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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">616349</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2020.616349</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Defective Titanium Dioxide-supported Ultrasmall Au Clusters for Photocatalytic Hydrogen Production</article-title>
<alt-title alt-title-type="left-running-head">Zhang et al.</alt-title>
<alt-title alt-title-type="right-running-head">TiO<sub>2</sub>/Au for Photocatalytic Hydrogen Production</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Xiaoqin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1141762/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Wenna</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1141767/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xu</surname>
<given-names>Yuanmei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="http://loop.frontiersin.org/people/1098881/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jin</surname>
<given-names>Mingliang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>National Center for International Research on Green Optoelectronics, South China Academy of Advanced Optoelectronics, South China Normal University, <addr-line>Guangzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>International Academy of Optoelectronics at Zhaoqing, South China Normal University, <addr-line>Guangdong</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>State Key Lab of Silicon Materials, Zhejiang University, <addr-line>Hangzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/889896/overview">Chongfu Zhang</ext-link>, University of Electronic Science and Technology of China, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/901824/overview">Xiaolei Wang</ext-link>, University of Alberta, Canada</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1115845/overview">Yongchao Huang</ext-link>, Guangzhou University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Mingliang Jin, <email>jinml@scnu.edu.cn</email>Yuanmei Xu, <email>yuanmei.xu@ecs-scnu.org</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Optics and Photonics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>11</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="collection">
<year>2020</year>
</pub-date>
<volume>8</volume>
<elocation-id>616349</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>10</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>11</month>
<year>2020</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2020 Zhang, Zhang, Xu and Jin</copyright-statement>
<copyright-holder>Zhang, Zhang, Xu and Jin</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Ultrasmall precious metal clusters have attracted extensive attention for providing a very specific surface and promoting electron transfer. In this work, ultrasmall Au clusters based on defective TiO<sub>2</sub> nanosheets (Au/D-TiO<sub>2</sub>) were prepared and introduced into photocatalytic hydrogen evolution. Different defects of TiO<sub>2</sub> nanosheets (D-TiO<sub>2</sub>) were constructed using a heating process and then loaded with Au clusters. Compared with bare TiO<sub>2</sub>, Au clusters established on defective TiO<sub>2</sub> nanosheets with a narrower band gap showed higher light absorption performances, resulting in obviously enhanced photocatalytic hydrogen production performances. The Au/D-TiO<sub>2</sub> displayed the greatly enhanced photocatalytic hydrogen evolution activity of 3,142.33&#xa0;&#x3bc;mol&#xa0;h<sup>&#x2212;1</sup>&#xa0;g<sup>&#x2212;1</sup>, which was over 45 times than the pure TiO<sub>2</sub>. The results showed that the catalysts had good prospects in the field of photocatalytic hydrogen production.</p>
</abstract>
<kwd-group>
<kwd>Au</kwd>
<kwd>cluster</kwd>
<kwd>defect TiO<sub>2</sub>
</kwd>
<kwd>H<sub>2</sub> evolution</kwd>
<kwd>photocatalytic</kwd>
</kwd-group>
<counts>
<page-count count="0"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1. Introduction</title>
