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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Catal.</journal-id>
<journal-title>Frontiers in Catalysis</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Catal.</abbrev-journal-title>
<issn pub-type="epub">2673-7841</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1353746</article-id>
<article-id pub-id-type="doi">10.3389/fctls.2024.1353746</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Catalysis</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Combined anodic and cathodic peroxide production in an undivided carbonate/bicarbonate electrolyte with 144% combined current efficiency</article-title>
<alt-title alt-title-type="left-running-head">Schanz et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fctls.2024.1353746">10.3389/fctls.2024.1353746</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Schanz</surname>
<given-names>Tobias</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>St&#xf6;ckl</surname>
<given-names>Markus</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Burek</surname>
<given-names>Bastien O.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1685055/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Holtmann</surname>
<given-names>Dirk</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Bloh</surname>
<given-names>Jonathan Z.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>DECHEMA-Forschungsinstitut</institution>, <addr-line>Frankfurt am Main</addr-line>, <country>Germany</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Karlsruher Institut f&#xfc;r Technologie</institution>, <institution>Institut f&#xfc;r Bio- und Lebensmitteltechnik</institution>, <addr-line>Karlsruhe</addr-line>, <country>Germany</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/2537613/overview">Subhasis Shit</ext-link>, Freie Universita&#x308;t Berlin, Germany</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/1543063/overview">Manisha Das</ext-link>, CIC Energigune, Spain</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1122606/overview">Ivonne L. Alonso-Lemus</ext-link>, Cinvestav Saltillo, Mexico</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jonathan Z. Bloh, <email>bloh@dechema.de</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>4</volume>
<elocation-id>1353746</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Schanz, St&#xf6;ckl, Burek, Holtmann and Bloh.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Schanz, St&#xf6;ckl, Burek, Holtmann and Bloh</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 Creative Commons Attribution License (CC BY). 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>In recent years, the electrochemical synthesis of peroxides has attracted renewed interest as a potential environmentally friendly production compared to the established anthraquinone process. In addition, it is possible to produce the peroxides directly on site, eliminating the need for expensive and hazardous transportation and storage. Cathodic production of hydrogen peroxide from oxygen is already quite well developed. Anodic production from water, on the other hand, is still facing significant challenges, despite its historic pioneering role. In this manuscript we show that anodic and cathodic synthesis of peroxides can even be combined to achieve greater than 100% current efficiency (CE) due to the combined effect of both half-reactions. So far, similar devices have always employed different electrolytes for each, which necessitated the use of a membrane and posed contamination risk. However, herein we show that both half-reactions can also employ the same electrolyte. This enables even an undivided cell, omitting the need for the expensive membranes. Despite its simplicity, this setup yielded an outstanding performance with a combined CE of 144%.</p>
</abstract>
<kwd-group>
<kwd>electrochemical peroxide production</kwd>
<kwd>paired electrolysis</kwd>
<kwd>percarbonates</kwd>
<kwd>hydrogen peroxide</kwd>
<kwd>membraneless cell</kwd>
</kwd-group>
<contract-sponsor id="cn001">Bundesministerium f&#xfc;r Bildung und Forschung<named-content content-type="fundref-id">10.13039/501100002347</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Electrocatalysis</meta-value>
</custom-meta>
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</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Peroxides are important chemical compounds in many industries (<xref ref-type="bibr" rid="B20">Goor et al., 2012</xref>). The most widespread use is as a bleaching agent, for example, in the textile and paper industry (<xref ref-type="bibr" rid="B20">Goor et al., 2012</xref>). Peroxides are also employed as disinfectants in healthcare, as etching agent in the electronics industry or as oxidant for environmental remediation (<xref ref-type="bibr" rid="B20">Goor et al., 2012</xref>). In the chemical industry it is seen as the key compound for green oxidation chemistry (<xref ref-type="bibr" rid="B43">Sato, 2004</xref>; <xref ref-type="bibr" rid="B42">Russo et al., 2013</xref>; <xref ref-type="bibr" rid="B11">Ciriminna et al., 2016</xref>). The commercial production of hydrogen peroxide is almost exclusively done via the energy intensive anthraquinone process (17.6&#xa0;kWh kg<sup>&#x2212;1</sup>
<sub>H2O2</sub>) (<xref ref-type="bibr" rid="B20">Goor et al., 2012</xref>; <xref ref-type="bibr" rid="B52">Sun et al., 2020</xref>; <xref ref-type="bibr" rid="B38">Pangotra et al., 2022a</xref>). Also, to make the process efficient, large, centralized plants are necessary which in turn means that the produced peroxide needs to be shipped over large distances to the typically decentral application sites.</p>
<p>However, over the past years, another option for the production of hydrogen peroxide has re-emerged. Once the pioneering technology for industrial hydrogen peroxide production, the electrochemical production from water and/or oxygen offers a promising alternative to the anthraquinone process (<xref ref-type="bibr" rid="B54">Wenderich et al., 2020</xref>). Particularly in terms of sustainability, as by using renewable power sources, the process does not emit any greenhouse gases. It is also possible to run small modular electrochemical peroxide systems in a decentralized matter, directly at the site of use. This further saves costs, resources and hazards associated with transportation and storage.</p>
