1. Introduction
Giant aerosol particles (e.g., Johnson 1976; dry radius rd > 0.5 μm; sometimes also called coarse-mode aerosol) and ultragiant aerosol particles (rd > 5 μm) constitute an important part of the atmosphere’s aerosol populations, in particular as they may contribute to a significant part of the total aerosol mass (Willeke and Whitby 1975). Giant aerosol particles have many sources, including marine (sea salt; Woodcock 1953; Lewis and Schwartz 2004; Andreae and Rosenfeld 2008; sulfate; Mouri et al. 1995), land surface (mineral dust; Johnson 1976; Hobbs et al. 1985; Weinzierl et al. 2017), biological (pollen, spores, and plant fragments; Matthias-Maser and Jaenicke 1994), industrial (e.g., pulp mill effluent; Hindman et al. 1977), and biomass burning (e.g., ash; Hobbs and Rangno 2004).
Giant and ultragiant aerosols, in particular sea salt, may play an important role in the formation of warm rain (e.g., Houghton 1938; Woodcock and Gifford 1949; Woodcock 1952; Johnson 1982; Tzivion et al. 1994; Cooper et al. 1997; Feingold et al. 1999; Szumowski et al. 1999; Lasher-Trapp et al. 2001; Rosenfeld et al. 2002; Blyth et al. 2003; Saleeby and Cotton 2004; Geresdi and Rasmussen 2005; Levin et al. 2005; Jensen and Lee 2008; Mechem and Kogan 2008; Knight et al. 2008; Arthur et al. 2010; Lowenstein et al. 2010; Rosenfeld et al. 2010; Freud and Rosenfeld 2012; Jung et al. 2015; Dagan et al. 2015; Jensen and Nugent 2017; Dadashazar et al. 2017) and their effects may be important for weather and climate prediction. The magnitude of the impact is controversial, with some studies suggesting only a small impact (e.g., Zhang et al. 2006; Knight et al. 2008; Lasher-Trapp et al. 2008; Hudson et al. 2009; Reiche and Lasher-Trapp 2010; Gerber and Frick 2012; Minor et al. 2011). Many of the above individual studies point to situations where the impact may be important, and to other situations where giant aerosol particles may not be important (e.g., Knight et al. 2008; Kogan et al. 2012; Dagan et al. 2015). Although first suggested more than 80 years ago (Houghton 1938), the effect of giant and ultragiant aerosol particles on warm rain formation has only recently been included in calculations of climate change (Posselt and Lohmann 2008).
Taken together, these prior studies indicate that it is extremely important to have accurate, high-sample-volume measurements of giant aerosol particles in order to be able to assess the impact of such aerosol particles on warm rain formation and for other reasons. Measurements of giant and ultragiant aerosol particles are rare as they are difficult and time consuming to sample, especially given that the concentration of these particles is typically very low, on the order of 0.1–1 cm−3 (marine air; Woodcock 1953); thus there is incomplete knowledge about their concentration, size, physiochemical composition, and spatial distribution.
Aerosol particles impacted on external glass slides (e.g., Woodcock and Gifford 1949) can be sized by optical microscopy, but this is usually a labor-intensive process which limits the amount of sampling and analysis. By doing the analysis at high relative humidity (Woodcock and Gifford 1949), it is possible to discriminate between hygroscopic particles and nonhygroscopic particles. Salt particles will form solution-droplet spherical caps on the slide, and laboratory measurements of vapor pressure over salt solutions can be used to calculate the salt mass based on the volume of the spherical cap, the chamber humidity, and the assumed salt composition. For free-stream sampling from aircraft, impactors with an exposed sample area of 1 cm2 can typically sample 10 L s−1 depending on flight speed, and this provides large sample volumes for analysis. Short exposure times are particularly advantageous because it makes it possible to sample giant aerosol size distributions in cloud inflow air for individual clouds.
When sampling from an aircraft, internal filter and impactor samples can be used to analyze giant aerosol particles with high size resolution. In combination with electron microscopy techniques (e.g., Okada 1983; Mouri et al. 1995; Lasher-Trapp et al. 2008), samples may give detailed information on the size and chemical composition of individual particles. The main problem with airborne sampling using instrumentation in the cabin is that large particles cannot be decelerated sufficiently in air inlets to avoid particle impaction on the curved part of the inlet tubes. Such collisions may also lead to shattering of particles, thus distorting the size distribution. The severity of large particle loss varies among inlets; for example, Blomquist et al. (2001) quote a 50% passing efficiency for particles of 1.5 μm radius for the National Center for Atmospheric Research community aerosol inlet. Other more advanced inlets, such as the Counterflow Virtual Impactor (CVI; Noone et al. 1988) and the Low Turbulence Inlet (LTI; Wilson et al. 2004; Huebert et al. 2004) have higher passing efficiencies for giant aerosol particles, but they both still suffer from particle loss for larger particles. Huebert et al. (2004) speculated that the passing efficiency changed as the walls of the tubing gradually became coated with salt aerosols in the course of many flight hours. The same study only examined particles with a maximum of 3.5 μm aerodynamic radius; at 80% relative humidity this would correspond to a dry sea-salt radius of only about 1.6 μm.
Aerodynamic particle size spectrometers (e.g., TSI 3321) may be used to size giant aerosol particles using a laser velocimeter to determine the particle aerodynamic size. Such instruments may be able to size particles up to 9.1 μm radius (4.6 μm dry radius, if sea-salt aerosol are measured at 80% relative humidity), but for airborne use these instruments are affected by the same air intake losses as explained above for other internal instruments. The aerodynamic particle sizers typically operate with a small sample volume of 17 cm3 s−1, i.e., about a factor 500 less than external impactors. One characteristic of aerodynamic particle sizers is that ambient particle sizes are measured, unless the air is preheated (using heaters or dynamic heating due to deceleration) prior to entering the instrument. For an aircraft flying at 105 m s−1, the dynamic heating is roughly 5 K, which may lead to a 30% reduction in relative humidity, and this may significantly impact the measured aerosol size. For many applications it is necessary to calculate the dry mass of an aerosol particle, thus it is important to know if the aerosol particle at the time of measurement is at ambient size, dry size, or some intermediate size.
External optical scattering probes [e.g., PMS forward scattering spectrometer probe (FSSP) and DMT cloud droplet probe (CDP)] can size giant aerosol particles automatically (e.g., Lasher-Trapp and Stachnik 2007; Lowenstein et al. 2010). As they measure an optical radius, which is defined as the radius of a particle with a specified index of refraction that scatters a given amount of light, such instruments cannot distinguish sea-salt particles from more dilute cloud drops composed of other substances. Due to the Mie curve for pure water drops being multivalued (a given amount of scattered light may have resulted from drops of several different sizes), such probes have considerable sizing uncertainty (see, e.g., Pinnick et al. 1981; Cox et al. 2019). Scattering probes, such as the FSSP, have typical sample volumes of about 20 cm3 s−1 or less, and so require about 12 h of flight to sample 1 m3 of air. Cabin-mounted aerosol spectrometers (e.g., TSI 3340; Murphy et al. 2019) will also be limited by inlet losses for larger particles.
Imaging probes (e.g., PMS 260-X optical array probe, 10 μm resolution) or digital cameras (e.g., SPEC CPI, 2.3 μm resolution) may also be used to determine giant aerosol concentrations and size distributions (e.g., Lasher-Trapp and Stachnik 2007), and for the higher-resolution probes like the CPI, it may be possible to make rough estimates of solubility through examination of the particle shape.
Although laser probes have the advantage of automation, external impactors in free-stream provides much larger sample volumes (≈10 L s−1, or about a factor 500 higher than an FSSP probe), high size resolution, large size range, and the ability to discriminate among hygroscopic and nonhygroscopic material. External impactors also have several disadvantages due to impact splashing and breakup, and due to coalescence between particles on the slide. These potential problems will be examined in a companion paper (J. B. Jensen et al. 2020, unpublished manuscript hereafter referred to as Part II).
In the following we describe the construction and operation of the Giant Nucleus Impactor (GNI), an automatic system for analysis of giant and ultragiant nuclei captured on external impaction slides. Section 2 describes the manual impaction system, and in section 3 we document the hardware used for the automatic humidity-controlled optical microscope system. The software algorithms used to determine particle sizes and shapes are presented in section 4, and the equations for determining the soluble particle mass are given in section 5. The calculation of sample volume is described in section 6. Handling of the slides may lead to contamination, which can lead to false counts; the investigation of blank “control slides” is presented in section 7. In section 8 we show some results from a field experiment, and section 9 contains a summary.
2. Slides and impactor
The impaction slides are injection-molded polycarbonate slides with a width of 6.37 mm (Fig. 1). The effective area used for analysis is 4.4 mm wide and 20.7 mm long. The reduction in analyzed width is done to avoid the slide edge regions that (due to the manufacturing process) may be slightly curved, thus making focus difficult or impossible in the microscope. The slides are spring-loaded onto a 6.35 mm stainless steel rod before exposure (Fig. 2). The steel rod is cut to provide a flat 6-mm-wide surface behind the slide, i.e., slightly narrower than the polycarbonate slide.

