1 Rising Importance of Organosulfur Species for Aerosol Properties and Future 2 Air Quality

3 M. Riva1,#,¥,*, Y. Chen1,¥, Y. Zhang1,2, Z. Lei3, N. E. Olson4, H. C. Boyer Chelmo5, S. Narayan5, 4 L. D. Yee6, H. S. Green1,‡, T. Cui1, Z. Zhang1, K. Baumann7, M. Fort7, E. Edgerton7, S. H. 5 Budisulistiorini1,†, C. A. Rose1, I. O. Ribeiro8, R. L. e Oliveira8, E. O. dos Santos9, C. M. D. 6 Machado9, S. Szopa10, Y. Zhao11,§, E. G. Alves12, S. S. de Sá13, W. Hu14, E. M. Knipping15, S. L. 7 Shaw16, S. Duvoisin Junior8, R. A. F. de Souza8, B.B. Palm,14 J. L. Jimenez14, M. Glasius17, A. 8 H. Goldstein6, H. O. T. Pye1,18, A. Gold1, B. J. Turpin1, W. Vizuete1, S. T. Martin13,19, J. A. 9 Thornton10, C. S. Dutcher5, A. P. Ault3,4*, and J. D. Surratt1*

10 Affiliations: 11 1 Department of Environmental Sciences and Engineering, Gillings School of Global Public 12 Health, The University of North Carolina at Chapel Hill, Chapel Hill, NC, USA. 13 2 Aerodyne Research Inc., Billerica, MA, USA. 14 3 Department of Environmental Health Sciences, University of Michigan, Ann Arbor, MI, USA. 15 4 Department of Chemistry, University of Michigan, Ann Arbor, MI, USA. 16 5 Department of Mechanical Engineering, University of Minnesota-Twin Cities, Minneapolis, 17 MN, USA. 18 6 Department of Environmental Science, Policy, and Management, University of California, 19 Berkeley, CA, USA. 20 7 Atmospheric Research & Analysis, Inc., Cary, NC, USA. 21 8 Escola Superior de Tecnologia, Universidade do Estado do Amazonas, Manaus, Amazonas, 22 Brasil. 23 9 Department of Chemistry, Federal University of Amazonas, Manaus, Amazonas, Brazil. 24 10 Laboratoire des Sciences du Climat et de l'Environnement, CEA-CNRS-UVSQ-IPSL, Gif-sur- 25 Yvette, France. 26 11 Department of Atmospheric Sciences, University of Washington, Seattle, WA, USA. 27 12 Environment Dynamics Department, National Institute of Amazonian Research (INPA), 28 Manaus, Brazil. 29 13 John A. Paulson School of Engineering and Applied Sciences, Harvard University, 30 Cambridge, MA, USA. 31 14 Department of Chemistry and Cooperative Institute for Research in Environmental Sciences, 32 University of Colorado, Boulder, CO, USA. 33 15 Electric Power Research Institute, Washington, D.C, USA. 34 16 Electric Power Research Institute, Palo Alto, CA, USA. 35 17 Aarhus University, Dept. of Chemistry and iNANO, 8000 Aarhus C, Denmark.

1 36 18 National Exposure Research Laboratory, US Environmental Protection Agency, Research 37 Triangle Park, NC, USA. 38 19 Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA, USA. 39 40 # Now at the Univ Lyon, Université Claude Bernard Lyon 1, CNRS, IRCELYON, F-69626, 41 Villeurbanne, France. 42 43 ‡ Now at Department of Food Science and Technology, University of California, Davis, Davis, 44 CA, USA. 45 46 † Now at Earth Observatory of Singapore, Nanyang Technological University, Singapore 47 639798, Singapore. 48 49 § Now at School of Environmental Science and Engineering, Shanghai Jiao Tong University, 50 Shanghai, 200240, China. 51 52 ¥ These authors contributed equally to this work 53 54 *E-mail (M. R.): [email protected] 55 *E-mail (A. P. A): [email protected] 56 *E-mail (J. D. S): [email protected]

2 57 Abstract

58 Acid-driven multiphase chemistry of isoprene epoxydiols (IEPOX), a key isoprene oxidation

59 product, with inorganic sulfate aerosol yields substantial amounts of secondary organic aerosol

60 (SOA) through the formation of organosulfur. The extent and implications of inorganic-to-

61 organic sulfate conversion, however, are unknown. Herein, we reveal that extensive consumption

62 of inorganic sulfate occurs, which increases with the IEPOX-to-inorganic sulfate ratio (IEPOX:

63 Sulfinorg), as determined by laboratory and field measurements. We further demonstrate that

64 organosulfur greatly modifies critical aerosol properties, such as acidity, morphology, viscosity,

65 and phase state. These new mechanistic insights reveal that changes in SO2 emissions, especially

66 in isoprene-dominated environments, will significantly alter biogenic SOA physicochemical

67 properties. Consequently, IEPOX:Sulfinorg will play a central role in understanding historical

68 climate and determining future impacts of biogenic SOA on global climate and air quality.

3 69 Secondary organic aerosol (SOA) formed through the oxidation of volatile organic compounds is

70 a major and globally ubiquitous component of atmospheric fine particulate matter (PM2.5: aerosol

71 particles ≤ 2.5 μm in aerodynamic diameter).1 Aerosol chemical composition and

72 physicochemical properties, such as viscosity and phase state, play a central role in terms of the

73 effects of SOA on air quality and climate.2 Understanding how SOA forms and interacts with

74 other gas- and particle-phase species is crucial to accurately evaluating its importance in the

75 Earth’s climate system and adverse effects on public health.

2- - 76 Inorganic sulfate species (e.g., SO4 , HSO4 ) are also a significant PM2.5 component with

77 the capacity to impact atmospheric composition and climate, in part, because of its predicted

78 impact on aerosol acidity, hygroscopicity, visibility and cloud nucleation.1,3 The oxidation of

79 dioxide (SO2) to (H2SO4) increases aerosol acidity, which enhances SOA

80 formation.4–7 Sulfur (S(VI)) in aerosols was generally assumed to be primarily present as

2- - 81 inorganic sulfate (SO4 and HSO4 ) ions until more recent studies revealed the presence of

8–12 82 organosulfur components in PM2.5. Despite observations that organosulfur compounds are

