Volume 42, Issue 4 p. 1243-1250
Research Letter
Free Access

Morphology and mixing state of aged soot particles at a remote marine free troposphere site: Implications for optical properties

Swarup China

Corresponding Author

Swarup China

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

Department of Physics, Michigan Technological University, Houghton, Michigan, USA

Correspondence to: S. China and C. Mazzoleni,

[email protected];

[email protected]

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Barbara Scarnato

Barbara Scarnato

Department of Meteorology, Naval Postgraduate School, Monterey, California, USA

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Robert C. Owen

Robert C. Owen

U.S. EPA, Research Triangle Park, North Carolina, USA

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Bo Zhang

Bo Zhang

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

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Marian T. Ampadu

Marian T. Ampadu

Department of Chemistry, Michigan Technological University, Houghton, Michigan, USA

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Sumit Kumar

Sumit Kumar

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

Department of Physics, Michigan Technological University, Houghton, Michigan, USA

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Katja Dzepina

Katja Dzepina

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

Department of Chemistry, Michigan Technological University, Houghton, Michigan, USA

Now at Department of Biotechnology, University of Rijeka, Rijeka, Croatia

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Michael P. Dziobak

Michael P. Dziobak

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

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Paulo Fialho

Paulo Fialho

Department of Agricultural Sciences, University of Azores, Angra do Heroísmo, Portugal

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Judith A. Perlinger

Judith A. Perlinger

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

Department of Civil and Environmental Engineering, Michigan Technological University, Houghton, Michigan, USA

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Jacques Hueber

Jacques Hueber

Institute of Alpine and Arctic Research, University of Colorado, Boulder, Colorado, USA

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Detlev Helmig

Detlev Helmig

Institute of Alpine and Arctic Research, University of Colorado, Boulder, Colorado, USA

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Lynn R. Mazzoleni

Lynn R. Mazzoleni

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

Department of Chemistry, Michigan Technological University, Houghton, Michigan, USA

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Claudio Mazzoleni

Corresponding Author

Claudio Mazzoleni

Atmospheric Sciences Program, Michigan Technological University, Houghton, Michigan, USA

Department of Physics, Michigan Technological University, Houghton, Michigan, USA

Correspondence to: S. China and C. Mazzoleni,

[email protected];

[email protected]

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First published: 14 January 2015
Citations: 139

Abstract

The radiative properties of soot particles depend on their morphology and mixing state, but their evolution during transport is still elusive. Here we report observations from an electron microscopy analysis of individual particles transported in the free troposphere over long distances to the remote Pico Mountain Observatory in the Azores in the North Atlantic. Approximately 70% of the soot particles were highly compact and of those 26% were thinly coated. Discrete dipole approximation simulations indicate that this compaction results in an increase in soot single scattering albedo by a factor of ≤2.17. The top of the atmosphere direct radiative forcing is typically smaller for highly compact than mass-equivalent lacy soot. The forcing estimated using Mie theory is within 12% of the forcing estimated using the discrete dipole approximation for a high surface albedo, implying that Mie calculations may provide a reasonable approximation for compact soot above remote marine clouds.

Key Points

  • Long-range transported soot in the free troposphere is very compact
  • Soot compaction increases single scattering albedo and reduces direct forcing
  • Mie model might provide a reasonable approximation in remote marine atmosphere

1 Introduction

Soot particles or nanosphere soot [Buseck et al., 2014], often referred to as black carbon, are aggregates of carbonaceous monomers produced from incomplete combustion of fossil and biomass fuels. Soot particles strongly absorb sunlight and directly impact Earth's radiation balance [Haywood and Ramaswamy, 1998; Bond et al., 2013]. Soot warms the atmospheric layer where it is accumulated, locally strengthening the atmospheric stability. Soot can favor cloud evaporation [Hansen et al., 1997] when it is encapsulated in a cloud droplet, while soot above clouds can cause cloud thickening [Wilcox, 2012]. Furthermore, soot can facilitate atmospheric heterogeneous reactions due to its large surface area [Nyeki and Colbeck, 2000; Zhang et al., 2008], and it can affect climate indirectly by acting as cloud condensation nuclei (CCN) and ice nuclei [Zhang et al., 2008; Tritscher et al., 2011; Bond et al., 2013].