<p>The electrochemical synthesis of hydrogen peroxide can take place by means of oxidation and/or reduction. At the cathode, molecular oxygen can be converted to hydrogen peroxide via a two-electron reduction reaction (2e-ORR), Eq. <xref ref-type="disp-formula" rid="e1">1</xref> (<xref ref-type="bibr" rid="B49">Siahrostami et al., 2020</xref>).<disp-formula id="e1">
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<p>Several catalyst materials are currently known for the cathodic production of peroxide. Many of these materials are carbon-based and doped with other elements (<xref ref-type="bibr" rid="B49">Siahrostami et al., 2020</xref>). The majority of studies on the two-electron reduction reaction (2e-ORR) to hydrogen peroxide take place in an acidic environment due to the superior stability of H<sub>2</sub>O<sub>2</sub> under these conditions. These include Pt/S doped carbon (<xref ref-type="bibr" rid="B10">Choi et al., 2016</xref>), Au<sub>0.92</sub>Pd<sub>0.08</sub>/carbon black (<xref ref-type="bibr" rid="B27">Jirkovsk&#xfd; et al., 2011</xref>) and WO<sub>3</sub>/vulcan carbon (<xref ref-type="bibr" rid="B2">Assump&#xe7;&#xe3;o et al., 2013</xref>). Other works show that mesoporous carbon doped with nitrogen is able to produce H<sub>2</sub>O<sub>2</sub> at a current efficiency (CE) of 95% in sulfuric acid solution (<xref ref-type="bibr" rid="B53">Sun et al., 2018</xref>) or the lowering of the overpotential by the modification of the electrode with carbon nanotubes (<xref ref-type="bibr" rid="B7">Bormann et al., 2019</xref>). Where given, the maximum concentration reported in these works ranged from 16 to 160&#xa0;mM, where the latter appears to present an equilibrium concentration (<xref ref-type="bibr" rid="B10">Choi et al., 2016</xref>).</p>
<p>Some studies also employ alkaline electrolytes where carbon nanotubes (<xref ref-type="bibr" rid="B19">Gong et al., 2009</xref>) and mesoporous carbon (<xref ref-type="bibr" rid="B31">Kornienko et al., 2018</xref>) can achieve a current efficiency of 90%. Another reduction reaction in basic electrolyte is performed with doped carbon black (Sn<sub>6</sub>Ni/carbon black) (<xref ref-type="bibr" rid="B1">Antonin et al., 2013</xref>). Carbon macrocycles with Co(II) phthalocyanine (<xref ref-type="bibr" rid="B5">Barros et al., 2013</xref>) und Fe(II) phthalocyanine (<xref ref-type="bibr" rid="B50">Silva et al., 2014</xref>) in potassium sulfate to achieve hydrogen peroxide FE of 80%. In general, carbon-based electrodes seem to perform reasonably well under near-neutral conditions (<xref ref-type="bibr" rid="B24">Holtmann et al., 2014</xref>). Another important type of cathode for reductive hydrogen peroxide production involves the deposition of anthraquinone on a carbon-based electrode. This work was performed in a 1&#xa0;M NaHCO<sub>3</sub> solution (<xref ref-type="bibr" rid="B26">Jeon et al., 2020</xref>). This is particularly interesting as carbonate-containing electrolytes are very well suited for the anodic production of hydrogen peroxide (<xref ref-type="bibr" rid="B14">Fuku et al., 2016</xref>). In general, the fabrication and application of gas diffusion electrodes (GDE) represents the most desired type of electrodes for the cathodic half reaction. GDE allow high space-time-yields and allow to overcome solubility and transport limitations of oxygen in the electrolyte solution (<xref ref-type="bibr" rid="B51">St&#xf6;ckl et al., 2023</xref>).</p>
<p>For anodic peroxide production, the challenge lies in controlling the reaction pathway. Only the 2-electron oxidation (2e-WOR, Eq. <xref ref-type="disp-formula" rid="e2">2</xref>) to hydrogen peroxide is desirable, while both the overoxidation of the formed peroxide (Eq. <xref ref-type="disp-formula" rid="e3">3</xref>) as well as the direct four-electron water oxidation to molecular oxygen (4e-WOR, Eq. <xref ref-type="disp-formula" rid="e4">4</xref>) must be suppressed.<disp-formula id="e2">
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</p>
<p>Typically, semiconducting metal oxides such as TiO<sub>2</sub>, SnO<sub>2</sub>, WO<sub>3</sub>, and BiVO<sub>4</sub> are employed for this purpose due to their high oxygen but low hydroxyl binding energies (<xref ref-type="bibr" rid="B48">Siahrostami et al., 2017</xref>). In particular, many recent studies employed BiVO<sub>4</sub> using bicarbonate or carbonate electrolytes, both purely electrochemically but also photoelectrochemically (<xref ref-type="bibr" rid="B46">Shi et al., 2017</xref>; <xref ref-type="bibr" rid="B58">Xue et al., 2021</xref>). Based on this, bismuth vanadate was subsequently doped with different metals (<xref ref-type="bibr" rid="B2">Assump&#xe7;&#xe3;o et al., 2013</xref>), (<xref ref-type="bibr" rid="B3">Baek et al., 2019</xref>) or coated with additional catalytic (<xref ref-type="bibr" rid="B16">Fuku and Sayama, 2016</xref>) and protective (<xref ref-type="bibr" rid="B15">Fuku et al., 2017a</xref>) metal oxide layers. In addition to the metal oxides already mentioned, other metal oxides such as MnOx (<xref ref-type="bibr" rid="B25">Izgorodin et al., 2012</xref>), CaSnO<sub>3</sub> (<xref ref-type="bibr" rid="B39">Park et al., 2019</xref>) or InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO (<xref ref-type="bibr" rid="B36">Miyase et al., 2020</xref>) have been reported for anodic hydrogen peroxide synthesis. Beside metal oxides, small molecules like porphyrins (<xref ref-type="bibr" rid="B33">Kuttassery et al., 2017</xref>) or carbon based electrodes such as BDDs (<xref ref-type="bibr" rid="B55">Wenderich et al., 2021</xref>) or CFP (<xref ref-type="bibr" rid="B37">Pangotra et al., 2022b</xref>) have been used for the oxidation of water to hydrogen peroxide.</p>