Photo of a molded polycarbonate slide. The flat surface is 23 mm long × 6.37 mm wide, and it is mounted perpendicular to the airflow during exposure. The photo also shows a storage test tube, including blue desiccant and a foam plug.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Photo of a molded polycarbonate slide. The flat surface is 23 mm long × 6.37 mm wide, and it is mounted perpendicular to the airflow during exposure. The photo also shows a storage test tube, including blue desiccant and a foam plug.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Photo of a molded polycarbonate slide. The flat surface is 23 mm long × 6.37 mm wide, and it is mounted perpendicular to the airflow during exposure. The photo also shows a storage test tube, including blue desiccant and a foam plug.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

The impaction strut, mounted on the NSF/NCAR C-130 research aircraft, with a slide fully exposed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

The impaction strut, mounted on the NSF/NCAR C-130 research aircraft, with a slide fully exposed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
The impaction strut, mounted on the NSF/NCAR C-130 research aircraft, with a slide fully exposed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
The slides were uncoated as water has a very high contact angle, typically 82°, on polycarbonate (Accu Dyne Test 2019). The slides are stored individually in capped test tubes prior to and after exposure from the aircraft; the sample tubes are desiccated individually with an open-cell foam plug between slides and desiccant (Fig. 1).
The polycarbonate slides are exposed to the airstream using a system that is operated manually from inside the aircraft. An airfoil shaped strut of length 500 mm is used to hold the steel rod and microscope slide in place during the exposure (Fig. 2). Inside the aircraft, a double air-lock system is used to enable slides to be exposed from a pressurized cabin. The slide rod is extended through the airlocks, through the 500 mm strut and a further 100 mm from the airfoil strut, thus exposing slides 600 mm from the skin of the aircraft. A brass sleeve covers the slide until the last 30 mm of the extension. Thus, apart from the time taken to mount and unmount the slide on the steel rod, the slide is only uncovered during the actual external exposure. The exposure time (typically 5–15 s near sea surface) is recorded with a triggered electric contact during slide exposure. In an attempt to have the slide facing perpendicularly to the approaching airflow, the slide is angled down by about 2° during exposure in order to counteract the typical C-130 pitch angle (1.5°–2.5°, aircraft nose up) during low altitude flying. The width of the slide is important for the collision efficiency of aerosol particles with the slide (see section 6), whereas the potentially important effects of drop shattering in high-speed impact is detailed in Part II.
3. The microscope system
The GNI microscope system is an optical microscope with two digital cameras, a large motorized x–y stage, a z motor drive for focusing the vertical camera, and a system for providing humidified air (Fig. 3). The entire system is designed to run using computer control with minimal operator input after startup. The microscope can handle 40 polycarbonate slides in a batch. The image acquisition for each slide takes about 3 h, the subsequent analysis of the image data to determine aerosol sizes takes another 3 h per slide, and it takes about 2 h for loading and unloading slides, and for configuring the acquisition program and analysis program for a batch of 40 slides.

Schematic of the GNI optical microscope system. Two glass slide chambers (only one shown), each with 20 polycarbonate slides, are installed in the center of a two-axis motorized stage. The main microscope and camera system views vertically from the top. A second view of some of the aerosol particles can be obtained using the horizontal microscope seen in the upper left; this microscope is used to obtain shape information for selected aerosol particles. The saturated salt bubbler, part of the humidity control system, can be seen in the bottom part of the figure. Air circulates from the salt bubbler, through a filter, and into the slide chambers. From there the air is returned through the pump and to the salt bubbler. The entire GNI microscope system is inside a 0.6 m3 chamber that is temperature controlled at 33.7°C.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Schematic of the GNI optical microscope system. Two glass slide chambers (only one shown), each with 20 polycarbonate slides, are installed in the center of a two-axis motorized stage. The main microscope and camera system views vertically from the top. A second view of some of the aerosol particles can be obtained using the horizontal microscope seen in the upper left; this microscope is used to obtain shape information for selected aerosol particles. The saturated salt bubbler, part of the humidity control system, can be seen in the bottom part of the figure. Air circulates from the salt bubbler, through a filter, and into the slide chambers. From there the air is returned through the pump and to the salt bubbler. The entire GNI microscope system is inside a 0.6 m3 chamber that is temperature controlled at 33.7°C.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Schematic of the GNI optical microscope system. Two glass slide chambers (only one shown), each with 20 polycarbonate slides, are installed in the center of a two-axis motorized stage. The main microscope and camera system views vertically from the top. A second view of some of the aerosol particles can be obtained using the horizontal microscope seen in the upper left; this microscope is used to obtain shape information for selected aerosol particles. The saturated salt bubbler, part of the humidity control system, can be seen in the bottom part of the figure. Air circulates from the salt bubbler, through a filter, and into the slide chambers. From there the air is returned through the pump and to the salt bubbler. The entire GNI microscope system is inside a 0.6 m3 chamber that is temperature controlled at 33.7°C.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
a. Microscope and camera
The exposed polycarbonate slides are inserted into small cassettes, each capable of holding four slides. Five cassettes are then inserted into a small sealed glass chamber, and two of these glass chambers can be mounted next to one another in the microscope system; see Fig. 3. Thus, the system has the capacity to analyze 40 slides in a batch by moving the slides in two dimensions relative to the microscope.
The GNI microscope (Table 1) is a custom microscope with dual columns; the primary optical column is vertical, looking perpendicular onto the slides in order to image the perimeter of particles on the glass slides. The other optical column is mounted to give a near-horizontal view of the particles; this camera views slightly downward at an angle of 3° to the slide surface. It is only used in a manual mode to obtain the aspect ratio of the deliquesced particles (section 5). The objectives are designed to image through glass up to 1.1 mm thick; this allows for viewing slides through the top and sidewalls of the slide glass chamber. Each microscope column is fitted with a monochrome digital camera with 1600 × 1200 pixel resolution. For a 20× objective and with 7.4 μm square camera pixels, the effective pixel size on the slide is 0.37 μm with a field of view of 592 μm × 444 μm for each image. A slide contains a total of 10 × 35 independent camera views (images) to cover a total area of 0.92 cm2. The cameras are operated in 8-bit depth digitization mode. A shutter is mounted in front of the vertical column camera; this is used to acquire dark images for illumination equalization (section 4b). Each microscope has a separate light source using fiber-optic-coupled halogen light sources to give broadband white light.
GNI microscope system components.


