Atmospheric gaseous hydrochloric and hydrobromic acid in urban Beijing, China: detection, source identification and potential atmospheric impacts

Gaseous hydrochloric (HCl) and hydrobromic acid (HBr) are vital halogen species that play essential roles in tropospheric physicochemical processes. Yet, the majority of the current studies on these halogen species were conducted in marine or coastal areas. Detection and source identification of HCl and HBr in inland urban areas remain scarce, thus limiting the full understanding of halogen chemistry and potential atmospheric impacts in the environments with limited influence from the marine sources. Here, both gaseous HCl and HBr were concurrently measured in urban Beijing, China, during winter and early spring of 2019. We observed significant HCl and HBr concentrations ranging from a minimum value at 1× 108 molecules cm−3 (4 ppt) and 4× 107 molecules cm−3 (1 ppt) up to 6× 109 molecules cm−3 (222 ppt) and 1× 109 molecules cm−3 (37 ppt), respectively. The HCl and HBr concentrations are enhanced along with the increase of atmospheric temperature, UVB and levels of gaseous HNO3. Based on the air mass analysis and high correlations of HCl and HBr with the burning indicators (HCN and HCNO), gaseous HCl and HBr are found to be related to anthropogenic burning aerosols. The gas–particle partitioning may also play a dominant role in the elevated daytime HCl and HBr. During the daytime, the reactions of HCl and HBr with OH radicals lead to significant production of atomic Cl and Br, up to 2× 104 molecules cm−3 s−1 and 8× 104 molecules cm−3 s−1, respectively. The production rate of atomic Br (via HBr+OH) is 2–3 times higher Published by Copernicus Publications on behalf of the European Geosciences Union. 11438 X. Fan et al.: Atmospheric gaseous hydrochloric and hydrobromic acid in urban Beijing, China than that of atomic Cl (via HCl+OH), highlighting the potential importance of bromine chemistry in the urban area. On polluted days, the production rates of atomic Cl and Br are faster than those on clean days. Furthermore, our observations of elevated HCl and HBr may suggest an important recycling pathway of halogen species in inland megacities and may provide a plausible explanation for the widespread halogen chemistry, which could affect the atmospheric oxidation in China.

Abstract.Gaseous hydrochloric (HCl) and hydrobromic acid (HBr) are vital halogen species that play essential roles in tropospheric physicochemical processes.Yet, the majority of the current studies on these halogen species were conducted in marine or coastal areas.Detection and source identification of HCl and HBr in inland urban areas remain scarce, thus limiting the full understanding of halogen chemistry and potential atmospheric impacts in the environments with limited influence from the marine sources.Here, both gaseous HCl and HBr were concurrently measured in urban Beijing, China, during winter and early spring of 2019.We observed significant HCl and HBr concentrations ranging from a minimum value at 1 × 10 8 molecules cm −3 (4 ppt) and 4 × 10 7 molecules cm −3 (1 ppt) up to 6 × 10 9 molecules cm −3 (222 ppt) and 1 × 10 9 molecules cm −3 (37 ppt), respectively.The HCl and HBr concentrations are enhanced along with the increase of atmospheric temperature, UVB and levels of gaseous HNO 3 .Based on the air mass analysis and high correlations of HCl and HBr with the burning indicators (HCN and HCNO), gaseous HCl and HBr are found to be related to anthropogenic burning aerosols.The gas-particle partitioning may also play a dominant role in the elevated daytime HCl and HBr.During the daytime, the reactions of HCl and HBr with OH radicals lead to significant production of atomic Cl and Br, up to 2 × 10 4 molecules cm −3 s −1 and 8 × 10 4 molecules cm −3 s −1 , respectively.The production rate of atomic Br (via HBr + OH) is 2-3 times higher

