The effects of morphology, mobility size, and secondary organic aerosol (SOA) material coating on the ice nucleation activity of black carbon in the cirrus regime

There is evidence that black carbon (BC) particles may affect cirrus formation and, hence, global climate by acting as potential ice nucleating particles (INPs) in the troposphere. Nevertheless, the ice nucleation (IN) ability of bare BC and BC coated with secondary organic aerosol (SOA) material remains uncertain. We have systematically examined the IN ability of 100–400 nm size-selected BC particles with different morphologies and different SOA coatings representative of anthropogenic (toluene and n-dodecane) and biogenic (β-caryophyllene) sources in the cirrus regime (−46 to −38 C). Several BC proxies were selected to represent different particle morphologies and oxidation levels. Atmospheric aging was further replicated with the exposure of SOA-coated BC to OH. The results demonstrate that the 400 nm hydrophobic BC types nucleate ice only at or near the homogeneous freezing threshold. Ice formation at cirrus temperatures below homogeneous freezing thresholds, as opposed to purely homogeneous freezing, was observed to occur for some BC types between 100 and 200 nm within the investigated temperature range. More fractal BC particles did not consistently act as superior INPs over more spherical ones. SOA coating generated by oxidizing β-caryophyllene with O3 did not seem to affect BC IN ability, probably due to an SOA-phase state transition. However, SOA coatings generated from OH oxidation of various organic species did exhibit higher IN-onset supersaturation ratio with respect to ice (SSi), compared with bare BC particles, with the tolueneSOA coating showing an increase in SSi of 0.1–0.15 while still below the homogeneous freezing threshold. Slightly oxidized toluene SOA coating seemed to have a stronger deactivation effect on BC IN ability than highly oxidized toluene SOA, which might be caused by oligomer formation and the Published by Copernicus Publications on behalf of the European Geosciences Union. 13958 C. Zhang et al.: The effects on the ice nucleation activity of black carbon in the cirrus regime phase state transition of toluene SOA under different oxidation levels. n-dodecane and β-caryophyllene-derived SOAcoated BC only froze in the homogeneous regime. We attribute the inhibition of IN ability to the filling of the pores on the BC surface by the SOA material coating. OH exposure levels of n-dodecane and β-caryophyllene SOA coating experiments, from an equivalent atmospheric exposure time from 10 to 90 d, did not render significant differences in the IN potential. Our study of selected BC types and sizes suggests that increases in diameter, compactness, and/or surface oxidation of BC particles lead to more efficient IN via the pore condensation freezing (PCF) pathway, and that coatings of common SOA materials can inhibit the formation of ice.


Introduction
Cirrus clouds affect the global energy balance predominantly by more effectively trapping long-wave terrestrial radiation than reflecting solar energy (e.g., Kärcher et al., 2007;Heymsfield et al., 2017;Kärcher, 2018). In cirrus clouds, ice crystals can form via two pathways, i.e., homogeneous and heterogeneous ice nucleation (IN; Pruppacher and Klett, 2010). Homogeneous freezing is the spontaneous freezing of solution droplets without any foreign surfaces aiding the process (Pruppacher and Klett, 2010). Heterogeneous IN occurs more readily than homogeneous IN due to the presence of an ice nucleating particle (INP) at a lower supersaturation with respect to ice (SS i ) or warmer temperature (DeMott et al., 2003;Vali et al., 2015;Kanji et al., 2017). Deposition IN is one classical heterogeneous IN mode in which solid ice is formed by direct water vapor deposition onto an INP surface. Recently, laboratory studies demonstrated that ice formation at thermodynamic conditions relevant to classical deposition IN on porous material at cirrus temperature (below −38 • C) might actually be initiated by the homogeneous freezing of liquid water held within the cavities below water saturation due to the inverse Kelvin effect (Marcolli, 2014;David et al., 2019David et al., , 2020. This pathway by which porous material might form ice below water saturation below −38 • C is referred to as pore condensation and freezing (PCF; Marcolli, 2014).
Laboratory experiments have been carried out to study the effects of isolated processes on BC IN ability in detail. Both well-characterized, commercially available BC (e.g., DeMott et al., 1999;Fornea et al., 2009;Brooks et al., 2014;Mahrt et al., 2018;Nichman et al., 2019) and soot particles from combustion sources (e.g., Diehl and Mitra, 1998;Möhler et al., 2005b;Dymarska et al., 2006;Kanji and Abbatt, 2006;Koehler et al., 2009;Crawford et al., 2011;Friedman et al., 2011;Kanji et al., 2011;Kulkarni et al., 2016;Mahrt et al., 2018;Nichman et al., 2019) have been used to investigate the IN ability of BC particles, with a particular focus on IN below −38 • C. According to previous studies (e.g., Koehler et al., 2009;Friedman et al., 2011;Kulkarni et al., 2016;Mahrt et al., 2018;Nichman et al., 2019), the following physicochemical properties of particles may play vital roles in determining BC IN activity: (a) mobility diameter (d m ), (b) morphology, (c) surface oxidation state, and (d) organic material coating. It is widely acknowledged that larger particles act as more efficient INPs (e.g., Pruppacher and Klett, 2010), which has also been confirmed by recent heterogeneous IN experiments with various INPs (e.g., Welti et al., 2009;Lüönd et al., 2010;Marcolli, 2014;Mason et al., 2016;Mahrt et al., 2018;Nichman et al., 2019). Although the mechanism remains uncertain, one common theory is that the IN ability and rate are positively correlated to particle surface active sites density (Fletcher, 1960(Fletcher, , 1969, an empirical parameter that is relevant to particle size (e.g., Connolly et al., 2009;Kiselev et al., 2017). Similarly, the probability of a BC aggregate to contain a pore with the right properties (e.g., pore size and surface hydrophilicity) increases with increasing aggregate diameter, which would favor PCF for larger particles (Mahrt et al., 2018). The IN ability of monodisperse BC particles with the size range of 100-800 nm has previously been characterized (Koehler et al., 2009;Friedman et al., 2011;Kulkarni et al., 2016;Mahrt et al., 2018;Nichman et al., 2019). The lower size limit at which BC particles act as active INPs below −38 • C varied between 100 and 400 nm. However, the size threshold below which BC cannot nucleate ice at thermodynamic conditions relevant to the classical deposition mode at cirrus temperature and the underlying mechanism is still uncertain.