b. Scanning stage
A large horizontal x–y stage is used to scan over a slide and move between the 40 slides in the two chambers. A z drive moves the vertical column and camera up and down in order to obtain the optimum focus. Image acquisition, stage control including focus, and temperature control are all accomplished using an NCAR-developed program with standard hardware (Table 1).
c. Temperature control
The entire microscope system and air humidifying system (using a supersaturated KNO3 salt bubbler) is placed in an insulated temperature-controlled enclosure which is maintained at 33.7°C. Temperature is measured with an accuracy of ±0.34°C in the large enclosure of the microscope, above the salt bubbler, and at the exit of the slide chamber. Temperature stability of the enclosure air is about 0.1°C, while that of the salt and chamber is about 0.02°C over a 36-h period.
d. Air humidifier
The humidity system (Fig. 3) ensures that sea-salt particles deliquesce and form spherical cap solution drops while the slides are in the glass chambers. The humidity system has a nearly closed loop of continuously circulating air that passes from an air pump, bubbling through a glass u tube with a saturated salt solution, through a particulate filter, through the glass chambers with the slides, and then back to the pump. The aim is to provide a relative humidity of about 90% by passing the air over a saturated KNO3 solution.
After loading the slides into the microscope glass chambers, and after inserting the chambers into the microscope cabinet, the microscope cabinet is allowed to heat to a stable temperature of about 33.7°C. Acquisition of microscope images typically starts more than 12 h later in order to have instrument at thermodynamic equilibrium. The 12-h period also allows for the aerosol particles to attain their equilibrium size. The temperature inside the microscope cabinet (Tc) is logged every time a microscope image is acquired. This temperature is used to calculate two vapor pressures: (i) Eq. (4) in Apelblat and Korin (1998) is used to calculate
The elemental composition of selected particles on selected slides were determined using energy-dispersive X-ray analysis (EDXA). This was done to investigate if part of the KNO3 solution in the bubbler could be carried to the slides in the microscope chamber, although an inline filter was meant to prevent this. In a laboratory at the University of Colorado Department of Geology, a microprobe was used to examine the aerosol material on the slides. The vast majority of material was Na, Cl, and several minor components from sea salt; very little nitrogen was found, thus suggesting the hygroscopic properties of the aerosols (even after about 5 days in the humidified microscope) was consistent with largely unmodified sea salt.
There are several reason for selecting a relative humidity of about 90%. Sea-salt particles form spherical solution drops at relative humidity above about 74% (spherical caps on the microscope slide). Thus, when viewed from above, they form a nearly circular pattern on the microscope images. This will contrast with particles consisting, for example, of mineral dust, pollen, or other biological material, which will largely retain their dry sizes at this relative humidity. Mineral dust, even with small amounts of soluble coatings (e.g., sulfates) on the surface, is unlikely to show the circular pattern on the images, and the particle perimeter can thus be used to differentiate between salt and other particles. The 90% relative humidity is also advantageous as the sea-salt particles will have grown somewhat from their dry size (the spherical cap base radius on the images is typically 3 times the aerosol dry spherical radius), and this will make identification and sizing more accurate. Increasing the relative humidity much higher to near 100% [Woodcock and Gifford (1949) used 99%] will make sea-salt particles grow much more; this is more likely to lead to coalescence among solution drops on the slides, which is to be avoided, and sizing actually becomes more uncertain as the equilibrium solution drop radius increases rapidly with even a small change in relative humidity.
e. Focus
The microscope has a 1 μm depth of field, thus the microscope surface must be very flat and the slide must be mounted perpendicular to the primary vertical microscope optical axis. Accordingly, an autofocus algorithm was implemented which lowers the vertical microscope and then records images while the column is stepped upward in small increments. At each vertical 0.3 μm step, an image is recorded and a focus quality parameter s is calculated as
where Nx = 1600 and Ny = 1200 are the numbers of pixels along and across the camera CCD, and Px,y is the light intensity for pixel (x, y); complete symbol lists are given in Tables 2a–c. Note that the sum was only carried out for those pixel pairs that have
Symbol list.


Symbol list, continued.


Symbol list, continued.


4. Analysis of images
a. Sample images
The microscope acquired data are published in Jensen and Beaton (2019). An example of a single slide image is shown in Fig. 4. The slide was sampled during the 2008 VAMOS Ocean–Cloud–Atmosphere–Land Study (VOCALS) project off the coast of Chile; for an overview of VOCALS, see Wood et al. (2011). The image shows a large number of mostly circular particles (spherical cap solution drops of sea salt), and a few particles that are not quite round. There may be surface effects that cause minor deviations from circular images. Digitally overlaid on the image is a grid with a separation distance of 100 pixels (37 μm).

Image 133 of 350 images from slide 3 exposed from the C-130 in the marine boundary layer as part of the VOCALS project. A grid for each 100 pixels has been overlaid on the image, thus the grid separation is 37 μm. This particular slide was exposed on 1346:37.2–1347:03.5 UTC 18 Oct 2008 at an altitude of 150 m. The largest particle contains some undissolved material.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Image 133 of 350 images from slide 3 exposed from the C-130 in the marine boundary layer as part of the VOCALS project. A grid for each 100 pixels has been overlaid on the image, thus the grid separation is 37 μm. This particular slide was exposed on 1346:37.2–1347:03.5 UTC 18 Oct 2008 at an altitude of 150 m. The largest particle contains some undissolved material.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Image 133 of 350 images from slide 3 exposed from the C-130 in the marine boundary layer as part of the VOCALS project. A grid for each 100 pixels has been overlaid on the image, thus the grid separation is 37 μm. This particular slide was exposed on 1346:37.2–1347:03.5 UTC 18 Oct 2008 at an altitude of 150 m. The largest particle contains some undissolved material.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
The image also shows several other noteworthy features. Inside the largest particle is some material that is not dissolved. At 90% relative humidity this is unlikely to be salt, but it is possibly organic matter or marine insoluble carbonaceous material. Based on examination of thousands of images, such undissolved material, if present, constitute only a very small fraction of the solution drop volume. There is also evidence of an impact spreading circle around the largest particle; this will be discussed in Part II.
In the left part of a second example image (Fig. 5) there are two lightly shaded circular particles (see arrows); these may be particles with a high degree of organic surfactant coating (Finlayson-Pitts and Pitts 2005) that reduces the surface tension. The lower surface tension results in a flatter spherical cap solution drop, and thus a lighter shade of gray when viewed from above in the microscope. Typically, such particles occur only in a few percent of the total number of particles.

