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Sulfate radical-based advanced oxidation process (SR-AOP) has received increasing application interests for the removal of water/wastewater contaminants. However, limited knowledge is available on its side effects. This study investigated the side effects in terms of the production of total organic bromine (TOBr) and brominated disinfection byproducts (Br-DBPs) in the presence of bromide ion and organic matter in water. Sulfate radical was generated by heterogeneous catalytic activation of peroxymonosulfate. Isolated natural organic matter (NOM) fractions as well as low molecular weight compounds were used as model organic matter. Considerable amounts of TOBr were produced by SR-AOP, where bromoform (TBM) and dibromoacetic acid (DBAA) were identified as dominant Br-DBPs. In general, SR-AOP favored the formation of DBAA, which is quite distinct from bromination with HOBr/OBr -(more TBM production). SR-AOP experimental results indicate that bromine incorporation is distributed among both hydrophobic and hydrophilic NOM fractions. Studies on model precursors reveal that low molecular weight acids are reactive TBM precursors (citric acid > succinic acid > pyruvic acid > maleic acid). High DBAA formation from citric acid, aspartic acid, and asparagine was observed; meanwhile aspartic acid and asparagine were the major precursors of dibromoacetonitrile and dibromoacetamide, respectively.

INTRODUCTION

Bromide ion is a ubiquitous component of natural waters and its concentration significantly varies depending on the water source. [START_REF] Magazinovic | Bromide levels in natural waters: its relationship to levels of both chloride and total dissolved solids and the implications for water treatment[END_REF][START_REF] Fang | Bromate Formation from Bromide Oxidation by the UV/Persulfate Process[END_REF][START_REF] Richardson | Occurrence and Mammalian Cell Toxicity of Iodinated Disinfection Byproducts in Drinking Water[END_REF] When water is disinfected with chlorine, ozone or chlorine dioxide, bromide ion can be quickly oxidized to hypobromous acid (HOBr), which subsequently reacts with natural organic matter (NOM) to yield brominated disinfection byproducts (Br-DBPs) in an analogous way to hypochlorous acid (HOCl). Elevated bromide levels in source waters have been reported to induce a significant shift in speciation to Br-DBPs, attributed to HOBr being a more efficient substitution agent in comparison with HOCl. [START_REF] Westerhoff | Reactivity of natural organic matter with aqueous chlorine and bromine[END_REF] It has been shown that Br-DBPs are generally more cyto-and genotoxic than their chlorinated analogues. [START_REF] Richardson | Occurrence, genotoxicity, and carcinogenicity of regulated and emerging disinfection by-products in drinking water: A review and roadmap for research[END_REF] In recent years, sulfate radical (SO4 -)-based advanced oxidation processes (SR-AOPs) have gained great scientific and technological interests for the decontamination of groundwater, surface water and industrial wastewaters. Sulfate radical with a high standard reduction potential (2.5 -3.1 V) can react with a broad spectrum of organic contaminants at near diffusioncontrolled limits. 6 SO4 -can be generated through the activation of persulfates (i.e., peroxymonosulfate (PMS) and peroxydisulfate (PDS)) by alkaline, UV, heat, or transition metals. [START_REF] Furman | Mechanism of Base Activation of Persulfate[END_REF][START_REF] Guan | Influence of pH on the Formation of Sulfate and Hydroxyl Radicals in the UV/Peroxymonosulfate System[END_REF][START_REF] Johnson | Persulfate Persistence under Thermal Activation Conditions[END_REF][START_REF] Anipsitakis | Radical generation by the interaction of transition metals with common oxidants[END_REF] Compared to hydrogen peroxide, persulfates in solid state are relatively stable, therefore favoring storage and transportation. The strong oxidative capacity, relative stable nature, and high aqueous solubility of its precursor compounds (i.e., PMS and PDS), in combination with a variety of SO4 --generating techniques, make sulfate radical an excellent alternative for eliminating recalcitrant organic pollutants. Recently, promising treatment efficiency of SR-AOPs for waters with various challenging matrices (e.g., landfill leachate) has been reported. [START_REF] Sun | Oxone/Co 2+ oxidation as an advanced oxidation process: Comparison with traditional Fenton oxidation for treatment of landfill leachate[END_REF][START_REF] Deng | Sulfate radical-advanced oxidation process (SR-AOP) for simultaneous removal of refractory organic contaminants and ammonia in landfill leachate[END_REF][START_REF] Zhen | Novel insights into enhanced dewaterability of waste activated sludge by Fe(II)-activated persulfate oxidation[END_REF] Moreover, there has been interest in the application of SR-AOPs as alternative disinfectants. [START_REF] Anipsitakis | Chemical and microbial decontamination of pool water using activated potassium peroxymonosulfate[END_REF] Similarly to hydroxyl radical, the inorganic constituents of waters are usually competing scavengers of SO4 -. Halide ions are known as important sink of SO4 -. Particularly, bromide ion is of special concern because its reactivity with SO4 -is approximately 13-fold higher than that of chloride ion. [START_REF] Neta | Rate constants for reactions of inorganic radicals in aqueoussolution[END_REF][START_REF] Yu | Free radical reactions involving Cl-center dot, Cl-2(-center dot), and SO4-center dot in the 248 nm photolysis of aqueous solutions containing S2O8 2and Cl[END_REF] In the presence of bromide ions, bromine atom (Br  ) formation by SO4 - oxidation is quite fast. Once Br  is formed, it quickly reacts with bromide ion to produce dibromine anion radical (Br2 -). [START_REF] Zehavi | Oxidation of aqueous bromide ions by hydroxyl radicals. Pulse radiolytic investigation[END_REF] Besides, Br  and Br2 -can also undergo a series of reactions with Br -and H2O, leading to the generation of BrOH -and HOBr/OBr -(see Table S1 of the Supporting Information (SI)). [START_REF] Zehavi | Oxidation of aqueous bromide ions by hydroxyl radicals. Pulse radiolytic investigation[END_REF][START_REF] Neta | Rate constants for reactions of inorganic radicals in aqueous solution[END_REF][START_REF] Von Gunten | Advanced oxidation of bromide-containing waters: Bromate formation mechanisms[END_REF][START_REF] Mamou; Rabanl | Oxidation of aqueous bromide(1-) by hydroxyl radicals, studies by pulse radiolysis[END_REF][START_REF] Beckwith | Equilibrium and kinetics of bromine hydrolysis[END_REF] Direct reaction of bromide ion with the monosubstituted peroxide precursor of SO4 -(i.e., PMS) also occurs, however, the rate of active bromine formation is extremely low when PMS is used alone without activation (Figure S1). [START_REF] Fortnum | The kinetics of oxidation of halide ions by monosubstituted peroxides[END_REF] In water, these chain reactions involving reactive bromine species (i.e., Br  , Br2 -, BrOH -, and HOBr/OBr -) can be terminated by reacting with NOM to form brominated byproducts, which poses one of the primary issues of concern for the real water/wastewater application of SR-AOPs.

