The optical properties and in-situ observational evidence for the formation of brown carbon in clouds

. Atmospheric brown carbon (BrC) makes a substantial contribution to aerosol light absorption and thus global radiative forcing. Although BrC may change the lifetime of the clouds and ultimately affect precipitation, little is known regarding the optical properties and formation of BrC in the clouds. In the present study, the light-absorption properties of cloud droplet residual (cloud RES) were measured by coupled a ground-based counterﬂow virtual impactor (GCVI) and an optical properties of BrC in both cloud-processed cloud-free particles


Introduction
Brown carbon (BrC) makes a significant contribution to global radiative forcing, equivalent to 27 %-70 % of that from black carbon (BC) (G. . The addition of BrC in climate models may change the direct radiation effect of organic aerosols from cooling (−0.08 W m −2 ) to warming (+0.025 W m −2 ), which may affect the lifetime and distribution of clouds, and thus precipitation and surface temperature (Zhuang et al., 2010). BrC may also contribute to uncertainties in global radiative forcing, as estimated to cause positive radiative forcing (−2.0 to +2.5 W m −2 , with an average of 0.01 ± 0.04 W m −2 ) in aerosol-cloud interaction (Brown et al., 2018). However, such models rarely considered the secondary BrC, although increasing evidence shows that secondary BrC may represent the dominant fraction of total BrC (19 %-91 %) (Wang et al., 2019a, b).
Aqueous-phase reactions in the clouds have been shown to significantly affect global secondary organic aerosol (SOA) production (Ervens, 2015;Liu et al., 2012;Spracklen et al., 2011), and thus may potentially contribute to secondary BrC. Production of BrC from aqueous-phase reactions has been extensively investigated in the laboratory, revealing that BrC can also be formed secondarily through a variety of mechanisms, e.g., photochemical oxidation, nitration, and Maillard reactions (Y. H. Pósfai et al., 2004;Shapiro et al., 2009). For instance, secondary BrC is observed from the photo-oxidation of aromatics (Pang et al., 2019;, the nitration of phenol (Heal et al., 2007;Vione et al., 2001), and the reaction of carbonyls with ammonium or amines (De Haan et al., 2011;Nguyen et al., 2012;Heal et al., 2007). Secondary BrC such as nitrophenols, aromatic carbonyls, imidazole, and organosulfates have also been detected in cloud and fog water (Desyaterik et al., 2013;Kim et al., 2019;Pratt et al., 2013;Bianco et al., 2016a;Lebedev et al., 2018;Lüttke and Levsen, 1997). However, to what extent in-cloud processes contribute to the formation of BrC is still unclear.
Given that the currently applied imaginary refractive index of BrC based on the empirical formula of BC to OA ratio (Saleh et al., 2014) in the model simulation (Brown et al., 2018) may induce potential bias (Bikkina and Sarin, 2019), more field studies should be conducted to constrain the optical properties of BrC. Although various light-absorbing species have been identified in clouds, only a few studies focused on the optical properties of BrC in fog and clouds.