Image 51 from the same slide as shown in Fig. 4. The vast majority of particles show a near-uniform edge contrast and shading. Two particles are much lighter; see arrows in the left part of the image. We hypothesize that these are much “flatter” spherical cap drops, with the reduction in height likely being caused by unusually strong organic coatings. Such organic coatings reduce the surface tension of the drops.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Image 51 from the same slide as shown in Fig. 4. The vast majority of particles show a near-uniform edge contrast and shading. Two particles are much lighter; see arrows in the left part of the image. We hypothesize that these are much “flatter” spherical cap drops, with the reduction in height likely being caused by unusually strong organic coatings. Such organic coatings reduce the surface tension of the drops.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Image 51 from the same slide as shown in Fig. 4. The vast majority of particles show a near-uniform edge contrast and shading. Two particles are much lighter; see arrows in the left part of the image. We hypothesize that these are much “flatter” spherical cap drops, with the reduction in height likely being caused by unusually strong organic coatings. Such organic coatings reduce the surface tension of the drops.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
The following sections will describe in detail how images are analyzed and salt particle sizes are determined.
b. Illumination equalization
The digital cameras have very low noise and dark current values when not illuminated. Thus, it was not necessary to remove the dark pixel values from the signal in an image. However, the slide illumination intensity is not completely uniform due to the geometry of the cassettes holding the slides. Thus, the pixel values were fitted with a two-dimensional spline (function csa2d of the ngmaths library; NCAR/CISL 2019). The corrected pixel light intensity Ix,y was found from the raw pixel light intensity and the spline using
where Px,y is the raw pixel intensity value for pixel (x, y), Sx,y is the spline fit of Px,y, and
Next the median light level Im is found by ranking all 1200 × 1600 values of Ix,y for an image. The determination of a particle perimeter is based on shading to a threshold level, here chosen as 85% of Im. Thus, a pixel is considered shaded if its light intensity Ix,y is below the following threshold value:
c. Optical detection and habit classification
Particles on the stored images are detected using the above threshold approach. The images are scanned line by line, using Eq. (3) for determining shaded particles. Once a shaded pixel is found, a recursive eight-way connected-component algorithm is used to determine the shaded particles that touch one another, either on the sides of pixels or through corners of pixels. When all shaded pixels have been found for a given particle (i.e., all connected shaded pixels), a different algorithm is used to determine the particle perimeter. This recursive algorithm uses 4 directions, by requiring that an unshaded, external pixel must exist either above, to the right, below, or to the left of a pixel to identify it as a perimeter pixel. For the image shown in Fig. 4, the corresponding particle perimeters are shown in Fig. 6 (all particles, regardless of shape).

Particle perimeters calculated based on the image shown in Fig. 4. Blue color: Perimeter pixels of all round particles, which do not touch the image edge and which are identified as large sea-salt particles (for algorithms, see text). Red color: Perimeter pixels of (i) all irregular particles, (ii) all particles that touch the image edge, and (iii) round particles that are too small (for criteria, see section 6). Red particles are discarded from further analysis. Notice that many of the smallest particles can been seen in a circular area around the largest particle. Such impact-spreading circles will be further discussed in Part II.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Particle perimeters calculated based on the image shown in Fig. 4. Blue color: Perimeter pixels of all round particles, which do not touch the image edge and which are identified as large sea-salt particles (for algorithms, see text). Red color: Perimeter pixels of (i) all irregular particles, (ii) all particles that touch the image edge, and (iii) round particles that are too small (for criteria, see section 6). Red particles are discarded from further analysis. Notice that many of the smallest particles can been seen in a circular area around the largest particle. Such impact-spreading circles will be further discussed in Part II.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Particle perimeters calculated based on the image shown in Fig. 4. Blue color: Perimeter pixels of all round particles, which do not touch the image edge and which are identified as large sea-salt particles (for algorithms, see text). Red color: Perimeter pixels of (i) all irregular particles, (ii) all particles that touch the image edge, and (iii) round particles that are too small (for criteria, see section 6). Red particles are discarded from further analysis. Notice that many of the smallest particles can been seen in a circular area around the largest particle. Such impact-spreading circles will be further discussed in Part II.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
An example of the steps used in processing of the images is followed for the largest particle shown near the center of Fig. 6. The perimeter set of pixels for this round particle is shown in Fig. 7. The large × symbol shows the “center of gravity,” calculated on the basis of the perimeter pixels. To characterize the perimeter, a sequence of 64 regularly spaced radial lines emanating from the center of gravity were calculated. The intersection of each of these 64 lines with lines connecting the perimeter points was subsequently determined, and the distance (rα) from the center of gravity to the perimeter for each of the 64 lines was found.

Particle perimeter points as found by the shading threshold algorithms. The large × symbol is the center of gravity of the perimeter points. The analysis is done for the largest particle shown in Fig. 6.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Particle perimeter points as found by the shading threshold algorithms. The large × symbol is the center of gravity of the perimeter points. The analysis is done for the largest particle shown in Fig. 6.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Particle perimeter points as found by the shading threshold algorithms. The large × symbol is the center of gravity of the perimeter points. The analysis is done for the largest particle shown in Fig. 6.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
A simple requirement is then used for determining if a particle is “round.” If the standard deviation
As any particle that touches the edge of an image is not analyzed, this makes the sample area within an image dependent on particle size. This will be further discussed in section 6. The size of an individual particle is thus determined by averaging over 64 directions; to simplify the notation in the following sections, we will refer to the image determined radius of a particle as
d. Sizing of calibration beads
Six slides were prepared with polystyrene latex (PSL) beads of known sizes (nominally 2, 4, 7.5, 15, 25, and 35 μm; see also Table 3). These were then imaged in the GNI microscope in order to compare the microscope calculated mean bead size
Thus, the optical microscope sizing results in a small overestimate of the particle base radius size, for which Eq. (4) is used for correction. The value of the correction is only about 1–2 times the camera effective pixel size (0.37 μm), and the microscope optics resolution is approximately two pixels.