Soot is transported over long distances and reaches remote regions, such as the Arctic or the Himalaya. Soot deposited by wet or dry deposition on snow reduces its albedo and contributes to regional melting and global warming [Rosen et al., 1981; Hansen and Nazarenko, 2004; Ramanathan and Carmichael, 2008]. Uncertainties in the atmospheric radiative forcing of soot are large [Bond et al., 2013]. Part of the uncertainties is due to the simplified representation of soot morphology (homogeneous spheres or core shell configuration) and its mixing state in climate models, as demonstrated by Adachi and Buseck [2013]. For example, the assumption of spherical symmetry for soot particles containing organics and sulfate underestimates light scattering by ∼50% [Adachi et al., 2011].

Freshly emitted soot particles are typically hydrophobic, lacy fractal-like aggregates. During transport, soot undergoes various aging processes such as coagulation, condensation, and heterogeneous reactions, resulting in changes in its morphology (size, shape, and internal structure) and mixing state (e.g., soot coating). In a recent laboratory study, Zangmeister et al. [2014] showed that lacy soot underwent compaction upon humidification, and that the compaction was remarkably independent of the monomer or particle size. The complex morphology and mixing state of soot significantly impact the soot aging time scale, atmospheric life time, and global burden [Van Poppel et al., 2005].

The morphology and mixing state of soot also affect light scattering and absorption cross sections [Zhang et al., 2008; Khalizov et al., 2009; Cross et al., 2010; Lack et al., 2012] and therefore soot's role in radiative forcing [Van Poppel et al., 2005; Adachi et al., 2010]. Soot compaction changes the scattering and absorption cross sections depending on the refractive index, the monomer diameter, and the structural details [Liu et al., 2008; Scarnato et al., 2013]. Conversely, coatings on soot particles typically enhance scattering and absorption cross sections, but the magnitude of the enhancements depends on the details of the geometric distribution of the components within each particle [Adachi and Buseck, 2013; Cheng et al., 2014].

In this study, we investigated the morphology and mixing state of soot particles collected at the remote marine Pico Mountain Observatory (PMO) in the Azores using scanning electron microscopy (SEM). The unique location of the PMO facilitates the study of soot transported over long distances and aged in the free troposphere. We found evidence of extreme soot compaction and assessed the implications of compaction on the optical properties using discrete dipole approximation (DDA) and Mie simulations. Furthermore, we assessed the variations of the top of the atmosphere direct radiative forcing (TOA-DRF) due to different degrees of compaction.

2 Experimental Methods

2.1 Sampling Site and Measurements

The PMO is located in the summit caldera of the Pico Volcano (at 2225 m above sea level, 38.47°N, 28.40°W) in the Azores, Portugal. The mountaintop observatory (Figure S1 in the supporting information) is typically above the marine boundary layer [Honrath et al., 2004; Kleissl et al., 2007; Rémillard et al., 2012]. PMO often receives air masses from North America and sometimes from Africa or Europe, and it is an ideal site to study free tropospheric aerosol transported over long distances [Dzepina et al., 2014].

We performed retroplume analysis using the Lagrangian particle dispersion model Flexible Particle (FLEXPART) [Stohl et al., 2005; Owen and Honrath, 2009] to study the origin of air masses and trajectories to PMO. We selected two specific events to study soot particles with different ages and transport patterns representing: (a) recirculation over the ocean from the southwest Atlantic (event 1, 6 and 7 July 2012), and (b) transport from North America (event 2, 20 and 21 July 2012) (Figure 1). FLEXPART also provides an estimate of the plume age that was higher for event 1 (~15.7 days) than for event 2 (~9.5 days).

Details are in the caption following the image
FLEXPART retroplumes show the transport pattern for (a and b) event 1 and for (c and d) event 2. (Figures 1a and 1c) The column-integrated residence time. (Figures 1b and 1d) The vertical distribution of residence time. For a better visualization, logarithmic color grades were used in Figures 1a and 1c, whereas linear color grades were used in Figures 1b and 1d. They both indicate the ratio of residence time at each pix to the highest residence time in the panel. The white numbers in Figures 1a and 1c display the upwind time of the plume location in days.

Particles were collected on nuclepore membranes [China et al., 2013], and individual particle morphology and mixing state were studied using a field emission SEM (Hitachi S-4700) coupled with an energy dispersive X-ray spectrometer (EDS). Additional experimental details are provided in the supporting information.

