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Citation: Nikolis, D.; Karagkiozidis,
D.; Bais, A.F. Retrieval of Total NO2
Columns Using Direct-Sun
Differential Optical Absorption
Spectroscopy Measurements in
Thessaloniki. Environ. Sci. Proc. 2023,
26, 51. https://doi.org/10.3390/
environsciproc2023026051
Academic Editors: Konstantinos
Moustris and Panagiotis Nastos
Published: 25 August 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
Proceeding Paper
Retrieval of Total NO2Columns Using Direct-Sun Differential
Optical Absorption Spectroscopy Measurements
in Thessaloniki †
Dimitrios Nikolis *, Dimitris Karagkiozidis and Alkiviadis F. Bais
Laboratory of Atmospheric Physics, Physics Department, Aristotle University of Thessaloniki,
54124 Thessaloniki, Greece; dkaragki@auth.gr (D.K.); abais@auth.gr (A.F.B.)
*Correspondence: dnikolis@auth.gr
†Presented at the 16th International Conference on Meteorology, Climatology and Atmospheric
Physics—COMECAP 2023, Athens, Greece, 25–29 September 2023.
Abstract:
The monitoring of trace gases in the troposphere has been routinely performed at the
Laboratory of Atmospheric Physics, Thessaloniki, Greece, for a decade now, by multiple Multi-Axis
Differential Optical Absorption Spectroscopy (MAX-DOAS) instruments. Even though measurements
of trace gas concentrations in the troposphere are of great interest in terms of air quality, the MAX-
DOAS technique is only sensitive to absorbers in the lowest few kilometers of the atmosphere. In
this work, we present a methodology for the retrieval of total NO
2
columns in the atmosphere by
applying the DOAS technique on direct sun spectra (DS-DOAS) measured with a new research-grade
system. The advantages and limitations of the total NO
2
retrieval methodology, based on DS-DOAS,
are discussed. The accuracy and the quality of the retrieved columns were assessed by comparison
with a collocated Pandora system that also measures total NO
2
column amounts using a similar
technique with independent calibration.
Keywords: MAX-DOAS; Pandora; NO2total column; DS-DOAS
1. Introduction
Nitrogen dioxide (NO
2
) is a major pollutant worldwide, playing a key role in the
tropospheric and stratospheric chemistry [
1
]. It partly affects the ozone (O
3
) distribution in
the Earth’s atmosphere through contribution to the catalytic destruction of ozone in the
upper troposphere and lower stratosphere [
2
]. In the lower troposphere (mostly in the
boundary layer), the horizontal and vertical distributions of NO
2
strongly affect the air
quality and, consequently, human health [3].
Retrievals of total vertical column amount of NO
2
from space-borne sensors are
usually performed by applying Differential Optical Absorption Spectroscopy (DOAS) on
radiance measurements of scattered sunlight [
4
]. Concerning the ground-based systems,
sky radiances are measured either in the zenith direction (zenith-sky DOAS) [
5
] or in
multiple directions (MAX-DOAS) [6].
In this work, the direct-sun DOAS (DS-DOAS) technique was used for the retrieval
of total NO
2
column amounts. This technique has proven to be accurate for deriving
NO
2
concentrations from ground-based instruments using measurements of direct solar
irradiance [
7
], where the Air Mass Factor is approximated by the secant of the solar zenith
angle (SZA), as discussed in the Data and Methodology section. The DS-DOAS method
is equally sensitive to stratospheric and tropospheric NO
2
concentrations. It does not
require complicated radiative transfer calculations, is not affected by the Ring effect, does
not require prior knowledge of ground reflectivity [
7
], nor the assumption of horizontal
homogeneity (except for large SZA), typical of zenith-sky DOAS and MAXDOAS.
