Characterization of ambient aerosol from measurements of cloud
condensation nuclei during the 2003 Atmospheric Radiation
Measurement Aerosol Intensive Observational Period at the Southern
Great Plains site in Oklahoma
T. A. Rissman,
1
T. M. VanReken,
1
J. Wang,
2
R. Gasparini,
3
D. R. Collins,
3
H. H. Jonsson,
4
F. J. Brechtel,
1,5
R. C. Flagan,
1
and J. H. Seinfeld
1
Received 13 December 2004; revised 15 March 2005; accepted 19 May 2005; published 28 January 2006.
[
1
]
Measurements were made by a new cloud condensation nuclei (CCN) instrument
(CCNC3) during the Atmospheric Radiation Measurement (ARM) Program’s Aerosol
Intensive Observational Period (IOP) in May 2003 in Lamont, Oklahoma. An inverse
aerosol/CCN closure study is undertaken, in which the predicted number concentration of
particles available for activation (
N
P
) at the CCNC3 operating supersaturations is
compared to that observed (
N
O
).
N
P
is based on Ko
̈hler Theory, with assumed and inferred
aerosol composition and mixing state, and the airborne aerosol size distribution measured
by the Caltech Dual Automatic Classified Aerosol Detector (DACAD). An initial
comparison of
N
O
and
N
P
, assuming the ambient aerosol is pure ammonium sulfate
((NH
4
)
2
SO
4
), results in closure ratios (
N
P
/
N
O
) ranging from 1.18 to 3.68 over the duration
of the IOP, indicating that the aerosol is less hygroscopic than (NH
4
)
2
SO
4
.
N
P
and
N
O
are
found to agree when the modeled aerosol population has characteristics of an external
mixture of particles, in which insoluble material is preferentially distributed among
particles with small diameters (<50 nm) and purely insoluble particles are present over a
range of diameters. The classification of sampled air masses by closure ratio and aerosol
size distribution is discussed in depth. Inverse aerosol/CCN closure analysis can be a
valuable means of inferring aerosol composition and mixing state when direct
measurements are not available, especially when surface measurements of aerosol
composition and mixing state are not sufficient to predict CCN concentrations at altitude,
as was the case under the stratified aerosol layer conditions encountered during the
IOP.
Citation:
Rissman, T. A., T. M. VanReken, J. Wang, R. Gasparini, D. R. Collins, H. H. Jonsson, F. J. Brechtel, R. C. Flagan, and J. H.
Seinfeld (2006), Characterization of ambient aerosol from measurements of cloud condensation nuclei during the 2003 Atmospheric
Radiation Measurement Aerosol Intensive Observational Period at the Southern Great Plains site in Oklahoma,
J. Geophys. Res.
,
111
,
D05S11, doi:10.1029/2004JD005695.
1. Introduction
[
2
] One of the largest uncertainties in aerosol radiative
forcing is associated with the indirect effect, which results
from the relationship between atmospheric aerosols and
cloud formation, properties, and lifetime [
Intergovernmental
Panel on Climate Change
, 2001].
Twomey
[1977] postulated
that an increase in the number concentration of atmospheric
aerosol particles would increase the number of cloud
droplets formed for a given air mass. For fixed liquid water
content, the cloud droplets would also be smaller than those
formed under conditions with lower particle concentrations.
This increase in number and decrease in mean diameter of
cloud droplets would have two indirect effects on climate.
Cloud albedo is greater for clouds with more numerous,
smaller droplets; this has been termed the first indirect
climatic effect of aerosols. Also, the lifetime of a cloud with
smaller cloud droplets is greater than that of a cloud with
larger droplets because the rain forming mechanisms are
less efficient [
Albrecht
, 1989]. This is referred to as the
second indirect climatic effect of aerosols. Both effects
create clouds that are more reflective and more persistent,
leading to the cooling of the Earth’s surface [
Twomey
,
1977].
[
3
] The relationship between atmospheric particles that
are capable of activating into cloud droplets, known as
JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 111, D05S11, doi:10.1029/2004JD005695, 2006
1
Department of Chemical Engineering, California Institute of Technol-
ogy, Pasadena, California, USA.
2
Brookhaven National Laboratory, Upton, New York, USA.
3
Department of Atmospheric Sciences, Texas A&M University, College
Station, Texas, USA.
4
Center for Interdisciplinary Remotely Piloted Aircraft Studies, United
States Naval Postgraduate School, Marina, California, USA.
5
Brechtel Manufacturing, Inc., Hayward, California, USA.
Copyright 2006 by the American Geophysical Union.
0
1
4
8
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0
2
2
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0
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0
0
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J
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0
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cloud condensation nuclei (CCN), and aerosol size distri-
bution and composition, in addition to meteorological
conditions, are central to the indirect climatic effect of
aerosols. For a given particle composition and size, the
supersaturation above which the particle undergoes sponta-
neous condensational growth (activation) into a cloud
droplet, the so-called critical supersaturation, is described
by Ko
̈hler Theory. The activation diameter, the dry diameter
at which a particle of known or assumed composition will
activate, can also be calculated for a given supersaturation.
Prediction of aerosol activation from Ko
̈hler Theory is very
successful for aerosols composed of soluble, inorganic salts,
such as ammonium sulfate ((NH
4
)
2
SO
4
), sodium chloride
(NaCl), and ammonium bisulfate (NH
4
HSO
4
). However,
Ko
̈hler Theory needs to be augmented when considering
chemical components, such as organic compounds, that are
partially soluble, insoluble, or affect the surface tension of
the aqueous solution. The chemical composition of atmo-
spheric aerosol can be complex and include many different
chemical species, which may affect aerosol activation in
competing ways.
[
4
] The ability of Ko
̈hler Theory to predict ambient
CCN concentrations can be studied by comparing atmo-
spheric CCN measurements at a given supersaturation
with CCN concentrations calculated using aerosol size
distribution and composition measurements. This type
of study, called an aerosol/CCN closure, compares the
observed CCN concentration (
N
O
) at the operating super-
saturation of the CCN instrument to that predicted from
the aerosol size distribution and composition (
N
P
)ina
closure ratio, defined here as
N
P
/
N
O
.
N
P
is determined
from the aerosol size distribution by summing the
concentration of particles with diameters greater than
the activation diameter calculated from Ko
̈hler Theory
[
VanReken et al.
