of 15
Atmos. Chem. Phys., 16, 7623–7637, 2016
www.atmos-chem-phys.net/16/7623/2016/
doi:10.5194/acp-16-7623-2016
© Author(s) 2016. CC Attribution 3.0 License.
The lifetime of nitrogen oxides in an isoprene-dominated forest
Paul S. Romer
1
, Kaitlin C. Duffey
1
, Paul J. Wooldridge
1
, Hannah M. Allen
2,3
, Benjamin R. Ayres
2
, Steven S. Brown
4
,
William H. Brune
5
, John D. Crounse
6
, Joost de Gouw
4,7
, Danielle C. Draper
2,8
, Philip A. Feiner
5
, Juliane L. Fry
2
,
Allen H. Goldstein
9,10
, Abigail Koss
4,7
, Pawel K. Misztal
10
, Tran B. Nguyen
6,11
, Kevin Olson
10
, Alex P. Teng
6
,
Paul O. Wennberg
6,12
, Robert J. Wild
4,7
, Li Zhang
5
, and Ronald C. Cohen
1,13
1
Department of Chemistry, University of California at Berkeley, Berkeley, CA, USA
2
Department of Chemistry, Reed College, Portland, OR, USA
3
Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA, USA
4
Chemical Sciences Division, Earth System Research Laboratory, National Oceanic and Atmospheric Administration,
Boulder, CO, USA
5
Department of Meteorology, Pennsylvania State University, University Park, PA, USA
6
Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA, USA
7
Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, CO, USA
8
Department of Chemistry, University of California, Irvine, CA, USA
9
Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, CA, USA
10
Department of Environmental Science, Policy and Management, University of California at Berkeley, Berkeley, CA, USA
11
Department of Environmental Toxicology, University of California, Davis, CA, USA
12
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA
13
Department of Earth and Planetary Sciences, University of California at Berkeley, Berkeley, CA, USA
Correspondence to:
Ronald C. Cohen (rccohen@berkeley.edu)
Received: 12 January 2016 – Published in Atmos. Chem. Phys. Discuss.: 21 January 2016
Revised: 4 May 2016 – Accepted: 16 May 2016 – Published: 23 June 2016
Abstract.
The lifetime of nitrogen oxides (NO
x
) affects the
concentration and distribution of NO
x
and the spatial pat-
terns of nitrogen deposition. Despite its importance, the life-
time of NO
x
is poorly constrained in rural and remote con-
tinental regions. We use measurements from a site in central
Alabama during the Southern Oxidant and Aerosol Study
(SOAS) in summer 2013 to provide new insights into the
chemistry of NO
x
and NO
x
reservoirs. We find that the life-
time of NO
x
during the daytime is controlled primarily by
the production and loss of alkyl and multifunctional nitrates
(
6
ANs). During SOAS,
6
AN production was rapid, averag-
ing 90 ppt h
1
during the day, and occurred predominantly
during isoprene oxidation. Analysis of the
6
AN and HNO
3
budgets indicate that
6
ANs have an average lifetime of un-
der 2 h, and that approximately 45 % of the
6
ANs produced
at this site are rapidly hydrolyzed to produce nitric acid. We
find that
6
AN hydrolysis is the largest source of HNO
3
and
the primary pathway to permanent removal of NO
x
from the
boundary layer in this location. Using these new constraints
on the fate of
6
ANs, we find that the NO
x
lifetime is 11
±
5 h
under typical midday conditions. The lifetime is extended by
storage of NO
x
in temporary reservoirs, including acyl per-
oxy nitrates and
6
ANs.
1 Introduction
The concentration and chemistry of nitrogen oxides
(NO
x
NO
+
NO
2
) in Earth’s troposphere has a significant
and non-linear effect on the oxidative capacity of the atmo-
sphere. This in turn affects the production, composition, and
aging of aerosols and the lifetime of greenhouse gases such
as methane. Concentrations of NO
x
control the production
of ozone, a respiratory health hazard, important oxidant, and
greenhouse gas. In addition, the deposition of reactive nitro-
gen is an important source of nutrients in some ecosystems
(e.g. Fowler et al., 2013).
Published by Copernicus Publications on behalf of the European Geosciences Union.