<p>In addition to the catalyst materials, the choice of electrolyte also plays a decisive role. For example, Fuku et al. investigated the anodic hydrogen peroxide synthesis in different electrolytes and showed that the CE in potassium bicarbonate was significantly higher than in other electrolytes, presumably due to the catalytic role of the bicarbonate ion (<xref ref-type="bibr" rid="B16">Fuku and Sayama, 2016</xref>; <xref ref-type="bibr" rid="B17">Gill et al., 2021a</xref>). <xref ref-type="bibr" rid="B18">Gill et al. (2021b)</xref> later studied different composition of the carbonate buffer in more detail. A carbonate buffer with a KHCO<sub>3</sub> to K<sub>2</sub>CO<sub>3</sub> ratio of 0.125 : 0.875 showed the highest performance, which made it possible to observe high efficiencies of about 50% CE even with longer measurements (up to 3&#xa0;h). A possible reason for the high yields in carbonate-containing electrolytes is the oxidation of the electrolyte itself. For example, bicarbonate could be oxidized to peroxomonocarbonate (<xref ref-type="bibr" rid="B48">Siahrostami et al., 2017</xref>) and carbonate to peroxodicarbonate (<xref ref-type="bibr" rid="B9">Chardon et al., 2017</xref>). These could subsequently react with water to form hydrogen peroxide (<xref ref-type="bibr" rid="B40">Richardson et al., 2000</xref>; <xref ref-type="bibr" rid="B4">Bakhmutova-Albert et al., 2010</xref>). In general, one should assume that when using carbonate-containing solutions in connection with hydrogen peroxide, not only H<sub>2</sub>O<sub>2</sub> is present, but a mixture of peroxo species (<xref ref-type="bibr" rid="B59">Zhao et al., 2018</xref>).</p>
<p>While both oxidative and reductive peroxide generation have mostly been combined with another balancing half-reaction, the obvious approach is to combine both in order to achieve a combined anodic-cathodic peroxide generation process. Such a process has the advantage that it does not produce potentially unwanted products at the other electrode and can achieve up to a combined theoretical current efficiency of 200%. Several approaches to realize this have been published in recent years. In an attempt to produce sodium percarbonate in both half-reactions, <xref ref-type="bibr" rid="B41">Ruiz et al. (2009)</xref> combined a BDD anode and carbon felt cathode in 1&#xa0;M Na<sub>2</sub>CO<sub>3</sub> electrolyte, separated by a cation-exchange membrane. However, they applied very high cell voltages of up to 10&#xa0;V and only observed approximately 60% total peroxide formation efficiency, less than what is typically observed with solely a GDE cathode. Another study also deals with the use of a peroxide-forming photoanode in combination with cathodic peroxide formation. <xref ref-type="bibr" rid="B26">Jeon et al. (2020)</xref> combined a P-Mo-co-doped BiVO<sub>4</sub> photoanode with an anthraquinone- and CNT-modified carbon cathode. They employed 1&#xa0;M NaHCO<sub>3</sub> electrolytes for both half-reaction but separated by a Nafion membrane. However, due to the limited current at the photoanode (approx. 180&#xa0;&#x3bc;A&#xa0;cm<sup>&#x2212;2</sup>), the maximum peroxide formation rate was very limited at 0.21&#xa0;&#x3bc;mol&#xa0;cm<sup>&#x2212;2</sup> min<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B26">Jeon et al., 2020</xref>). A similar attempt but with mixed electrolytes in both half-reactions has been reported but again with relatively low production rates of 0.48&#xa0;&#x3bc;mol&#xa0;cm<sup>&#x2212;2</sup> min<sup>&#x2212;1</sup>, albeit at high CE of around 140% (<xref ref-type="bibr" rid="B47">Shi et al., 2018</xref>). Using an external bias potential, the production rate was increased to 7.3&#xa0;&#x3bc;mol&#xa0;cm<sup>&#x2212;2</sup> min<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B47">Shi et al., 2018</xref>).</p>
<p>All these studies have in common that they employ separated half-cells, sometimes even with different electrolytes. However, using different electrolytes (particularly with different pH values) is challenging and puts high demands on the employed membrane. Crossover is eventually inevitable and will cause a loss of efficiency or require frequent electrolyte regeneration. This would not be an issue if both half-reactions used the same electrolyte. In this case, it may also be possible to omit the membrane altogether, saving greatly on costs and complexity of the system. There are only few reports so far on such a system, for example, employing a WO<sub>3</sub>/BiVO<sub>4</sub> photoanode and gold cathode in a shared 2&#xa0;M KHCO<sub>3</sub> electrolyte (<xref ref-type="bibr" rid="B13">Fuku et al., 2017b</xref>). Unfortunately, they report only very short experiments of only a few minutes duration and just 200&#xa0;&#xb5;M of hydrogen peroxide formed so it is difficult to evaluate its feasibility and long-term performance. A particularly interesting system was published by Xia et al., which used a hydrophobized carbon paper anode in combination with a GDE in a membrane-free flow-cell using sodium carbonate electrolyte (<xref ref-type="bibr" rid="B56">Xia et al., 2020</xref>). They achieved a high specific production rate of 24&#xa0;&#x3bc;mol&#xa0;min<sup>&#x2212;1</sup> at a CE of 144% but only used a very small anode (0.42&#xa0;cm<sup>2</sup>) and a very high electrolyte flow rate, leading to only diluted product solutions (maximum of 4.8&#xa0;mM) (<xref ref-type="bibr" rid="B56">Xia et al., 2020</xref>). Unfortunately, the anode material also proved unstable and had to be replaced regularly in long-term experiments (<xref ref-type="bibr" rid="B56">Xia et al., 2020</xref>). Nonetheless, this report shows significant potential for membrane-less approaches. <xref ref-type="bibr" rid="B35">Ling et al. (2023)</xref> also reported a total CE of 153% in a combined approach, employing similar carbon-based electrodes and a Nafion membrane. In a membrane-free set-up, they achieved a CE of 136%, albeit with similar stability problems as the system only lasted for 4&#xa0;h of operation.</p>
<p>We therefore investigated the feasibility of achieving an efficient membrane-less combined anodic-cathodic peroxide generation system using the same electrolyte for both half-reactions and a more stable oxide-based anode material (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>A schematic structure of the experimental cell with the respective reactions taking place. At the anode, water and hydrogen carbonate are oxidized to hydrogen peroxide and peroxymonocarbonate. At the cathode (GDE), hydrogen peroxide is reductively produced from oxygen gas supplied to the gas diffusion layer.</p>
</caption>
<graphic xlink:href="fctls-04-1353746-g001.tif"/>
</fig>
</sec>
<sec sec-type="results|discussion" id="s2">
<title>Results and discussion</title>