83 important contributors to SOA mass in a range of environments globally,13–18 estimations of

84 aerosol acidity and liquid water content typically assume that only inorganic sulfate plays a

85 role.19 Correctly identifying the chemical form of sulfate (i.e., inorganic vs. organic), and

86 representing it accurately in atmospheric models is essential as the different forms lead to

87 different aerosol physicochemical properties that will have different predicted impacts on air

88 quality and climate.2

89 Laboratory studies have demonstrated that acid-driven multiphase chemistry (i.e.,

90 reactive uptake) of isoprene epoxydiols (IEPOX) is key to explaining the chemical form and

91 extent of SOA formation from photochemical oxidation of isoprene 20–23 and field measurements

4 92 have confirmed this is the predominant pathway.24–29 While chamber studies have shown that

93 organosulfur compounds, specifically organosulfates (OS) 30 formed by the reactive uptake of

94 IEPOX with particulate inorganic sulfate, contribute significantly to IEPOX-SOA,31,32 the extent

95 and implications of sulfate conversion to organic forms have remained unknown.

96 Combined laboratory, field, and modeling studies described herein reveal a hitherto

97 unrecognized impact of the acid-driven multiphase chemistry of IEPOX, specifically substantial

98 conversion of inorganic sulfate to organosulfur compounds. Laboratory experiments show for

99 higher IEPOX:Sulfinorg ratios (e.g., Amazon) increase sulfate conversion versus lower ratios (e.g.,

100 southeastern U.S. (SE-U.S.)). Future sulfate reductions in the Northern Hemisphere are expected

101 to greatly increase the fraction of inorganic sulfate converted. This was likely also the case for

102 pre-industrial conditions, when inorganic sulfate was much lower. In sum, these major changes

103 in the SOA chemical composition due to IEPOX reactive uptake govern aerosol physicochemical

104 properties.

105 Uncharted IEPOX conversion of inorganic sulfate to organosulfur. Despite the wealth of

106 studies on the reactive uptake of IEPOX, its reactivity remains poorly constrained.22,23,26,31,33,34

107 We performed controlled chamber experiments in the presence of ammonium bisulfate (ABS)

108 seed particles (pH = 1.5) at ~50 % relative humidity (RH) using atmospherically-relevant ratios

109 of IEPOX:Sulfinorg (Table S1). Fig. 1 shows that immediately following IEPOX addition, rapid

110 conversion of inorganic sulfate is observed under all conditions measured by a particle-into-

111 liquid sampler (PILS) coupled to an ion chromatograph (IC) with 5 minute resolution. This

112 depletion is correlated to IEPOX-OS and oligomeric-OS (quantified by liquid chromatography

113 coupled to electrospray ionization high-resolution mass spectrometry (LC/ESI-HR-MS) from the

114 same PILS samples), which is supported by computational modeling.35 IEPOX-OS accounts for

5 115 most (90-100%) of the converted sulfate within the first 40-60 min under conditions that mimic

116 IEPOX:Sulfinorg ratios relevant to both the SE-U.S. (Fig. 1A) and the Amazon (Fig. 1B). As

117 shown in Fig. 1A and B ~40% of inorganic sulfate injected into the chamber is converted to

118 organosulfur under SE-U.S. conditions, while up to 90% is converted to organosulfur under

119 Amazonian conditions. One hour following IEPOX injection, stabilization of inorganic sulfate

120 commences, indicating that IEPOX uptake is inhibited due to various reasons described further

121 below. One possibility is the presence of organic coating as suggested in recent studies.32,36

122 Meanwhile, the concentrations of IEPOX-OS start to decrease in all experiments. A net

123 reduction (up to 30% in one hour) of the three quantified OS species indicates that IEPOX-OS

124 are not stable and react to yield as yet uncharacterized organosulfur compounds. One potential

125 class of species, sulfur-containing oligomers, were observed below quantifiable levels in the

126 positive ion mode.

127 Interestingly the conversion of inorganic-to-organic sulfate appears to be mainly driven

128 by the IEPOX:Sulfinorg ratio as illustrated in Fig. 1C. Indeed, our results clearly demonstrate that

129 the conversion fraction of inorganic to organosulfur correlate with the initial concentrations of

130 IEPOX and inorganic sulfate. Hence, IEPOX:Sulfinorg ratio is a critical and previously uncharted

131 factor in the conversion of inorganic-to-organic sulfate. High IEPOX:Sulfinorg ratios (>2) are

132 common over large geographic areas globally, as shown in Fig. 1D, especially in equatorial

133 regions and the Southern Hemisphere. Based on our experimental results, we infer that a higher

134 S(VI) fraction is likely in organic forms in those regions, which are undersampled relative to the

135 Northern Hemisphere. Overall, our chamber experiments reveal the central role of IEPOX in the

136 speciation and fate of inorganic sulfate in the atmosphere.

6 137 Concentration of ambient organosulfur. Over the past 30 years, air pollution regulations in the

-1 138 Northern Hemisphere have led to decreases in SO2 concentration of 5.7 % yr in the U.S. and

-1 37 2- -1 139 5.1 % yr in Europe. Recent studies project a reduction of SO4 of ~4.5% yr based on current

38,39 2- 140 efforts. Fig 2A illustrates this trend and presents the SO4 concentration over the last 10

141 years measured at the Great Smoky Mountain Site (Look Rock, TN)40 which is strongly

142 influenced by isoprene chemistry.25 A decrease of inorganic sulfate by a factor of 6 is correlated

143 with a subsequent rise in organosulfur by a factor of 5. In addition, events with high organosulfur

144 fractions tend to correlate with low inorganic sulfate concentrations (Fig. 2B), which is

145 consistent with a previous analysis11 and corroborate our laboratory findings. The increase in the

146 IEPOX:Sulfinorg ratios within the next decades is predicted, using our laboratory experiments, to

147 significantly shift the distribution of inorganic sulfate towards organosulfur (Fig. 1C). Since the

148 pre-industrial period, inorganic sulfate has significantly increased41,42 while the concentration of

43 149 isoprene has remained constant. This trend indicates that IEPOX:Sulfinorg was likely much

150 higher during the pre-industrial period than currently, and possibly had a major role in SOA

151 physicochemical properties in isoprene-dominated areas. While the estimated conversion from

152 chamber studies is an upper limit as the reactive uptake of IEPOX is sensitive to other

153 environmental factors (e.g. NOx, organic coating, RH, etc.), this underappreciated trend is central

154 to understanding future air quality and radiative forcing.