Freshly emitted BC particles are typically hydrophobic, fractal, nanoscale (< 200 nm) aggregates with branched or chain-like structures (e.g., Kinsey et al., 2010;Beyersdorf et al., 2014;Liati et al., 2014;Vander Wal et al., 2014;Lobo et al., 2015;Moore et al., 2017). BC aggregate surface area is determined by the primary particle sizes, the number of primary particles, and the way primary particles are connected (Kittelson, 1998). Nichman et al. (2019) reported a generally positive correlation between BC particle surface area and IN activity for particles with the same size. For smaller particles, Mahrt et al. (2018) presented a complex dependence of BC IN activity on particle size, surface area, and BC surface hydrophilicity. They attributed BC IN activity to the PCF mechanism (Marcolli, 2014;David et al., 2019David et al., , 2020 in which the IN of BC is considered as being the homogeneous freezing of liquid water taken up in mesopores (2-50 nm) due to the capillary effect (Fisher et al., 1981).
The surface chemistry of the emitted particles is governed by the source and the host environment in which the particles evolve. Nascent BC particles can interact with volatile species, such as sulfates and unburned hydrocarbons in the aircraft cooling exhaust plumes, and grow (e.g., Lefebvre, 1998;Onasch et al., 2009;Anderson et al., 2011;Kärcher, 2018). These particles can remain suspended in the atmosphere for days to weeks (Cape et al., 2012;Lund et al., 2018), or even months in the tropopause (Pusechel et al., 1992;Yu et al., 2019), during which the exposure to atmospheric biogenic and anthropogenic emissions and oxidation can lead to complex secondary organic aerosol (SOA) coatings (Jacobson, 2001;Zhang et al., 2008;China et al., 2015b;Kulkarni et al., 2016;Zhang et al., 2018b). Numerous experiments have been conducted to investigate the effects of surface coating on the BC IN ability. Hygroscopic BC particles (Koehler et al., 2009), or BC particles coated by hygroscopic materials such as sulfuric acid (DeMott et al., 1999;Möhler et al., 2005b;Crawford et al., 2011) and water-soluble organic acids (Friedman et al., 2011;Nichman et al., 2019) and SOA , tended to enhance the BC water uptake ability and form aqueous solutions on the BC surface, moving the IN-onset SS i towards the homogeneous freezing threshold. Hydrophobic organic coatings tended to impede the surface interaction between BC and water molecules. Möhler et al. (2005b), Crawford et al. (2011), andMahrt et al. (2018) reported a transition from the heterogeneous to homogeneous freezing mode for combusted BC with an increasing organic carbon (OC) content. Ozone (Friedman et al., 2011) and hydroxyl (OH) radical (Chou et al., 2013;Kulkarni et al., 2016) oxidation can change surface functional groups of BC particles and enhance hydrophilicity, but no distinguishable BC IN activity change has been observed. Despite these previous efforts, the influence of particle morphology, chemistry, and aging, as well as the microphysical mechanism behind BC IN ability, remains ambiguous.
In this work, we examine the effects of the particle mobility diameter, morphology, and SOA coating on the IN ability of several aerosolized BC proxies as a function of SS i in a cirrus-relevant temperature regime (from −46 to −38 • C). Representative species of anthropogenic (toluene and n-dodecane) and biogenic (β-caryophyllene) volatile organic compounds (VOCs) were chosen to simulate the potential photochemical atmospheric aging processes of BC. Different aging durations in equivalent atmospheric times were simulated by controlling the OH radical exposure. Our results help to clarify the effects of physicochemical properties and SOA formation on BC IN ability and on cirrus formation in the upper troposphere. Three organic species, namely toluene, n-dodecane, and βcaryophyllene, were selected to represent atmospheric SOA precursors from anthropogenic and biogenic sources (Table B1 in Appendix B). Toluene and n-dodecane are often selected as surrogate jet fuel components to investigate combustion and emission characteristics because they have been proven well suited to representing the tens of hundreds of components found in mainstream jet fuels (e.g., Dooley et al., 2010Dooley et al., , 2012Zhang et al., 2016;Zhao et al., 2017). Field aircraft emission studies also confirm the presence of these unburned aliphatic and aromatic organic compounds in the particles of aircraft engine exhaust fumes (e.g., Pison and Menut, 2004;Kinsey et al., 2011;Beyersdorf et al., 2012;Timko et al., 2014). These organic compounds may coat BC particles, forming BC-containing aerosols in the engine plume. Moreover, toluene is considered a dominant aromatic SOA precursor due to anthropogenic activities (e.g., Pandis et al., 1992), and it serves as a proxy for other light aromatic species (such as xylenes, alkylbenzenes, naphthalene, etc.) in atmospheric aromatic-seeded SOA formation models (e.g., Hildebrandt Ruiz et al., 2015). n-dodecane is one of the most studied long-chain aliphatic SOA precursors (e.g., Presto et al., 2010;Yee et al., 2013;Loza et al., 2014), representing less volatile aliphatic species. Modeling and field studies suggest that less volatile organic species might be significant anthropogenic SOA precursors in highly populated areas Tsimpidi et al., 2010;Lee-Taylor et al., 2011;Hodzic et al., 2016), among which ndodecane has relatively higher emission rate (Lee-Taylor et al., 2011). Terpenes are biogenic organics emitted by plants, among which β-caryophyllene has been found to be one of the most atmospherically abundant sesquiterpenes originating from agricultural plants and pine trees and other sources (Arey et al., 1991;Ciccioli et al., 1999;Helmig et al., 2006;Sakulyanontvittaya et al., 2008;Guenther et al., 2012;Henrot et al., 2017). Even though the atmospheric abundance of βcaryophyllene is not as significant as other biogenic organics, such as isoprene and α-pinene, its high reactivity towards O 3 and OH radicals to form oxidized products with low volatility makes β-caryophyllene an appreciable biogenic SOA source in the atmosphere (Shu and Atkinson, 1995;Calogirou et al., 1997;Hoffmann et al., 1997;Griffin et al., 1999;Helmig et al., 2006;Lee et al., 2006;Jaoui et al., 2007). An up to 7 ng m −3 atmospheric concentration of β-caryophyllene tracers during the summertime was reported (Jaoui et al., 2007).