Environ. Sci. Proc. 2023,26, 51. https://doi.org/10.3390/environsciproc2023026051 https://www.mdpi.com/journal/environsciproc
Environ. Sci. Proc. 2023,26, 51 2 of 6
2. Instrumentation
A new research-grade MAX-DOAS instrument, Delta, was developed at the Labora-
tory of Atmospheric Physics in collaboration with the Royal Belgian Institute for Space
Aeronomy (BIRA-IASB), in the framework of the PANhellenic infrastructure for Atmo-
spheric Composition and Climate Change (PANACEA) project. Delta is characterized
by increased sensitivity and accuracy in measuring trace gases and aerosols, providing
valuable insights into air quality and atmospheric chemistry. Delta consists of two sepa-
rate units: The external unit houses the optical head which is mounted on a sun tracker
that allows accurate orientation of the optics at different viewing directions. The Delta
system’s internal unit consists of a spectrograph that analyzes the incoming radiation and
produces a spectrum and a CCD camera that functions as a detector and measures the
spectral intensity. Both are placed in a thermally isolated box, designed by Raymetrics
S.A. (https://raymetrics.com, accessed on 25 March 2023), where the temperature is kept
constant at 20 ◦C with a thermoelectric Peltier system.
The Pandora 2S instrument was designed from a collaboration of the National Aero-
nautics and Space Administration (NASA) and the European Space Agency (ESA) with
SciGlob to address the gap in air quality validation of satellite measurements. It is an easy-
to-deploy, ground-based system that monitors various atmospheric trace gases absorbing
in the UV and visible spectral ranges, such as NO
2
, O
3
and formaldehyde (HCHO). The
Pandora 2S Head sensor is mounted on a microprocessor-controlled azimuth and elevation
sun tracker and can point in any direction in the sky. The control software (Blick Software
Suite 1.8) supports automated measurements, remote monitoring and data transfers over
the internet. Pandora system’s internal unit consists of a controller running the BlickO
1.8 operating software under Microsoft Windows 10 Pro, the power distribution and system
interface electronics unit and the two spectrometers (UV/Vis and Vis/NIR). All these
components are installed to a thermally isolated box.
3. Data and Methodology
The Pandora direct-sun total NO2column data were produced using Pandora’s stan-
dard NO
2
algorithm implemented in the BlickP 1.8 software [
8
]. The measured direct-sun
spectra in the range of 400–440 nm were used in the analysis. The reference spectrum is a
synthetic reference spectrum, which is usually the average over several spectra measured
by the Pandora unit and corrected for the estimated total optical depth of the different
atmospheric extinction processes included in it.
Two spectral fittings were applied to the data, which differ in the effective temperature
of NO
2
absorption. In one case, the NO
2
cross section is taken for the boundary layer
temperature climatology and for the stratospheric temperature climatology in the other
case. For the final NO
2
total column product, an effective height for the stratosphere and a
stratospheric NO2climatology are used to estimate the stratospheric NO2fraction.
A direct-sun NO
2
inversion method, similar to that described in [
7
], was applied to
the radiances measured by the Delta system. These measurements were analyzed using
the QDOAS (version 3.2, September 2017) spectral fitting software suite developed by
BIRA-IASB (https://uv-vis.aeronomie.be/software/QDOAS/, accessed on 12 May 2023)
to derive the slant column density (SC) of NO
2
relative to a reference spectrum. The
measured relative slant columns SCRELi at time i would be given by the linear relation:
SCRELi = SCi−SCREF (1)
where SCiis the absolute slant column at time i.
The reference spectrum that is used in the DOAS analysis is a direct-sun spectrum
recorded around noon during a summer day under low NO
2
conditions (12/07/2022).
The slant column density in the reference spectrum was calculated with the Bootstrap
Estimation method [9] which will be discussed in the Results section.
Environ. Sci. Proc. 2023,26, 51 3 of 6
From the SC, the vertical column density (VC) is calculated by division with the
appropriate airmass factor. For the calculation of the direct-sun air mass factor, we use
Equation (2):
AMF = sec{arcsin[(r/(r + hEFF)) sin(SZAa)]} (2)
where r is the distance from the center of the Earth to the measurement location
(~6370 km
),
SZAa is the apparent solar zenith angle (i.e., the true SZA corrected for refraction), and
h
EFF
is the assumed effective height of the NO
2
layer. Here, we assume h
EFF
= 25 km to
derive the stratospheric AMFs and hEFF = 12.5 km for the total column AMF.
