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			<titleStmt><title level='a'>Recommendations for best practice for iron speciation by competitive ligand exchange adsorptive cathodic stripping voltammetry with salicylaldoxime</title></titleStmt>
			<publicationStmt>
				<publisher>Elsevier</publisher>
				<date>02/01/2024</date>
			</publicationStmt>
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				<bibl> 
					<idno type="par_id">10514131</idno>
					<idno type="doi">10.1016/j.marchem.2023.104348</idno>
					<title level='j'>Marine Chemistry</title>
<idno>0304-4203</idno>
<biblScope unit="volume">259</biblScope>
<biblScope unit="issue">C</biblScope>					

					<author>Léo Mahieu</author><author>Dario Omanović</author><author>Hannah Whitby</author><author>Kristen N Buck</author><author>Salvatore Caprara</author><author>Pascal Salaün</author>
				</bibl>
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		<profileDesc>
			<abstract><ab><![CDATA[The method of competitive ligand exchange followed by adsorptive cathodic stripping voltammetry (CLEAdCSV) allows for the determination of dissolved iron (DFe) organic speciation parameters, i.e., ligand concentration (LFe) and conditional stability constant (log Kcond Fe′L ). Investigation of DFe organic speciation by CLEAdCSV has been conducted in a wide range of marine systems, but aspects of its application pose challenges that have yet to be explicitly addressed. Here, we present a set of observations and recommendations to worktoward establishing best practice for DFe organic speciation measurements using the added ligand salicylaldoxime (SA). We detail conditioning procedures to ensure a stable AdCSV signal and discuss the processes at play during conditioning. We also present step-by-step guidelines to simplify CLE-AdCSV data treatment and interpretation using the softwares ECDSoft and ProMCC and a custom spreadsheet. We validate our application and interpretation methodology with the model siderophore deferoxamine B (DFO-B) in a natural seawater sample. The reproducibility of our application and interpretation methodology was evaluated by runningduplicate titrations on 19 samples, many of which had been refrozen prior to the duplicate analysis. Nevertheless, 50% of the duplicate analyses agreed within 10% of their relative standard deviation (RSD), and up to 80% within 25% RSD, for both LFe and log KcondFe′L . Finally, we compared the sequential addition and equilibration of DFe and SA with overnight equilibration after simultaneous addition of DFe and SA on 24 samples. We found arather good agreement between both procedures, with 60% of samples within 25% RSD for LFe (and 43% of samples for log KcondFe′L ), and it was not possible to predict differences in LFe or log KcondFe′L based on the method applied, suggesting specific association/dissociation kinetics for different ligand assemblages. Further investigation of the equilibration kinetics against SA may be helpful as a potential way to distinguish natural ligand assemblages.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>Iron (Fe) is an essential micronutrient for phytoplankton growth <ref type="bibr">(Morel and Price, 2003;</ref><ref type="bibr">Twining and Baines, 2013)</ref>, limiting primary productivity in up to 40% of open ocean waters <ref type="bibr">(Moore et al., 2013)</ref>. A fraction of the dissolved organic matter (DOM) is able to bind Fe and enhance its dissolution in seawater above the theoretical solubility limit <ref type="bibr">(Liu and Millero, 2002)</ref>. This complexation maintains Fe in the dissolved phase (DFe, defined by the porosity of the filter used of 0.2 or 0.45 &#956;m), increasing its residence time in the water column and thus its potential bioavailability. It is thought that &gt;99% of DFe is bound to the fraction of the DOM that acts as Fe-binding ligands (FeL; <ref type="bibr">Gledhill and van den Berg, 1994)</ref>, however, there is still much to learn about ligand composition and biogeochemical cycling <ref type="bibr">(Gledhill and Buck, 2012;</ref><ref type="bibr">Hassler et al., 2017)</ref>. Multiple studies have focused on aspects of the organic iron ligand pool, from acid-base properties <ref type="bibr">(Lodeiro et al., 2020;</ref><ref type="bibr">Wang et al., 2021)</ref> to photodegradation <ref type="bibr">(Barbeau et al., 2001;</ref><ref type="bibr">Hassler et al., 2019)</ref>, or transformation through remineralisation <ref type="bibr">(Bressac et al., 2019;</ref><ref type="bibr">Whitby et al., 2020a)</ref>. A considerable number of electrochemical methods have been developed to investigate and identify FeL groups. So far, studies have helped to define the ability of exopolymeric substances to bind Fe <ref type="bibr">(Hassler et al., 2015;</ref><ref type="bibr">Hassler et al., 2011;</ref><ref type="bibr">Norman et al., 2015)</ref>, and to identify the essential role of the electroactive fraction of humic-like substances (eHS), thought to control DFe distribution in open-ocean deep waters <ref type="bibr">(Whitby et al., 2020b)</ref>. Other techniques have been compared to electrochemical methods to assess the contribution of ligands such as siderophores <ref type="bibr">(Bundy et al., 2018)</ref> or the fluorescent fraction of HS <ref type="bibr">(Heller et al., 2013)</ref>, but FeL and DFe distribution are not fully resolved despite these efforts (e.g., <ref type="bibr">Bundy et al., 2015;</ref><ref type="bibr">Fourrier et al., 2022a;</ref><ref type="bibr">Dulaquais et al., 2023)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.1.">The CLE-AdCSV approach</head><p>The competitive ligand exchange followed by adsorptive cathodic stripping voltammetry (CLE-AdCSV) is classically used to investigate the complexing properties of the FeL fraction. Namely, it allows the determination of the conditional total ligand concentration (L Fe in nmoleqFe L -1 ; nMeqFe) and the conditional stability constant (expressed as a logarithmic value and relative to inorganic Fe (Fe&#180;), log K cond Fe&#8242;L ). The CLE-ACSV approach has been thoroughly explained previously (e.g., <ref type="bibr">Gledhill and van den Berg, 1994;</ref><ref type="bibr">Rue and Bruland, 1995;</ref><ref type="bibr">Abualhaija and van den Berg, 2014;</ref><ref type="bibr">Gerringa et al., 2014;</ref><ref type="bibr">Pi&#382;eta et al., 2015)</ref>. Briefly, its principle is based on the competition for Fe complexation between the natural FeL and an added ligand (AL) of well-characterised ability to bind Fe. This competition is carried out in several aliquots of the sample at increasing DFe concentration resulting in a chemical equilibrium being reached between AL, FeL and DFe. Then, for each aliquot, the FeAL complex is quantified by AdCSV on a hanging mercury drop electrode (HMDE). The measurement consists of an accumulation step, where FeAL adsorbs on the mercury surface, before a stripping step, where adsorbed and bound Fe(III) is reduced to Fe(II). By plotting the intensity of the FeAL reduction peak against total DFe, a titration curve is obtained (total DFe being the sum of naturally present and added DFe). At high DFe concentrations in the titration curve, if natural FeL are saturated, the FeAL signal is considered as linear and proportional to DFe additions while at low DFe, L Fe and AL are competing for DFe (e.g., Fig. <ref type="figure">2</ref>.1 in <ref type="bibr">Mahieu, 2023)</ref>. There are several methods that can be used to obtain L Fe and log K cond Fe&#8242;L from the titration curve <ref type="bibr">(Pi&#382;eta et al., 2015)</ref>, but those based on the Langmuir isotherm are the most commonly used, greatly facilitated by user-friendly software such as ProMCC <ref type="bibr">(Omanovi&#263; et al., 2015)</ref>. This software presents the titration curve simultaneously obtained by the Scatchard transformation <ref type="bibr">(Scatchard, 1949)</ref>, the Ru&#382;i&#263;/ van den Berg linearization <ref type="bibr">(Ru&#382;i&#263;, 1982;</ref><ref type="bibr">van den Berg, 1982)</ref>, and the Langmuir/Gerringa transformation <ref type="bibr">(Gerringa et al., 1995</ref><ref type="bibr">(Gerringa et al., , 2014))</ref>, allowing also the user to overlay the fitted titration curves with the experimental data as a visual tool for results verification. The software ProMCC is commonly applied to the interpretation of metal speciation titrations, and the output from ProMCC includes a 95% confidence interval for the results, although there is currently no established procedure for assigning a titration quality control flag, which would be useful for data management archives.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.2.">Added ligand and detection window</head><p>There are currently four AL in use to study DFe organic speciation in marine systems: 1-nitroso-2-naphtol (NN; <ref type="bibr">Gledhill and van den Berg, 1994;</ref><ref type="bibr">van den Berg, 1995)</ref>, 2-(2-thiazolylazo)-p-cresol (TAC; <ref type="bibr">Croot and Johansson, 2000)</ref>, dihydroxynaphthalene (DHN; <ref type="bibr">van den Berg, 2006;</ref><ref type="bibr">Sanvito and Monticelli, 2020)</ref>, and salicylaldoxime (SA; <ref type="bibr">Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007;</ref><ref type="bibr">Abualhaija and van den Berg, 2014)</ref>. They all have specific limitations. NN can be used at different pH but suffers from sensitivity issues <ref type="bibr">(Gledhill et al., 2015;</ref><ref type="bibr">Avenda&#241;o et al., 2016)</ref>. It also does not compete with part of the HS-bound DFe pool, resulting in an underestimation of L Fe <ref type="bibr">(Laglera et al., 2011;</ref><ref type="bibr">Ardiningsih et al., 2021)</ref>, which is a similar problem for the added ligand TAC <ref type="bibr">(Laglera et al., 2011)</ref>. On the other hand, previous studies have suggested an overestimation of L Fe with SA <ref type="bibr">(Slagter et al., 2019;</ref><ref type="bibr">Gerringa et al., 2021)</ref>. DHN is not as widely used because of its relatively quick oxidation by oxygen which occurs within the time scale of the equilibration step <ref type="bibr">(Sanvito and Monticelli, 2020)</ref>.