To date, no information is available about bromine-incorporation into organic matter from bromide-containing water during SR-AOPs. Therefore, the objectives of this research were to investigate the formation and speciation of regulated and emerging DBPs with respect to NOM properties, and to study and compare bromine-incorporation by SR-AOPs with bromination by HOBr/OBr -. Brominated trihalomethanes (THMs), haloacetic acids (HAAs), and haloacetonitriles (HANs) are the major Br-DBPs of concern in this study. Total organic bromine (TOBr) was used to evaluate the total incorporation of bromine into organic molecules.

Moreover, a range of structurally diverse model compounds including six amino acids (Group I), three phenolic compounds (Group II), and six carboxylic acids (Group III) which represent important moieties of NOM were tested to identify significant precursors of Br-DBPs and TOBr. [START_REF] Croué | Characterization of natural organic matter in drinking water[END_REF] Amino acids featuring high levels of organic nitrogen may promote nitrogenous disinfection byproducts (N-DBPs) formation. Haloacetamides (HAcAms), an emerging class of N-DBPs, were therefore monitored for experiments involving amino acids. The CuFe2O4 activated PMS process was employed to generate SO4 -, rather than UV/PMS or UV/PDS, to avoid any interference from UV irradiation. [START_REF] Zhang | Production of Sulfate Radical from Peroxymonosulfate Induced by a Magnetically Separable CuFe2O4 Spinel in Water: Efficiency, Stability, and Mechanism[END_REF]

MATERIALS AND METHODS

Materials.

A detailed description of reagents and preparation procedures of CuFe2O4 spinel catalyst and bromine stock solution is provided in Text S1 (SI).

NOM Samples and Selection of Model Compounds. Four previously isolated NOM fractions were employed in this study (Table S2, SI). Three hydrophobic NOM fractions (i.e., hydrophobic acids or HPOA obtained from base desorption, hydrophobic or HPO isolated with acetonitrile/water desorption) showing very different chemical composition were selected: SR HPOA isolated from the Suwannee River (Georgia, USA); SPR HPOA isolated from the South Platte River (Colorado, USA) and CR HPO obtained from Colorado River (California/LA Verne, USA). The hydrophilic acid and neutral fraction (BR HPIA+N) isolated from Blavet River (Côte D'Armor, France) was also used in this work. NOM fractions were isolated using two slightly different comprehensive isolation protocols described elsewhere. [START_REF] Hwang | Polar NOM : Characterization , DBPs, Treatment[END_REF] Three groups of model compounds representing functional moieties of NOM were selected as NOM surrogates.

Group I consisted of six amino acids (i.e., asparagine, glutamic acid, phenylalanine, tryptophan, tyrosine, and aspartic acid). Group II included three phenolic compounds (i.e., phenol, hydroquinone, and salicylic acid). Six carboxylic acids (i.e., citric acid, oxalic acid, malonic acid, succinic acid, maleic acid, and pyruvic acid) were selected as group III to represent low molecular weight acids. Structures and physicochemical properties of the model compounds are presented in Table S3 (SI).

