Airborne observations of newly formed boundary layer aerosol particles under cloudy conditions

Abstract

This study describes the appearance of ultrafine boundary layer aerosol particles under classical “non-favourable” conditions at the research site of TROPOS (Leibniz Institute for Tropospheric Research). Airborne measurements of meteorological and aerosol properties of the atmospheric boundary layer (ABL) were repeatedly performed with the unmanned aerial system ALADINA (Application of Light-weight Aircraft for Detecting IN-situ Aerosol) during three seasons between October 2013 and July 2015. More than 100 measurement flights were conducted on 23 different days with a total flight duration of 53 h. In 26 % of the cases, maxima of ultrafine particles were observed close to the inversion layer at altitudes between 400 and 600 m and the particles were rapidly mixed vertically and mainly transported downwards during short time intervals of cloud gaps. This study focuses on two measurement days affected by low-level stratocumulus clouds, but different wind directions (NE, SW) and minimal concentrations (< 4.6 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$) of ${\mathrm{SO}}_{\mathrm{2}}$, as a common indicator for precursor gases at ground. Taken from vertical profiles, the onset of clouds led to a non-linearity of humidity that resulted in an increased turbulence at the local-scale and caused fast nucleatione.g., but in relation to rapid dilution of surrounding air, seen in sporadic clusters of ground data, so that ultrafine particles disappeared in the verticality. The typical “banana shape” of new particle formation (NPF) and growth was not seen at ground and thus these days might not have been classified as NPF event days by pure surface studies.

Introduction

Knowledge of atmospheric aerosols is still incomplete and thus contributes to the most significant uncertainties in climate model predictions . Depending on their optical properties, aerosols interact significantly with solar radiation and hence influence the climate directly. In particular, the formation of new particles due to nucleation by gas to particle conversion is the subject of ongoing investigations. In this context, the formation and growth rates of nucleation mode particles (ca. 1–15 nm in size) need a more profound understanding. By subsequent and sufficient growth, the particles can act as cloud condensation nuclei and therefore influence the Earth's climate indirectly via affecting the hydrological cycle e.g.. Particle burst events were measured worldwide using different platforms such as research stations for long-term monitoring, ships and airborne systems. Studies were performed at various altitudes from the boundary layer up into the lower stratosphere and suggested different sources and proposed several mechanisms for new particle formation NPF; e.g.. According to these studies, NPF is likely during preconditions of low temperature; high water vapour content; low surface area of pre-existing particles, which otherwise would represent a condensation sink; presence of precursor gases and high incoming solar radiation. However, further studies presented events of NPF under non-favourable conditions, such as under the presence of clouds e.g., and these investigations stress the hypothesis that nucleation might be possible under a wider range of conditions than it has been expected so far.

In particular, the small-scale vertical distribution of aerosols in the atmospheric boundary layer (ABL) needs a more profound understanding and has to be implemented in models . A strong connection between the vertical variability in aerosol particles and the thermodynamic structure, caused by turbulence in the continental boundary layer, has been identified by at SMEARII (Station for Measuring Ecosystem-Atmosphere Relations) in Hyytiälä in Finland. The study suggests a connection between NPF and high values of turbulent kinetic energy, in particular for so called “A-events” with high formation and growth rates of particles with a particle diameter of 3 nm. considered that formation mechanisms are caused by dynamic processes in the mixed layer and entrainment zone. hypothesized that high humidity and temperature fluctuations may enhance NPF. Besides, assumed favourable conditions near the inversion due to mixing processes that was afterwards demonstrated by with the help of vertical profiling of the continental ABL with a balloon-borne system. However, the measurements mentioned so far, except for the balloon, were conducted only in one fixed location so that the situation on a larger scale, and in particular a temporal development at different altitudes, is missing.

In this context, the use of airborne systems for atmospheric research is essential to deliver a detailed four-dimensional picture of the aerosol spatiotemporal distribution from the surface up to the free troposphere. For instance, the results of showed the large-scale variability in the particle concentrations along air mass trajectories, and NPF and growth was observed over distances of several hundreds of kilometres. For small-scale differences in atmospheric conditions (e.g. cloud occurrence), NPF is distributed heterogeneously. The continental cloud top is favourable for NPF, as well as the cloud-free regions in between two cloud parcels .

The study of presented the variety of nucleation mode particles around clouds over Barbados. The measurements were performed with the helicopter-borne measurement payload of TROPOS called ACTOS (Airborne Cloud Turbulence Observation System). A high frequency of occurrence of nucleation events (around 83 % of all measurement days) was observed, whereby 50 % of the events were detected on a small scale within 100 m in horizontal extent. In addition, the important role of the entrainment zone for NPF was confirmed by the large data set of 91 flights and the influence of clouds for favourable NPF conditions was verified. studied atmospheric aerosols with the research aircraft FAAM BAe–146 and DLR Falcon 20 and suggested nucleation events in the ABL caused by the presence of high-pressure systems and one event in the free troposphere around 8 km altitude due to the updraught during frontal passages. All in all, a high vertical variability in atmospheric aerosols at different locations, but in particular in the ABL, was observed; however, no detailed evolution of the vertical distribution of ABL aerosol in the same area was observed.

This publication presents results of the ALADINA unmanned aerial system (UAS) that has already been extensively used for boundary layer aerosol field studies in Melpitz and was applied for turbulence measurements in west Africa . Prior investigations of showed NPF in correlation with temperature and humidity fluctuations of several orders of magnitude higher than in the remaining part of the ABL, as assumed by . In addition, downwards transport of freshly formed particles to ground level was observed and supported by the appearance of nucleation mode particles and their subsequent growth relating to an increase in ${\mathrm{SO}}_{\mathrm{2}}$ concentrations by clear sky. Due to the large data set of vertical profiles that were performed during three different seasons with ALADINA at the research site of TROPOS since 2013, a more complex role of NPF influenced by ABL processes is identified. In contrast to typical NPF events at ground by high incoming solar irradiance, other events were observed that might not have been considered by surface observations due to the sporadic appearance of ultrafine particles. The publication benefits from the comparison of ALADINA with instrumentation at ground and one model output that was applied for the MelCol (Melpitz Column) 2015 experiment, in order to get a better understanding of NPF conditions between the surface and the free troposphere.

This study is structured as follows: Sect.  provides an overview of the instrumentation on the UAS (Sect. ) and the measurements at the TROPOS research site (Sect. ). The used large Eddy simulation (LES) model is presented in Sect. . Section 3 shows the results of the newly formed boundary layer aerosol under cloudy conditions during the two measurement days, affected by the main wind directions (NE, SW). Finally, Sect. 4 concludes the presented study with the main goal to show the complexity and more frequent occurrence of NPF induced by local processes due to clouds in the ABL.