155 Molecular characterization of SOA samples collected in isoprene-rich areas show that OS

156 alone contribute to a substantial mass fraction of S(VI) in PM: on average 8% (up to 25%) in the

157 SE-U.S. and 20% (up to 45%) in downwind Manaus (Figs. 2C and S1). Indeed, OS masses range

158 from 400-1500 ng m-3 (Tables S2-S4), at the high end of previous studies.24,25,30,44,45 While the

159 sum of OS in the SE-U.S. is significantly different from that of downwind Manaus, isoprene-OS

7 160 nevertheless represent the predominant OS in both areas. During the 2013 Southern Oxidant and

161 Aerosol Study (SOAS) campaign, total mass concentrations of organosulfur compounds were

162 also determined by isotope ratio inductively coupled plasma mass spectrometry ((IR-ICP-MS);

163 Fig. S1). The average total sulfur mass and the total inorganic sulfate measured by IR-ICP-MS

-3 164 and IC respectively, differs by 300 ± 200 ngSO4 m . This is an estimate of total organosulfur

165 and provides an organosulfur/total sulfate ratio similar to that previously observed.11,12,46

166 Although total OS + MSA exhibits a strong correlation (r2 = 0.78) with the total mass

167 concentration of organosulfur compounds (Fig. S2), the identified products explain only 50-60%

168 of the total mass of organosulfur quantified in PM2.5 during the 2013 SOAS field campaign. In

169 other words, 16% of the inorganic sulfate is converted into organosulfur (Fig. S2) in excellent

170 agreement with the chamber experiments presented here. Using the fit obtained from all chamber

171 experiments (Fig 1C) and estimating an IEPOX:Sulfinorg ratio of 0.24 based on collocated

172 measurements during the field campaign,47 inorganic sulfate conversion to organosulfur is

173 estimated to be ~15% .

174 Atmospheric impact of the acid-driven reactive uptake of IEPOX. Herein, we demonstrate

175 that high levels of inorganic-to-organic sulfate conversion will significantly alter surface tension,

176 aerosol acidity, morphology, viscosity, and reactivity. These altered properties can then modify

177 climate-relevant aerosol properties, such as enhancing CCN activity due to reduced surface

178 tension.48

179 Because acidity is one of the governing factors of atmospheric multiphase chemistry,5 the

180 response of condensed-phase acidity to inorganic-to-organic sulfate conversion was further

181 investigated. The widely used thermodynamic models assume sulfate only as inorganic S(VI),

182 leading to inconsistencies in charge balance in the condensed phase when a substantial

8 183 proportion of OS are assumed to be inorganic.49,50 While organic compounds can reduce the rate

184 of ammonia-to-particle partitioning, exclusion of organosulfur from thermodynamic models

185 within aerosol may contribute to an even larger discrepancy in acidity. As an example, Fig. S3

186 shows the pH of aerosols when not considering the contributions of IEPOX-OS to acidity from

187 the chamber experiments, compared with a thermodynamic box model constructed to take

188 IEPOX-OS into consideration. The results reveal that a large increase of pH occurs if OS are not

189 considered, suggesting that aerosol pH is higher than currently predicted from measured

190 inorganic sulfate in locations where inorganic-to-organic sulfate conversion is substantial (e.g.,

191 Amazon, future S-E U.S.). In cases where total sulfate (measured by ACSM or AMS) is treated

192 as inorganic sulfate and input to thermodynamic models, aerosol pH could be underpredicted.

193 Acid-driven multiphase chemistry of IEPOX also leads to a modification of the aerosol

194 morphology from a well-mixed sphere to a core-shell structure, shown by phase images from

195 atomic force microscopy (AFM) at ambient temperature and pressure (Fig. 3A-C), as well as

196 scanning electron microscopy (SEM) images (Fig. S4) of SOA collected from chamber

197 experiments. These results are consistent with previous theoretical and semi-empirical studies

51,52 198 predicting frequent phase separation for particles in the SE-U.S. Larger IEPOX:Sulfinorg

199 ratios lead to thicker organic shells (e.g., Amazon) and can be correlated with the relatively

200 larger amounts of particulate IEPOX-OS and corresponding oligomers (sum of OS corresponds

201 to 27% of total inorganic sulfate in Fig 1A and 69% in 1B). Hence, OS and oligomeric-OS may

202 lead to a net modification of the morphology of the OA.

203 Over the course of the experiment, as inorganic sulfate is consumed and OS are formed,

204 the particle phase becomes more viscous and particle heights increase (Fig. 3D). Height images

205 and profiles from AFM were used as a proxy for liquid, semi-solid, or solid phase of the organic

9 206 component, which is largely composed of inorganic sulfate for the seed and organosulfur for the

207 SOA. The observation of more viscous aerosol is supported by model simulations of molecular

208 tracer viscosity based on recent studies,2,53 which suggests that IEPOX-OS has viscosity values

209 of 1-4 orders of magnitudes higher than α-pinene SOA when the RH levels are lower than 70%

210 (Fig. 3E). Hence, IEPOX-OS can significantly increase the viscosity of aerosol particles,

211 compared to isoprene-SOA generated in atmospheric simulation chambers from self-nucleation

212 under high concentrations without the addition of acidic sulfate particles.54

213 IEPOX-SOA exhibits much lower volatility than structure-based vapor pressures of

214 polyols would predict,55 which is likely explained by the large inorganic-to-organic sulfate

215 conversion. Given the high modelled viscosity of IEPOX-OS and likely higher viscosity values

216 of oligomeric-OS, the OS coating would have a stronger reduction effect on multiphase

217 chemistry compared to coatings with α-pinene SOA.36 It has been reported that SOA particles

218 sampled in the Amazon rainforest were liquid as the RH was higher than 80%, suggesting no

219 diffusion limitation on multiphase chemistry at RH>80%.56 Even though the average RH is close

220 to 80% for both the Amazon and SE-U.S., Fig. S5 and previous measurements show that the

221 median daytime RH in those regions is consistently lower than 70% (40-50% during the dry

222 season in the Amazon), concordant with the hours of maximum diurnal IEPOX-SOA

