Relative humidity effect on the formation of highly oxidized molecules and new particles during monoterpene oxidation

It has been widely observed around the world that the frequency and intensity of new particle formation (NPF) events are reduced during periods of high relative humidity (RH). The current study focuses on how RH affects the formation of highly oxidized molecules (HOMs), which are key components of NPF and initial growth caused by oxidized organics. The ozonolysis of α-pinene, limonene, and 13carene, with and without OH scavengers, were carried out under low NOx conditions under a range of RH (from ∼ 3 % to ∼ 92 %) in a temperature-controlled flow tube to generate secondary organic aerosol (SOA). A Scanning Mobility Particle Sizer (SMPS) was used to measure the size distribution of generated particles, and a novel transverse ionization chemical ionization inlet with a high-resolution time-of-fight mass spectrometer detected HOMs. A major finding from this work is that neither the detected HOMs nor their abundance changed significantly with RH, which indicates that the detected HOMs must be formed from water-independent pathways. In fact, the distinguished OHand O3-derived peroxy radicals (RO2), HOM monomers, and HOM dimers could mostly be explained by the autoxidation of RO2 followed by bimolecular reactions with other RO2 or hydroperoxy radicals (HO2), rather than from a water-influenced pathway like through the formation of a stabilized Criegee intermediate (sCI). However, as RH increased from ∼ 3 % to ∼ 92 %, the total SOA number concentrations decreased by a factor of 2–3 while SOA mass concentrations remained relatively constant. These observations show that, while high RH appears to inhibit NPF as evident by the decreasing number concentration, this reduction is not caused by a decrease in RO2-derived HOM formation. Possible explanations for these phenomena were discussed.


Introduction
New particle formation (NPF) is ubiquitous around the world (Kulmala et al., 2004).Newly formed particles contribute greatly to global particle populations and can grow further to act as cloud condensation nuclei (CCN), thereby influencing clouds and climate (Makkonen et al., 2012;Merikanto et al., 2009;Dunne et al., 2016).NPF characteristics vary from site to site because of varying precursors and atmospheric conditions.It has been widely observed that the intensity (Sihto et al., 2006;Dada et al., 2017) and frequency (Dada et al., 2017;Boy and Kulmala, 2002;Hyvönen et al., 2005) of continental NPF are reduced during periods of high relative humidity (RH), resulting in reduced ultrafine particle number concentrations during these periods (Weber et al., 1997).For example, 20 years of observations in the boreal forest at Hyytiälä, Finland, showed that NPF is more likely to happen during periods of low ambient RH (Dada et al., 2017).In urban areas, NPF also favors low RH (Cai et al., 2017;Shen et al., 2011).Despite the low continental NPF event frequency at high RH, NPF has still been observed in the free troposphere in the vicinity of clouds, where RH is extremely high (Weber et al., 1999) and in coastal and marine areas where RH is typically greater than 90 % (O'Dowd et al., 1998).
The widely observed anti-correlation between NPF and RH in the field experiments can be attributed to the indirect influence of water.For example, high RH often corresponds to greater cloud cover, which can lead to lower ground-level concentrations of photo-oxidized precursors such as H 2 SO 4 and highly oxidized molecules (HOMs) as well as an increased condensation sink that leads to scavenging of precursors and clusters (Hamed et al., 2011).On the other hand, water vapor may also directly influence NPF by regulating the formation of gas-phase precursors or by participating in cluster formation.For example, chamber and model experiments on the binary sulfuric acid-water system have demonstrated positive relationships between particle formation rate and RH (Duplissy et al., 2016;Merikanto et al., 2016), while in the ternary (H 2 SO 4 /MSA-H 2 O-amine/NH 3 ) system, H 2 O was reported to have either positive (Chen et al., 2015) or negative (Napari et al., 2002) effects on NPF.Some studies have hypothesized that high water content might suppress the formation of NPF-related organics from the oxidation of biogenic precursors (Hyvönen et al., 2005;Boy and Kulmala, 2002).However, no direct evidence of this has been provided.
Although sulfuric acid has been recognized as the most important precursor of new particle formation, it alone cannot explain the rapid formation and growth rates observed in the field (Kuang et al., 2008).Organic compounds, ammonia, amines, and water are also likely involved (Zhang et al., 2012;Chen et al., 2012;Yu et al., 2012).Organics have been shown to be very important for cluster formation and stabilization in theoretical studies (Ortega et al., 2016;Donahue et al., 2013), laboratory experiments (Tröstl et al., 2016;Schobesberger et al., 2013), and field measurements (Bianchi et al., 2016;Hoffmann et al., 2001;Metzger et al., 2010).Organics can either form clusters with sulfuric acid or purely with themselves (Zhao et al., 2013(Zhao et al., , 2009)).They can also contribute significantly to the condensational growth of newly formed particles, determining particle growth rates, particle lifetime, and global particle and CCN concentrations (Donahue et al., 2011;Vehkamäki and Riipinen, 2012).The ability of organics to take part in particle formation and condensational growth depends on their volatility as well as reactivity.HOMs, such as extremely low-volatility organic compounds (ELVOCs; saturation mass concentration (C * ) < 3 × 10 −4 µg m −3 ) or low-volatility organic compounds (LVOCs; 3 × 10 −4 < C * < 0.3 µg m −3 ), are likely contributors to NPF (Donahue et al., 2012;Ehn et al., 2014).
Despite their large contribution to NPF, the direct measurement of HOMs has long been a challenge because of their low atmospheric concentrations, low volatilities, and short lifetimes.Recently, the development of the highresolution time-of-flight chemical ionization mass spectrometer (HRToF-CIMS) overcame this barrier and made the measurement and identification of HOMs feasible (Junninen et al., 2010;Jokinen et al., 2012).HOMs from both monoterpene and aromatic oxidation showed high O/C ratios of > 0.7-0.8, and were present as monomers, dimers, and even higher order clusters (Molteni et al., 2018;Ehn et al., 2012).These high O/C ratios could not be explained by any of the formerly known oxidization pathways unless the autoxidation of RO 2 was taken into consideration (Crounse et al., 2013;Barsanti et al., 2017).The autoxidation of RO 2 includes intramolecular hydrogen shifts and O 2 additions.Several repetitions of the autoxidation cycle lead to a rapid increase in oxygen content as well as a decrease in saturation vapor pressure.Autoxidation was widely observed in condensed phase reactions; however, it was not considered in the gas phase previously due to the perception of a high barrier for the intramolecular hydrogen shift.This was confirmed by the fact that at higher temperatures, more HOMs are formed than at low temperatures (Frege et al., 2018).Modeling studies now show that intramolecular hydrogen shifts are fast enough to compete with bimolecular sink reactions (Kurten et al., 2015).
Since most laboratory experiments related to the formation of HOMs have been conducted under conditions of constant RH, usually low or medium RH of less than 60 % (Ehn et al., 2012;Zhang et al., 2015), it was still unknown whether and how water vapor might impact HOM formation.High RH conditions are difficult to achieve in chamber experiments without significantly changing temperature and pressure.In addition, HOM detection by the current commercially available CIMS inlet based on the design of Eisele and Tanner is subject to water cluster influence at high RH (Kürten et al., 2016).
In this research, three different endocyclic monoterpenes, α-pinene, limonene, and 3 -carene were reacted with ozone, with and without hydroxyl radical (OH) scavengers, in a reaction flow tube to generate secondary organic aerosol (SOA).RH influences on HOM formation and organicdriven NPF were studied under a range of RH from ∼ 3 % to ∼ 92 %.Generated closed-shell HOMs and RO 2 were measured using a home-built CIMS inlet coupled to a HRToF mass spectrometer (LTOF mass analyzer, Tofwerk AG).The CIMS inlet effectively reduced water clustering onto ions sampled into vacuum, thus removing sample artifacts caused by high water vapor levels.Water vapor influence on the formation of RO 2 , HOM monomers, and HOM dimers was studied.The volatility of O 3 -and OH-derived closedshell HOMs was estimated using a group-contribution-based model (SIMPOL) and a recently developed statistical model to study the potential contribution of O 3 -and OH-initiated chemistry on NPF.