Introduction
Tropospheric halogen chemistry plays a variety of roles in perturbing the fate of chemical compositions, including ozone (O 3 ) and volatile organic compounds (VOCs) in the troposphere (Saiz-Lopez and von Glasow, 2012;Simpson et al., 2015;Artiglia et al., 2017).Halogen radicals, in particular atomic chlorine (Cl q ) and bromine (Br q ), can deplete the O 3 , react rapidly with VOCs with reaction rates of up to 2 orders of magnitude faster than those of the hydroxyl radical (OH) reaction with VOCs and accelerate the depletion of gaseous elemental mercury (Atkinson et al., 2007;Calvert and Lindberg, 2004).Significant halogen-induced O 3 reduction of about 10 % of the annually averaged tropospheric ozone column was reported over the tropical marine boundary layer (Saiz-Lopez et al., 2012).However, in polluted coastal regions with high NO x , the coupling between halogen chemistry and NO x chemistry contributes to a significant enhancement of ozone production of up to 7 ppb (parts per billion by volume) (Li et al., 2020;Sherwen et al., 2017;Sarwar et al., 2014).Besides affecting the ozone chemistry, the oxidation processes of VOCs by halogen radicals can potentially lead to secondary aerosol production.Wang and Ruiz (2017) demonstrated that the chlorine-initiated oxidation of isoprene contributed to the formation of particulate organochloride and the yield of secondary organic aerosol (SOA) ranged from 7 % to 36 %.A recent study also found that the oxidation of α-pinene by chlorine atoms yields lowvolatility organic compounds, which are essential precursors for secondary particle formation and growth (Wang et al., 2020).
It is known that sea salt particles are a major source of atomic halogens in the marine environment.Chloride (Cl − ) and bromide (Br − ) in sea salt particles can be displaced by strong acids (i.e., nitric acid (HNO 3 ) and sulfuric acid (H 2 SO 4 )) to release gas-phase hydrogen halides HX (Reaction R1; X = Cl or Br) into the atmosphere (Gard et al., 1998;Thornton et al., 2010).The HX then can react with an OH radical to form a X q via Reaction (R2).
On the other hand, the heterogeneous uptake of dinitrogen pentoxide (N 2 O 5 ) onto sea salt particles can form nitryl halides XNO 2 via Reaction (R3) (Finlayson-Pitts et al., 1989;Osthoff et al., 2008;Tham et al., 2014), which is a reservoir of halogen during the nighttime.At sunrise, the XNO 2 undergoes rapid photolysis to liberate highly reactive halogen atom (X q ), which subsequently reacts with VOCs to produce HX and peroxy radicals (RO 2 ; Reactions R4 and R5).In addition, the heterogeneous oxidation of Br − by O 3 at the aqueous phase-vapor interface can lead to the formation of a precomplex intermediate (Br q OOO − ), which contributes to the formation of atmospheric HOBr (Artiglia et al., 2017).
The atmospheric lifetimes of hydrochloric (HCl) and hydrobromic acid (HBr) due to Reaction (R2) are approximately 35.6 and 2.5 h (when OH = 1 × 10 7 molecules cm −3 ), respectively, making them a significant daytime recycling source of atomic halogen in the marine atmosphere.Riedel et al. (2012) showed that the reaction of HCl with OH accounts for about 45 % of the integrated Cl atom production over the entire day along the Santa Monica Bay of Los Angeles (Riedel et al., 2012).Another shipborne study reported that the Cl atom production rate peaks at 3 × 10 5 molecules cm −3 s −1 during the noontime in southern coastal California (Crisp et al., 2014).The produced HCl and HBr can also end up in particle phase during the nighttime (Chen et al., 2016;Roberts et al., 2019;Crisp et al., 2014), further promoting the heterogeneous reaction of N 2 O 5 (Reaction R3).The discovery of Thornton et al. (2010) has changed the paradigm of halogen chemistry, where it was thought to be restricted to the marine environment (Thornton et al., 2010).A significant source of atomic chlorine from the heterogeneous reaction of N 2 O 5 onto chloride aerosol (Reaction R3) was observed in Boulder, United States, which is 1400 km from the nearest coastline, indicating that active chlorine chemistry also occurs in regions far from the ocean (Thornton et al., 2010).Follow-up studies have confirmed the presence of halogen activation spreading over the continental regions of North America, Canada, Europe and Asia (Mielke et al., 2011;Phillips et al., 2012;Riedel et al., 2013;Tham et al., 2016;Wang et al., 2017;Tham et al., 2018;Liu et al., 2017;Xia et al., 2020;Zhou et al., 2018;McNamara et al., 2020).These findings suggest the crucial role of HCl gas-particle partitioning in sustaining the aerosol chloride concentrations in continental regions for Reaction (R3) to take place (Brown and Stutz, 2012).
On the global scale, sea salt sprays were estimated to be the dominant source of halogens such as Cl and Br (X.Wang et al., 2019;Keene et al., 1999).Through acid displacement and other heterogeneous processes, 64 and 6.2 Tg a −1 gasphase inorganic Cl and Br from sea salt were emitted to the troposphere, while anthropogenic emissions such as biomass burning, fossil combustion and incineration were supposed to be minor on a global scale (X.Wang et al., 2019;Keene et al., 1999).For the emissions of Cl, anthropogenic emissions were quite crucial for both gaseous and particulate Cl in the urban environment and heavily polluted areas.For example, the anthropogenic emissions for gaseous HCl and particulate Cl were 458 and 486 Gg in 2014 in China, of which biomass burning is the largest contributor (Fu et al., 2018).Many recent field studies reported elevated ClNO 2 and particulate chloride concentrations in the plumes influenced by biomass burning and coal-fired power plants, suggesting they could be the driving force for the Cl activation process in continental areas (Riedel et al., 2013;Tham et al., 2016;Wang et al., 2017;Liu et al., 2017;Yang et al., 2018).Furthermore, Bannan et al. (2019) showed that ClNO 2 is consistently formed at a landfill site in London, highlighting the potential contribution from landfill emissions of Cl in promoting Reactions (R3) and (R4) (Bannan et al., 2019).Other possible anthropogenic Cl sources include the emissions from industry and water and sewage treatment plants (Hara et al., 1989;Graedel and Keene, 1995;Thornton et al., 2010).During the wintertime, the use of road salt could also be a dominant source of atmospheric Cl in city areas (McNamara et al., 2020).
Atmospheric bromine is much less abundant than chlorine in the stratosphere, with concentrations of around 25 ppt (parts per trillion by volume) compared to 3.7 ppb of chlorine (Bedjanian and Poulet, 2003;Rotermund et al., 2021).HBr is known as a principal bromine sink species for ozone loss chemistry in the stratosphere, showing an average concentration of 1.3 ± 0.39 ppt between 20.0 and 36.5 km altitude (Bedjanian and Poulet, 2003;Nolt et al., 1997;Yang et al., 2005), and also one of the dominant inorganic bromine species in the marine boundary layer, free troposphere and tropical tropopause layer as well (Fernandez et al., 2014;Glasow and Crutzen, 2014;Nolt et al., 1997;Bedjanian and Poulet, 2003).In the urban environment, atmospheric Br was previously known to be strongly affected by traffic emissions since ethylene dibromide (C 2 H 4 Br 2 ) used to be used as an anti-knock compound in leaded gasoline (Glasow and Crutzen, 2014).Yet, since the phasing out of leaded gasoline, long-term atmospheric Br has exhibited a continuous decreasing trend for 2 to 3 decades in Germany (Lammel et al., 2002), and a similar situation is expected in Beijing as the usage of leaded gasoline was banned from the years around the 2000s in China (Cai et al., 2017).
Despite the advances in the understanding of concentrations and sources of global halogen species, atmospheric gaseous HCl and HBr in the continental and especially urban environments are much less studied.Some limited studies focused on atmospheric HCl; for example, Crisp et al. (2014) summarized that the concentration of HCl is typically less than 1 ppb over the continental regions, and McNamara et al. (2020) measured the concentration of HCl to be around 100 ppt from inland sources, while an airborne measurement showed HCl concentrations of around 100 ppt to be typically observed over the land area of the northeast United States, except near power plant plumes with concentrations over 1 ppb (Crisp et al., 2014;McNamara et al., 2020;Haskins et al., 2018).Furthermore, much less information is available on the presence of HBr in the continental environment.Until very recently, an airborne measurement detected significant levels of gas-phase reactive bromine species in the exhaust of coal-fired power plants (Lee et al., 2018).Therefore, the measurement of gas-phase HCl and HBr in inland urban environments is necessary to fully assess their effects on the tropospheric chemistry, such as gas-particle partitioning effects on the particulate halide concentrations that can undergo rapid activation via Reaction (R3).These would be more important in polluted regions such as the North China Plain, where Beijing is located and a large amount of chloride is emitted to the atmosphere (Tham et al., 2016;Zhou et al., 2018;Fu et al., 2018).
In this study, we deployed a chemical ionizationatmospheric pressure interface-long-time-of-flight mass spectrometer (CI-APi-LTOF) to measure the atmospheric gas-phase HCl and HBr from 1 February to 31 March 2019, in urban Beijing, China.To the best of our knowledge, it is the first time a simultaneous measurement of HCl and HBr is presented with high time resolution in urban Beijing.In addition, we identify the potential source that contributed to the high levels of gaseous HCl and HBr during wintertime and early springtime.In addition, we estimate the contribution of gaseous HCl and HBr to the production rates of atomic Cl and Br in urban Beijing.