Image of 7.5-μm-radius calibration polystyrene latex (PSL) beads on a GNI slide. Focus was done manually on the bead perimeter, due to the different internal image intensity of the spherical PSL beads (very bright, this figure) as opposed to the somewhat darker centers of the spherical caps, see Fig. 4. Only nontouching beads were included in the image analysis.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Image of 7.5-μm-radius calibration polystyrene latex (PSL) beads on a GNI slide. Focus was done manually on the bead perimeter, due to the different internal image intensity of the spherical PSL beads (very bright, this figure) as opposed to the somewhat darker centers of the spherical caps, see Fig. 4. Only nontouching beads were included in the image analysis.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Image of 7.5-μm-radius calibration polystyrene latex (PSL) beads on a GNI slide. Focus was done manually on the bead perimeter, due to the different internal image intensity of the spherical PSL beads (very bright, this figure) as opposed to the somewhat darker centers of the spherical caps, see Fig. 4. Only nontouching beads were included in the image analysis.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

GNI measured mean bead radius
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

GNI measured mean bead radius
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
GNI measured mean bead radius
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
5. Determination of soluble mass
The second microscope viewing nearly horizontally (3°) was used to obtain the image shown in Fig. 10. The profile image shows a spherical cap drop nearly in profile and also a reflected image from the surface of the polycarbonate slide.

Side image of spherical cap drop from slide 20 exposed on 23 Oct 2008 during the VOCALS project. The cap is reflected in the slide to make the bottom half a mirror image.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Side image of spherical cap drop from slide 20 exposed on 23 Oct 2008 during the VOCALS project. The cap is reflected in the slide to make the bottom half a mirror image.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Side image of spherical cap drop from slide 20 exposed on 23 Oct 2008 during the VOCALS project. The cap is reflected in the slide to make the bottom half a mirror image.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Figure 11 shows geometric parameters for a spherical cap. A total of 164 side-looking digital images were used to obtain pairs of 2h (the distance from the top of the spherical cap to the bottom of the reflection in the glass, see vertical arrow in Fig. 10) and 2rb (side-to-side measurement of the spherical cap), see horizontal arrow in Fig. 10, after which the average spherical cap aspect ratio,

Geometry and variables used for the spherical cap calculation. The distance from the slide surface to the top of the spherical cap is h, and the radius of the base of the spherical cap is rb. The spherical cap is part of a sphere with radius rf. The spherical cap shown has an aspect ratio of h/rb = 0.85.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Geometry and variables used for the spherical cap calculation. The distance from the slide surface to the top of the spherical cap is h, and the radius of the base of the spherical cap is rb. The spherical cap is part of a sphere with radius rf. The spherical cap shown has an aspect ratio of h/rb = 0.85.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Geometry and variables used for the spherical cap calculation. The distance from the slide surface to the top of the spherical cap is h, and the radius of the base of the spherical cap is rb. The spherical cap is part of a sphere with radius rf. The spherical cap shown has an aspect ratio of h/rb = 0.85.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Count histogram of h/rb for manually analyzed spherical cap drops. The mean cap aspect ratio is 0.85 and the standard deviation is 0.09.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Count histogram of h/rb for manually analyzed spherical cap drops. The mean cap aspect ratio is 0.85 and the standard deviation is 0.09.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Count histogram of h/rb for manually analyzed spherical cap drops. The mean cap aspect ratio is 0.85 and the standard deviation is 0.09.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
From the radius of the base of the spherical cap (rb) and the above mean ratio of h/rb, the height (h) of the spherical cap drop can be calculated. The volume of the spherical cap (Vcap) is given by (see also Fig. 11)
For the rhs of the equation, see Harris and Stocker (1998, section 4.8.4).
From this volume, we can calculate the radius of a sphere (rc) with the same volume as the spherical cap:
The spherical cap forms part of larger sphere, with radius rf (Fig. 11) given by
Based on Köhler theory, the mass of salt in the large sphere (msf) can be calculated as shown in the next section. Subsequently, the mass of salt (ms) in the impacted particle is calculated by scaling with the volumes:
a. Sea-salt dry radius calculation
We assume that all qualifying round particles (when viewed from above) consist of sea salt. For sea salt in ocean water, the mole fraction of Na and Cl exceeds 90% of all sea-salt ions (Lewis and Schwartz 2004). Tang et al. (1997) have shown that the sizes of deliquesced sea-salt aerosols have hygroscopic behavior almost identical to those of NaCl particles for relative humidity values of 48% to more than 90%, and that sea salt may exist as solution droplets at larger than 45% relative humidity. More recently Zieger et al. (2017) have argued that the hygroscopic growth of sea salt is 8%–15% less that of pure NaCl. In the present study, we consider dry salt mass to be that of anhydrous salt; i.e., in contrast to Zieger et al. (2017) we exclude the amount of water bound in crystals as hydrates (e.g., MgCl2 hexahydrate and Na2SO4 decahydrate). Hence for the GNI analyzed particles, we calculate the dry aerosol mass and dry radius based on a sea-salt composition in accordance with Tang et al. (1997).
For a known rf [see Eq. (7)], chamber saturation ratio (Sc) and assumed chemical composition (sea salt), we can determine the sea-salt mass (msf) in a given particle from the Köhler equation (Pruppacher and Klett 1978):
Here σso is the surface tension of sea-salt solution against air, Rυ the gas constant for water vapor, Tc the chamber temperature, ρw and ρso the densities of water and sea-salt solution, ν the number of ions the salt molecule can dissociate into, Φ the practical osmotic coefficient, and Mw and Ms the molar weights of water and sea salt, respectively.
Whereas this is the full Köhler equation, here given in a form often used in the cloud physics literature, we can simplify it with little error. First, for dry sea-salt radii in excess of 0.7 μm (the smallest analyzed particle size with the present GNI microscope), the surface tension term [first term on the rhs of Eq. (9)] is negligible in comparison with the solution term [second term on the rhs of Eq. (9)] for the microscope chamber saturation Sc ≈ 0.9. Approximating the sea-salt drops as pure NaCl and omitting the surface tension term leads to less than a 0.2% error in the determination of the dry NaCl particle radius (for rd = 0.7 μm), with the error decreasing with increasing NaCl dry radius. This less than 0.2% error was determined by iterative solutions of Eq. (9) with and without the surface tension term.
By omitting the surface tension term, Eq. (9) for the full sphere with radius rf and sea-salt mass msf can be simplified to
where aw is the water activity (that is the ratio of equilibrium vapor pressure over a salt solution, relative to the equilibrium vapor pressure over pure water, both for a plane liquid surface).
With the same simplification, we can write Eq. (10) for the impacted particle (the spherical cap part of the full sphere) with radius rc [Eq. (6)] and salt mass ms as
However, Eq. (11) must be solved iteratively for ms, so instead the following procedure will be used to determine the sea-salt mass in each spherical cap drop.
Using a known sea-salt particle mass, a hygrometer, and an electrodynamic balance to ensure that suspended sea-salt solution droplets were in equilibrium, Tang et al. (1997) obtained measurements of water activity (aw) for seawater (sea-salt) solutions of different strengths. Tang et al. (1997) use a polynomial fit equation [their Eq. (1)] and values in their Table 2, to give water activity as a function of soluble weight percentage (salt mass divided by total solution mass, times 100). They also give a similar polynomial for the density of the solution as a function of soluble weight percentage.
However, in the present GNI microscope case, we know Sc and thus aw, but we need to calculate the mass fraction of sea salt (χ) in each spherical cap drop, i.e., the inverse situation of Tang et al. (1997). Thus from Tang et al.’s (1997) polynomial expression [their Eq. (1)], we create a table of values of sea-salt mass fraction (χ) and water activity (aw). A polynomial fit,
to the tabled values, is used to obtain χ as a function of aw; see Table 3. Thus based on the microscope measured radius of the base of the spherical cap droplets (rb) and the average aspect ratio of spherical cap drops (h/rb = 0.85), we can calculate the volume of the spherical cap drop [Vcap; Eq. (5)]. For a known saturation ratio in the slide chamber (Sc), by neglecting curvature effects (Sc ≈ aw), and under the assumption of sea salt in the spherical cap droplets, we can calculate the sea-salt mass fraction [χ; Eq. (12)] in each spherical cap solution drop. The density of the sea-salt solution (ρso) in the spherical cap drops, is a function of χ and can be calculated based on Eq. (1) in Tang et al. (1997) and using their Table 2 coefficients. Thus, the total mass (mt) of each spherical cap droplet is
from which the mass of sea salt in each spherical cap drop can be determined from
From
where ρs = 2200 kg m−3 is the density of dry (anhydrous) sea salt (Lewis and Schwartz 2004), we can solve Eq. (15) for the dry sea-salt mass in an impacted aerosol particle by
Here we have used Eqs. (14), (13), and (5). In addition we make use of the relationship between water activity and sea-salt mass fraction in a solution drop [Eq. (12)], the Tang et al. (1997) expression for sea-salt solution density, and our empirical relationship between spherical cap height and radius of base (h/rb = 0.85). Equation (16) is the key equation to relate the microscope determined spherical cap base size to sea-salt dry radius. At a relative humidity of 90%, the ratio of dry radius (rd) to spherical cap base radius (rb) is about 0.30.
Polynomial expression for mass fraction of sea salt (χ) in a water solution as a function of water activity; see Eq. (12).