Instrumentation, model and research site

Aerosol and meteorological payload on the unmanned research aircraft ALADINA

The aircraft Carolo P360 “ALADINA” (Application of Light-weight Aircraft for Detecting IN-situ Aerosol) was designed and developed for atmospheric research in order to investigate the vertical and the horizontal aerosol distribution in relation to the ABL properties. The aircraft design and the setup of the instrumentation are described in . The reliability of the UAS was further supported by the results of and . The latter presented a detailed overview of ALADINA's flight operation, data procedure and the current payload that was re-engineered. In the following, only the instrumentation that are of interest in the current article will be introduced . The payload is equipped with aerosol instrumentation and meteorological sensors with high temporal resolution.

The total aerosol particle number concentration is derived by two condensation particle counters, CPCs (model 3007, TSI Inc., St Paul, USA), with different lower threshold diameters. In the first case study, the cut-off sizes were 5 and 10 nm, respectively. The difference in the particle number concentrations of both CPCs ($N_{\mathrm{5}}$ and $N_{\mathrm{10}}$), in the following referred to as $N_{\text{5–10}}$, is used for the number concentration of freshly formed particles. During the second case study, the lower threshold diameters of both CPCs were 7 and 12 nm ($N_{\mathrm{7}}$, $N_{\mathrm{12}}$; $N_{\text{7–12}}$), respectively. The CPCs were characterized to measure within an uncertainty of $\pm$20 % with a fast response time of 1.3 s. The laboratory results were confirmed by during field studies in Melpitz. For data quality assurance, the UAS was placed downstream of the same aerosol inlet as used for the ground-based measurements and $N_{\text{7–12}}$ data agrees with ground data in the same particle size within the deviation of $\pm$20 % during the sampling period of 1.5 h. The CPC data were not corrected for the pressure effect, because for the pressure range of interest (900–1025 hPa) the counting efficiency of the CPC changes only minimally, i.e. less than 4 % e.g., which is still within the range of the overall CPC uncertainty.

In addition, an optical particle counter, OPC (model GT-526, Met One Instruments Inc., Washington, USA), is installed and measures the size distribution of aerosol particles with six channels from 0.39 to 10 $\mathrm{\mu }$m (ambient) with an uncertainty of $\pm$15 % and a temporal resolution of 1 s. Here, the aerosol particle size distributions are analysed in the size windows between 390 and 700 nm, as larger particles were not relevant in the study due to minimal appearance. In the following, the particle size distributions of the three channels refer to the aerosol particle number distribution in the size range between 390 and 500 nm ($N_{\mathrm{390}}$), between 500 and 700 ($N_{\mathrm{500}}$) and between 500 to 700 nm ($N_{\mathrm{700}}$).

The meteorological instruments are mounted at the tip of the aircraft nose next to the aerosol inlet. The sensor package consists of one five-hole probe for measuring the three-dimensional wind vectors with a temporal resolution of up to 40 Hz and wind speed with an accuracy of $\pm$0.5 m s${}^{-\mathrm{1}}$ . The fast temperature sensors have a resolution of 10–20 Hz with an accuracy of $\pm$0.1 K . Additionally, one humidity sensor is integrated that probes the water vapour content with a response time of 1.5 s with $\pm$3 % RH accuracy .

Research site Melpitz

The research site Melpitz of TROPOS (51${}^{\circ }$ 32${}^{\prime }$ N, 12${}^{\circ }$ 56${}^{\prime }$ E, 87 m a.s.l.) is located in the lowlands of Saxony, 41 km NE of Leipzig, Germany, and surrounded by flat grass, agricultural areas and forests (e.g. ). The flat surface and the fact that no obstacle is in the direct vicinity of the station enables its use as as airfield for a safe take-off and landing of the UAS.

Air masses arriving at Melpitz consist of up to 60 % originally maritime air, due to long-distance transport by westerly winds and with predominantly enhanced concentrations of organic matter, sulphate and nitrate . In the other frequent case, air masses are transported from industrial regions in eastern Europe and therefore show distinctly higher aerosol particle number concentrations in the boundary layer e.g.. Aerosol loads in this case are primarily characterized by anthropogenic emissions and classified as “near city background” by . investigated NPF events at 12 different European sites including Melpitz within the framework of the EUCAARI (European Integrated project on Aerosol, Cloud, Climate, and Air Quality Interactions) project. During the intensive measurement period from March 2008 until April 2009, 57 % of the available data were classified as NPF event days with a major occurrence in warm seasons and a significant maximum in May. The highest occurrence of NPF during summer was measured by who focused on NPF events in connection with sulphur dioxide (${\mathrm{SO}}_{\mathrm{2}}$) concentrations in a 10-year period for the Melpitz site from 1996 to 2006. The fraction of NPF occurrence was 30 to 50 % and related to an increase in ${\mathrm{SO}}_{\mathrm{2}}$ concentrations. During the earlier 1.5-year period between 1996 and 1997, 50 % of the available data was classified as nucleation with a maximum in June. However, only 30 % corresponded to NPF in the period from 2003 and 2006 with the highest frequency from June to September.

Therefore, the high occurrence of NPF in spring and summer was expected during airborne observations of the presented study. A detailed description of meteorological sensors and gas analysers on site can be taken, for instance, from . This article describes the gas concentrations of ${\mathrm{SO}}_{\mathrm{2}}$ and ${\mathrm{NO}}_x$, measured in 1-min intervals at ground. The temporal evolution of aerosol is estimated by a twin scanning mobility particle sizer, TSMPS, in the size range between 3 and 800 nm with a 20 min scan . Clouds and aerosol layers are indicated in the lowermost 3–4 km with backscatter signals of the ceilometer and lidar. The given range-corrected signal (see Figs.  and ) is the uncalibrated attenuated backscatter coefficient that is damped by molecules and particles. For the first measurement day, ceilometer data are presented at a wavelength of 1064 nm e.g.. During the second measurement day in 2015 (see Sect. ), the Polly${}^{\mathrm{XT}}$ lidar was available and backscatter signals are shown at a wavelength of 532 nm e.g.. In addition, particle fluxes and fluxes of ${\mathrm{CO}}_{\mathrm{2}}$ are estimated in the second case in order to study vertical transport processes of aerosol particles and possible sources and to link between surface and UAS data.