Flow tube reactor
The experiments were performed in a laminar flow tube reactor consisting of a 150 cm long Pyrex glass cylinder with a volume of 8.5 dm 3 (Fig. 1).The flow tube was located in a temperature-controlled room (T = 293 ± 2 K) and was covered so that all experiments were performed under dark con- ditions.For these experiments, dry "zero air" was generated with a zero air generator (model 747-30, Aadco Instruments), with NO x and SO 2 concentrations each specified to be less than 0.5 ppbv.The monoterpenes were injected into the flow tube using a syringe pump (model NE-300, New Era Pump Systems, Inc.) evaporated into a 2.5 L min −1 flow of dry zero air.O 3 was generated by passing 0.5 L min −1 dry zero air (79 % N 2 , 21 % O 2 ) over a Hg UV lamp (model 90-0004-04, UVP, LLC) and then diluted with 6.5 L min −1 of humiditycontrolled zero air.A temperature-controlled bubbler filled with deionized water was used to generate humid air, and the prescribed RH was achieved by controlling the temperature of the bubbler.An ozone analyzer, described below, sampled at 1 L min −1 , resulting in a total flow rate of 8.5 L min −1 and a corresponding reaction time of ∼ 60 s for each experiment.Gas inlets to the flow tube were made from Teflon tubes with an outside diameter of 0.64 cm that were capped and drilled with ∼ 1 mm holes to distribute sample air uniformly into the flow tube, as described and modeled in Ball et al. (1999).The uniform distributions of O 3 and H 2 O in the flow tube were confirmed by measuring [O 3 ] and RH at the different locations prior to the experiments.In every experiment, RH was adjusted to be constant for at least 30 min for each of the four RH steps (3 %-5 %, 30 %-38 %, 58 %-65 %, 85 %-92 %).In order to achieve the highest relative humidity stage, the temperature of the humid flow was saturated at 299 K before being mixed with room temperature air from the monoterpene source.This resulted in a slightly higher temperature at the inlet of the flow tube, which could contribute to lower nucleation rates (Burkholder et al., 2007).Nevertheless, over the range of the first three humidity stages, up to 65 % RH, the gas temperature was constant before, during, and after the reaction.At the beginning of the experiments, the inner wall of the reactor was washed with ultra-pure water.All of the flow rates were calibrated before and during the experiments.