</p><p>The AL concentration <ref type="bibr">([AL]</ref>; in mol L -1 ; M) and its conditional stability constant (K cond  Fe&#8242;AL or &#946; cond Fe&#8242;AL ) defines the detection window of the titration (&#945; FeAL = [AL] n x &#946; cond Fe&#8242;AL ), often expressed as a logarithmic value (log &#945; FeAL ; Table <ref type="table">1</ref>). The range of log &#945; FeAL for which an AL is able to compete with FeL has been estimated to range between 1 and 2 orders of magnitude above and below the calibrated log &#945; FeAL <ref type="bibr">(Apte et al., 1988;</ref><ref type="bibr">van den Berg and Donat, 1992;</ref><ref type="bibr">Miller and Bruland, 1997;</ref><ref type="bibr">Laglera et al., 2013;</ref><ref type="bibr">Laglera and Filella, 2015)</ref>. In the case of SA, higher L Fe than those obtained with TAC or NN are systematically observed <ref type="bibr">(Buck et al., 2016;</ref><ref type="bibr">Slagter et al., 2019;</ref><ref type="bibr">Ardiningsih et al., 2021)</ref>, possibly due to those latter AL being insensitive to a fraction of weaker Fe-complexing HS <ref type="bibr">(Boye et al., 2001;</ref><ref type="bibr">van den Berg, 2006;</ref><ref type="bibr">Laglera et al., 2011;</ref><ref type="bibr">Ardiningsih et al., 2021;</ref><ref type="bibr">Gerringa et al., 2021)</ref>, in agreement with the higher detection window corresponding to TAC and NN applications (Table <ref type="table">1</ref>). SA has been used at the basin scale <ref type="bibr">(Buck et al., 2015</ref><ref type="bibr">(Buck et al., , 2018))</ref>, in hydrothermal systems <ref type="bibr">(Kleint et al., 2016)</ref>, and does not clearly suffer from interference with HS <ref type="bibr">(Laglera et al., 2011;</ref><ref type="bibr">Abualhaija and van den Berg, 2014)</ref>. There are, however, uncertainties regarding its chemistry and the optimum experimental conditions. Abualhaija and van den Berg (2014) suggested that a non-electroactive FeSA 2 complex slowly forms during the overnight equilibration step when using SA concentrations in the range of 25 &#956;M, which was not experimentally attested; they advised to use a low SA concentration (5 &#956;M) to limit any formation of FeSA 2 .</p><p>Their equilibration procedure consisted of first adding DFe to the aliquot, leave it to equilibrate with the natural ligands for at least 10 min (and not &gt;2 h), followed by addition of 5 &#956;M SA and overnight equilibration (i.e. from 6 h to 16 h). On the other hand, <ref type="bibr">Rue and Bruland (1995)</ref> and <ref type="bibr">Buck et al. (2007)</ref> reported a shorter sequential equilibration procedure: DFe is first added and left to equilibrate with natural ligands for a minimum of 2 h; a relatively high SA concentration (27.5 &#956;M or 25 &#956;M) is then added and left to equilibrate for at least 15 min before starting voltametric analysis. Both these approaches have been applied to the accurate characterization of model ligands <ref type="bibr">(Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2010;</ref><ref type="bibr">Abualhaija and van den Berg, 2014;</ref><ref type="bibr">Bundy et al., 2018)</ref>. Nevertheless, the two equilibration procedures have not yet been directly compared for determination of L Fe and log K cond Fe&#8242;L at similar SA concentration. Although the FeSA signal has been reported to be stable in the presence of oxygen <ref type="bibr">(Abualhaija and van den Berg, 2014)</ref>, a decreasing signal has been reported by several authors <ref type="bibr">(Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007;</ref><ref type="bibr">Ardiningsih et al., 2021;</ref><ref type="bibr">Gerringa et al., 2021)</ref>. This instability may have various causes, ranging from progressive deoxygenation of the sample <ref type="bibr">(Abualhaija and van den Berg, 2014)</ref>, stabilization of Fe hydroxides with time <ref type="bibr">(Dulaquais et al., 2023)</ref>, or the kinetically slow formation of electro-inactive FeSA 2 complexes suggested by <ref type="bibr">Abualhaija and van den Berg (2014)</ref>. Adsorption is also strongly suspected with SA, and conditioning of the voltametric cells and sample vessels prior to speciation measurements is common practice, but has yet to be addressed empirically in the literature <ref type="bibr">(Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007</ref><ref type="bibr">Buck et al., , 2012;;</ref><ref type="bibr">Bundy et al., 2014)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.3.">Sample preparation and technical limitations</head><p>The quality and reliability of ligand titration results is dependent on the number of seawater aliquots prepared for the analysis of a sample. It is recommended to run a titration with two aliquots of the sample without metal added and at least 8 aliquots with metal added (for a total of &#8805;10; <ref type="bibr">Sander et al., 2011;</ref><ref type="bibr">Gledhill and Buck, 2012)</ref>, and ideally up to 15 points to maintain a decent analytical time <ref type="bibr">(Omanovi&#263; et al., 2015;</ref><ref type="bibr">Buck et al., 2016)</ref>. Analyzing two aliquots without added metal helps ensure the validity of the initial point by conditioning the voltametric cell and resolving any carry-over from previous measurements. The concentration range for DFe additions is typically dictated by the amount of L Fe expected in the sample or adjusted to the amount detected <ref type="bibr">(Gledhill and Buck, 2012)</ref>. The complexation properties obtained from the titration curve heavily depends on the definition of the sensitivity (S) of the method. S is given by the slope of the peak intensity versus DFe when all natural FeL are saturated in the aliquots amended with high DFe concentrations. Alternatively, the sensitivity can also be fitted, meaning that instead of assuming FeL saturation in the final aliquots, the sensitivity is optimised by iteration to limit the fitting error on the whole titration <ref type="bibr">(Omanovi&#263; et al., 2015)</ref>; this can be especially useful for copper speciation, where large pools of weaker ligands are not always titrated <ref type="bibr">(Pi&#382;eta et al., 2015)</ref>. Accurate determination of the sensitivity is still a challenge of the CLE-AdCSV approach <ref type="bibr">(Gerringa et al., 1995</ref><ref type="bibr">(Gerringa et al., , 2014;;</ref><ref type="bibr">Omanovi&#263; et al., 2015;</ref><ref type="bibr">Pi&#382;eta et al., 2015)</ref>. So far, there is no common best practice for its definition for Fe.</p><p>The fitting of the data is more challenging when more than one class of FeL is detected. In some cases, and mostly with SA as added ligand, the shapes of the Scatchard and Ru&#382;i&#263;-van den Berg plots exhibit a kink that suggests the presence of two distinct classes of FeL, whose complexing parameters can be quantified if they are sufficiently separated in log K cond FeL <ref type="bibr">(Ibisanmi et al., 2011;</ref><ref type="bibr">Gledhill and Buck, 2012;</ref><ref type="bibr">Buck et al., 2015)</ref>. In order to accurately characterize more than one ligand class in a sample, however, a sufficient number of aliquots must be analyzed to allow for the degrees of freedom needed to resolve two ligand groups, which lengthens the analytical time required for each titration <ref type="bibr">(Buck et al., 2012)</ref>. The results can also be impacted by subjectivity of the analyst when interpreting the titration data. Intercomparison efforts on the interpretation of CLE-AdCSV titrations revealed discrepancies that were partly explained by the choices of the analyst on the selection of the titration datapoints in the case of copper <ref type="bibr">(Pi&#382;eta et al., 2015)</ref>. This problem has not been clearly identified for Fe, but the development of a systematic approach for analyzing titration data applicable to different metals should result in better reproducibility and comparability between laboratories.