, 2003]. When direct measurements of
aerosol composition are unavailable,
N
P
can be calculated
using an assumed aerosol composition or one that is
inferred from other available measurements. An ‘‘inverse’’
aerosol/CCN closure study (explained further in section
5.2) can be undertaken to determine aerosol composition
and mixing states that are most consistent with CCN
observations when direct measurements of these aerosol
characteristics are unavailable.
[
5
] In this paper, data measured by a new CCN
instrument (CCNC3) during the Atmospheric Radiation
Measurement (ARM) Aerosol Intensive Observational
Period(IOP)inMay2003areusedinaninverse
aerosol/CCN closure study of the midcontinental aerosol
sampled near the Southern Great Plains (SGP) Central
Facility (CF) to determine aerosol composition and mix-
ing states consistent with the CCN measurements at the
operating supersaturations of the instrument. The Texas
A&M Differential Mobility Analyzer/Tandem Differential
Mobility Analyzer (DMA/TDMA) data from the surface
are used to infer the mixing state and insoluble fraction
of the aerosol population as a function of dry diameter.
This information is used with the airborne CCN and
aerosol size distribution measurements to determine con-
ditions under which aerosol composition and mixing
states inferred from surface measurements are able to
reproduce CCNC3 measurements at altitude. Aerosol
properties, categorized by closure ratio and aerosol size
distribution shape, during pollution and smoke events are
also discussed.
2. ARM Aerosol IOP
[
6
] The ARM Aerosol IOP occurred from 5 to 31 May
2003 at the Department of Energy’s (DOE’s) ARM SGP CF
in Lamont, Oklahoma. There were a total of 16 science
flights, with a total of 60.6 flight hours, conducted by the
Center for Interdisciplinary Remotely-Piloted Aircraft Stud-
ies’ (CIRPAS) Twin Otter aircraft on 15 days during this
period. The ARM Aerosol IOP flight tracks for flights 6–10
and 12–17 (the flights for which there are CCN data) are
shown in Figure 1, which illustrates that most flights took
place over or near the SGP CF. The last flight, flight 17, was
coordinated with the Moderate Resolution Imaging Spec-
troradiometer (MODIS) overpasses of four ARM sites
(SGP CF, Extended Facility (EF)-12, EF-20, and EF-19 in
Figure 1).
[
7
] The ARM SGP site is located in a midlatitude,
continental area, surrounded by agricultural land and dirt
roads. The site is influenced by local emissions from nearby
industrial and power plants and local aerosol sources, such
as vehicle and agricultural aerosols. Sulfur dioxide (SO
2
)
emissions from nearby oil refineries and power plants, such
as the Conoco and Ponca City Power Plants, are major local
sources of sulfate aerosols over the SGP site. Anthropogenic,
agricultural related aerosol sources include local fertilizer
application and production, field burning, and animal
byproducts. Local biomass burning is greatest from May
through July [
Iziomon and Lohmann
, 2003]. The particles
that are commonly found at the ARM SGP site are a
complex mix of these aerosol types, with smoke- and
dust-dominated events, which are commonly characterized
by decreased aerosol hygroscopicity, occurring occasionally
[
Sheridan et al.
, 2001]. Routine condensation particle
counter (CPC) measurements from the SGP site generally
show a strong, diurnal cycle of aerosol number concentra-
tion, with peak concentrations in the afternoon and
early evening. Over the 4-year period from July 1996 to
June 2000, the daily average condensation nuclei (CN)
concentration ranged from less than 1000 cm
3
to about
20,000 cm
3
, with a mean around 5000 cm
3
. The hourly
average CN concentration ranged from about 4000 cm
3
from 1100 to 1500 UTC (Universal Time Coordinated) to
about 18,000 cm
3
from 1800 to 2000 UTC [
Sheridan et
al.
, 2001]. (The difference between local time (LT) at the
ARM site and UTC is 5–6 hours, depending on daylight
savings. During the ARM Aerosol IOP, LT was 5 hours
behind UTC, so that 1200 LT corresponds to 1700 UTC in
this paper.) These high CN concentrations could result from
buildup and advection of pollutant aerosols from local
sources, photochemical particle production [
Sheridan et
al.
, 2001], coagulation, or the evolution of the boundary
layer [
Iziomon and Lohmann
, 2003].
[
8
] Most of the Twin Otter flights during the ARM
Aerosol IOP were conducted under clear or partly cloudy
skies to assess aerosol impacts on solar radiation. Additional
flights targeted mostly cloudy conditions to assess aerosol/
cloud interactions, test theoretical understanding of aerosol
activation, and to test surface remote sensing of the indirect
effect. Ground and airborne measurements, which included
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D05S11
aerosol absorption, scattering, extinction, size distribution,
and CCN concentration, are compared in a variety of
closure studies to help resolve differences in measurements
and models. Routine ARM SGP aerosol measurements
(absorption, total scattering and hemispheric backscattering,
light scattering as a function of relative humidity, total
condensation particle concentration, number concentration
of particles with diameters from 0.l to 10
m
m, vertical
aerosol optical thickness, etc.) continued throughout the
IOP.
3. Instrument Descriptions
3.1. Twin Otter Inlet System
[
9
] In order to minimize sampling losses, the aerosol inlet
on the CIRPAS Twin Otter is designed to admit the air
sample prior to any bending of flow lines and slow the
sample down before transport to the instruments. The intake
extends forward from the roof of the cabin to a position
1.2 m directly above the aircraft’s nose. The sampled air is
initially slowed down by a factor of 5 by means of an
aerodynamically lipped diffuser. A second diffuser, posi-
tioned at the centerline of the first diffuser, reduces the flow
speed by another factor of two, while excess flow from the
first diffuser exits along the sides of the second diffuser. The
sample then flows down a 7.62 cm diameter duct and enters
the cabin after a 45
bend. Inside the cabin the duct is
straightened out again with another 45
bend, and samples
are drawn to the various instruments from ports mounted on
the side of the duct. The ports are flush inside the duct, but
extend outward at 45
angle to the flow. At an aircraft speed
of 50 m/s, approximately 1000 liters per minute (lpm) flow
down the duct. Air not ciphered off to the instruments is
dumped out of the cabin.
3.2. CCN Instrument (CCNC3)
[
10
] The CCN instrument (CCNC3) deployed on the
Twin Otter consists of three columns, each of which is
physically modeled after a previous CCN instrument col-
umn design [
Chuang et al.
, 2000] with some changes to the
physical design. Three temperature-controlled sections are
used to create the desired temperature gradient, instead of
fourteen sections, as in the work by
Chuang et al.
[2000].
