 Open Access Article
 Open Access Article
      
        
          
            Mihnea 
            Surdu‡
          
        
        
       a, 
      
        
          
            Veronika 
            Pospisilova‡§
a, 
      
        
          
            Veronika 
            Pospisilova‡§
          
        
        
       a, 
      
        
          
            Mao 
            Xiao
          
        
      a, 
      
        
          
            Mingyi 
            Wang
          
        
      b, 
      
        
          
            Bernhard 
            Mentler
          
        
      c, 
      
        
          
            Mario 
            Simon
          
        
      d, 
      
        
          
            Dominik 
            Stolzenburg
          
        
      eg, 
      
        
          
            Christopher R. 
            Hoyle
          
        
      af, 
      
        
          
            David M. 
            Bell
a, 
      
        
          
            Mao 
            Xiao
          
        
      a, 
      
        
          
            Mingyi 
            Wang
          
        
      b, 
      
        
          
            Bernhard 
            Mentler
          
        
      c, 
      
        
          
            Mario 
            Simon
          
        
      d, 
      
        
          
            Dominik 
            Stolzenburg
          
        
      eg, 
      
        
          
            Christopher R. 
            Hoyle
          
        
      af, 
      
        
          
            David M. 
            Bell
          
        
       a, 
      
        
          
            Chuan Ping 
            Lee
a, 
      
        
          
            Chuan Ping 
            Lee
          
        
       a, 
      
        
          
            Houssni 
            Lamkaddam
          
        
      a, 
      
        
          
            Felipe 
            Lopez-Hilfiker
          
        
      a, 
      
        
          
            Lauri R. 
            Ahonen
          
        
      g, 
      
        
          
            Antonio 
            Amorim
          
        
      h, 
      
        
          
            Andrea 
            Baccarini
a, 
      
        
          
            Houssni 
            Lamkaddam
          
        
      a, 
      
        
          
            Felipe 
            Lopez-Hilfiker
          
        
      a, 
      
        
          
            Lauri R. 
            Ahonen
          
        
      g, 
      
        
          
            Antonio 
            Amorim
          
        
      h, 
      
        
          
            Andrea 
            Baccarini
          
        
       ai, 
      
        
          
            Dexian 
            Chen
          
        
      b, 
      
        
          
            Lubna 
            Dada
          
        
      ag, 
      
        
          
            Jonathan 
            Duplissy
ai, 
      
        
          
            Dexian 
            Chen
          
        
      b, 
      
        
          
            Lubna 
            Dada
          
        
      ag, 
      
        
          
            Jonathan 
            Duplissy
          
        
       gj, 
      
        
          
            Henning 
            Finkenzeller
          
        
      k, 
      
        
          
            Xu-Cheng 
            He
          
        
      g, 
      
        
          
            Victoria 
            Hofbauer
          
        
      b, 
      
        
          
            Changhyuk 
            Kim
          
        
      lm, 
      
        
          
            Andreas 
            Kürten
          
        
      d, 
      
        
          
            Aleksandr 
            Kvashnin
          
        
      o, 
      
        
          
            Katrianne 
            Lehtipalo
          
        
      gp, 
      
        
          
            Vladimir 
            Makhmutov
          
        
      o, 
      
        
          
            Ugo 
            Molteni¶
          
        
        
      a, 
      
        
          
            Wei 
            Nie
          
        
      q, 
      
        
          
            Antti 
            Onnela
          
        
      n, 
      
        
          
            Tuukka 
            Petäjä
          
        
      g, 
      
        
          
            Lauriane L. J. 
            Quéléver
          
        
      g, 
      
        
          
            Christian 
            Tauber
          
        
      e, 
      
        
          
            António 
            Tomé
          
        
      r, 
      
        
          
            Robert 
            Wagner
          
        
      g, 
      
        
          
            Chao 
            Yan
          
        
      g, 
      
        
          
            Andre S. H. 
            Prevot
          
        
      a, 
      
        
          
            Josef 
            Dommen
          
        
      a, 
      
        
          
            Neil M. 
            Donahue
gj, 
      
        
          
            Henning 
            Finkenzeller
          
        
      k, 
      
        
          
            Xu-Cheng 
            He
          
        
      g, 
      
        
          
            Victoria 
            Hofbauer
          
        
      b, 
      
        
          
            Changhyuk 
            Kim
          
        
      lm, 
      
        
          
            Andreas 
            Kürten
          
        
      d, 
      
        
          
            Aleksandr 
            Kvashnin
          
        
      o, 
      
        
          
            Katrianne 
            Lehtipalo
          
        
      gp, 
      
        
          
            Vladimir 
            Makhmutov
          
        
      o, 
      
        
          
            Ugo 
            Molteni¶
          
        
        
      a, 
      
        
          
            Wei 
            Nie
          
        
      q, 
      
        
          
            Antti 
            Onnela
          
        
      n, 
      
        
          
            Tuukka 
            Petäjä
          
        
      g, 
      
        
          
            Lauriane L. J. 
            Quéléver
          
        
      g, 
      
        
          
            Christian 
            Tauber
          
        
      e, 
      
        
          
            António 
            Tomé
          
        
      r, 
      
        
          
            Robert 
            Wagner
          
        
      g, 
      
        
          
            Chao 
            Yan
          
        
      g, 
      
        
          
            Andre S. H. 
            Prevot
          
        
      a, 
      
        
          