</p><p>In this work, we revisit some of the limiting factors that prevent a wider use and comparability of the SA method for DFe organic speciation. We propose an optimised methodology that spans the conditioning of the voltametric cell and aliquot vessels (here, polypropylene tubes, Metal Free, Labcon&#8482; and perfluoroalkoxy alkane (PFA) vials, Savil-lex&#8482;), the optimisation of voltametric parameters for the detection of the electroactive FeSA complex, and recommendations for data treatment of voltammograms and titrations. We present guidelines for a quick and reliable measurement of the peak-height using the freely available software ECDSoft (Supplementary Material, SM1). We also developed a step-by-step approach for systematic treatment of titration data, to assess titration quality in a non-subjective manner and improve dataset comparability between users (SM2). Based on the use of the software ProMCC with a freely available home-made spreadsheet, the procedure includes the statistical identification of outliers and the semiautomatic determination of quality flags for the titration data. We also estimated the reproducibility of the sequential addition of Fe and SA with short equilibration time (15 min equilibration; <ref type="bibr">Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007)</ref>, and present here a comparison between the speciation parameters (L Fe and log K cond Fe&#8242;L, ) obtained by sequential and shorter equilibration versus overnight equilibration <ref type="bibr">(Abualhaija and van den Berg, 2014;</ref><ref type="bibr">SM4)</ref>. This work focuses on technical specificities related to the application of the CLE-AdCSV method; for the theoretical aspect of the method, we refer readers to previous work (e.g., <ref type="bibr">Rue and Bruland, 1995;</ref><ref type="bibr">Gledhill and van den Berg, 1994;</ref><ref type="bibr">Abualhaija and van den Berg, 2014;</ref><ref type="bibr">Gerringa et al., 2014;</ref><ref type="bibr">Pi&#382;eta et al., 2015)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Method</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Apparatuses</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.1.">Metrohm&#8482; system</head><p>The voltametric systems were composed of a 663 VA stand (Met-rohm&#8482;) installed in a laminar flow hood (class-100), supplied with nitrogen and equipped with a multi-mode electrode (MME, Metrohm&#8482;) used as hanging mercury drop electrode (HMDE) mounted with a silanized capillary, a glassy carbon counter electrode and a silver/silver chloride reference electrode, all provided by Metrohm&#8482;. Both the counter and reference electrodes were placed in glass bridges filled with 3 M KCl. The KCl solution was previously cleaned of organics through UV radiation in quartz tube for 6 h using a home-made UV-digestion apparatus equipped with a 125 W mercury vapour lamp (described here: <ref type="url">http://pcwww.liv.ac.uk/~sn35/Site/UV_digestion_apparatus.html</ref>), and cleaned of metals with overnight equilibration with manganese oxides <ref type="bibr">(Yokoi and van den Berg, 1992)</ref> and filtered through syringe filter <ref type="bibr">(Millex HA, Millipore&#8482;;</ref><ref type="bibr">Mahieu, 2023)</ref>. We did not experience interferences from the diffusion of manganese from the KCl placed in the glass bridges, but we advise to use cleaning resins in future work (e.g., <ref type="bibr">Donat and Bruland, 1988)</ref>. Voltametric measurements were carried out in 5 mL of oxygenated seawater placed in custom-made PTFE cells which support measurements in small volumes, initially cleaned by successive 1 week-long soaking in Decon&#8482; detergent, 1 M HCl bath, and 0.1 M HCl bath <ref type="bibr">(Gourain, 2020)</ref>. For each system, a potentiostat/galvanostat &#956;Autolab III and an IME663 were controlled by the software NOVA 2.5, allowing automatic formation of the drop (size 3) and stirring of the solution through home-made vibrating devices. The home-made stirring device consisted of a small vibration motor (6 mm diameter, 12 mm long, 1.5 V, 10200 rpm, JinLong Machinery, China) connected to a melted pipette with the flat-tip (polypropylene) penetrating the solution. In this instance the use of the home-made stirring device within a smaller voltametric cell, as in <ref type="bibr">Chapman and van den Berg (2007)</ref>, was favored over the classic polytetrafluoroethylene (PTFE) rods as it enabled working in lower sample volumes, although similar results are obtained with commercialized stirrer and the vibrating devices used here <ref type="bibr">(Mahieu, 2023)</ref>. To avoid progressive deoxygenation of the sample, the nitrogen blanket gas flow was stopped by tightening the screw on the left side of the 663 VA stand, and a small aquarium pump (HD-603, HDOM&#8482;) placed inside the laminar flow hood was blowing a stream of air above the water sample to ensure constant dissolved oxygen saturation <ref type="bibr">(Sanvito et al., 2019;</ref><ref type="bibr">Sanvito and Monticelli, 2020;</ref><ref type="bibr">Mahieu, 2023)</ref>.</p><p>The Metrohm&#8482; systems are pressurized with gas and the mercury oxidizes quickly. These oxides accumulate in the MME and adsorb preferentially on metallic surfaces such as the needle and the connection pin and can interfere with the quality of the voltammograms. To mitigate this, we recommend cleaning the needle daily by simply screwing it off, wiping it gently, and screwing it back in with the exact same tightness, and to clean the mercury weekly. Prior to mercury cleaning, we recommend to vigorously shake the MME to desorb mercury oxides. Then, instead of dismantling completely the MME, we suggest opening it only from the back, emptying the mercury, and collecting the clean mercury by pipetting from just below the surface oxidised layer before placing it back in the MME. Cleaning following the above procedure on a weekly basis was observed to be easier, faster, safer and overall, better for the capillary than less frequent cleaning leading to mercury oxide accumulation. This procedure was specifically developed for Metrohm&#8482; MME; mercury reservoirs from different manufacturers may not experience such rapid mercury oxidation. Health and safety instructions from manufacturers should be checked prior to manipulating the MME to limit mercury exposure and spillage (i.e., manipulating the MME above a tray and in a well-ventilated space with appropriate personal protective equipment, and with spill kit available nearby).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.2.">BioAnalytical Systems, Inc. (BASi)</head><p>The CLE-AdCSV method was further assessed on a BioAnalytical Systems, Inc. (BASi) electrochemical system at Oregon State University. This system was comprised of a Controlled Growth Mercury Electrode (CGME) cell stand connected to an Epsilon &#400;2 electrochemical analyzer. The CGME was employed in Static Mercury Drop Electrode (SMDE) mode with a drop size of 14 and commercially available quadrupledistilled elemental mercury (Bethlehem Apparatus). The mercury reservoir of the CGME is enclosed under vacuum, and the dispensing of mercury drops from the reservoir of the CGME is accomplished with a solenoid valve. No compressed gas is required for this application, and the mercury does not readily oxidize in this setup; it does not require regular cleaning as for the Metrohm&#8482; systems. The bevelled glass capillary (150 &#956;m inner diameter; part # MF-2090), Ag/AgCl reference electrode (MF-2052), platinum wire auxiliary electrode (MW-1032), and Teflon-coated stir bar (ER-9132) were all included in the CGME Cell Stand Package purchased from BASi. The glass capillary and Teflon stir bar were wiped down with methanol prior to use, but otherwise were not cleaned before the cell conditioning process was begun. The voltametric cell used on this system is a Teflon (fluorinated ethylene propylene, FEP) cell originally manufactured by Princeton Applied Research (now Ametek), which had first been cleaned in concentrated Trace Metal Grade (TMG) aqua regia (TMG HCl and HNO 3 ; Fisher Chemical&#8482;) and stored in Milli-Q until conditioned for use.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Voltametric procedure</head><p>The procedure for the Metrohm&#8482; application of the method is adjusted from <ref type="bibr">Buck et al. (2007)</ref> and Abualhaija and van den Berg (2014) using the software NOVA 2.5 (Metrohm&#8482;). Three new drops were formed prior to the analysis by DP-AdCSV (Differential Pulse Adsorptive Cathodic Stripping Voltammetry) using the following parameters: deposition at +0.05 V (optimisation presented hereafter) for 45 s to 3 min (depending on the sampling depth of the sample) while vibrating, 3 s of equilibration (no vibration), stripping from -0.25 to -0.6 V with a 6 mV step, 50 mV amplitude, 35 ms pulse time and 200 ms interval time. For the BASi application of the method, analyses were accomplished as described by <ref type="bibr">Buck et al. (2007)</ref> by DP-AdCSV using the software EpsilonEC and the following parameters: deposition at +0.05 V while stirring, 15 s of equilibration (no stirring), stripping from 0 to -0.85 V with a 6 mV step, 50 mV amplitude, 35 ms pulse width and 200 ms pulse period.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3.">Reagent preparation</head><p>For the application of the method on the Metrohm&#8482; system, the preparation of the SA solution is adjusted from Abualhaija and van den Berg (2014). SA (SA; 98% Acros Organics&#8482;) stock solution of 20 mL at 0.1 M was prepared in Milli-Q water (Millipore, 18.2 M&#937;) only once and stored in the fridge in a Metal Free Labcon&#8482; tube at pH &lt; 1 (acidified with TMG HCl, FisherSchentific&#8482;; <ref type="bibr">Abualhaija and van den Berg, 2014)</ref>. From this stock solution, 20 mL of 5 mM at pH 2 were prepared regularly (around once a month) 24 h prior to use to ensure stability and homogeneity. Gentle heating of the stock solution (between 30 and 35 &#8226; C) was necessary to prevent the presence of a liquid organic phase. We followed the preparation suggested in <ref type="bibr">Abualhaija and van den Berg (2014)</ref> in this work, but stock solution of lower concentration should ease its manipulation by limiting the formation of the organic phase. A batch of 250 mL of a 1 M borate/ammonia buffer was prepared by diluting boric acid (analytical reagent grade, Fisher Scientific&#8482;) in 0.4 M ammonia (NH 4 OH; 29% Laporte&#8482;). Borate/ammonia buffer is classically used at 10 mM to adjust the pH around pH 8.2 (NBS scale; <ref type="bibr">Millero et al., 1993)</ref> because it does not complex Fe, as opposed to stronger organic buffers (e.g., <ref type="bibr">Gupta et al., 2013)</ref>. Fe standards at pH 2 (acidified with TMG HCl) were prepared from a Fe stock solution, 1000 ppm (17.9 mM; BDH&#8482;). A 50 &#956;M Fe standard was used for cell and tube conditioning, prepared monthly. A 2 &#956;M Fe standard was used to prepare the titrations, prepared weekly.