7624
P. S. Romer et al.: The lifetime of nitrogen oxides
NO
x
is emitted by both anthropogenic and biogenic
sources, including motor vehicles, power plants, forest fires,
and soil bacteria (e.g. Dallmann and Harley, 2010; Mebust
and Cohen, 2014; Hudman et al., 2012), and is temporarily
or permanently removed from the atmosphere by chemical
conversion to higher oxides of nitrogen. Across much of the
globe, the balance of these sources and sinks is in a period
of dramatic change, with large reductions of NO
x
emissions
occurring in North America and Europe and significant in-
creases occurring in Asia (e.g. Russell et al., 2012; Curier
et al., 2014; Reuter et al., 2014). Understanding the effects
of changes in NO
x
emissions on the concentration and spa-
tial distribution of NO
x
requires detailed knowledge of the
chemistry and transport of NO
x
and NO
x
reservoirs. These
reservoirs are poorly understood and represent a significant
uncertainty in analyses of NO
x
emissions and ozone produc-
tion (e.g. Ito et al., 2007; Browne and Cohen, 2012; Mao
et al., 2013).
The net chemical loss of NO
x
is difficult to directly ob-
serve. Observational methods for determining the lifetime of
NO
x
are easiest to apply in the outflow of isolated emissions,
where the declining concentration of NO
x
or the changing
ratio of NO
x
to total reactive nitrogen (NO
y
) provide clear
evidence for NO
x
loss (e.g. Ryerson et al., 1998; Dillon et al.,
2002; Alvarado et al., 2010; Valin et al., 2013). In rural and
remote regions, emissions and concentrations of NO
x
and
NO
y
are typically slowly varying over large distances (e.g.
Browne et al., 2013), preventing the loss of NO
x
from be-
ing directly observable. Nor can the lifetimes found in plume
studies be easily translated into an appropriate lifetime in
the regional background. Short-lived NO
x
reservoirs such as
peroxy acyl nitrate (PAN) can efficiently remove NO
x
in a
plume, but act as a source of NO
x
in rural and remote regions
(Finlayson-Pitts and Pitts, 1999). In addition, the non-linear
interactions between NO
x
and OH make the lifetime of NO
x
in a fresh plume very different from its lifetime several hours
downwind (e.g. Martinez et al., 2003; Valin et al., 2013).
To constrain the lifetime of NO
x
in rural and remote re-
gions, observations of reactive nitrogen species must be com-
bined with an understanding of the chemical transformations
between NO
x
and its higher oxides. If the production, loss,
and fate of these higher oxides are accurately understood,
then the lifetime of NO
x
can be calculated by tracing the flow
of reactive nitrogen through the system. Here, we evaluate
the daytime lifetime of NO
x
in the rural southeastern United
States, using measurements taken from 1 June–15 July 2013
as part of the Southern Oxidant and Aerosol Study (SOAS).
In situ measurements of volatile organic compounds (VOCs),
atmospheric oxidants, and a wide range of reactive nitrogen
compounds are used to determine the production and loss
rates for nitric acid, alkyl and multifunctional nitrates, and
peroxy nitrates. These rates are used to assess the lifetime of
NO
x
in this region.
2 The NO
y
family and the lifetime of NO
x
During the day, NO
x
is lost by associating with other radicals
to produce higher oxides of nitrogen, primarily nitric acid,
alkyl and multifunctional nitrates (
6
ANs
=
6
RONO
2
), and
peroxy nitrates (
6
PNs
=
6
R
(
O
)
OONO
2
) (e.g. Day et al.,
2003; Perring et al., 2010). The sum of these and other higher
oxides such as N
2
O
5
and HONO are collectively known as
NO
z
(NO
z
NO
y
NO
x
).
NO
x
is oxidized to produce the major daytime classes of
NO
z
through Reactions (R1), (R2b), and (R3).
NO
2
+
OH
+
M
HNO
3
+
M
(R1)
NO
+
RO
2
+
M
RONO
2
+
M
(
R2b
)
NO
2
+
R
(
O
)
O
2
+
M
R
(
O
)
OONO
2
+
M
(R3)
NO
x
can also be converted to NO
z
through reactions of the
NO
3
radical. Although these reactions are most important at
night, previous studies have shown that NO
3
chemistry can
produce NO
z
during the day if concentrations of alkenes are
high (e.g. Fuentes et al., 2007; Mogensen et al., 2015; Ayres
et al., 2015).