<p>Photocatalytic H<sub>2</sub> evolution, which utilizes water decomposition under solar energy, is a promising route to overcome the growing energy crisis and environment issues. However, in this process, the photocatalyst plays a key role. At present, photocatalysts such as nitrides [<xref ref-type="bibr" rid="B1 B2">1, 2</xref>], metal sulfides [<xref ref-type="bibr" rid="B3 B4">3, 4</xref>], and metal oxides [<xref ref-type="bibr" rid="B5 B6">5, 6</xref>] have been demonstrated in hydrogen evolution systems. Among the traditional photocatalysts, anatase is one of the most extensively studied photocatalysts due to its reasonable price, nontoxicity, and remarkable photochemical stability [<xref ref-type="bibr" rid="B7 B8">7, 8</xref>]. However, TiO<sub>2</sub> with a comparatively large band gap (3.2&#xa0;eV) can absorb only the ultraviolet portion of the solar spectrum, resulting in insufficient photocatalytic activity of TiO<sub>2</sub> for H<sub>2</sub> production.</p>
<p>Photocatalytic efficiency of TiO<sub>2</sub> for water decomposition is limited due to the high recombination rate of photogenerated carriers. Hence, many measures have been taken to solve the problem of low photocatalytic performance of TiO<sub>2</sub>, involving the mingling of transition metals [<xref ref-type="bibr" rid="B9 B10">9, 10</xref>], adding of the nonmetal ions [<xref ref-type="bibr" rid="B11 B12">11, 12</xref>], loading of the precious metals [<xref ref-type="bibr" rid="B13 B14">13, 14</xref>], the surface for dye-sensitized [<xref ref-type="bibr" rid="B15">15</xref>], and the generation of hybrid semiconductor [<xref ref-type="bibr" rid="B16 B17">16, 17</xref>]. The manufacture of metal-semiconductor oxide composite materials is another very dynamic research area that can improve the photocatalytic activity of semiconductor oxide photocatalysts [<xref ref-type="bibr" rid="B18">18</xref>]. It has been reported that the transfer of electrons from semiconductor oxides to metals may reduce electron hole recombination events and improve the photocatalytic performances of semiconductor oxide-based catalysts. Thus, the electron hole pairs in the recombined semiconductor oxide produced by photons can be reduced by a large part [<xref ref-type="bibr" rid="B19 B20">19, 20</xref>].</p>
<p>Therefore, in this work, the electron hole recombination rate was reduced, we have demonstrated a method of constructing defects on metal oxides to support Au clusters. Both oxygen vacancies and a Ti-O-Ti structure were formed in this process. Oxygen atoms were lost through the formed oxygen vacancies, and the original oxygen vacancies were occupied by metal clusters, thus effectively reducing the recombination rate of photogenerated carriers. Au clusters built on defective TiO<sub>2</sub> nanosheets (Au/D-TiO<sub>2</sub>) were applied to the production of photocatalytic hydrolysis hydrogen and showed significantly enhanced performances. Compared with the traditional TiO<sub>2</sub> catalyst, the catalysts of Au/D-TiO<sub>2</sub> could produce up to 45 times more hydrogen than TiO<sub>2</sub>. The results demonstrated that the structural defects on the surface of metal oxide could improve the catalytic performance of Au/D-TiO<sub>2</sub> catalysts. This work laid a foundation for the preparation of catalysts in the future.</p>
</sec>
<sec id="s2">
<title>2. Experimental Section</title>
<sec id="s2-1">
<title>2.1. Materials</title>
<p>The chemical reagents Tetra-n-butyl Titanate (Ti(OC<sub>4</sub>H<sub>9</sub>)<sub>4</sub>, 99.0%, AR grade), hydrofluoric acid solution (HF, 40.0&#xa0;wt%, AR grade), ethanol (99.7%, AR grade), and ammonium carbonate (40%, AR grade) were bought from Tianjin Damao Chemical Reagent Factory, China. HAuCl<sub>4</sub>&#x2219;3H<sub>2</sub>O (99.9%, AR grade) was bought from Aladdin, China. All experimental materials were used directly in the experiment after purchase.</p>
</sec>
<sec id="s2-2">
<title>2.2. Sample Preparation</title>
<sec id="s2-2-1">
<title>2.2.1. Preparation of D-TiO<sub>2</sub> Nanosheets</title>