</p><p>For the application of the method on the BASi, the procedures of <ref type="bibr">Buck et al. (2007)</ref> were followed. Briefly, a 5 mM solution of SA (98 + %, TCI America&#8482;) was prepared in 200 mL high purity methanol (LC/MS Grade Optima, Fisher Chemical&#8482;) and stored in the refrigerator when not in use. When prepared in methanol, the SA solution is stable for many months and does not require any further cleaning <ref type="bibr">(Buck et al., 2007)</ref>. A 1.5 M borate/ammonium buffer solution was prepared by dissolving high purity boric acid (99 + %, Thermo Scientific&#8482;) in 0.4 N ammonium hydroxide (Optima, Fisher Chemical&#8482;). The buffer required further cleaning, which was accomplished by using a peristaltic pump (Gilson) and size 13 tubing (ColeParmer) to pump the solution through two sequential Chelex (BioRad&#8482;) cleaning columns. Prior to use, the cleaning columns were prepared with the same pumping setup and flushed with approximately 200 mL Milli-Q, followed by similar volumes of 10% TMG HCl, 0.024 M TMG HCl, another 200 mL Milli-Q, and finally 100 mL of 0.4 N ammonia hydroxide to ensure the column was conditioned to the buffer matrix. The first 50 mL of buffer passed through the columns after these steps were discarded, and the remainder collected in narrow mouth Teflon (FEP, Nalgene) bottles for use. The buffer was stored in the clean hood at room temperature to minimize the risk of precipitation. A 50 &#956;L addition of the buffer to 10 mL sample was used in speciation analyses, achieving pH 8.2 (NBS scale). Dissolved Fe standards were prepared by dilution of a 1000 ppm Fe standard (atomic absorption spectrometry grade, AA; Fisher Chemical&#8482;) in 0.024 M TMG HCl and stored at room temperature <ref type="bibr">(Buck et al., 2007)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.4.">Sample preparation</head><p>FeL titrations were obtained using sequential equilibration, whereby Fe additions are equilibrated for at least 2 h, before SA is added at least 15 min before starting the analysis, as previously described by <ref type="bibr">Rue and Bruland (1995)</ref> and <ref type="bibr">Buck et al. (2007</ref><ref type="bibr">Buck et al. ( , 2015</ref><ref type="bibr">Buck et al. ( , 2018))</ref>. Analysis reproducibility was evaluated in 19 samples analyzed in duplicate (with one in triplicate, 20 comparisons). Overnight equilibration (minimum of 8 h) using the same SA concentration added 10 min after Fe additions was also applied for comparison in 24 samples (including 4 of the samples for which duplicate analysis was performed, 28 comparisons). For both equilibration, seawater aliquots were spiked with 10 mM of borate buffer and 25 &#956;M of SA. Specific set of tubes were prepared for each equilibration. The sets were composed of 16 tubes with DFe additions ranging from 0 to 15 nM (Table <ref type="table">2</ref>). Prior to preparation, samples were left to thaw overnight in the dark at room temperature, then energetically swirled. If duplicates were analyzed within a few days, they were kept in the fridge. If more time was needed before the second analysis, they were frozen back at -20 &#8226; C. The samples analyzed to evaluate the reproducibility and the impact of the equilibration procedure in this study were collected in the Western Tropical South Pacific in 2019 during the cruise GPpr14 (TONGA cruise; <ref type="bibr">Guieu and Bonnet, 2019)</ref>. For complementary information regarding DFe and FeL in those samples, please refer to <ref type="bibr">Tilliette et al. (2022)</ref> and <ref type="bibr">Mahieu et al. (2024)</ref>, respectively. Conditioning waters used for the application with the Metrohm&#8482; systems was a mixture of deep waters collected during the GA13 FRidge cruise in the mid-Atlantic in 2017 and kept in the dark at room temperature in a 50 L carboy made of polycarbonate (Nalgene), while for the application with the BASi systems, the conditioning seawater was surface waters collected in the Gulf of Mexico in 2015 kept frozen in 500 mL bottles made of fluorinated high density polyethylene (FHPE; Nalgene).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.5.">Peak height extraction from voltametric measurements</head><p>The treatment applied for the data presented in this work consisted of the conversion of the initial voltammograms into derivative scans, prior to automated peak height determination, completed by manual peak determination when necessary. This treatment was performed using the freely available ECDSoft software following a procedure detailed in SM1. The use of the derivative peak height instead of the direct peak height or peak area is favored in case of curvature of the baseline under the peak <ref type="bibr">(Sala&#252;n et al., 2007;</ref><ref type="bibr">Cobelo-Garc&#237;a et al., 2014)</ref>. For example, if the baseline is approximated by a third polynomial, the derivative will transform it to a linear baseline, avoiding manual and user dependent definition of the baseline <ref type="bibr">(Omanovi&#263; et al., 2010)</ref>. However, it is crucial that the half-width of the second derivative peak is unchanged for the treated dataset (e.g., complexometric titration). In our case, the half-width of the FeSA peak on second and fourth derivative scans was not impacted by the addition of Fe, meaning that both can be used for quantification purposes.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Result and discussion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Recommended conditioning procedures</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.1.">Conditioning of the PTFE voltametric cell</head><p>A systematic decrease of the FeSA peak is observed when the voltametric system is not sufficiently conditioned <ref type="bibr">(Gerringa et al., 2021)</ref>, and deliberate conditioning of the system with Fe has been noted across the applications of the FeSA method <ref type="bibr">(Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007</ref><ref type="bibr">Buck et al., , 2012;;</ref><ref type="bibr">Bundy et al., 2014)</ref>. Here, we also observed a strong decrease of the signal with time in the voltametric cell in the absence of conditioning (Fig. <ref type="figure">1b</ref>), consistent with adsorption of Fe on cell walls, stirring device, and electrodes. To prevent such adsorption, we developed a procedure to saturate the adsorption sites with a high amount of Fe that consistently led to reproducible peak heights across the titration range. Fig. <ref type="figure">1</ref> presents the difference in stability of the signal in a voltametric cell with and without conditioning (Fig. <ref type="figure">1a</ref> and<ref type="figure">b</ref>, respectively). The optimal conditioning procedure for the Metrohm&#8482; voltametric PTFE cell consisted of leaving overnight (&#8805; 8 h) a buffered seawater sample spiked with 300 nM of Fe in the cell placed on the system and containing the electrode and stirring device. The concentration of nM showed better peak stability than overnight conditioning with and 150 nM of Fe while the addition of 25 &#956;M of SA had no apparent effect (results not shown). The conditioning sample spiked with 300 nM of Fe showed only 7 nM of Fe left after overnight conditioning (Fig. <ref type="figure">1a</ref>). The carried over DFe was effectively removed by 3 Milli-Q rinse of cell and a sacrificial buffered seawater sample containing 25 &#956;M of SA. The stability of the signal over 5 scans at different Fe concentration attests to</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Table 2</head><p>DFe additions added to buffer seawater for conditioning of 50 mL polypropylene MetalFree tubes (Labcon&#8482;) and PFA vials (Savillex&#8482;). For the polypropylene tubes, 25 &#956;M SA is also added with the Fe for conditioning, and the tubes are regularly swirled to speed up conditioning. For the PFA vials, SA is added at the end of each round of conditioning. See manuscript for detailed outline of the conditioning procedures.  the absence of further Fe adsorption and desorption, confirming the stability and inertia of the conditioning (Fig. <ref type="figure">1a</ref>). For optimal preservation of the conditioning, we suggest keeping the cell with a similar matrix as the analyzed samples, i.e., seawater if possible, though Milli-Q can be used if seawater is limited.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.2.">Conditioning of polypropylene tubes</head><p>An empirical methodology was developed to condition the tubes used to prepare the titration aliquots of the samples (polypropylene Metal Free tubes, 50 mL, Labcon&#8482;). Prior to conditioning, the tubes are simply cleaned by an overnight acid bath at 1 M HCl and thorough Milli-Q rinse, since no difference was observed with tubes cleaned by successive week-long baths in Dekon detergent, 1 M HCl and 0.1 M HCl (results not shown). In absence of tube conditioning, the titrations were not showing the peak corresponding the the FeSA 2 complex, even at high DFe. The preparation of several sacrificial titrations at regular DFe addition was not solving the issue.