Black carbon samples
Three types of commercially available BC particles (Raven 2500 Ultra, hereafter R2500U; Birla Carbon USA, Inc.; RE-GAL 330R, hereafter R330R; Cabot Corporation; CAB-O-JET 300, hereafter COJ300; Cabot Corporation Inkjet Colorants and Inks Division), corresponding to different surface chemistry and morphology regimes, were studied as proxies of atmospheric BC. Table 1 summarizes the characteristics of these BC proxies. R2500U and R330R are carbonaceous black pigment powders generated by incomplete combustion (Joyce and Henry, 2006;Cabot Corporation, 2020). COJ300 is a highly dispersible ink due to the 4-carboxyphenyl-modified surface (Johnson and Belmont, 1999). COJ300 is selected for its high degree of oxidation, which is confirmed by the particle analysis by laser mass spectrometry (PALMS) chemical analysis (see Fig. A1 in Appendix A), classifying it as the most oxidized BC proxy in this study. R2500U and R330R are unoxidized but differ in morphology, which was confirmed by morphology characterization and PALMS analysis (see Sect. 3.1). R2500U, R330R, and COJ300 were chosen as proxies of freshly emitted BC, atmospheric-compacted BC, and atmosphericoxidized BC, respectively. IN properties of 800 nm R330R and R2500U particles were previously studied (Nichman et al., 2019). This work addresses the remaining questions raised in the previous study and focuses on the impact of particle size, morphology, and surface oxidation. 2.2 BC particle generation and characterization 2.2.1 BC particle generation Figure 1 shows a schematic diagram of the experimental apparatus used in this study. The particle-generation setup is enclosed in the gray dashed box. Suspensions of R2500U and R330R and a diluted COJ300 dispersion (dilution ratio 1 : 30) were atomized with a three jet collision nebu-lizer (CH Technologies (USA), Inc), and bare BC experiments are marked by blue lines in Fig. 1. Suspensions of BC powder (R2500U and R330R) were prepared by mixing 1 g BC powder with 100 mL deionized (DI) water. The mixture was then sonicated for 10 min to make the suspension more uniform. The flow rates through the nebulizer were 1.5 standard liters per minute (SLPM) and 2.2 SLPM for bare BC experiments and BC-SOA mixing experiments, respectively, which were controlled by a mass flow controller (MFC; model MC-2SLPM-D; Alicat Scientific). The atomized BC particles were dried by passing them through two consecutive 43 cm silica gel diffusion dryers (DDU 570/H; Topas GmbH). All samples were then neutralized and size selected. For bare BC experiments, a Brechtel Manufacturing Inc (BMI) differential mobility analyzer (DMA; model 2002; Brechtel Manufacturing Inc) was used to size-select particles, with a 500 nm cut-off size impactor installed at the DMA inlet to remove large particles. For BC SOA mixing experiments, a TSI DMA (model 3081; TSI Incorporated) was utilized to select 350 nm COJ300 particles with no impactor applied. The sheath-to-sample ratios for bare BC and BC SOA mixing experiments were, respectively, ∼ 6 : 1 and 4 : 1. Compared with the widely used sheath-to-sample ratio (10 : 1; Karlsson and Martinsson, 2003), the lower ratios in our experiments might broaden the BC particle size distribution, yet still offer a satisfactory number concentration at the target particle size (Fig. 2) because of the large particle size being selected (Karlsson and Martinsson, 2003). The relative humidity (RH) of the aerosol stream entering the DMA measured by the BMI built-in RH sensor was ∼ 16 %. During the bare BC IN experiments, the size-resolved particle number concentration was monitored with a BMI condensation particle counter (BMI CPC; model 1700; Brechtel Manufacturing Inc).

Characterization of BC morphology
The 200, 300, and 400 nm R2500U and 400 nm R330R and COJ300 BC particles were collected on 300 mesh carbon film copper grids (Ted Pella, Inc) with a microorifice uniform deposit impactor (MOUDI; model M135-10; TSI Incorporated) for offline morphology analysis. The flow rate through the impactor was controlled by a mass flow controller (MFC; model MC-5SLPM-D; Alicat Scientific) at 2 SLPM so that the cut-off size of the impactor was 100 nm. The samples were analyzed offline in a Zeiss Merlin high-resolution scanning electron microscope (HRSEM; Carl Zeiss Microscopy GmbH). Table 1 summarizes the morphological characteristics, including the projected area-equivalent diameter (d a ), aspect ratio (AR), roundness, circularity, and 3-D fractal dimension (D f ), for different BC types and sizes derived from HRSEM images (× 30 000 to × 150 000). The primary particle diameter (d pp ) is the geometric average of the length and width of a clear primary particle (see Figs. A3 and A4 and the Table 1. Characteristics of selected BC proxies in this study. a BET-N 2 is the BET specific surface area based on N 2 adsorption isotherms, d m is the particle mobility diameter, and d a denotes the mean 2-D projected area-equivalent aggregate diameter derived from scanning electron microscope (SEM) images. Mean aspect ratio (AR), roundness (Roundness), and circularity (Circularity) are the geometric mean morphology parameters derived from several aggregates and are defined in Sect. 2.2.2. d pp denotes the mean geometric diameter of primary particles measured from SEM images, and N is the number of primary particles analyzed for each BC type and size. D f denotes the 3-D fractal dimension derived from 2-D SEM images, and d va is the particle vacuum aerodynamic diameter measured by the particle analysis by laser mass spectrometry (PALMS). Values in parentheses are the corresponding 1 standard deviation, and values in square brackets are the 95 % confidence intervals of D f .  text in Appendix A for more details). d a = √ 4A a /π is the diameter of a spherical aggregate that has the same projected area (A a ) as the BC aggregate (China et al., 2014). AR = L max /W max is the ratio between the longest dimension (L max ) of an aggregate periphery to the perpendicular maximum width (W max , Fig. A2). Roundness = √ 4A a /π L 2 max is used as a BC aggregate shape descriptor (e.g., China et al., 2013China et al., , 2015bKulkarni et al., 2016). Both AR and roundness are used to represent the shape deviation from a circle for which AR and roundness equal 1. Circularity = 4π A a /p 2 is a parameter used to describe the rugged level of an aggregate periphery (p), with the rugged irregular periphery causing circularity smaller than 1. D f depends on the primary particle number (N ) and the radius of gyration (R g ) of the aggregate (Mandelbrot, 1982). By using an ensemble approach, N is found to be scaled with (A a /A p ) 1.09 , where A a and A p are the projected area of the aggregate and primary particles, respectively (Samson et al., 1987;Köylü et al., 1995;Oh and Sorensen, 1997;China et al., 2014). The approximate relation L max /2R g = 1.50±0.05 is used to substitute R g , (Brasil et al., 1999),

BC
09 . D f can then be derived by a power law fit of scattered points between L max /d p and (A a /A p ) 1.09 for each aggregate (Fig. A4). The 400 nm R2500U is more fractal than COJ300 and R330R with the same d m , together with 300 nm R2500U, which is indicated by D f . The project area, and the derived d a , are significantly affected by the degree of fractal particles, since highly fractal particles can have voids affecting the project area. COJ300 and R330, and 300 nm R2500U particles, are more spherical and compact than the fractal 400 nm R2500U, leading to larger d a in comparison with 400 nm R2500U.