The instrument was designed to be fully automated and
software controllable in normal operation and to operate
with a different supersaturation in each column. CCNC3
operating conditions, some aspects of which differ from
those given by
Chuang et al.
[2000], are discussed in the
following paragraphs. Only column 1 operated properly
during the ARM Aerosol IOP, the first field mission in
which the CCNC3 was deployed; thus CCN data were
obtained at one supersaturation per flight.
[
11
] Each CCNC3 column (Figure 2) consists of a stain-
less steel growth tube 0.4 m in length with a 1.9 cm outer
diameter and a 1.6 mm wall thickness. The inner wall of the
growth tube is lined with filter paper, which is rewetted by a
small peristaltic pump every 90 min. Three temperature
controlled, movable sections are in contact with the outer
wall of the growth tube to create the desired temperature
gradient, and, thus, the desired operating supersaturation,
inside the growth tube. For the ARM Aerosol IOP, a linear
temperature profile was used to develop a constant super-
Figure 1.
ARM Aerosol IOP flight paths for flights with CCN data. PNC is the Ponca City, Oklahoma,
airport, where the Twin Otter was based. The other sites are ARM ground measurement sites. The insert
shows the position of the counties (in pink) within the continental United States. The axes of the insert are
in the same units as those in the main plot.
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D05S11
saturation at the centerline of the growth tube [
Rogers and
Squires
, 1977;
Roberts and Nenes
, 2005]. (A linear tem-
perature gradient was also used in the airborne CCN instru-
ments during the Cirrus Regional Study of Tropical Anvils
and Cirrus Layers – Florida Area Cirrus Experiment
(CRYSTAL-FACE) [
VanReken et al.
, 2003;
Roberts and
Nenes
, 2005].) The sampled aerosol is focused onto the
centerline of the growth tube and introduced to the column
with filtered sheath air; the droplets that form within the
growth tube are then counted by a detector.
[
12
] The CCNC3 detector consists of a laser, an optics
tube, and an avalanche photo-diode (APD) module, and was
designed on the basis of that of Laser Particle Counter
(LPC) Model 3755 (TSI, Incorporated), scaled down for
CCN application. A 670 nm, 10 mW Lasiris MFL Micro-
Focus Laser is positioned at one end of an optics tube, so
that the droplet inlet to the optics tube is at the 30 mm
working distance of the laser. When a droplet falls through
the laser beam, the laser light is scattered in the forward
direction, and a pair of aspherical condenser lenses collects
the scattered light and focuses it into a fiber optic at the
other end of the optics tube. The signal from the scattered
laser light is sent to a Hamamatsu Photonics C5460-01 APD
module, which sends the resulting digital pulse to the data
acquisition system.
[
13
] During the IOP, the column operated at three differ-
ent linear temperature gradients, with one temperature
gradient per flight. The total flow rate of the column was
about 0.56 lpm with a sheath to sample ratio around 10.
(NH
4
)
2
SO
4
calibrations for column 1 at its different linear
temperature gradients are shown in Figure 3. The activation
diameters and supersaturations associated with each linear
temperature gradient are given in Figure 3. For each linear
temperature gradient calibration, a solution of (NH
4
)
2
SO
4
was atomized to create droplets that were then dried and
introduced into a differential mobility analyzer (DMA).
Certain dry diameters were selected using the DMA and
then split to the CCNC3 inlet and the inlet to a CPC (TSI,
Inc., Model 3010). The activated ratio (
AR
) was calculated
as the ratio of the number concentration of CCN measured
by the CCNC3 (
N
CCN
) to the number concentration of total
particles measured by the CPC (
N
CPC
). The activation
diameter (
d
act
) is the dry diameter at which 50% of the
particles are activated (
AR
= 0.5). The uncertainty limits
given on the calibration curves in Figure 3 result from the
uncertainty in the diameter produced by the DMA (gener-
ally taken to be ±5%) and the combined uncertainties
associated with the concentrations measured by the CPC
and the CCNC3. These uncertainties associated with the
column calibrations are folded into the overall measurement
uncertainty, which is estimated for each flight on the basis
of criteria explained in section 4.3.
[
14
] The supersaturation corresponding to dry (NH
4
)
2
SO
4
particles with diameter
d
act
, and thus the operating super-
saturation of the column, was calculated theoretically by
Ko
̈hler Theory. Droplet density is calculated from data of
Tang and Munkelwitz
[1994]; the full Pitzer model [
Pitzer
,
1973;
Pitzer and Mayorga
, 1973] is used to calculate the
osmotic coefficient; and values from
Pruppacher and Klett
[1997] are used for surface tension. The model calculates
the critical supersaturation for particles that contain certain
soluble salts, certain organics, and generalized insoluble
material [
Brechtel and Kreidenweis
, 2000a, 2000b].
Figure 2.
A schematic of a CCNC3 column. A second
layer of insulation covers the growth tube and heating/
cooling sections (to prevent temperature transfer to the
outside air) and the detector (to prevent condensation within
the optics tube).
Figure 3.
(NH
4
)
2
SO
4
calibration curves for column 1 of
the CCNC3 at the temperature gradients used during the
ARM Aerosol IOP. The column was not functioning
properly for flights 1–5 and 11. The activation ratio is
defined as the ratio of the number concentration of CCN
measured by the CCNC3 to the number concentration of
particles measured by the CPC.
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[
15
] The calibrated activation diameters and the operating
supersaturations for column 1 during the ARM Aerosol IOP
are given in the legend in Figure 3 and in Table 1. The
instrument did not operate as expected from available
instrument models and previous CCN instrument experi-
ence. Thermal contact between the temperature control
sections and the growth column was improved in the design
of the CCNC3. Therefore the CCNC3 requires a smaller
temperature gradient than that required in previous CCN
instruments to develop a similar supersaturation within the
growth column. In-field calibrations were not available
because the calibration CPC had been flooded with water.
Therefore the operating supersaturations of the CCNC3
during the ARM Aerosol IOP were higher than would
usually be desired for ambient aerosol studies. The con-
sequences of these high supersaturations are further dis-
cussed in the Conclusion (section 7).
3.3. Dual Automatic Classified Aerosol Detectors
(DACAD)
[
16
] The Caltech Dual Automatic Classified Aerosol
Detectors (DACAD) have been deployed in several previ-
ous airborne experiments, and their characteristics are well
documented [
Wang et al.
, 2002, 2003;
VanReken et al.