            Josef 
            Dommen
          
        
      a, 
      
        
          
            Neil M. 
            Donahue
          
        
       b, 
      
        
          
            Armin 
            Hansel
          
        
      c, 
      
        
          
            Joachim 
            Curtius
          
        
      d, 
      
        
          
            Paul M. 
            Winkler
          
        
      e, 
      
        
          
            Markku 
            Kulmala
b, 
      
        
          
            Armin 
            Hansel
          
        
      c, 
      
        
          
            Joachim 
            Curtius
          
        
      d, 
      
        
          
            Paul M. 
            Winkler
          
        
      e, 
      
        
          
            Markku 
            Kulmala
          
        
       gj, 
      
        
          
            Rainer 
            Volkamer
          
        
      k, 
      
        
          
            Richard C. 
            Flagan
          
        
      l, 
      
        
          
            Jasper 
            Kirkby
          
        
      dn, 
      
        
          
            Douglas R. 
            Worsnop
          
        
      gs, 
      
        
          
            Jay G. 
            Slowik
          
        
      *a, 
      
        
          
            Dongyu S. 
            Wang
          
        
      *a, 
      
        
          
            Urs 
            Baltensperger
          
        
      a and 
      
        
          
            Imad el 
            Haddad
gj, 
      
        
          
            Rainer 
            Volkamer
          
        
      k, 
      
        
          
            Richard C. 
            Flagan
          
        
      l, 
      
        
          
            Jasper 
            Kirkby
          
        
      dn, 
      
        
          
            Douglas R. 
            Worsnop
          
        
      gs, 
      
        
          
            Jay G. 
            Slowik
          
        
      *a, 
      
        
          
            Dongyu S. 
            Wang
          
        
      *a, 
      
        
          
            Urs 
            Baltensperger
          
        
      a and 
      
        
          
            Imad el 
            Haddad
          
        
       *a
*a
      
aLaboratory of Atmospheric Chemistry, Paul Scherrer Institute, 5232 Villigen, Switzerland. E-mail: imad.el-haddad@psi.ch; dongyu.wang@psi.ch; jay.slowik@psi.ch
      
bCenter for Atmospheric Particle Studies, Carnegie Mellon University, 15213 Pittsburgh, PA, USA
      
cInstitute of Ion Physics and Applied Physics, University of Innsbruck, 6020 Innsbruck, Austria
      
dInstitute for Atmospheric and Environmental Sciences, Goethe University Frankfurt, 60438 Frankfurt am Main, Germany
      
eFaculty of Physics, University of Vienna, 1090 Vienna, Austria
      
fInstitute for Atmospheric and Climate Science, ETH Zurich, 8006 Zurich, Switzerland
      
gInstitute for Atmospheric and Earth System Research (INAR)/Physics, Faculty of Science, University of Helsinki, 00014 Helsinki, Finland
      
hCENTRA, FCUL, University of Lisbon, 1749-016 Lisbon, Portugal
      
iSchool of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
      
jHelsinki Institute of Physics, University of Helsinki, 00014 Helsinki, Finland
      
kDepartment of Chemistry, CIRES, University of Colorado Boulder, 80309 Boulder, CO, USA
      
lCalifornia Institute of Technology, Division of Chemistry and Chemical Engineering, 210-41, Pasadena, CA 91125, USA
      
mSchool of Civil and Environmental Engineering, Pusan National University, Busan 46241, Republic of Korea
      
nCERN, 1211 Geneva, Switzerland
      
oP. N. Lebedev Physical Institute of the Russian Academy of Sciences, Laboratory of Solar and Cosmic Ray Physics, 119991 Moscow, Russia
      
pFinnish Meteorological Institute, 00560 Helsinki, Finland
      
qJoint International Research Laboratory of Atmospheric and Earth System Research, School of Atmospheric Sciences, Nanjing University, Nanjing, China
      