Sampling site
The field measurements were conducted at Beijing University of Chemical Technology (BUCT) monitoring station (39.94 • N, 116.30 • E), located in an urban area of Beijing, China (Fig. 1); the nearest coastline is located about 150 km away in the southeast.The sampling site is about 130 m north of the Zizhuyuan Road and 550 m west of the West Third Ring Road, which is one of the main roads in Beijing.Besides the effect of traffic, this site is also surrounded by local commercial properties and residential dwellings.Thus, the BUCT sampling site can be regarded as a typical urban site.More information about this sampling site can be found in previous studies (Cai et al., 2020;Kontkanen et al., 2020;Zhou et al., 2020;Chu et al., 2021)

CI-APi-LTOF mass spectrometer
The working principle of CI-APi-LTOF (Aerodyne Research Inc. and Tofwerk AG) has been described elsewhere (Yao et al., 2020;Eisele and Tanner, 1993;Yao et al., 2018); therefore only details relevant to this present work are discussed here.A typical mass spectrum during our field measurement is depicted in Fig. S1.The dominant reagent ions were nitrate ions (NO − 3 , and HNO 3 q NO − 3 ) and nitrite ions (NO − 2 ).Among them, nitrate ions were generated by exposure of sheath flow (pure air with RH ∼ 5 %), which carried gaseous HNO 3 .Besides the nitrate ions that acted as dominate reagent ions, nitrite ions were formed from the reaction of a small amount of NO 2 (∼ 1 ppb) in the sheath flow with O − 2 and OH − , which were generated from the exposure of sheath flow (pure air with RH ∼ 5 %) to an X-ray source (Hamamatsu L9491) (Fig. S5) (Arnold et al., 1995;Skalny et al., 2004).Considering nitrate ions were still the dominant reagent ions (Fig. S1), the CI-APi-LTOF was actually operated as a typical nitrate-CI-APi-LTOF.
Ambient air was drawn into the CI inlet through a 0.75 in.stainless steel tube with a flow of ∼ 8 L min −1 .A small mixed flow (∼ 0.8 L min −1 controlled by a critical orifice with 300 µm diameter) entered the APi-LTOF and was analyzed.The CI-APi-LTOF was operated in the negative Vmode with a mass resolving power of ∼ 10 000 Th/Th and a mass accuracy better than 5 ppm.Data of CI-APi-LTOF were acquired with 5 s time resolution, and the recorded data were further analyzed with the MATLAB tofTools package (Junninen et al., 2010).