Transverse ionization chemical ionization mass spectrometer
A self-designed and home-built chemical ionization inlet, called the transverse ionization (TI) inlet (Figs. 2 and S1 in the Supplement), was used in front of the LTOF mass analyzer.The TI design is similar to those of the Ambientpressure Proton transfer Mass Spectrometer (AmPMS) (Hanson et al., 2011) and the cluster CIMS (Zhao et al., 2010).
In the TI inlet, a 4-10 L min −1 flow of sample air is passed across the inlet orifice of the mass spectrometer, where it encounters an orthogonal, 1 L min −1 reagent ion gas flow consisting of N 2 -containing ionized nitrate ions (NO − 3 ) as well as potential cluster ions (HNO 3 ) n NO − 3 with n = 1-3.For the current study, the sample flow to the inlet was set to 4.5 L min −1 .Chemical ionization occurs at atmospheric pressure and temperature.The reagent gas is generated by passing 3 ccm of N 2 over a small vial containing nitric acid, which is then ionized by a 370 MBq Po 210 radioactive source (model P-2021, NRD, LLC).An additional flow of N 2 can be added to the reagent gas to change the reagent ion concentration, and the assembly can be adjusted to vary ion-molecule reaction time.The latter can be controlled by adjusting the sample and reagent gas flow rates or by applying different voltages to the ionization source and the main inlet block.To minimize the diffusion loss in sample lines, the inlet of the TI source was connected to the flow tube outlet by a short (∼ 10 cm) piece of electro-polished stainless steel tubing.Compared to the widely used commercial nitrate inlet patterned according to the design by Eisele and Tanner (1993) and marketed by Aerodyne, Inc., no additional sheath flow is required; thus any impurities potentially introduced by the sheath flow are eliminated.Some flow disturbance may occur when the sample flow encounters the transverse reagent flow, which may lead to nonideal behavior.However, even at the maximum total flow of 11 L min −1 , the Reynolds number in this region is ∼ 500; thus turbulence is not expected to be significant.
Another unique aspect of the TI design is the use of an N 2 curtain gas in front of the inlet orifice to the mass spectrometer to reduce water clustering on reagent and sample ions.Water clusters are expected to form at high RH, mainly during the free-jet expansion of the sampled gas on the vacuum side of the orifice plate (Thomson and Iribarne, 1979).The presence of these clusters makes the identification and quantification of both sample and reagent ions challenging (Kulmala et al., 2014;Lee et al., 2014;Kürten et al., 2016;Figure 2. Schematic of the transverse ionization (TI) inlet, showing the N 2 curtain gas configuration.The relative position of the ion source to the inlet orifice is adjustable.The configuration shown here is the most sensitive in calibrations with H 2 SO 4 (see Sect. 3.1).Ehn et al., 2014).Figure 2 shows the details of the TI source that address this issue.Small holes drilled in a radial channel blow N 2 uniformly in front of the orifice plate so that only sampled ions and this clean N 2 gas pass into the vacuum chamber.Since the sampling flow rate of the mass spectrometer is ∼ 0.7 L min −1 when using the 0.3 mm orifice, the N 2 curtain flow is set to be 1 L min −1 to overflow the region surrounding the orifice.By applying voltages to the ion source and the block, the ions can be efficiently guided into the mass spectrometer while neutral molecules such as water vapor are prevented from entering by the N 2 curtain gas.
This TI inlet is suitable to all types of reagent ion chemistry, e.g., NO − 3 , I − , and H 3 O + .Nitrate ion chemistry was used as the reagent ion in these experiments, which is selective to highly oxidized molecules that have at least two hydroperoxy (-OOH) groups or some other H-bond-donating groups (Hyttinen et al., 2015).HOM monomers, HOM dimers, and highly oxidized RO 2 radicals can also be measured using nitrate ion chemistry.

Other measurements
Ozone concentrations were measured with two ozone analyzers (model 106L, 2B Technology) at the inlet and outlet of the flow tube.The sampling flow of each analyzer is 1 L min −1 .The two ozone analyzers were intercompared prior to the experiments and the difference was within 5 ppbv when [O 3 ] < 1000 ppbv.A Scanning Mobility Particle Sizer (SMPS), consisting of a Po210 bipolar neutralizer, a nanodifferential mobility analyzer (nano-DMA; model 3081, TSI, Inc.), and a condensation particle counter (MCPC; model 1720, Brechtel Manufacturing) were used to measure the number size distribution of particles, which is later used to deduce the total particle number and mass concentrations (the latter assumes a uniform density for organic particles of 1.2 g cm −3 ).The sampling flow rate of the MCPC was 0.3 L min −1 and the sheath and excess flows of the nano DMA were set to 3 L min −1 .The flow tube particle-number size distribution was measured without further drying to get a more accurate measure of the actual particle surface area and volume, which are important for HOM partitioning, and also to prevent particle evaporation during the measurements.

Experimental conditions
Three monoterpenes were used in our experiments (see Table 1), α-pinene, limonene, and 3 -carene.Oxidation by ozone is believed to dominate over other oxidation radicals (i.e., OH or NO 3 ) in forming SOA under atmospheric conditions (Atkinson and Arey, 2003).Ozonolysis of alkenes generates a substantial amount of OH, leading to products that are produced by a combination of O 3 and OH oxidation.For some experiments, in order to isolate oxidation by O 3 , cyclohexane (see Table 1 for mixing ratios) was premixed with the monoterpene and added to the flow tube as an OH scavenger.For other experiments, the combination of OH and O 3 chemistry was investigated to study atmospheric oxidation chemistry more representative of ambient air.The "high concentration" experiments were conducted with similar mixing ratios of monoterpene (∼ 1100 ppb) and O 3 (∼ 900 ppb).The "low concentration" experiments were conducted to study the particle-free chemical processes with initial concentrations of monoterpenes and O 3 shown in Table 1.Since wall losses should be comparable for different precursors as a function of RH, it was not taken into consideration in our analysis of HOM production.a At room temperature (298 K), the rate coefficients for limonene, α-pinene, and 3 -carene to react with O 3 were 200 × 10 −18 , 86.6 × 10 −18 , and 37 × 10 −18 cm 3 molecule −1 s −1 , respectively.b O 3 consumption values were calculated from the difference between inlet and outlet O 3 concentrations.c SOA mass concentrations were calculated from SMPS-measured volume concentrations and an assumed organic effective density (1.2 g cm −3 ).