Large eddy simulations (LESs) with forced meso-scale model output for MelCol 2015

ALADINA was operated in Melpitz during the field study Melpitz Column (MelCol) from 16 June until 1 July 2015. A large eddy simulation (LES) model output was run for the experiment and is used for the ABL description in order to derive a continuous data set of the vertical distribution of turbulent parameters, shown in latent heat flux ($w^{\prime }{q}^{\prime }$), sensible heat flux ($w^{\prime }{\mathit{\theta }}^{\prime }$) and turbulent kinetic energy (TKE). The model itself is described in the following.

Simulations for the MelCol 2015 measurement campaign are performed with the All Scale Atmospheric Model ASAM;. It has recently been used to investigate the heat island effects on ABL modification, cloud initiation and vertical tracer mixing in the trade wind regime . For the present study, LESs for selected days during the campaign were performed with respect to the present synoptic situation, including changes due to large-scale advective tendencies and incoming radiation.

Land use and topography of the simulation domain considered in the All Scale Atmospheric Model (ASAM; Jähn et al., 2015) around the Melpitz field site, located in the domain centre (red dot). The large variation in vegetation on a small scale is indicated by different colours (a) and the topography ranging from 60 to 260 m above sea level (a.s.l.) is also indicated with the same resolution (b).

[Figure omitted. See PDF]

The computational domain is 25.2 km $\times$ 25.2 km with the Melpitz field site located in the domain centre (see Fig. ). Since the focus lies on the ABL, the model top is set to a height of 4 km. The land use around Melpitz is characterized by mainly different forest types (farm land, shrubland, urban areas). Due to the relatively flat environment, orographic structures are not taken into account for the simulations, i.e. the model domain could be chosen as a flat surface.

The model physics is described by the prognostic TKE equation , by the two-moment microphysics scheme with excluded ice phase in order to save computation time and by the multi-layer soil and land-use model TERRA_ML; with a revised scheme for the surface layer .

The model setup is similar to the one described in , and it includes large-scale forcing tendencies due to advection of heat and water vapour, subsidence from the COSMO (Consortium for Small-scale Modeling, , ) reanalysis; direct, diffuse and terrestrial radiation (1 min averages) directly measured at the field site and soil data (temperature and moisture) from the German weather service (Deutscher Wetterdienst, DWD) station “Klitzschen bei Torgau”, which is located 3 km away from the Melpitz field site.

Results and discussion

For almost one-third of the ALADINA flights, bursts of ultrafine particles were observed under cloudy conditions close to the inversion layer. Two of the six measurement days were selected explicitly due to similar weather conditions after the passage of a low-pressure system and minimal ${\mathrm{SO}}_{\mathrm{2}}$ concentrations, but different wind (NE, SW) directions that mainly influence the atmospheric structure e.g..

Case I – April 2014

In this section, NPF observations are shown on 4 April 2014, as this day is in contrast to previous investigations from under clear-sky conditions. Large-scale analysis revealed that air masses were transported initially from Saharan regions over eastern Europe within the last days via north-easterly winds. According to data of surface pressure systems that are publicly available by DWD, the research station was influenced by a low-pressure system and especially by the passage of a cold front that finally occluded around 18:00 UTC ($-$02:00 MEZ).

Ground observations in Melpitz on 4 April 2014. (a) Particle size distribution measured with TSMPS between 3 and 800 nm, (b) gas concentrations of ${\mathrm{SO}}_{\mathrm{2}}$ and ${\mathrm{NO}}_x$, (c) wind direction dd and global radiation GR. More information on ground instrumentation can be taken from and .

[Figure omitted. See PDF]

A typical “banana shape” , as a consequence of adequate condensation of precursor gases, was not observed that day. The development of the size distribution at ground level was calculated from TSMPS (see Sect. ) data. The aerosol particle number concentration in the size of 10 to 800 nm was rather low with a mean concentration of 8 $\times$ 10${}^{\mathrm{3}}$ cm${}^{-\mathrm{3}}$ compared to other days in springtime e.g.. Particles from 100 to 200 nm in size were predominant with a mean aerosol particle number concentration of 1.0 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ and evenly distributed during the whole day. Larger particles in diameter range from 200 to 800 nm played a minor role with a few hundred particles per cubic centimetre. Only the ultrafine particles with 10 to 100 nm particle diameter could be distinguished in the temporal distribution and were clustered in two events in the early morning at 02:00 and 04:15 UTC, also one further event in the afternoon at 14:00 UTC (Fig. a). A fourth sporadic occurrence of particles between 80 and 150 nm in diameter was detected at around 19:00 UTC and reached a total maximum aerosol particle number concentration of 1.5 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$.

In addition, gas concentrations of ${\mathrm{SO}}_{\mathrm{2}}$ and ${\mathrm{NO}}_x$ are presented in Fig. b. The ${\mathrm{SO}}_{\mathrm{2}}$ concentration varied between 1.4 and 4.4 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$ from the early morning until 10:00 UTC. Afterwards, the concentration increased slowly to a total maximum of 11 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$ at 20:40 UTC and decreased to 4.8 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$ in the night. ${\mathrm{NO}}_x$ concentrations between 10.2 and 24.6 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$ were measured during the day, with temporary higher concentrations in the early morning at 03:50 UTC, from 07:55 to 09:40 UTC and in the afternoon around 18:00 UTC that further coincide with the appearance of ultrafine particles observed with the TSMPS.

The temperature was low between 5.3 and 12.3 ${}^{\circ }$C and the relative humidity reached high values up to 98.1 % in the early morning with a maximum at 08:25 UTC. Due to specific and only short periods of clear sky, the global radiation, GR, varied between 400 and 720 W m${}^{-\mathrm{2}}$ (Fig. c). The wind speed was moderate in the range of 2 and 4 m s${}^{-\mathrm{1}}$. The prevailing wind direction was from north-east, besides one sharp change of the wind direction, dd, from north to south-west between 08:15 and 08:55 UTC, (Fig. c).

Backscatter signals (range corrected at the wavelength of 1064 nm) of the ceilometer e.g. installed at Melpitz on 4 April 2014. White parts show clouds and colour scales in green up to red show the existence of atmospheric particles.