rIDL-Universidade da Beira Interior, 6201-001 Covilhã, Portugal
      
sAerodyne Research, 01821 Billerica, MA, USA
    
First published on 23rd August 2021
Aerosol particles negatively affect human health while also having climatic relevance due to, for example, their ability to act as cloud condensation nuclei. Ultrafine particles (diameter Dp < 100 nm) typically comprise the largest fraction of the total number concentration, however, their chemical characterization is difficult because of their low mass. Using an extractive electrospray time-of-flight mass spectrometer (EESI-TOF), we characterize the molecular composition of freshly nucleated particles from naphthalene and β-caryophyllene oxidation products at the CLOUD chamber at CERN. We perform a detailed intercomparison of the organic aerosol chemical composition measured by the EESI-TOF and an iodide adduct chemical ionization mass spectrometer equipped with a filter inlet for gases and aerosols (FIGAERO-I-CIMS). We also use an aerosol growth model based on the condensation of organic vapors to show that the chemical composition measured by the EESI-TOF is consistent with the expected condensed oxidation products. This agreement could be further improved by constraining the EESI-TOF compound-specific sensitivity or considering condensed-phase processes. Our results show that the EESI-TOF can obtain the chemical composition of particles as small as 20 nm in diameter with mass loadings as low as hundreds of ng m−3 in real time. This was until now difficult to achieve, as other online instruments are often limited by size cutoffs, ionization/thermal fragmentation and/or semi-continuous sampling. Using real-time simultaneous gas- and particle-phase data, we discuss the condensation of naphthalene oxidation products on a molecular level.
While a variety of chemical ionization mass spectrometry (CIMS) techniques have been able to provide real time measurement of gas phase composition, no comparable techniques were available for real time particle-phase measurements until recently. For example, CIMS-based techniques used for atmospherically relevant mass concentrations (detection limits of ng m−3), such as the Filter Inlet for Gases and Aerosols (FIGAERO),8 Thermal Desorption Chemical Ionization mass spectrometer (TDCIMS),9 or Thermal Desorption Differential Mobility Analyzer (TD-DMA)10 require separate collection and analysis stages and are thus “quasi” real time. However, considering the sample collection time (>600 s), the time resolution of such techniques is a limitation for the identification of species responsible for the early stages of particle growth, as well as the detection of rapid intra-particle processes. Since they are based on thermal desorption, for these techniques thermal decomposition can also play a role, biasing measurements and complicating molecular identification. Nevertheless, they may provide additional physiochemical information such as aerosol volatility or size-resolved aerosol composition. Instruments like the Aerosol Mass Spectrometer (AMS) trade off the ability to be quantitative for extensive thermal and ionization-induced fragmentation due to high vaporisation temperature (600 °C) and the use of electron ionization (70 eV).11 The AMS cut-off size of ∼60 nm also hinders its ability to characterize ultrafine particles. Additionally, the CHARON-PTR (“chemical analysis of aerosol online” inlet coupled to a proton transfer reaction time-of-flight mass spectrometer)12 and the AeroFAPA-MS (aerosol flowing atmospheric-pressure afterglow mass spectrometer)13,14 have been developed to provide online particle-phase measurements without the need for separate collection and analysis stages. Although these instruments have sufficiently low detection limits for atmospheric measurements, they are limited by cut-off size drawbacks (>100 nm) and ionization induced fragmentation for the CHARON-PTR and competing ionization pathways for the AeroFAPA-MS, leading to complicated spectral interpretation.
In response to these limitations, the extractive electrospray ionization time-of-flight mass spectrometer (EESI-TOF)15 has been recently developed, providing online molecular-level chemical identification of OA at detection limits of several ng m−3, with minimal thermal and ionization-induced fragmentation. The EESI technique has been further advanced to allow for online tandem mass spectrometry (coupled to an Orbitrap mass analyser) and the characterization of water-soluble metals.16,17 The real-time capability of the EESI-TOF has enabled measurement of gas-to-particle partitioning in chamber studies and provided evidence of condensed-phase reactions.7,18
In this work, we used the EESI-TOF to study in real time the molecular composition of freshly nucleated particles from the oxidation of naphthalene or β-caryophyllene in the Cosmic Leaving OUtdoor Droplets (CLOUD) chamber at the European Organization for Nuclear Research (CERN). We determined the size and mass detection limits of the EESI-TOF and present a detailed intercomparison of the chemical composition measured with the EESI-TOF and FIGAERO-CIMS. Furthermore, we show that the measured particle composition is largely consistent with the condensation of the measured organic vapours as described by an aerosol growth model. Overall, we demonstrate that the EESI-TOF is well suited to study the composition of nanoparticles during their early growth.
![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 21. This makes it possible to investigate aerosol nucleation and growth in a nearly contamination-free environment.21 Relative humidity was controlled by flowing a fraction of the air through a Nafion® humidifier using ultrapure water (18 MΩ cm, Millipore Corporation). Two Teflon-vaned fans were mounted to the floor and ceiling of the chamber to ensure quick gas-phase mixing. The CLOUD chamber was operated in continuous flow mode. During typical experiments, a large suite of instrumentation is connected to the chamber to characterize gas- and/or particle-phase compounds spanning over wide volatility and/or size ranges. Gas-phase monitors measure the gas phase concentrations of O3 (Thermo Environmental Instruments TEI 49C), SO2 (Thermo Fisher Scientific Inc. 42i-TLE), NO (ECO 485 Physics, CLD 780TR) and NO2 (CAPS NO2, Aerodyne Research Inc.). A commercial nano SMPS (TSI 3938) with a water CPC (TSI 3788) measures the dry aerosol size distribution from 4.6 nm to 60 nm. A home-built scanning mobility particle sizer (SMPS) with a differential mobility analyser (DMA) and a condensation particle counter (CPC, TSI 3010) measures the aerosol size distribution from 20 nm to 400 nm.
21. This makes it possible to investigate aerosol nucleation and growth in a nearly contamination-free environment.21 Relative humidity was controlled by flowing a fraction of the air through a Nafion® humidifier using ultrapure water (18 MΩ cm, Millipore Corporation). Two Teflon-vaned fans were mounted to the floor and ceiling of the chamber to ensure quick gas-phase mixing. The CLOUD chamber was operated in continuous flow mode. During typical experiments, a large suite of instrumentation is connected to the chamber to characterize gas- and/or particle-phase compounds spanning over wide volatility and/or size ranges. Gas-phase monitors measure the gas phase concentrations of O3 (Thermo Environmental Instruments TEI 49C), SO2 (Thermo Fisher Scientific Inc. 42i-TLE), NO (ECO 485 Physics, CLD 780TR) and NO2 (CAPS NO2, Aerodyne Research Inc.). A commercial nano SMPS (TSI 3938) with a water CPC (TSI 3788) measures the dry aerosol size distribution from 4.6 nm to 60 nm. A home-built scanning mobility particle sizer (SMPS) with a differential mobility analyser (DMA) and a condensation particle counter (CPC, TSI 3010) measures the aerosol size distribution from 20 nm to 400 nm.
      