</p><p>The most efficient conditioning procedure consisted of a weeklong conditioning with high Fe concentrations (minimum of 50 nM; Table <ref type="table">2</ref>) added to buffered seawater containing 25 &#956;M of SA, and swirling several times a day every day. At the end of the week of conditioning, the tubes were emptied, rinsed twice with Milli-Q, and filled with a titration. If the titration analysis showed a linear response at high additions giving the same slope as a post-titration spike (i.e., not equilibrated with SA in the tubes but added directly to the cell; <ref type="bibr">Whitby et al., 2018)</ref>, then the tubes were considered sufficiently conditioned for analytical work. In the absence of swirling during the weeklong conditioning, the tubes required the preparation of 5 to 10 titrations before sufficient conditioning was achieved. Between titrations, the tubes were filled with 20 mL of Milli-Q and energetically shaken for rinsing, and kept dry when not in use. Following previous recommendation (e.g., <ref type="bibr">Abualhaija and van den Berg, 2014;</ref><ref type="bibr">Gerringa et al., 2014)</ref>, we recommend using, when possible, bulk open ocean seawater available at a sufficient volume both to (1) condition all sets of tubes and the cell, and (2) be used as a reference seawater. A set of experiments exploring the flexibility of the conditioning procedure were performed and are presented in SM4.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.3.">Conditioning of PFA vials</head><p>A similar procedure using high Fe concentrations is sufficient for the conditioning of the 15 mL flat-bottom PFA vials (Savillex&#8482;) commonly used for Fe speciation titrations with SA. New vials are typically cleaned first in a soap bath (0.8% Citrad&#8482; in distilled water) and then acidcleaned only once by soaking in concentrated aqua-regia (TMG HCl and HNO 3 ; Fisher Chemical&#8482;) for a week. It is possible that this aqua regia step is not necessary, and could be replaced with a longer (e.g., month-long) soak in a weaker acid bath (e.g., 10% TMG HCl), but we have not tested this. Following the aqua regia bath, the vials are stored in Milli-Q for at least one more week, after which the conditioning procedure can begin. New vials, or vials newly applied to Fe speciation measurements with SA, are conditioned with mock titrations containing seawater, buffer, and high Fe additions (Table <ref type="table">2</ref>). A minimum of 10 nM Fe is added to the vials that will be used for the lowest (&lt;1 nM) sample titration additions, 10-fold Fe additions are used thereafter, and 15-fold higher for the two highest planned additions (Table <ref type="table">2</ref>). The additions are left in the buffered seawater samples for several days in the first round (e.g., over the weekend), and three iterations with the additions left overnight. For these overnight soaks, 25 &#956;M SA is added to the vials the following morning, allowed to equilibrate at least 15 min, and the contents analyzed; the content of the last titration vial, with the highest added Fe concentration, is left in the cell overnight to condition it and analyzed again in the morning to assess consistency. Once reproducible peak heights are observed in these conditioning titrations, the vials are filled with a mock sample titration and analyzed for verification. Following analysis of the last addition in the mock sample titration, 5 nM of Fe is added directly to the voltametric cell as a post-titration spike to verify (1) that the peak heights at the end of the titration sample had increased in proportion to the Fe additions and (2) the absence of Fe loss during the equilibration (e.g., <ref type="bibr">Whitby et al., 2018)</ref>. If the response is linear, the vials and voltametric cell are sufficiently conditioned for sample analyses. The post-titration spike continues to be employed throughout sample analyses as a tool not only for verifying conditioning but also for ensuring that the natural ligands in the samples have indeed been titrated.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.4.">Conclusion on the conditioning procedures</head><p>Optimum conditioning procedures vary depending on different voltametric systems, tubes, and vials. In all cases, saturation of the adsorption sites seems to occur through the formation of various Fe species that are no longer labile to SA at 25 &#956;M. Once the material is conditioned, it can be safely used if regular duplicate or reference water analysis are consistent. In term of conditioning process, we hypothesise that for weeklong conditionings, SA could help for optimal distribution of Fe at the surface of the vessels over the weeklong conditioning necessary for stability of the slowly formed Fe 'layer' or 'coating'. The FeSA 2 would slowly dissociate near the tube wall, scavenging Fe from the solution. Regular swirling would optimize the conditioning by ensuring optimal flux of Fe to the tube wall. It is not surprising that the amount of Fe and time requirement differ between the voltametric system and the tubes, since differences in Fe adsorption behaviour with materials has been established in previous work <ref type="bibr">(Fischer et al., 2007)</ref>. The stability of the signal shown in Fig. <ref type="figure">1a</ref>, 2 and 3, however, attests to the non-lability of Fe after application of the procedures developed for our equipment. We know from practical experience that conditioning can be achieved with lower Fe additions, with Fe added with and without SA, and without swirling the tubes or vials; however, what we outline here and in Table <ref type="table">2</ref> represents the fastest way we could achieve after months of experimenting.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Effect of the deposition potential</head><p>The impact of the deposition potential on the FeSA reduction peak current was investigated in the conditioning seawater for the Met-rohm&#8482; application, buffered and spiked with 25 &#956;M of SA (Fig. <ref type="figure">2</ref>). The experiment was performed twice starting at -0.10 V up to +0.06 V, and twice starting at +0.06 V down to -0.10 V. Increments were of 0.02 V. By applying a deposition potential of +0.05 V, the sensitivity of the method is increased by around 3-fold and 1.8-fold compared to the previously applied values of -0.05 V <ref type="bibr">(Rue and Bruland, 1995)</ref> and 0 V <ref type="bibr">(Buck et al., 2007;</ref><ref type="bibr">Abualhaija and van den Berg, 2014)</ref>, respectively. A deposition potential above 0 V was previously attempted <ref type="bibr">(Buck et al., 2007)</ref> and produced a similar peak height at +0.05 V relative to 0 V and then a steep decrease of the signal at +0.1 V. In our case, the signal is higher at +0.05 V relative to 0 V. The contrasted results obtained by the different analysts suggest that the influence of the deposition potential is sample dependent.</p><p>The sensitivity of the SA method also decreases with sample depth in the Pacific relative to the Atlantic <ref type="bibr">(Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007</ref><ref type="bibr">Buck et al., , 2015</ref><ref type="bibr">Buck et al., , 2018))</ref>, which was hypothesized to result from distinctions in the composition and/or structure of the DOM with the aging of water masses <ref type="bibr">(Buck et al., 2018)</ref>. The sensitivity loss is generally compensated by the deposition time used, ranging from 90 s to 600 s in surface and deep Pacific Ocean samples, respectively <ref type="bibr">(Buck et al., 2018)</ref>. Using a higher deposition potential of +0.05 V, the deposition time required in our study ranged from 45 s in surface samples to 150 s in deep samples collected in the Western Tropical South Pacific. It is well known that the adsorption of organic compounds can lower the sensitivity of the AdCSV method of Fe detection (e.g. <ref type="bibr">Yokoi and van den Berg, 1992)</ref>. Our results suggest that a higher deposition potential limits the adsorption of negatively charged refractory DOM at the mercury electrode in Western Tropical South Pacific waters. Deposition potentials higher than +0.07 V were not tested to limit oxidation of the mercury electrode and a deposition potential of +0.05 V was chosen as the optimal value. This deposition potential allowed analysis of a complete titration of 16 aliquots with triplicate voltammograms in &lt;1 h, even for deep samples, a significant improvement compared to other studies (e.g., <ref type="bibr">Buck et al., 2007</ref><ref type="bibr">Buck et al., , 2018;;</ref><ref type="bibr">Cabanes et al., 2020)</ref>. The deposition potential value of +0.05 V could be of specific interest in samples containing high concentrations of DOM such as coastal samples.</p><p>These findings also suggest that the deposition potential for this method may provide useful insights into the composition and/or electroactivity of the DOM in natural samples. The relation between the trace metal binding strength by DOM and the deposition potential applied in anodic stripping voltammetry (ASV) has been used in the past, notably for copper, and is referred to as pseudopolarography (e.g., <ref type="bibr">Garnier et al., 2004;</ref><ref type="bibr">Louis et al., 2008</ref><ref type="bibr">Louis et al., , 2009))</ref>. The relation between the peak intensity and the deposition potential presented here and in previous work could be representative of the competitive adsorption on the mercury drop between the electroactive DOM and FeSA 2 <ref type="bibr">(Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007;</ref><ref type="bibr">Abualhaija and van den Berg, 2014;</ref><ref type="bibr"/> this study). This was not explored in our work, but we highlight that the dependency of the signal intensity to the deposition potential in AdCSV in presence of SA may provide additional information to characterize electroactive DOM.