[Figure omitted. See PDF]

Cloudy conditions and heterogeneously mixed atmosphere

A heterogeneous lower atmospheric structure was identified with the ceilometer data and the results for the lowermost 4 km are presented in Fig. . A stable nighttime ABL with a depth of less than 600 m was observed from midnight until around 07:00 UTC. Dense ABL clouds formed within this humid layer from about 07:00 to 10:00 UTC. After 10:00 UTC, the clouds dissolved and the humid convective boundary layer started growing. The maximum ABL depth was observed at around 14:30 UTC with an ABL top of 800 m. Convection decayed and a residual layer (RL) remained after 16:00 UTC. Various particle (shown as green and yellow colours) and cloud (shown in white) layers were observed at different altitudes during the whole day. Partly, the lofted aerosol layers (steady existent up to 1.5 km) were mixed into the ABL during the growth process. The higher aerosol layers above 1.5 km height were also present during the whole day but did not obviously affect the boundary layer aerosol conditions. After 20:00 UTC, precipitation was observed which did not reach the ground.

Airborne measurements performed with the UAS ALADINA during Case I on 4 April 2014. The flight time of ALADINA between take-off and landing and the maximum altitude of flights are shown. In addition, prevailing conditions of clouds, ${\mathrm{SO}}_{\mathrm{2}}$ gas concentration, pressure at the surface $p_{\mathrm{0}}$ and temperature $T_{\mathrm{1}\mathrm{m}}$ from mast in 1 m height are presented in relation to the corresponding flights.

Flight	Flight time	Max. height	Sky conditions	SO${}_{\mathrm{2}}$	$p_{\mathrm{0}}$	$T_{\mathrm{1}\mathrm{m}}$
	(UTC)	(m a.g.l.)		($\mathrm{\mu }$g m${}^{-\mathrm{3}}$)	(hPa)	(${}^{\circ }$C)
1	06:15–06:50	950	stratocumulus	1.7–2.4	998	7.7–8.8
2	07:50–08:17	700	ABL clouds	1.1–2.2	999	5.3–6.1
3	08:55–09:30	750	ABL clouds	1.9–2.9	999	7.0–9.1
4	10:41–11:28	1000	ABL clouds	3.7–4.6	1000	10.8–11.3
5	11:45–12:27	950	ABL clouds–stratocumulus	2.7–4.4	1000	10.8–12.1
6	13:20–13:58	950	stratocumulus	3.6–5.0	1001	11.8–12.3

Vertical profiles of potential temperature $\mathit{\theta }$; water vapour mixing ratio $q$; aerosol particle number concentration of ultrafine particles measured with two CPCs in the particle diameter above 5 nm (green line), above 10 nm (black line) and $N_{\text{5–10}}$ (grey dot). Total aerosol particle number concentration measured with the OPC in the size above 390 nm (blue line), 500 nm (red line) and 700 nm (dashed black line) are also shown. All data were measured with ALADINA at (a) 09:06, (b) 10:45, (c) 11:47 and (d) 13:50 UTC on 4 April 2014.

[Figure omitted. See PDF]

NPF in the vertical distribution

In the following, vertical profiles obtained with the UAS ALADINA are shown and the flight times are summarized and connected with weather conditions and gas concentrations of ${\mathrm{SO}}_{\mathrm{2}}$ in Table . During Case I on 4 April, six measurement flights were performed between a maximum height of 700 and 1000 m a.g.l. from 06:15 until 13:58 UTC.

Figure  displays four vertical profiles (from left to right) of potential temperature $\mathit{\theta }$; water vapour mixing ratio $q$; aerosol particle number concentration $N_{\mathrm{5}}$ (green line), $N_{\mathrm{10}}$ (black line) and $N_{\text{5–10}}$ (grey dot), given by the two CPCs; and the aerosol particle number concentration with the three OPC channels $N_{\mathrm{390}}$ (blue line), $N_{\mathrm{500}}$ (red line) and $N_{\mathrm{700}}$ (black dashed line) in the time interval at (a) 09:06, (b) 10:45, (c) 11:47 and (d) 13:50 UTC.

The first profile was taken at 09:06 UTC (Fig. a) and showed a strong inversion layer in the height between 420 and 550 m a.g.l. that was influenced by air masses of high moisture, identified by the rapid increase in $q$ from 2 to 18.5 g kg${}^{-\mathrm{1}}$ within the inversion layer. $N_{\mathrm{5}}$ decreased continuously from 6.0 $\times$ 10${}^{\mathrm{3}}$ to 4.0 $\times$ 10${}^{\mathrm{3}}$ cm${}^{-\mathrm{3}}$ between the height of 100 and 420 m a.g.l. Above, a NPF event was observed, shown by $N_{\text{5–10}}=$ 3.5 $\times$ 10${}^{\mathrm{3}}$ cm${}^{-\mathrm{3}}$ that was strongly connected to the layer of high moisture. Above the inversion, the aerosol particle number concentration decreased to 3.0 $\times$ 10${}^{\mathrm{3}}$ cm${}^{-\mathrm{3}}$ for the particles measured with both CPCs and remained constant to the height of 700 m a.g.l. In case of the OPC data, larger particles were mixed below inversion layer and significantly decreased above. At ground, less than 250 cm${}^{-\mathrm{3}}$ were measured with the 390 nm channel, 50 cm${}^{-\mathrm{3}}$ for the particle diameter of 500 nm and larger particles (700 nm to 5 $\mathrm{\mu }$m) were almost not detectable. Up to the inversion layer at 420 m a.g.l., the vertical distributions of $N_{\mathrm{390}}$ and $N_{\mathrm{500}}$ were constant and decreased rapidly along with the maximum of $N_{\text{5–10}}$. Between the altitude of 470 and 700 m a.g.l., the aerosol particle number concentration of $N_{\mathrm{390}}$ and $N_{\mathrm{500}}$ were constant with low values of $N_{\mathrm{390}}=$ 110 and $N_{\mathrm{500}}=$ 20 cm${}^{-\mathrm{3}}$. At 10:45 UTC (Fig. b), the inversion layer was lifted up to a height between 500 and 700 m a.g.l. and still connected to the layer of high moisture. Here, only data from the CPC with the lower cut-off size of 5 nm were available. The CPC detected particles up to 0.8 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ between ground level and the capping inversion at the height of 450 m a.g.l. Hereafter, the amount of $N_{\mathrm{5}}$ increased steadily to 3.8 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ at the altitude around 700 m a.g.l. with two distinct layers of particles. Below the inversion, ultrafine particles were evenly dispersed within the ABL, but above the inversion a heterogeneous distribution was observed up to the height of 800 m a.g.l., where the aerosol particle number concentration decreased rapidly to a minimum of $N_{\mathrm{5}}=$ 0.5 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$. At the same time, $N_{\mathrm{390}}$ was also evenly distributed below the inversion and reached values around 220 cm${}^{-\mathrm{3}}$. Within the height of 450 and 500 m a.g.l., the concentration decreased to $N_{\mathrm{390}}=$ 130 cm${}^{-\mathrm{3}}$. Between 500 and 950 m a.g.l. in altitude, the aerosol particle number concentration varied between 110 and 120 cm${}^{-\mathrm{3}}$. The same distribution occurred for particles in the diameter size of 500 nm, but with minimal concentrations. The next vertical profile was taken at 11:47 UTC (Fig. c). A high increase in $N_{\mathrm{5}}$ with a maximum aerosol particle number concentration of 3.8 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ was observed in the height between 150 and 250 m a.g.l. A second layer with enhanced values of $N_{\mathrm{5}}$ was detected above the inversion layer in the heights of 630 and 950 m a.g.l. with a maximum of 3.4 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$. The results of the OPC were almost the same as 1 h before and significantly affected by the inversion layer. Later, at 13:50 UTC (Fig. d), the aerosol particle number concentration was detected with both CPCs again. From ground level up to the inversion at 800 m a.g.l., the maximum of $N_{\text{5–10}}=$ 0.5 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ appeared. Above 800 m a.g.l., the decline of $N_{\mathrm{390}}$ and $N_{\mathrm{500}}$ was still present and linked to the increase in ultrafine particles.