Chemical composition characterization of single BC particle
Qualitative chemical composition of size-selected BC particles was determined by PALMS. A detailed description of PALMS can be found elsewhere in the literature (Cziczo et al., 2006;Zawadowicz et al., 2015). PALMS is an online single particle mass spectrometer in which inlet particles are first aligned by an aerodynamic lens. Two Nd:YAG green (532 nm) laser beams separated by 33.6 mm are arranged at the bottom of the inlet, measuring particle velocity based on the time gap between the scattering signals. The velocity can be converted into vacuum aerodynamic diameter (d va ) from the measured time of flight (Cziczo et al., 2006;Fig. A5). A 193 nm ultraviolet (UV) excimer laser is then triggered, ablating and ionizing the particle. The ions of both refractory and volatile particle components are classified based on their mass to charge (m/z) ratio. PALMS provides either positive or negative polarity spectra for each particle. Particle ionization is often not quantitative. However, average ion ratios across many spectra allow a qualitative compositional comparison between two similar aerosol populations. Hundreds of spectra were collected for each soot sample to account for ionization differences caused by particle orientation difference (Murphy et al., 1998). The chemical composition of the SOA-coated BC particle stream was analyzed online by PALMS and a highresolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS; Aerodyne Research Inc.). More details about the AMS can be found in other literature (DeCarlo et al., 2006;Onasch et al., 2012); here, a brief introduction will be given.
The AMS offers a quantitative average mass spectrum of an ensemble of aerosols. Particles entering the AMS first go through an aerodynamic lens inlet to form a particle beam. A mechanical chopper is used downstream of the inlet to control the sampling particle or particle-free period. The AMS employs a heated 600 • C tungsten surface to vaporize nonrefractory aerosols. Ionization is achieved using a universal 70 eV electron ionization technique. Ionized species are detected by the time-of-flight mass spectrometry.

SOA material coating on BC particles
The 350 nm COJ300 BC was chosen to be the seed particle in all SOA coating experiments because of its effective IN activity and its higher particle concentration (∼ 1 × 10 6 # L −1 ) at the selected size, in comparison with other BCs (1-3 × 10 4 # L −1 ).
Particle generation during the SOA coating experiments was identical to the bare BC experiments. The SOA coating experimental setup section is enclosed in the yellow dashed box of Fig. 1. As stated above, COJ300 BC particles were nebulized in an airflow of 2.2 SLPM, dried in two consecutive 43 cm silica gel diffusion dryers, and then 350 nm BC particles were size-selected by a TSI 3081 DMA, with no impactor applied, and were directed to a potential aerosol mass (PAM) oxidation flow chamber (Kang et al., 2007;Lambe et al., 2011a;Liu et al., 2018). In the PAM reactor, the gas-phase VOC reacts with the OH radical and/or O 3 (Lambe et al., 2011a;Zhang et al., 2018a) and subsequently forms SOA-coated BC particles. All flow rates were controlled by MFCs. The PAM chamber was operated at 4.4 SLPM total flow rate, including 2.2 SLPM BC aerosol flow, 1.0 SLPM O 3 carrier flow, 0.7 SLPM VOC carrier flow, and 0.5 SLPM humidified air. The residence time of particles in PAM under such flow conditions was approximately 260 s. O 3 was generated by irradiating 1.0 SLPM dry air through an external mercury lamp (λ = 185 nm; Analamp low pressure Hg lamp; BHK Incorporated), with a concentration of 110 parts per million (ppm) inside the PAM chamber in our study (Lambe et al., 2011b). The typical O 3 mixing ratio in the tropopause ranges between 0.1 and 1 ppm (Fioletov, 2008;Gettelman et al., 2011). The ozone concentration in this study was higher than ambient concentration to expediate the reaction, given the short residence time of SOA within the PAM reactor (Lambe et al., 2011b;Zhang et al., 2015). A total of 0.5 SLPM humidified air was introduced into the chamber to react with the oxygen radical and produce OH radicals, with four mercury lamps (λ = 254 nm; BHK Incorporated) mounted in Teflon-coated quartz cylinders inside the chamber to irradiate O 3 and produce oxy- The OH radical concentration can be varied by changing the four lamps' voltage. Two voltage levels, i.e., 10 and 3 V, were tested in this study (indicated in Table 2 as suffixes -10 and -3), corresponding to different OH exposure levels and atmospheric aging times, ∼ 10-15 and ∼ 70-90 d, based on previous calculations (Lambe et al., 2011a). The equivalent atmospheric aging times t eq were calculated using the OH concentration of the PAM reactor c OH,PAM , the residence time of the particles within the PAM, t, and the ambient OH concentration c 0 = 1.0 × 10 6 cm −3 , following the equation t = c OH,PAM × t/c 0 . c OH,PAM was calculated based on O 3 concentration and UV intensity and RH measured in real-time from the PAM reactor (Lambe et al., 2011a;Zhang et al., 2018a). The VOC was injected into a heated bulb by a syringe pump and mixed with 0.7 SLPM dry air. The particle size distributions downstream of the PAM were measured by a BMI scanning mobility particle sizer (BMI SMPS; comprised of model 2002 DMA and model 1700 CPC; Brechtel Manufacturing Inc.). The injection rate was controlled so that the modal size of the particles shifted from 350 nm bare BC particles to 400 nm SOA-coated BC particles, as illustrated in Fig. 2. The 400 nm SOA-coated BC particles were then dried to ∼ 16 % RH and kept below 25 % by passing through two consecutive 43 cm silica gel diffusion dryers (DDU 570/H; Topas GmbH). The PAM chamber was cleaned by flushing it with 10 SLPM clean air overnight after each experiment. In order to confirm the cleanliness of the chamber, particle concentration was measured before and after each experiment. The particle concentrations measured each day before experiments were below 70 # cc −1 . Table 2 summarizes all the SOA mixing IN experiments and the operating conditions. A peak shift from 350 to 400 nm and an increase in the 400 nm particle concentrations was observed for all experiments (Figs. 2 and B1 in Appendix B), implying that there is SOA coating on BC particles. The name prefixes BG, T, D, and B in Table 2 stand for background test, toluene SOA coating experiments, n-dodecane SOA coating experiments, and β-caryophyllene SOA coating experiments, respectively. The name suffixes BC, 0, 3, and 10, and s denote seed BC only, O 3 oxidation only, low OH exposure level (3 V), high OH exposure level (10 V), and SOA self-nucleation experiments, respectively.