Experimental Procedure. Experiments were conducted in duplicate or triplicate at room temperature (20 ± 2 o C) in 250 mL capped amber bottles (individual bottle per contact time) under headspace-free conditions. NOM isolate experiments were performed at a concentration of 5-7 mg L -1 (final DOC content of 2.2 to 2.7 mg L -1 was verified by TOC analyzer) in the presence of 2 mg L -1 bromide (25 µM Br -) buffered with 10 mM tetraborate, unless otherwise indicated. Reactions with model compounds were conducted with 50 µM individual molecule solutions in the presence of 4 mg L -1 bromide (50 µM Br -) buffered with 10 mM tetraborate.

Nitric acid and/or sodium hydroxide were used to adjust the initial pH of the solutions. For SO4 -based tests, the reaction was initiated by adding an appropriate amount of CuFe2O4 spinel catalyst and PMS (Sigma Aldrich, KHSO5•0.5KHSO4•0.5K2SO4) stock solution. The CuFe2O4/PMS system generates SO4 -as the major radical species and the sulfate radical yield ratio from PMS was approximately 1 mol per mol. [START_REF] Zhang | Production of Sulfate Radical from Peroxymonosulfate Induced by a Magnetically Separable CuFe2O4 Spinel in Water: Efficiency, Stability, and Mechanism[END_REF] The bottles were immediately capped and placed in a shaker (IKA ® KS 260) at a speed of 500 rpm to maintain complete homogeneity throughout the reaction. Samples were withdrawn at specific time intervals, immediately quenched with excess sodium nitrite, and then filtered through 0.45 μm glass fiber syringe filters before analysis. Bromination was conducted as a comparison by dosing a predetermined amount of HOBr/OBr -into the same amount of NOM isolates and model compound solutions buffered with 10 mM tetraborate in 250 mL amber bottles without headspace.

Analytical Methods. NOM solution analyses. Dissolved organic carbon (DOC) content was measured by a Shimadzu TOC-Vcsh Analyzer. UV absorbance at 254 nm was recorded using a Shimadzu UV-2550 UV-VIS spectrophotometer. A liquid chromatography-organic carbon detector (LC-OCD Model 8, DOC-LABOR, Germany) with a size exclusion chromatography column was employed to compare NOM compositions. Three-dimensional fluorescence excitation -emission matrices (FEEM) were obtained using an Aqualog® CDOM Fluorometer (Horiba Scientific, Japan). Further details with respect to LC-OCD and FEEM measurements are presented in Text S2 (SI).

Brominated organic compounds and residual oxidant. Samples for TOBr analysis were enriched through adsorption on activated carbon column using a TOX sample preparatory unit (TXA-03, Mitsubishi Chemical Analytech Co., Ltd, Japan). TOBr was then transformed into hydrogen halide under high-temperature (950 o C) combustion of the activated carbon for at least 30 min via an AOX-200 adsorbable halogen analyzer, and then collected in Milli-Q water as bromide ion. Off-line quantification of bromide ion was performed by ion chromatography (Dionex ICS-1600) equipped with a conductivity detector and a Dionex IonPac® AS-15 column (2 × 250 mm), using a 30 mM KOH solution at a flow rate of 0.4 mL min -1 as mobile phase. The obtained Br -concentration was used to calculate the concentration of TOBr (as µg L -1 Br -).

During bromination experiments, residual bromine was monitored at the time of sampling by DPD colorimetric method. Residual PMS was determined using colorimetric method after reacting with Co 2+ and ABTS to form a colored ABTS radical cation (further details in Text S3, SI).

Br-DBPs analysis. Samples for the analysis of THMs/HAAs were extracted with methyl tertbutyl ether (MTBE) within 1 h after quenching based on the EPA Method 551 and 552, respectively. HAcAms were extracted with ethyl acetate following a similar method to EPA Method 551. THMs, HANs, and HAcAms were quantified on a gas chromatography (Agilent 7890A) equipped with an electron capture detector (GC-ECD), while MTBE extracts for HAAs were analyzed on an Agilent 7890A GC equipped with Agilent 5975C inert XL MSD with Triple Axis Detector (GC-MSD). DBPs were separated on a DB-1701 (30 m × 250 µm × 0.25 µm) capillary column. Analytical details are provided in the SI (Text S3).

RESULTS AND DISCUSSION

Characteristics of NOM Isolates. The NOM isolates exhibited a wide range of SUVA254 values (Table S2). SR HPOA showed the highest SUVA254 (4.97 L mg -1 m -1 ), indicating a high degree of aromaticity, followed by SPR HPOA (3.11 L mg -1 m -1 ) and CR HPO (2.08 L mg -1 m -1 ). BR HPIA+N showed the lowest SUVA254 (1.27 L mg -1 m -1 ), which is characteristic of low content of aromatic moieties. Our previous works [START_REF] Hwang | Polar NOM : Characterization , DBPs, Treatment[END_REF] indicated that SR HPOA is characterized by the predominance of fulvic acid structures derived from lignins and tannins (high aromatic/phenolic carbon and carboxyl group contents) and CR HPO mainly incorporates fulvic acid structures derived from terpenoids (lower aromatic carbon and phenolic content, higher methyl group content) incorporating abundant polysaccharides moieties. SPR HPOA showed an intermediate composition with both types of aromatic structures well represented. [START_REF] Hwang | Polar NOM : Characterization , DBPs, Treatment[END_REF] In general, hydrophilic acids plus neutral NOM such as BR HPIA+N can be described as a mixture of aliphatic hydroxy acids (e.g., low molecular weight acids), Nacetylaminosugars, neutral carbohydrates, and neutral peptides. [START_REF] Hwang | Polar NOM : Characterization , DBPs, Treatment[END_REF] These differences in composition between the four NOM fractions are in good agreement with the additional structural information obtained by LC-OCD and FEEM analyses (Text S3 and Figures S2 to S4, SI).