2.2 Particle Classification and Soot Mixing State

First, soot particles were identified using their unique aggregate nature, since soot consists of small carbonaceous spherical monomers (Figure S2 in the supporting information). In this classification, “soot” includes soot particles that are mixed with or coated by other material. We note that SEM operates in vacuum conditions and provides only surface information (see the supporting information for details); these caveats may skew the number of soot particles toward larger fractions than actually present in the atmosphere.

Second, soot particles were visually examined to determine their mixing state. They were categorized into four groups: (1) embedded [Adachi and Buseck, 2008], when soot was fully engulfed in coating material; (2) partly coated, when the coating material filled the soot internal voids; (3) thinly coated, when coating on soot was minimal; and (4) partially encapsulated, when only a part of the soot was inside a host particle (Figure 2f). The details of soot classification and limitations are discussed elsewhere [China et al., 2013].

Details are in the caption following the image
SEM images show the typical morphologies of soot observed at PMO grouped into four major types of particle mixing states: (a–c) thinly coated, (d) partly coated, (e) embedded, and (f) partially encapsulated. (g) The fraction of the different soot types for event 1 and event 2. (h and i) The convexity distribution for thinly coated (black), partly coated (light green), and embedded (olive green) soot for event 1 and event 2.

2.3 Parameterization of Soot Morphology

Soot particles are considered to be fractal-like aggregates, because they exhibit self-similar structures over several length scales [Oh and Sorensen, 1997]. Thus, they can be described using a mass fractal dimension (Df) [Mandelbrot, 1982]. For particles with Df < 2, Df can be calculated from 2-D images using the ensemble method [Oh and Sorensen, 1997; Wentzel et al., 2003] (see the supporting information). The soot particles collected at the PMO were typically highly compacted (with expected Df > 2); therefore, we did not use the ensemble method to estimate the scaling law. Instead, we used the measurable projected area of the aggregate (Aa) and its maximum length (Lmax) [Lee and Kramer, 2004] given by
urn:x-wiley:00948276:media:grl52536:grl52536-math-0001(1)
where we assumed the logarithm of Aa to be proportional to the logarithm of the particle mass. We underline that the power law exponent, D2f represents a 2-D estimate of the fractal dimension that should be proportional but not equal to Df. We applied the power relation (equation 1) using ensembles of soot particles to provide a measure of the fractal morphology of compact soot, inclusive of coating material filling voids between monomers.

The size of each particle was estimated from 2-D SEM images and is expressed in terms of the projected area equivalent diameter, DAeq. We used roundness and convexity to further quantify the compactness of soot (Figure S3 in the supporting information). Details on the image processing and morphological parameters are described in China et al. [2014].

2.4 Modeling of Soot Optical Properties With Different Compaction

We modeled climate-relevant optical properties of soot using synthetic soot particles that closely mimic the characteristics of aerosols sampled at the PMO. We generated the synthetic aggregates using a random walk algorithm [Richard et al., 2011] with an average monomer diameter of 34 nm as measured from the PMO samples. We used three different values for the numbers of monomers (N) based on the analysis of the PMO samples: 66, an intermediate value of 150 considering the range of observed monomer overlaps in thinly coated particles, and a high value of 247 considering a constant packing density of 0.36 [Radney et al., 2014; Zangmeister et al., 2014] (see supporting information). Furthermore, we generated synthetic soot aggregates with different levels of compaction: lacy (1.83 < Df < 1.87), semicompact (2.00 < Df < 2.40), and highly compact (Df > 2.67) (Table S1 and Figure S6 in the supporting information).

The optical properties of the observationally constrained synthetic particles were calculated at 10 wavelengths, ranging from 370 nm to 950 nm, using the discrete dipole approximation (DDA-DDSCAT7.3 code) [Draine and Flatau, 1994, 2013]. The wavelengths were selected according to channels used by several remote sensing and in situ instruments. We used a wavelength-dependent refractive index for soot [Chang and Charalampopoulos, 1990]. The optical properties were averaged over 1000 random synthetic particle orientations sufficient to obtain DDA solution convergence for soot aggregates [Scarnato et al., 2013]. A detailed description of the methods for the aggregate generation and DDA simulations is provided elsewhere [Scarnato et al., 2013].

We numerically investigated the sensitivity of the spectral optical properties to compactness, neglecting the possible effect of coating. For comparison, soot optical properties were also modeled using Mie theory assuming spherical particles with the same mass-equivalent diameters [Mätzler, 2002].