      
        
        The EESI-TOF signal was converted to mass flux reaching the detector (in ag s−1), by scaling with the molecular weight of each molecule i, MWi, as follows:
|  | (1) | 
![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 was used for ion separation and detection. The organic analytes were detected predominantly in the form of iodide adducts [M + I]− (>95% relative abundance).
000 was used for ion separation and detection. The organic analytes were detected predominantly in the form of iodide adducts [M + I]− (>95% relative abundance).
      
      
        
        |  | (2) | 
 is the saturation vapour concentration at 300 K in μg m−3; nC is the number of carbon atoms of the molecule, n0C = 25 based on the reference carbon number of pure hydrocarbons with C* = 1 μg m−3. On average, each carbon addition decreases
 is the saturation vapour concentration at 300 K in μg m−3; nC is the number of carbon atoms of the molecule, n0C = 25 based on the reference carbon number of pure hydrocarbons with C* = 1 μg m−3. On average, each carbon addition decreases  by bC = 0.48. Additionally, functional groups decrease
 by bC = 0.48. Additionally, functional groups decrease  and are parameterized in the formula by the effective oxygen number (nO). A nitrate group (–ONO2) normally reduces
 and are parameterized in the formula by the effective oxygen number (nO). A nitrate group (–ONO2) normally reduces  by 2.5, so for simplicity the nitrate group was counted as –OH. Therefore, the effective oxygen number nO was calculated as the oxygen number subtracted by twice the nitrogen number. For SOA originated from naphthalene oxidation, bO = 1.72 is applied based on FIGAERO measurements.25
 by 2.5, so for simplicity the nitrate group was counted as –OH. Therefore, the effective oxygen number nO was calculated as the oxygen number subtracted by twice the nitrogen number. For SOA originated from naphthalene oxidation, bO = 1.72 is applied based on FIGAERO measurements.25
      
      
        