All three organic species were exposed to both low and high OH concentrations to investigate the effect of the oxidation level on SOA formation and IN activity. An extra O 3 oxidation experiment (B-0) was performed for β-caryophyllene because it is highly reactive towards O 3 and may form SOA in the absence of OH. Self-nucleation IN experiments (-s) were performed for pure SOAs generated from each organic species to exclude the effect of nucleated pure SOAs mixing with SOA-coated BC particles.

Ice nucleation measurement
BC IN properties, including thermodynamic conditions at IN-onset and activation fraction (AF) as a function of SS i and temperature, were measured with the SPectrometer for Ice Nuclei (SPIN; Droplet Measurement Technologies). The theory, dimension, and operating principles of SPIN can be found in previous studies (Garimella et al., 2016), and a brief description is given here.
SPIN is a continuous flow diffusion-chamber-style instrument comprising two flat, parallel stainless-steel walls for which the temperatures are independently controlled. The sampling flow rate of SPIN is 1.0 SLPM. Particles fed into SPIN are constrained by ∼ 9.0 SLPM sheath gas within a lamina near the centerline of the SPIN chamber. Turbulent mixing at the injection point causes some particles to spread outside of the aerosol lamina centerline. Since particles experience lower RH as they spread outside of the lamina, correction factors, ranging from ∼ 1.9 to 8.0, were considered in previous studies (Garimella et al., 2017;Nichman et al., 2019;Wolf et al., 2019). Both walls are coated with ∼ 1 mm ice prior to experiments. At the beginning of each experiment, a linear temperature gradient and water vapor partial pressure field are established between the warm and cold walls. Supersaturation with respect to ice is achieved because of the exponential relationship between temperature and saturation vapor pressure (Borgnakke and Sonntag, 2013;Steane, 2016). For all the experiments in this study, SPIN was operated in a SS i scanning mode (1.0 to 1.6) while keeping the lamina temperature (−46 to −38 • C) constant for each scan. The SS i increased from 1.0 at a rate of 0.03 per minute by increasing the temperature gradient between the walls above the homogeneous IN threshold and then lowering it to ice saturation.
An optical particle counter (OPC) collects scattering signals for number counting and sizing, together with backward-scattering depolarized signals for phase discrimination at the SPIN chamber outlet. The size-detection range of the OPC is 0.5 to 15 µm. A machine learning algorithm, using the OPC scattering and laser depolarization signal (Garimella et al., 2016), was used to classify each particle as an inactivated aerosol or ice crystal over the course of an experiment.
We define the IN onset as 1% of particles being activated, i.e., AF = 1 %, for a period of 10 s as activation. To account for aerosol spreading outside of the lamina where SS i is the highest (Garimella et al., 2016), correction factors of 3.4 and 2.2 were applied for R2500U and R330R . The correction factor was determined by taking the effect of morphology on particle behavior within SPIN lamina into consideration. Here, the AF is defined as the number concentration of ice crystals identified by the machine learning algorithm divided by the total particle number concentration entering SPIN. For the size-selected bare BC experiments, the total particle number concentration was measured by a CPC operating simultaneously with SPIN, while, for the SOA coating experiments, the total particle number concentration was integrated from the SMPS measurement.
3 Results and discussion 3.1 Ice nucleation on bare BC particles Figure 3 summarizes the IN-onset temperature versus SS i for 100-400 nm (a) R2500U, (b) COJ300, and (c) R330R BC particles, respectively. Representative error bars in black lines show 1 standard deviation of variability for SPIN lamina temperature and SS i derived from experimental data, separately for each panel (Kulkarni and Kok, 2012).
As shown in Table 1 and Fig. 3, the three test BC types exhibit different particle morphology. The 400 nm R2500U has the smallest D f (∼ 1.92), and COJ300 and R330R have larger D f (∼ 2.34 and 2.31, respectively); R2500U is the most fractal BC, while COJ300 and R330R are more spherical and compact. Meanwhile, R2500U and COJ300 have similar d pp (34-35 nm), and R330R has larger (∼ 45 nm) primary particles. The larger d pp of 200 nm R2500U (Table 1) might result from the blurring of primary particles under high magnification. Single particle surface area can be inferred by combining the fractal level and d pp together, and the decreasing order of the single particle surface area is R2500U > COJ300 > R330R, which is in agreement with BET specific surface area data. The negative polarity mass spectra collected for 400 nm BC particles with PALMS are presented in Fig. A2. The spectra of all three BC types exhibit typical consecutive carbon peaks (m/z = 12, 24, 36, etc.). The spectra of COJ300 show the presence of oxidized ions, such as O − (m/z = 16), OH − (m/z = 17), and COOH − (m/z = 45), which are highlighted in red in Fig. A2b. The frequency of the m/z = 16 signal (Table 1) and PALMS O : C ratio result (Fig. A1) confirms that COJ300 is more oxidized than R2500U.
The results in Fig. 3a demonstrate that the particle size is relevant to the particle's IN ability, consistent with the BC heterogeneous IN ability enhancement triggered by increasing particle size in previous studies (Mahrt et al., 2018;Nichman et al., 2019). The 400 nm R2500U and R330R BC particles were able to nucleate ice below the homogeneous freezing threshold within the representative uncer-  Koehler et al. (2009) showed that IN was favored for oxidized hydrophilic BC, but too many hydrophilic active sites may bond water molecules, impeding ice embryo formation and thus impairing IN (Pruppacher and Klett, 2010). The surface-modified, highly dispersible, and spherical COJ300 with smaller d pp shows better IN efficiency than fractal BC, which is consistent with the results of Mahrt et al. (2018) and Nichman et al. (2019), based on PCF mechanism. The physiochemical properties of COJ300 particles, including oxidized surface, appropriate d pp , and compacted spherical morphology, may result in a higher probability of having cavities with appropriate size and hydrophilicity on particle surfaces (Mahrt et al., 2020). Such cavities can accommodate liquid water below bulk water saturation and initiate homogeneous freezing of liquid water via PCF pathways (Marcolli, 2014;David et al., 2019David et al., , 2020. Figure 5 shows the IN-onset SS i at which 1 % of 400 nm SOA-coated COJ300 particles nucleate ice within the temperature range of −46 to −38 • C. The IN-onset data of the bare 350 nm COJ300 particles (marked as + symbol) are also included to highlight the effect of SOA coating. IN-onset SS i of pure SOA particles is shown separately as an asterisk to (squares), respectively. IN-onset data for 800 nm R2500U and R330R from a previous study are included and denoted in gray markers (Nichman et al., 2019). Different marker sizes in this study correspond to different d m . Solid blue lines are the water saturation lines, and black lines are homogeneous freezing lines of 200 nm aqueous droplets (Koop et al., 2000). A representative error bar of SPIN lamina temperature and SS i is given on the left of each panel.