Nitrophenols and aromatic carbonyls were the major fraction contributing to the light absorption (∼ 50 %) of cloud water at wavelengths from 300 to 400 nm at Mt. Tai (Desyaterik et al., 2013). The mass absorption efficiency (MAE 365 ) of water-soluble organic carbon (WSOC) in fog water in California was 0.1-0.6 m 2 g −1 (Kaur and Anastasio, 2017). Many field studies focused on the optical properties of BrC in particulate matter. The light absorption of BrC in PM 2.5 was well correlated with nitrophenols, polycyclic aromatic hydrocarbons, and oxygenated polycyclic aromatic hydrocarbons . Nitrophenols and carbonyl oxygenated polycyclic aromatic hydrocarbons accounting 10 %-14 % to the light absorption at 365 nm in urban PM 2.5 (Huang et al., 2020). The contribution of nitrophenols and nitrated salicylic acids to the aqueous extract light absorption of PM 10 was 0.10 %-3.71 % and five times higher than their mass contribution to WSOC (Teich et al., 2017). The fluorescent chromophores of fog and cloud water, as identified by excitation-emission matrix fluorescence spectroscopy (EEMs) in Louisiana and at Mt. Tai, were mainly composed of humic-like and protein-like substances (Birdwell and Valsaraj, 2010;Zhao et al., 2019), which might also be related to the presence of BrC (Chen et al., 2016;. However, such studies were generally limited to PM 2.5 , rather than in the clouds. Our previous studies showed that the in-cloud aqueousphase reactions could significantly promote the formation of SOA, such as nitrogen-containing organic matters, and affect the physicochemical properties of particles (Fu et al., 2020;Lian et al., 2021;Lin et al., 2017;Zhang et al., 2017a). In the present study, we took a further step to perform simultaneous on-line measurements of the light-absorption coefficients for the cloud droplet residual (cloud RES), cloud interstitial (cloud INT), and ambient (cloud-free) particles, coupled with the light-absorption and concentration measurements of WSOC in cloud water and PM 2.5 . We aim to explore: (1) the optical properties of BrC in cloud-processed, cloud-free particles and WSOC in PM 2.5 and cloud water; (2) the possible contribution of in-cloud production to BrC light absorption, and (3) the characteristics of fluorescent chromophores in cloud water and PM 2.5 and their relationship with lightabsorption properties of BrC.

Sampling setup
Measurements of the cloud-free, cloud RES, and cloud INT particles were performed at Mt. Tianjing (24 • 41 56 N, 112 • 53 56 E, 1690 m a.s.l.) in Guangdong province, China between 18 November and 5 December 2020. This site is located at a national forest reserve and is less affected by anthropogenic sources. The cloud event determination threshold was set as visibility less than 3 km and relative humidity (RH) larger than 95 %. During the cloud events, the cloud RES and cloud INT particles were alternately introduced into the instruments through a ground-based counterflow virtual impactor (GCVI, model 1205, Brechtel Mfg., Inc., USA) and PM 2.5 cutoff, respectively, at a frequency of 1 hour. The GCVI cut size was set to 7.5 µm, where the transmission efficiency of cloud droplets was 50 % (Shingler et al., 2012). It should be noted that the PM 2.5 inlet may introduce possible uncertainty for the collection of cloud INT particles due to the interference of cloud droplets, although the size distribution of cloud droplets was mainly concentrated on 6-9 µm at mountain sites . However, this would not be the case when cloud residual particles are mainly focused on, as in the present study. The collected cloud droplets passed through an evaporation chamber (40 • C), resulting in the cloud RES particles for downstream analysis. An aethalometer (model AE-33, Magee Scientific., USA) was used to measure the light-absorption coefficients of particles at wavelengths of 370, 470, 520, 590, 660, 880, and 950 nm. AE-33 uses two parallel spot measurement technologies to compensate for the light attenuation due to the filter loading effect (Drinovec et al., 2015). The BC concentration was calculated by the light-absorption coefficient at 880 nm. The detection limit of BC is less than 10 ng m −3 (equal to 0.077 Mm −1 at 880 nm) and the uncertainty is ∼ 2 ng m −3 (equal to 0.015 Mm −1 at 880 nm), with a time resolution of 1 min.
Cloud water samples were collected by a Caltech Active Strand Cloud Water Collector, Version 2 (CASCC2) (Demoz et al., 1996; when the visibility was less than 200 m (from 14 November to 4 December 2020). The cut size was 3.5 µm, the flow rate was 5.8 m 3 min −1 , and the overall collection efficiency was 86 %. During the sampling period, 53 cloud water samples were collected. The 0.22 µm quartz fiber filter was used immediately to remove insoluble components after collection of cloud water and then frozen at −20 • C until analysis. Meanwhile, PM 2.5 samples were collected by a mid-volume (300 L min −1 ) aerosol sampler (PM-PUF-300, Mingye, China). Daily samples (during 14 November to 8 December 2020) were collected on the quartz fiber filters, which were prebaked at 450 • C for 4 h in a muffle furnace to remove residual organics before use. After collection, all samples were frozen at −20 • C until analysis. In this study, PM 2.5 samples collected at the same time as cloud water samples were regarded as INT-PM 2.5 (n = 13), and the others as FREE-PM 2.5 (n = 19). It should be noted that some FREE-PM 2.5 samples also experienced short cloud events during collection. Blank samples of the cloud water and PM 2.5 were collected and processed following the same procedure as the samples.