<p>TiO<sub>2</sub> nanosheets were obtained by hydrothermal method. In a common synthesis, Ti(OC<sub>4</sub>H<sub>9</sub>)<sub>4</sub> (50&#xa0;ml) and HF (6&#xa0;ml) were added to the Teflon-lined autoclave. Then, the hydrothermal reaction occurred at 180&#xb0;C for 24&#xa0;h. After the reaction, the white sediment of the Teflon-lined autoclave was centrifuged and rinsed three times with water and ethanol, and dried in an oven at a temperature of 80&#xb0;C for 12&#xa0;h. Different defects of D-TiO<sub>2</sub> sample were obtained after being calcined at reducing atmosphere (10 vol.% H<sub>2</sub> and 90 vol.% Ar, 2&#xa0;h) with unequal temperatures (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively).</p>
</sec>
<sec id="s2-2-2">
<title>2.2.2. Synthesis of Au/D-TiO<sub>2</sub>
</title>
<p>Au/D-TiO<sub>2</sub> was composite according to the deposition-precipitation method. First, 1&#xa0;g of pure or defective TiO<sub>2</sub> nanosheets powders were suspended in 50&#xa0;ml distilled water and stirred for 20&#xa0;min. Then, the aqueous solution (25&#xa0;ml) of 2.4&#xa0;g (NH<sub>4</sub>)<sub>2</sub>CO<sub>3</sub> and 0.01&#xa0;g HAuCl<sub>4</sub>
<sup>
<bold>.</bold>
</sup>3H<sub>2</sub>O were mixed into the above solution drop by drop and stirred for 1&#xa0;h at room temperature. And then, the samples were collected by centrifugation, and washed with distilled water and ethanol for three times, respectively. Au/D-TiO<sub>2</sub> samples were gained after being dried at 70&#xb0;C for 6&#xa0;h and calcined (200&#xb0;C, 10 vol.% H<sub>2</sub> and 90 vol.% Ar) for 2&#xa0;h. For comparison, Au/TiO<sub>2</sub> was synthesized with the same method on TiO<sub>2</sub> nanosheets instead of D-TiO<sub>2</sub>.</p>
</sec>
<sec id="s2-2-3">
<title>2.2.3. Characterization</title>
<p>The crystalline structures of the acquired samples were analyzed by a powder X-ray diffractometer (XRD, BRUKER D8 ADVANCE) with a scan range of 10&#xb0;&#x2013;90&#xb0; and a step size of 0.02&#xb0;. The measurement of electron paramagnetic resonance (EPR) was performed at room temperature using a BRUKE A300 EPR spectrometer. The transmission electron microscopy (TEM) and high angle annular dark-field (HAADF) were performed on a JEM-2100HR operating at 200&#xa0;kV. The surface analysis of every sample was examined by X-ray photoelectron spectroscopy (XPS) using a Thermo Fisher Scientific K-Alpha spectrometer. The Metal contents of samples were analyzed by analysis of inductively coupled plasma spectroscopy (ICP, Agilent 700). The UV-vis diffuse reflectance spectra (DRS) recorded on a Lambda 750 spectrophotometer. The photoluminescence (PL) spectra gained by a F-4600 FL Spectrophotometer.</p>
</sec>
<sec id="s2-2-4">
<title>2.2.4. Photocatalytic Hydrogen Evolution</title>
<p>The photocatalytic hydrolysis reaction was carried out in a heat-resistant glass reactor, which was connected to a sealed single channel glass system, a circulating water system, a controller, and a vacuum pump. A 300&#xa0;w xenon lamp was applied as a light source and fixed with the distance of 1&#xa0;cm from the glass reactor. The glass reactor was charged with 80&#xa0;ml of distilled water, 20&#xa0;ml of methanol solution and 50&#xa0;mg of photocatalyst. Before the start of the reaction, in order to keep the entire reaction device free of air, the vacuum pump was turned on for 1&#xa0;h, and the valves of the glass system were rotated while evacuating, and the air of the system was extracted as much as possible. The circulating water and the controller were opened while the vacuum pump was being punched, and the magnetic stirrer placed under the glass reactor was turned at 500&#xa0;rpm to avoid overheating of the reaction during the experiment and to guarantee uniform dispersion of the photocatalyst in the solution. In the photocatalytic hydrogen production experiment, a gas chromatograph was used to analyze the produced hydrogen gas, and the gas chromatograph was equipped with a packed bed column having a temperature of 70&#xb0;C and a detector. In the hydrogen production experiment, the xenon lamp irradiation time was 1&#xa0;h for each time, and the intake air was detected every hour with a total of 4&#xa0;h [<xref ref-type="bibr" rid="B21 B22">21, 22</xref>].</p>