,
2003]. The DACAD consists of two DMA systems operated
in parallel. One of the DMA systems measures the dry
aerosol size distribution, while the other measures the
aerosol size distribution at ambient relative humidity (RH)
by using an active RH controller [
Wang et al.
, 2003]. The
aerosol wet and dry size distributions are obtained separately
and independent of each other; therefore no size-resolved
information is obtained. The main components of the mea-
surement system are a cylindrical DMA (TSI Inc., Model
3081) and a CPC (TSI Inc., Model 3010), which has a 50%
counting efficiency at 10 nm. Using the scanning mobility
technique, each DMA system generates a size distribution
for particle diameters from
17 to
720 nm every 72.5 s
[
Wang et al.
, 2002]. (This scanning time was reduced from
103 s [
VanReken et al.
, 2003] prior to the ARM Aerosol
IOP.)
3.4. Tandem Differential Mobility Analyzer
(DMA/TDMA)
[
17
] The Texas A&M DMA/TDMA measured aerosol
size distributions and size-resolved hygroscopic growth at
the SGP Cloud and Radiation Testbed (CART) trailer at the
CF during the IOP [
Gasparini et al.
, 2006]. The main
measurement section of the DMA/TDMA consists of two
Aerosol Dynamics, Inc., high-flow DMAs (HF-DMAs
[
Stolzenburg et al.
, 1998]), a charger, two Nafion tubes,
and a CPC. One DMA/TDMA measurement sequence
(
1 hour) consists of two different operational modes to
obtain both the aerosol size distribution and the size-resolved
hygroscopic growth. For both modes, the sample air is first
dried in a Nafion tube and then introduced to a charger
before entering the first DMA. During the single DMA mode
(
5 min), the aerosol size distribution is measured by
scanning the voltage applied to the first DMA [
Wang and
Flagan
, 1990] and counting the size-selected aerosol particle
concentration with the CPC. In TDMA mode, the voltage
supplied to the first DMA is fixed to produce a monodisperse
aerosol of known particle size. The monodisperse aerosol
is exposed to a controlled, elevated relative humidity
(RH; 85% in this IOP) before entering the second DMA.
The humidified aerosol is classified by scanning the
voltage applied to the second DMA and the size- and
hygroscopicity-resolved aerosol particle concentration is
observed with the CPC. The second mode sequence is
repeated for other particle dry diameters by changing the
voltage applied to the first DMA [
Gasparini et al.
, 2004]. A
third mode was implemented during the IOP, in which the
dry monodisperse aerosol was exposed to a wide range of
RH to determine the deliquescence properties of the aerosol
[
Gasparini et al.
, 2006].
[
18
] The aerosol particle soluble fraction and mixing state
is inferred by comparing the dry diameter separated by the
first DMA with the hydrated size distribution measured with
the second DMA. The comparison results in a normalized
distribution expressed in terms of the hygroscopic growth
factor (
G
(
RH
)), which is defined as the ratio of the hydrated
particle diameter to that of the dry particle. The aerosol is
then divided into four hygroscopicity-based categories: pure
insoluble, pure soluble, mixed insoluble, and mixed soluble.
The full technique used to determine the relative contribu-
tion of soluble and insoluble components to the dry particle
composition is described by
Gasparini et al.
[2004].
3.5. PILS-IC, TEOM, and Integrating Nephelometer
[
19
] At the SGP site, the aerosol ionic composition
(species: NH
4
+
,SO
4
2
,NO
3
,K
+
,Ca
2
+
,Mg
2
+
,Na
+
, and Cl
)
Table 1.
Flight Summary With Operating Conditions and Uncertainty Limits for CCNC3 Column 1
Flight
Day in
May
Flight Begin
Time,
a
UTC
Flight End
Time,
a
UTC
Flight
Length,
Hours
Activation
Diameter,
nm
Operating
Supersaturation,
%
Upper
Limit,
b
%
Lower
Limit,
b
%
6
14
1553
2019
4.4
15 ± 0.8
2.8 ± 0.2
5
10
7
14
2124
2248
1.4
15 ± 0.8
2.8 ± 0.2
20
5
8
15
1634
1909
2.6
15 ± 0.8
2.8 ± 0.2
10
40
9
17
1402
1805
4.0
13 ± 0.6
3.6 ± 0.4
10
N/A
10
18
1543
1745
2.0
15 ± 0.8
2.8 ± 0.2
10
N/A
12
21
1551
1847
2.9
18 ± 0.9
2.1 ± 0.2
20
20
13
22
1325
1813
4.8
18 ± 0.9
2.1 ± 0.2
10
20
14
25
1852
2212
3.3
18 ± 0.9
2.1 ± 0.2
10
10
15
27
1420
1929
5.2
18 ± 0.9
2.1 ± 0.2
30
10
16
28
1824
2205
3.7
18 ± 0.9
2.1 ± 0.2
20
10
17
29
1411
1751
3.7
18 ± 0.9
2.1 ± 0.2
20
10
a
The difference between local time (LT) and UTC was 5 hours during the ARM Aerosol IOP, so that 1200 LT corresponds to 1700 UTC.
b
Uncertainty limits are reported as a percent of the measured concentration.
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was measured using the Particle-Into-Liquid Sampler–Ion
Chromatography (PILS-IC) technique [
Weber et al.
, 2001],
and the aerosol total mass concentration was measured
using the Tapered Element Oscillating Microbalance
(TEOM) technique [
Patashnick and Rupprecht
, 1986].
The PILS-IC technique has a
0.05
m
gm
3
limit of
detection for all of the ions. The TEOM exhibited a
temperature-related oscillation behavior during the IOP that
resulted in an uncertainty of ±40%. The time resolution of
the PILS-IC and TEOM were 8 min and 30 min, respec-
tively, during the IOP. A sharp cut cyclone and two glass
honeycomb denuders in series remove particles greater than
1
m
m diameter and water-soluble vapor phase species,
respectively, from the sample flow to both the PILS-IC
and the TEOM. To prevent condensation of water within the
tapered element, the TEOM inlet was maintained at 35
C
[
Pahlow et al.
, 2006].
[
20
] Routine aerosol light scattering coefficient (
s
sp
)
and light scattering hygroscopic growth factor (
f
(
RH
))
measurements for total and fine (submicron) mode aerosol
continued at the ground site during the IOP. Measure-
ments of
s
sp
and
f
(
RH
) complement those from the PILS-
IC and TEOM. Total scattering and backscattering were
measured with a three-wavelength integrating nephelom-
eter (TSI Inc., Model 3563) [
Sheridan et al.