<p>To design an efficient peroxide generating cell that can operate using a shared electrolyte, the individual half-reactions were studied first. The electrolyte of choice is a concentrated carbonate electrolyte at pH 11.3 comprising 0.5&#xa0;M KHCO<sub>3</sub> and 3.5&#xa0;M K<sub>2</sub>CO<sub>3</sub>. This has so far been reported to achieve amongst the highest current efficiencies for anodic peroxide generation over BDD- and FTO-based anodes (<xref ref-type="bibr" rid="B18">Gill et al., 2021b</xref>). As anodes, InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub> electrodes on FTO substrates (<xref ref-type="sec" rid="s10">Supplementary Figure S1</xref>) were employed which have previously been reported as an efficient material at pH 8.3 in bicarbonate (<xref ref-type="bibr" rid="B36">Miyase et al., 2020</xref>). The often-reported BiVO<sub>4</sub> is not an option in this case as it is only stable up to about pH 10 (<xref ref-type="bibr" rid="B28">Kim and Lee, 2019</xref>).</p>
<p>As cathode, commercial gas diffusion electrodes (GDEs) from Gaskatel were used. The experiments were performed either in a single (membrane-less) or double (with membrane) H-cell (see <xref ref-type="sec" rid="s10">Supplementary Figures S2&#x2013;S4</xref>).</p>
<p>First, the current-voltage characteristics have been determined. As can be seen in <xref ref-type="fig" rid="F2">Figure 2</xref>, the anode has a significantly higher overpotential than the cathode. At 0.1&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup> the anodic overpotential is 640&#xa0;mV with a slope of 384&#xa0;mV&#xa0;decade<sup>&#x2212;1</sup> up to about 10&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup>, where it rapidly increases. In contrast, the cathode shows a modest overpotential of only 280&#xa0;mV up to about 1&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup> with a shallower slope than the anode afterwards. Consequently, the anode was used as the working electrode in subsequent experiments due to its higher sensitivity to the applied voltage.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Electrode potential in dependence of the current density for both half-cells given in a half-logarithmic plot obtained via linear sweep voltammetry (LSV) in an unseparated cell with InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO as anode (2.4&#xa0;cm<sup>&#x2212;2</sup>) and a GDE with carbon black as cathode (geometrical area 4.9&#xa0;cm<sup>2</sup>). Polarization was performed against Ag/AgCl/KCl(sat.) in carbonate buffer under stirring with 0.5&#xa0;M KHCO<sub>3</sub> and 3.5&#xa0;M K<sub>2</sub>CO<sub>3</sub> at a pH of 11.3. The cell volume was 120&#xa0;mL of electrolyte solution. In the gas chamber of the GDE, humidified oxygen was offered in the GDE with an overpressure of 15&#xa0;mbar. The dotted lines represent the equilibrium potentials for each reaction for these conditions (<xref ref-type="bibr" rid="B49">Siahrostami et al., 2020</xref>). See <xref ref-type="sec" rid="s10">Supplementary Figures S5, S6</xref> for the corresponding linear sweep voltammograms.</p>
</caption>
<graphic xlink:href="fctls-04-1353746-g002.tif"/>
</fig>
<p>In the initial experiments, the strongly concentrated carbonate electrolyte led to precipitation or efflorescence of carbonate salts inside and on the gas-side surface of the GDE, quickly deactivating it. Presumably, this is a consequence of water evaporation into the oxygen gas stream and could be prevented by pre-humidifying the oxygen gas stream above the point of deliquescence for potassium carbonate (44% r.h.) (<xref ref-type="bibr" rid="B29">Kim et al., 1995</xref>). However, full water saturation (100% r.h.) is not recommended as it can lead to continuous water uptake of the electrolyte and &#x201c;drowning&#x201d; of the GDE. With the minor modification of gas pre-humidification, no major issues were encountered using the carbonate electrolyte for the cathode reaction.</p>
<p>Initial screening with InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub> electrodes identified a potential of 2.385&#xa0;V vs. Ag/AgCl as suitable for efficient anodic peroxide generation and was therefore used as a starting point for this study as well (<xref ref-type="bibr" rid="B18">Gill et al., 2021b</xref>). At this potential, a stable current density of about 10&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup> was achieved (<xref ref-type="sec" rid="s10">Supplementary Figure S7</xref>). This is also the point where the overpotential starts to significantly increase (see <xref ref-type="fig" rid="F2">Figure 2</xref>). Meanwhile, the potential of the cathode is at approx. &#x2212;0.2&#xa0;V vs. Ag/AgCl at this current density, estimated from the I-V curves. The total cell voltage is thus estimated at approx. 2.6&#xa0;V.</p>
<p>Under these conditions, peroxides are generated both in the cathode and anode compartment in the divided cell using a cation exchange membrane (<xref ref-type="fig" rid="F3">Figure 3</xref>). In both cases, the peroxide formation was linear over the investigated time of almost 4&#xa0;h. Due to the electrolyte being concentrated carbonate, there will also be significant concentrations of percarbonates (peroxomonocarbonate, peroxodicarbonate) present alongside hydrogen peroxide. As the employed analytic methods are not specific for either, only total peroxide is discussed in the following. During the experiment (and also all subsequent ones), gas evolution was observable at the anode, presumably oxygen gas being formed from water (over)oxidation.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The total peroxide concentration and the CE plotted against the passed charge. <bold>(A)</bold> Peroxide production in the anode compartment of an InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO electrode (2.4&#xa0;cm<sup>2</sup>). <bold>(B)</bold> Peroxide production in the cathode compartment of a GDE with carbon black (4.9&#xa0;cm<sup>&#x2212;2</sup>). Chronocoulometry with InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO as working electrode. Polarization was carried out at 2.385&#xa0;V vs. Ag/AgCl (3.25&#xa0;V vs. RHE) in stirred carbonate buffer with 0.5&#xa0;M KHCO<sub>3</sub> and 3.5&#xa0;M K<sub>2</sub>CO<sub>3</sub> at a pH of 11.3. The anode and cathode compartments each contained 120&#xa0;mL of electrolyte solution and were separated from one another by a cation exchange membrane. In the gas room of the GDE, humidified oxygen was offered at 15&#xa0;mbar overpressure. The current during the experiment is shown in <xref ref-type="sec" rid="s10">Supplementary Figure S7</xref> for the anode. Error bars indicate the results of repeated peroxide analysis (<italic>n</italic> &#x3d; 2&#x2013;3) of this singular electrochemical experiment. For repeated experiments under these conditions, refer to <xref ref-type="sec" rid="s10">Supplementary Figure S8</xref>. The interpolated lines between the data points only serve as a visual guide.</p>