Bromine-incorporation into NOM Isolates. Preliminary experiments with SR

HPOA were conducted to investigate the formation kinetics of TOBr and Br-DBPs from bromide-containing water by SR-AOP. Recent studies have shown that SO4 -can lead to complete conversion of Br -to BrO3 -in ultrapure water via HOBr/OBr -as an intermediate path. [START_REF] Fang | Bromate Formation from Bromide Oxidation by the UV/Persulfate Process[END_REF][START_REF] Lutze | Formation of bromate in sulfate radical based oxidation: Mechanistic aspects and suppression by dissolved organic matter[END_REF] However, no bromate formation was observed in this study in the presence of NOM. Moreover, the CuFe2O4 catalyst had negligible impacts on the UV absorbance at 254 nm and TOC of NOM isolates, suggesting insignificant adsorption of NOM on the catalyst (data not shown). Figure 1 illustrates TOBr and Br-DBPs evolution profiles by SR-AOP in the presence of 25 µM Br -at pH 7.5. TOBr was rapidly formed within the first 4 h, where fast decomposition of PMS (> 70%) was observed. After 4 hours, TOBr concentration slowly decreased throughout the duration of the experiment (24 h), which is probably due to reactions of sulfate radical with TOBr components. Bromoform (TBM) formation showed a similar trend as TOBr, suggesting that TBM can be oxidized by the sulfate radicals remaining in the system, which was confirmed by additional experiments (Figure S5). Yields of both dibromoacetic acid (DBAA) and monobromoacetic acid (MBAA) gradually increased with reaction time. As opposed to TBM, HAAs were not decomposed at longer reaction times. Low levels (< 4 µg L -1 ) of bromochloroacetonitrile (BCAN) and dibromochloromethane (DBCM) were produced due to the presence of trace chloride in the potassium bromide salt used to prepare the solutions.

Figures 234present the influence of PMS concentration, bromide ion concentration, and solution pH on the formation and speciation of TOBr and Br-DBPs by SR-AOP. In all cases TBM and DBAA were the dominant identified Br-DBPs. TOBr and HAAs increased with increasing PMS dosage, while the formation of TBM exhibited an increasing and then a decreasing pattern because of its destruction with excess sulfate radicals. Increasing bromide concentration enhanced the formation of TOBr, TBM, and DBAA (Figure 3), which was expected, as an increase in [Br -] led to a greater concentration of reactive bromine radical species in the system. As shown in Figure 4, the formation of both TOBr and identified Br-DBPs was highly pH-dependent. TOBr and DBAA gradually increased with increasing pH until reaching a maximum at pH 7.5 and then rapidly decreased as pH was further increased to 9.5, which is possibly related to the transformation of SO4 -to hydroxyl radical through the reaction with OH -.

The high efficiency of CuFe2O4/PMS system at neutral pH was discussed in detail in a previous study. [START_REF] Zhang | Production of Sulfate Radical from Peroxymonosulfate Induced by a Magnetically Separable CuFe2O4 Spinel in Water: Efficiency, Stability, and Mechanism[END_REF] The significant reduction of TOBr and DBAA at higher pH is also likely related to the non-radical self-dissociation pathway of PMS in alkaline conditions. [START_REF] Rastogi | Sulfate radical-based ferrous-peroxymonosulfate oxidative system for PCBs degradation in aqueous and sediment systems[END_REF] Besides, hydrolysis of DBAA at pH > 8.0 is believed to be another reason responsible for its reduced concentration at basic pH. [START_REF] Singer | In Basin Concepts of Disinfection By-Product Formation and Control[END_REF] TBM formation increased with increasing pH, which is consistent with the commonly accepted explanation that base-catalyzed hydrolysis mechanisms play a significant role in THM formation. [START_REF] Hua | DBP formation during chlorination and chloramination: Effect of reaction time, pH, dosage, and temperature[END_REF] This pH dependence of DBAA and TBM formation from NOM by SR-AOP follows the behavior expected for chlorination/bromination of NOM, suggesting that sulfate radical-induced formation of Br-DBPs showed some similarities compared to that of chlorination/bromination. As a result, further studies were conducted to fully address the differences and similarities between the two processes. AOP is different from that of HOBr/OBr -. Considerable formation of TOBr from NOM isolates by sulfate radical oxidation of bromide-containing water was observed, ranging from 56 -107 µg mg -1 C (Figure S6). On a molar basis, about 6.5 -12.2% (Figure 5a) of the initial bromide was transformed to TOBr. Nevertheless, SR-AOP produced much less TOBr than the bromination process. Approximately 8.5 -25% of initial bromine was incorporated into TOBr, likely due to (1) bromine being a preferable substituting agent 4 and (2) possible subsequent decay of brominated compounds by sulfate radical in SR-AOP system. [START_REF] Fang | Bromate Formation from Bromide Oxidation by the UV/Persulfate Process[END_REF] It is known that identified DBPs only account for a fraction of the total organic halogen (TOX). In fact, approximately 50% of the TOX from chlorination of natural waters remains unknown, [START_REF] Richardson | Occurrence, genotoxicity, and carcinogenicity of regulated and emerging disinfection by-products in drinking water: A review and roadmap for research[END_REF][START_REF] Krasner | Occurrence of a new generation of disinfection byproducts[END_REF][START_REF] Hua | Effect of bromide and iodide ions on the formation and speciation of disinfection byproducts during chlorination[END_REF][START_REF] Kristiana | The formation of halogen-specific TOX from chlorination and chloramination of natural organic matter isolates[END_REF] while over 70% formed by chloramines has not been identified. [START_REF] Kristiana | The formation of halogen-specific TOX from chlorination and chloramination of natural organic matter isolates[END_REF][START_REF] Diehl | DBP formation during chloramination[END_REF] In the present study, quantified Br-DBPs only constituted 22 -33% of TOBr during SR-AOP, compared to 28 -48% in bromination (Figure 5a). Speciation analysis revealed that DBAA was the predominant Br-DBPs during SR oxidation, accounting for 90 ± 6% of HAAs and 54 ± 6% of total identified Br-DBPs by weight, followed by TBM which contributed to 75 ± 3% of the THMs and 31 ± 3% of total identified Br-DBPs. In contrast, NOM isolates were more susceptible to the formation of Br-THMs upon bromination.