</sec>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3. Results and Discussion</title>
<p>The compositions and phase structures of the samples were studied by using XRD (<xref ref-type="fig" rid="F1">Figure 1</xref>). It could be seen from the XRD patterns that both pure and defective TiO<sub>2</sub> were with a palpable structure of anatase phase (JCPDS no. 21-1272). In the case of Au/D-TiO<sub>2</sub>, the crystallographic peaks of Au could be detected (<xref ref-type="fig" rid="F1">Figure 1A</xref>). Defects in D-TiO<sub>2</sub> were tested by electron paramagnetic resonance (EPR) measurements (<xref ref-type="fig" rid="F1">Figure 1B</xref>), which indicated an aerobic vacancy defect with a g value of 2.015 [<xref ref-type="bibr" rid="B23">23</xref>&#x2013;<xref ref-type="bibr" rid="B25">25</xref>].</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> XRD of pure TiO<sub>2</sub>, Au/TiO<sub>2,</sub> and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively) <bold>(B)</bold> EPR of TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C).</p>
</caption>
<graphic xlink:href="fphy-08-616349-g001.tif"/>
</fig>
<p>The preparation of defective TiO<sub>2</sub> was the first and an important step in the synthesis process of the catalyst Au/D-TiO<sub>2</sub>. The transmission electron microscopy (TEM) image (<xref ref-type="fig" rid="F2">Figure 2A</xref>) demonstrated the nanosheet structure of D-TiO<sub>2</sub> with a length of about 50&#xa0;nm. And the high-resolution transmission electron microscopy (HRTEM) showed a lattice spacing of approximate 0.358&#xa0;nm (<xref ref-type="fig" rid="F2">Figure 2B</xref>) corresponding to (101) planes of TiO<sub>2</sub>. In addition, <xref ref-type="fig" rid="F2">Figure 2C</xref> had many Au clusters distributed and marked by the red arrow. Further, the high angle annular dark-field (HAADF) and the element mapping image (<xref ref-type="fig" rid="F2">Figure 2D</xref>) further indicated that the Au clusters were well dispersed on the defective TiO<sub>2</sub> carrier.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> TEM image of TiO<sub>2</sub> nanosheets <bold>(B)</bold> HRTEM image of the selective area <bold>(C)</bold> TEM image, Au clusters high-lighted by red arrows <bold>(D)</bold> elemental mappings show the distribution of Ti (red) and Au (gold).</p>
</caption>
<graphic xlink:href="fphy-08-616349-g002.tif"/>
</fig>
<p>In order to further explore the surface defects of the pure TiO<sub>2</sub> and the defective TiO<sub>2</sub>, the X-ray photoelectron spectroscopy (XPS) spectra were conducted. The O 1 score-level XPS spectrum manifested two peaks in <xref ref-type="fig" rid="F3">Figure 3A</xref>, one of which at 530.0&#xa0;eV was considered as the oxygen band of Ti-O-Ti, and another one at 531.5&#xa0;eV could be attributed to oxygen vacancy. The peak area of 531.5&#xa0;eV of 150&#xb0;C treated sample was larger than that of the other samples, indicating the highest oxygen vacancy concentration (<xref ref-type="fig" rid="F3">Figure 3A</xref>). <xref ref-type="fig" rid="F3">Figure 3B</xref> showed the O 1 s XPS spectrum of Au/TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C). It was found that the binding energy of Au/D-TiO<sub>2</sub> was significantly shifted to higher binding energies compared with Au/TiO<sub>2</sub>. And the strength of Ti-O-Ti of Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) was greater than that of Au/TiO<sub>2</sub>. Usually, such binding energy transfer is explained by a strong interaction between the two components. <xref ref-type="fig" rid="F3">Figure 3C</xref> displayed the Ti 2p XPS spectrum of TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively) and demonstrated that they were not obvious differences. The Au 4f of Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) core-level XPS spectrum displayed one special peak at 83.9&#xa0;eV in <xref ref-type="fig" rid="F3">Figure 3D</xref>, and this peak could be attributed to Au clusters [<xref ref-type="bibr" rid="B26 B27">26, 27</xref>].</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> XPS of TiO<sub>2</sub> and D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively) <bold>(B)</bold> XPS of synthesized Au/TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) <bold>(C)</bold> Ti 2p spectrum <bold>(D)</bold> Au 4f spectrum.</p>