The overall observation was the occurrence of NPF connected to a layer of high moisture close to the inversion depending on the decline of particles $>$ 390 nm in size, as an indicator for the decreasing condensation sink that might have favoured the particle formation process. Strong gradients in the vertical distribution of the humidity intensified turbulence and caused fast nucleation, as it was proposed by e.g.. Although, the main wind direction was from NE, the authors do not consider any emission via long-range transport by a combustion source in this case, as it was stated by . If there would be a source of ultrafine particles upwind of the site, the particles would grow fast ($>$ 50 nm in size) during the transport. Furthermore, if the ultrafine particles observed in Melpitz would have been formed far away, they would not appear as single bursts. Such small structures with sharp gradients to the environment would dilute very quickly within the time span of minutes at maximum. However, local sources can not be excluded, as ${\mathrm{NO}}_x$ increased during sporadic appearances of particles $<$ 50 nm at ground. However, the authors suggest that these particles were produced elsewhere and transported to the site.

Backscatter signals (range corrected at the wavelength of 532 nm) of Polly${}^{\mathrm{XT}}$ lidar installed at Melpitz on 21 June 2015. White parts show clouds and colour scales in green up to red show the existence of atmospheric particles. More details of the lidar can be taken from .

[Figure omitted. See PDF]

Case II – June 2015

The second case presents observations from 21 June 2015. ALADINA flights were performed as part of the MelCol 2015 experiment so that additional instrumentation was available at the site. Within the last five days starting on 16 June 2015, retrieved back-trajectories showed air masses originated over the Atlantic, so that a low aerosol load was expected. The research site was influenced by a low-pressure system leading to a mixed structure of stratocumulus clouds in the height of 500–2500 m. The cloud coverage can be further taken from the Polly${}^{\mathrm{XT}}$ lidar e.g. data from 06:00 until 18:00 UTC (Fig. ).

Performed airborne measurements with the UAS ALADINA during MelCol experiment Case II on 21 June 2015. The flight time of ALADINA between take-off and landing and the maximum altitude of flights. In addition, prevailing conditions of clouds, ${\mathrm{SO}}_{\mathrm{2}}$ gas concentration, pressure at surface $p_{\mathrm{0}}$ and temperature $T_{\mathrm{1}\mathrm{m}}$ from mast in 1 m height are presented in relation to corresponding flight time series.

Flight	Flight time	Max. height	Sky conditions	SO${}_{\mathrm{2}}$	$p_{\mathrm{0}}$	$T_{\mathrm{1}\mathrm{m}}$
	(UTC)	(m a.g.l.)		($\mathrm{\mu }$g m${}^{-\mathrm{3}}$)	(hPa)	(${}^{\circ }$C)
1	08:00–08:35	950	ABL clouds–stratocumulus	1.2–1.6	1007	14.8–15.9
2	08:46–09:15	950	stratocumulus	0.9–1.2	1007	15.4–17.4
3	09:28–10:01	950	stratocumulus	0.8–0.9	1007	14.7–17.4
4	12:03–12:38	1100	stratocumulus	1.2–1.5	1007	15.7–17.1
5	12:51–13:15	1200	stratocumulus	1.2–1.3	1006	15.7–16.3
6	13:51–14:23	1200	stratocumulus	1.4–1.5	1005	15.6–18.3
7	14:57–15:32	1200	stratocumulus	1.4–3.7	1005	16.9–17.7

An overview of the performed measurement flights with ALADINA in connection with weather conditions and gas concentrations of ${\mathrm{SO}}_{\mathrm{2}}$ (between 0.8 and 3.7 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$) can be found in Table . In this case, seven flights were performed between 08:00 and 15:32 UTC with a total maximum height of 1200 m a.g.l. The temperature at 1 m height was in the range of 9.4 and 18.3 ${}^{\circ }$C during the day. The wind speed was weak between 0 and 3.7 m s${}^{-\mathrm{1}}$ coming from SW, so that nucleation cannot be expected due to clean air masses, according to the results of .

(a) Particle size distribution measured with TSMPS, (b) fluxes of ${\mathrm{CO}}_{\mathrm{2}}$, (c) liquid water path, LWP and (d) gas concentrations of ${\mathrm{SO}}_{\mathrm{2}}$ and ${\mathrm{NO}}_x$ during the MelCol experiment on 21 June 2015. The homogeneous aerosol load was affected by ABL growth after 07:30 UTC and six sporadic formation events (seen in red dots in the size range of 10 to 20 nm) were indicated during daytime between 08:10 and 16:10 UTC under cloudy conditions and south-westerly wind.

