2
Charles E. Miller, Linda R. Brown, and Robert A. Toth
Jet Propulsion Laboratory, California Institute of Technology,
4800 Oak Grove Dr., Pasadena, California 91109
D. Chris Benner, V. Malathy Devi
The College of William and Mary, Box 8795, Williamsburg, Virginia 23187-8795, U.S.A
Acknowledgments
The research at the Jet Propulsion Laboratory (JPL), California Institute of Technology, was performed under contract with N ational A eronautics and S pace A dministration. We thank NASA ’s Upper Atmosphere Research Program for support of the McMath-Pierce laboratory facility. CEM thanks NASA ’s Tropospheric Chemistry and Atmospheric Composition programs for support. The material presented in this investigation is based upon work supported by the N ational S cience F oundation under Grant No. ATM-0338475 to the College of William and Mary. The authors express sincere appreciation to M. Dulick of NOAO (National Optical Astronomy Observatory) for the assistance in obtaining the data. We also thank
Gregory DiComo for assistance in setting up the multispectrum solution.
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According to Herzberg…
“The spectrum of carbon dioxide has been studied exhaustively by a large number of investigators.”
The Spectrum of CO
2
Below 1.25
J. Opt. Soc. Am. 43 , 1037 (1953) m
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According to Herzberg…
“The spectrum of carbon dioxide has been studied exhaustively by a large number of investigators.”
The Spectrum of CO
2
Below 1.25
J. Opt. Soc. Am. 43 , 1037 (1953) m
Toth et al., JQSRT 109 , 906 (2008)
Toth et al., J. Mol. Spectrosc. 246 , 133 (2007)
Malathy Devi et al., J. Mol. Spectrosc. 245 , 52 (2007)
Toth et al., J. Mol. Spectrosc. 243 , 43 (2007)
Malathy Devi et al., J. Mol. Spectrosc. 242 , 90 (2007)
Toth et al., J. Mol. Spectrosc. 239 , 243 (2006)
Toth et al., J. Mol. Spectrosc. 239 , 221 (2006)
Miller et al., CR Physique 6 , 876 (2005)
Miller et al., J. Mol. Spectrosc. 228 , 329 (2004)
Miller et al., J. Mol. Spectrosc. 228 , 355 (2004)
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X
CO2
Miller et al., JGR 112, D10314 (2007)
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Remote Sensing of GHGs at the Sub-1% Level
Challenges Spectroscopic Databases
Measured Spectra
CO
2
Column
Abundance
Path
Dependent
O
2
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Ratio
X
CO2
Path Independent
Mixing Ratio
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How well can we retrieve CO
2
? - Circa 1990
Wallace and Livingston’s seminal work on CO
2 remote sensing [1990] with the
Kitt Peak FTS revealed deficiencies in the CO
2 spectral database
( HITRAN 1986) .
Insufficient NIR Spectroscopic
Reference Standard Accuracy
1. Incomplete knowledge of spectrum
2. Inadequate position knowledge
3. Intensities known to 5 – 20% unc.
4. Unvalidated air-widths
5. No pressure shifts
Wallace & Livingston, J. Geophys. Res. D 95 , 9823 (1990)
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Improved Solar Spectra Retrievals circa 2002
Kitt Peak solar data reanalyzed
•
Improved retrieval algorithm
•
Improved HITRAN 2000 database
( HITRAN 1992 + CO
2
DND list )
•
Systematic residuals in spectra
•
+5.8% bias between observed and in situ column amounts
•
0.5% precision in column CO
2
"Remaining errors are dominated by deficiencies in the spectroscopic line lists"
Yang et al., Geophys. Res. Lett . 29 (10) GL014537 (2002)
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Washenfelder et al. (2006) Park Falls WI
The TCCON Prototype
New data acquisition hardware and methodology (based around
Bruker 125 HR)
Results
• 0.1% XCO
2 precision
• Systematic residuals persist
• +2.12% bias for 30013
• +2.40% bias for 30012
“Systematic differences attributed to known uncertainties in the CO
2 line strengths and pressure broadened widths”
Uncorrected
Washenfelder et al., J Geophys. Res . 111 D22305 (2006)
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2
Vib. Band Notation follows the HITRAN convention ABCDE where
A = No. v
1
B = No. v
2
C = v
2 quanta quanta vib ang mom
D = No. v
3 quanta
E = 1 : normal
E
1: Fermi res.