Calculation of secondary BrC light absorption
The light-absorption coefficient (Abs BrC (λ), Mm −1 ) of BrC in different wavelengths can be obtained by AE-33, assuming that the absorption Ångström exponent (AAE) of BC is 1 and the light absorption at 880 nm only due to BC (Drinovec et al., 2015). The cloud RES, cloud INT, and cloud-free particles were generally located in submicron size (Fig. S1), and thus were unlikely to have originated from noncombustion sources and are mostly biogenic and mainly exist in the coarse mode (Perrino and Marcovecchio, 2016). The Abs BrC (λ) contributed by the combustion sources can be estimated through a BC-tracer method Where Abs(λ) is the total light-absorption coefficient of carbonaceous aerosol that was measured by AE-33, ( Abs(λ) BC ) pri can be determined by the minimum R squared (MRS) method to further evaluate the relative contribution of primary BrC and secondary formation BrC to the overall Abs BrC (λ). Firstly, Abs pri,comb (λ) is calculated based on ( Abs(λ) BC ) pri , which is assumed to be step increasing from 0 to 120 with a rate of 0.1. The target ( Abs(λ) BC ) pri value can be retrieved when the correlation coefficient (R 2 ) between Abs BrC,sec (λ) with BC concentration reaching the minimum (see Fig. S2). Previous studies showed that the bias of MRS method is less than 23 % when the measurement uncertainty is less than 20 % (Wu and Yu, 2016). It should be noted that when the measured ratio of Abs(λ) BC is lower than the retrieved ( Abs(λ) BC ) pri , the Abs BrC,sec (λ) could be negative. In these cases, Abs BrC,sec (λ) is set to zero for subsequent analysis (Kaskaoutis et al., 2021;Wang et al., 2019a). These cases account for less than 5 % in the cloud RES and 28 %-70 % in the cloud INT and cloud-free particles 2.3 Measurements of PM 2.5 and cloud water PM 2.5 samples were ultrasonically extracted with ultrapure water (resistivity: 18.2 M cm) for 30 min, then filtered by 0.22 µm polytetrafluoroethylene (PTFE) filters to obtain the PM 2.5 aqueous extract. The concentrations of water-soluble ions, water-soluble heavy metals, WSOC in PM 2.5 aqueous extract and cloud water samples were analyzed by ion chromatography (Metrohm 883 IC plus, Switzerland), inductively coupled plasma mass spectrometry (ICP-MS, Thermo Fisher, USA), and total organic carbon analyzer (TOC-V, Shimadzu, Japan), respectively. Parallel analyses showed that the relative standard deviation of each analysis was generally less than 15 %. The reported concentration data herein was after blank subtraction.
The light-absorption coefficient (Abs WSOC,λ ) of WSOC can be obtained (Hecobian et al., 2010) by the measurement of cloud water and PM 2.5 aqueous extract, with UV-Vis (UV1901, Kejie, China) Where A λ is the absorbance of the sample, A 700 is used to account for any drift; V l is the volume of ultrapure water used to extract the sample (for cloud water it is the total sample volume), V a is the volume of sampled air through the PTFE filter (for cloud water it is the total volume of sampled air), and L is the cuvette path length (0.01 m).