The absorption cross sections used are the same with those used in Pandora’s data
analysis [
10
] for NO
2
effective temperatures of 220, 298 and 254.5 K, which are represen-
tative for the stratospheric, tropospheric and total NO
2
columns, respectively. The other
atmospheric gases’ absorption cross sections used are for O
3
at 223 K [
11
], H
2
O at 293 K,
O4at 262 K [12], OIO at 298 K [13] and I2at 295 K [14].
4. Results
To calculate the total VC from the Delta system measurements, it is essential that
the SC of the reference spectrum is calculated. The method applied to perform this is the
Bootstrap Estimation method [
14
]. Data with Root Mean Square Errors greater than 2 are
excluded to achieve a better performance of the method. The reason for selecting a value of
2 is because it excludes the 10% of the data with the greatest errors, as can be seen in the
histogram in Figure 1.
Environ. Sci. Proc. 2023, 26, x 3 of 7
The reference spectrum that is used in the DOAS analysis is a direct-sun spectrum
recorded around noon during a summer day under low NO2 conditions (12/07/2022). The
slant column density in the reference spectrum was calculated with the Bootstrap Estima-
tion method [9] which will be discussed in the Results section.
From the SC, the vertical column density (VC) is calculated by division with the ap-
propriate airmass factor. For the calculation of the direct-sun air mass factor, we use Equa-
tion (2):
AMF = sec{arcsin[(r/(r + hEFF)) sin(SZAa)]} (2)
where r is the distance from the center of the Earth to the measurement location (~6370
km), SZAa is the apparent solar zenith angle (i.e., the true SZA corrected for refraction),
and hEFF is the assumed effective height of the NO2 layer. Here, we assume hEFF = 25 km to
derive the stratospheric AMFs and hEFF = 12.5 km for the total column AMF.
The absorption cross sections used are the same with those used in Pandora’s data
analysis [10] for NO2 effective temperatures of 220, 298 and 254.5 K, which are representa-
tive for the stratospheric, tropospheric and total NO2 columns, respectively. The other at-
mospheric gases’ absorption cross sections used are for O3 at 223 K [11], H2O at 293 K, O4
at 262 K [12], OIO at 298 K [13] and I2 at 295 K [14].
4. Results
To calculate the total VC from the Delta system measurements, it is essential that the
SC of the reference spectrum is calculated. The method applied to perform this is the Boot-
strap Estimation method [14]. Data with Root Mean Square Errors greater than 2 are ex-
cluded to achieve a better performance of the method. The reason for selecting a value of
2 is because it excludes the 10% of the data with the greatest errors, as can be seen in the
histogram in Figure 1.
Figure 1. Histogram of RMSE of NO2 relative slant columns measured by Delta and analyzed
through QDOAS 3.2 software.
For the Bootstrap method, the relative slant columns are binned with respect to AMFs
and the average of the lowest 2nd percentile in each bin is plotted against the correspond-
ing AMFs. The bin size was chosen to be 0.4 units of AMFs. The slant column density of
the reference day, SCREF = 7.65 Pmolec/cm2, is derived from the linear fit of the 2nd per-
centile averages and the corresponding AMFs (see Figure 2) as the intercept of the regres-
sion line.
Figure 1.
Histogram of RMSE of NO
2
relative slant columns measured by Delta and analyzed through
QDOAS 3.2 software.
For the Bootstrap method, the relative slant columns are binned with respect to AMFs
and the average of the lowest 2nd percentile in each bin is plotted against the corresponding
AMFs. The bin size was chosen to be 0.4 units of AMFs. The slant column density of the
reference day, SC
REF
= 7.65 Pmolec/cm
2
, is derived from the linear fit of the 2nd percentile
averages and the corresponding AMFs (see Figure 2) as the intercept of the regression line.
Environ. Sci. Proc. 2023,26, 51 4 of 6
Environ. Sci. Proc. 2023, 26, x 4 of 7
Figure 2. Relative NO2 slant columns SCREL as a function of AMFs for Delta. The green dots are the
2nd percentile minima of each of the 5 AMF bins and the red line is the respective linear regression.