Detection and quantification of HCl and HBr
From Table 1, it can be seen that the gas-phase acidity (− G) of HCl is 1354 kJ mol −1 , which is larger than that of HNO 3 (1329 kJ mol −1 ).In addition, the enthalpy ( H) of HNO 3 and Cl − is 32.8 kcal mol −1 , which is higher than that of HCl and NO − 3 (22.9kcal mol −1 ), hinting that the reaction of HCl and NO − 3 was unlikely to occur (Fig. S4a).Additionally, a previous study showed that the reaction rate (<10 −12 molecules cm −3 s −1 ) between NO − 3 and HCl was significantly less than that (1.4 × 10 −9 molecules cm −3 s −1 ) of NO − 2 with HCl (Ferguson et al., 1972).Therefore, the HCl is likely mainly charged by NO − 2 instead of NO − 3 to result in Cl − formation.The ion-molecule reaction between nitrite ions and HCl can be written as follows (Ferguson et al., 1972): In addition to NO − 2 , HCl can also react with O − 2 , leading to Cl − formation via Reaction (R7).
Therefore, HCl can be quantified according to where C HCl (in units of molecules cm −3 ) is a calibration coefficient of HCl.(Cl − ), (NO − 2 ) and (O − 2 ) represent the signals of Cl − , NO − 2 and O − 2 from CI-APi-LTOF, respectively.Based on ambient data, a very small fraction (less than 5 %) of Cl − (or HCl) would react with HNO 3 (or NO − 3 ) in the sheath flow to form Cl − q HNO 3 (or HCl q NO − 3 ).Thus, the signals of Cl − q HNO 3 (or HCl q NO − 3 ) were not taken into account for HCl quantification.The background measurement was carried out by sampling zero air. Figure S7 shows that the background signals were significantly lower than those of ambient air and injected HCl and HBr.The limits of detection (LODs, 3σ ) were 1 × 10 8 and 1 × 10 7 molecules cm −3 (i.e., 4 and 0.5 ppt) for HCl and HBr, respectively.Using 4 d synchronous gaseous HCl concentrations measured by the Monitor for AeRosols and Gases in Ambient air (MARGA; Metrohm Inc., Switzerland), an indirect calibration was adopted to quantify the HCl measured by the CI-APi-LTOF (Sect.S5 in the Supplement).The obtained calibration factor C HCl for HCl is 3 ± 0.1 × 10 12 molecules cm −3 (Fig. S8b), and an uncertainty of ±30 % (Sect.S5) was applied to the reported HCl concentrations.Similar to HCl, the same uncertainty was also adopted for HBr mixing ratios.It should be noted that our assumptions lead towards a semi-quantitative estimation of HBr concentrations, due to other potential uncertainties (e.g., different sensitivities of HCl and HBr) not being taken into account.
On the basis of − G of HBr, HNO 3 , HNO 2 and HO 2 and the enthalpy ( H) calculations (Table 1, Figs. 2 and  S4), besides the reaction with NO − 2 and O − 2 , similar to HCl, some HBr could also react with NO − 3 to form Br − via Reaction (R8) (Ferguson et al., 1972).
Hence, HBr should be quantified according to where C HBr (in units of molecules cm −3 ) is a calibration coefficient of HBr.(Br − ), (NO − 2 ), (O − 2 ) and (NO − 3 ) represent the signals of Br − , NO − 2 , O − 2 and NO − 3 from CI-APi-LTOF, respectively.However, as direct calibration for HBr was not available, the calibration coefficient of HCl (C HCl ) was utilized to semi-quantify HBr based on the following equation: Since the enthalpies ( H) of HBr q NO − 3 formed by HBr with NO − 3 (27.3kcal mol −1 ) and Br − with HNO 3  (27.9kcal mol −1 ) were very close to each other (Fig. S4b), it was difficult to quantify the specific contribution to Br − from the reaction of HBr with NO − 3 .Also, the ratios of Br − q HNO 3 (or HBr q NO − 3 ) to Br − were less than 4 %.Therefore, in Eq. (3), the reaction pathway of HBr with NO − 3 was not considered.The presented HBr concentrations should be treated as semi-quantitative ones.
To confirm these ion-molecule reactions, high concentrations (undetermined) of gaseous HCl and HBr were mixed with zero air generated from a zero-air generator (Aadco 737) and then measured by CI-APi-LTOF (Sect.S4).After the injection of HCl and HBr, the signals of Cl − , Br − , Cl − q HNO 3 (or HCl q NO − 3 ) and Br − q HNO 3 (or HBr q NO − 3 ) started to increase (Fig. S7), confirming that HCl and HBr can be detected as Cl − , Br − , Cl − q HNO 3 and Br − q HNO 3 by CI-APi-LTOF.