HOM volatility predictions
The SIMPOL.1 method (Pankow and Asher, 2008) and the molecular corridor method (Li et al., 2016) were used to predict the saturation mass concentrations (C * ) of some of the detected OH-and O 3 -related HOMs.SIMPOL.1 is a group contribution method and requires information on molecular structure, while the molecular corridor method only requires the molecular formulae.Both methods are semi-empirical and based on volatility data from hundreds or thousands of compounds.The calculated volatilities were then applied to the two-dimensional volatility basis set (2D-VBS) (Donahue et al., 2012) to explore the likelihood that the products participate in the initial stages of nanoparticle growth.
3 Results and discussion

TI-CIMS performance
When comparing the TI inlet with the commercial nitrate inlet in measuring α-pinene ozonolysis products, both inlets produced identical mass spectra.The sensitivities of both inlets to H 2 SO 4 were determined using a home-built H 2 SO 4 calibration system (Fig. S2) based on the design of Kürten et al. (2012).Figure 3 summarizes the results of these calibrations.The position of the ion source assembly relative to the inlet orifice is critical for determining the sensitivity of the TI inlet.When the ion source is placed 0.5 cm upstream along the sample flow axis and 5 cm away from the inlet orifice along the reagent ion flow axis (configuration shown in Fig. 2), the instrument is at its most sensitive.The calibration factors, defined as and Tanner, 1993), for the TI in this position and the commercial inlet were 3.25 × 10 10 and 1.41 × 10 10 molecules cm −3 , respectively.The lower calibration factor for the TI inlet is attributed to the shorter reaction time (∼ 80 ms) compared to the commercial inlet (∼ 200 ms).We note that the reaction time of the TI inlet can be further increased by positioning the ion source assembly further upstream relative to the inlet orifice, which would require a slight modification of the current design.The total ion counts (TICs) of the TI inlet are more than 5 times higher than the commercial inlet, which we attribute to the more direct path of ions through the ion source as well as the use of a Po 210 radioactive source as compared to the soft Xray in the commercial nitrate inlet.The limit of detection for sulfuric acid, which is defined as 3 times the standard deviation of the background (Jokinen et al., 2012), is 9.3×10 4 and 1.26 × 10 5 molecules cm −3 for the TI and commercial inlets, respectively.
After applying the N 2 curtain gas flow, the TICs recorded by the TI-CIMS decreased significantly.This was compensated for by increasing the ion source and reaction chamber voltages that direct ions to the orifice (Fig. S3).When RH ≈ 90 %, the reagent ion mass spectrum was dominated by water clusters (H 2 O) m (HNO 3 ) n NO − 3 (m = 0-30, n = 0-2) if no N 2 curtain flow was applied (Fig. 4a).The reagent ions NO − 3 , HNO 3 NO − 3 , and (HNO 3 ) 2 NO − 3 decreased as RH increased, with [(HNO 3 ) 2 NO − 3 ] and [HNO 3 NO − 3 ] decreasing much faster than [NO − 3 ].In contrast, after 1 L min −1 N 2 curtain flow was applied to the inlet, most of the water clusters were removed (Fig. 4b).The reagent ions, sample ions, and TICs remained stable as RH increased, which resulted in a reliable measurement of HOM concentrations as a function of RH.The result that the N 2 curtain flow eliminated water clustering to a large extent confirms that most of the water clusters in the spectrum were produced during the free-jet expansion into vacuum instead of being formed in the ionmolecular reagent region.
Figure 3.Comparison of the sensitivities for the two inlets to H 2 SO 4 .The calibration process followed that reported by Kürten et al. (2012) and is discussed in detail in the Supplement.TI-1, 2, and 3 represent different locations of the ion source relative to the inlet orifice of the mass spectrometer."Upstream" and "downstream" indicate 0.5 cm upstream or downstream along the sample flow axis, and "3.5 cm" and "5 cm" indicate 3.5 or 5 cm away from the inlet orifice along the reagent ion flow axis.