The total slant column density for the Delta system SCTOTD is derived from Equation
(3):
SCTOTD = SCTD [(1 − qCLIM × AMFS)/SCSD] + AMFS × qCLIM + SCREF (3)
where SCTD and SCSD are, respectively, the tropospheric and stratospheric slant columns
from the Delta system and AMFS are calculated assuming that most of the absorption oc-
curs due to the stratospheric NO2. Finally, qCLIM represents the climatological value of the
stratospheric NO2 column for the location, season and time of each measurement.
The SCTD and SCSD are derived from the QDOAS analysis using cross sections for the
climatological temperatures of the troposphere (298 K) and the stratosphere (220 K), re-
spectively. Essentially, Equation (3) partitions the tropospheric and stratospheric columns
to the total column of NO2 under the assumption that the stratospheric column remains
close to the climatological values. Finally, the absolute total vertical column is calculated
for the Delta system:
VCTOTD = SCTOTD/AMFTOT (4)
where AMFTOT is the AMF calculated for the effective height 12.5 km, which is assumed
to be representative of the total NO2 column.
The comparison of the absolute total VCDs from the two systems is visualized in
Figure 3. In Figure 4, the differences between the absolute total vertical column amounts
from the two systems are shown.
Figure 2.
Relative NO
2
slant columns SC
REL
as a function of AMFs for Delta. The green dots are the
2nd percentile minima of each of the 5 AMF bins and the red line is the respective linear regression.
The total slant column density for the Delta system SC
TOTD
is derived from Equation (3):
SCTOTD = SCTD [(1 −qCLIM ×AMFS)/SCSD] + AMFS×qCLIM + SCREF (3)
where SC
TD
and SC
SD
are, respectively, the tropospheric and stratospheric slant columns
from the Delta system and AMF
S
are calculated assuming that most of the absorption
occurs due to the stratospheric NO
2
. Finally, q
CLIM
represents the climatological value of
the stratospheric NO2column for the location, season and time of each measurement.
The SC
TD
and SC
SD
are derived from the QDOAS analysis using cross sections for
the climatological temperatures of the troposphere (298 K) and the stratosphere (220 K),
respectively. Essentially, Equation (3) partitions the tropospheric and stratospheric columns
to the total column of NO
2
under the assumption that the stratospheric column remains
close to the climatological values. Finally, the absolute total vertical column is calculated
for the Delta system:
VCTOTD = SCTOTD/AMFTOT (4)
where AMF
TOT
is the AMF calculated for the effective height 12.5 km, which is assumed to
be representative of the total NO2column.
The comparison of the absolute total VCDs from the two systems is visualized in
Figure 3. In Figure 4, the differences between the absolute total vertical column amounts
from the two systems are shown.
The comparison of the total NO
2
absolute vertical columns measured by the two
systems reveals generally a very good correlation (R
≈
0.97), with a few outliers. The slope
of the linear regression was very close to the ideal value of 1 (1.009) and the offset was close
to 0.1 Pmolec/cm
2
. The points deviating from the ideal line are due to residual noise in
the retrieval algorithms and instrumental noise and uncertainties. The distribution of the
differences peaks very close to 0.1, which can be explained by the offset value, indicates
that more than 95% of the measurements agree to within 0.1 Pmolec/cm2.
Environ. Sci. Proc. 2023,26, 51 5 of 6
Environ. Sci. Proc. 2023, 26, x 5 of 7
Figure 3. The comparison between absolute total VCDs from Delta and Pandora systems.
Figure 4. The total NO2 VCDs differences between the Delta and the Pandora systems (in
Pmolec/cm2).
The comparison of the total NO2 absolute vertical columns measured by the two sys-
tems reveals generally a very good correlation (R ≈ 0.97), with a few outliers. The slope of
the linear regression was very close to the ideal value of 1 (1.009) and the offset was close
to 0.1 Pmolec/cm2. The points deviating from the ideal line are due to residual noise in the
retrieval algorithms and instrumental noise and uncertainties. The distribution of the dif-
ferences peaks very close to 0.1, which can be explained by the offset value, indicates that
more than 95% of the measurements agree to within 0.1 Pmolec/cm2.