223 production.36,57 Hence, limited diffusion due to IEPOX-derived OS will be more likely to affect

224 multiphase chemistry during daytime in isoprene-rich environments, reducing heterogeneous

225 SOA formation from compounds that are generated by photooxidation reactions.

226 The change in morphology is further supported by measuring the interfacial tension (IFT)

227 depression of the major IEPOX-SOA products in microfluidic platform experiments. Surface

228 tension and IFT are proxy measures of surface concentrations, as tensions will decrease with

10 229 increased bulk-to-surface partitioning of surface-active components in the aqueous droplets. IFT

230 depression was observed in all cases (Fig. 4A and S6), and IFT was lower when ammonium

231 sulfate (AS) was present. IEPOX-OS has a propensity for salting out in the presence of AS,

232 which helps to explain the dependence of shell thickness on the ratio of IEPOX:Sulfinorg. In fact,

233 lowering of the IFT in salty solutions indicates potential salting out58,59 of the organic due to an

234 enhancement of organic activity, driving more organic molecules to the surface. In turn, the

235 salting out effect subsequently alters the SOA physicochemical properties by changing

236 morphology to a core-shell structure rather than a homogeneously mixed particle36 Salting out

237 effects are quantified by combining the Setschenow equation and a two parameter surface and

60 238 IFT model. The setschenow constant (Ks) indicates salting out when positive for organic-

239 inorganic aqueous systems. Fig. 4A shows model treatment for IEPOX-OS in pure water and in

240 salty water and reveals that IEPOX-OS has a propensity for salting out. The reduction of surface

241 tension by IEPOX-SOA may alter the climate properties of aerosols by suppressing the surface

242 tension to enhance cloud droplet formation from aerosols in organosulfur-rich particles, causing

243 larger droplets to form before and during cloud activation.48

244 Fig 4B illustrates the limiting effects of IEPOX-SOA products on aerosol reactivity due

245 to the slight decrease in acidity, the core-shell morphology, and the salting out effect induced by

246 organosulfur compounds. A dramatic decrease of the reactive uptake coefficient of IEPOX

247 (γIEPOX) was observed as atmospheric-equivalent exposure time increases, highlighting the

248 profound modification of IEPOX-SOA on aerosol reactivity, explains the presence of IEPOX in

249 the gas phase (Fig. S7), and the stabilization of inorganic sulfate (Fig. 1A and B) in our

250 laboratory experiments. While previous studies have shown that other organic coatings tend to

251 reduce such multiphase chemical processes,23,32,36 the results presented in Fig. 4B provide direct

11 252 evidence that IEPOX-SOA has a self-limiting effect and formation of an IEPOX-SOA coating

253 prevents further SOA formation mainly during daytime, when RH is lower and aerosol is phase

254 separated with a more viscous shell.

255 In sum, this study demonstrates that acid-driven multiphase chemistry of IEPOX converts

256 a significant fraction of inorganic sulfate to organosulfur within a range of IEPOX:Sulfinorg ratios

257 relevant to most isoprene-dominated environments. We further demonstrate through laboratory

258 and field measurements the substantial conversion of sulfate, underlining the major role of

259 IEPOX in controlling the chemical form of S(VI). Retrospective examination of field data in the

260 SE-U.S. consistently shows that the contribution of organosulfur to S(VI) has been increasing

261 with declining inorganic sulfate. IEPOX reactive uptake results in a core-shell morphological

262 configuration confirmed by microscopic imaging. Through chemical aging, IEPOX-OS

263 transforms into uncharacterized organosulfur compounds, impeding further reactive uptake of

264 IEPOX. In isoprene-dominated areas, IEPOX-OS, and potentially other biogenic/anthropogenic

265 OS, likely govern the physicochemical properties of aerosol as well as the distribution of the

266 inorganic species such as sulfate or ammonium. Consequently, aerosol growth, multiphase

267 reactions, including aging and reactive uptake of other species, and CCN activity changes occur

268 due to surface tension, acidity, hygroscopicity and viscosity modifications. These changes could

269 greatly impact atmospheric composition, air quality and associated health impacts, and the net

270 climate forcing of biogenic SOA formed over isoprene-dominated areas. Hence, changes in SO2

271 emissions at different locations around the world and time periods have major implications for

272 the physicochemical properties of atmospheric fine aerosols and, ultimately, their global

273 radiative forcing.

274

275 Methods

12 276 Smog Chamber Experiments. Experiments were performed in the indoor environmental chamber facility

277 at the University of North Carolina.31,61 The experimental setup and analysis techniques used in this work

278 were described in detail previously. Briefly, experiments were carried out under dark and wet conditions

279 (50 ± 4 %, RH) at 296 ± 1 K in a 10-m3 Teflon chamber. A summary of the experimental conditions is

280 provided in Table S1. Prior to each experiment, the chamber was flushed continuously with clean air for ~

281 24 hours corresponding to a minimum of seven chamber volumes until the particle mass concentration

282 was < 0.01 μg m-3 to ensure that there were no pre-existing aerosol particles. Chamber flushing also

283 reduced VOC concentrations below the detection limit. Temperature and RH in the chamber were

284 continuously monitored using a dew point meter (Omega Engineering Inc.). Acidified ammonium sulfate

285 seed aerosols were injected into the pre-humidified chamber using a custom-built atomizer with an

286 aqueous solution of 0.06 M (NH4)2SO4 (aq) and 0.06 M H2SO4 (aq) until desired total aerosol mass

287 concentration was achieved. After seed injection, the chamber was left static for at least 30 min to ensure

288 that the seed aerosol was stable and uniformly mixed. Then, a known amount of trans-β-IEPOX,

289 synthesized in house,62 was injected into the chamber at 2 L min−1 for 10 min and then 4 L min-1 for 50

290 min by passing high-purity N2 (g) through a heated manifold (60°C).