b. Sizing effects due to high microscope cabinet temperature
The microscope cabinet is kept at a steady 33.7°C, whereas Tang et al. (1997) measured drop properties at 25°C; this leads to small differences in the solution density and mass fraction, relative to the Tang et al. (1997) conditions.
Based on the Pitzer et al. (1983) calculation of NaCl density as a function of temperature (their Table A-15; 3.0 mol kg−1 NaCl solution), we estimate that the density of a NaCl solution is 0.36% lower at T = 33.7°C than at the Tang et al. (1997) temperature of 25°C. Given that sea-salt and NaCl are similar, the GNI calculation presented here likely results in an overestimate of 0.12% in the calculated dry aerosol radius. We have omitted this effect in our calculations due to the small magnitude.
For a given sea salt mass fraction, the water activity in the 33.7°C microscope chamber differs from that of the Tang et al. (1997) measurements at 25°C. Using the water activity data as a function of temperature from Bromley et al. (1974, their Table 5b), we linearly extrapolate from their minimum water activity of aw = 0.924 to the microscope chamber aw ≈ 0.90. This result in the GNI system overestimating the dry sea-salt radius by only 0.13%; thus, we have omitted any correction for this small error.
6. Sample volume and calculation of particle distributions
The state of sea-salt aerosol particles depends both on the ambient relative humidity and, in some cases, on the history of relative humidity. It is well known that dry NaCl particles deliquesce once the humidity increases beyond a value of about 75% (e.g., Tang et al. 1997). However, sea-salt particles consist of a range of different salts, each with their own deliquescence point. Such aerosols may also contain smaller amounts of other chemical components, e.g., hydrates, organics, and sulfates, such that a sharp deliquescence point does not exist; see Fig. 1 in Tang et al. (1997). However, the Tang et al. (1997) study shows sea salt having complete deliquescence above 74% relative humidity, and in air with decreasing relative humidity, sea-salt drops may remain in solution well past the 74% deliquescence point, even to as low relative humidity as 45%.
The assumption of deliquescence is necessary for the calculation of impaction efficiency between particles and microscope slides, which in turn affects the calculated “effective” sample volume for the impaction slides. The processing of the GNI slides and subsequent application of the data thus differs for three humidity regimes: (i) In air with relative humidity below 45% (based on Tang et al. 1997), sea-salt particles are assumed dry, but their shape and thus impaction efficiency is ill defined. Thus, slides exposed at less than 45% relative are excluded from further analysis. (ii) In air with relative humidity in excess of 74% (again based on Tang et al. 1997), sea-salt particles are assumed to be deliquesced solution drops. Accordingly, the GNI computer code calculates particle sizes and concentrations based on deliquesced particles. (iii) For air with intermediate relative humidity between 45% and 74%, the GNI computer code calculates sizes and concentrations assuming deliquesced particles. However, users of the data must evaluate if slides exposed at these intermediate relative humidity were deliquesced at the time of impaction. A well-mixed marine boundary layer, with saturated air at the top, will have a depth of more than 1400 m in order to have 45% relative humidity just above sea surface; marine mixed layers are commonly less deep, and thus sea-salt particles in marine mixed layers can normally be assumed to be solution drops.
Assuming deliquesced particles and for ambient saturation ratio Sa just prior to impaction, we next calculate the ambient drop radius ra for a given dry sea-salt radius rd. The mass of a dry sea-salt aerosol ms is given by
where ρs is the density of dry sea salt.
For a known aw ≈ Sa, the fraction of sea-salt mass (χ) in an ambient solution drop aerosol particle can be calculated from Eq. (12). Thus, the mass of the entire solution drop at ambient conditions is then given by
From a known χ, the solution drop density ρso is calculated using the Tang et al. (1997) relationship. Finally, the ambient solution drop radius at equilibrium is given by
This ambient radius is subsequently used in calculating impaction efficiency between particles and the GNI slides.
For an aerosol particle of dry radius rd, after moistening it to its equilibrium size at Sa, the impaction efficiency between aerosol particle and slide, E(rd, Sa), is implemented using the Ranz and Wong (1952) formulas for collisions between spheres and infinite ribbons. Figure 13 shows the impaction efficiency for spherical solution drops approaching the slide, assuming an airspeed of 105 m s−1. For each particle, we assume the Tang et al. (1997) values for sea-salt solution drop density ρso, and the calculations are performed using the true airspeed. For a 50% ambient relative humidity, the result is that particles of 1.1 μm ambient radius have a 50% impaction efficiency. Thus, for relative humidity of 50% or higher, this implies that salt particles with 0.7 μm dry radius are captured at 50% or higher efficiency. For moister environments, the GNI instrument can capture particles with smaller values of dry radius. For these reasons, we provide GNI based sea-salt dry radius size distributions for rd > 0.7 μm.1