Isotopomer
Nomenclature :
16
16
16
16
16
16
18
18
O 12 C 16
O 13 C 16
O 12 C 18
O 12 C 17
O
626
O
636
O
628
O
627
O 13 C 18 O
638
O
O
O
13
12
12
C
C
C
17
18
17
O
637
O
828
O
827
Isotopomer
626
636
628
627
638
637
828
827
Natural
Abundance
0.98420
0.01106
0.0039471
0.000734
0.00004434
0.00000825
0.0000039573
0.00000147
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Improving Laboratory Accuracies Requires
Precise Knowledge/Control of the Experimental State
• Pristine new cells – no contamination
• Temperature monitoring inside the cell
• Isotopic enriched samples
• Mass spectrometric standard samples
• Stable spectrometer performance
Goal for Experimental Uncertainties:
Pressure:
Path:
0.01 Torr (if P > 10 Torr)
Temperature:
0.1 K
2 mm (0.1%)
Composition :
0.05%
SNR : >1000
Resolution : 0.011 cm -1
100% Trans :
0.1%
0% Trans :
0.1%
Positions :
0.0001 cm -1
Intensity :
0.1% (Relative)
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Four
Temp
Probes
(PRT) going
Inside the
Cell
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Accurate CO
2 remote sensing to 0.3% requires knowledge of all absorption features that contribute to the CO
2 absorption spectrum at the level of approximately 0.1% of I max
Examination of the known NIR CO
2 features on a LOG scale shows that transitions from many weaker bands contribute detectable absorption to the spectrum
Completeness will be a critical requirement for the spectral database
Linear
Log
Simulations from HITRAN04
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30014
30013
30012
16 O 12 C 16 O = 626
30011
Path = 97 m
Pres = 2.06 Torr
Temp= 294 K
C
2
H
2 in 2nd cell to calibrate line positions
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1. Determining the Complete Spectrum:
Characterize Isotopologue Transitions
In natural CO
2
16 O 12 C 18 O < 0.4 %
18 O 12 C 18 O < 0.0004 %
Note: 628 has 2 x more lines than symmetric isotopologues ( 626 , 828 ) due to different spin statistical weights.
The 2
ν
3 band of 628 is allowed, but not for
626 , 828.
Note : These 828 bands are not in HITRAN 2004
2 ν
3
626 : 15%
628 : 48%
828 : 33%
16 O
16 O
12 C
12 C
16 O
18 O
18 O 12 C 18 O
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626
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1. Determining the Complete Spectrum:
Characterize Isotopologue Transitions
828 628
The region below 6920 cm -1 would be transparent in models neglecting 18 O species
Note : These 828 lines are not in HITRAN 2004
626
626 : 15%
628 : 48%
828 : 37%
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10
2. Improved Line Positions
Absolute Uncertainties < 0.0001 cm -1
5
00031
MB-Vander Auwera s
= 5x10 -5 cm -1
0
-5
-10
-40 -20 0 m
20 40
Line position differences of the experimentally measured line positions of Miller & Brown and Vander Auwera et al .