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3.">Validation of ligand titrations</head><p>For the Metrohm&#8482; systems, the titration presented in Fig. <ref type="figure">3</ref> illustrates two features classically observed: Fe carry-over from previous analysis with the first aliquot, and saturation of the mercury drop electrode at high Fe concentration. For the BASi systems, two different analyses are presented in Fig. <ref type="figure">4</ref>: one of the seawater used for conditioning the tubes, and one of the same seawater spiked with 2 nM of deferoxamine B (DFO-B; Fig. <ref type="figure">4b</ref>). The addition of DFO-B, a siderophore of high affinity with Fe, is an easy and reliable way to validate the CLE-AdCSV application, previously performed in a similar application in the absence of natural ligands (e.g., <ref type="bibr">Rue and Bruland, 1995;</ref><ref type="bibr">Abualhaija and van den Berg, 2014)</ref>. Here, we performed the DFO-B addition in the presence of the natural ligands to verify the absence of interfering interaction between the natural ligands and the detection of FeSA 2 at the mercury drop electrode, a process reported in previous work for other added ligands with humic substances <ref type="bibr">(Laglera et al., 2011)</ref>. Our results show the expected increase in L Fe corresponding to the 2 nM DFO-B added (with regards to the uncertainty of the analyses), and an increase in log K cond Fe&#8242;L , in line with the high affinity of DFO-B for Fe. The lower log K cond Fe&#8242;L found here compared to previous characterization of DFO-B at similar SA concentration (log K cond Fe&#8242;L &gt; 14; <ref type="bibr">Rue and Bruland, 1995;</ref><ref type="bibr">Bundy et al., 2018)</ref> illustrates a fundamental characteristic of the log K cond Fe&#8242;L determination by CLE-AdCSV, being an averaged value of the individual log K cond Fe&#8242;L of all the binding sites in competition against the added ligand (here, the natural ligands and the added DFO-B).</p><p>We compare in Figs. 2 and 3 the results obtained with manual determination of the peak height and with the automated approach developed to ease and fasten data handling. For both applications (i.e., with the Metrohm&#8482; and the BASi, Figs. <ref type="figure">3</ref> and<ref type="figure">4</ref>, respectively), the fast automated approach resulted in similar Fe-binding ligand characteristics that the time-consuming manual determination. Several adjustments were necessary to ensure optimal efficiency of the software ECDSoft and avoid manual treatment of some voltammograms. For the voltammograms acquired with the Metrohm&#8482; systems, the optimal treatment consisted of using the second derivative scans and increasing the number of data points composing the voltammograms by a factor 3, and with the BASi, the optimal treatment was using the fourth derivative without increasing the number of data points. The variations of the automated peak determinations are attributed to differences in the voltammogram acquired with the two set up compared here, notably in terms of peak height range. Future users should compare the different parameters available within ECDSoft to define the optimal automation of the peak determination corresponding to their application.</p><p>For the application with the Metrohm&#8482; systems, the conditioning seawater was kept in the dark at room temperature in a 50 L carboy (polycarbonate, Nalgene), while for the application with the BASi systems, the conditioning seawater was kept frozen in several 500 mL bottles (FHPE, Nalgene). Repeated titrations of the conditioning seawater kept in the carboy showed a drift in L Fe toward higher values with time and emptiness of the carboy (results not shown), suggesting an impact of the aging of the DOM and/or stratification in the carboy. We suggest not to sample and store reference seawater in large polycarbonate carboy, but such water can be used for conditioning.</p><p>A post-titration Fe spike of 5 nM was performed in the final aliquot being analyzed to confirm the saturation of the organic ligands (Fig. <ref type="figure">3</ref>). For the titration in the presence of DFO-B, the spike confirms the saturation of the natural ligands, and the absence of saturation of the mercury drop. For the titration in absence of DFO-B, the spike confirms the saturation of the natural ligand, but also the saturation of the mercury drop electrode for the final aliquots. The aliquots for which the linearity is impacted by the saturation must be discarded for the interpretation. Guidance for the data selection and interpretation of ligand titrations are provided in the following section.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.">Recommendations for the interpretation of ligand titrations</head><p>The development of ProMCC software has substantially eased the interpretation of ligand titrations <ref type="bibr">(Omanovi&#263; et al., 2015)</ref>, although the results remain notably dependent on the choice of the mathematical treatment used to retrieve the log K cond Fe&#8242;L of the natural ligand, on the definition of the sensitivity of the method (e.g. <ref type="bibr">Omanovi&#263; et al., 2015)</ref> and on the data selection made by the analyst <ref type="bibr">(Buck et al., 2012)</ref>. It is sometimes necessary to remove outliers but currently, the definition of outlier is subjective. We propose here a procedure to treat titration data in a systematic way to statistically exclude potential outliers independently, and to simultaneously model ligand characteristics using the most common fitting procedures <ref type="bibr">(Ru&#382;i&#263;, 1982;</ref><ref type="bibr">van den Berg, 1982;</ref><ref type="bibr">Scatchard, 1949;</ref><ref type="bibr">Gerringa et al., 2014)</ref>. All the results presented hereafter were collected using the Metrohm&#8482; systems.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.1.">Definition of the sensitivity</head><p>The first step was to assess how to best define the sensitivity (S) of the measurement. The definition of S should be tested for every application of a CLE-AdCSV method on a set of natural samples. The simplest and most straightforward approach for this is the post-titration spike as a verification of the linearity of the final internal titration points. We also compared the results obtained by using S determined from the three last linear aliquots with the mathematical fit option given in ProMCC. Replicate titrations were fitted using both methods, the differences between duplicates in L Fe (&#916;L Fe ) and between log K cond Fe&#8242;L (&#916;log K cond Fe&#8242;L ) were determined, and the standard deviations of the &#916;L Fe and &#916;log K cond Fe&#8242;L obtained with each method compared. For L Fe and S, the standard deviation was divided by the mean value for all the duplicate titrations mentioned in Table <ref type="table">3</ref>, while for log K cond Fe&#8242;L , the standard deviation was divided by the acknowledged range of values covered by a single detection window (i.e., 2; <ref type="bibr">Apte et al., 1988;</ref><ref type="bibr">Gerringa et al., 2014)</ref>. Here, the most consistent results were obtained when S is defined with the 3 last aliquots of the titration, with 22% of residual standard deviation (RSD) for &#916;L Fe , against 46% for the mathematical fitting. Differences between the two fittings for &#916;log K cond Fe&#8242;L were negligible in comparison to the differences in &#916;L Fe . The definition of S with the 3 last aliquots has thus been implemented in our procedure. Despite recommendations from <ref type="bibr">Gerringa et al. (2014)</ref> to use 4 aliquots, our results showed that in our case the accuracy was not impacted by the use of 3 or 4 aliquots (results not shown). This could be attributed to the range of concentration of DFe considered in our titrations, up to 15 nM, compared to up to 10 nM used by <ref type="bibr">Gerringa et al. (2014)</ref>. This emphasizes the importance of extending the titration well into the linear portion to ensure optimal definition of the sensitivity.</p><p>In our case, the relative standard deviation (RSD) of &#916;L Fe and &#916;log K cond Fe&#8242;L was independent of the high RSD (e.g., poor reproducibility) in S values between duplicate analysis. We attribute the high S RSD to the presence of mercury oxides in the MME in the case of the Metrohm&#8482; system. Indeed, despite daily cleaning of the needle ensuring good quality of the scan and accurate determination of L Fe and log K cond Fe&#8242;L , mercury oxides were accumulating in the mercury reservoir over the week. We suggest that the daily cleaning of the needle is not enough for optimal reproducibility of the S of the Metrohm&#8482; system, and that the formation and/or impact of the mercury oxides are variable from one week to another. Even if it does not impact the &#916;L Fe and &#916;log K cond Fe&#8242;L obtained, the fluctuation of the S is to be kept in mind when using and comparing results obtained on Metrohm&#8482; systems.</p><p>The options offered by the software ProMCC of linear or logarithmic fitting of the sensitivity did not limit the dispersion of the calculated L Fe (results not shown). Although the mathematical approach of sensitivity fitting is the (only) theoretically correct approach, and as such, would be expected to provide better results, it is more impacted by signal variability, because it uses all titration points for the calculation of S and not only the final 3 additions. The reduction current at low DFe additions is relatively more variable (less accurate) than at higher DFe additions, and thus the mathematical fitting might provide a less robust sensitivity than the final 3-point approach. The use of the "final 3-addition" approach is justified by the obtained better reproducibility with our dataset, as shown above. However, we still recommend comparing different approaches in sensitivity determination to justify the choice made and in particular, to verify the linearity of the final titration points with a post-titration spike.