        Using the measured gas-phase concentrations grouped into volatility bins, the particle-phase is modelled similar to the works of Stolzenburg et al. (2018) and Tröstl et al. (2016) as follows.28,29 The driving force of gas to particle partitioning of each VBS bin is described as:
| Fi = Cg,i − Ceq,i | (3) | 
 , where χi is the activity. Assuming that the particle phase is an ideal solution, it follows that χi = Cp,i/Cp,tot, which is the ratio of the particle mass in the ith bin (Cp,i) to the total particle mass (Cp,tot). Sulphuric acid was allowed to condense at the kinetic limit in the growth model.
, where χi is the activity. Assuming that the particle phase is an ideal solution, it follows that χi = Cp,i/Cp,tot, which is the ratio of the particle mass in the ith bin (Cp,i) to the total particle mass (Cp,tot). Sulphuric acid was allowed to condense at the kinetic limit in the growth model.
        The gas to particle condensation flux can be described as:
| ϕi = KiFi | (4) | 
As we only model growth for aerosols with a diameter above 6 nm and thus ignore the Kelvin effect, the condensation rate Ki is approximated by the condensation sink of the aerosol population:
| Ki = ∑2πβDNpDp | (5) | 
 is the correction factor for non-continuum dynamics; Kn is the Knudsen number; D is the diffusion coefficient of the gas molecule, estimated experimentally by Reid et al. (1987);30Np is the number concentration of particles at diameter Dp.
 is the correction factor for non-continuum dynamics; Kn is the Knudsen number; D is the diffusion coefficient of the gas molecule, estimated experimentally by Reid et al. (1987);30Np is the number concentration of particles at diameter Dp.
        Therefore, the volume growth of aerosol can be described as:
|  | (6) | 
We obtained the growth of aerosol particles in volume by solving the equations describing the gas-to-particle partitioning process.
| Experiment number | Precursor | Precursor mixing ratio (ppbV) | T (°C) | RH (%) | Peak OA mass (approx.) (ng m−3) | NOx (ppbV) | Ozone (ppbV) | SO2 (ppbV) | NH3 (ppbV) | 
|---|---|---|---|---|---|---|---|---|---|
| 1 | Naphthalene | 10 | 20 | 80 | 800 | 5 | 40 | 1 | 1.2 | 
| 2 | Naphthalene | 2.8 | 20 | 60 | 600 | 0 | 40 | 1 | 1.2 | 
| 3 | β-Caryophyllene | 0.4 | 5 | 40 | 400 | 0 | 40 | 0 | 0 | 
During this experiment, naphthalene oxidation product monomers (nC = 8, 9, 10, red) and dimers (nC = 20, blue) are observed by the EESI-TOF, shown in Fig. 1b, as the SOA mass concentration increases to ∼800 ng m−3. As shown in Fig. 1c, while EESI-TOF and FIGAERO-CIMS show good agreement in the general trend of naphthalene oxidation products, as exemplified by C10H10O5,7, the EESI-TOF is able to provide a more time-resolved description. In total, for this experiment we identified 125 ions (96 monomers and 29 dimers) out of which 33 were nitrogen-containing (27 monomers and 6 dimers) using the EESI-TOF, as well as 168 ions (120 monomers and 48 dimers) out of which 63 nitrogen-containing (47 monomers and 21 dimers) using the FIGAERO-CIMS. For experiment 1, 33 identical ions were detected by the EESI-TOF and FIGAERO-CIMS. The correlation of the trend of these common ions is given in Fig. S2.† Overall, the intensity of the common ions accounts for 46% of the total EESI-TOF intensity and 36% of the total FIGAERO-CIMS intensity (at maximum aerosol mass). A full mass spectrum of the identified ions, for 5 minutes at the period of maximum aerosol mass from experiment 1, is given in Fig. 1d. The particle-phase composition as measured by the EESI-TOF is consistent with the compounds found in the gas phase from the Nitrate-CIMS (Fig. S3†), as well as previous work on gas-phase naphthalene oxidation products.33,34
Additionally, the corresponding online measurements of the molecular composition of freshly nucleated SOA from naphthalene and β-caryophyllene, both in the absence of NOx (experiments 2 and 3) are shown in Fig. S4 and S5,† respectively. We observe excellent correlations (R2 > 0.93) between the mass detected by the EESI and the bulk SOA mass determined from the SMPS for all experiments (Fig. S6†). The calibration factor varies between experiments as it is dependent on both instrumental settings as well the SOA composition.
The intercomparison of EESI-TOF and FIGAERO-CIMS in Fig. 2 shows significant overlap, adding confidence to the molecular speciation of the organic aerosol responsible for nucleation and early growth of nanoparticles. Both instruments indicate that C9–10 compounds with 8 or less oxygen atoms dominate the particle phase spectra. In the EESI-TOF, C11 compounds only account for 1–2% of the total, suggesting that reactions between methanol in the electrospray solution and C10 compounds (yielding acetals/hemiacetals from carbonyls)22 are negligible. This is also consistent with the good agreement between EESI-TOF and FIGAERO-CIMS in terms of carbon number distribution in the monomer region, where the FIGAERO-CIMS is not affected by such reactions. We also observe good agreement in the oxygen distribution measured by the EESI-TOF and FIGAERO-CIMS, particularly for C10 compounds. In addition, both instruments observe smaller compounds (C5–8). Many of these, e.g. C5–8H6–14O3–9, are also present in the gas-phase as measured by PTR3 and/or nitrate-CIMS. It is possible that these are authentic naphthalene oxidation products or fragmentation artefacts, given their relatively high volatility. Whereas the FIGAERO-CIMS (equipped with an LTOF) reported C16–20 dimers, we preferentially assigned the EESI-TOF peaks in the dimer region (m/z > 300) to C20 compounds, given the lower mass resolution of the HTOF mass analyzer coupled to the EESI.
Overall, the signal corresponding to dimers is higher in the EESI-TOF than the FIGAERO-CIMS (13% of the total particle-phase signal, Fig. 2c, compared to 2% for the FIGAERO-CIMS, Fig. 2d). This could be due to several reasons. First, it is possible that the FIGAERO-CIMS suffers from thermal decomposition fragmentation28,35,36 of these (extremely) low-volatility compounds due to the higher temperature needed to desorb them from the filter. This possibility would agree with the observation that less oxygenated compounds (O1–O3) are more abundant in the FIGAERO-CIMS spectra, which could correspond to the fragments as they are unlikely to condense. Here we have not performed a thermogram analysis to identify and correct for any possible thermal decomposition artefacts. Moreover, [2M + Na]+ clusters could also form during ionization in the EESI-TOF, elevating the observed dimer fraction. As these clusters are typically minor (0.1–1% of [M + Na]+) and difficult to distinguish from authentic dimers without the use of a declustering scan, we did not attempt to correct for this potential artefact. Finally, this inconsistency could also arise from other instrumental differences such as differing compound-specific sensitivity, mass transmission, different ionization mechanisms, and more.