Other auxiliary measurements
Gaseous HCN and HCNO can also be detected by O − 2 through the ion-molecule reactions as follows: The − G values of HCN and HCNO are 1433 and 1415 kJ mol −1 , respectively, which are higher than the value of NO − 2 (1393 kJ mol −1 ) (Table 1) and lower than that of O − The meteorological parameters, including temperature and UVB intensities, were recorded by a weather station (Vaisala Inc., Finland).NO 2 was measured with a Thermo 42i NO-NO 2 -NO x analyzer (Thermal Environment Instruments Inc. USA).The mass concentrations of particulate chlorine and black carbon (BC) in PM 2.5 were measured by a timeof-flight aerosol chemical speciation monitor (ToF-ACSM, Aerodyne Research Inc., USA) and an aethalometer (AE33, Magee Inc., USA), respectively (Sect.S1 in the Supplement).
Meanwhile, we applied 24 h air mass back trajectory and potential source contribution function (PSCF) analyses to help elucidate the potential source regions (i.e., air masses) of high levels of HCl and HBr.The detailed descriptions of PSCF and air mass trajectory analysis are described in the Supplement (Sect.S6) and previous literature (Wang, 2014;Y. Q. Wang, 2019).It is noted that the lifetime of gaseous HCl and HBr could be shorter than the length of the air mass trajectories.These analyses mainly aimed to point out the source regions of pollutant air masses that brought high levels of Cl and Br rather than the real-time origins of air parcels.
3 Results and discussions

HCl and HBr measurement
Figure 3 shows the time series of gaseous HCl and HBr, temperature (T ) and ultraviolet radiation b (UVB, 280-315 nm) intensities for the entire measurement period in winter and early spring of 2019 (February to April).High concentrations of HCl and HBr were observed for the whole measurement period, with a clear diurnal variation (Fig. 3g).The mean concentrations of HCl and HBr are 1 × 10 9 molecules cm −3 (37 ppt) and 2 × 10 8 molecules cm −3 (7 ppt), respectively.The maximum concentrations reach up to 6 × 10 9 molecules cm −3 (222 ppt) for HCl and 1 × 10 9 molecules cm −3 (37 ppt) for HBr during the daytime.The concentrations of HCl and HBr showed a similar change in atmospheric temperature and UVB.For the first period of measurement (from 1 to 15 February), HCl and HBr concentrations are lower when the atmospheric temperature is close to 0 • and the UVB intensities are relatively low.Yet, for the later period of March, the HCl and HBr concentrations begin to increase, along with the rising of temperature and UVB.In late March, even with higher temperature, due to the lower abundance of HNO 3 and particulate chloride, the HCl and HBr concentrations remain at a relatively low level (Fig. 3).
The diurnal cycles of HCl and HBr are depicted in Fig. 4a  and b, respectively.The HCl concentrations are typically higher than HBr by approximately an order of magnitude; nevertheless, the diel patterns showed by these two species are quite similar to each other.It is noticed that both HCl and HBr began to increase after sunrise, and a relatively high concentration was observed during the daytime (08:00 to 17:00).From Fig. 4d, it also can be found that elevated HCl is associated with high temperature and [NO 2 ] × [OH] value during the daytime.The reaction of NO 2 with the OH radical being one of the dominant formation pathways of gaseous HNO 3 during the daytime (Stavrakou et al., 2013) implies that strong photochemical reactions and the following potential elevated HNO 3 could intensify the HCl release from particulate chloride in the daytime from 08:00 to 17:00.The OH radical concentrations were calculated using J O1D (Sect.S8).This phenomenon is consistent with our observation results above where the increase of temperature and UVB could reinforce the formation of chemicals (e.g., HNO 3 ) that promote the gas-particle partitioning or directly increase the gas-phase formation rate of HCl and HBr (Crisp et al., 2014;Riedel et al., 2012), thus further enhancing the HCl and HBr (Fig. 3).Although there is no direct measurement of particulate bromide (Br), considering the similarity in diurnal patterns and good correlation (r = 0.70) between HBr and HCl (Fig. 4c) and HBr tracking well with the temperature and [NO 2 ] × [OH] (see Fig. 3), it is rational to suppose HBr also predominantly derived from the gas-particle partitioning process.The contribution by the reaction of bromine atoms with hydrocarbons to form HBr is likely not the dom- inant pathway as the bromine atom is less reactive to hydrocarbons compared to the chlorine atom and most often reacts with ozone (Simpson et al., 2015).
Our observation of daily averaged mass concentrations of particulate chloride (Cl (p)) in PM 2.5 showed a similar trend with daily averaged mixing ratios of gaseous HCl (Fig. 5a).The difference from the ratios of HCl(g) to Cl(p) in February and March is likely due to the higher temperature in March (Figs. 3 and 5a).In contrast, the diurnal variations of HCl and particulate Cl showed the opposite trend at daytime from 08:00 to 17:00 (Fig. 5b).The mole ratios of HCl(g) to Cl(p) ranged from <0.1 at nighttime and early morning to >0.3 in the afternoon (Fig. 5b).The enhancement of HCl(g)/Cl(p) during the noontime is due to the large increase of gaseous HCl.It also suggests that the higher temperature and stronger photochemical reactions during the daytime would strongly influence HCl release from particulate chloride in Beijing, which will be further discussed in the following sections.During the period between the late afternoon and midnight, the increase of Cl(p) and HCl(g) could be explained by the higher nighttime emissions of residential combustion such as wood and coal burning in Beijing (Hu et al., 2017;Sun et al., 2016), and the high abundance of gaseous HNO 3 is attributed to efficient nocturnal N 2 O 5 chemistry (Tham et al., 2018).
These observations showed that there is an abundance of gaseous HCl and HBr in the polluted urban environment.To our best of knowledge, this is the first concurrent observation of gaseous HCl and HBr in a polluted inland urban atmosphere.Although it is well known that the HCl is abundant in the polluted coastal and inland regions, previous studies show that the typical HCl mixing ratios over the continental urban areas are less than 1 ppb (Crisp et al., 2014;Faxon and Allen, 2013;Le Breton et al., 2018;McNamara et al., 2020), which are similar to our observations at Beijing.In contrast, the presence of gaseous HBr in the urban regions is unknown prior to our observation.The significant concentration of HBr in the urban atmosphere of Beijing is even comparable to the simulated concentrations in the marine environment, where concentration up to 2 ppt was reported (Fernandez et al., 2014).These elevated HCl and HBr in urban Beijing may point to the existence of Cl and Br sources in this region.