TBM was by far the major contributor of total identified Br-DBPs (63 -86% on a weight basis) upon bromination, while DBAA and TBAA contributed to 5.2 -10.4% and 3.2 -5.3%, respectively (Figure 5b Interestingly the hydrophilic NOM isolate (i.e., BR HPIA+N) with the lowest SUVA254 formed high amounts of both TOBr and Br-DBPs similar to those formed from SR HPOA (Figure 5a).

These results demonstrate that SR-AOP favors the formation of DBAA in comparison to bromination which tends to produce more TBM. The DBAA yields from various NOM isolates during SR-AOP were 2.4 -5.84 times higher than those from bromination. The hydrophilic fraction as well as hydrophobic acid with the highest SUVA254 value were the dominant sources of TOBr and Br-DBPs during SR-AOP, while good correlations (R 2 > 0.81) were observed between aromaticity of NOM and Br-DBP formation during bromination. The significant differences in distribution and speciation pattern of Br-DBPs upon SR-AOP and bromination suggest that sulfate radical-induced DBPs formation involves different reaction mechanisms as compared to bromination. In the SR-AOP system, both SO4 -and bromine radicals (e.g., Br  and Br2 -) can react with organic compounds via abstraction of hydrogen, addition to unsaturated compounds or one-electron oxidation. [START_REF] Neta | Rate constants for reactions of inorganic radicals in aqueoussolution[END_REF] As such, multiple pathways could be involved in the formation of TOBr and Br-DBPs by SR-AOP. To further understand the importance of precursor characteristics and the DBPs formation mechanisms in SR-AOP system, a broad spectrum of model compounds were tested as precursors.

Formation of TOBr and Br-DBPs from Model Compounds. Table 1 summarizes the incorporation of 50 µM bromide ion (i.e., 4 mg L -1 ) into 50 µM model compounds by SR-AOP (100 µM PMS and 50 mg L -1 CuFe2O4) at pH 8 and 24 h of contact time. Bromination of 50 µM model compounds by 50 µM HOBr at pH 8 was tested for comparison. Results for 2 h of reaction were also provided in Table S4 (SI). Consistent with the observation of bromine incorporation into NOM isolates, SR-AOP induced higher yields of DBAA and MBAA for nearly all the model precursors in comparison to bromination.

Particularly, LMW acids (Group III) were certainly the most important precursors of TBM during SR-AOP, while TBM yields from amino acids (Group I) and phenolic compounds (Group II) were minimal. Upon SR-AOP and bromination, TBAA mainly originated from LWM acids and phenolic compounds, respectively. For the SR-AOP system, TBM formation from each aliphatic carboxylic acid predominated over the other identified Br-DBPs, whereas DBAA was the major species from amino acids and phenolic compounds. Formation of N-DBPs was observed by both SR-AOP and bromination of amino acids, although generally to a small extent except for asparagine.

Among the studied model compounds, citric acid (a very HPI acid), was the most reactive Br-DBPs precursor upon SR-AOP, yielding the highest amounts of TBM (1144.3 µg L -1 ), DBAA (434.6 µg L -1 ), and MBAA (85.3 µg L -1 ). More than 35.8% of initial bromide ion was incorporated into TOBr, where the identified Br-DBPs accounted for nearly 100% of TOBr.

Bromination of citric acid also yielded comparable TBM and to a lesser degree DBAA after 24 h. However, TBM formation from bromination was much slower as only 14.0% was produced within 2 h, whereas more than 68.8% of the 24 h TBM yield was formed in 2 h by SR-AOP.