[Figure omitted. See PDF]

The diurnal evolution of particle number size distribution measured by TSMPS at ground is displayed in Fig. a. The aerosol load was constantly dispersed until 07:20 UTC with the highest number concentrations of 5.0 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ in the size between 30 and 50 nm. Particles belonging to the accumulation mode were insignificant on this day and reached values of only a few 100 particles cm${}^{-\mathrm{3}}$. At 07:50 UTC, a sporadic NPF event was observed with a maximum aerosol particle number concentration of 1.5 $\times$ 10${}^{\mathrm{5}}$ cm${}^{-\mathrm{3}}$ in the size between 3 and 10 nm. At the same time, a significant decline of accumulation mode particles was measured. However, the NPF event stopped within 20 min and the aerosol particle number concentration of particles larger than 20 nm increased, although the concentrations were still low during the day. In the following, five events with a significant increase in the aerosol particle number concentration in the diameter size between 7 and 20 nm were temporarily clustered at 10:10, 11:50, 13:20, 14:50 and 16:10 UTC. The sporadic appearances of small particles were ongoing with a decrease in the aerosol particle number concentration of particles in the diameter of 30–50 nm. Figure b displays the diurnal cycle of ${\mathrm{CO}}_{\mathrm{2}}$ fluxes, $w^{\prime }{{\mathrm{CO}}_{\mathrm{2}}}^{\prime }$, estimated with the eddy covariance (EC) station that was deployed during the analysed measurement day. During non-events, the fluxes were positive and reached a maximum of 0.2 mg kg${}^{-\mathrm{1}}$ m s${}^{-\mathrm{1}}$ in the night at 01:30 UTC. At 05:00 UTC, negative values of $w^{\prime }{{\mathrm{CO}}_{\mathrm{2}}}^{\prime }$ occurred with a maximum of $-$0.2 mg kg${}^{-\mathrm{1}}$ m s${}^{-\mathrm{1}}$ at 08:40 UTC, that was at the same time with the sporadic appearance of small particles. In order to show a direct dependence of water vapour on nucleation, Fig. c depicts the liquid water path, LWP, calculated from the LES model during the measurement period. Highest values of up to 10 kg m${}^{-\mathrm{2}}$ indicated the existence of dense ABL clouds and nucleation occurred in a short time period by mean LWP values of 3.5 kg m${}^{-\mathrm{2}}$. Gas concentrations of ${\mathrm{SO}}_{\mathrm{2}}$ were low (< 3.7 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$) during measurement flights (see Fig. d). The maximum occurred in relation to the occurrence of ultrafine particles in the afternoon at around 14:50 UTC. In contrast to the previous measurement day, the concentration of ${\mathrm{NO}}_x$ was minimal between 2.5 and 10.1 $\mathrm{\mu }$g m${}^{-\mathrm{3}}$ and did not coincide with the sporadic appearance of ultrafine particles in the TSMPS data.

Cross wavelet spectrum of vertical wind and particle number from an EC station on 21 June 2015 (a). Colours indicate positive and negative contributions of different timescales to the particle flux over the day. During sporadic new particle formation (NPF), deposition was observed (red), in contrast to emission during non-event sections (blue). The hatched regions at both ends show the cone of influence, where edge effects influence the wavelet analysis. (b) Particle fluxes calculated by standard eddy covariance procedures for 30 min intervals (black dashed line), and reconstructed from wavelet analysis for 1 min intervals (grey). The 30 min EC particle fluxes show significant deposition affected by NPF at 12:30 UTC.

[Figure omitted. See PDF]

A similar observation of clustered NPF during cloudy conditions and westerly wind in Melpitz was recently presented in the study of . An insufficient particle growth rate was significantly connected to fluctuations of hydroxyl radicals and ${\mathrm{H}}_{\mathrm{2}}{\mathrm{SO}}_{\mathrm{4}}$ (shown in the so called Case 4) that were steadily suppressed by clouds in contrast to a high increase in ${\mathrm{H}}_{\mathrm{2}}{\mathrm{SO}}_{\mathrm{4}}$ during clear-sky events. The authors suggested local processes and steady influencing sources as the cause for this formation behaviour. In order to understand possible local processes in the current work, additional estimations of particle fluxes will be considered for the day. Figure  displays particle fluxes taken from the EC station that was deployed several metres away from the UAS operation and ground monitoring. Short lifetime and quick fluctuations of emission (shown in blue, positive particle flux) and deposition (shown in red, negative particle flux) were prevailing during the day. Significant deposition occurred with a maximal particle flux of $-$26 $\times$ 10${}^{\mathrm{6}}$ m ${}^{-\mathrm{2}}$ s ${}^{-\mathrm{1}}$ at 12:30 UTC, taken from the 30 min averaging, that is in relation to the occurrence of ultrafine particles and the break of ABL clouds. Deposition with a maximum of $-$75 $\times$ 10${}^{\mathrm{6}}$ m ${}^{-\mathrm{2}}$ s ${}^{-\mathrm{1}}$ was shown by during a clear nucleation event with particle growth rate, measured with cut-off sizes of 7 and 14 nm. Moreover, the study observed high frequencies (87 %) of downward fluxes during nucleation events that might lead to the assumption of local sources from upper layers so that not only emissions near ground level should be considered. Possible causes for NPF in the ABL, initiated by turbulence were previously suggested by as well.

Again, no typical shape of NPF with a high and steadily increasing growth rate was observed during this day with dense cloud coverage of stratocumulus; however, nucleation appeared to be sporadically affected by local processes of clouds.

Potential temperature $\mathit{\theta }$, water vapour mixing ratio $q$ and turbulent kinetic energy TKE depending on the altitude, estimated with the LES model in 1 h time intervals starting from 06:00 until 16:00 UTC during the MelCol experiment on 21 June 2015. Highest values of $q$ were estimated between the height of 950 and 1210 m close to the inversion layer and appeared before sporadic NPF occurrence at ground.

[Figure omitted. See PDF]

ABL properties during the NPF event

ABL characteristics were not available from the UAS and were estimated with the LES model output (Sect. ) in a vertical resolution of 50 m, beginning at the altitude of 25 m. The top of the ABL height varied between 900 and 1200 m in the period of 06:00 until 16:00 UTC (Fig. ). The water vapour mixing ratio $q$ reached maxima between heights of 950 and 1210 m near the inversion layer. The total maximum of $q=$ 18.5 g kg${}^{-\mathrm{1}}$ was estimated in the afternoon in the 1 h time interval between 14:00 and 15:00 UTC in the height of 1200 m. The vertical profile of turbulent kinetic energy, TKE, from the surface up to 1500 m showed a strong connection with the structure of the ABL with highest rates between 0.6 and 1.15 m${}^{\mathrm{2}}$ s${}^{-\mathrm{2}}$. In the lowermost 50 m, TKE reached its highest value and a total maximum of 1.18 m${}^{\mathrm{2}}$ s${}^{-\mathrm{2}}$ between 06:00 and 07:00 UTC. At 150 m, TKE decreased compared to the surface inversion and was stable between 1200 and 1500 m. Close to the transition zone into the free troposphere, TKE was negligible. All in all, the LES output showed a capped inversion with high moisture and moderate wind speed in the lowermost 200 m and simultaneously the highest value of TKE.