Identification of HOM spectrum
Figure 5 shows the average mass spectra of the HOM dimers, and Fig. S4 shows the average mass spectra of the HOM monomers and RO 2 radicals for each of the six particle generation experiments.More than 400 peaks were identified in each spectrum, the majority of which were clusters with NO − 3 or HNO 3 NO − 3 .[H 2 SO 4 ], which arises from the oxidation of trace amounts of SO 2 in the zero air, was ∼ 10 5 molecules cm −3 and was always less than 3 % of the most abundant C 10 products, suggesting that sulfuric acid plays a negligible role in nucleation and cluster growth in our experiments.After subtracting the reagent ions (NO − 3 or HNO 3 NO − 3 ), molecular formulae for organics with an odd number of H atoms were assigned to radicals, which are generally difficult to detect experimentally (Rissanen et al., 2015), and formulae with an even number of H atoms were assigned to closed-shell molecules.Most of the HOM products from the three endocyclic monoterpenes were very similar, while the relative abundance of different HOMs was quite different, indicating similar reaction pathways but different branching ratios in the reaction mechanisms.The main products were C 5−10 H 6−16 O 3−10 for closed-shell monomers and RO 2 and C 15−20 H 22−34 O 6−18 for closed-shell dimers.Among these, C 10 and C 20 compounds were the most abundant.C 5−9 products could be formed from O 3 attack on the less reactive exocyclic carbon double bond or the decomposition of intermediate radicals.Some fragments were found to be unique for specific monoterpene precursors.For instance, C 5 H 6 O 7 (m/z 240) was much more abundant in α-pinene oxidation than for the other two precursors, which might be a tricarboxylic acid (Ehn et al., 2012).
Comparing total HOM abundance for the three monoterpene oxidation reactions, limonene created the most, followed by α-pinene and then 3 -carene.This is in qualitative agreement with prior studies (Jokinen et al., 2014;Ehn et al., 2014).The total dimer signal intensity was 15-30 % of monomers for all three monoterpenes.Experiments with an OH scavenger generated fewer HOMs than those without OH scavengers.
As observed in previous studies, C 10 H 15 O 6,8,10,12 and C 10 H 17 O 5,7,9,11 comprised the O 3 -and OH-related RO 2 , respectively (Jokinen et al., 2014).C 10 H 14 O 5,7,9,11 comprised the O 3 -related closed-shell monomers, while C 10 H 16 O 6,8,10,12 and C 10 H 18 O 6,7 comprised the OH-related closed-shell monomers (Ehn et al., 2014;Berndt et al., 2016).When comparing the average spectra with and without OH scavengers, no obvious differences were seen for OH-related RO 2 or monomers (Fig. S4).In contrast, for dimers we found that C 20 H 32 O 6−13 were more abundant in experiments without OH scavengers (Fig. 5).The formation of these dimers can be explained by the reaction of one OH-related RO 2 with one O 3 -derived RO 2 (see Sect. 3.5), and can therefore be considered as markers for combined OH and O 3 chemistry.As HOM dimers are generally less volatile than monomers with an identical O/C ratio, rapid production of dimers is believed to play a more important role in initial particle formation and growth (Zhang et al., 2015).

RH influence on HOM generation
Figure 6 shows a time series of experimental parameters, particle size distribution, and key ions from the limonene ozonolysis experiment with OH scavengers (Exp. 2 in Table 1).The O 3 inlet and outlet concentrations were approximately constant with increasing RH (Fig. 6a), indicating that RH did not significantly change O 3 levels in the flow tube.This also shows that the reactivity of the limonene with ozone does not change with RH.The number concentration of the generated particles decreased from 4.9 × 10 6 to 2.7 × 10 6 cm −3 with increasing RH, while the peak of the number size distribution increased slightly, due in part to water absorption.When RH was above 80 %, both the integrated number and mass concentrations, which were calculated from the number size distributions, decreased (Fig. 6b).
Despite the change in particle number and mass concentrations with RH, the concentration of all the main HOMs, including RO 2 , monomers, and dimers, did not change for both OH-and O 3 -derived products (Fig. 6c).In fact, the only signals in the mass spectra that changed with RH corresponded to increases associated with water clusters.The variations in HOM concentrations can be explained by the competition between production and condensational losses.As almost all of the detected HOMs are ELVOCs or LVOCs (see Sect. 3.6), they are not likely to partition back to the gas phase after they encounter a surface.The condensation sink (CS) and wall loss rate for a compound with a diffusion coefficient of 8.5 × 10 −6 m 2 s −1 (e.g., sulfuric acid) were estimated using established methods (Kürten et al., 2014;Crump and Seinfeld, 1981;Kulmala et al., 2001).The calculated CS varied between 0.1 and 3.5 s −1 in different SOA generation experiments, much larger than the wall loss rate (< 0.01 s −1 ).There was about 5 %-30 % variation in CS in each SOA generation experiment from RH of 3 % to 92 %.This amount of variation in CS does not seem to have a noticeable influence on the final concentration of HOMs.To further test the hypothesis that variations in condensation sink do not impact final HOM concentrations, particle-free experiments were performed, and, again, detected HOM concentrations did not change with RH (Fig. 7).