The production and fate of different NO
z
species deter-
mine the lifetime of NO
x
. Some of these species are short-
lived and re-release NO
x
back to the atmosphere within
hours of being formed. If the lifetime for the conversion of
an NO
z
species back to NO
x
is shorter than typical NO
x
life-
times in the atmosphere, then NO
x
and these NO
z
species in-
teract, and their concentrations will approach a steady-state
ratio. As NO
x
is removed from the system, some of the short-
lived NO
z
species dissociate, buffering the concentration of
NO
x
. In this way, the presence of NO
x
reservoirs directly
extends the lifetime of NO
x
.
One method to take this buffering into account when cal-
culating the lifetime of NO
x
is to consider the sum of NO
x
and all NO
z
species with lifetimes to re-release of NO
x
shorter than the atmospheric lifetime of NO
x
. We define this
sum as short-lived reactive nitrogen, or NO
SL
. The remaining
forms of reactive nitrogen are defined as long-lived reactive
nitrogen (NO
LL
). The division between NO
SL
and NO
LL
de-
pends on the lifetime of NO
x
. For the initial discussion in
this manuscript, we use a provisional lifetime of 7 h to divide
NO
z
species between NO
SL
and NO
LL
. This cutoff is in the
middle of the range of NO
x
lifetimes found in plume studies
(e.g. Ryerson et al., 1998; Dillon et al., 2002; Alvarado et al.,
2010; Valin et al., 2013). The provisional cutoff chosen as a
starting point does not affect the final results.
In areas well removed from large NO
x
sources, NO
x
and
its short-lived reservoirs interconvert significantly faster than
the rate of change of NO
x
. Under these conditions, the life-
time of NO
x
(
τ
NO
x
) is equal to the lifetime of NO
SL
. If the
conversion of NO
LL
to NO
SL
is negligible, then the lifetime
of NO
x
can be calculated by Eq. (1).
τ
NO
x
=
τ
NO
SL
=
[
NO
SL
]
L
(
NO
SL
)
(1)
Atmos. Chem. Phys., 16, 7623–7637, 2016
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P. S. Romer et al.: The lifetime of nitrogen oxides
7625
Figure 1.
A schematic representation of the chemistry of NO
SL
and
NO
LL
, showing the typical components of both classes.
Throughout this paper, we use
L
(X)
to indicate the gross loss
rate of the compound or class of compounds
X
.
The relationship and interactions between NO
SL
and
NO
LL
, and their typical compositions in the planetary bound-
ary layer, are shown in Fig. 1. In the summertime at mid-
latitudes, peroxy nitrates typically release NO
x
within hours
of being formed (LaFranchi et al., 2009), making them a
component of NO
SL
. Under these same conditions, nitric
acid typically converts back to NO
x
on timescales of 100 h
or greater (Finlayson-Pitts and Pitts, 1999) and is a com-
ponent of NO
LL
. The fate and lifetime of
6
ANs, the third
major component of NO
z
, remain poorly understood, mak-
ing it uncertain whether
6
ANs act as a component of NO
SL
or NO
LL
(Perring et al., 2013, and references therein). This
is especially true for the multifunctional, biogenically de-
rived nitrates that are the predominant component of
6
ANs
in forested areas (e.g. Beaver et al., 2012).
Recent studies of multifunctional nitrates suggest that the
main daytime loss pathways of these species are deposition,
reaction with OH, photolysis, and heterogeneous hydrolysis
to produce nitric acid (e.g. Darer et al., 2011; Browne et al.,
2013; Lee et al., 2014; Müller et al., 2014; Nguyen et al.,
2015; Lee et al., 2016). These recent studies, combined with
the extensive measurements made during SOAS, allow us to
provide new constraints on the lifetime and fate of
6
ANs and
therefore to more accurately determine the lifetime of NO
x
.
3 Instrumentation and measurements
The primary ground site for SOAS was located in Bibb
County, Alabama (32.90289
N, 87.24968
W) at the Cen-
treville (CTR) long-term monitoring site in the SouthEast-
ern Aerosol Research and CHaracterization (SEARCH) Net-
work (Hansen et al., 2003). This location is 40 km southeast
of Tuscaloosa (population 95 000), and 90 km southwest of
Birmingham (population 210 000). Comparison with long-
term measurements indicate that the summer of 2013 was
cooler and cloudier than typical for previous summers (Hidy
et al., 2014). Gas-phase measurements used in this study
were located on a 20 m walk-up tower at the edge of the
forest. Nitrate ion and meteorological parameters were mea-
sured in a clearing approximately 50 m away from the tower.