Vertical profiles of sensible heat flux $w^{\prime }{\mathit{\theta }}^{\prime }$ in K m s${}^{-\mathrm{1}}$ and latent heat flux $w^{\prime }{q}^{\prime }$ in g kg${}^{-\mathrm{1}}$ m s${}^{-\mathrm{1}}$ obtained by LES output in the interval of 08:00–09:00 UTC (red lines). Besides, three vertical profiles of freshly formed boundary layer aerosol in the particle diameter between 7 and 12 nm ($N_{\text{7–12}}$) measured with the CPCs on the UAS ALADINA at 08:13 (solid line), 08:20 (dotted line) and 08:26 UTC (dashed line) are compared with the aerosol particle number concentration derived by TSMPS in the diameter range of 7 and 12 nm at 07:50, 08:10, 08:30 and 08:50 UTC. All data were derived during the MelCol experiment on 21 June 2015.

[Figure omitted. See PDF]

Vertical mixing of NPF

Two of the six sporadic nucleation events (see Fig. ) were observed with the UAS ALADINA on 21 June 2015. The first case corresponds to the NPF event at around 08:00 UTC and the results are shown in Fig. . The vertical profile of sensible heat flux $w^{\prime }{\mathit{\theta }}^{\prime }$ and latent heat flux $w^{\prime }{q}^{\prime }$ were estimated with the LES model and presented for a 1 h interval between 08:00 and 09:00 UTC from the surface up to 1000 m a.g.l. in altitude. During this period, three vertical profiles of the UAS were performed at 08:13 (solid line), 08:20 (dotted line) and 08:26 UTC (dashed line) in the height between 100 and 950 m a.g.l. Note that during this study, the lower cut-off sizes of the two CPCs were 7 and 12 nm in particle diameter, respectively (see Sect. ). At 08:13 UTC (black line), the vertical profile of $N_{\text{7–12}}$ showed a high variance: at 100 m a.g.l. $N_{\text{7–12}}$ was 8 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ and decreased to 3 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ at the height of 390 m a.g.l. Above, a significant maximum of 16 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ was measured at the height of 500 m a.g.l. and existed up to 790 m a.g.l. Between the heights of 800 and 950 m a.g.l, $N_{\text{7–12}}$ decreased to 10 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ in connection to a layer of maximum $w^{\prime }{q}^{\prime }=$ 25 g kg${}^{-\mathrm{1}}$ m s${}^{-\mathrm{1}}$ and negative values of $w^{\prime }{\mathit{\theta }}^{\prime }$ from $-$2 to $-$18 $\times$ 10${}^{-\mathrm{3}}$ K m s${}^{-\mathrm{1}}$. Only 17 min later, at 08:20 UTC, the lifted layer of enhanced aerosol concentration above 500 m a.g.l. was not observed anymore. However, below the altitude of 410 m a.g.l., the vertical distribution of $N_{\text{7–12}}$ was as before. At 08:26 UTC, the aerosol particle number concentration of $N_{\text{7–12}}$ was homogeneously mixed in the vertical distribution with a mean aerosol number concentration of 2.5 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$.

For comparison, TSMPS data were estimated for the same size of $N_{\text{7–12}}$. At 07:40 UTC, $N_{\text{7–12}}=$ 2 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ was measured at surface, before nucleation started. During the first flight of ALADINA, the maximum of $N_{\text{7–12}}$ was 9 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ at ground. Further, $N_{\text{7–12}}$ decreased to 3 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ at 08:30 UTC and 1 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ at 08:50 UTC. ALADINA observations in the lowermost 100 m a.g.l. were consistent with TSMPS data at ground. Thus, ground observations calculated by integration of a size scan over 20 min can not reproduce the significant spread of $N_{\text{7–12}}$ within the ABL, but are still consistent with profiling data.

Vertical profiles of sensible heat flux $w^{\prime }{\mathit{\theta }}^{\prime }$ and latent heat flux $w^{\prime }{q}^{\prime }$ obtained by LES output in the interval of 14:00–15:00 UTC (red lines). Besides, three vertical profiles of freshly formed boundary aerosol in the particle diameter between 7 and 12 nm ($N_{\text{7–12}}$) measured with the CPCs on the UAS ALADINA at 14:16 UTC (solid line), 14:57 (dotted line) and 15:06 UTC (dashed line) are compared with the aerosol particle number concentration derived by TSMPS in the diameter range of 7 and 12 nm at 14:10, 14:50 and 15:10 UTC. All data were derived during the MelCol experiment on 21 June 2015.

[Figure omitted. See PDF]

Figure  displays the same parameters as given in Fig.  for the time interval between 14:00 and 15:00 UTC, corresponding to the fifth sporadic nucleation event seen in TSMPS observations on 21 June 2015. At 14:16 UTC, the vertical profile of ALADINA (solid line) showed a homogeneous distribution of $N_{\text{7–12}}$ with a mean aerosol particle number concentration of 3.5 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$. The second profile was measured at 14:57 UTC (dotted line) with a significant increase in $N_{\text{7–12}}=$ 1.8 $\times$ 10${}^{\mathrm{5}}$ cm${}^{-\mathrm{3}}$ at ground and decreased rapidly in the vertical pattern between the height of 160 and 1100 m. The region corresponds to a maximum of sensible heat flux of 56 $\times$ 10${}^{-\mathrm{3}}$ K m s${}^{-\mathrm{1}}$. The third vertical profile was taken at 15:06 UTC (dashed line) and $N_{\text{7–12}}$ was mixed in the vertical distribution by a mean aerosol number concentration of 4.2 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$. The vertical distribution of latent heat flux showed a continuously increase with a maximum of 38 g kg${}^{-\mathrm{1}}$ m s${}^{-\mathrm{1}}$ at 1150 m.

Again, airborne data were consistent with ground observations by TSMPS; however, the temporal evolution of vertical profiles led to the assumption that NPF occurred at ground instead of aloft. However, fast mixing was observed and at the same time an increase in the aerosol particle number concentration in the vertical pattern.