The AAE values describing the spectral dependence of WSOC light absorption can be further deduced by exponential fitting Abs WSOC,λ between 300-500 nm. The MAE WSOC,λ can be calculated by dividing Abs WSOC,λ by the mass concentration of WSOC (µg m −3 ). The E 250 /E 365 (the ratio of absorbance at 250 nm to that at 365 nm) is used to describe the humification of organic matter, which is inversely related to aromaticity and molecular weight of WSOC (Kristensen et al., 2015). Specific UV absorbance (SUVA, m 2 g −1 ) at 254 and 280 nm has been proved to be qualitatively related to the structural characteristics (aromaticity and molecular weight) of WSOC to a certain extent (Weishaar et al., 2003), which can be calculated using the following equation: where A is the absorbance of sample at 254 or 280 nm and C WSOC is the concentration of WSOC (mg L −1 ). The excitation-emission matrix fluorescence spectroscopy (EEMs) of PM 2.5 extract and cloud water was measured by a fluorescence spectrophotometer (F97pro, Lengguang, China). The sample blank was deducted before analysis, and the EEMs were normalized to the Raman units (R.U.) by using the Ramen peak (Ex = 350 nm, Em = 365-430 nm) of ultrapure water measured simultaneously with the sample (Lawaetz and Stedmon, 2009). Parallel factor (PARAFAC) analysis was performed on the acquired spectra with drEEM toolbox (version 0.3.0) based on MATLAB (Murphy et al., 2013). According to the outlier tests of PARAFAC, six samples with high leverage and high residual signals were removed in the modeling of PM 2.5 aqueous extract. The details for obtaining maximum fluorescence intensity (F max ), fluorescence index (FI), recent autochthonous contribution (BIX), and humification index (HIX) were described in Sect. S1 in the Supplement.

The optical properties of BrC during cloud events
The presence of BrC could be indicated by the AAE values derived from AE-33 data, which are 1.30 ± 0.12 for cloud-free, 1.36 ± 0.22 for cloud INT, and 1.32 ± 0.15 for cloud RES particles. The light-absorption coefficient of BrC at 370 nm (Abs 370 ) of cloud-free, cloud INT and cloud RES particles are 1.47 ± 1.23, 1.16 ± 1.14, and 0.25 ± 0.15 Mm −1 , respectively (Fig. 1), with the AAE values of BrC at 2.71 ± 0.69, 3.13 ± 0.97, and 2.76 ± 0.89, respectively. The contribution of BrC light absorption to the total particle light absorption in the cloud-free, cloud INT, and cloud RES particles shows no significant difference, on average decreasing from ∼ 23 % at 370 nm to ∼ 7 % at 660 nm, as shown in Fig. 2.
For the cloud water and PM 2.5 aqueous extracts, light absorption properties of WSOC at 365 nm are taken as the representative to those of water-soluble BrC (WS-BrC) in the present study. As expected, there is a positive correlation between Abs 365 and WSOC concentration in both cloud water and PM 2.5 aqueous extracts (r>0.61, p<0.01). As shown in Fig. 1, there is great difference in Abs 365 of WSOC in FREE-PM 2.5 , INT-PM 2.5 , cloud water-Day, and cloud water-Night, which are 0.49 ± 0.34, 0.27 ± 0.18, 0.09 ± 0.04, and 0.13 ± 0.10 Mm −1 , respectively. The Abs 365 of WSOC in PM 2.5 in this study is at the same magnitude as that of PM 10 in the Tibetan Plateau (Kirillova et al., 2016), and much lower than those in urban areas (3.4-33.9 Mm −1 , as summarized in Table S1) (Chen et al., 2018Huang et al., 2020;Kim et al., 2016). The AAE of WSOC has no significant difference among FREE-PM 2.5 , INT-PM 2.5 , cloud water-Day, and cloud water-Night, which are 6.01 ± 0.81, 5.37 ± 1.08, 5.81 ± 1.47, and 6.31 ± 1.51, respectively, within the reported range.