RH influence on SOA generation
Figure 8 shows the integrated SOA particle number and mass concentrations over the observed diameter range of 10-100 nm.The generated SOA particle number and mass concentrations for limonene (2.2-6.0 × 10 6 cm −3 for number concentrations and 470-1025 µg m −3 for mass concentrations) were ∼ 3-12 times greater than for 3 -carene (0.3-2.0×10 6 cm −3 for number concentrations and 56-86 µg m −3 for mass concentrations) and α-pinene (0.4-2.2 × 10 6 cm −3 for number concentrations and 61-130 µg m −3 for mass con-centrations).This is because the theoretical ozone reactivity of limonene is 3-5 times higher than the last two and molar yield from limonene ozonolysis is also the highest.Peaks in the particle-number size distributions were between 40 and 70 nm (Fig. S5).In most of the experiments, generated SOA mass concentrations increased or decreased slightly when RH increased from ∼ 0 % to ∼ 60 % and decreased as RH further increased to ∼ 90 %.The variability in particle mass concentration as a function of RH for different experiments can be attributed to the combined effects of gas-phase reactions, condensed phase reactions, and the physical uptake of water, as well as the re-evaporation of semi-volatile compounds from the wall.We cannot accurately quantify these effects.As a result, although the measured SOA mass concentration remained relatively constant, we cannot draw conclusions from this observation.In contrast, while particle number concentrations may also be affected by the factors mentioned above, they decreased by a factor of 2-3 with increasing RH.
A number of studies have demonstrated different water and OH influences on the ozonolysis products of exocyclic and endocyclic organic compounds.They have reported either suppressing (Bonn et al., 2002;Bonn and Moorgat, 2002) or promoting (Jonsson et al., 2006(Jonsson et al., , 2008) ) effects of water vapor on the particle formation processes during ozonolysis of monoterpenes by measuring the number size distributions of generated SOA particles with the SMPS.The discrepancies between different results could be attributed to the different experiment setups, e.g., monoterpene and O 3  concentration, temperature, RH range, OH scavengers, reaction time, and so on.Specifically, our results are in good agreement with those of Bonn et al. (2002), who studied SOA generation from the ozonolysis of endocyclic monoterpenes.In that study, SOA number concentrations decreased by a factor of 1.1-2.5 as RH increased, while the variation in volume concentrations was negligible (within ±10 %).They concluded that water's influence on non-volatile products, which are responsible for the initial steps of nucleation, was much larger than its influence on semi-volatile compounds which mainly determined the final volume concentrations of particles.Thus, it was highly suspected that water influenced new particle formation through influencing the generation of NPF precursors.However, our measurements indicate that at least the formation of the detected HOMs is independent of water vapor concentrations.There may be other species that are crucial to the initial steps of NPF and are affected by water vapor but are not detected by nitrate CIMS (see Sect. 3.5).Another possible explanation is that a fraction of HOMs cluster with water at high RH in such a way that they may no longer be able to participate in further cluster formation, thereby suppressing NPF.If the CIMS measurement only detected the declustered molecule, then such a mechanism may still be consistent with our observations.

Possible formation pathways of water-relevant C 10 and C 20 HOMs
Although the oxidation of BVOCs has been widely studied, it has mostly been constrained to the early stages (first-and second-generation intermediates), and many uncertainties still exist (Johnson and Marston, 2008;Isaacman-VanWertz et al., 2018;Atkinson and Arey, 2003).The first step of ozonolysis for the three BVOCs (α-pinene, 3 -carene, and X. Li et al.: Relative humidity effect on the formation of monoterpene HOMs limonene) is ozone attack on the endocyclic carbon double bond to form a primary ozonide.Figure 9 shows the O 3initiated oxidation pathways of α-pinene that may be related to the detected C 10 and C 20 HOMs for representative isomers.The primary ozonide rapidly transforms to two excited Criegee intermediates (eCIs), one of which (branching ratio = 0.4) (Kamens et al., 1999) is shown in Fig. 9.The reaction pathways of the eCI are complex; the most important two under ambient and most chamber conditions are the sCI channel (Reaction R1) and the hydroperoxide channel (Reaction R2) (Bonn et al., 2002).The sCI either reacts with aldehydes to form a secondary ozonide (SOZ; when the aldehyde is C 10 , then the formed SOZ is C 20 and is marked as sCI-C 10 ) or with water or other acidic compounds such as alcohols and carboxylic acids to form hydroxy-hydroperoxide, which then decomposes to carboxylic acids or aldehydes.For α-pinene, the main decomposition product is pinonic acid.In the hydroperoxide channel (Reaction R2), the formed hydroperoxide quickly decomposes to a first-generation alkyl radical (R) and OH (Johnson and Marston, 2008).R reacts with O 2 immediately to form the first-generation RO 2 , which can undergo numerous reactions, including reaction with HO 2 , R O 2 , and autoxidation.The reaction with HO 2 mainly forms hydroperoxides, with a small fraction forming hydroxyl-or carbonyl-containing compounds.When reacted with another R O 2 , either ROOR or an alkoxy radical (RO) or a carbonyl and a hydroxyl are formed.The RO can undergo isomerization, or form a carbonyl and HO 2 , for which the branching ratios are extremely difficult to evaluate.RO can also undergo decomposition, which is one of the pathways to form C 5 ∼ C 9 .The autoxidation process is key to HOM formation.Each autoxidation step adds two O atoms to the molecule and thus increases the oxidation state very rapidly.The competition between autoxidation processes and bimolecular reactions (RO 2 reactions with R O 2 or HO 2 ) determines the ultimate oxidation state of the products (Barsanti et al., 2017;Crounse et al., 2013;Rissanen et al., 2015).
OH can be generated in the ozonolysis of alkenes and the yield is near unity (Atkinson, 1997).The reaction of OH with α-pinene directly forms first-generation R and then RO 2 ; one possible structure for this RO 2 (branching ratio = 0.44), formed from OH addition to the double bond (Berndt et al., 2016), is shown in Fig. 9.However, the RO 2 formed (C 10 H 17 O 2m+1 ) are not the same RO 2 as those formed through ozonolysis (C 10 H 15 O 2n+2 ) (McVay et al., 2016).Accordingly, the structure and composition of C 10 and C 20 HOMs formed from OH or O 3 chemistry are different, and so too are their potential impacts on NPF.The combined OHand O 3 -derived dimers (C 10 H 32 O 2(m+n)+3 ), formed by collision of an OH-derived RO 2 with an O 3 -derived RO 2 , were only observed in ozonolysis experiments without OH scavengers.
The RO 2 autoxidation pathway explains most of the observed C 10 and C 20 compounds in the mass spectra.One exception to this is that C 10 H 18 O 2m+1 , C 10 H 18 O 2m , and C 20 H 34 O 2(m+m ) were not observed in the spectrum, whereas in experiments performed by Berndt et al. (2016) in which OH oxidation for α-pinene was studied, C 10 H 18 O 2m and C 20 H 34 O 2(m+m ) dominated the mass spectrum.This could be explained by a lower OH/O 3 ratio in our experiments, since unlike Berndt et al. (2016) we did not provide an extra source of OH to the flow tube.Also, Berndt et al. (2016) reported lower sensitivity of nitrate reagent ions to OH-related RO 2 compared to other reagent ions such as acetate.
Despite this close agreement achieved by the RO 2 autoxidation mechanism and the observed mass spectra in our study, prior studies suggest that other potential pathways cannot be excluded.An accretion product involving sCI is one possibility (Barsanti et al., 2017).It is possible that sCI reacts with long-chain carboxylic acids or carbonyls, such as those with 10 carbon atoms, forming in this instance anhydrides (sCI-C 10 ; Reaction R5) or secondary ozonides (sCI-C 10 ; Reaction R4) with vapor pressures lower than 10 −15 torr (Kamens et al., 1999;Tobias and Ziemann, 2001;Bonn et al., 2002).The formation of anhydride is more likely in the condensed phase, whereas there is also a possibility it can also happen in the gas phase (Kamens et al., 1999).However, it is unknown whether these sCI-C 10 can be detected using a nitrate CIMS as they may lack hydrogen bond donor moieties.The semi-volatile pinonic acid can also form HOMs after further oxidation by OH (Ehn et al., 2014), provided that excess α-pinene is not present to compete with pinonic acid for the generated OH.
Water vapor's influence on HOM formation can be direct or indirect.For monoterpene oxidation, the direct participation of water vapor is to react with sCI, favoring the formation of the hydroperoxide and its decomposition products (Reaction R3) over the secondary ozonides (sCI-C 10 ; Reaction R4) or possible anhydrides (sCI-C 10 ; Reaction R5).Since the formation of sCI-C 10 is more likely to contribute to NPF than the products from sCI and water vapor (Kamens et al., 1999;Tobias et al., 2000), a decrease in low-volatility sCI-C 10 with high RH could explain the decreasing SOA number concentrations in our experiment.It has been shown previously that OH yields from the reactions of O 3 with a series of monoterpenes were not affected by the presence of water vapor (Atkinson et al., 1992;Aschmann et al., 2002), which implies that the hydroperoxide channel (Reaction R2) is similarly unaffected by water.Since the detected HOMs in our experiments were RH-independent, we conclude that all the detected HOMs were formed from the hydroperoxide channel (Reaction R2) and not via the sCI channel (Reaction R1).Similarly, the detected HOMs were not likely to form through the hydration reaction (Reaction R6; Ehn et al., 2012), which is supposed to increase with increasing RH.
The indirect water effect on HOM formation includes the water influence on HO 2 fate.As water promotes HO 2 selfreaction (Reaction R7), reaction of HO 2 with RO 2 should decrease and the related HOM monomers should likewise decrease with increasing RH.However, as the formation of both HOM monomers and dimers was not affected by H 2 O, it was likely that water does not significantly increase HO 2 self-reaction or that HO 2 chemistry was not important in our experiments.