</caption>
<graphic xlink:href="fctls-04-1353746-g003.tif"/>
</fig>
<p>The cathode achieved almost quantitative peroxide formation with 86% CE at a final concentration of 12.5&#xa0;mM (<xref ref-type="fig" rid="F3">Figure 3B</xref>). Under the corresponding conditions, similar results could be achieved reproducibly with different amounts of charge.</p>
<p>The anode delivered a significantly lower current efficiency of 50%, yielding 7.3&#xa0;mM peroxide during the experiment lasting until a charge of 330&#xa0;C was passed. This lower performance is not surprising as the selective 2-electron water oxidation reaction is much more difficult to realize without significant overoxidation to oxygen. To prevent overoxidation, usually semiconducting electrodes are used which favor single electron transfer due to their much lower charge carrier density compared to metal or carbon-based electrodes (<xref ref-type="bibr" rid="B6">Beranek, 2019</xref>).</p>
<p>The carbonate electrolyte has also been reported to play a major role here. Presumably, carbonate and bicarbonate are adsorbed on the electrode surface and thereby reduce water coverage, suppressing the direct water oxidation. (<xref ref-type="bibr" rid="B12">Fan et al., 2022</xref>; <xref ref-type="bibr" rid="B21">Guo et al., 2022</xref>; <xref ref-type="bibr" rid="B34">Li et al., 2023</xref>). Instead, bicarbonate is directly oxidized to peroxomonocarbonate (HCO<sub>4</sub>
<sup>&#x2212;</sup>), either directly (<xref ref-type="bibr" rid="B17">Gill et al., 2021a</xref>) or via a carbonate radical (in carbonate-rich electrolytes such as the present one) (<xref ref-type="bibr" rid="B12">Fan et al., 2022</xref>), Eq. <xref ref-type="disp-formula" rid="e5">5</xref>. The peroxomonocarbonate is subsequently partly hydrolyzed to form hydrogen peroxide, Eq. <xref ref-type="disp-formula" rid="e6">6</xref>. However, due to the high concentration of both bicarbonate and carbonate in the electrolyte, there will always be significant concentrations of peroxomonocarbonate as well as peroxodicarbonate (C<sub>2</sub>O<sub>6</sub>
<sup>2&#x2212;</sup>) present in equilibrium alongside hydrogen peroxide (<xref ref-type="bibr" rid="B44">Schanz et al., 2023</xref>).<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:msubsup>
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<mml:mn>3</mml:mn>
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</mml:msubsup>
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<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:msubsup>
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<mml:mn>4</mml:mn>
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</mml:msubsup>
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</mml:msubsup>
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<mml:mn>2</mml:mn>
</mml:msub>
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</mml:msub>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>As the electrodes are well-covered by carbonate (<xref ref-type="bibr" rid="B18">Gill et al., 2021b</xref>), direct (over-)oxidation of hydrogen peroxide is suppressed, resulting in the higher observed peroxide selectivity. Additionally, the formed percarbonates may also be more resistant to overoxidation than hydrogen peroxide itself.</p>
<p>Since the substrate of the anode (FTO) itself has also a demonstrated activity for anodic peroxide formation (<xref ref-type="bibr" rid="B12">Fan et al., 2022</xref>), a control experiment using bare FTO as the anode was performed. However, this electrode has a significantly later onset and therefore only yielded less than half of the current density (4.5&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup>) and a reduced CE of 39% (<xref ref-type="sec" rid="s10">Supplementary Figure S9</xref>) under the same reaction conditions. This proves that indeed the InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub> coating plays a critical role for the anode performance.</p>
<p>If both half-cells are taken together, the total combined current efficiency amounts to 138%. The average peroxide concentration was 9.9&#xa0;mM but with a higher concentration in the cathode compartment. This already demonstrates that higher-than-unity efficiency is possible for electrochemical peroxide production. Interestingly, in these experiments no sign of deactivation or decreased activity at higher peroxide concentrations was yet observed.</p>
<p>Since presumably, both in the anode and the cathode, the same species are formed (hydrogen peroxide, peroxomonocarbonate, peroxodicarbonate), this begs the question if the membrane is actually needed to prevent electrolyte mixing. An undivided cell is particularly interesting for technical applications since the membrane does not only present a significant cost factor, (<xref ref-type="bibr" rid="B32">Krishnan et al., 2023</xref>), but also increases cell resistance, sealing points and may reduce cell lifetime. (<xref ref-type="bibr" rid="B22">Hadikhani et al., 2021</xref>). Therefore, membrane-less cell are significantly easier and less expensive to produce. Therefore, the next set of experiments was conducted in an undivided cell without a membrane. The polarization was carried out under the same conditions as those with a membrane (anode potential 2.385&#xa0;V vs. Ag/AgCl, current density of about 10&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup>). This time, however, the anode and cathode reactions took place in a shared reaction chamber and were not separated from one another by a membrane.</p>