The MAE 365 of WSOC in FREE-PM 2.5 , INT-PM 2.5 , cloud water-Day, and cloud water-Night are 0.31 ± 0.17, 0.31 ± 0.26, 0.17 ± 0.07, and 0.17 ± 0.07 m 2 g −1 , respectively. The MAE 365 of WSOC in cloud water and PM 2.5 are much lower than those in urban and alpine areas, and various source emission samples (Table S1) (Chen et al., 2018Fan et al., 2016;Huang et al., 2020;Kim et al., 2016;Kirillova et al., 2016;Li et al., 2019;Park and Yu, 2016;Soleimanian et al., 2020;Wu et al., 2019). The MAE 365 of WSOC shows no significant difference between the FREE-PM 2.5 and INT-PM 2.5 , which is similar to the result observed in the Indo-Gangetic Plain (Choudhary et al., 2018), but their values are quite a bit higher, i.e., 1.6 and 1.8 m 2 g −1 for the INT-PM 1.0 and FREE-PM 1.0 , respectively. The MAE 365 of WSOC in cloud water (0.06-0.32 m 2 g −1 ) is slightly lower than the previously reported values in fog water (0.1-0.6 m 2 g −1 ) in California (Kaur and Anastasio, 2017). Both the MAE 365 of WSOC in cloud water and PM 2.5 show a positive correlation (r>0.84, p<0.01) with SUVA 254/280 , and a medium negative correlation (r>0.43, p<0.05) with E 250 /E 365 , which may indicate that a higher MAE 365 of WSOC has a higher aromatic and molecular weight; the aromaticity and molecular weight of WSOC may influence the light absorption capacity of cloud water and PM 2.5 (Fig. S3).
Although there are tight correlations between the Abs 370 for cloud water and the cloud RES particles, and for the INT-PM 2.5 and the cloud INT particles (Fig. 3, r>0.60, p<0.01), the Abs 370 of WSOC in cloud water (0.12 Mm −1 ) and INT-PM 2.5 (0.27 Mm −1 ) are considerably lower than those in the cloud RES (0.24 Mm −1 ) and cloud INT particles (1.08 Mm −1 ) that collected simultaneously. Such differences may be attributed to the contribution of water-insoluble or-  ganic carbon (WIOC). The different optical properties for the whole BrC and WS-BrC may also be reflected by the AAE values. They are generally in the range of 4-8 at 300-500 nm in cloud water and PM 2.5 , much higher than those for BrC (2-4) calculated from AE-33 data at 370-660 nm. The contribution of water-insoluble BrC to the light absorption is estimated to be ∼ 75 % for the cloud INT particles and ∼ 48 % for the cloud RES particles on average, based on these differences (Fig. 3). It is also noted that the light absorption of WIOC might still be underestimated by ∼ 16 % when sampling size is considered for the GCVI and cloud sampler (as discussed in Sect. S1). High contributions of WIOC to BrC light absorption have also been observed in the Indo-Gangetic Plain (77 %) (Satish et al., 2020), Beijing (62 %), and Xi'an (51 %) (Huang et al., 2020).  Figure 2 shows the contribution of secondary BrC to the total BrC in cloud-free, cloud INT, and cloud RES particles estimated by the MRS method; 11 %-16 % and 9 %-23 % of the total absorption of BrC come from the secondary BrC for the cloud-free and cloud INT particles, respectively. Only a slight difference was observed for the cloud-free and cloud INT particles, indicating that cloud processing may have limited influence on the cloud INT particles. It is noted that even during the cloud-free periods, RH was generally higher than 70 % (Fig. S1). The contribution of secondary BrC in cloud INT and cloud-free particles are in the low range of reported values (as summarized in Table S2) (Gao et al., 2022;Kaskaoutis et al., 2021;Lin et al., 2021;Q. Wang et al., 2019aQ. Wang et al., , b, 2020Zhang et al., 2020Zhang et al., , 2021Zhu et al., 2021).