A nearly complete suite of reactive nitrogen species, in-
cluding NO, NO
2
,
6
PNs,
6
ANs, HNO
3
, and NO
3
, was
measured during SOAS. NO was measured using the chemi-
luminescence instrument described in Min et al. (2014). The
reaction of ambient NO with added excess O
3
formed excited
NO
2
molecules. A fraction of these fluoresce, and the emit-
ted photons were collected on a red-sensitive photomultiplier
tube (Hamamatsu H7421-50). Calibrations were performed
every 2 h by diluting NO standard gas (5.08 ppm
±
5 % NO
in N
2
, Praxair) to 3–20 ppb in zero air and adding it to the in-
strument inlet. The mixing ratio was corrected for enhanced
quenching by water vapor (Thornton et al., 2000) using co-
located measurements of relative humidity and temperature.
NO
2
,
6
PNs, and
6
ANs were measured via thermal dis-
sociation laser induced fluorescence (TD-LIF), as described
by Day et al. (2002). Ambient air was drawn into a multipass
White cell, where a 532 nm Nd-YAG laser excited the NO
2
molecules, and their fluorescence signal was collected on a
photomultiplier tube (Hamamatsu H7421-50). The same in-
strument was used to measure the sum of peroxy nitrates and
the sum of alkyl and multifunctional nitrates by first pass-
ing the air through a heated oven, where the organic nitrates
dissociated to form NO
2
. Organic nitrates present in the par-
ticle phase undergo evaporation and thermal dissociation in
the heated ovens to form NO
2
. The TD-LIF measurement
of
6
ANs therefore includes alkyl and multifunctional ni-
trates in both the gas and particle phases, but does not in-
clude HNO
3
or particle-phase inorganic nitrate (Day et al.,
2002; Rollins et al., 2010). All of the channels were cali-
brated by injecting NO
2
standard gas (5.03 ppm
±
5 % NO
2
in N
2
, Praxair) and corrected for enhanced quenching by wa-
ter vapor.
Nitric acid was measured in the gas phase by chemical
ionization mass spectrometry (CIMS), using CF
3
O
as the
reagent ion (Crounse et al., 2006). The ions were quantified
using a compact time-of-flight mass spectrometer, and the in-
strument was calibrated in the field using isotopically labeled
nitric acid. Particle-phase inorganic nitrate (NO
3
) was mea-
sured using a Monitor for AeRosols and GAses (MARGA)
(Allen et al., 2015). Ambient air was drawn through a rotat-
ing wet-walled denuder which collected water-soluble gas-
phase compounds. Particle-phase compounds were captured
by a steam-jet aerosol collector downstream of the denuder.
Water-soluble ions from both phases were then quantified
via ion chromatography. This measurement of NO
3
is de-
signed to be specific to inorganic nitrate, and is not affected
by
6
ANs in the particle phase (Allen et al., 2015).
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Atmos. Chem. Phys., 16, 7623–7637, 2016
7626
P. S. Romer et al.: The lifetime of nitrogen oxides
Figure 2.
Diurnal cycle of measured reactive nitrogen species dur-
ing SOAS. Reactive nitrogen species are classified as likely compo-
nents of NO
SL
(a)
, likely components of NO
LL
(b)
or unknown
(c)
.
The classification into NO
SL
and NO
LL
is based on typical sum-
mertime afternoon lifetimes. The measurement of HNO
3
represents
nitric acid in the gas phase, while the measurement of NO
3
rep-
resents inorganic nitrate in the particle phase. The measurement of
6
ANs includes alkyl and multifunctional nitrates in both the gas
and particle phase.
Measurements of reactive nitrogen species are summa-
rized in Fig. 2. Concentrations of NO
SL
compounds (NO,
NO
2
, and
6
PNs) are shown in Fig. 2a. Afternoon concentra-
tions of NO
2
and NO were typically around 220 and 50 ppt
respectively. After sunset, NO dropped to near zero, and NO
2
began to increase. At sunrise, NO concentrations rapidly rose
to over 200 ppt between 06:00 and 08:00 Central Standard
Time (CST) while NO
2
decreased sharply. By 11:00, when
the daytime boundary layer was well developed, the concen-
trations of NO and NO
2
returned to their typical afternoon
values. Concentrations of
6
PNs were 160 ppt at sunrise, in-
creased to a maximum concentration of 300 ppt at 09:00 and
declined slowly throughout the rest of the day.