<p>As illustrated in <xref ref-type="fig" rid="F4">Figure 4</xref>, this configuration achieved a combined CE of 144%, showing virtually the same combined efficiency as in the case of the divided cell. During the reaction, a concentration of 35.5&#xa0;mM was reached, the higher concentration being due to a longer experimental period, but also a lower electrolyte volume compared to the divided cell. Over the course of the experiment (up to 560&#xa0;C), the peroxide concentration increased linearly, with the CE being nearly constant. Again, no significant reduction in the current density was observed over the course of more than 6&#xa0;h (<xref ref-type="sec" rid="s10">Supplementary Figure S10</xref>), indicating that the system is stable, and the electrodes do not degrade under these conditions. These results correspond to a remarkable production rate of 4.41, 2.16 or 1.45&#xa0;&#x3bc;mol&#xa0;cm<sup>&#x2212;2</sup> min<sup>&#x2212;1</sup> depending on whether only the active area of the anode, GDE or both combined are taken as reference.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Total formed peroxide over passed charge, using an InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO electrode (2.4&#xa0;cm<sup>2</sup>) as anode. A GDE with carbon black (4.9&#xa0;cm<sup>&#x2212;2</sup>) was used as the cathode. Polarization was carried out at 2.385&#xa0;V vs. Ag/AgCl (3.25&#xa0;V vs. RHE) with the anode as working electrode in carbonate buffer while stirring with 0.5&#xa0;M KHCO<sub>3</sub> and 3.5&#xa0;M K<sub>2</sub>CO<sub>3</sub> at a pH of 11.3. The undivided electrode compartment contained 120&#xa0;mL of electrolyte solution. In the gas room of the GDE, humidified oxygen was offered at 15&#xa0;mbar overpressure. The current during the experiment is shown in <xref ref-type="sec" rid="s10">Supplementary Figure S10</xref>. Error bars indicate the results of repeated peroxide analysis (<italic>n</italic> &#x3d; 2&#x2013;3) of this singular electrochemical experiment. For repeated experiments under these conditions, refer to <xref ref-type="sec" rid="s10">Supplementary Figure S11</xref>. The interpolated lines between the data points only serve as a visual guide.</p>
</caption>
<graphic xlink:href="fctls-04-1353746-g004.tif"/>
</fig>
<p>Using the estimated cell voltage of 2.6&#xa0;V (estimated from the half-cell U-I-curves, see <xref ref-type="fig" rid="F2">Figure 2</xref>) as a basis, the overall energy efficiency for peroxide production is 29% in the present case, the specific energy demand being 10.05&#xa0;MJ&#xa0;kg<sup>&#x2212;1</sup> or 2.79&#xa0;kWh kg<sup>&#x2212;1</sup> (hydrogen peroxide equivalent). This is significantly less than the current production process (anthraquinone process) at 17.6&#xa0;kWh kg<sup>&#x2212;1</sup> and thus presents a very favorable alternative (<xref ref-type="bibr" rid="B38">Pangotra et al., 2022a</xref>). Previous studies on the purely anodic peroxide electrolysis also reported significantly higher specific energy consumption of 13&#x2013;40&#xa0;kWh kg<sup>&#x2212;1</sup>, albeit at much higher current densities (<xref ref-type="bibr" rid="B38">Pangotra et al., 2022a</xref>).</p>
<p>Overall, this is about the same performance that was previously observed in the divided cell, suggesting that the membrane is indeed superfluous, and its omission does not have any immediately apparent detrimental effects. However, negative effects may arise at higher peroxide concentration and/or higher potentials which both favor peroxide decomposition.</p>
<p>Therefore, the anode was operated at a higher potential of 3&#xa0;V vs. Ag/AgCl next (corresponding to a cell voltage of approx. 3.35&#xa0;V based on the half-cell U-I-curves) in a subsequent experiment (<xref ref-type="fig" rid="F5">Figure 5</xref>). This resulted in a much higher current density of 17&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup>, which again proved very stable over several hours (<xref ref-type="sec" rid="s10">Supplementary Figure S12</xref>). The initially observed combined CE was slightly lower but still above unity at 125%, indicating that the higher potential leads to a slightly higher rate of overoxidation and thereby lower efficiency.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Total formed peroxide over passed charge, using an InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO electrode (2.4&#xa0;cm<sup>2</sup>) as anode. A GDE with carbon black (4.9&#xa0;cm<sup>2</sup>) was used as the cathode. Polarization was carried out at 3&#xa0;V vs. Ag/AgCl (3.85&#xa0;V vs. RHE) in stirred carbonate buffer with 0.5&#xa0;M KHCO<sub>3</sub> and 3.5&#xa0;M K<sub>2</sub>CO<sub>3</sub> at a pH of 11.3. The electrode compartment contained 100&#xa0;mL of electrolyte solution. In the gas room of the GDE, humidified oxygen was offered at 15&#xa0;mbar overpressure. The current during the experiment is shown in <xref ref-type="sec" rid="s10">Supplementary Figure S12</xref>. Error bars indicate the results of repeated peroxide analysis (<italic>n</italic> &#x3d; 2&#x2013;3) of this singular electrochemical experiment. For repeated experiments under these conditions, refer to <xref ref-type="sec" rid="s10">Supplementary Figure S13</xref>. The interpolated lines between the data points only serve as a visual guide.</p>
</caption>
<graphic xlink:href="fctls-04-1353746-g005.tif"/>
</fig>
<p>Due to the increased current density resulting from the higher potential applied at the anode, this experiment also yielded higher peroxide concentrations in the same timeframe, exceeding 50&#xa0;mM. Up to a concentration of about 35&#xa0;mM, the current efficiency stayed constant, but then began to level off with reduced efficiency so that the last data point with 52.5&#xa0;mM only affords a combined CE of 72%. Kinetic analysis using a simple zero order formation, first order degradation approach (<xref ref-type="bibr" rid="B8">Burek et al., 2019</xref>) estimates the equilibrium concentration at around 58&#xa0;mM, which is similar to what has been observed for BDD anodes (<xref ref-type="bibr" rid="B38">Pangotra et al., 2022a</xref>).</p>
<p>Due to the higher current density and only moderately lower efficiency, the production rate in this case reached even higher values of 2.24&#xa0;&#x3bc;mol&#xa0;cm<sup>&#x2212;2</sup> min<sup>&#x2212;1</sup> calculated with the combined electrode surface area. However, this value was obtained after 490&#xa0;C, in longer experiments the production rate drops alongside the efficiency. The energy efficiency is significantly lower in this case at 20%, both due to the reduced CE and the higher cell voltage. Even though the specific energy demand is still rather low in this case with 4.11&#xa0;kWh kg<sup>&#x2212;1</sup>, this highlights that for higher current densities, more efficient catalysts and electrode designs are required to combat the steep increase in cell voltage seen here for &#x3e;10&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup>, particularly at the anode.</p>