Volatility predictions
The volatility of the gas-phase products is one of the most important properties that determines whether a compound contributes to the formation, initial growth, or further growth of SOA particles (Donahue et al., 2012;Kroll et al., 2011).
As the products with identical elemental composition can be formed from different bimolecular reactions of the intermediate RO 2 , it is difficult to predict their exact structures.
For the current study, the number of different structural and functional groups (e.g., aromatic rings, aldehydes, ketones, hydroxyls, peroxides, hydro-peroxides) was estimated and used to derive saturation vapor pressure using SIMPOL.1 (Table S1 in the Supplement).To simplify the calculation, the functional groups used here were directly predicted from the proposed formation pathways in Fig. 10 and did not include intramolecular isomerization, although that may be important in some situations.For example, one of the ROOH can be replaced with an endoperoxide via ring closure of unsaturated RO 2 (Berndt et al., 2016).It has to be noted that the group contribution methods very likely underestimate the volatility of HOM products from α-pinene autoxidation products due to ignoring intramolecular H bonding (Kurtén et al., 2016).There may be large uncertainties in the SIMPOL method as well as in our functional group estimation process.As a comparison, the molecular corridor method (Li et al., 2016), which does not require information on functional groups, was used to estimate the saturation vapor pressure as well.The average carbon oxidation state (OS C ) was calculated with Eq. ( 3), in replacement of the commonly used formula (OS C = 2O : C − H : C), as the second oxygen atom in the (hydro)peroxide group does not increase the carbon oxidation state.In Eq. (3), n O , n C , and n H are the oxygen, carbon, and hydrogen numbers in the molecule; n (hydro)peroxide is the number of (hydro)peroxide groups in the molecule.