Sulfate radicals are known to efficiently react with most aliphatic carboxylic acids, leading to oxidative decarboxylation of these compounds. [START_REF] Madhavan | Decarboxylation by SO4 •radicals[END_REF] Besides, reaction rate constants of SO4 - scavenging by carboxylate ions are siginificantly higher than their corresponding carboxylic acids due to the fact that the former proceeds by one electron transfer from the carboxylate group to SO4 -and the latter via hydrogen abstraction from C-H bond. [START_REF] Grgic | Scavenging of SO4radical anions by monoand dicarboxylic acids in the Mn(II)-catalyzed S(IV) oxidation in aqueous solution[END_REF] Consequently, decarboxylation of aliphatic carboxylic acids by SO4 -through one electron transfer is favored in this study as most LMW acids were deprotonated into carboxylate anion at pH 8 (see Table S3 for the pKa values). For citric acid, SO4 -first abstracts one electron from the carboxylate group of β-carbon followed by the loss of CO2 and the formation of a corresponding C-centered radical (HOC  (CH2COO -)2) which then converts the hydroxyl group of the β-carbon to a more stable form of keto group. The resulting 3-oxopentanedioic acid (HOOC-CH2-C(O)-CH2-COOH), an aliphatic β-keto acid, favors rapid halogenation at the two enolizable methylene groups doubly activated by adjacent carbonyl groups. [START_REF] Larson | Citric acid: Potential precursor of chloroform in water chlorination[END_REF] Subsequent decarboxylation/hydrolysis or oxidation of the ketone gives rise to substantial TBM, DBAA, and MBAA formation. Bromination of 3oxopentanedioic acid at pH 8 was reported to be relatively fast. [START_REF] Dickenson | Haloacetic acid and trihalomethane formation from the chlorination and bromination of aliphatic beta-dicarbonyl acid model compounds[END_REF] As such, oxidative decarboxylation of citric acid and subsequent transformation into 3-oxopentanedioic acid are believed to be the rate-limiting step responsible for the slower TBM formation kinetics of citric acid by bromination as compared to SR-AOP.

Pyruvic acid, an α-keto acid, was another important TBM precursor by SR-AOP. TBM accounted for 95% of the TOBr formed followed by a small amount of DBAA. Although to a lesser extent, bromination of pyruvic acid also yielded considerable amount of TBM.

Chlorination of pyruvic acid was reported to proceed via dominated oxidation pathway (> 98.5%), yielding TCAA as major byproduct. [START_REF] Reckhow | Mechanisms of organic halide formation during fulvic acid chlorination and implications with respect to preozonation[END_REF] In this study, the electrophilic substitution pathway dominates given the prevailing TBM yields. The reaction pathway discrepancy between SR-AOP/bromination and chlorination is likely due to a higher reactivity of bromine species than chlorine in halogenating reactions. It is reasonable that α-hydrogens in methyl group of pyruvic acid undergo three successive halogenations upon the attack by bromine radicals or bromine to 8.1% of initial bromide was incorporated into TOBr formed from maleic acid by SR-AOP, and TBM contributed to 43.6% of TOBr. In contrast, bromination showed different patterns of speciation with 19.1% bromine being converted into TOBr, while TBM accounted for only 3.76% of TOBr. The significantly higher TBM formation by SR-AOP is believed to result from the preference of sulfate radical on oxidizing unsaturated carbon bonds. [START_REF] Antoniou | Intermediates and Reaction Pathways from the Degradation of Microcystin-LR with Sulfate Radicals[END_REF] Initially, the attack of SO4 -on the carbon-carbon double bond of maleic acid leads to the formation of oxobutanedioic acid (HOOC-C(O)-CH2-COOH) through hydroxylation along with isomerization.

Decarboxylation of oxobutanedioic acid occurs yielding pyruvic acid, which eventually leads to the formation of TBM upon further reactions. It is also probable that oxobutanedioic acid, which is also an aliphatic β-keto acid, contains an activated methylene group especially susceptible to halogenation. After halogenation, decarboxylation likely occurs yielding a dibromopyruvic acid, which can undergo halogenation followed by hydrolysis to yield TBM. Bromination of maleic acid is known to proceed via anti-addition reaction on alkene group to form a stable mixture of dibromomaleic acid enantiomers, [START_REF] Weiss | Aqueous bromination of maleate and fumarate ions[END_REF] which would explain the relatively higher TOBr and considerably lower TBM formation observed.