5. Conclusions
A methodology for the calculation of the total NO2 column density for a research-
grade DOAS system (Delta) operating in Thessaloniki at the Laboratory of Atmospheric
Physics, AUTH, was presented. The data from this system were compared to data from a
collocated Pandora system that has been operating since September 2022. The comparison
of the total ΝΟ2 vertical column densities between the Pandora and the Delta systems
shows a good agreement, taking into account that the two systems are completely inde-
pendent. As the Pandora system has been validated before delivery in the frame of the
Pandonia Global Network, their achieved agreement suggests that the Delta system is
Figure 3. The comparison between absolute total VCDs from Delta and Pandora systems.
Environ. Sci. Proc. 2023, 26, x 5 of 7
Figure 3. The comparison between absolute total VCDs from Delta and Pandora systems.
Figure 4. The total NO2 VCDs differences between the Delta and the Pandora systems (in
Pmolec/cm2).
The comparison of the total NO2 absolute vertical columns measured by the two sys-
tems reveals generally a very good correlation (R ≈ 0.97), with a few outliers. The slope of
the linear regression was very close to the ideal value of 1 (1.009) and the offset was close
to 0.1 Pmolec/cm2. The points deviating from the ideal line are due to residual noise in the
retrieval algorithms and instrumental noise and uncertainties. The distribution of the dif-
ferences peaks very close to 0.1, which can be explained by the offset value, indicates that
more than 95% of the measurements agree to within 0.1 Pmolec/cm2.
5. Conclusions
A methodology for the calculation of the total NO2 column density for a research-
grade DOAS system (Delta) operating in Thessaloniki at the Laboratory of Atmospheric
Physics, AUTH, was presented. The data from this system were compared to data from a
collocated Pandora system that has been operating since September 2022. The comparison
of the total ΝΟ2 vertical column densities between the Pandora and the Delta systems
shows a good agreement, taking into account that the two systems are completely inde-
pendent. As the Pandora system has been validated before delivery in the frame of the
Pandonia Global Network, their achieved agreement suggests that the Delta system is
Figure 4.
The total NO
2
VCDs differences between the Delta and the Pandora systems (in
Pmolec/cm2).
5. Conclusions
A methodology for the calculation of the total NO
2
column density for a research-grade
DOAS system (Delta) operating in Thessaloniki at the Laboratory of Atmospheric Physics,
AUTH, was presented. The data from this system were compared to data from a collocated
Pandora system that has been operating since September 2022. The comparison of the total
NO
2
vertical column densities between the Pandora and the Delta systems shows a good
agreement, taking into account that the two systems are completely independent. As the
Pandora system has been validated before delivery in the frame of the Pandonia Global
Network, their achieved agreement suggests that the Delta system is reliable regarding its
setup and operation, and, along with other products, it can be used to reliably monitor the
NO2total column amounts in Thessaloniki.
Author Contributions:
Conceptualization, D.N., D.K. and A.F.B.; methodology, D.N. and A.F.B.;
writing—original draft preparation, D.N.; writing—review and editing, D.K. and A.F.B.; visualization,
D.N.; supervision, A.F.B. All authors have read and agreed to the published version of the manuscript.
Funding: This research received no external funding.
Environ. Sci. Proc. 2023,26, 51 6 of 6
Institutional Review Board Statement: Not applicable.
Informed Consent Statement: Not applicable.
Data Availability Statement:
The data presented in this study are available on request from the
corresponding author. The data are not publicly available because they are preliminary retrievals.
Acknowledgments:
The authors acknowledge Thomas Danckaert (thomas.danckaert@aeronomie.be),
Caroline Fayt (caroline.fayt@aeronomie.be) and Michel Van Roozendael (michelv@aeronomie.be) for
providing the QDOAS 3.2 software.
Conflicts of Interest: The authors declare no conflict of interest.
References
1.
Crutzen, P.J.; Heidt, L.E.; Krasnec, J.P.; Pollock, W.H.; Seiler, W. Biomass Burning as a Source of Atmospheric Gases CO, H
2
, N
2
O,
NO, CH3Cl and COS. Nature 1979,282, 253–256. [CrossRef]
2.
Brasseur, G.P.; Cox, R.A.; Hauglustaine, D.; Isaksen, I.; Lelieveld, J.; Lister, D.H.; Sausen, R.; Schumann, U.; Wahner, A.; Wiesen, P.