</caption>
<graphic xlink:href="fphy-08-616349-g003.tif"/>
</fig>
<p>The measurements of UV-visible diffuse-reflectance spectrum (UV-vis DRS) were carried out to investigate the light absorption intensity. As can be seen from <xref ref-type="fig" rid="F4">Figure 4A</xref>, the intensity of light absorption for Au/D-TiO<sub>2</sub> was significantly enhanced in the wavelength ranging from 250 to 800&#xa0;nm compared with the untreated TiO<sub>2</sub> nanosheets. And Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) showed the strongest absorption intensity. According to the UV-vis DRS, the optical band gap value E<sub>g</sub> of all samples was estimated from these absorption profiles using the Tauc&#x2019;s relation (<xref ref-type="fig" rid="F4">Figure 4B</xref>) [<xref ref-type="bibr" rid="B28">28</xref>]. As shown in <xref ref-type="fig" rid="F4">Figure 4B</xref>, the band gaps of these samples were analogous. However, after combining with Au clusters, the band gap of the samples mildly narrowed, whereby the results of pure TiO<sub>2</sub>, Au/TiO<sub>2</sub>, Au/D-TiO<sub>2</sub> (treated at 100&#xb0;C), Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) and Au/D-TiO<sub>2</sub> (treated at 200&#xb0;C) were 2.93, 3.05, 3.03,2.86 and 2.98 ev, respectively [<xref ref-type="bibr" rid="B29 B30">29, 30</xref>].</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> UV-vis DRS of synthesized of TiO<sub>2</sub>, Au/TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively) <bold>(B)</bold> the forbidden band width of synthesized of TiO<sub>2</sub>, Au/TiO<sub>2</sub>, and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively).</p>
</caption>
<graphic xlink:href="fphy-08-616349-g004.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> presented a comparison of the PL spectra of synthesized TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively). PL emission in semiconductors was due to the recombination of free carriers. The PL peak at about 396&#xa0;nm was attributed to the emission of the bandgap transition. At an excitation wavelength of 230&#xa0;nm, the light energy was approximately equal to the bandgap energy of anatase (387&#xa0;nm). As expected, the PL intensity of the prepared Au/D-TiO<sub>2</sub> was significantly reduced as compared with pure TiO<sub>2</sub>. This indicated that the recombination rate of electrons and holes of Au/D-TiO<sub>2</sub> sample was low. This might be owing to the fact that electrons were excited from the valence band to the conduction band, and then moved to Au, thereby preventing the direct recombination of electrons and holes. In general, low recombination rate of electrons and holes are often associated with high photocatalytic activity [<xref ref-type="bibr" rid="B31 B32">31, 32</xref>].</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>PL spectra of TiO<sub>2</sub>, Au/TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively).</p>
</caption>
<graphic xlink:href="fphy-08-616349-g005.tif"/>
</fig>
<p>In order to understand the band structure change of TiO<sub>2</sub> nanosheets after Au loading, the Mott-Schottky experiment (MS) was conducted (<xref ref-type="fig" rid="F6">Figure 6</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The Mott&#x2013;Schottky curves of using Ag/AgCl as a reference electrode of TiO<sub>2</sub>, Au/TiO<sub>2,</sub> and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively).</p>
</caption>
<graphic xlink:href="fphy-08-616349-g006.tif"/>
</fig>
<p>Based on the MS equation, the capacitance (C) depend on applied potential and could be fitted as follows [<xref ref-type="bibr" rid="B33">33</xref>]:<disp-formula id="e1">
<mml:math>