Conclusions
The RH influence on HOM formation and NPF during monoterpene oxidation was explored in this study.HOMs were detected with a TI-CIMS, using nitrate as reagent ions; C 10 and C 20 dominated the spectra.There are mainly three potential paths for water vapor influence on the formation of C 10 and C 20 HOMs.One is water reacting with sCI, thereby influencing the branching ratio between the formation of more volatile compounds decomposed from hydroxyl hydroperoxide, such as pinonic acid, and accretion products with sCI such as secondary ozonide (sCI-C 10 ) and anhydride (sCI-C 10 ).The second hypothesized water influence is on the HOMs formed from hydration reactions.The third is that water increases the rate of self-reaction of HO 2 , thus indirectly impacting the loss pathways of RO 2 .Our experimental results, both with high particle loading and particle-free conditions, demonstrated that neither the detected HOM species nor their signal abundance changed significantly with RH.This indicates that the detected HOMs, which can mostly be explained by RO 2 autoxidation, must be formed from waterindependent pathways rather than by those reactions mentioned above.One implication of this result is that HO 2 selfreaction was not significantly promoted by water or that the RO 2 reaction with HO 2 was not be significant in our system, but instead that RO 2 reacts with another peroxy radical, R O 2 , to generate both closed-shell monomers and dimers.Another implication is that the sCI pathway is not responsible for the generation of the detected HOMs, while the role of sCI-related HOMs' (SOZ or anhydride) formation by accretion with long-chain products, which may not be detected with nitrate CIMS, may be important in causing the decrease in SOA number concentrations with increased RH.Another possible explanation for the decreasing SOA number concentration is that water may cluster with HOMs and suppress NPF.
The detected HOMs, which could mostly be explained by autoxidation of RO 2 followed by reactions with R O 2 or HO 2 , were distinguished as OH-related, O 3 -related RO 2 , closed-shell HOM monomers, and HOM dimers.The volatility of the identified products was estimated with the SIM-POL.1 group contribution method and with the molecular corridor technique.That analysis confirmed that C 20 closedshell products have significantly lower volatility compared to C 10 products and are thus more likely to contribute to NPF.For the HOM products with identical OS C , OH-derived HOMs have lower volatilities than O 3 -derived HOMs due to a greater number of (hydro)peroxide groups.As a result, OH chemistry is suspected to be more likely to lead to NPF than O 3 chemistry, given the same level of oxidants and VOC precursors.

Figure 1 .
Figure 1.Experiment setup for the flow tube experiments.The 8.5 L flow tube was placed at a temperature-controlled room (21 ± 1 • C) and covered.The total flow rate was 8.5 L min −1 .The RH was adjusted by mixing temperature controlled bubbler flow with dry zero air.

Figure 4 .Figure 5 .Figure 6 .
Figure 4. Mass defect plots of α-pinene ozonolysis HOMs with 0 L min −1 (a) and 1 L min −1 (b) N 2 curtain gas flow when RH ≈ 85 %, with monomer and dimer HOMs circled in green.The most intense ions comprising 60 % of the total ion count are plotted for clarity.H 2 O clusters (H 2 O) m (HNO 3 ) n NO − 3 (m = 1-35, n = 0-2) are circled in red in (a) and are notably absent with the application of the N 2 curtain gas.(HNO 3 ) 2 NO − 3 and HNO 3 NO − 3 are much more likely to cluster with H 2 O than NO − 3 .

Figure 7 .
Figure 7. Average (a) monomer and (b) dimer HOMs signal intensity (ions s −1 ) as a function of RH in each experiment.Monomer signals were the sum of C 5−10 molecules, and dimer signals were the sum of C 15−20 molecules.No obvious signal change was seen for increasing RH in any of the experiments.

Figure 8 .
Figure 8. SOA (a) number and (b) mass concentrations as a function of RH during different experiments.The error bars were calculated using both the statistical errors of all individual size distributions during each RH stage and assuming a systematic CPC counting error of 10 %.

Figure 9 .
Figure 9. Proposed key steps in the formation of the representative C 10 and C 20 closed-shell products from α-pinene oxidation and possible water vapor influence.Dashed lines represent pathways that may or may not happen, depending on the situation.Pink and blue colors represent the pathways or products from O 3 and OH oxidation, respectively.Common pathways or products are indicated in black type.Orange colors represent the combined products of O 3 and OH chemistry.Red colors highlight the direct or indirect influence of water.Underlined formulae are the main products observed from the mass spectrum.C 10 H 18 O 2m and C 20 H 34 O 2(m+m ) were not observed in our spectrum, but they dominated the spectrum in other reported experiments in which extra OH was generated(Berndt et al., 2016).

Figure 10 .
Figure 10.Vapor saturation mass concentration C * (T = 298 K) of the major C 10 and C 20 closed-shell products were predicted with SIM-POL.1 (open points)(Pankow and Asher, 2008) and molecular corridor method (filled points)(Li et al., 2016).Lines connecting the open points and filled points represent the difference between the two methods.O 3 -or OH-derived monomers and dimers are shown by different shapes.The peak intensity, represented by color, is from Exp.1 (limonene oxidation without an OH scavenger).The gray points, which represent OH-derived dimers, are dominating products in OH-initiated oxidation experiments(Berndt et al., 2016) while not observed in this study.Data used in this figure are given in TableS1.The nucleation region (green dashed rectangle) is fromDonahue et al. (2013).
Figure 10 shows the predicted saturation mass concentrations (C * ) of the main C 10 and C 20 closed-shell products.The difference of C * predicted from the two methods was ∼ 1-4 orders of magnitudes.Despite these differences, most of the C 20 HOMs can be classified as ELVOCs, while C 10 products were mostly LVOCs.Typically, for those compounds with identical OS C , such as C 20 H 30 O 10 (O 3 -derived dimer, log 10 (C * ) = −2.74),C 20 H 32 O 11 (OH and O 3 combined dimer, log 10 (C * ) = −5.11),C 20 H 34 O 12 (OH-derived dimer, log 10 (C * ) = −7.41),and OH-derived HOMs, have

Table 1 .
Experiment conditions and products.