Concluding remarks

Freshly formed boundary layer aerosol was measured with the ALADINA unmanned aerial system (UAS) under cloudy conditions at the research site of TROPOS in Melpitz. In total, 105 airborne measurements with a total flight duration of 53 h were performed on 23 measurement days since October 2013. During six of these measurement days, new particle formation (NPF) events were observed under non-favourable conditions (e.g. low concentrations of precursor gases, dense cloud coverage) near the inversion layer and were mixed vertically induced by atmospheric boundary layer (ABL) dynamic processes. However, only sporadic appearances of small particles were detected at ground and might not have been taken into account as an NPF event. This study focused on two different measurement days: (i) on 4 April 2014 by north-easterly wind and (ii) on 21 June 2015 under south-westerly wind. During the first case, a maximum of $N_{\text{5–10}}=$ 3.5 $\times$ 10${}^{\mathrm{3}}$ cm${}^{-\mathrm{3}}$ was detected above a capping inversion layer at the height of around 400 m a.g.l. in connection with a decline of $N_{\mathrm{390}}$ from 230 to 130 cm${}^{-\mathrm{3}}$. High moisture with a maximum of $q=$ 18.5 g kg${}^{-\mathrm{1}}$ was present above the inversion layer. The layer of the freshly formed aerosol spread out vertically in the boundary layer with a maximum of 3.8 $\times$ 10${}^{\mathrm{4}}$ cm${}^{-\mathrm{3}}$ for particles with a diameter size exceeding 5 nm. However, altered clusters (particle size between 30 and 50 nm) were measured at ground with a TSMPS during the process in relation to an increase in ${\mathrm{NO}}_x$ so that anthropogenic emissions might have favoured the NPF occurrence in the residual layer as well. The research site was influenced by NE wind, so that high emissions of anthropogenic sources were expected from eastern Europe, as stated by , who found NPF events in connection with local plumes over eastern Germany. However, changes in wind direction were not seen in wind measurements with ALADINA. The study of at the Jungfraujoch site in the free troposphere might support the present observations that NPF occurs under more conditions as expected so far; NPF was not only related to sulphuric acid formation, which is a common identifier for nucleation, but instead NPF depended on high concentrations of organic compounds from anthropogenic origin. On 21 June 2015, the site was influenced by a low-pressure system with stratocumulus clouds and SW wind. At 08:13 UTC, ALADINA observed a maximum of $N_{\text{7–12}}=$ 1.6 $\times$ 10${}^{\mathrm{5}}$ cm${}^{-\mathrm{3}}$ at the altitude of 420 m a.g.l. and decreased while descending. Within 17 min, the newly formed aerosol load was mixed vertically or disappeared as confirmed by pronounced fluxes of sensible heat, taken from an LES model output, with a maximum of $w^{\prime }{\mathit{\theta }}^{\prime }=$ 81 $\times$ 10${}^{-\mathrm{3}}$ K m s${}^{-\mathrm{1}}$ in the lowermost 160 m. The temporal evolution showed that the formation observed at ground originated from the ABL and was mixed vertically and transported downwards to the surface, as previously observed in under clear-sky conditions. Another sporadic occurrence of ultrafine particles was captured with the UAS in the afternoon between 14:10 and 15:10 UTC and showed that the formation process occurred at ground and was rapidly mixed in the vertical distribution initiated by a significant increase in $w^{\prime }{\mathit{\theta }}^{\prime }=$ 58 $\times$ 10${}^{-\mathrm{3}}$ K m s${}^{-\mathrm{1}}$ in the lowermost 150 m. Besides, the UAS observations were consistent with TSMPS data in the same diameter range of $N_{\text{7–12}}$, clarifying the reliability of the system. The ${\mathrm{CO}}_{\mathrm{2}}$ and particle fluxes indicated large fluctuations upwards and downwards, depending on the variation in ABL clouds that coincide with sporadic NPF at ground. For instance, high deposition with a maximum particle flux of $-$26 $\times$ 10${}^{\mathrm{6}}$ m ${}^{-\mathrm{2}}$ s ${}^{-\mathrm{1}}$ was measured along with a particle burst in the size of 10 and 40 nm.

To conclude, high humidity and pronounced turbulent fluxes were clearly the dominant factor in the ABL to favour NPF, even if conditions were generally not favourable. The authors' hypothesis is that the events observed here are locally restricted and not homogeneous over larger regions. This is because the clouds, in particular, create inhomogeneities in the intensity of solar radiation reaching the ground. On the other hand, clouds and their surrounding regions, as well as the inversion layer, are influenced by large gradients in various parameters. These gradients in combination with local turbulence may create strong non-linearities being a favourable environment for NPF, which has been discussed theoretically by and shown in situ by . The dynamics of such an event being locally restricted to small regions are completely different and can not be explained by characteristics of a large-scale event and relation to air mass. The small NPF events may occur suddenly, followed by fast growth but also fast dilution, confirmed by sporadic clusters in TSMPS data. To summarize, the observations lead to the assumption that occurrence of NPF within the boundary layer are underestimated if only ground observations are available and a more profound understanding of the vertical structure of the ABL is necessary in order to characterize NPF events.

At the current state, the data sets are not publicly accessible, as analyses and further publications of the campaign MelCol 2015 are still in progress by other participants, but will be delivered upon request. The open-access data will be provided in the future, e.g. in PANGAEA. To get access to the source code and additional scripts for pre- and postprocessing of the LES model, registration at the TROPOS Git hosting website http://gitorious.tropos.de/ (last access: 11 June 2018) is mandatory. Additional information can be found at the ASAM webpage (http://asam.tropos.de, last access: 11 June 2018).

The authors declare that they have no conflict of interest.

Acknowledgements

This work is funded by the German Research Foundation (DFG) under the project numbers LA 2907/5-1, WI 1449/22-1, BA 1988/14-1 and LA 2907/5-2, WI 1449/22-2, BA 1988/14-2. The authors thank Lutz Bretschneider, Nico Weil and Simon Nieschke for their technical support and for performance as good safety pilots. We acknowledge Norman Wildmann, Henning Busse and Andreas Scholtz for active assistance with the ALADINA system. Thanks to Huguette Djoumsap Takam, Mareike Decker and Maike Siekmann who were studying different formation events in Melpitz and have brought forward this study. A special thanks to the whole TROPOS team and MelCol participants, especially Ralf Käthner, Achim Grüner and Gerald Spindler for the valuable support on site and for offering access to Melpitz and TROPOS data. The authors thank Armin Raabe of the Institute of Meteorology from the University Leipzig for providing turbulence data at ground. The simulations were performed at the Center for Information Services and High Performance Computing (ZIH) at TU Dresden. The authors acknowledge the two anonymous referees and Wolfgang Junkermann for detailed proof reading of the manuscript and their constructive comments. Edited by: Veli-Matti Kerminen Reviewed by: two anonymous referees