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.2.">Step-by-step interpretation of the titration</head><p>The procedure developed for the interpretation of ligand titration data relies on the combined use of ProMCC and of a spreadsheet specifically prepared to keep track of the successive fittings and define the quality flag of the titration (Fig. <ref type="figure">5</ref>; SM2;). A step-by-step description of the procedure is detailed in SM2 and included within the spreadsheet. The procedure we propose here allows a more reliable selection of the data points retained for the fitting by statistically identifying voltammograms of poor quality that can bias the calculated FeL characteristics.</p><p>Briefly, the user first needs to enter analysis information as requested in the spreadsheet and add the titration data to both the spreadsheet and ProMCC. From ProMCC, a pre-selection is made, based on the visual presence of carry-over Fe (high values for the first aliquot) or saturation of the titration at high added Fe concentration (flattening of the curve; Fig. <ref type="figure">2</ref>). A first "Complete Complexation Fitting Model" is then performed, "Add Results to list&#8230;" clicked, and the "Used" column of the "Data" tab copied in the spreadsheet. The graphical error of the titration presented as Relative Percentage Difference (RPDi) calculated in ProMCC is then used. RPDi corresponds to the dispersion of each data point from the fitted curve obtained by the "Complete Complexation Fitting Model". Data points with an RPDi higher than 50% are discarded, in order of decreasing RPDi values. The RPDi values for all data from all aliquots are considered because this step aims to discard voltammograms of poor quality, not to evaluate the validity of an aliquot. If all the voltammograms recorded for an aliquot have an issue (e.g., due to contamination or problem during the preparation), they will end up being discarded within the process. Following each data removal step, the "Complete Complexation Fitting Model" fit is performed, "Add Results to list&#8230;" clicked, and the "Used" column copied in the spreadsheet. The identification of lower quality datapoints and fitting steps are reproduced until all data show an RPDi &lt;50%. The RPDi used to define the validity of the data is automatically calculated in ProMCC, and, therefore, the data selection is not impacted by the analyst, who keeps a detailed record of the successive treatment with the spreadsheet. The RPDi threshold value, however, could be adjusted for different applications and become a coefficient traducing the overall quality of the titrations for datasets.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.3.">Automated determination of the quality flag within the spreadsheet</head><p>A quality flag (QF) system was implemented to rapidly visualise the confidence in the results with values ranging from 1 to 4, 1 being highly confident. Assignment of a QF to titration results as a whole allows for a rapid comparison of data quality in database archives of speciation measurements. Additionally, to our knowledge, there are no open access tools for users to keep track of the choices made when fitting titration data (e.g., number of replicates of each titration point, how outliers were defined and how many (if any) were discarded, which ones, how the sensitivity was defined, etc.). This motivated the development of a spreadsheet combining the record of the metadata of the analysis, the record of the titration data, and the visualisation of the whole and selected complexometric data. The spreadsheet is intended to be used in tandem with ProMCC. This spreadsheet is perfectible and is open to user's suggestions.</p><p>The QF value is based on three aspects (Fig. <ref type="figure">5b</ref>). The first relates to the number of fittings performed during the data selection procedure to reach a RPDi &lt;50% for all data points, with the QF being equal to the number of fittings having been performed. The second, which is automated, relies on the errors on L Fe and log K cond Fe&#8242;L , and the averaged error given by ProMCC. For L Fe , an error of &#177;10% of the RSD or less was accepted (in our case, &#177; 0.5 nMeqFe). For log K cond Fe&#8242;L , an error of &#177;0.2 is accepted, corresponding to &#177;10% of the range of 2 unit of log K cond Fe&#8242;L covered by an analytical window <ref type="bibr">(Apte et al., 1988;</ref><ref type="bibr">Gerringa et al., 2014)</ref>. Accordingly, the limit of the criteria on the average error calculated by ProMCC as root-mean-square error (RMSE) is 20%. If two of the tests performed on L Fe , log K cond Fe&#8242;L and average error are successful, the QF value previously defined by the number of fittings and data selection performed to reach RPDi &lt;50% is lowered by one (meaning the confidence is increased).</p><p>The third aspect defining the QF relies on the convergence of the fittings. Successive fittings can lower the error on the parameters, but the parameter can show similar results in terms of L Fe and log K cond Fe&#8242;L despite data points having been discarded, meaning that the initial fitting was accurate. We implemented an automated verification of the convergence of L Fe and log K cond Fe&#8242;L along successive fittings and data selection. The QF is lowered by one if the values change by &lt;20% of the method accuracy, so in our case by 0.1 nMeqFe for L Fe and by 0.04 for log K cond Fe&#8242;L . The rules to define the QF based on the error and on the convergence of the fittings are not cumulative, meaning that the QF cannot be lowered by more than one level.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Table 3</head><p>Deviation between duplicate analyses on L Fe , log K cond Fe&#8242;L and S with two definitions of S. The relative standard deviation (RSD) corresponds to the standard deviation divided by the mean for &#916;L Fe (5.1 nMeqFe) and &#916;S, and by the acknowledged range covered by a single detection window for &#916;log K cond Fe&#8242;L (2; <ref type="bibr">Apte et al., 1988;</ref><ref type="bibr">Gerringa et al., 2014)</ref>. In summary, the QF determination for the procedure developed for a single ligand class will flag the results of a titration from 1 to 4, with 1 being highest confidence, and we recommend that titrations that receive a QF flag of 3 and 4 to be carefully compared to the rest of the dataset to decide whether to integrate the results into the final dataset.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.4.4.">Reproducibility of ligand titrations</head><p>The reproducibility of ligand titration and data treatment procedure was compared on 19 samples run in duplicate (including a triplicate, 20 comparisons). Results of the treatment of these analyses are presented in Fig. <ref type="figure">6</ref> and the data table is presented in SM4. The samples were randomly chosen within a set collected in the Western South Tropical Pacific in 2019 <ref type="bibr">(Guieu and Bonnet, 2019)</ref> covering a large range of biogeochemical conditions (e.g., DFe from 0.18 nM to 1.09 nM; <ref type="bibr">Tilliette et al., 2022)</ref>, with the area being impacted by intense diazotrophic and hydrothermal activity.</p><p>The RSD between duplicates was calculated relative to the average value obtained between duplicates for L Fe and relative to the range of log K cond Fe&#8242;L covered by a single detection window (2; <ref type="bibr">Apte et al., 1988;</ref><ref type="bibr">Gerringa et al., 2014)</ref>. Here, 50% of the duplicates agreed within 10% of the RSD for L Fe and log K cond Fe&#8242;L , and up to 80% within 25% of the RSD (Fig. <ref type="figure">6a</ref>). Meanwhile, the diazotrophic and hydrothermal processes of the area were responsible for L Fe and excess L Fe (eL Fe = L Fe -DFe) mean values of 5.1 &#177; 1.4 and 4.8 &#177; 1.3 nMeqFe, respectively. This is much higher than typically observed in open ocean samples. For comparison, a mean eL Fe of 1.9 &#177; 1.1 nMeqFe was reported in the eastern tropical South Pacific, east of our sampling location <ref type="bibr">(Buck et al., 2018)</ref>. The agreement between duplicate analyses is, therefore, rather high, with regard to the intense biogeochemical processes at play and of their impact on the Fe-binding properties of the DOM.</p><p>Interestingly, a relationship between the log K cond Fe&#8242;L and the time separating the duplicate analyses emerged for the samples collected in the Antarctic Intermediate Waters (AAIW; Fig. <ref type="figure">6c</ref>). The majority of the duplicates performed in other water masses did not show a similar offset in the second analysis. This offset could suggest a specific aging behaviour of the ligand assemblage in these samples, but the influence of mercury oxidation and re-freezing of the sample are not excluded. The change in log K cond Fe&#8242;L was not coupled to a change in L Fe , suggesting a decoupling between the amount and the strength of the Fe-binding sites of the DOM. While other studies concluded on the limited impact of the aging of the DOM following similar freezing and thawing treatment <ref type="bibr">(Fourrier et al., 2022a</ref><ref type="bibr">(Fourrier et al., , 2022b;;</ref><ref type="bibr">Fonvielle et al., 2023)</ref>, our results suggest a potential impact on the Fe-binding sites of the DOM found in the AAIW. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.5.">Comparison of equilibration procedure on speciation parameters</head><p>It has been suggested that a shorter equilibration times could overestimate L Fe and log K cond Fe&#8242;L , as some dissociation kinetic of Fe and natural ligands could be too slow in absence of adjunctive mechanism between natural and added ligands <ref type="bibr">(Gerringa et al., 2014;</ref><ref type="bibr">Laglera and Filella, 2015;</ref><ref type="bibr">Gerringa et al., 2021)</ref>. However, to date, the impact of the equilibration time on the results obtained using SA have not been documented. Here, we compared the sequential and the overnight equilibration procedures on 24 samples collected in the Western South Tropical Pacific <ref type="bibr">(Guieu and Bonnet, 2019)</ref>, including 4 samples run in duplicate with sequential equilibration (28 comparisons). The results are shown in Fig. <ref type="figure">7</ref>, and the data table is presented in SM4. Half of the duplicates were performed within two days between first and second analyses, and the other half within one month. There were no trends emerging in relation to the storage time.</p><p>The deposition time requirement was on average 1.6-fold lower with the sequential equilibration than with the overnight equilibration, and a higher deposition time was required for deep samples (SM4), in line with previous studies (e.g., <ref type="bibr">Buck et al., 2018)</ref>. The lower deposition time requirement in our application (from 45 s in surface samples to 150 s in deep samples; SM4) compared to previous study (60 s to 600 s; <ref type="bibr">Buck et al., 2018)</ref> is explained by our optimised deposition potential of +0.05 V and by the technical specificity of the system used, such as the size of the mercury drop and stirring efficiency. The lower sensitivity observed for overnight equilibration has been previously attributed to the slow formation kinetics of the electro-inactive FeSA 2 complex (Abualhaija and van den Berg, 2014), but this was not experimentally proven. Such phenomenon could be an issue because the calibration of the added ligand depends on the specific stoichiometry of the complexes formed, which need to be well known and stable in time. However, for SA, the &#946; FeSA calibrated by Abualhaija and van den Berg (2014) by overnight equilibration and the &#946; FeSA2 calibrated by <ref type="bibr">Buck et al. (2007)</ref> with sequential equilibration result in &#945; FeSA of 123 and in &#945; FeSA2 of 79 for &#956;M of SA, respectively. This leads to a shift of 0.2 in log K cond Fe&#8242;L , lower than the error between most of the duplicates shown in the previous section. This suggests a limited impact of the calibration choice in our application. Also, other results (not shown) obtained while conditioning tubes of higher surface contact with the sample (15 mL, MetalFree Labcon&#8482;) suggest that instead of a slow change in SA speciation, a weak interaction with the tube walls could explain the decrease of the signal with the equilibration time. This hypothesis is, however, still under investigation and is not yet confirmed. Another possibility could be the slow dissociation of FeSA 2 toward inorganic forms of Fe such as colloids and/or Fe oxyhydroxides. Indeed, it was recently shown that the solubilization of Fe oxyhydroxides by humic substances decreased with the age and stability of Fe oxyhydroxides <ref type="bibr">(Dulaquais et al., 2023)</ref>. A similar phenomenon could happen during the equilibration with SA, as Fe oxyhydroxide stabilization could pull the equilibrium toward their formation and, concomitantly, toward FeSA 2 dissociation with time.</p><p>The equilibration procedures show an agreement within 10% of the RSD for 46% of the comparison for L Fe and 21% for log K cond Fe&#8242;L , and an agreement within 25% of the RSD for 60% of L Fe and 43% of log K cond Fe&#8242;L .</p><p>These results attest to a rather good agreement between sequential and overnight equilibration procedure, especially for L Fe . With this comparison, we state that differences with other methods using overnight equilibration cannot be attributed only to the lack of equilibrium using sequential equilibration as stated in recent comparison studies <ref type="bibr">(Ardiningsih et al., 2021;</ref><ref type="bibr">Gerringa et al., 2021)</ref>.</p><p>For log K cond Fe&#8242;L , higher values are observed for several samples when applying the sequential equilibration (Fig. <ref type="figure">7c</ref>). This was not a systematic observation, but it does suggest the absence of adjunctive mechanism between natural and added ligands for several samples. Because none of the samples collected in the mixed layer showed higher log K cond Fe&#8242;L with the sequential equilibration, we suggest that a slower equilibration kinetic might take place between SA and some of the natural Fe-binding sites composing more aged and mineralized DOM compared to the more reactive Fe-binding ligands found in the mixed layer. Rather than discriminating an equilibration procedure, this comparison suggests that the mineralization state of the DOM impacts Fe-binding sites and their Fe&#8242;L values and 1:1 plots for b) L Fe and c) log K cond Fe&#8242;L of duplicate titration performed with overnight and sequential equilibration. For the 1:1 plots, the results are shown in function of the water masses, namely the Mixed Layer (ML; green triangles), the Subtropical Underwater (STUW; grey circles), the Antarctic Intermediate Water (AAIW; yellow diamonds), and the Pacific Deep Water (PDW; blue squares). The grey lines correspond to 10 and 25% RSD of the main value for all titrations for L Fe (5.1 nMeqFe) and of the range covered by the detection window for log K cond Fe&#8242;L (2). (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.) association/dissociation kinetic. It would be of upmost interest to carry out more comparative studies on the equilibration kinetic between natural Fe-binding ligands and SA, and to compare them to methods constraining Fe exchange kinetics (e.g., <ref type="bibr">Boiteau and Repeta, 2022)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Conclusion</head><p>We present in this paper a suite of recommendations intended to improve and ease the use of SA as an artificial ligand to investigate DFe organic speciation by CLE-AdCSV. The conditioning, voltametric and voltammogram treatment guidelines simplify the application of the SA method for Metrohm&#8482; and BASi systems, and the titration fitting procedure facilitates comparison and integration of results across laboratories. The titration fitting spreadsheet and procedure are newly developed and are open to recommendations from the community. The automated definition of the QF implemented in this work introduces a tool for qualifying the titration quality and improve data comparison between laboratories, and could help improving our understanding of the organic speciation of trace metals at local and global scales if integrated in future work. The interpretation procedure can be modified for the interpretation of organic speciation data regarding any metal and application specificities such as number of aliquots and voltammogram recorded. Essential aspects for the validation of the procedure include tests on the automation of the voltammograms treatment, on the definition of the sensitivity, and on the reproducibility of the analysis on diverse samples and on multiple analyses of a reference seawater.</p><p>Our comparison of equilibration procedures (sequential versus overnight) resulted in L Fe and log K cond Fe&#8242;L values within 25% RSD for more than half of the samples. The difference between duplicates in the other half appeared to be random and not systematically biased in one direction or another and suggested specific association/dissociation kinetics for different ligand assemblages. This could be the reason for the historical disagreement regarding the equilibration time in previous work <ref type="bibr">(Rue and Bruland, 1995;</ref><ref type="bibr">Buck et al., 2007;</ref><ref type="bibr">Abualhaija and van den Berg, 2014)</ref>. The impact of the equilibration time on the CLE-AdCSV results may be better constrained with the use of model ligands and novel mass spectrometry approaches to evaluate kinetics of DFe exchange between the natural binding ligands and the added SA (e.g., <ref type="bibr">Boiteau and Repeta, 2022)</ref>. These equilibration kinetics for DFe against SA could be a way to discriminate different kinds of ligands or bindingsites in natural samples. Such experiments have already been tested but on the time scale of hours to days <ref type="bibr">(Wu and Luther, 1995;</ref><ref type="bibr">Witter and Luther, 1998;</ref><ref type="bibr">Croot and Heller, 2012)</ref>. Our optimised SA method with shorter deposition time could allow the investigation of the equilibration kinetics on the time scale of minutes to hours, opening a way to further explore FeL association and dissociation kinetics. Ultimately, we also suggest that the DOM composition could explain the differences in the peak intensity of the FeSA 2 reduction as a function of the deposition potential applied. Indeed, the competition for adsorption on the mercury drop between FeSA 2 , surfactant, and/or electroactive DOM could be dependent on the potential applied. Further work should explore the possibility to develop an indirect pseudopolarographic titration of the DOM against SA.</p></div></body>
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