3 Results and Discussion

3.1 Mixing States of Soot Particles

We analyzed a total of 1317 particles for event 1 and 806 for event 2. The relative abundance of soot particles in event 2 was almost double (~54%) than that in event 1 (27%). Soot particles at PMO were typically highly compact (Figures 2a–2c), while lacy chain-like soot aggregates were rarely observed.

Freshly emitted soot is typically bare or very thinly coated lacy structure [Wentzel et al., 2003; Adachi et al., 2007; China et al., 2014]. During atmospheric processing, soot mixes with other compounds yielding different mixing configurations and sometimes soot restructuring. The fractions of soot mixing categories are shown in Figure 2g. We found a higher fraction of embedded and partly coated soot (87%) in event 2 than in event 1 (57%) and a higher fraction of thinly coated soot in event 1 (37%) than in event 2 (9%), suggesting different atmospheric processing. Condensation of coating material may have been prominent for the less aged soot during event 2; however, it is also possible that the mixing material of the two events had different volatilities. The fraction of partially encapsulated soot was small for both events (<7%), suggesting that coagulation processes were not significant. In addition, semiquantitative EDS analysis showed that embedded particles contained C and O, suggesting that the embedding material was likely organic with a small, but detectable fraction of S. However, for both events the relative abundance of S was higher for the partially encapsulated particles than for the embedded particles (Table S2 in the supporting information). Similarly, in clean air above the remote Southern Ocean near Tasmania, Pósfai et al. [1999] found that 10–45% of the sulfate particles contained soot.

3.2 Morphology of Soot Particles

The fractal dimension of soot reflects its aging and is affected by several factors, including emission sources, emission conditions, and atmospheric processing pathways [Adachi et al., 2007; Chakrabarty et al., 2014]. Compact soot particles have greater Df than lacy aggregates [Liu et al., 2008]. For example, soot aggregates in Figures 2b and 2c presumably had a 3-D Df close to 3 or a 2-D fractal dimension D2f close to 2. On average, D2f estimated using equation 1 was greater for event 2 (1.89 ± 0.02) than for event 1 (1.82 ± 0.02) (Figure S5 in the supporting information). Greater D2f reflects more coating or more compactness. In Table 1, we report the D2f values for the three classes of soot.

Table 1. Morphological Parameters of Thinly Coated, Partly Coated, and Embedded Soot Particlesa
n DAeq (nm) Convexity RN D2f k2
E-1 E-2 E-1 E-2 E-1 E-2 E-1 E-2 E-1 E-2 E-1 E-2
Thinly coated 153 36 249 (8) 245 (20) 0.85 (0.01) 0.79 (0.01) 0.60 (0.01) 0.50 (0.02) 1.81 (0.04) 1.85 (0.08) 0.37 (0.02) 0.32 (0.04)
Partly coated 189 230 262 (9) 206 (7) 0.84 (0.01) 0.82 (0.01) 0.57 (0.01) 0.55 (0.01) 1.81 (0.03) 1.88 (0.03) 0.35 (0.02) 0.36 (0.02)
Embedded 46 122 283 (13) 236 (12) 0.88 (0.01) 0.85 (0.01) 0.61 (0.01) 0.57 (0.01) 1.84 (0.07) 1.90 (0.04) 0.40 (0.03) 0.39 (0.02)
  • a Number of particles analyzed (n), area equivalent diameter (DAeq), convexity, roundness (RN), power law exponent, or 2-D fractal dimension (D2f), and 2-D prefactor (k2). E-1 represents event 1, and E 2 represents event-2. In parenthesis: standard errors for D2f and k2 calculated from the uncertainty in the least squares fit and standard errors for the other parameters.

Embedded soot for event 1 had the largest average DAeq, followed by partly coated and thinly coated soot, suggesting that the size of the particle increased with coating (Table 1). In contrast, the difference in the sizes of embedded and thinly coated soot in event 2 was small, suggesting that the soot cores might have been smaller in size or that the coating was thinner than for the particles in event 1. The details of the size distributions for the different soot types are discussed in Figure S4 in the supporting information. Note that thinly coated soot particles observed at the PMO often exhibited compact round aggregated shape, characterized by little void space between the monomers. The distribution of convexity (roundness; Figure S4 in the supporting information) for thinly, partly coated and embedded soot is shown in Figures 2h and 2i. Thinly coated soot particles were more compact in event 1 (convexity = 0.85) than in event 2 (convexity = 0.79), possibly due to the fact that particles during event 1 were likely more aged and processed. However, for both events, the thinly coated soot was highly compact compared to freshly emitted soot collected, for example, near freeway on-ramps (convexity = 0.69) [China et al., 2014].