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:munder accentunder="true">
<mml:mo>&#x2b;</mml:mo>
<mml:mo stretchy="true">&#xaf;</mml:mo>
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<mml:mi>d</mml:mi>
</mml:msub>
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<mml:mfrac>
<mml:mrow>
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<label>(1)</label>
</disp-formula>Where the slope expresses the type of semiconductor (negative to p-type and positive to n-type). The <italic>N</italic>
<sub>
<italic>d</italic>
</sub> denotes the carrier density. The <italic>C, E</italic> (corrected by the AgCl vs 0.197&#xa0;eV) denote the space charge capacitance and applied potential. <italic>&#x190;</italic> denotes the relative permittivity. <italic>&#x190;</italic>
<sub>
<italic>0</italic>
</sub> denotes the vacuum permittivity. Where <italic>e</italic> denotes the electron charge. Besides, the intercept on the <italic>x</italic> axis denotes the <italic>E</italic>
<sub>
<italic>fb</italic>
</sub> (band potential).</p>
<p>As revealed in <xref ref-type="fig" rid="F6">Figure 6</xref>, the positive slope in the Mott&#x2013;Schottky plot for the samples indicated that TiO<sub>2</sub> nanosheets was typical n-type semiconductors according to the MS equation. Furthermore, the conduction band (CB) of the samples were obtained corrected by the AgCl by calculating, and the flat band potential (<italic>E</italic>
<sub>
<italic>fb</italic>
</sub> (Vs RHE)) of pure TiO<sub>2</sub>, Au/TiO<sub>2</sub>, Au/D-TiO<sub>2</sub> (treated at 100&#xb0;C), Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) and Au/D-TiO<sub>2</sub> (treated at 200&#xb0;C) were gained to be &#x2013;0.16, &#x2013;0.13, &#x2013;0.07, &#x2013;0.04, and &#x2013;0.01&#xa0;V, respectively. Moreover, the valence band (VB) was calculated by adding the band gap value to the CB level. whereby the results of pure TiO<sub>2</sub>, Au/TiO<sub>2</sub>, Au/D-TiO<sub>2</sub> (treated at 100&#xb0;C), Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) and Au/D-TiO<sub>2</sub> (treated at 200&#xb0;C) were 2.77, 2.92, 2.96, 2.82, and 2.97&#xa0;V, respectively compared with NHE.</p>
<p>The photocatalytic H<sub>2</sub> production activities of the bare TiO<sub>2</sub>, Au/TiO<sub>2</sub> and Au/D-TiO<sub>2</sub> were further examined in <xref ref-type="fig" rid="F7">Figure 7</xref>. Under the same experimental conditions, the test was performed every 1&#xa0;h, and a total of 4&#xa0;h of experiments were performed. Bare TiO<sub>2</sub> and Au/TiO<sub>2</sub> only exhibited a very low photocatalytic H<sub>2</sub> production rate of 69.18 and 138.7&#xa0;&#x3bc;mol&#xa0;h<sup>&#x2212;1</sup>&#xa0;g<sup>&#x2212;1</sup>, respectively. However, after coupling with Au clusters, the production rate of photocatalytic H<sub>2</sub> was significantly enhanced. Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C) exhibited the highest photocatalytic H<sub>2</sub> production rate of 3,142.33&#xa0;&#x3bc;mol&#xa0;h<sup>&#x2212;1</sup>&#xa0;g<sup>&#x2212;1</sup>, suggesting that the construction of Au/D-TiO<sub>2</sub> could effectively boost the production activity of photocatalytic H<sub>2</sub>. Besides, the production rate of photocatalytic H<sub>2</sub> first increased and then declined when the treated temperature of D-TiO<sub>2</sub> increased from 100&#xb0; to 200&#xb0;C for Au/D-TiO<sub>2</sub> samples, indicating that the treated temperature could efficiently adjust the defects of TiO<sub>2</sub> nanosheets and effect the H<sub>2</sub> production activity [<xref ref-type="bibr" rid="B34">34</xref>&#x2013;<xref ref-type="bibr" rid="B36">36</xref>].</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> H<sub>2</sub> production of TiO<sub>2</sub>, Au/TiO<sub>2,</sub> and Au/D-TiO<sub>2</sub> (The D-TiO<sub>2</sub> were treated at 100&#xb0;, 150&#xb0;, and 200&#xb0;C, respectively) under sunlight irradiation <bold>(B)</bold> Circulation experiment of hydrogen evolution of Au/D-TiO<sub>2</sub> (treated at 150&#xb0;C).</p>
</caption>
<graphic xlink:href="fphy-08-616349-g007.tif"/>
</fig>