The secondary contribution of BrC during cloud events
Differently, the contribution of secondarily formed BrC to the total BrC light absorption is 67 %-85 % in the cloud RES particles, which is surprisingly higher than those in the cloudfree and cloud INT particles. Such a high contribution may suggest how critical the role of cloud processing in the formation of BrC is. Compared with the relative contributions for the cloud-free and cloud INT particles, the importance of such a process in cloud droplets remarkably overrides that in cloud-free and cloud INT particles. The significance of secondary water-soluble BrC formation in cloud droplets may also be reflected by the significant correlation between the Abs 365 of cloud water and PM 2.5 aqueous extract with SNA (sulfate, nitrate, and ammonium) (r>0.77, p<0.01), and NO x (r>0.58, p<0.01), as shown in Fig. S4. The SNA and NO x concentrations are higher at night than in the daytime (Fig. S5), which is consistent with higher Abs 365 of cloud water at night. NO − 2 resulting from dissolved NO x can react with benzene and finally forms nitrophenol in the presence of UV-A (Harrison et al., 2005;Vione et al., 2004). Various of reactive oxygen and nitrogen species generated from the photolysis of inorganic nitrate in aqueous-phase could also facilitate the photooxidation of organic compounds to form BrC (Seinfeld and Pandis, 2016; and potentially contribute to the light absorption of cloud water (Desyaterik et al., 2013). In-cloud aqueous processes leading to more CHON compounds in cloud water than belowcloud atmospheric particles have also been observed (Boone et al., 2015). In addition, a comparison between the WSOM (WSOM = WSOC × 1.8) normalized by K + (as a primary source tracer) in cloud water and INT-PM 2.5 (Fig. S6) also clearly indicates the enhanced formation of WSOM in cloud water. It is consistent with that the light absorption of WSOC contributed more to the cloud RES (∼ 52 %) than the cloud INT (25 %) particles, as estimated in Fig. 3.
The source apportionment of BrC in cloud water (i.e., Abs 365 ) evaluated by the PMF model (see Supplement for data analysis and evaluation methods) also supports the critical role of aqueous processes on the formation of BrC, as shown in Fig. 4. Factor 1 is associated with relatively higher K + , NH + 4 , NO − 3 , SO 2− 4 , and C 2 O 2− 4 , contributing 64.3 % to WSOC and 86.9 % to Abs 365 . It may be appropriately recognized as a secondary product with contribution from biomass burning, as K + represents a tracer for biomass burning, and NH + 4 , NO − 3 , C 2 O 2− 4 , and SO 2− 4 are regarded as secondary species (Cheng et al., 2015;Wang et al., 2012). Note that C 2 O 2− 4 is generally considered as a tracer of aqueous-phase processes (Zhang et al., 2017b). As previously observed, the aqueous SOA formed from biomass burning might contributed to the BrC budget in fog water (Gilardoni et al., 2016). Factor 2 is characterized by high levels of crustal trace elements such as Mg 2+ , Ca 2+ , Mn, and Zn, and thus identified as crustal materials, contributing 21.9 % to WSOC and 8.7 % to Abs 365 . Factor 3 shows extremely high loading with Na + and relatively high Mg 2+ , Cl − , and Ni, which may originate from marine environments, contributing 13.8 % to WSOC and 4.4 % to Abs 365 .