A recent laboratory study showed that oxidized (OH initiated) soot adsorbed water upon humidification and turned into efficient CCN, leading to additional soot compaction [Khalizov et al., 2013]. Therefore, cloud or water processing may have been responsible for the compact shape of the thinly coated soot abundantly observed at PMO. Several previous laboratory studies reported the collapse of soot under the influence of water [Weingartner et al., 1995; Mikhailov et al., 1999; Lewis et al., 2009; Radney et al., 2014; Zangmeister et al., 2014]. It has been hypothesized that the capillary forces induced during condensation or filling of soot cavities with water may be responsible for the soot restructuring [Tritscher et al., 2011]. However, others argue that capillary forces during the evaporation of water, instead of the condensation, drive the restructuring of soot [Ebert et al., 2002; Ma et al., 2013]. The collapse of soot leads to a reduction in its surface area compared to freshly emitted soot.

3.3 Optical Properties of Soot Particles

We assessed the sensitivity of the soot optical properties to compaction by performing DDA simulations. Figure 3 (top) contains the Cabs and Csca cross sections, single scattering albedo (SSA), and the asymmetry parameter (g) normalized by the corresponding values obtained for lacy soot. Simulations are shown for three different numbers of monomers (N = 66, 150, and 247). We found a wavelength dependence in the Cabs ratio (Cabs-highly compact/Cabs-lacy) as a function of compactness. Highly compact soot aggregates have slightly greater Cabs compared to the lacy soot for wavelengths larger than 500 nm, while the opposite is true for shorter wavelengths. Using T matrix, Liu et al. [2008] also found a similar pattern and suggested two possible reasons: (1) as particles become more compact, less of the absorbing material is directly exposed to the incident light, resulting in lower Cabs [Scarnato et al., 2013], and (2) Cabs increases for compacted particles due to an increased electromagnetic interaction between monomers [Liu et al., 2008], and this second effect seems to dominate at longer wavelengths.

Details are in the caption following the image
Normalized (ratio) absorption and scattering cross sections, single scattering albedo (SSA), asymmetry parameter (g), and top of the atmosphere direct radiative forcing (DRF) as functions of wavelength for three cases of number of monomers (N = 66, square; N = 150, round; and N = 247, triangle points). The blue solid line represents a ratio of one. We used the cross sections, SSA, and g of lacy soot as normalizing values. The inset shows the morphology of the synthetic soot used in the simulations for one of the number of monomers (N = 66) cases. The synthetic particles represent highly compact, semicompact, and lacy soots from left to right. RF ratios for low surface albedo (a = 0.06) are represented in black and red and for high surface albedo (a = 0.8) in gray and light red (data in Table S4 in the supporting information).

The Csca ratio (Csca-highly compact/Csca-lacy) is >1.5 for N = 66, and >2.0 for N = 150 and N = 247 in the visible wavelength range, but the ratio decreases (although always >1) in the near-infrared. The Csca ratio is the highest (2.66) for N = 247 at 660 nm for highly compact soot. As the effect of compaction is substantially greater for scattering than for absorption, the SSA increases as the lacy soot collapses [Abel et al., 2003]. Increased SSA and extinction have also been recently demonstrated in laboratory-generated soot compacted by water processing [Radney et al., 2014]. The SSA ratio (SSAhighly compact/SSAlacy) decreases as the wavelength increases. The g factor is a function of both particle size and shape [Liu et al., 2008; Kahnert et al., 2012]. We found that lacy soot has a higher g compared to the semicompact and highly compact soot with N = 60. However, g exhibits a different behavior for N = 150, with semicompact soot having higher g, followed by lacy and highly compact soot. Similarly, Liu et al. [2008] found that g reaches the highest value for a Df~2 and starts decreasing as the particle becomes more compact. Furthermore, we computed the optical properties of soot with the same mass-equivalent diameter using Mie calculations to investigate how closely they approach the DDA values. SSA estimated using Mie is within ~19% ([SSADDA-SSAMie]/SSADDA) of the DDA value for highly compact soot, whereas it differs considerably for lacy soot (~149%) for all three cases of N at 525 nm (Figure S7 in the supporting information).