291 Aerosol size distributions were continuously measured using a differential mobility analyzer

292 (DMA, BMI model 2002) coupled to a mixing condensation particle counter (MCPC, BMI model 1710)

293 in order to monitor aerosol number, surface area, and volume concentration within the chamber. SOA

294 generated from the reactive uptake of IEPOX were collected using a PILS (BMI model 4001) throughout

295 each experiment. The aerosols are sampled through a 2.5 μm cut size impactor at a flow rate of

296 approximately ~ 13 L min-1 with a strip denuder (Sunset Labs) upstream of the impactor to remove

297 organic vapor. Cool sample air flow was mixed adiabatically with a steam flow heated at 98.5-100℃ in

298 the PILS condensation chamber, which allows aerosol particles to grow into collectable size for collection

299 by a quartz impactor plate. Impacted droplets were transferred by a wash-flow at 0.50 – 0.55 mL min-1

300 into a debubbler and the resulting bubble-free sample liquid was delivered through a tubing with an inline

13 301 filter into 2 mL glass vials held on an auto-collector (BMI) with a rotating carousel. Air sampling rate and

302 wash-flow rate were checked and recorded before and after each experiment. Milli-Q water used in the

303 wash-flow was spiked with 25 µM of lithium bromide (LiBr) as an internal standard to correct for dilution

304 caused by condensation of water vapor during droplet collection inside the PILS (information regarding

305 the determination of the dilution factor for samples collected by the PILS are provided in the

306 supplementary information). Under the configuration used in this work, a fine time resolution (up to 5

307 min) was used to collect PILS samples for the subsequent offline chemical analyses by IC and

308 UPLC/ESI-HR-QTOF-MS. The PILS vials were promptly stored under dark conditions at 2ºC after

309 collection and analyzed within 24 h without further pretreatment.

310 Flow Tube Experiments. Measurements of the uptake coefficient of IEPOX (γIEPOX) on aqueous

311 ammonium bisulfate particles shown in Fig. 4B were conducted in an aerosol flow tube coupled to an

312 iodide-adduct chemical ionization mass spectrometry (CIMS), operation conditions have been described

313 previously.63,64 The flow tube, CIMS, as well as aerosol and gas phase IEPOX generation have been

314 described in detail previously.23 Briefly, the flow tube consists of a 6 cm i.d. and 90 cm long Pyrex

315 cylinder having inner walls coated with wax to reduce the wall loss of IEPOX gas.

316 Ammonium bisulfate aerosols were generated using a constant output atomizer (TSI Inc., Model 3076)

317 from dilute solutions (0.1 wt %). The atomizer output was diluted and conditioned to about 38% RH by

-1 318 mixing with a 3 L min of humidified ultrahigh purity (UHP) N2 flow before entering the flow tube. The

319 IEPOX gas was generated by flowing a 30 standard cubic centimeters per minute (sccm) of UHP N2 over

320 ~200 μl trans-β-IEPOX solution in ethyl acetate kept in a glass bulb at room temperature (~23 °C), and

321 was added to the flow tube via a movable injector downstream of the aerosol flow inlet. A constant 2 L

322 min-1 of conditioned aerosol flow was drawn through the flow tube by the CIMS and a scanning mobility

323 particle sizer (SMPS) connected to the flow tube exit, which provided real-time measurements of the gas-

324 phase IEPOX concentration and particle size distribution, respectively IEPOX injector was moved in 10

325 cm increments from the bottom 10 cm to the top 70 cm of the flow tube to vary the reaction time between

14 326 IEPOX and aerosol particles. Control experiments without adding particles to the flow tube were

327 performed to determine the effects of reactor walls. The decay of gas phase IEPOX signal versus the

328 injector position (reaction time) in the presence and absence of particles was measured to derive a pseudo-

329 first-order rate constant, kobs and kwall, respectively, for the loss of gas-phase IEPOX in the flow tube. The

330 pseudo-first-order reaction rate constant for IEPOX uptake onto particles, khet, is then the difference

331 between kobs and kwall. The IEPOX signals derived at every three adjacent injector positions (i.e., 10-30,

332 20-40, 30-50, 40-60, 50-70 cm), which correspond to different average reaction times, were used to

333 determine the khet and then γIEPOX as a function of reaction time. Additional information on the data

334 fittings are provided in supplementary information.

335 Measurements of γIEPOX shown in Fig. S8 were conducted using a cylindrical glass flow reactor (1

336 m in length with 8 cm ID) coated also with halocarbon wax (Halocarbon Products Corp.). Aerosols were

337 generated with a constant output atomizer (TSI Inc., Model 3076) from 0.06 M of ammonium sulfate

338 (Sigma Aldrich, ≥99% purity) mixed with an equivalent concentration of sulfuric acid (Sigma Aldrich,

339 ≥98% purity). A flow of 40 psi of purified air was sent through the atomizer to generate a constant aerosol

340 flow of 3 L min-1. Atomized acidic sulfate particles first passed through a Nafion tube (Perma Pure,

341 Model PD-200T-12) in order to be dried to 15% RH before entering into an electrostatic classifier (TSI

342 Inc., Mode 3080L). In the electrostatic classifier and the differential mobility sizer (DMA; TSI Inc.,

343 Model 3080), the sheath flow was selected to be 12 L min-1 and three aerosol mobility diameters were

344 selected, i.e., 60 nm, 100 nm and 200 nm, by varying the voltage inside the DMA column. These particles

345 were then injected at ~ 5.2 L min-1 into the two side inlets at the top of the flow tube and perpendicular to

346 the flow axis. Trans-β-IEPOX (>99%) was delivered to the flow reactor by passing ~0.32 L min-1 of high-

-1 347 purity N2 (g) into a 10 mg mL IEPOX solution dissolved in ethyl acetate. IEPOX was introduced into

348 the aerosol stream through a 1/8-inch stainless steel tube that can be moved from the top to the bottom of

349 the flow tube reactor, altering interaction times between trans-β-IEPOX and the aerosol particles. At the

350 base of the reactor, aerosol flow exited the flow tube in order to measure real-time aerosol size

15 351 distributions and total surface area concentrations (Sa) by using a SMPS consisting of an electrostatic

352 classifier (TSI, Inc., Model 3080) and a condensation particle counter (CPC, TSI, Inc., Model 3022A).