Ice nucleation on BC coated with SOA material
rule out the possible ice formation below the homogeneous freezing threshold induced by pure SOA.
There exists no distinguishable difference between bare COJ300 and BC coated with highly oxidized toluene SOA (T-10 in Table 2) from −46 to −44 • C. The toluene SOA mass spectrum in Fig. 6a exhibits a higher m/z = 44 (COO − ) and lower m/z = 43 (C 3 H − 7 ) fraction signal, indicating more oxidized organic species were generated during T-10 and T-3 experiments (Lambe et al., 2011b), agreeing with the previous study on toluene SOA (Liu et al., 2018).
The higher O/C ratio (Fig. 7) of toluene-derived SOA may enhance the hygroscopicity of the particle (Lambe et al., 2011b;Zhao et al., 2016;Liu et al., 2018), with the potential to form an aqueous film on the BC surface and re-  (Koop et al., 2000). The gray shading indicates 1 standard deviation of variability for SPIN lamina SS i . duce the IN ability of BC particles. On the other hand, Hinks et al. (2018) showed that toluene-derived SOA contained a significant amount of oligomers under dry laboratory conditions, similar to what we conducted in the PAM chamber in this study. Volkamer et al. (2001) proved that glyoxal, which could facilitate the oligomerization as described by Hinks et al. (2018), can be produced from a toluene reaction with OH as highly oxidized products. The slopes of T-10 and T-3 in Fig. 7 lie between 0 and 1 (0.71 and 0.99 for T-10 and T-3, respectively), suggesting that the oxygen and hydrogen atom addition, accompanied by carbon-carbon double bond and benzene ring breakage, might have happened during the toluene photooxidation experiments. These large oligomers could potentially reduce the hygroscopicity and alter the phase state of toluene SOA to be semisolid or solid within the temperature range we investigated in this work (DeRieux et al., 2018;Zhang et al., 2018c;Li et al., 2020) within which the SOA can still nucleate ice (Murray et al., 2010;Berkemeier et al., 2014;Y. Zhang et al., 2019b). The toluene SOA in T-10, with a O : C ratio over 1 (Fig. 7), has most likely already transited into a solid or semisolid glassy state at the temperature range we investigated before entering SPIN (DeRieux et al., 2018). Therefore, it is very likely that BC particles are mostly stuck to or embedded in these glassy SOAs, with some bare BC parts exposed. Ice crystals may therefore form on the carbonaceous part of the partially coated particles whose IN-onset SS i should be the same as bare COJ300. At temperatures above −43 • C, toluene SOAcoated BC particles nucleate ice at SS i ∼ 0.1 to 0.15 higher than the IN-onset SSi of bare 350 nm COJ300 but still ∼ 0.15 below the homogeneous freezing threshold. This might be due to the hygroscopicity enhancement of the toluene SOAcoated BC in T-10. BC coated by ∼ 10-15 equivalent days of atmospherically oxidized toluene SOA (T-3 in Table 2) is less IN active than those particles coated by highly oxidized toluene SOA (T-10) at around −46 and −43 • C. This might also be attributed to the oxidation level and the cor-  (Koop et al., 2000), respectively. A representative SPIN lamina temperature and SS i error bar is given on the left side of each panel. The toluene-SOA-coated diesel BC IN data from Kulkarni et al. (2016) are also included for comparison. responding phase state difference between the SOA generated from the T-10 and T-3 experiments, which is beyond the scope of this study and requires further detailed phase transition study for toluene SOA. Overall, two competing effects, i.e., the hygroscopicity enhancement deactivating BC IN ability and toluene SOA glass-phase transition producing BC that is stuck together or partly coated may make our toluene SOA coating IN onset move towards, but not fully in, the homogeneous freezing regime. The toluene-SOA-coated diesel combustion BC , however, nucleate ice near the homogeneous threshold, as indicated in Fig. 5a. This might be due to the much thicker (90 nm) organic coating in their study compared to the 25 nm coating of this work, leading to a complete coverage of BC surface.
The IN-onset SS i of highly oxidized n-dodecane-SOAcoated COJ300 particles (D-10 in Table 2) in Fig. 5b shows that these particles nucleate ice homogeneously between −46 and −42 • C. BC coated by slightly oxidized n-dodecane SOA (D-3 in Table 2) nucleates ice nominally lower than the homogeneous freezing threshold between −43 and −40 • C. As shown in Fig. 5c, the IN-onset SS i of OH-oxidized βcaryophyllene SOA-coated COJ300 particles (B-10 and B-3 in Table 2) is in the homogeneous freezing regime. The mass spectra in Fig. 6b and c exhibit a large fraction of signals at m/z = 15 (CH − 3 ), 29 (C 2 H − 5 ), 43 (C 3 H − 7 ), and 55 (C 4 H − 7 ) for n-dodecane and β-caryophyllene SOA coating experiments in this study, implying the formation of less oxidized aliphatic fragments during these experiments (Lambe et al., 2011b). The H/C and O/C values of n-dodecane and β-caryophyllene SOA coating in Fig. 7 are smaller than that of toluene SOA, which are in agreement with previous studies (Simonen et al., 2017;Li et al., 2019;Pereira et al., 2019). The slopes of the H/C and O/C values between these two types of SOAs and their respective two precursors (Fig. 7) are in the range between −1 and 0, which is consistent with the simultaneous formation of carboxylic acid functional groups and C-C bond breakage (Heald et al., 2010;Lambe et al., 2011b). The addition of the carboxylic acid group may enhance the hygroscopicity of ndodecane and β-caryophyllene SOA, and the hygroscopicity is further enhanced with more OH exposure (Frosch et al., 2013;Yee et al., 2013;Schilling et al., 2015;Bé et al., 2017). We conclude that BC with OH-oxidized n-dodecane and β-caryophyllene SOA coatings, regardless of the oxidation level, may condense on the BC surface and form organic films, leading to ice formation in the homogeneous regime. However, COJ300 BC coated with O 3 oxidized βcaryophyllene SOA (B-0 in Table 2) shows no significant alternation in the IN ability, as shown in Fig. 5c. Unlike the OH oxidation of β-caryophyllene where fragmentation happens, O 3 addition is very likely to happen first on the carboncarbon double bond of β-caryophyllene in B-0, leading to a formation of semisolid or solid SOA Winterhalter et al., 2009), as illustrated in Fig. 7, with a slope between 0 and 1. As with the case of T-10, such semisolid or solid SOA might collide and stick with BC particles, leaving some bare carbonaceous surfaces that can nucleate ice, following the IN pattern of COJ300 BC.