European Scientific Assessment of the Atmospheric Effects of Aircraft Emissions. Atmos. Environ.
1998
,32, 2329–2418. [CrossRef]
3.
Air Quality in Europe 2022—European Environment Agency, Web Report. Available online: https://www.eea.europa.eu/
publications/air-quality-in-europe-2022 (accessed on 10 May 2023).
4. Platt, U.; Stutz, J. Differential Optical Absorption Spectroscopy; Springer: Berlin/Heidelberg, Germany, 2008. [CrossRef]
5.
Liley, J.B.; Johnston, P.V.; McKenzie, R.L.; Thomas, A.J.; Boyd, I.S. Stratospheric NO
2
Variations from a Long Time Series at Lauder,
New Zealand. J. Geophys. Res. Atmos. 2000,105, 11633–11640. [CrossRef]
6.
Hönninger, G.; Von Friedeburg, C.; Platt, U. Multi Axis Differential Optical Absorption Spectroscopy (MAX-DOAS). Atmos. Chem.
Phys. 2004,4, 231–254. [CrossRef]
7.
Cede, A.; Herman, J.; Richter, A.; Krotkov, N.; Burrows, J. Measurements of Nitrogen Dioxide Total Column Amounts Using a
Brewer Double Spectrophotometer in Direct Sun Mode. J. Geophys. Res. 2006,111, D05304. [CrossRef]
8.
Zhao, X.; Griffin, D.; Fioletov, V.; McLinden, C.; Davies, J.; Ogyu, A.; Lee, S.C.; Lupu, A.; Moran, M.D.; Cede, A.; et al. Retrieval of
Total Column and Surface NO2from Pandora Zenith-Sky Measurements. Atmos. Chem. Phys. 2019,19, 10619–10642. [CrossRef]
9.
Herman, J.; Cede, A.; Spinei, E.; Mount, G.; Tzortziou, M.; Abuhassan, N. NO
2
Column Amounts from Ground-Based Pandora
and MFDOAS Spectrometers Using the Direct-Sun DOAS Technique: Intercomparisons and Application to OMI Validation. J.
Geophys. Res. 2009,114, D13307. [CrossRef]
10.
Vandaele, A.C.; Hermans, C.; Simon, P.C.; Carleer, M.; Colin, R.; Fally, S.; Merienne, M.F.; Jenouvrier, A.; Coquart, B. Measurements
of the NO
2
Absorption Cross-Section from 42 000 cm
−1
to 10 000 cm
−1
(238–1000 Nm) at 220 K and 294 K. J. Quant. Spectrosc.
Radiat. Transf. 1998,59, 171–184. [CrossRef]
11.
Bogumil, K.; Orphal, J.; Homann, T.; Voigt, S.; Spietz, P.; Fleischmann, O.C.; Vogel, A.; Hartmann, M.; Kromminga, H.;
Bovensmann, H.; et al. Measurements of Molecular Absorption Spectra with the SCIAMACHY Pre-Flight Model: Instrument
Characterization and Reference Data for Atmospheric Remote-Sensing in the 230–2380 Nm Region. J. Photochem. Photobiol. A
Chem. 2003,157, 167–184. [CrossRef]
12.
Thalman, R.; Volkamer, R. Temperature Dependent Absorption Cross-Sections of O
2
–O
2
Collision Pairs between 340 and 630 Nm
and at Atmospherically Relevant Pressure. Phys. Chem. Chem. Phys. 2013,15, 15371–15381. [CrossRef] [PubMed]
13.
Spietz, P.; Martín, J.C.; Burrows, J.P. Spectroscopic Studies of the I
2
/O
3
Photochemistry: Part 2. Improved Spectra of Iodine
Oxides and Analysis of the IO Absorption Spectrum. J. Photochem. Photobiol. A Chem. 2005,176, 50–67. [CrossRef]
14.
Saiz-Lopez, A.; Saunders, R.W.; Joseph, D.M.; Ashworth, S.H.; Plane, J.M. Absolute Absorption Cross-Section and Photolysis Rate
of I2. Atmos. Chem. Phys. 2004,4, 1443–1450. [CrossRef]
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