, 2001]. The
light scattering hygroscopic growth factor,
f
(
RH
), is
different from the hygroscopic growth factor (
G
(
RH
))
determined from DMA/TDMA data.
G
(
RH
) is based on
the increase in particle diameter with increasing RH (see
section 3.4), whereas
f
(
RH
) is defined as the change in
aerosol light scattering with changing RH [
Covert et al.
,
1972;
Rood et al.
, 1987] and is determined as the ratio of
s
sp
at 80% to that at 40% RH.
f
(
RH
) was measured using
a humidograph [
Carrico et al.
, 1998], which consists of
two nephelometers separated by a humidity control sys-
tem that ramps up the RH in the second nephelometer.
Data from the humidograph are used to relate
s
sp
at any
RH to that at 40% RH with a three-parameter curve-
fitting model [
Sheridan et al.
, 2001].
4. Data Trends During the ARM Aerosol IOP
4.1. Particle Composition (PILS-IC, TEOM, and
DMA/TDMA) and Aerosol Mixing State (DMA/TDMA)
[
21
] Of the major inorganic ionic species (NH
4
+
,SO
4
2
,
NO
3
,K
+
,Ca
2
+
,Mg
2
+
,Na
+
,Cl
) measured at the SGP site
during the IOP, NH
4
+
and SO
4
2
were dominant. NO
3
was
observed in
10% of the samples and only when SO
4
2
was
completely neutralized by NH
4
+
.K
+
, a tracer for biomass
burning, and Ca
2
+
, a tracer for dust, were occasionally
observed in appreciable levels. On average, the ratio of
NH
4
+
to SO
4
2
was 2, with ratios significantly greater than 2
observed on 20 May (no flight) and 22 May (flight 13) and
less than 2 observed on 21 May (flight 12) [
Pahlow et al.
,
2006].
[
22
] Aerosol organic fraction increased continuously
during the daytime hours, while the inorganic concentra-
tion remained fairly constant. Overall, the aerosol organic
content, which is estimated as the difference between
total mass (TEOM) and total inorganic mass (PILS-IC),
accounted for >40% of the aerosol mass. Increases in
organic fraction, values of which were as high as 80%,
were accompanied by a lowering of
f
(
RH
), suggesting
that the particulate organic fraction had a lower hygro-
scopicity than the inorganic fraction. Also, the amount of
aerosol organic mass correlated strongly with the amount
of black carbon inferred from the aerosol absorption
coefficient [
Pahlow et al.
, 2006], which was measured
using a filter-based light absorption photometer [
Sheridan
et al.
, 2001].
[
23
]
Gasparini et al.
[2006] inferred size-resolved aerosol
particle composition and hygroscopic growth properties
from data collected by the Texas A&M DMA/TDMA at
the SGP site using the technique from
Gasparini et al.
[2004]. The
G
(
RH
) of the observed aerosol during the IOP
was found to increase with increasing dry diameter, and the
average median
G
(
RH
) at 85% RH was 1.20 at 12 nm and
1.37 at 300 nm, which indicates that the smallest analyzed
particles were largely composed of carbonaceous com-
pounds. The largest particles were either very hygroscopic
or slightly hygroscopic, but rarely exhibited hygroscopicity
in between these extremes. At times during the IOP, a
nonhygroscopic mode with median
G
(
RH
) less than 1.10
was observed at 450 and 600 nm and, more rarely, at 200
and 300 nm [
Gasparini et al.
, 2006].
4.2. Aerosol Size Distribution (DACAD-Airborne)
[
24
] The aerosol size distributions measured by the
DACAD were analyzed for flights 6–10 and 12–17,
for which CCN data were collected. Aerosol size distri-
butions differed greatly between flights, as well as at
different altitudes within a single flight. For example,
Figure 4 shows DACAD aerosol size distributions from
six level legs and five different altitudes from flight 16.
At the lower altitudes, 351 m and 720 m AGL (Above
Ground Level; all reported altitudes are AGL), the aerosol
size distributions are multimodal with median diameters
less than the cutoff diameter of the DACAD (
17 nm),
which may indicate that the sampled aerosols are freshly
emitted or formed locally in the atmosphere. The aerosol
populations at 1028 m and 1337 m have similar size
distributions that are multimodal with median diameters
that may be smaller than the cutoff diameter of the
DACAD, which may indicate mixed aerosol layers that
are a combination between fresh and aged aerosol pop-
ulations. The aerosol population at 2281 m during flight
16 is multimodal but with a less pronounced second
mode at larger diameters, which is indicative of back-
ground aerosol. Also note that the
dN
/
dlogD
p
values are
greater for lower-altitude level legs than higher legs,
which is a typical feature of ambient aerosol. Aerosol
size distributions such as those shown in Figure 4 were
seen throughout the IOP flights, along with some simple
unimodal distributions. The differences in aerosol size
distributions are consistent with sampled aerosol layers
that had different sources and/or were of different ages.
[
25
] Rapidly changing aerosol size distributions were
observed frequently during the IOP. Since the DACAD size
distribution scan time is 72.5 s, some characteristics of a
rapidly changing aerosol size distribution may not have
been resolved. The CCNC3 has a sampling rate of 1 s and,
therefore, is capable of observing rapid changes in the
aerosol size distribution. For this reason, predicted and
observed CCN concentrations may not agree well during
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D05S11
times of rapidly changing aerosol characteristics. This will
be discussed further in section 6.
4.3. CCN Concentration (CCNC3-Airborne)
[
26
] The trends in the CCN concentration data follow
those seen in both the airborne CPC and airborne DACAD
data. When present, homogeneous boundary layers are
easily discerned from plots of CCNC3, CPC, and DACAD
data, e.g., Figure 5 for flight 14. A more specific CCN trend
analysis is discussed in section 6.
[
27
] The airborne CPC had a cutoff diameter of 13 nm,
and the DACAD scanned particle sizes down to
17 nm.
Figure 4.
Aerosol size distributions from different level legs during flight 16. The legend gives the
average altitudes (AGL) and times analyzed for each level leg. The times given are UTC; 1700 UTC
corresponds to 1200 LT.
Figure 5.
Flight traces of CPC, CCNC3, and DACAD data for flight 14. The DACAD traces give the
total concentrations of particles with diameters greater than those noted in the legend. A well-mixed
boundary layer is clearly shown from about 2010 to 2045. The times given are UTC; 1700 UTC
corresponds to 1200 LT.