Source identification
The natural sources of atmospheric Cl and Br include sea salt spray, wildfires and volcano emissions, while the anthropogenic emissions include coal combustion and traffic emissions, as well as other industries such as pesticides, battery industry and waste incineration (Simpson et al., 2015).Compared with the sources of particulate Cl and Br that are widely studied and identified in previous literature, the origins of gaseous HCl and HBr are much less studied, due to https://doi.org/10.5194/acp-21-11437-2021Atmos.Chem.Phys., 21, 11437-11452, 2021  their much shorter lifetime in the troposphere (Simpson et al., 2015).
According to air mass analysis (24 h back-trajectory) for HCl and HBr during February and March (Fig. 6a and b), the potential source regions of the selected periods with highlevel concentrations of HCl (above 75 % percentile) were located in the south of the North China Plain, such as the south of Hebei province, where heavy residential coal, biomass burning and industry emissions occurred (Fu et al., 2018).These figures further suggest that the high concentrations of HCl seemed not to be strongly affected by marine regions during our sampling period.Instead, the good correlation (r = 0.67) between hourly particulate Cl and BC together with the similar trend between particulate Cl and HCl suggested that HCl is likely to have the same original sources with particulate Cl and black carbon (BC) in PM 2.5 rather than marine sources (Figs.5a and S10a).Hydrocyanic acid (HCN) and isocyanic acid (HCNO) were typically regarded as tracers for burning emissions, especially in the biomass burning process (Vigouroux et al., 2012;Adachi et al., 2019;Leslie et al., 2019;Wren et al., 2018;Priestley et al., 2018).Although a recent study showed that HCNO came from both primary emissions and secondary formation in the scale of the North China Plain (NCP) during the daytime (Wang et al., 2020), the high correlations between HCN and HCNO (daytime, 08:00-17:00, r = 0.94 and nighttime, 18:00-07:00, r = 0.96) indicated that in urban Beijing, HCN and HCNO are mainly from primary emission (Fig. 7c and  d) and can be regarded as the tracers of combustion emissions.Thus, high correlations of measured gaseous HCl with HCN (r = 0.83) and HCNO (r = 0.90) further suggested that the HCl during our sampling period was more likely coming from combustion origins rather than marine sources in urban Beijing (Fig. 7a and b).Since gaseous HCl could be affected by both emissions and gas-particle partitioning (shown in Fig. 4d), we compared the daily concentrations of gaseous HCl and particulate Cl to minimize the influence of temperature and partitioning.The daily averaged HCl concentration had a high correlation with daily averaged particulate Cl (r = 0.84 and 0.70 for winter and early spring periods, respectively) and BC concentration (r = 0.82), which is consistent with previous studies that particulate Cl, coal combustion organic aerosol (CCOA) and BC were highly correlated and likely to be from the same source in winter and early spring in Beijing (Hu et al., 2017(Hu et al., , 2016)).
Similar to HCl, the potential source regions for high Br concentrations were also located in the inland, demonstrating marine sources might not be the dominant source for gaseous HBr in winter of Beijing (Fig. 6b).The ratio of particulate Br / Na from previous literature in Beijing was 0.04 (He et al., 2001), which was much higher than the ratios from seawater (0.018) and crustal dust (0.0006 to 0.0008) but much closer to the ratios of biomass burning aerosols (0.01 to 0.06) (Sander et al., 2003).As discussed before, the good correlation (r = 0.70) between gaseous HCl and HBr also implied their similar origins.In our study, moderate correlation coefficients were also observed between gaseous HBr and combustion tracers such as HCN, HCNO (0.63 and 0.62, respectively) and daily BC (r = 0.60) (Figs. 7a,b and S10b).Multiple gaseous organic and inorganic Br compounds such as CH 3 Br, Br 2 , BrNO 2 , BrCl, CH 3 Br and CH 2 Br 2 were also observed in different combustion processes such as biomass burning, coal combustions and waste incineration in previous studies, further supporting the possibilities of combustion origins of the gaseous HBr in this study (Lee et al., 2018;Keene et al., 1999;Manö and Andreae, 1994).A recent airborne observation conducted in the United States found that high levels of reactive inorganic Br species in the plume from a coal power plant, likely due to the application of calcium bromide as additives in coal fuel (Lee et al., 2018).Taking these observations together, in urban Beijing, the measured HBr was more likely coming from combustion sources such as biomass burning and coal combustion in the south of Beijing rather than marine sources.It is also interesting to note that in a previous marine study conducted in Oahu, Hawaii, gaseous Br was found to be 4 to 10 times higher than particulate Br (Moyers and Duce, 1972).On the other hand, from a previous observation conducted in urban Beijing, high levels of both gaseous (7 ng m −3 ) and particulate (in total suspended particles (TSP), 18 ng m −3 ) bromine were measured by an offline sampling-organic solvent extraction and instrumental neutron activation analysis (INAA) method (Tian et al., 2005).Considering the high concentration and reactivity of Br, gaseous Br from anthropogenic sources may play a more critical role in the urban atmosphere.