The experimental results are attributed to two factors, namely organic coating and SOA-phase state. Previous studies controlling the combustion fuel-air ratio produced BC particles occupying different OC content fractions, among which the higher organic content BC had amorphous organic surfaces (Möhler et al., 2005b;Crawford et al., 2011;Mahrt et al., 2018). In these studies, shifts from heterogeneous to homogeneous freezing with increasing OC content have been Figure 6. Normalized aerosol mass spectrometer (AMS) mass spectra of COJ300 BC particles coated with (a) toluene SOA, (b) n-dodecane SOA, (c) β-caryophyllene SOA, and (d) bare COJ300 BC particles. More oxidized SOA is generated when toluene acts as a precursor, while less oxidized SOAs are generated when n-dodecane and β-caryophyllene act as precursors in this study, as indicated by the different fractions of m/z = 43 and 44, respectively (Lambe et al., 2011b;Ng et al., 2011;Canagaratna et al., 2015). The absolute organic mass loading present in the bare COJ300 BC experiment is less than 1 % of the organic mass loading from the other three types of SOA coating experiments.
observed. Kulkarni et al. (2016) reported that an 80 nm αpinene SOA coating can suppress the IN ability of 120 nm diesel BC particles. However, studies show that, as the phase state of the organic coating changes below a certain threshold, especially near the glass-transition temperature, these organic coatings might be able to heterogeneously nucleate ice (Murray et al., 2010;Berkemeier et al., 2014;Y. Zhang et al., 2019b). The suppression of the BC IN ability by organic coating was attributed to the coverage of surface-active sites and the filling of pores on the BC surface when the volatility of the organic coating was relatively high and might have presented in the liquid phase. Certain SOA coatings in this study are less oxidized and, thus, may similarly impair BC IN ability due to their relatively high volatility, as Docherty et al. (2018) andHildebrandt Ruiz et al. (2015) showed in an inverse correlation between the volatility and oxidation state. Our results suggest that less oxidized SOA (ndodecane and β-caryophyllene-derived SOA from photooxidation), with 200 to 4000 times the typical tropospheric SOA (Tsigaridis and Kanakidou, 2003;Heald et al., 2008;Hodzic et al., 2016) mass loading in the PAM chamber (∼ 2000 to 4000 µg m −3 ), is more likely to condense on seed particles and form fully coated BC particles, moving IN-onset SS i to the homogeneous regime, while β-caryophyllene SOA oxidized by O 3 does not alter the SS i of the soot particles. In addition, more oxidized SOA (toluene-derived SOA from photooxidation) with potentially more oligomer formation, Figure 7. The elemental H/C ratio as a function of the O/C ratio for three pure organic precursors (hollow symbols) and corresponding COJ300 BC particles seeding SOA inside the PAM reactor (filled symbols). Different symbol sizes denote different OH exposure levels. The negative slopes of SOA coating experiments are consistent with the simultaneous carboxylic acid group addition and C-C single bond breakage (Heald et al., 2010;Lambe et al., 2011b). moves IN-onset SS i towards, but still below, the homogeneous freezing threshold.

Atmospheric implications
BC particles emitted from combustion sources (such as aeroengines) are carbonaceous nanoscale fractal aggregates with a primary particle diameter of 20-50 nm (Bockhorn et al., 2009;Vander Wal et al., 2014). These BC particles can remain suspended in the atmosphere for days and might undergo compaction and atmospheric aging, such as oxidation and mixing with atmospheric organic species. This study focuses on the impact of morphology, particle size, and mixing state on the IN ability of BC-containing aerosols. Three BC proxies were chosen to represent freshly emitted (in other words, unoxidized and more fractal) BC (R2500U), unoxidized compacted BC (R330R), and atmospheric chemically aged BC (COJ300). The morphological characteristics are within the value range of typical amounts of BC emitted from combustion sources and those collected in field observations (e.g., Lapuerta et al., 2007;China et al., 2013China et al., , 2014Vander Wal et al., 2014;China et al., 2015b;Y. Zhang et al., 2019a). BC primary particle size range in this study lies between 10 and 70 nm, with a modal size around 25 to 40 nm, consistent with previous primary particle studies on combustion BC (e.g, Smekens et al., 2005;Liati et al., 2016;Joo et al., 2018). Previous field observations of transportation emissions and biomass burning reported that ambient BC oc-cupied d a , circularity, and roundness in the range of 130 to 940 nm, 0.19 to 0.55, and 0.32 to 0.6, respectively (China et al., 2013(China et al., , 2014(China et al., , 2015a, overlapping with the range in this work. R2500U is similar to the fresh BC emitted from B737 at medium power, when burning conventional jet fuel, in terms of morphology characteristics (Vander Wal et al., 2014). The primary particle size is consistent with BC emitted from prevalent gas turbine engines (Huang and Vander Wal, 2013). Findings in this study can be relevant to airborne aircraft emissions and ground emissions carried by updrafts to the tropopause.
The IN results for bare BC particles show a dependence on particle size and surface chemistry, but the role of the fractal level seems to be of limited importance. The lower size limit of bare BC in exhibiting IN activity is between 300 and 400 nm for R2500U at −46 • C. This is important for freshly emitted BC from aircraft engines and ground transportation, which is generally fractal and smaller than 200 nm, with a modal size ranging from 20 to 100 nm (Kittelson, 1998;Wey et al., 2006;Anderson et al., 2011;Wang et al., 2016;Moore et al., 2017;Raza et al., 2018;Awad et al., 2020). It is unlikely that small, freshly emitted BC will activate as INP in aircraft plumes below the homogeneous freezing threshold if they possess similar physicochemical properties to R2500U. The smallest size for compacted BC (R330R) to activate as INPs lies between 200 and 400 nm at −46 • C. However, the IN ability of small BC particles may be enhanced after cloud cycles, during which fractal BC geometries may collapse, forming PCF-favoring morphology (Mahrt et al., 2020). Apart from the most spherical morphology, the smaller d pp of COJ300 may also offer a higher probability of forming smaller mesopores with the appropriate size to accommodate ice crystal formation below water saturation, with particles down to 100 nm acting as efficient INP. Pores formed by BC with larger d pp might be too wide to accommodate liquid water in our experimental conditions. Besides, the COJ300 IN results imply that ice crystal formation may favor oxidized hydrophilic surfaces, confirming the importance of surface hydrophilicity for pore filling in the PCF mechanism (David et al., 2019;David et al., 2020). This suggests that long-lived atmospheric BC particles, after being oxidized and compacted, may act as efficient INP.