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The CCN number concentrations are always less than the
total particle number concentrations measured by the CPC
or the DACAD in any of the eleven flights, even though
the activation diameters for pure (NH
4
)
2
SO
4
particles at the
operating supersaturations of the CCNC3 are similar to the
cutoff diameters for the CPC and DACAD. To determine
the uncertainty in the CCN measurements, the CPC con-
centration was used as a high-end limit for CCN concen-
tration on all flights. The concentration measured by the
CCNC3 column 2, when operating, was used as the lower
limit for the column 1 CCN concentration. The operating
supersaturation of column 2 was unable to be determined
with any certainty, but it was always operating at some
supersaturation lower than that of column 1. Therefore
measurements by column 2 are used as estimates of the
lower uncertainty limit for the measurements of column 1,
when both columns were operating, but are not used in any
other part of the analysis. Table 1 gives the uncertainty
limits for column 1.
5. Inverse Aerosol/CCN Closure Study: Results
and Discussion
[
28
] Comparison of the CCN data to the aerosol size
distribution data allows certain conclusions to be drawn
about the characteristics of the measured CCN and the
aerosol population. Certain aerosol population properties,
such as particle insoluble fraction or mixing state, can be
estimated as those that lead to closer agreement between
predicted and observed CCN concentrations at the operating
supersaturations of the CCN instrument. These estimated
properties can be compared with those inferred from or
measured by other instruments to determine whether the
estimates are reasonable.
[
29
] For this study, the CCN data sets were averaged over
the scan time of the DACAD (72.5 s) to correspond with a
single aerosol size distribution. Scans during which the
standard deviation of the CCN data exceeded 15% of the
mean of the CCN data were removed from the inverse
closure analysis. This helps to remove intervals during
which the aerosol size distribution may be changing suffi-
ciently rapidly during the 72.5 s scan time of the DACAD
that the changes are not resolved in aerosol size distribution
measurements. One further constraint: only data measured
during level legs of flight patterns were included to ensure
that the CCNC3 inlet pressure was steady and did not cause
any rapid changes or instability in the CCN sample flow
rate, although this artifact was not observed even during
rapid ascents and descents. Data measured within clouds
were also removed from the inverse aerosol/CCN closure
analysis to exclude the potential influence of artifact par-
ticles resulting from cloud droplet shattering in the Twin
Otter inlet. The DACAD did not operate at altitudes above
about
3000 m (except during flight 14), so the inverse
Figure 6.
Predicted CCN concentration (
N
P
; assuming pure (NH
4
)
2
SO
4
) versus observed CCN
concentration (
N
O
) for ARM Aerosol IOP. Only flights for which CCN data are available are shown.
N
P
is determined from the DACAD size distribution for all flights except flight 9, for which
N
P
is determined
from the CPC total particle (>13 nm) concentration. The linear fit in log-log space for all flight closure
data is shown, and corresponding fit parameters are given. The mean and standard deviation of the ratio
of
N
P
to
N
O
averaged over all flights are also given. The fit parameters and mean and standard deviation
of the ratio of
N
P
to
N
O
are also shown for the ‘‘Insoluble Limit’’ case, for which
N
P
is calculated using
the insoluble fractions calculated in section 5.2.1.
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aerosol/CCN closure analysis generally does not include
data above this altitude.
5.1. Inverse Aerosol/CCN Closure: Initial Comparison,
Assuming 100% (NH
4
)
2
SO
4
[
30
] Figure 6 shows an initial comparison of the predicted
CCN number concentrations (
N
P
) to those observed by the
CCNC3 instrument (
N
O
) for all eleven flights and includes
all the data points from each flight that fit the criteria
outlined in section 5. For this initial comparison,
N
P
is
determined as the sum of the number concentration of
particles in the DACAD size distributions with diameters
greater than the activation diameter of an aerosol consisting
of pure (NH
4
)
2
SO
4
for the operating supersaturation of the
CCN instrument. Pure (NH
4
)
2
SO
4
is assumed as a starting
point because PILS-IC data from the ground indicated that
NH
4
+
and SO
4
2
were dominant species and that the average
ratio of NH
4
+
to SO
4
2
was near 2 during the ARM Aerosol
IOP. For flight 9,
N
P
is determined from the CPC total
particle concentration, since the activation diameter of the
CCNC3 column is about the same as the cutoff diameter for
the CPC. The average value of
N
P
/
N
O
(
m
(
N
P
/
N
O
)) for all
flights is 1.92, with a standard deviation (
s
(
N
P
/
N
O
)) of 1.29,
and Table 2 shows this ratio for each flight. (
m
(
N
P
/
N
O
)is
used when values of the ratio,
N
P
/
N
O
, have been averaged
over more than one DACAD scan.) The average value of
N
P
/
N
O
for each flight, and thus for all flights averaged
together, is greater than unity. This indicates that fewer
particles activated than would be expected if the particles
were composed of pure (NH
4
)
2
SO
4
. The average
N
P
/
N
O
also differs from flight to flight, which indicates that the
aerosol CCN activity properties changed from flight to
flight.
[
31
] The
N
P
versus
N
O
data for each flight were fit to a
straight line in log-log space, and the results for the slope
and intercept of those fits are given in Table 2. The fit for all
data is shown in Figure 6, and Figure 7 shows the fit for
flights 8, 12, 14, and 17. Nonunity slopes and nonzero
intercepts of these linear fits in log-log space offer some
insight as to the characteristics of the ambient aerosol
population through its deviation from the activation prop-
erties of pure (NH
4
)
2
SO
4
particles.