We estimated the ratio of the top of the atmosphere direct radiative forcing (TOA-DRF) for semicompact and highly compact soot with respect to lacy soot. We performed the calculations following the conceptual formulation by Chylek and Wong [1995]. Since the surface albedo (a) has an important role in determining the TOA-DRF, we performed the calculations for two extreme values: a = 0.06 and 0.8 (see supporting information for details) that represent a lower limit for the ocean albedo and an upper limit for the cloud albedo, respectively. The ratio of the TOA-DRF is close to 1 or ≪ 1, depending on compactness, number of monomers, and surface albedo (Figure 3, bottom graph). Compaction due to aging typically results in a reduction of the soot TOA-DRF for both values of a. For high surface albedo (a = 0.8) the TOA-DRF estimated from DDA differs substantially from Mie for lacy and semicompact soot having a normalized ratio [DRFDDA-DRFMie]/DRFDDA ≤28%; however, it differs by <12% for highly compact soot over the studied range of wavelengths and N (Figure S8 in the supporting information). Note that the effects of soot coating were not considered here. Coating would increase the absorption but would also result in much higher scattering, and the SSA would increase with coating. For example, SSA can increase by a factor of ≤3 at 670 nm depending on the coating material and mixing scenarios [Cheng et al., 2014]. Therefore, our calculations that neglect the coating effect represent a lower limit for the SSA increase.

As mentioned earlier, soot particles observed at PMO were likely cloud processed. Cloud processing is likely the reason for the highly compact shape with minimal coating. Soot particles may have been incorporated into water droplets or ice crystals during long-range transport. A recent T-matrix study [Mishchenko et al., 2014] on soot-water mixtures shows that orientation-averaged Cabs strongly depends on soot morphology and the position inside a water droplet. Orientation-averaged Cabs of a soot-water mixture is larger for lacy soot than for compact soot, and Cabs tends to decrease as the soot particle moves from the center of the droplet to the boundary. This effect implies that the soot morphology may have an important role in the semidirect effect as well, with soot compaction resulting in a lower in-cloud absorption and therefore lower positive forcing.

4 Conclusions

In this study, we investigated the morphology and mixing state of soot particles sampled during two events of long-range transport in the North Atlantic free troposphere with different transport times. Due to the unique location of the PMO, the results from this study provide a more generalized representation of the morphology and mixing state of aged soot particles than typical point measurements. The predominance of compact soot aggregates (~70% of soot particles with convexity ≥0.80), probably due to cloud processing, suggests that these structures may be very common in the free troposphere in remote marine environments. The quantitative parameters measured were used in numerical simulations that further demonstrated that the soot forcing strongly depends on the particle morphology for a given soot mass. We found that compaction leads to an overall increase in SSA and a reduction of TOA-DRF compared to lacy soot of the same mass.

The results of this study contribute to a better understanding of the following: (1) how microphysical processes may, in different environments, affect mixing and morphology of soot; (2) how the variation of soot morphology may affect its optical properties; and (3) the impact of morphology on the soot radiative forcing. The results of this study have implications on how soot should be represented in particle-resolved mixing states [Riemer et al., 2009] and chemical transport models [Wang et al., 2013] in remote regions of the free troposphere, and how the representation of soot morphology may affect the calculation of the soot radiative forcing in regional and global climate models [Kahnert and Devasthale, 2011]. These results also suggest that Mie calculations, which are often used in global models may provide a reasonable estimate (within 12%) of the TOA-DRF for highly compact soot particles above clouds such as those observed in remote free tropospheric environments at the PMO. Finally, these results call for future experiments to further constrain the frequency and the degree of soot compaction in remote regions.

Acknowledgments

The data for this paper are available upon request from the authors. This work was funded by the U.S. Department of Energy's Atmospheric System Research (grant DE-SC0006941), the National Science Foundation (grant AGS-1110059), NASA's Earth and Space Science Graduate Fellowship (grant NNX13AN68H), and the Earth Planetary and Space Sciences Institute at Michigan Technological University. We thank C. Sorensen for insightful discussions on the fractal dimension and Jesse Nordeng and Kyle Gorkowski for helping in developing the SEM sampler. We are grateful for the pioneering work of the late Richard Honrath in establishing the PMO site.

The Editor thanks two anonymous reviewers for their assistance in evaluating this paper.