To simulate atmospheric aging, toluene, n-dodecane, and β-caryophyllene were chosen to represent anthropogenic and biogenic SOA precursors (Atkinson and Arey, 2003;Hu et al., 2008;Ding et al., 2014). Toluene-derived SOA coatings impede BC heterogeneous IN activity slightly, while ndodecane and β-caryophyllene-derived SOA coatings cause BC particles to nucleate ice homogeneously. BC emitted from aircraft and vehicles is likely to be coated by toluene and n-dodecane-derived SOA (e.g., Beyersdorf et al., 2012Beyersdorf et al., , 2014Timko et al., 2014). According to our experimental results, even though such a coating can facilitate particle growth, SOA-coated particles are more likely to nucleate ice near the homogeneous freezing threshold.
The conclusions drawn here for BC proxies may deviate from genuine BC emitted from combustion sources. Nonetheless, BC surrogates are often used in research to mimic aircraft-emitted BC for their similarity and availability (e.g., . Additional IN studies, over a wider temperature range, would also be required for the proxies to firmly verify the PCF mechanism; the question of whether the studied IN is depositional or in fact the homogeneous IN of liquid water in pores and cavities remains to be answered due to the limited temperature range investigated in this study.

Summary
The IN ability of size-selected (100-400 nm) BC particles with different morphologies and surface chemistry and BC particles coated with toluene, n-dodecane, and βcaryophyllene-derived SOA has been systematically investigated in the cirrus temperature regime (−46 to −38 • C). Three aerosolized BC proxies were selected to represent particle morphology at different atmospheric aging stages, i.e., freshly emitted (R2500U), atmospheric compacted (R330R), and atmospheric compacted and oxidized (COJ300). The IN activity was investigated in relation to particle size, morphology, surface chemistry, SOA precursor type, and OH exposure level.
The results show that the lower size limit for BC particles to exhibit IN activity varies between BC type. At 400 nm, freshly emitted and compacted BC particles nucleate ice near the homogeneous freezing threshold. Ice crystals form on most spherical, surface-modified hydrophilic BC at SS i as low as 1.15. The onset of some IN occurs below the homogeneous freezing threshold, as opposed to purely homogeneous freezing, for some BC types between 100 and 200 nm, in some cases below 100 nm. We conclude that BC IN favors larger, spherical particles with oxidized hydrophilic surfaces. The highly fractal BC particles did not necessarily act as superior INP over more spherical ones as would normally be anticipated from surface area. This could be attributed to PCF occurring in the pores and cavities with the appropriate size offered by compacted BC particles.
Toluene-derived SOA coatings increase bare BC IN-onset SS i by 0.1-0.15, but this is still below the homogeneous freezing threshold. Slightly oxidized toluene SOA coatings seem to have a stronger deactivation effect on BC IN ability than highly oxidized toluene SOA, which might be caused by oligomer formation and the phase state transition of toluene SOA material under different oxidation levels. The higher volatility of OH-oxidized n-dodecane and β-caryophyllene SOA may enhance the coating thickness and further elevates the IN-onset SS i into the homogeneous freezing regime. This might be due to SOA material filling the pores on BC surfaces and leading to IN near the homogeneous regime. O 3 -oxidized β-caryophyllene SOA does not seem to affect BC IN activity. OH exposure levels of n-dodecane and βcaryophyllene SOA coating experiments, from an equivalent atmospheric exposure time range of 10 to 90 d, shows no significant difference. Our study broadens the aging processes of atmospheric BC particles and may offer the basis for a better prediction of their IN activity and contribution to cirrus cloud formation. We suggest that future studies should focus on the IN activity of realistic combustion particles (aircraft, vehicles, biomass burning, etc.) and advanced single particle characterization for validation of the PCF mechanism.
Appendix A: BC physio-chemical properties characterization Figure A1. Negative polarity oxygen and carbon peak areas from PALMS for (a) 400 nm R2500U and COJ300 BC. (b) SOA-coated BC particles. Cluster centroid denoted as a bull's eye. Generally, the probability of O − signal presence in COJ300 is an order of magnitude higher than R2500U.   BC aggregate parameters, including L max and W max , perimeter, and project area, are determined by manually drawing the periphery of the aggregate, as shown in Fig. A4a-e. The primary particle diameter is determined by identifying the boundary of the BC primary particle in the SEM image. After manual selection of the start and end points of a primary particle's length and width, respectively, the distance between these points is calculated automatically and recorded. The primary particle diameter equals to the geometric mean of the length and width. The primary particle size distribution of a specific BC type and size can then be obtained by categorizing the primary particle diameters into different size bins and counting the frequency, as shown in Fig. A5. BC primary particle size distribution obeys normal distribution. The coefficients and goodness of normal distribution fits are shown in Table A1.  Figure A5. Primary particle size distributions for the selected BC particle types. The dashed lines are the fitted normal distribution curves.    (Griffin et al., 1999) (Shu and Atkinson, 1995) 53 b k O 3 1.16 × 10 −2 (Jaoui et al., 2013) (Shu and Atkinson, 1994) a Measured at an organic particle concentration of 10 µg m −3 . b Measured at an organic particle concentration of 26 µg m −3 . Figure B1. Temporal particle size evolution for different BC and SOA mixing experiments. The x axis shows the number of scans equivalent to the experiment time. Together with the color map, the y axis shows the size distribution for a certain time. A size shift from 350 to 400 nm can be observed for each experiment. Data availability. Data inquires can be directed to the corresponding author (Longfei Chen; chenlongfei@buaa.edu.cn).
Author contributions. CZ, YZ, MJW, LN, TBO, and DJC designed the experiments and methodology. CZ collected black carbon samples and performed morphology characterization. CZ, YZ, MJW, and CS performed the chemical analyses and measured the ice nucleation activity. CZ, YZ, MJW, LN, LC, and DJC prepared the paper with input from all coauthors.
Competing interests. The authors declare that they have no conflict of interest.
Acknowledgements. We thank our peer reviewers for their valuable comments and suggestions to make our paper scientifically improved and more concise. Financial support. This research has been supported by the Chinese Government Scholarship (grant no. 201806020052).
Review statement. This paper was edited by Hinrich Grothe and reviewed by two anonymous referees.