For the three saturated dicarboxylic acids (i.e., oxalic acid, malonic acid, and succinic acid) subjected to SR-AOP, both TBM and DBAA yields increased with increasing carbon chain length. Insignificant substitution occurred on oxalic acid upon SR-AOP with less than 3.7% of bromine incorporated into TOBr. Oxalic acid being the simplest dicarboxylic acid with its two carbon atoms in the maximum oxidation state, decarboxylation proceeding twice to yield two carbon dioxides should be the dominating reaction pathway, supported by the conclusion of Zhang et al. [START_REF] Zhang | Production of Sulfate Radical from Peroxymonosulfate Induced by a Magnetically Separable CuFe2O4 Spinel in Water: Efficiency, Stability, and Mechanism[END_REF] Upon attack by sulfate radical, malonic acid also undergoes decarboxylation to form acetic acid which can be hardly halogenated due to the inductive effect of carbonyl group and the absence of an electron donating alkyl group. In this study, succinic acid was the second most significant TBM precursor upon SR-AOP (see Table 1) with more than 14.4% of initial bromine being converted into TBM. It is likely that decarboxylation of succinate occurs twice followed by complete halogenation to yield two TBM. For bromination, both oxalic acid and succinic acid were characterized by a low bromine demand (see Table S5), and low TOBr and TBM formation, where only 2.3% and 1.5% of bromine was incorporated into TOBr, respectively. Similar findings were also observed when oxalic acid was subjected to chlorination. [START_REF] Bond | Disinfection Byproduct Formation and Fractionation Behavior of Natural Organic Matter Surrogates[END_REF] Bromination of malonic acid led to nearly no TBM formation, but yielded significant amount of DBAA with 9% of bromine being incorporated into DBAA after 24 h and more than 71% being formed within the first 2 h. This high DBAA formation can be explained by the presence of an α-carbon flanked by two adjacent carbonyl functional groups enhancing electrophilic substitution. Accordingly, malonic acid undergoes α-bromination twice to give a dibromomalonic acid which subsequently decarboxylates to DBAA.

Upon SR-AOP, asparagine was a predominant precursor of dibromoacetamide (DBAcAm) (117.4 µg L -1 at 24 h) which along with DBAA (74 µg L -1 at 24 h) were the major Br-DBPs generated. DBAcAm yield (1068.6 µg L -1 ) from bromination of asparagine was substantial with over 19% of initial bromine being incorporated into DBAcAm, which was more than 8 times of that from SR-AOP. DBAA and DBAN were also produced from bromination of asparagine (233.3 µg L -1 and 112.9 µg L -1 , respectively). DBAcAm was formed to a considerably higher extent by bromination. Besides, asparagine exhibited a very fast DBAcAm formation rate upon bromination with nearly 100% being formed within 2 h, while DBAN slowly increased from 14.9 µg L -1 at 2 h to 112.9 µg L -1 at 24 h. This result suggests that the majority of DBAcAm is not likely a result of the dihaloacetonitrile (i.e., DBAN in this study) hydrolysis pathway. [START_REF] Shah | Halonitroalkanes, Halonitriles, Haloamides, and N-Nitrosamines: A Critical Review of Nitrogenous Disinfection Byproduct Formation Pathways[END_REF] In contrast, the side-chain amide group of asparagine plays a key role in DBAcAm formation, similarly to the mechanism of asparagine chloramination proposed by Huang et al. [START_REF] Huang | Dichloroacetonitrile and Dichloroacetamide Can Form Independently during Chlorination and Chloramination of Drinking Waters, Model Organic Matters, and Wastewater Effluents[END_REF] Compared to bromination, the lower DBAcAm formation from asparagine by SR-AOP may result from the oxidation of the side-chain amide nitrogen group by sulfate radical and bromine radicals (Br • /Br - (2.00 V)) due to their high redox potential. Small amounts of bromoacetamide (BAcAm) were generally detected from amino acids subjected to SR-AOP with asparagine as the major precursor. However, this was not observed during bromination. Aspartic acid, selected as a hydrophilic surrogate, was the second most reactive precursor of DBAA (198.3 µg L -1 ) and MBAA (18.3 µg L -1 ) and the principal contributor of DBAN (29.2 µg L -1 ) as a result of SR-AOP. Similar formation patterns were also observed from chlorination of aspartic acid. [START_REF] Bond | Disinfection Byproduct Formation and Fractionation Behavior of Natural Organic Matter Surrogates[END_REF] The relatively high formation of DBAA can be explained by the preferential formation of 3-oxopropanoic acid at pH 8 which is an aliphatic β-keto acid compound and a moiety known to have high dihaloacetic acid formation potential. [START_REF] Dickenson | Haloacetic acid and trihalomethane formation from the chlorination and bromination of aliphatic beta-dicarbonyl acid model compounds[END_REF][START_REF] Hureiki | Chlorination studies of free and combined amino acids[END_REF] Bromination of amino acids exerted a significant bromine demand, where nearly 100% bromine was consumed within 2 h (Table S5). Asparagine and tyrosine exhibited a high halogenation efficiency with 39.4% and 32.6% of initial bromine being converted into TOBr in 24 h, respectively, while the other amino acids were characterized by lower TOBr formation (< 6%).

Model compounds with phenolic groups including tyrosine, phenol, and salicylic acid were major precursors of TOBr upon both SR-AOP and bromination. This would be attributed to the electron-donating effect of hydroxyl group attached to the aromatic ring, therefore facilitating the electrophilic aromatic substitution by both reactive bromine radicals and bromine. For Group II in the SR-AOP system, DBAA was the major identified Br-DBPs followed by TBM and MBAA, while no formation of TBAA was observed (Table 1). On the other hand, bromination of model compounds with phenolic groups produced considerable amounts of TBM followed by small amounts of TBAA and DBAA.