Another discrepancy in the SOA composition measured by the two instruments is the lower fraction of nitrogen-containing species observed in the EESI-TOF (16% compared to 26% in the FIGAERO-CIMS). Also, despite the lower dimer fraction measured by the FIGAERO-CIMS, a higher number of nitrogen-containing dimers (24) was detected, compared to 6 in the EESI-TOF. Many of these nitrogen-containing species have low intensities and we assume that a large fraction of these species fall below the detection limits of the EESI-TOF. Further, it has been shown that hydroxynitrates can lose HNO3 during the ionization process in the EESI-TOF,18 leading to their classification as non-nitrogenated compounds, though it is not clear how nitrogen containing functional groups would behave in aromatic systems. Regardless, dimers containing nitrogen contribute less than 1% to the total aerosol signal in both instruments and as such do not affect the main findings from the studied system.
Fig. S7† shows the chemical composition for naphthalene SOA without the addition of NOx (experiment 2), from both the EESI-TOF and the FIGAERO-CIMS. As expected, nitrogen-containing species are almost completely absent in the experiment without NOx, with only minor peaks detected, most likely due to the high background level of those ions from previous experiments. Additionally, NOx also appear to suppress dimers in the particle phase: a considerably smaller dimer fraction is measured in the presence of NOx by both the EESI-TOF (14% with NOx, 21% without) and FIGAERO-CIMS (2% with NOx, 4% without). This is consistent with previous studies showing a reduction of the dimer fraction by NOx in the gas-phase and consequently in the particle phase for both biogenic and anthropogenic SOA.25,37
For the β-caryophyllene system (Fig. S8†), the two instruments also show a good agreement, with C15 compounds making up the bulk of the detected ions. Similar to the naphthalene system, smaller compounds are also detected in both the EESI-TOF and the FIGAERO-CIMS. Both instruments agree that the dimer fraction is lower for the β-caryophyllene system as compared to the naphthalene system. It is possible that the relative dimer fraction will be smaller for β-caryophyllene as monomers are able to partition to the particle phase to a greater extent. This is because of the higher carbon number for β-caryophyllene (C15) compared to naphthalene (C10) and thus lower volatility (despite lower O![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C ratio). It is also possible that RO2 radicals with less functionalization (lower O
C ratio). It is also possible that RO2 radicals with less functionalization (lower O![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C ratio) of β-caryophyllene could have lower accretion reaction rates than the more functionalized (higher O
C ratio) of β-caryophyllene could have lower accretion reaction rates than the more functionalized (higher O![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C) RO2 from naphthalene. This observation would agree with the previous study of Berndt et al. (2017).38
C) RO2 from naphthalene. This observation would agree with the previous study of Berndt et al. (2017).38
Quantitatively, a good agreement is also observed between the intensities of the ion signals (at maximum aerosol mass) in the EESI-TOF and the FIGAERO-CIMS. For the compounds that were detected by both instruments in experiment 1, this relationship is shown in Fig. S9.† While the sensitivity towards different compounds in both instruments is expected to vary slightly, the respective detected intensities for any species are always within an order of magnitude, suggesting good general agreement. Overall, there appears to be considerable overlap in the chemical composition of the SOA measured by both instruments for the SOA investigated here.
Estimated detection limits for the main ions observed by the EESI-TOF in the naphthalene and β-caryophyllene SOA systems are shown in Fig. 3a, on an ion-by-ion basis as a function of m/z. The LOD for all detected ions is less than 10 ng m−3, with similar detection limits for naphthalene and β-caryophyllene SOA. Lower m/z compounds appear to have higher detection limits than larger, less volatile compounds such as dimers. As the signals determined by the EESI-TOF are calculated by subtracting the periodic filter blanks, the ion-specific background during these filter blank periods is crucial for accurate signal determination. During the filter measurement period, semi-volatile compounds adsorbed to the inlet walls may repartition back to the gas phase, causing an elevated background compared to the low-volatility compounds, which would result in a lower signal reported than expected. Another possibility for the increased background in the filter period is gas breakthrough in the denuder. Although the charcoal denuder is >99% efficient in removing the gas phase,15 the EESI-TOF has a much higher sensitivity for the gas-phase than the particle-phase,39 meaning that even a relatively small amount of gas breakthrough could elevate the background of the filter period. Some ions show a small step change in the background levels as gas-phase concentrations increased, suggesting that at least some ions are affected by gas-phase breakthrough. However, as particle growth follows immediately after the increase in gas-phase concentrations, it is difficult to differentiate between the effects of vapor–wall interactions and denuder breakthrough.
We characterize the detection limits of the EESI-TOF as a function of particle size in order to assess its ability to study freshly nucleated particles (Fig. 3b). The EESI-TOF followed the evolution of the particle size distribution during experiment 1, therefore detecting different particle sizes at different times. The signal-to-noise ratio (SNR) was calculated as the ratio of the signal to the noise as follows; similar to the LOD calculation, a two-minute filter blank period during the experiment was chosen as the background level. The signal was defined as a continuous time series of the background-corrected ion intensity observed by the EESI-TOF while the noise was defined as:
As in our previous study,26 we observe an excellent agreement between the modelled particle mass and the actual particle mass as measured by the SMPS (Fig. S10†). In Fig. 4, we compare the observed and predicted organic mass fractions. Modelled particle-phase sulphate mass is subtracted from the measured particle mass concentration (by the SMPS) for comparison with the EESI-TOF, since condensed-phase sulphate species undergo Na+ exchange during the EESI-TOF ionization process, forming [Na2SO4 + Na]+ instead of simple Na adducts (e.g. [H2SO4 + Na]+), and was therefore not included in the quantitative chemical composition analysis. We also obtain a good overall agreement between the predicted particle-phase composition from the condensation of gas-phase species and the measured particle-phase composition from the EESI-TOF. For comparison, EESI-TOF signals were converted to estimated mass by calibrating the mass flux reaching the detector of the EESI-TOF against the total organic mass, therefore assuming uniform sensitivity for all measured components.