<p>The stability test with Au/D-TiO<sub>2</sub> was carried out by a total of 16&#xa0;h of cycling experiments, which were divided into four groups of 4&#xa0;h, respectively, and an injection was performed every hour for data recording. The result suggested a good stability of Au/D-TiO<sub>2</sub> at fully photocatalytic hydrogen production experiment process without obvious decrease, which might be due to the Au clusters could be effectively stabilized on TiO<sub>2.</sub>
</p>
<p>A reaction mechanism for the evolution of hydrogen is shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. First, the valence band electrons of TiO<sub>2</sub> are excited to the conduction band, and then immediately transferred to Au through the intimate interface contacts. Since it is well known that H<sub>2</sub>O has an ionization balance in the natural state, the water contains trace amounts of H<sup>&#x2b;</sup> and OH<sup>&#x2212;</sup>. Therefore, the releasing H<sup>&#x2b;</sup> binding in the e<sup>&#x2212;</sup> of H<sub>2</sub>O to produce H<sub>2</sub>. H<sup>&#x2b;</sup> adsorption on the surface of the Au and accepting excited electrons is a key step in the hydrogen evolution reaction. On the other hand, H<sub>2</sub>O/OH<sup>&#x2212;</sup> reacts with h<sup>&#x2b;</sup> in Au/D-TiO<sub>2</sub> to produce H<sub>2</sub> and OH. When H<sub>2</sub> is released, O<sub>2</sub> is also formed. Then O<sub>2</sub> reacts with the e<sup>&#x2212;</sup> to form O<sub>2</sub>
<sup>&#x2212;</sup>. Finally, the O<sub>2</sub>
<sup>&#x2212;</sup> reacts with CH<sub>3</sub>OH to form H<sub>2</sub>O. When TiO<sub>2</sub> is coupled with Au clusters, it can provide more active sites for the hydrogen release reaction due to the characteristics of the Au/D-TiO<sub>2</sub> catalyst, thereby increasing photocatalytic activity [<xref ref-type="bibr" rid="B37 B38">37, 38</xref>].</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Schematic diagram of charge transfer and H<sub>2</sub> production of Au/D-TiO<sub>2</sub>.</p>
</caption>
<graphic xlink:href="fphy-08-616349-g008.tif"/>
</fig>
</sec>
<sec sec-type="conclusion" id="s4">
<title>Conclusion</title>
<p>In conclusion, Au based on defective TiO<sub>2</sub> nanosheets (Au/D-TiO<sub>2</sub>) has been successfully prepared and applied to the production of photocatalytic hydrolysis hydrogen. Compared with bare TiO<sub>2</sub> and Au/TiO<sub>2</sub> only exhibit a very low production rate of photocatalytic H<sub>2</sub> of 69.18 and 138.7&#xa0;&#x3bc;mol&#xa0;h<sup>&#x2212;1</sup>&#xa0;g<sup>&#x2212;1</sup>, respectively, the production rate of photocatalytic H<sub>2</sub> was significantly enhanced after coupling with Au clusters. The Au/D-TiO<sub>2</sub> treated at 150&#xb0;C exhibited the highest production rate of photocatalytic H<sub>2</sub> of 3,142.33&#xa0;&#x3bc;mol&#xa0;h<sup>&#x2212;1</sup>&#xa0;g<sup>&#x2212;1</sup>. The stability test suggested a good stability of Au/D-TiO<sub>2</sub> at fully photocatalytic hydrogen production experiment process due to the Au clusters could be effectively stabilized on TiO<sub>2.</sub> Overall, this could be an effective approach for enhancing photocatalytic hydrogen production efficiency and stability by catalyst.</p>
</sec>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>XZ: Conducted experiments and wrote manuscript; WZ: Conducted experiments, evaluated data; YX: Designed experiments, evaluated data, and revised manuscript; MJ: Acquired research funding, conceived research and revised manuscript.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This work was financially supported by Guangdong Provincial Grant (2018A050506025), Special Fund Project of Science and Technology Application in Guangdong (2017B020240002), Guangdong Provincial Key Laboratory of Optical Information Materials and Technology (Grant No. 2017B030301007), Guangdong Innovative Research Team Program (No. 2016ZT06C517), Science and Technology Program of Guangzhou (No. 2019050001).</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</body>
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