[
32
] The slopes of the log-log fit of
N
P
versus
N
O
for
the IOP flights are generally not unity, which indicates
that the chemistry and mixing state of the aerosol
population does not affect the CCN ability at all concen-
trations equally. This imbalance results from sampling
different air masses with different aerosol properties,
which lead to different
N
P
to
N
O
ratios, during the same
flight. Aerosol populations with low CCN concentration,
which often result from those with low total particle con-
centration (
N
Total
), tend to have ‘‘clean’’ aerosol sources
or be well-aged aerosols, in which particle coagulation has
decreased
N
Total
and cloud processing has likely increased
soluble fractions. These types of air masses with low
CCN concentrations would have
N
P
to
N
O
ratios nearer to
unity. High
N
Total
, on the other hand, is often indicative of
fresh, polluted aerosol sources, possibly with high levels
of insoluble material and a greater degree of external
mixing, which could lead to higher values (greater than
unity) of
N
P
/
N
O
. In Figure 7, the clustering of flight
12’s closure data points at low, medium, and high CCN
concentrations could indicate that three different air
masses were sampled. The air mass with midlevel CCN
concentrations could be a mixture of the air masses with
high- and low-level CCN concentrations, instead of a
distinct air mass. Figure 8 illustrates trends of
N
P
/
N
O
with altitude as a function of longitude for flights 12
(Figure 8a) and 14 (Figure 8b). The high CCN concen-
tration data points (Figure 7) for flight 12 correspond to
the
N
P
/
N
O
points (Figure 8) at altitudes of about 600 m
(
N
P
/
N
O
= 2.77), 850 m (
N
P
/
N
O
= 1.99–2.42), and
1380 m (
N
P
/
N
O
= 2.00); the mid CCN concentration data
points correspond to the
N
P
to
N
O
ratios at about 550 m
(
N
P
/
N
O
= 1.51–2.02), 600 m (
N
P
/
N
O
= 1.77, 1.80), and
1380 m (
N
P
/
N
O
= 1.67); and the low CCN concentration
points correspond to the
N
P
to
N
O
ratios at about 2100 m
(
N
P
/
N
O
= 1.23–1.53).
[
33
] The situation is quite different for flight 14 (see
Figures 7 and 8), for which the generalized high and low
N
Total
classifications do not hold. All of the closure data
points from flight 14 are clustered at CCN concentrations
less than 2000 cm
3
, and the slope is less than unity.
Contrary to what was observed in flight 12, the sampled
aerosol with lower
N
Total
has a greater deviation from
idealized, pure (NH
4
)
2
SO
4
particles than those with higher
N
Total
. As will be discussed later in section 6, flight 14 was
apparently influenced by a Siberian smoke event [
Schmid et
al.
, 2004]. Smoke aerosols that have been transported a long
distance are likely to have low particle concentrations
through particle coagulation and cloud processing. However,
the aged smoke particles at low
N
Total
in flight 14 did not
Table 2.
Average (
m
(
N
P
/
N
O
)) and Standard Deviation (
s
(
N
P
/
N
O
)) of the Ratios of Predicted CCN Concentration to Observed CCN
Concentration for All Flights for Which There Were CCN Data
a
Flight
Day in May
m
(
N
P
/
N
O
)
s
(
N
P
/
N
O
)
mb
R
2
Number of Data Points
6
14
1.30
0.18
0.63
1.32
0.63
80
7
14
1.29
0.13
0.81
0.77
0.96
11
8
15
1.18
0.07
1.05
0.10
0.96
55
9
17
1.29
0.35
0.85
0.54
0.96
78
10
18
1.34
0.08
0.97
0.21
0.98
27
12
21
1.79
0.36
1.14
0.22
0.99
23
13
22
1.78
0.51
0.91
0.51
0.90
38
14
25
1.84
0.48
0.77
0.88
0.96
54
15
27
1.87
0.45
1.14
0.18
0.97
38
16
28
3.68
2.96
1.40
0.68
0.65
42
17
29
3.45
0.86
0.93
0.74
0.77
71
All
1.92
1.29
0.90
0.54
0.74
517
a
Slope (
m
) and intercept (
b
) values for linear fits of
N
P
to
N
O
in log-log space are also given. Assumes pure (NH
4
)
2
SO
4
in the calculation of
N
P
.
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become more CCN active than the background aerosol,
which is probably the type of aerosol sampled under about
1400 m (see Figure 8).
[
34
] An intercept that deviates from zero indicates that
some fraction of the aerosol population is unavailable for
activation at the measurement supersaturation, although this
fraction would activate under the assumption of pure
(NH
4
)
2
SO
4
particles. This nonactive fraction could consist
of particles from an internal or external mixture that have
some fraction of insoluble, hydrophobic material that pre-
vents activation. Even if the slope were near unity, the
intercept can, as explained above, deviate from zero if
particles exist that do not exhibit predicted CCN activity
characteristics. Flights 8 and 17 (Figure 7) have slopes near
unity but have very different intercepts, even though their
observed CCN concentrations are within a similar range.
HYSPLIT [
Draxler and Rolph
, 2003;
Rolph
, 2003] 3-day
back trajectories for flights 8 and 17 (Figures 9 and 10,
respectively) show that the sampled air masses from flights
8 and 17 originated in different areas, with those from flight
8 being more influenced by marine conditions in the Gulf of
Mexico and those from flight 17 being more influenced by
inland continental conditions. DACAD size distributions
from the analyzed times during flight 8 are bimodal, with no
indication of sampled pollution events, and
dN
/
dlogD
P
values were less than 5000 cm
3
. Flight 17, however, was
dominated by pollution events, as is indicated by its
primarily multimodal size distributions that are dominated
by particles with diameters smaller than 50 nm. Measured
dN
/
dlogD
P
values for flight 17 were as high as 60,000 cm
3
,
but most were under 10,000 cm
3
. It makes sense, then, that
the deviation of flight 17’s intercept from zero is greater
than that of flight 8 because fewer particles are available for
activation under polluted than clean conditions. When the
slope is not near unity, the intercept can be affected by
differences in CCN activities among the sampled air masses
and may not have a simple interpretation.
[
35
] On the basis of this initial comparison of
N
O
and
N
P
determined from DACAD size distributions with the
assumption of 100% (NH
4
)
2
SO
4
, it is apparent that more
detailed aerosol properties, such as chemical composition
and the mixing state, are needed to predict the CCN
measurements at the operating supersaturations of the
CCNC3. Because such composition and mixing data were,
however, unavailable on the Twin Otter during the IOP, an
inverse closure study is performed, in which the comparison
of
N
O
and
N
P
based on the assumption of pure (NH
4
)
2
SO
4
is
used to infer the aerosol composition and mixing state that
are consistent with CCN observations.
5.2. Inverse Aerosol/CCN Closure: Inferring
Deviations From 100% (NH
4
)
2
SO
4
[
36
] An inverse aerosol/CCN closure evaluates the extent
to which particle composition alone can explain the dis-
crepancy between
N
P
and
N
O
. Particle composition can be
modeled as an internal or an external mixture and can
consist of completely soluble and insoluble material or
include partially soluble material, as well. For the purposes
of the study presented here, particle components are con-
sidered to be either completely soluble or completely
Figure 7.