Halogen-atom production
To investigate the potential atmospheric implications of HCl and HBr on atmospheric oxidation capacity, we calculated the production rate of atomic Cl (P Cl q) and Br (P Br q) via the reactions of HCl and HBr with OH radicals.Figure 8 shows the time series of P Cl q and P Br q and the estimated diel concentration of OH calculated from the photolysis rate (J O1D ) (Sect.S8).Note that the estimated peak concentrations of OH radicals varied between ∼ 3 × 10 5 and ∼ 4 × 10 6 molecules cm −3 during noontime.The reaction of HCl with OH radicals led to a mean Cl atom production rate of 3 × 10 3 molecules cm −3 s −1 during daytime from 08:00 to 17:00 (Fig. 8c).These rates fall within the range of Cl atom production rates (∼ 10 3 to 10 6 molecules cm −3 s −1 ) reported in polluted environments (Crisp et al., 2014;Hoffmann et al., 2018;McNamara et al., 2020).The reaction of HBr with OH is estimated to produce a daytime mean of 8 × 10 3 molecules cm −3 s −1 of the Br atom (Fig. 8c).This result shows that in addition to the Cl atom, the Br atom could also be present in urban Beijing and may be as important as the Cl atom in terms of reaction with OH, since the P Br q is about 2-3 times faster than the P Cl q (Fig. 8c).The average HCl and HBr concentrations were observed to be higher during the polluted days (daily mean PM 2.5 ≥ 75 µg m −3 ), about 2-3 times higher than the clean days (daily mean PM 2.5 < 75 µg m −3 ), as shown in Fig. 8b.Consequently, the radical production rate also showed a difference between clean and polluted days (Fig. 8d).The mean diurnal pattern shows that the values of P Cl (up to 8 × 10 3 molecules cm −3 s −1 ) and P Br (up to 2 × 10 4 molecules cm −3 s −1 ) on polluted days were both higher than those on clean days by up to 2 times (Fig. 8d).This hints that the roles of HCl and HBr may be more significant in polluted environments.Recent studies in several polluted sites of China suggested that the photolysis of ClNO 2 and Cl 2 is the dominant daytime Cl atom source, leading to a Cl atom production rate of up to 8 × 10 6 molecules cm −3 s −1 (Tham    Despite the lower production rate, the reaction of HCl with OH may also act as an important recycling process of the Cl atom, which ultimately enhanced the atmospheric oxidation capacity (Riedel et al., 2012).Analogous to chlorine chemistry, the reaction of HBr with OH could be a significant source of the Br atom in the daytime, although rapid photolysis of Br 2 and BrNO 2 is believed to be the major Br atom source in a polluted urban environment as ubiquitous bromine species (e.g., Br 2 , BrCl and BrNO 2 ) have been previously observed in residential coal burning and coal-fired power plant plumes (Lee et al., 2018;Peng et al., 2020).