Fluorescence properties of BrC in PM 2.5 and cloud water
The results from the EEMs measurements further indicate the different characteristics of WSOC and WS-BrC in PM 2.5 and cloud water. Based on the PARAFAC model calculation (Fig. 5), two independent fluorescence components (P1-P2) assigned as humic-like substances are found in PM 2.5 , whereas four independent fluorescence components (C1-C4) assigned as humic-like substances (C1-C3), and tyrosine-like and/or protein-like substances (C4) are found in cloud water (Catalá et al., 2015;Coble, 2007). The fluorescence components of cloud water are similar to those at Mt. Tai (Zhao et al., 2019) and in France (Bianco et al., 2016b), where humic-like and protein-like substances are the main chromophores in cloud water. Compared with PM 2.5 , tyrosine-like and/or protein-like substances are unique to cloud water in the present study, which may partly be due to their relative enrichment in cloud water (Kristensson et al., 2010;Zhang and Anastasio, 2003). In addition, the relative contribution of individual chromophores indicated by F max in PM 2.5 and cloud water also exhibits different characteristics, although humic-like substances are the dominant fluorescent fraction in both PM 2.5 and cloud water. The relative contribution shows no obvious difference between P1 and P2 components in PM 2.5 (FREE-PM 2.5 and INT-PM 2.5 ), whereas the C3 component contributes the most (40.0 %) to the fluorescent intensity in cloud water. Further analysis of the relationship between the fluorescent components (F max ) and the light absorption of WSOC (Abs 365 ) in PM 2.5 and cloud water shows significant positive correlations between F max of all fluorescent components with Abs 365 (r>0.63, p<0.01, see Fig. 5). It suggests that these fluorescent components are tightly linked to the light absorption of WSOC. The FI, BIX, and HIX of cloud water are 1.58 ± 0.22, 0.57 ± 0.09, and 4.99 ± 3.83, respectively, which indicates limited humified WSOC in cloud water, and also that it is less affected by microorganisms and local sources (Huguet et al., 2009;McKnight et al., 2001;Zsolnay et al., 1999). Therefore, it is most likely that the organic components in cloud water may be significantly affected by in-cloud aqueous formation, which is consistent with the PMF results. With respect to the secondary processes, humic-like substances may be formed through Maillard reaction involving carbonyls with ammonium or amines (Bones et al., 2010;Hawkins et al., 2016), and also the phototransformation of tyrosine (Berto et al., 2016).

Conclusions and implications
In the present study, the light-absorption properties of the cloud RES, cloud INT, and cloud-free particles were simultaneously investigated at a remote mountain site in southern China. Coupled with the measurements of light-absorption and fluorescence properties of WSOC in the collected cloud water and PM 2.5 , it is evident that in-cloud aqueous processing facilitates the formation of BrC (i.e., 67 %-85 % secondary BrC in cloud RES particles by the MSR method). As potential contributors to light absorption of BrC, only two fluorescence fractions of humic-like substances are found in PM 2.5 , whereas four fluorescence fractions (three types of humic-like substances and one type of tyrosine-like and/or protein-like substances) are identified in cloud water, most likely attributed to secondary production. While extensive laboratory evidence indicated the possible formation of BrC in aqueous phase (Hems et al., 2021), our study represents the first attempt to show the possibility under real cloud conditions. The results could support a previous hypothesis that in-cloud formation of BrC might contribute to the enhanced absorption coefficients ratio of BrC to BC in the attitude between 5-12 km (Zhang et al., 2017c). Such a process might also have potential implications for the lifecycle of BrC (Liu et al., 2020).
In order to evaluate the influence of BrC formation in the light-absorption properties of cloud water, the imaginary part of the refractive index for cloud water was calculated according to Gelencsér et al. (2003), as detailed in the Supplement Sect. S1. The average imaginary part of cloud water was 5.5 × 10 −8 at 365 nm (Fig. S7) and, ∼ 10 times that of pure water. The imaginary part (3.4 × 10 −8 at 475 nm) is a magnitude higher than previous laboratory simulation results (5.2 × 10 −9 at 475 nm), involving 3,5dihydroxy-benzoic acid reaction with FeCl 3 (Gelencsér et al., 2003). It should also be noted that it is the lowest estimation since only WSOC is included in the calculation. As previously indicated, the overall light absorption of WIOC cannot be negligible. According to the average MAE 550 and AAE of WSOC in cloud water and INT-PM 2.5 , the optical properties of BrC during cloud events could be classified as weakly absorptive BrC (Saleh, 2020). The measured optical properties and suggested in-cloud formation of BrC would help better understand the atmospheric evolution and the radiation forcing of BrC. Data availability. All the data can be obtained by contacting the corresponding author.
Author contributions. XB and GZ designed the research with input from DC, XW, and PP. ZG, XP, WS, XH, and YY collected and analyzed samples. ZG processed data when XH and YY gave constructive discussion. ZG wrote the manuscript, and XB, GZ, and YF interpreted data and edited the manuscript. XH, XP, and WS had an active role in supporting the sampling work. All authors contributed to the discussions of the results and refinement of the manuscript.
Competing interests. The contact author has declared that neither they nor their coauthors have any competing interests.
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