</sec>
<sec sec-type="conclusion" id="s3">
<title>Conclusion</title>
<p>The combination of anodic and cathodic peroxide production would be an ideal way to make the process more efficient, as a combined current efficiency of up to 200% can be achieved by replacing the other unproductive half-reaction (water oxidation to oxygen). However, so far this has only been realized with a fraction of the efficiency and in different electrolyte systems, which require a suitable and expensive membrane. We have shown that the cathodic peroxide generation is also possible with high efficiency using a gas-diffusion electrode in the carbonate/bicarbonate electrolyte solution, which is the current state-of-the-art electrolyte solution in anodic peroxide production. This reduces the requirements of the membrane as cross-over will no longer be a major concern. Interestingly, even completely omitting the membrane and working in a shared electrolyte did not show any significant detrimental effects. This greatly reduces the complexity and costs of the resulting devices and eliminates the membrane resistance.</p>
<p>Overall, the combination of the highly efficient cathodic process with a CE of up to 93% and the anodic peroxide process with up to 57% CE resulted in a combined efficiency of up to 144%, which represents a new benchmark for membrane-less combined peroxide synthesis using oxide-based anode materials. In the measurements shown here, both processes demonstrate that they are stable for at least several hours and show a linear peroxide formation rate. Further experiments showed reproducible results. In the measurements shown here, the efficiency only decreases at concentrations upwards of 35&#xa0;mM, where overoxidation most likely begins to reduce the overall efficiency. The highest peroxide concentration achieved in the membrane-less cell in the measurements shown here was 52.5&#xa0;mM, which equals 1.8&#xa0;g&#xa0;L<sup>&#x2212;1</sup> or 0.18&#xa0;wt.%. The specific energy demand for peroxide production was very low at only 2.8&#xa0;kWh kg<sup>&#x2212;1</sup> in the best case, which is far below the value of the current anthraquinone production process (17.6&#xa0;kWh kg<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="B38">Pangotra et al., 2022a</xref>). This demonstrates the immense potential of electrochemical peroxide synthesis to improve efficiency and reduce costs for peroxides.</p>
<p>While the achieved concentrations seems still too low for many applications and likely requires further processing to achieve higher concentrations, it should be kept in mind that due to the carbonate electrolyte system, significant concentrations of percarbonates (peroxomonocarbonate, peroxodicarbonate) will be present (<xref ref-type="bibr" rid="B41">Ruiz et al., 2009</xref>; <xref ref-type="bibr" rid="B44">Schanz et al., 2023</xref>). These have much higher reaction rates than hydrogen peroxide versus many target compounds, e.g., 300-fold vs. sulfides (<xref ref-type="bibr" rid="B40">Richardson et al., 2000</xref>) or 250-fold vs. methylene blue (<xref ref-type="bibr" rid="B44">Schanz et al., 2023</xref>), so the reactivity (and thereby usability) of the as-prepared peroxide solutions from this process may be much higher than the concentration implies. Future optimization should focus on further increasing the anode current efficiency and suppressing the overoxidation of the peroxides to improve the overall process efficiency and enable higher maximum concentrations. Higher current densities are also desired for industrial applications, however, it has already been shown that industrially relevant current densities are achievable in similar systems (<xref ref-type="bibr" rid="B12">Fan et al., 2022</xref>).</p>
</sec>
<sec id="s4">
<title>Experimental details</title>
<sec id="s4-1">
<title>Peroxide quantification method</title>
<p>As peroxide quantification method we used a colorimetric iodometry method (<xref ref-type="bibr" rid="B57">Xiao et al., 2019</xref>). For this purpose, 100&#xa0;&#xb5;L of a sample taken from the electrolyte were mixed with 135&#xa0;&#xb5;L pH 4.1 potassium phosphate (Carl Roth) buffer, 10&#xa0;&#xb5;L 1.2&#xa0;M potassium iodide (Alfa Aesar) solution and 5&#xa0;&#xb5;L of a 35&#xa0;mM Mo<sup>VI</sup> solution [Ammonium molybdate (VI) tetrahydrate, Acros Organics] into a 96-well plate (F-Well, transparent, polystyrene). The absorbance of the resulting triiodide can then be measured at 350&#xa0;nm and compared to that of a calibration with an H<sub>2</sub>O<sub>2</sub> standard (concentration range 5&#x2013;70&#xa0;&#xb5;M) in this electrolyte solution (<xref ref-type="sec" rid="s10">Supplementary Figure S14</xref>). As previously established, this method detects both hydrogen peroxide and percarbonates indiscriminately (<xref ref-type="bibr" rid="B59">Zhao et al., 2018</xref>).</p>
</sec>
<sec id="s4-2">
<title>Preparation of InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO anodes</title>
<p>The InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO electrodes were manufactured using spin coating followed by calcination (<xref ref-type="bibr" rid="B26">Jeon et al., 2020</xref>). First, the FTO substrates (Sigma-Aldrich, 2.3&#xa0;mm thickness, surface resistivity 7&#xa0;&#x3a9;/sq) were cleaned in an acetone/water mixture (50:50) using an ultrasonic bath. Then the CuSb<sub>2</sub>O<sub>x</sub> precursor solution was first applied to the substrate by means of spin-coating (POLOS SPIN150i, 1,000&#xa0;rpm, 15 s, 30&#xa0;&#x3bc;L&#xa0;cm<sup>-2</sup>). After applying the precursor solution, the substrates were calcined in air at 973&#xa0;K for 30&#xa0;min. After applying the CuSb<sub>2</sub>O<sub>x</sub> layer, the InSbO<sub>x</sub> layer was applied with the same parameters. The subsequent calcination took place at 923&#xa0;K for 30&#xa0;min. The preparation of the CuSb<sub>2</sub>O<sub>x</sub> precursor solution was accomplished by dispersing the respective metal oxides (CuO-200 mesh powder and Sb<sub>2</sub>O<sub>5</sub> obtained from Thermo Fisher Scientific) at a concentration of 0.2&#xa0;M total concentration in an Sb/Cu molar ratio of 2.0, in butyl acetate. The InSbO<sub>x</sub> precursor solution was prepared in the same way with In<sub>2</sub>O<sub>3</sub> (obtained from Thermo Fisher Scientific, &#x2212;325 mesh powder) and Sb<sub>2</sub>O<sub>5</sub>, but the ratio of the two metals to each other is 1:1. The corresponding electrode was contacted with an alligator clip (<xref ref-type="sec" rid="s10">Supplementary Figure S15</xref>).</p>
