combined effects of thermal reduction and Au NPs incorporation on the structural, electrical, and electro-optical properties of GO thin films for photodetector applications. The structural analyses (UV-visble, FTIR, and EDS) confirmed the successful reduction of GO into rGO via thermal annealing, evidenced by the significant decrease in oxygen functional groups. The C/O ratio dramatically increased from 1.76 (in GO) to 3.73 (in rGO/Au), indicating a significant restoration of the sp² carbon network, which was facilitated by the Au NPs. SEM images confirmed the non-uniform distribution and aggregation of the Au NPs among the rGO sheets. The thermal reduction process was the primary factor leading to an increase in electrical conductivity by several orders of magnitude. However, the presence and aggregation of Au NPs slightly decreased the overall current flow in the nanocomposite, likely by creating additional scattering centers.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;The photo-response study demonstrated\u0026nbsp;that the thermal reduction is crucial for creating a functional photodetector. The rGO film showed superior photocurrent (33.3 µA) and responsivity (0.67 mA/W), attributed to the recovered conductive pathways. Conversely, the rGO/Au film, while having a lower photoresponsivity (0.25 mA/W), exhibited superior reversibility and a slightly faster rise time (τ\u003csub\u003erise\u003c/sub\u003e = 9.87 s), suggesting that the Au NPs introduce Schottky barriers that enhance charge separation and act as fast recombination centers, leading to rapid decay kinetics.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;The study confirms that rGO is a promising base material. While the thermal reduction is highly effective in enhancing conductivity and photo-response, future work must focus on optimizing the concentration and achieving a uniform dispersion of Au NPs to mitigate aggregation effects. This precise control is essential to fully exploit the plasmonic effects and interfacial dynamics of the nanocomposite for creating high-performance, stable, and reversible photodetectors.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eAcknowledgements\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors declare that they have no acknowledgements to report\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eFunding\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNo funding was received for this research.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eConflict of Interest\u003c/strong\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe authors declare that they have no conflict of interest.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eData availability\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eAll data generated or analysed during this study are included in this published article.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eG\u0026oacute;mez-Navarro, C., et al., Electronic transport properties of individual chemically reduced graphene oxide sheets. \u003cem\u003eNano Letters\u003c/em\u003e, \u003cstrong\u003e7\u003c/strong\u003e(11), 3499-3503 (2007).\u003c/li\u003e\n\u003cli\u003eRobinson, J. 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Gold nanoparticles were synthesized using the laser ablation method in water and mixed with a graphene oxide solution to form a graphene oxide/gold nanocomposite. This nanocomposite was then deposited onto glass substrates and subsequently reduced through a thermal process, allowing gold nanoparticles to be positioned effectively between the reduced graphene oxide layers. The samples were characterized using UV-Vis spectroscopy, Fourier-transform infrared spectroscopy, and scanning electron microscopy. The results showed that the presence of gold nanoparticles and thermal treatment significantly enhanced the optical response of the layers, particularly under the illumination of a 405 nm wavelength laser. Specifically, reduced graphene oxide and graphene oxide reduced/gold nanocomposite exhibited superior optical performance compared to other samples. These findings strengthen the potential use of the graphene oxide reduced/gold nanocomposite in optical sensors and optoelectronic devices with improved performance.","manuscriptTitle":"Effect of Thermal and Gold Nanoparticles on the Optoelectronic Properties of Graphene Oxide","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-12-03 11:14:50","doi":"10.21203/rs.3.rs-8145670/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-12-23T09:04:19+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-12-23T08:32:42+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-12-08T19:28:29+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"239745997970500549137671299637518851225","date":"2025-12-03T18:35:44+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"284718128561890421409145338394968895219","date":"2025-12-02T07:36:59+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"169131189927503069445334160069549935002","date":"2025-12-01T16:40:44+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-12-01T16:29:36+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-12-01T16:17:51+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2025-12-01T16:13:30+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-11-29T11:52:35+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2025-11-29T11:48:15+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"756a22ff-5f42-420f-8e14-9d630fa774d4","owner":[],"postedDate":"December 3rd, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":58982447,"name":"Physical sciences/Materials science"},{"id":58982448,"name":"Physical sciences/Nanoscience and technology"},{"id":58982449,"name":"Physical sciences/Optics and photonics"},{"id":58982450,"name":"Physical sciences/Physics"}],"tags":[],"updatedAt":"2026-02-16T15:59:52+00:00","versionOfRecord":{"articleIdentity":"rs-8145670","link":"https://doi.org/10.1038/s41598-026-39573-6","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2026-02-15 15:57:06","publishedOnDateReadable":"February 15th, 2026"},"versionCreatedAt":"2025-12-03 11:14:50","video":"","vorDoi":"10.1038/s41598-026-39573-6","vorDoiUrl":"https://doi.org/10.1038/s41598-026-39573-6","workflowStages":[]},"version":"v1","identity":"rs-8145670","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8145670","identity":"rs-8145670","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}