Concentrations of HNO
3
and inorganic NO
3
, components
of NO
LL
, are shown in Fig. 2b. Both species increased slowly
after sunrise and reached a maximum combined concentra-
tion of 300 ppt at 13:00, before declining to a combined
concentration of 175 ppt at night. The total concentration
of
6
ANs in both the gas and particle phase, whose par-
titioning into NO
SL
and NO
LL
is not known, is shown in
Fig. 2c.
6
ANs averaged 150 ppt during the night and in-
creased sharply after sunrise. After reaching a maximum of
250 ppt at 08:00,
6
ANs declined slowly to a minimum con-
centration of 125 ppt at sunset.
OH, HO
2
, and OH reactivity (OHR) were measured via
fluorescence assay by gas expansion (FAGE) of OH. A
308 nm dye laser excited the OH radicals and their fluores-
Figure 3.
Diurnal cycle of OH, HO
2
, O
3
and VOCs during SOAS.
The top plot shows the concentration of OH and HO
2
; the middle
plot shows the concentration of O
3
; the bottom plot shows the OH
reactivity.
cence was detected by an electronically gated microchannel
plate detector (Faloona et al., 2004). Calibration of the sys-
tem was performed by in situ generation of OH radicals via
photolysis of water vapor. Chemical zeroing was performed
by periodically adding C
3
F
6
to the sampling inlet in order to
quantify the interference from internally generated OH ob-
served in previous field campaigns (Mao et al., 2012). HO
2
was measured in a second channel by adding NO to chem-
ically convert HO
2
to OH. The amount of added NO was
regulated such that HO
2
but not RO
2
was converted to OH
(Fuchs et al., 2011). Total OH reactivity (OHR) was mea-
sured by drawing ambient air through a flow tube and mix-
ing it with a fixed concentration of OH. At the end of the flow
tube, the concentration of OH was measured. The OH reac-
tivity is determined by the slope of the OH signal vs. reaction
time (Mao et al., 2009).
Measured concentrations of OH peaked at 0.045 ppt and
concentrations of HO
2
at 30 ppt during SOAS (Fig. 3, top
panel). Both OH and HO
2
increased slowly throughout the
morning and reached their maximum in the early afternoon.
Concentrations then fell as the sun set, with OH usually
dropping below 0.01 ppt by 19:00 The measured OH reactiv-
ity was high, reaching an afternoon peak of close to 25 s
1
(Fig. 3, bottom panel). OHR decreased throughout the night,
reaching a minimum of 10 s
1
just before sunrise.
Measurements of ozone were made using a cavity ring
down spectrometer (Washenfelder et al., 2011). O
3
was
chemically converted to NO
2
by reaction with excess NO,
and the resulting NO
2
was measured by cavity ring-down
spectroscopy at 404 nm. The concentration of ozone in-
creased from a minimum of 15 ppb at sunrise to a maximum
of 38 ppb in the late afternoon (Fig. 3, middle panel).
Atmos. Chem. Phys., 16, 7623–7637, 2016
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P. S. Romer et al.: The lifetime of nitrogen oxides
7627
Volatile organic compounds were measured primarily by
gas chromatography–mass spectrometry (GC-MS). Samples
were collected in a liquid-nitrogen cooled trap for 5 min,
and then transferred by heating onto an analytical column,
and detected using an electron-impact quadrupole mass-
spectrometer (Goldan et al., 2004; Gilman et al., 2010). This
system was able to quantify a wide range of compounds in-
cluding alkanes, alkenes, aromatics, isoprene, and multiple
monoterpenes. The sum of methyl vinyl ketone (MVK) and
methacrolein (MACR) was measured using a proton transfer
reaction time-of-flight mass spectrometer (PTR-TOF-MS)
(Kaser et al., 2013). The interference in this measurement
from the decomposition of isoprene hydroperoxides on in-
strument inlets (Rivera-Rios et al., 2014) is not corrected for,
and increases the uncertainty in this measurement by approx-
imately 20 %.