Impaction efficiency for solution droplets at relative humidities of 50% and 90% as a function of the dry sea-salt radius. The 50% impaction efficiency occurs for dry sea-salt radii of 0.7 and 0.5 μm and for solution drop sizes of 1.1 and 1.2 μm, respectively, for the two relative humidities. The calculations pertain to droplets moving at 105 m s−1 toward a ribbon of 6.37 mm width, following Ranz and Wong (1952). Other conditions are 1000 hPa pressure, 15°C temperature, and a 105 m s−1 true airspeed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Impaction efficiency for solution droplets at relative humidities of 50% and 90% as a function of the dry sea-salt radius. The 50% impaction efficiency occurs for dry sea-salt radii of 0.7 and 0.5 μm and for solution drop sizes of 1.1 and 1.2 μm, respectively, for the two relative humidities. The calculations pertain to droplets moving at 105 m s−1 toward a ribbon of 6.37 mm width, following Ranz and Wong (1952). Other conditions are 1000 hPa pressure, 15°C temperature, and a 105 m s−1 true airspeed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Impaction efficiency for solution droplets at relative humidities of 50% and 90% as a function of the dry sea-salt radius. The 50% impaction efficiency occurs for dry sea-salt radii of 0.7 and 0.5 μm and for solution drop sizes of 1.1 and 1.2 μm, respectively, for the two relative humidities. The calculations pertain to droplets moving at 105 m s−1 toward a ribbon of 6.37 mm width, following Ranz and Wong (1952). Other conditions are 1000 hPa pressure, 15°C temperature, and a 105 m s−1 true airspeed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
The calculated sample volume of a microscope slide V(rd) is then
where t is the slide exposure time in the free airstream, U is the airspeed, Fenh is a concentration factor to account for airflow accelerating around the aircraft fuselage and particle concentrating due to cross-streamline motion in the air around the aircraft (King 1984; see below), N = 350 is the number of microscope images per slide, L = 592 μm and H = 444 μm are the individual image length and heights, and βi is a function that describes the reduction in sample area (L × H) for an individual image due to the requirement that a particle cannot touch the image edge:
where Nx = 1600 and Ny = 1200 are the number of pixels for the x and y directions of the digital camera chip, and nx and nx are the maximum number of shaded particles in the two image directions for each analyzed particle. For particle dry radii of 0.7 and 10 μm, the correction factor βI has values of 0.98 and 0.75, respectively.
The concentration enhancement factor has been determined through potential flow modeling by King (1984) to be
where b is the aircraft fuselage radius (about 1.8 m for the C-130), d is the distance of the impaction slide from the fuselage, Nst is a modified particle Stokes parameter [see King 1984, their Eq. (29)],
where ra is the solution droplet ambient radius, U the aircraft true airspeed, ρso the density of the solution drop, and η the dynamic viscosity of air. A characteristic of the potential flow solution is that the calculation does not include a boundary layer. This boundary layer is expected to be about 80 mm thick at the position of the GNI slide strut on the C-130 (Lord 2019, personal communication). Accordingly, for the value of d we use 520 mm, as opposed to the actual 600 mm. At an airspeed of U = 105 m s−1, 70% relative humidity, and for dry sea-salt radii of ra = 2, 4, and 8 μm, the concentration enhancement factor amounts to increases of 2.5%, 4%, and 6.5%, respectively.
A slide with 350 images (92 mm2 total area) samples about 10 L s−1 at an airspeed of 105 m s−1, assuming a theoretical impaction efficiency of unity. During VOCALS exposure times were selected based on assumed aerosol loading to range typically from 5 to 15 s (more rarely 30 s) when flying below 1000 m altitude. The corresponding sample volumes are thus about 0.05–0.15 m3 (more rarely 0.3 m3) for the various low-altitude slides collected during the VOCALS project.
7. Control slides and other effects
Contamination of the polycarbonate slides in preparation and handling is a potential problem. To measure the severity of contamination, control slides were taken on sampling missions. The control slides were prepared along with the normal slides, and mounted and put into the slide pod, but not exposed to the free airstream outside the aircraft. By analyzing these control slides, we can estimate the average amount of contamination in preparation and handling of the actual slides. This also establishes a baseline by requiring that actual particle measurements must be in excess of those measured from the control slides. For the VOCALS field program, more than 30 control slides were examined. It was determined that the polycarbonate slides were exceptionally clean, to an extent that it was almost impossible to find any particles to focus on. The result was that it was not necessary to correct VOCALS slides for handling contamination.
Breakup of solution drops impacting on the slide during exposure has potentially serious implications for the measurement of size distributions. This problem is not limited to the slides exposed as part of the GNI instrument; it is a common problem even for optical probes designed to measure cloud particles from aircraft (e.g., Vidaurre and Hallett 2009; Baker et al. 2009). Impaction effects for deliquesced sea-salt drops are examined statistically in Part II, where it is demonstrated that these have only a small effect on the measured size distributions. While deliquesced sea-salt particles appear likely to stick to the slides after impact, it is at present unclear if, e.g., mineral dust and bioaerosols may bounce off after impaction. While the GNI code can size such particles, we are thus uncertain about determining size distributions of these. Part II also provides a comprehensive uncertainty analysis for the GNI system when applied to deliquesced sea-salt aerosol particles.
8. Example size distribution
Figure 14 shows an example of a dry aerosol size distribution observed on a low–wind speed day during the VOCALS project. It should be noted that the total count of giant aerosol particles (rd > 0.7 μm) is about 60 000 for the 350 images of the slide; i.e., the sampling statistics are exceptionally good out to 5 μm dry radius, and a considerable number of particles between 5 and 9 μm dry radius are also observed. There is a drop-off in the count of particles for the smallest particles; the Ranz and Wong (1952) 50% collision efficiency occurs at 1.1 μm ambient radius, corresponding to about 0.6 μm dry radius. The GNI measured size distributions are typically near-lognormal, see the example in Blot et al. (2013).

Count histogram of dry sea-salt radius (rd) for all the round particles collected from slide 3 on 10 Oct 2008 off the coast of Chile. The relative humidity was 70% at the time exposure.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

Count histogram of dry sea-salt radius (rd) for all the round particles collected from slide 3 on 10 Oct 2008 off the coast of Chile. The relative humidity was 70% at the time exposure.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
Count histogram of dry sea-salt radius (rd) for all the round particles collected from slide 3 on 10 Oct 2008 off the coast of Chile. The relative humidity was 70% at the time exposure.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
In Fig. 15 the same data are plotted as cumulative size distribution to facilitate a comparison with Woodcock’s (1953) measurements. The VOCALS sample was obtained at an altitude of 150 m and 5.4 m s−1 ambient wind speed. The comparable surface (10 m altitude) wind speed is about 4–5 m s−1. In this example, the VOCALS results show about a factor-of-3-higher concentrations than those Woodcock found, but for a given wind speed, Lewis and Schwartz (2004) state typical natural variability of a factor 3 around their “canonical” size distributions. Woodcock (1953) also sampled his slides right below cloud base, and it is possible that there is a gradient in giant aerosol concentrations from our measurements at 150 m toward Woodcock’s measurements about 500 m higher.