Since the aerosol growth model is strongly dependent on the estimated volatilities of the gas-phase oxidation products, we explored a range of parametrizations from previous studies (Fig. S11†).25,27,28 The original Donahue et al. (2011)27 VBS parametrization, developed before the role of autoxidation in SOA was appropriately appreciated, attributes oxygen atoms to ![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) O and –OH functional groups, which decreases the saturation vapor pressure more than –OOH. This leads to an underestimation of volatility when autoxidation predominates the organic oxidation mechanism, and therefore results in an overestimation of the ELVOC and LVOC fractions. Stolzenburg et al. (2018)28 adapted the parametrization to include the increased fraction of hydroperoxide (–OOH) products from autoxidation as well as covalently-bound dimers, both commonly found in α-pinene SOA. Wang et al. (2020)25 used direct FIGAERO measurements of volatility to demonstrate that both parametrizations are valid, depending on the relevant chemistry: aromatics such as naphthalene lie close to the original parametrization, whereas biogenics such as terpenes lie close to the “autoxidation” parametrization. However, in each case the direct measurements provide an updated, directly measured, parametrization. The sensitivity of aerosol growth model results to volatility parametrization methods is shown in Fig. S12.† Note that the parametrization of Wang et al. (2020)25 is based on FIGAERO volatility measurements for this particular naphthalene SOA system, so this is the most relevant parametrization for this case and is used for the growth model unless specified otherwise.
O and –OH functional groups, which decreases the saturation vapor pressure more than –OOH. This leads to an underestimation of volatility when autoxidation predominates the organic oxidation mechanism, and therefore results in an overestimation of the ELVOC and LVOC fractions. Stolzenburg et al. (2018)28 adapted the parametrization to include the increased fraction of hydroperoxide (–OOH) products from autoxidation as well as covalently-bound dimers, both commonly found in α-pinene SOA. Wang et al. (2020)25 used direct FIGAERO measurements of volatility to demonstrate that both parametrizations are valid, depending on the relevant chemistry: aromatics such as naphthalene lie close to the original parametrization, whereas biogenics such as terpenes lie close to the “autoxidation” parametrization. However, in each case the direct measurements provide an updated, directly measured, parametrization. The sensitivity of aerosol growth model results to volatility parametrization methods is shown in Fig. S12.† Note that the parametrization of Wang et al. (2020)25 is based on FIGAERO volatility measurements for this particular naphthalene SOA system, so this is the most relevant parametrization for this case and is used for the growth model unless specified otherwise.
          Fig. 5a shows a quantitative comparison of the different volatility classes from the growth model and measured by the EESI-TOF. The modelled results show that initial growth (before 08:15 AM) is dominated by ELVOCs (Fig. 5b). As some of the detected compounds are still under the detection limit of the EESI-TOF at the lowest mass concentrations, the EESI-TOF data is only shown for mass concentrations greater than ∼50 ng m−3. Both the modelled and measured results consistently show that the contribution from more volatile compounds such as LVOCs and SVOCs becomes more significant as particle mass increases (Fig. 5b), with LVOCs being the most abundant compound class for this experiment. A good agreement between the modelled and measured LVOC and SVOC fractions is seen, however, ELVOCs seem to be more abundant in the EESI-TOF data than we would expect from the condensation of the gas-phase. One explanation for the discrepancy of the ELVOC fraction could be due to the assumption of uniform sensitivity in the EESI-TOF when converting signals to estimated mass concentrations, which may be too simplistic. The EESI-TOF sensitivity has been shown31 to increase with increasing molecular weight and oxygen content (e.g. nCnO/(nC + nO)), and therefore inversely correlate with log![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C* (i.e. higher sensitivity for lower volatility compounds). Finally, we cannot rule out the possibility of condensed-phase reactions taking place which have not been considered in the aerosol growth model. The SOA composition has previously been observed to change after condensation;6,7 in particular, accretion reactions (e.g. C7–10 + C7–10 => C14–20)40 would lead to an increase in the ELVOC fraction observed by the EESI which had not been taken into account in the model. However, due to the relatively short timescale of the experiment as well as the fact that all of the particle-phase compound concentrations appear to increase simultaneously in the EESI-TOF as the gas phase oxidation product concentrations increased, we are not able to distinguish such condensed-phase processes here. Interestingly, in the measured EESI-TOF data we also observe a small IVOC fraction that is not predicted by the growth model, which may be caused by gas-phase compounds breaking through the denuder – as the particle mass increases the relative contribution of this fraction decreases as the gas-phase source is rather constant. We note that although the denuder is highly efficient at removing the gas phase (>99%),15 even a small amount of gas-phase breakthrough could be observed as the EESI-TOF is highly sensitive to gaseous compounds.39 Nevertheless, overall our observations are consistent with the previous work of Tröstl et al. (2016)29 which shows increasing contribution of higher volatility organics with increasing particle mass/size.
C* (i.e. higher sensitivity for lower volatility compounds). Finally, we cannot rule out the possibility of condensed-phase reactions taking place which have not been considered in the aerosol growth model. The SOA composition has previously been observed to change after condensation;6,7 in particular, accretion reactions (e.g. C7–10 + C7–10 => C14–20)40 would lead to an increase in the ELVOC fraction observed by the EESI which had not been taken into account in the model. However, due to the relatively short timescale of the experiment as well as the fact that all of the particle-phase compound concentrations appear to increase simultaneously in the EESI-TOF as the gas phase oxidation product concentrations increased, we are not able to distinguish such condensed-phase processes here. Interestingly, in the measured EESI-TOF data we also observe a small IVOC fraction that is not predicted by the growth model, which may be caused by gas-phase compounds breaking through the denuder – as the particle mass increases the relative contribution of this fraction decreases as the gas-phase source is rather constant. We note that although the denuder is highly efficient at removing the gas phase (>99%),15 even a small amount of gas-phase breakthrough could be observed as the EESI-TOF is highly sensitive to gaseous compounds.39 Nevertheless, overall our observations are consistent with the previous work of Tröstl et al. (2016)29 which shows increasing contribution of higher volatility organics with increasing particle mass/size.