Environmental Significance. It is proved in our previous study [START_REF] Zhang | Production of Sulfate Radical from Peroxymonosulfate Induced by a Magnetically Separable CuFe2O4 Spinel in Water: Efficiency, Stability, and Mechanism[END_REF] that PMS forms innersphere coordination (i.e., specific adsorption, a strong surface interaction which is not influenced by ionic strength) with the surface metal sites of CuFe2O4. In excess of PMS, one can expect that the bromine species generated in the solution would have limited access to the metal sites of the catalyst because these sites are already occupied by PMS. Figure 1a shows that bromine incorporation into the organic structure (i.e., bromination) finished within 4 hours, while the remaining PMS concentration in the solution was still above 10 µM. Therefore, PMS was in excess during the major bromination reaction. Although this study is based on the specific CuFe2O4-induced sulfate radical generation process, the result can still largely represent the bromination trend of organic matter in SR-AOPs. Our study reveals that SO4 -based-AOPs produces brominated byproducts including regulated and emerging Br-DBPs when applied to waters containing bromide ions. At bromide concentrations relevant to natural environment (i.e., 2.5 -6.5 µM) our results showed that significant amount of TOBr (i.e., 25 -50 µg mg -1 C) with bromoform and dibromoacetic acid as the major identified Br-DBP species (i.e., 3.5 -6 and 2 -7 µg mg -1 C) can be produced from sulfate radical within 2 hours at pH 7.5. When applied as a decontamination strategy for natural waters (i.e., bromide containing ground or surface waters with DOC content ranging from 2 to 10 mg L -1 ), the potential risk of producing substantial amount of regulated and non-regulated Br-DPBs from sulfate radical oxidation should be considered. In the case of potable water production, the formed Br-DPBs from sulfate radical reaction (i.e., can be viewed as a polishing treatment step) may contribute for a significant part to the DBP content obtained after final disinfection. Moreover, special attention should be given to those containing a substantial fraction of hydrophilic NOM species not easily removed by conventional water treatment process (e.g., coagulation). Groundwater is also usually characterized by a considerable content of hydrophilic organic matter. [START_REF] Gallard | Formation of Iodinated Organic Compounds by Oxidation of Iodide-Containing Waters with Manganese Dioxide[END_REF] Particularly, SR-AOPs have already been applied in ground water remediation. [START_REF] Sra | Persulfate injection into a gasoline source zone[END_REF] Further investigation is required to elucidate the importance of other halide ions on the formation of halogenated byproducts by SR-AOPs and to monitor the evolution of active halide species as well. ASSOCIATED CONTENT Supporting Information. Detailed descriptions of materials and methods as well as supporting tables and figures are included in the SI. This information is available free of charge via the Internet at http://pubs.acs.org.

Compound

TOBr (µg L -1 ) DBAA (µg L -1 ) MBAA (µg L -1 ) TBAA (µg L -1 ) TBM (µg L -1 ) DBAN (µg L -1 ) DBAcAm (µg L -1 ) BAcAm (µg L -1 ) SO4 -/Br -HOBr SO4 -/Br -HOBr SO4 -/Br -HOBr SO4 -/Br -HOBr SO4 -/Br -HOBr SO4 -/Br -HOBr SO4 -/Br -HOBr SO4

Figure 5

 5 Figure 5 illustrates the formation and speciation of TOBr and Br-DBPs from various NOM

  and 5c). Besides, bromination tended to incorporate more bromine into HAAs to form mainly DBAA and TBAA, while SR-AOP yielded mainly DBAA and MBAA (to a lesser extent) with negligible TBAA formation, indicating again a different trend in Br-DBPs formation from active bromine species formed in SR-AOP as compared with bromination. For both SR-AOP and bromination, the formation of TOBr and Br-DBPs among different types of NOM isolates exhibited distinct variation, which could be related to the different NOM properties and their reactivities towards the oxidants. TOBr and Br-DBPs formation correlated well to the SUVA254 values of the three hydrophobic NOM isolates during SR-AOP.

  give a tribromopyruvic acid (CBr3-C(O)-COOH). Subsequent hydrolysis of this intermediate releases TBM and oxalic acid. Based on the formation of DBAA by SR-AOP, decarboxylation pathway that converts pyruvic acid to acetaldehyde (CH3CHO) should also occur. The resulting acetaldehyde favors halogenation at α-hydrogens, further oxidation leading to DBAA.

Figure 1 .Figure 2 .

 12 Figure 1. Kinetics of TOBr and Br-DBPs formation from bromide-containing water by SR-AOP:

Figure 3 .Figure 4 .Figure 5 .

 345 Figure 3. Bromine incorporation into TOBr and Br-DBPs under various bromide concentrations:

Table 1 .

 1 Formation of TOBr and Br-DBPs from Model Compounds Note: Incorporation of bromine into model compounds by SR-AOP: PMS = 100 µM; CuFe2O4 dose = 50 mg L -1 ; bromide = 50 µM; model compound = 50 µM; pH=8.0 in 10 mM tetraborate buffer; contact time 24 h. Bromination of model compounds: HOBr/OBr -= 50 µM; model compound = 50 µM; pH=8.0 in 10 mM tetraborate buffer; contact time 24 h. The results are the average values of duplicate tests. ND: not detected; NA: not applicable.

ACKNOWLEDGEMENTS

Research reported in this work was supported by the King Abdullah University of Science and Technology (KAUST) and the Fundamental Research Funds for the Central Universities (GK201402031).