As in Fig. 14, but for size distribution in cumulative form. The Woodcock (1953) size distributions are also included for comparison. Woodcock showed size distributions with dry radius smaller than about 1 μm dashed, presumably to denote higher uncertainty. The VOCALS slide was exposed at an average ambient wind speed of 5.4 m s−1 at 150 m altitude. The Simpson (1906) expression has been used to convert from Woodcock’s use of Beaufort wind force to wind speed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1

As in Fig. 14, but for size distribution in cumulative form. The Woodcock (1953) size distributions are also included for comparison. Woodcock showed size distributions with dry radius smaller than about 1 μm dashed, presumably to denote higher uncertainty. The VOCALS slide was exposed at an average ambient wind speed of 5.4 m s−1 at 150 m altitude. The Simpson (1906) expression has been used to convert from Woodcock’s use of Beaufort wind force to wind speed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
As in Fig. 14, but for size distribution in cumulative form. The Woodcock (1953) size distributions are also included for comparison. Woodcock showed size distributions with dry radius smaller than about 1 μm dashed, presumably to denote higher uncertainty. The VOCALS slide was exposed at an average ambient wind speed of 5.4 m s−1 at 150 m altitude. The Simpson (1906) expression has been used to convert from Woodcock’s use of Beaufort wind force to wind speed.
Citation: Journal of Atmospheric and Oceanic Technology 37, 9; 10.1175/JTECH-D-19-0109.1
To conclude, the GNI instrument and analysis give results that appear to be comparable to measurements previously published by Woodcock (1953) using a very similar method. Whereas this is satisfying, we note that the present GNI instrument is vastly improved, that the capacity of the present system far exceeds that of Woodcock (1953) by allowing for analysis of 40 slides in a batch and by sizing a factor 100 (approximately) more on each slide (typically tens of thousands particles on each GNI slide versus hundreds; see his Tables 2 and 3), and that the time of analysis per particle is likely shortened by several orders of magnitude. This makes it feasible to study smaller-scale aerosol variability, for example as affected by cloud processing, and it also lowers the uncertainty in measured size distributions of salt particles.
9. Summary
A new automated analysis system, the GNI instrument, has been developed to facilitate the automatic, humidity-controlled sizing of giant and ultragiant aerosol particles that have been impacted on microscope slides. These slides were exposed from aircraft in the free airstream outside the aircraft, as opposed to capture through an inlet. The following are features of the GNI:
The system is capable of sampling very large volumes in a short time period, typically 10 L s−1 when sampling from an aircraft flying at about 105 m s−1. This makes it suited for sampling of very large particles, which occur in low concentrations. The total number of particles sized on each slide far exceeds the number used in many previous studies. On most of the VOCALS slides, the number of sized giant aerosol particles were usually on the order of tens of thousands.
For a 6.37-mm-wide slide exposed at aircraft speeds (105 m s−1), the 50% impaction efficiency occurs for dry sea-salt radii of 0.7 and 0.5 μm (corresponding to solution drop sizes of 1.1 and 1.2 μm), for ambient relative humidities of 50% and 90%, respectively. For aerosol particles of different geometric shapes or densities, compared to the present sea-salt solution drops, the 50% impaction size may differ.
Slides are analyzed using a microscope with a digital camera and a two-axis motorized stage. A third motor drive in combination with a focus algorithm is used to find the focal plane, thus ensuring images are in focus. The minimum detectable size is estimated to be smaller than 0.5 μm dry radius when analyzed at 90% relative humidity. The particles are sized with a bin width of 0.2 μm dry radius, which is comparable to the microscope optical resolution when accounting for deliquescence of the aerosol particles. For conditions in typical marine boundary layers, the size distributions of sea-salt particles can be calculated for particles with rd > 0.7 μm. The maximum observed particle size is 16 μm dry radius.
The system is particularly well suited to the analysis of sea-salt particles. By maintaining the relative humidity at about 90%, almost all soluble particles form spherical cap drops. Turning sea-salt particles into solution drops also allows for detection of smaller salt particles, as soluble particles swell with water uptake. This makes small particles detectable by the microscope.
Particles are sized using a pixel shading threshold, by finding the center of gravity from the perimeter pixels, and then by calculating the distance from the center of gravity to the perimeter, using 64 angles. Round particles are assumed to be sea salt. Simple spherical cap geometry, in conjunction with Köhler theory and prior laboratory studies, is used to determine the dry sea-salt mass, and thus the dry aerosol particle radius.
Control slides are used to estimate the amount of contamination in preparation and handling of the slides. Comparison of many sample and control slides show that contamination is insignificant.
The GNI system allows for analysis of giant aerosol particles on a large scale. This is due to the microscope system being able to handle 40 slides per batch. This allows for a much better characterization of giant aerosol particles (coarse mode particles) than previously possible. As an example, during the 2008 VOCALS project in excess of 450 slides were exposed in and above the marine boundary layer. Each of these slides required about 3 h for image acquisition in the microscope system, and about 3 h for dry radius determination using a computer workstation.
Sampling from aircraft using high-speed impaction leads to some problems due to impact splashing and coalescence on the slide (see Part II). Other sampling methods from aircraft using air intakes and connecting tubes have other types of problems associated with turbulence and losses of particles to tube walls, including a gradual buildup of salt. The present GNI system uses a clean slide at the start of every sampling event; thus, every slide behaves identically.
Giant aerosols can also be sampled at lower speeds with the GNI instrument, possibly from kites, from towers, and from other ground sites, provided the wind speed is sufficiently high and well characterized. The exposed slides can also be used for particle analysis using, e.g., electron microscopy for single particle ion composition, although such analysis is not part of the GNI microscope system.
When impacting other particle types than sea-salt solution droplets (e.g., mineral dust and oceanic biogenic particles), it is possible that particle bounce is more severe, thus possibly biasing the measured particle size distribution toward sea salt. Some of the observed droplets, in particular the larger ones, contain enclosed material that looks like biogenic or shell material. However, these particles are typically surrounded by a much larger mass of sea-salt solution. This is consistent with bubble bursting leading to jet droplet formation, that happened to have biogenic or shell material included already at the formation of the jet droplet.
Acknowledgments
This material is based upon work supported by the National Center for Atmospheric Research, which is a major facility sponsored by the National Science Foundation under Cooperative Agreement 1852977. The development of the present instrument was in part funded by a grant from the NCAR Director’s Instrument Fund. The development of a prototype instrument was done with support from the Cape Grim Baseline Air Pollution Station, Australia. Part of this work was done while J. Jensen was employed by CSIRO, Australia, and serving as a visiting scientist at NCAR. R. Rauber and M. Colón Robles were supported under National Science Foundation Grants NSF-ATM-03-46172 and NSF-ATM-0854954. Thanks are due to Dr. William A. Cooper, Dr. Charlie Knight, and two anonymous reviewers for many excellent comments. Thanks is due to Dr. Aaron Bell (Department of Geology, University of Colorado) for elemental analysis of some impacted particles.
Data availability statement
The raw GNI image data are available from NCAR/EOL at https://doi.org/10.5065/D6NZ862W. Please contact jbj@ucar.edu for assistance.
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For nonspherical particles (e.g., clay minerals or bioaerosols), the collision efficiency will tend to be lower than that of sea-salt solution drops. For particles of higher density (e.g., other mineral dust), the collision efficiency will tend to be higher than for the similarly sized sea-salt solution drops. In the calculation of collision efficiencies, we do not consider electrical charge differences between the impacting aerosol particles and the polycarbonate slides.