Fig. 6 shows a more detailed comparison between the particle phase composition measured by the EESI-TOF, the predicted particle phase composition from the aerosol growth model and the gas phase measured by the PTR3 and the nitrate-CIMS. Since the condensation was modelled on a volatility-bin basis rather than compound-by-compound, the ratio of compounds corresponding to each bin in the condensed phase was assumed to be the same as in the gas phase. This was then multiplied by each integrated bin concentration to estimate the concentrations of each chemical species. Both the measured and modelled particle-phases are evidently less volatile and have higher average carbon oxidation state (OSC, calculated as 2 × O/C – H/C) than the gas phase. When comparing the ultra-low volatility compounds (ULVOC) and ELVOC compounds where there were differences between the EESI-TOF data and the expected condensation of the gas-phase oxidation products, we observe that the modelled abundance of these compounds lies in between the observations from the FIGAERO-CIMS and EESI-TOF (Fig. S13†). As discussed before, the discrepancies may be due to compound-specific sensitivity differences between the instruments and potential thermal decomposition in the FIGAERO-CIMS.
At the molecular level, Fig. 6 shows that some ULVOCs with log10![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C* values less than −17 are noticeably absent in the EESI-TOF data. These highly oxygenated compounds (nO > 10) are only present at very low concentrations which are most likely under the detection limit of the EESI-TOF. Modelled and measured time series of such highly oxygenated dimer molecules are shown in Fig. S14.† The more volatile compounds in the EESI-TOF log
C* values less than −17 are noticeably absent in the EESI-TOF data. These highly oxygenated compounds (nO > 10) are only present at very low concentrations which are most likely under the detection limit of the EESI-TOF. Modelled and measured time series of such highly oxygenated dimer molecules are shown in Fig. S14.† The more volatile compounds in the EESI-TOF log![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C* = 2–4 bins (see also Fig. S13†), which we may expect in the particle phase in lower amounts given the model results and the low OA mass (∼800 ng m−3), correspond mainly to C10HxO3–4N0–1 (Fig. S14†). While we do not exclude that denuder breakthrough or ionization-induced fragmentation artefacts could contribute to these signals, a change in their estimated volatility would also result in a large change in their expected particle phase contribution. Fig. S15† exemplifies the change in their partitioning coefficient, calculated as the modelled growth normalized to growth at the kinetic limit, when adjusting the estimated volatility by 1–2 orders of magnitude. Roughly speaking, an order of magnitude change in estimated C* would result in an order of magnitude change in their partitioning coefficient. Such a change in the estimated volatility is quite reasonable given the unknown nature of the functional group of the oxygen atoms – a hydroxyl group is predicted to decrease log
C* = 2–4 bins (see also Fig. S13†), which we may expect in the particle phase in lower amounts given the model results and the low OA mass (∼800 ng m−3), correspond mainly to C10HxO3–4N0–1 (Fig. S14†). While we do not exclude that denuder breakthrough or ionization-induced fragmentation artefacts could contribute to these signals, a change in their estimated volatility would also result in a large change in their expected particle phase contribution. Fig. S15† exemplifies the change in their partitioning coefficient, calculated as the modelled growth normalized to growth at the kinetic limit, when adjusting the estimated volatility by 1–2 orders of magnitude. Roughly speaking, an order of magnitude change in estimated C* would result in an order of magnitude change in their partitioning coefficient. Such a change in the estimated volatility is quite reasonable given the unknown nature of the functional group of the oxygen atoms – a hydroxyl group is predicted to decrease log![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C* by 2.23 whereas a hydroperoxide group would only decrease log
C* by 2.23 whereas a hydroperoxide group would only decrease log![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) C* by 1.24 per oxygen.41 While bO = 1.72 used in the growth model based on FIGAERO measurements,25 such slightly oxygenated compounds, especially under high-NOx conditions which suppress peroxy radical autoxidation, may have undergone only –OH addition resulting in a lower than predicted volatility. Lastly, fragmentation occurring in the PTR3 for such C10HxO3–4N0–1 signals may be quite significant,42,43 resulting in lower observed gas-phase concentrations and therefore lower expected particle-phase mass concentrations from the aerosol growth model.
C* by 1.24 per oxygen.41 While bO = 1.72 used in the growth model based on FIGAERO measurements,25 such slightly oxygenated compounds, especially under high-NOx conditions which suppress peroxy radical autoxidation, may have undergone only –OH addition resulting in a lower than predicted volatility. Lastly, fragmentation occurring in the PTR3 for such C10HxO3–4N0–1 signals may be quite significant,42,43 resulting in lower observed gas-phase concentrations and therefore lower expected particle-phase mass concentrations from the aerosol growth model.
Overall, we show that the particle composition measured by the EESI-TOF is in good agreement with the predicted particle composition from the condensation of gas-phase species, as well as that measured by the FIGAERO-CIMS. Uncertainties lie mainly in the compound-specific sensitivities in the EESI-TOF and the possibility of condensed-phase reactions taking place which have not been included in the aerosol growth model.
| Footnotes | 
| † Electronic supplementary information (ESI) available. See DOI: 10.1039/d1ea00050k | 
| ‡ These authors contributed equally to this work. | 
| § Now at: Tofwerk AG, 3600 Thun, Switzerland. | 
| ¶ Now at: Forest Dynamics, Swiss Federal Institute for Forest, Snow and Landscape Research WSL, 8903 Birmensdorf, Switzerland; Department of Chemistry, University of California, 92697 Irvine, CA, USA. | 
| This journal is © The Royal Society of Chemistry 2021 |