Conclusions
In conclusion, we present the first concurrent measurement of both gaseous HCl and HBr in urban Beijing, a megacity with strong anthropogenic emissions in the North China Plain.Our observation surprisingly shows significant concentrations of HBr in urban Beijing, together with the elevated levels of HCl, throughout the winter and spring during our sampling period.Gaseous HCl and HBr are most likely originated from anthropogenic emissions such as burning ac-tivities (e.g., biomass burning and fossil fuel combustion) in the inland region rather than marine sources.In addition, the gas-particle partitioning may play a crucial role in contributing to elevated levels of HCl and HBr in urban Beijing.On polluted days, the concentrations of HCl and HBr are higher than those on clean days.The abundance of HCl and HBr in the polluted urban troposphere may further influence the photochemistry of the atmosphere through the following two aspects: (1) direct contributions to the production of highly reactive halogen atom (e.g., Cl q and Br q ), which can rapidly oxidize VOCs (Reaction R5); and (2) replenishment of the halide ion (Cl − and Br − ) in the aerosols, supporting the nocturnal heterogeneous production of ClNO 2 and BrNO 2 , which are major sources of highly reactive halogen atom at sunrise (Reactions R3 and R4).Our observation of elevated HCl and HBr may indicate an important recycling pathway of Cl and Br species and may provide a plausible explanation for the recent observations of widespread halogen activation in polluted areas of China (e.g., Tham et al., 2016;Zhou et al., 2018;Xia et al., 2020;Peng et al., 2020), which could have a significant influence on the atmospheric oxidation capacity and secondary aerosol formation.The atomic Cl and Br on polluted days might contribute to oxidation capacity to a greater extent than on clean days.Furthermore, additional insight into the HBr levels in Beijing shows that bromine chemistry, a previously neglected chemistry, may be https://doi.org/10.5194/acp-21-11437-2021Atmos.Chem.Phys., 21,[11437][11438][11439][11440][11441][11442][11443][11444][11445][11446][11447][11448][11449][11450][11451][11452]2021 important in inland megacities of China.Our results also suggest that understanding of gaseous HCl and HBr would be of much importance to photochemistry studies, as well as air quality improvement in urban areas of China.
Code and data availability.All data related to this study can be obtained from the corresponding authors (Lei Yao and Yee Jun Tham) via email.
Author contributions.LY and YJT designed the research.XF, LY, YJT, JC, CY, YG, CL, KRD, FZ, ZL, BC, YW, LD, WD, JK, JTK, JZ, QZ, TK, SI, TP, DRW, VMK, YL, FB and MK carried out the observation, analyzed the data and interpreted the results.SI and TK provided quantum calculation results.XF, LY, YJT and JC prepared the manuscript with contributions from all co-authors.
Competing interests.The authors declare that they have no conflict of interest.
Disclaimer.Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Special issue statement.This article is part of the special issue "Pan-Eurasian Experiment (PEEX) -Part II".It is not associated with a conference.

Figure 1 .
Figure 1.The location of BUCT measurement station.The terrain and satellite maps were revised from © Google Maps.

Figure 2 .
Figure 2. The calculated enthalpies of HCl q NO − 2 formed by HCl with NO − 2 and Cl − with HNO 2 and enthalpies of HBr q NO − 2 formed by HBr with NO − 2 and Br − with HNO 2 at the DLPNO-CCSD(T)/def2-QZVPP// ωB97X-D/aug-cc-pVTZ-PP level of theory.

Figure 4 .
Figure 4. Diurnal variations of UVB intensities, HCl and HBr concentrations (averaged values ± one standard deviation) (a, b) and the correlation between HCl and HBr (c).Temperature dependence of gas-particle partitioning ratios of mass concentration of chloride, colorcoded by [NO 2 ] × [OH], which indicates the abundance of HNO 3 in the daytime (d).In panel (c) and (d), the data points are hourly averaged ones during daytime (08:00-17:00).All snowy and rainy days during the sampling period were excluded.

Figure 6 .
Figure 6.The results of PSCF analysis for HCl (a) and HBr (b).Darker colors indicate greater potential source distribution.The terrain base map was made from © Yahoo Maps.Black stars mark the location of the sampling site.

Figure 8 .
Figure 8.Time series of calculated production rates of Cl and Br radicals during the observation period (a); diurnal variations of HCl and HBr concentrations on clean and polluted days (b); diurnal variations of production rates of Cl and Br radicals from 08:00 to 17:00, together with calculated OH radical concentrations (c); and production rates of Cl and Br radicals on clean and polluted days (d).The clean and polluted days were classified as daily PM 2.5 < 75 µg m −3 and PM 2.5 ≥ 75 µg m −3 , respectively.The data points are hourly average intervals and measured during observation periods from 1 February to 31 March 2019.

Table 1 .
Gas -phase acidities and deprotonated anion of a few compounds of interest.CompoundsFormula − G * (kJ mol −1 ) Deprotonated anion * Gas-phase acidity is defined as − G for the protonation reaction (H + + A − → HA).Data are obtained from the NIST Chemistry WebBook.