353 The outlet of the flow tube was also coupled to an iodide-CIMS and a RH-temperature sensor (Omega

354 Engineering Inc.) recording the RH every 5 s.

355 Collection of PM2.5 samples. Ambient SOA from two isoprene-dominated environments (SE-U.S. and

356 Amazon forest) were collected onto quartz filters during 3 intensive campaigns: (i) during the 2013

357 Southern Oxidant and Aerosol Study (SOAS) campaign from 1 June to 15 July 2013 at the CTR, AL

358 ground site; (ii) from 18 July through 1 August 2016 from downtown Manaus, Brazil and (iii) during the

359 Green Ocean Amazon (GoAmazon2014/5) field campaign65 during intensive operating period 2 (IOP2).

360 Additional information regarding filter collections are provided in supplementary information.

361 Aerosol Chemical Characterization. Chemical characterization of the PM2.5 samples and the PILS vials

362 was performed by UPLC/ESI-HR-Q-TOFMS (6520 Series, Agilent) operated in the negative ion

363 mode.33,66 Total water-soluble organosulfur compound mass was determined from the difference between

364 total water-soluble sulfur measured by IR-ICP-MS and sulfate-sulfur measured by IC on the same sample

365 aliquot Samples extractions, operating conditions, standard preparation, uncertainty estimates are

366 described in detail in supplementary information.

367 Microscopy Imaging. Aerosol particle samples were collected before, during, and after IEPOX reactive

368 uptake to confirm core-shell structure. A 3-stage microanalysis particle sampler (MPS-3, California

369 Measurements, Inc.) with size cuts of 5.0, 2.5, and 0.4 μm was operated at 2.1 L min-1. Particles were

370 impacted onto carbon-type-b Formvar-coated copper transmission electron microscopy (TEM) grids and

371 silicon wafer substrates (Ted Pella, Inc.). Samples were stored in sealed vials at room temperature

372 prior to analysis. For AFM particles on silicon substrates were imaged in 5x5 μm regions by an AFM

373 (Anasys Instruments) in tapping mode with 75 ± 15 kHz resonant frequency and 1-7 N m-1 spring

374 constant at ambient laboratory temperature (~23 °C), pressure, and RH (~36%). A FEI Helios 650

375 Nanolab-Dualbeam electron microscope equipped with a high angle annular dark field (HAADF) detector

16 376 operated at an accelerating voltage of 10.0 kV, a current of 0.80 nA, and pressures ranging from 10-3 to

377 10-5 Pa analyzed TEM grids. For SEM particles were analyzed orthogonal to the beam on TEM grids and

378 at a 55 degree angle (tilted) on the silicon wafer.

379 Biphasic Microfluidics. Surface and interfacial tensions inform solute surface-bulk partitioning and,

380 therefore, the availability of compounds for interactions with the ambient, such as heterogenous chemistry

381 and water uptake. We measure liquid-liquid interfacial tensions of isoprene tracer 2-methyltetrols (2-MT)

382 and its organosulfate derivative (3-methyltetrol ester sulfate, IEPOX-OS) using a biphasic microfluidic

383 platform. A microfluidic chip is fabricated using standard soft-lithography techniques 67–69 and mounted

384 on an inverted microscope. Two immiscible liquid phases separately enter the device by pressure-driven

385 flow, 70 and droplet breakup is induced by a flow-focusing geometry 71–73 Aqueous solutions containing

386 the SOA are the dispersed (droplet) phase, and silicone oil is the carrier (continuous) phase. The dispersed

387 phase enters a contraction geometry downstream, which induces deformation of the liquid-liquid interface

388 due to an extensional flow field. This deformation, a result of the balance between interfacial tension and

389 deforming force due to flow, is imaged at high speed, and related to material and flow-field properties 74–

390 79 to calculate the interfacial tension between silicone oil and aqueous SOA solutions through the

391 following equation of motion:

5 − = . 2̂ +3

392 In the above equation, is a function of the viscosity ratio ̂, is the continuous phase viscosity,

393 is the extensional strain rate in the contraction, is the velocity of the droplet centroid, is

394 the deformation, is the un-deformed diameter of the spherical droplet, and is the interfacial tension

395 between the aqueous and oil phases. is defined by Taylor 74–76 as = , where

396 and are the major and minor diameters of the deformed droplet respectively. A plot of the

397 left side of the equation of motion versus is linear in the small-deformation regime 74,76. A straight

398 line is fit to the linear portion of the curve, and the slope of the line is equal to the interfacial tension. A

17 399 single high-speed video may contain tens of droplets, hence the median value of interfacial tension is

400 reported here. All interfacial tension values reported in this work are then normalized by the interfacial

401 tension of pure water with silicone oil measured with microfluidics (30 mN/m). Fig. S9 shows the so-

402 called ‘Taylor plots’ for 2-methyltetrols and IEPOX-OS samples (in water), corresponding to the

403 normalized data points shown in Fig. 4A and S5.

404 We use no more than 0.5 mL of 100 mg/mL aqueous SOA in each experiment. The surface

405 partitioning of SOA is analogous to that expected to occur in aerosol droplets in the atmosphere, as

406 discussed in Metcalf et al.70 Techniques for measurement of interfacial tension using biphasic

407 microfluidics are outlined in prior work.70,80

408 Further, microfluidic experiments were conducted with SOA samples (2-MT and IEPOX-OS)

409 extracted from filters using methanol as the solvent. It is observed (Fig. S10a and Fig. S10b) that

410 methanol itself causes a significant decrease in interfacial tension compared to pure water. Furthermore,

411 similar to the 2-MT and IEPOX samples in water, interfacial tension depression was observed with

412 methanol as the solvent for SOA samples. Fig. S10a shows the slight decrease in interfacial tension

413 measured with 2-methyltetrols in methanol, compared to the solvent (methanol in water). At 50 mg/mL

414 SOA, IEPOX-OS shows a larger depression in interfacial tension compared to 2-MT (Fig. S10b). Finally,

415 significant salting out is observed when ammonium sulfate is added, observed at 25 mg/mL of IEPOX-

416 OS in Fig. S10b.

417 A surface tension model using adsorption isotherms and based on statistical mechanics was

418 applied to the microfluidic measurements for the 2-MT (Fig. S6) and IEPOX-OS compounds (Fig. 4A).