VOC measurements at the site show that the OHR was
dominated by reaction with biogenic compounds. Figure 3
shows the OH reactivity of individually measured com-
pounds as a stacked area plot. In the daytime, isoprene ac-
counted for nearly half of the total reactivity, while VOCs
typically attributed to anthropogenic activities, including
alkanes, aromatics, and simple alkenes, were responsible
for less than 10 % of the measured OHR. Not included
in Fig. 3 is the reactivity of VOCs whose reaction with
OH does not lead to net loss of OH, and therefore does
not contribute to the measured OHR. These compounds,
primarily isoprene hydroperoxides (ISOPOOH) and C5-
hydroxyaldehydes (HPALD), have an average daytime re-
activity of 2 s
1
. The sum of individual reactivities shows
a similar diurnal pattern to the measured OHR, and accounts
for 70–85 % of the total. Unknown biogenic emissions, small
aldehydes and alcohols, and other 2nd and 3rd generation
VOC oxidation products are all possible contributors to the
missing reactivity (e.g. Di Carlo et al., 2004; Goldstein and
Galbally, 2007; Pusede et al., 2014; Kaiser et al., 2016). Me-
teorological parameters including temperature and solar radi-
ation were measured by Atmospheric Research and Analysis
as part of SEARCH.
4 The production and loss of individual NO
x
reservoirs
4.1 Nitric acid
In the boundary layer, the production of nitric acid is typ-
ically followed by deposition and thus leads to the perma-
nent removal of reactive nitrogen from the atmosphere. Ni-
tric acid can undergo photolysis or reaction with OH to pro-
duce NO
x
, but these processes are slow (Burkholder et al.,
1993; Atkinson et al., 2006), with an average calculated rate
during SOAS of less than 0.2 ppt h
1
. Gas-phase nitric acid
can also partition into aerosols. Nitric acid is long-lived in
the particle phase and is typically lost by re-evaporation into
the gas phase (e.g. Hennigan et al., 2008). The loss of ni-
tric acid through deposition of aerosols is typically negligi-
ble compared to its gas-phase deposition (e.g. Zalakeviciute
et al., 2012). Because nitric acid releases NO
x
so slowly, it is
a component of NO
LL
.
The deposition velocity (
v
dep
) of HNO
3
in the gas phase
was measured during SOAS by Nguyen et al. (2015). Around
midday, when the boundary layer is well developed, the de-
position velocity can be combined with the boundary layer
height (BLH) to calculate a loss rate of using Eq. (2).
L
(
HNO
3
)
=
v
dep
BLH
·[
HNO
3
]
(2)
Using this method, we find the lifetime of nitric acid in the
gas and particle phase to be 6 h at noon. In the late afternoon,
changing boundary layer dynamics make this calculation of
the loss rate inaccurate (e.g. Papale et al., 2006; Millet et al.,
2015). The loss of nitric acid in the late afternoon was there-
fore calculated by fitting periods of consistent decay between
15:00 and 19:00 with an exponential curve. By fitting only
the periods of consistent decay, we aim to select for periods
where the production of nitric acid is at a minimum and the
observed net decay of nitric acid is similar to its gross loss
rate. Because nitric acid reversibly partitions between the gas
and particle phases, the lifetime was calculated based on the
concentration of nitric acid in both phases. The lifetime cal-
culated using this method is 5
+
3
2
h, similar to the lifetime of
nitric acid calculated using Eq. (2) at noon.
By combining the loss rate of nitric acid with the rate of
change of its concentration, we can calculate an inferred pro-
duction rate of nitric acid (Fig. 4). This inferred production
rate for each hour is defined as the difference between the rate
of change in the concentration of nitric acid and the loss rate.
The rate of change was determined as the slope of a best-fit
line of the concentration of nitric acid vs. time for each hour.
Since the calculation of the inferred production rate con-
siders only the hour-to-hour change in nitric acid and not its
gross concentration, the inferred production rate is not af-
fected by distant nitric acid sources. We find very little (less
than 15 %) variation in the concentration of NO
x
with wind
direction and no correlation of the inferred production rate
around noon with sulfate (a power plant tracer) or benzene
(an urban tracer). As the transport time from these sources
to the CTR site is significantly greater than 1 h, this result
is not surprising. The changing boundary layer height could
significantly impact the inferred production rate of nitric acid
during the early morning, but it is likely unimportant at mid-
day.
Also shown in Fig. 4 is the rate of nitric acid production
from the reaction of OH
+
NO
2
(Reaction R1), using the rate
constant measured by Mollner et al. (2010). The vertical bars
for the inferred rate represent the combined effects of the
uncertainty in both the fit of concentration vs. time and in
the calculated nitric acid lifetime, as well as the day-to-day
variations in the observations. The vertical bars shown for
the production of nitric acid from the OH
+
NO
2
reaction in-
www.atmos-chem-phys.net/16/7623/2016/
Atmos. Chem. Phys., 16, 7623–7637, 2016