</sec>
<sec id="s4-3">
<title>Preparation of gas diffusion electrodes</title>
<p>The cathode was a carbon black GDE from gaskatel (PerOx, Hydrogen peroxide electrode with PTFE layer). For the experiments, the PTFE layer on the GDE was carefully peeled off by hand as the high hydrophobicity was not needed in the small cell. A suitable piece of the electrode was then cut out and inserted into the H-cell.</p>
</sec>
<sec id="s4-4">
<title>Electrochemical experiments</title>
<p>The electrochemical experiments were carried out in a single or double H-cell glass reactor similar to those reported before <xref ref-type="bibr" rid="B30">Klein et al. (2023)</xref>, <xref ref-type="bibr" rid="B45">Schneider and St&#xf6;ckl (2024)</xref>. Two or three 100&#xa0;mL cylindrical capped flasks were customized with horizontal glass flanges which were used to connect them (see <xref ref-type="sec" rid="s10">Supplementary Figures S2&#x2013;S4</xref>) and secured with clamps. In the case of the separated cell, 3 flasks were used (see <xref ref-type="sec" rid="s10">Supplementary Figures S2B, S3</xref>). The left flask (anode chamber) contained the anode (InSbO<sub>x</sub>/CuSb<sub>2</sub>O<sub>x</sub>/FTO slides, 2.4&#xa0;cm<sup>2</sup>) which was directly immersed in the electrolyte comprising 0.5&#xa0;M KHCO<sub>3</sub> and 3.5&#xa0;M K<sub>2</sub>CO<sub>3</sub> (pH &#x3d; 11.3). The middle flask (cathode chamber) contained the same electrolyte, and the membrane (Fumatech fumasep F-10120-PK, 4.9&#xa0;cm<sup>2</sup>) was sandwiched between the flanges of the anode and cathode chambers. The cathode was a gas-diffusion electrode (gaskatel, 4.9&#xa0;cm<sup>2</sup>), which was sandwiched between the flanges of the cathode and gas chambers (right flask). The latter contained only oxygen, to humidify the oxygen gas stream prior to supplying it to the GDE cathode, it was passed through a water column. Similarly, 15&#xa0;mbar of overpressure was realized with the pressure of a water column at the outlet of the gas stream. Both the anode and cathode chambers were stirred using a magnetic stirring bar. In the case of the membrane-less setup, only two flasks were employed (see <xref ref-type="sec" rid="s10">Supplementary Figures S2A, S4</xref>). In this case, the membrane and the cathode chamber were omitted. Instead, the gas diffusion electrode (cathode) is located between the anode and gas chamber. The experiments were run with a Zahner Zennium-E4 potentiostat at a constant potential of 2.385&#xa0;V or 3&#xa0;V vs. Ag/AgCl (chronocoulometry). The electrochemical experiments were all performed at room temperature and with stirring. The reference electrode was an Ag/AgCl electrode with saturated KCl solution (Meinsberg, SE21-L), which was positioned with a luggin capillary directly in front of the respective working electrode (<xref ref-type="sec" rid="s10">Supplementary Figure S2</xref>). The current curves and duration of the respective experiments can be found in the <xref ref-type="sec" rid="s10">Supplementary Figures S7, S9, S10, S12</xref>. In the LSV measurements, starting from 0&#xa0;V vs. Ag/AgCl, the potential was increased by 50&#xa0;mV&#xa0;s<sup>&#x2212;1</sup> anodically (up to 3.5&#xa0;V vs. Ag/AgCl) and cathodically (down to &#x2212;0.5&#xa0;V vs. Ag/AgCl).</p>
</sec>
<sec id="s4-5">
<title>Calculation of energy efficiency</title>
<p>Energy efficiency of peroxide formation (<inline-formula id="inf1">
<mml:math id="m7">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) was calculated as follows. For simplicity, we assume all products are hydrogen peroxide. The decomposition/combustion enthalpy (<inline-formula id="inf2">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>) of H<sub>2</sub>O<sub>2</sub> is &#x2212;98&#xa0;kJ&#xa0;mol<sup>&#x2212;1</sup> (calculated from heats of formation) (<xref ref-type="bibr" rid="B23">Haynes, 2010</xref>) and was taken as measure for the energy stored in the products, together with the amount of formed peroxide (<inline-formula id="inf3">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>). Energy input is calculated according to the cell voltage (<inline-formula id="inf4">
<mml:math id="m10">
<mml:mrow>
<mml:mi>U</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) and the passed charge (<inline-formula id="inf5">
<mml:math id="m11">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>):<disp-formula id="equ1">
<mml:math id="m12">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#x394;</mml:mo>
</mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>U</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>Specific energy consumption per product formed (<inline-formula id="inf6">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) was calculated similarly using the molecular mass of hydrogen peroxide (<inline-formula id="inf7">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>):<disp-formula id="equ2">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>TS: Conceptualization, Data curation, Investigation, Methodology, Visualization, Writing&#x2013;original draft, Writing&#x2013;review and editing. MS: Conceptualization, Methodology, Writing&#x2013;review and editing. BB: Conceptualization, Supervision, Writing&#x2013;review and editing. DH: Conceptualization, Methodology, Writing&#x2013;review and editing. JB: Conceptualization, Funding acquisition, Methodology, Project administration, Supervision, Writing&#x2013;original draft, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The authors declare that financial support was received for the research, authorship, and/or publication of this article. The authors are grateful for financial support by the German Ministry of Education and Research (BMBF) within the project &#x201c;CO<sub>2</sub>SimO&#x201d; (grant no. 033RC029C).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fctls.2024.1353746/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fctls.2024.1353746/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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