419 Additional information can be found in the supplementary information.

420 Viscosity Model. The viscosity of methyltetrol sulfate is based on a revised version of the Vogel-

421 Tammann-Fulcher (VTF) model specially designed to simulate the viscosity of secondary organic

422 materials by DeRieux et al.53 To calculate the viscosity of IEPOX-OS, IEPOX-OS dimer and trimer, the

423 glass transition temperautres of the compounds were calcaulted based on the improved paramterizaiton

424 described in DeRieux et al.53 To give a conservative estimation, the sulfur atom in IEPOX-OS is assumed

18 425 to have the same effect on glass transition temperature as an atom, The glass transition

426 temperatures of IEPOX-OS, IEPOX-OS dimer and trimer are estimated to be 298 K, 333 K, and 360 K

427 respectively. The glass transition temperature of uncharacterized IEPOX-OS is assumed to be the same as

428 the methyltetrol sulfate dimer. The mixture of the IEPOX-OS is based on the ratio of each OS compound

429 measured in Fig. 1 at 120 min. Then the viscosity values of the IEPOX-OS are calculated based on

430 estimation of the fragility, hygroscopicity, and Gordon-Tayler parameter of know secondary organic

431 compounds. Specifically, the fragility is calcualted based on the fitting results of 95 organic compounds.53

432 The upper hygroscospity value of 0.15 is based on the upper hygroscopicity range of organic compounds.

433 And Gordon-Tayler parameters between IEPOX- OS and water, as well IEPOX-OS themselves is

434 assumed to be 2.5, and 1 based on previous studies.53,81,82 Parameters used for the glass transition

435 temperature of dry SOA (Tg, org), hygroscopicity (κ), fragility (D), and the Gordon–Taylor constant

436 (kGT): (1) 278.5K, 0.1, 10, and 2.5 for α-pinene SOA; (2) 298K, 0.12, 13, and 2.5 for 2-methyltetrol

437 sulfate; (3) 313 K, 0.12, 13, and 2.5 for IEPOX-OS mixture. The shaded regions were determined by

438 varying these parameters. (1) Upper (lower) limit: Tg,org = 300 K (268.5 K), κ = 0.1 (0.1), D = 20 (10),

439 kGT = 2.5 (3.0); (2) upper (lower limit): Tg,org = 320 K (288 K), κ = 0.10 (0.15), D = 20 (10), kGT = 2.5

440 (3.0); (3) upper (lower limit): Tg,OS mixture = 330 K (303 K), κ = 0.10 (0.15), D = 20 (10), kGT = 2.5

441 (3.0).

442 Thermodynamic Model of Aerosol pH. The pH of aerosol particles during the reaction processes are

443 calculated using a thermodynamic model employing two methods. More information are provided in the

2- 444 suppementary information. Briefly, the first method uses measured SO4 concentration as well as the

+ 445 NH4 concentration at the beginning of the experiment as the input values. The IEPOX-OS concentration

446 was not considered. The second method takes all of the cations and anions in the aqueous aerosol particle.

+ 2- - 447 The proton balance equation together with the mass balance equations for NH4 , SO4 , HSO4 , and

448 IEPOX-OS monomer, dimer, and trimers were built to solve the H+ ion concentration. The gas-particle

+ -1 449 balance of the NH3 and NH4 was considered with a Henry’s law constant of 0.0161 atm M . A growth

19 450 factor of 1.3 was used to calculate the liquid water content of the particles. The activity coefficients for all

451 ions were assumed to be 1. A detailed description of the thermodynamic model is in a following

452 manuscript.

453 Global Modeling. The IEPOX/SO4 mass ratio has been computed based on numerical simulations

454 performed with the LMDz-OR-INCA global climate-chemistry model. The description of the model

455 representation for sulfate as well as the general features of the LMDz-OR-INCA model can be found in

456 Szopa et al. 83 The chemical mechanism for IEPOX is the one described by St Clair et al.84 It considers

457 three different isomers of IEPOX produced by three different geometrical configurations of the isoprene

458 hydroxyperoxide (ISOPOOH) produced through the isoprene oxidation.

459 The LMDz-OR-INCA model is used with a 3.8° lat x 1.87° lon horizontal resolution and 39 vertical

460 levels. The wind fields are nudged on the ECMWF reanalysis for the year 2010 (considering first a one

461 year spin-up). The anthropogenic emissions are those from the Representative Concentration Pathways

462 (RCP) considering the year 2010 in the 8.5 trajectory (compatible with the evolution of radiative forcing

463 equivalent in 2100 to 8.5 W.m-2)85. The biomass burning emissions correspond to the GFED-v4 inventory

464 for the year 2010. The anthropogenic, ship and fire emissions of SO2 are respectively of 40.5; 5.9 and 1.1

465 TgS yr-1. The biogenic emissions are computed by the ORCHIDEE vegetation model as described

466 elsewhere 86. They lead to a global annual isoprene emission of 466 TgC yr-1 inducing a production of

467 IEPOX of 115 TgC yr-1, which is consistent with the one found by St Clair et al. 84.”).

468

20 469

470 Fig. 1. Laboratory conversion (RH=50%) of inorganic-to-organic sulfate during the reactive uptake of

-3 -3 471 IEPOX at IEPOX (μg m ):Sulfinorg (μg m ) ratios atmospherically relevant to (A) SE-U.S. (ratio=2) and

472 (B) Amazon (ratio=14), respectively. Time zero indicates injection of IEPOX into the chamber. IEPOX-

473 OS dimer and trimer concentrations are shown on and expanded scale for clarity. (C) Filled markers

474 indicate the conversion of inorganic-to-organic sulfate as a function of IEPOX:Sulfinorg in chamber

475 experiments at RH~50%. Colors correspond to those shown in Fig. 1C. Red open circles correspond to

476 the IEPOX:Sulfinorg within the next 50 years, based on inorganic sulfate reduction rates from Attwood et

38 39 477 al. and Hand et al. , and assuming constant IEPOX. Shows the yearly average IEPOX:Sulfinorg across

478 the world for present-day conditions using the LMDz-OR-INCA global climate-chemistry model. White

479 color indicates no sulfate (non-sea salt) or IEPOX concentration.

480

21 481

482 Fig. 2. (A) Correlation between total sulfate and organosulfur fraction and (B) Evolution of organosulfur

483 fraction as a function of inorganic sulfate at the Great Smoky Mountain Site (Look Rock, TN) during

484 summer (May – September) from 2007-2016, using the National Park Service IMPROVE PM2.5 database.