N
P
(assuming pure (NH
4
)
2
SO
4
) versus
N
O
and linear fits in log-log space for flights 8, 12, 14,
and 17. High aerosol concentrations (from the CPC) were 10,400 cm
3
, 37,000 cm
3
, 3550 cm
3
, and
2890 cm
3
for flights 8, 12, 14, and 17, respectively. High CCN concentrations were 2882 cm
3
, 16,941
cm
3
, 2143 cm
3
, and 7454 cm
3
for flights 8, 12, 14, and 17, respectively. High concentration values
were determined as the maximum concentrations measured after the Twin Otter had achieved sampling
altitude after takeoff, regardless of whether the data were obtained during constant altitude legs.
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insoluble, and both internally and externally mixed aerosol
populations are considered. Although the customary defini-
tion of an internal mixture is that all particles of the same
size have the same chemical composition, a more simpli-
fied, size-independent internal mixture is used here in the
absence of airborne measurements of size resolved chemis-
try. Thus, under the assumption of a size-independent
internally mixed aerosol population, all particles of all
diameters have the same fractional insoluble/soluble com-
position in this analysis. An external mixture can include
purely soluble particles, purely insoluble particles, and
particles composed of both insoluble and soluble material.
5.2.1. Estimating Aerosol Particle Composition From
CCNC3 and DACAD Measurements
[
37
] The initial comparison of
N
P
and
N
O
(from
section 5.1) can be used to determine the particle volu-
metric fraction of insoluble material (
e
ins
) that would be
necessary for
m
(
N
P
/
N
O
) to approach unity, assuming that
the ambient aerosol is a size-independent internal mixture,
with particles of all sizes having insoluble fraction
e
ins
.In
order to calculate
e
ins
for each flight, the cumulative
aerosol size distribution is determined, with each size
bin containing the concentration of all particles with
diameters greater than the bin diameter. For each analysis
period, the DACAD midbin diameter for which the
cumulative aerosol concentration approaches the measured
CCN concentration is chosen as the cutoff diameter,
defined as the dry diameter above which sampled ambient
particles would be able to activate under the assumption
of size-independent internal mixing. A value for
e
ins
is
determined by inputting the cutoff diameter and different
values of
e
ins
(with the balance (NH
4
)
2
SO
4
) into the
Ko
̈hler Theory model, until the particle’s calculated
critical supersaturation approaches the operating supersat-
uration of the CCNC3.
[
38
] Since the sampled air mass properties typically
varied widely during a flight, this analysis is carried out
for each level leg during each flight. A level leg is defined
as one for which consecutive static pressure measurements
are constant within ±3 mbar. Some level legs are further
divided if it appears that drastically different air masses
were sampled during the same level leg. This usually occurs
for level legs that cover long distances but was observed
even during some shorter-distance legs. Table 3 gives the
range and mean of
e
ins
values for each flight. Most of the
values of
e
ins
that are required for
m
(
N
P
/
N
O
) to approach
unity exceed 0.90, with only 14 out of the 113 analyzed
level legs having
e
ins
values less than 0.90. While insoluble
mass fractions in aerosol particles in continental areas have
been found as high as 0.98, values less than 0.6 are more
Figure 8.
Altitude versus longitude trace for flights (a) 12
and (b) 14. Closure data points are indicated by the solid
circles. The color of the closure data points indicates the
magnitude of
N
P
/
N
O
, assuming pure (NH
4
)
2
SO
4
, for the
corresponding DACAD scan.
Figure 9.
Three-day HYSPLIT back trajectories for
15 May 2003 (flight 8) at the SGP site at altitudes of 450,
650, and 1000 m. The times given are UTC; 1700 UTC
corresponds to 1200 LT.
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common [
Pruppacher and Klett
, 1997]. Lower insoluble
fractions would be expected in the ambient aerosol,
especially if the aerosol were truly internally mixed
independently of particle size. Under the assumption of a
size-independent internal mixture of particles, the values of
e
ins
that would be required to achieve agreement between
N
P
and
N
O
exceed the average fraction of insoluble material
commonly found in continental aerosols. Other aerosol
properties likely contributed to the discrepancy between
N
P
and
N
O
.
5.2.2. CCN and DACAD Derived Insoluble Fraction
(Flight 10)
[
39
] During the IOP, there was one flight (flight 10)
during which CCN concentrations and DACAD wet and
dry aerosol size distributions were all measured. From the
wet and dry aerosol size distributions and assuming size-
independent internally mixed aerosol population, an esti-
mate of
e
ins
can be obtained by comparing the cumulative
particle concentrations of the wet and dry size distributions
at each diameter. The average difference in wet and dry
Figure 10.
Three-day HYSPLIT back trajectories for 29 May 2003 (flight 17) (a) at the SGP site at
altitudes of 400, 800, and 3000 m and (b) at site EF-19 at altitudes of 650, 800, and 1000 m. The times
given are UTC; 1700 UTC corresponds to 1200 LT.
Table 3.
Insoluble Volumetric Fractions (
e
ins
) and Fraction of Particles Unavailable for Activation (
f
NA
) for Which
m
(
N
P
/
N
O
)
1
s
,%
d
act
, nm
Flight
e
ins
a
(Range
b
)
e
ins
a
(Mean
c
)
f
NA
d
(Range
b
)
f
NA
d
(Mean
c
)
2.8
15
6
0.66–0.96
0.90
0–0.39
0.22
2.8
15
7
0.93–0.96
0.94
0–0.27
0.21
2.8
15
8
0.97–>0.99
0.98
0.13–0.37
0.15
2.8
15
10
>0.99 (all)
>0.99
0.24–0.26
0.25
3.6
13
9
0.91–>0.99
0.98
0.04–0.61
0.22
2.1
18
12
0.78–0.96
0.92
0.26–0.64
0.42
2.1
18
13
0.95–0.98
0.96
0.17–0.61
0.40
2.1
18
14
0.98–>0.99
>0.99
0.24–0.63
0.42
2.1
18
15
0.92–>0.99
0.98
0.36–0.70
0.44
2.1
18
16
>0.99 (all)
>0.99
0.40–0.91
0.63
2.1
18
17
0.87–>0.99
0.98
0.50–0.76
0.69
a
Size-independent internal mixing is assumed in the determination of
e
ins
.
b
The ranges of values for
e
ins
and
f
NA
are determined from those averaged over each of the level legs during a flight.
c
The mean values of
e
ins
and
f
NA
are averaged over all analysis points.
d
N
P
is determined under the assumption of pure (NH
4
)
2
SO
4
in the determination of
f
NA
.
D05S11
RISSMAN ET AL.: CCN DURING THE 2003 ARM AEROSOL IOP
12 of 20
D05S11