2- 485 A value of 3×S/ SO4 lower than 1 is caused by the limitation of the analytical techniques to differentiate

2- 40 486 3×sulfur from SO4 . (C) Average mass concentration of the molecular-level identified organosulfates +

487 methane (OS + MSA) and total organosulfur compounds (Org-S) in the PM2.5 samples

488 collected during the 2013 SOAS campaign as well as the average mass concentrations of the sum of OS +

489 MSA quantified in downwind Manaus and Manaus. AMS data from SE-U.S. and downwind Manaus are

490 also presented.

22 A Seed aerosols B SE-U.S. C Amazon E

Thicker Coating Thinner Coating no coating

0.5 µm 0.52 µm 0.47 µm

4 5. µ 0 µm 9 0 µm m µ 6. 0 µm m 3 µm µm µm 4 µm 5.1 5.6 D 300 ABS SE-U.S. 200 Amazon

100 Height (nm) Height 0 -1000 -500 0 500 1000 491 Distance (nm)

492 Fig. 3. (A), (B), and (C) atomic force microscopy (AFM) phase images (upper part) of ammonium

493 bisulfate seed (ABS), IEPOX-SOA generated from the reactive uptake of IEPOX in the presence of wet

494 acidic aerosol at RH~50% and IEPOX:Sulfinorg ratios atmospherically relevant to SE-U.S. and Amazon,

495 respectively. Middle row of (A), (B), and (C) are height maps. (D) Represents the average height profile.

496 (E) Comparison of the measured and predicted viscosity of α-pinene SOA (purple), predicted IEPOX-OS

497 (red) and IEPOX-OS mixtures at 298 K as a function of RH. The data points represent measured viscosity

498 values of α-pinene SOA. The solid lines represent estimated viscosity of α-pinene SOA 53, IEPOX-OS,

499 and IEPOX-OS mixtures (IEPOX-OS + Oligomeric-OS). The shaded areas represent the upper and lower

500 bounds of the viscosity estimation for each type of SOA.

501

23 AB 0.20

0.15

0.10 IEPOX IEPOX Υ

0.05

0.00 0 10 20 30 40 50 502 Atmospheric equivalent exposure time (hour) 503 Fig. 4. (A) Interfacial tensions (IFT) and model for IEPOX-OS. Shown are microfluidic measurements of

504 IT (circles); two parameter model treatment to SOA in pure water (solid line), using a binary model 80,87 ;

505 and model treatment of SOA in ammonium sulfate (AS) solution (dashed line), using an adapted form of

506 the binary model for salt-containing organic aqueous solutions that includes known organic model

507 parameters from the solid line and the Setschenow constant as the single adjustable model parameter

508 (dashed line). (B) IEPOX reactive uptake coefficient (γIEPOX) on aqueous ammonium bisulfate particles as

509 a function of atmospheric equivalent exposure time defined as the length of the time that an aerosol is

510 exposed to IEPOX gases, assuming gas-phase IEPOX concentration of 1 ppb and an aerosol surface area

511 density of 300 μm2 cm-3. The atmospheric equivalent exposure time obtained from the experimental

512 reaction time multiplying the ratio of experimental to ambient concentration of IEPOX (i.e., 75)

513 represents an upper limit.

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641 Fellowship Program in Environmental Chemistry for their financial support. The authors would

642 like to thank the Michigan Center for Materials Characterization for use and help with the SEM

643 and the Banaszak-Holl lab for the use and help with the AFM. The contents of this publication

644 are solely the responsibility of the authors and do not necessarily represent the official views of

645 the U.S. Environmental Protection Agency (U.S. EPA). Further, the U.S. EPA does not endorse

646 the purchase of any commercial products or services mentioned in the publication. The U.S. EPA

647 through its Office of Research and Development collaborated in the research described here. It

648 has been subjected to Agency administrative review and approved for publication but may not

649 necessarily reflect official Agency policy. The authors wish to thank the IMPROVE network.

650 IMPROVE is a collaborative association of state, tribal, and federal agencies, and international

651 partners. U.S. EPA is the primary funding source, with contracting and research support from the

27 652 National Park Service. The Air Quality Group at the University of California, Davis is the central

653 analytical laboratory, with ion analysis provided by Research Triangle Institute, and carbon

654 analysis provided by Desert Research Institute.

655

656 Funding: This work is also funded in part by the U.S. EPA grant R835404, the National Science

657 Foundation (NSF) grants AGS-1703535, AGS-1703019, AGS- 1554936, CHE-1404644 and

658 CHE-1404573 and by the National Oceanic and Atmospheric Administration (NOAA) Climate

659 Program Office’s AC4 program, award number NA13OAR4310064.

660

661 Author contributions: M. R., Y. C., A. P. A., and J. D. S. designed the study and experiments.

662 Z. L., N. E. O. and A. P. A. performed the microscopy analysis; H. C., S. N. and C. S. Dutcher

663 conducted the IFT measurements. L. D. Y., A. H. G., E. M. K., S. L. S., I. O. R., R. L. e O., E. O.

664 dos S., C. M. D. M., E. G. A., S. D. J., R. A. F. de S., and S. T. M. collected filter samples during

665 the different field campaigns. M. R., Y. C., T. C., Z. Z., K. B., M. F., E. E., S. H. B., H. S. G. and

666 M. G. performed the chemical characterization of the different laboratory and field samples. W.

667 H., B. B. P., S. S. de S., J. L. J. and S. T. M. provided AMS data during SOAS and Go-Amazon

668 field campaigns. Y. C., C. A. R., E. O. dos S., and T. C. conducted the chamber experiments. Y.

669 Z. and S. S. modelled the viscosity and the IEPOX:Sulfinorg, respectively. Y. Z. and J. A. T.

670 performed the flow tube experiments. M. R., Y. C., Y. Z., H. O. T. P., A. G., B. J. T., W. V., C.

671 S. D., A. P. A., and J. D. S. wrote the manuscript. All authors commented on the manuscript.

672

673 Competing interests: The authors declare no competing interests.

674

28 675 Data and materials availability: All data needed to evaluate the conclusions in the paper are

676 present in the paper or the supplementary information.

677

678 Additional information

679 Supplementary information and additional references are available in the online version of the

680 paper. Reprints and permissions information is available online at www.nature.com/reprints.

681 Correspondence and requests for materials should be addressed to M.R. or A. P. A. or J. D. S.

682 The datasets generated during and/or analysed during the current study are available from the

683 corresponding author on reasonable request.

684

29