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Retrievals : Voigt line shape & line-by-line fitting of individual spectra
% Differences between HITRAN 2004 and new band strengths
Toth et al. J. Mol. Spectrosc. 239, 221 (2006)
Reported 58 band strengths of 626
Toth et al.,
J. Mol. Spectrosc. 243, 43 (2007)
21 bands of 628
8 bands of 627
25 bands of 828
626 5
0
-5
-10
6000
628
7000 2000 3000 4000
Band Center (cm
-1
)
5000
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• Intensities for NIR CO
2 bands from multiple laboratories agree at the sub-1% value
• A more accurate intercomparison requires specific line shape specification
–
Speed dependence
–
Line mixing
626
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4. & 5. Self-broadened widths and pressure-shifts
15 bands of 626
(in cm -1 /atm)
0.13
Self-
Widths
0.12
0.11
0.10
0.09
Note
0.08
vibrational 0.07
dependence
0.06
-80
-0.002
Self-
Shifts
-0.004
-0.006
-0.008
-0.010
-0.012
-80
Fermi Triad and ν
2
+2
4700 – 5400 cm -1
ν
3
Fermi Tetrad and 3
6000
-60
-60
-40
-40
0.13
0.12
0.11
0.10
0.09
20013-00001
20012-00001
20011-00001
21113-01101
21112-01101
21111-01101
01121-01101
0.08
0.07
-20 0 m
20 40 60 80
0.06
-60 -40 -20
-20
0.000
-0.002
-0.004
20013-00001
20012-00001
20011-00001
21113-01101
21112-01101
21111-01101
01121-00001
0 m
-0.006
-0.008
-0.010
-0.012
-0.014
20 40 60 80
-0.016
-60 -40 -20
m = J" for P branch, J"+1 for R branch
– 7000 cm
30014-00001
30013-00001
30012-00001
30011-00001
31113-01101
31112-01101
00031-00001
01131-01101
0 m
20
30014-00001
30013-00001
30012-00001
30011-00001
31113-01101
31112-01101
00031-00001
01131-01101
0 m
20
-1
40
40
ν
3
60
60
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4. & 5. Air-broadened widths and pressure-shifts
626
(in cm -1 /atm)
Fermi Triad and ν
2
+2
4700 – 5400 cm -1
ν
3
Air
Widths
0.100
0.095
0.090
0.085
0.080
Note
0.075
0.070
vibrational
0.065
0.060
dependence
-80
-0.001
Air-
Shifts
-0.002
-0.003
-0.004
-0.005
-0.006
-0.007
-0.008
-0.009
-80
20011-00001
20012-00001
20013-00001
21111-01101
21112-01101
21113-01101
-60
-60
-40
20011-00001
20012-00001
20013-00001
21111-01101
21112-01101
21113-01101
-40
-20
-20
0.10
0.09
0.08
0.07
Fermi Tetrad and 3
6000
0 m
20 40 60 80
0.06
-60
-0.002
-0.004
-0.006
-0.008
-0.010
-0.012
-0.014
-60
-40 -20
0 m
20 40 60 80
-40
m = J" for P branch, J"+1 for R branch
-20
– 7000 cm
0 m
30011-00001
30012-00001
30013-00001
30014-00001
30012-00001-Devi et al.
00031-00001
30013-00001-Devi et al.
20
0
30011-00001
30012-00001
30013-00001
30014-00001
00031-00001
30012-00001-Devi et al
30013-00001-Devi et al.
20 m
-1
40
40
ν
3
60
60
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Observed and calculated balloon-based FTS spectra
JPL MkIV (G. Toon)
29 km Tangent
Height
Top trace:
HITRAN 2004
Right trace:
Current Best line list
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Small Changes in Widths Affect
Retrievals at High Airmass
Test Line List A Test Line List B
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Accuracy of ± 0.3% using new Voigt line list
Region
Used
2.1 m m
1.6 m m
1.58 m m
Differences Between In Situ and FTS Column CO
2
( Ground - and Balloon -based)
[After Sen et al., 2006 HITRAN Conference]
Bruker 125 HR:Park Falls
Z min
: 0.47 km; SZA: 38.7
HITRAN
2004
JPL
2008
9%
4%
-1%
+0.3%
-0.1%
-0.3%
MkIV (JPL)
Z min
: 31.65 km; SZA: 91.7
HITRAN
2004
JPL
2008
7% +0.2%
Precision ~0.1% [Washenfelder et al. 2006]
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Active Remote Sensing of CO
2
Requires
Even Greater Line Shape Accuracy
ASCENDS
ASCOPE
GOSAT-II
P = 269.03 Torr
L = 0.347 m
T = 297.04K.
Candidate transition: R(30) of 20013
00001
@ 2050.967 nm (4875.748 cm -1 )
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Improved Multispectrum Fitting
[Benner et al., JQSRT 53, 705 (1995)]
Line Positions: n i n i
= n
0
+ B(J(J+1)) + D(J(J+1)) resonant frequency n
0 band origin
B, D, H rotational constants
2 + H(J(J+1)) 3 + …
J rotational quantum number
Line Shape Parameters:
i = a
1
+ a
2 m + a
3 m 2 +a
4 m 3 +
…..
Measured half-width at half-max at each line position
Line Intensities:
S i
= ( n i
/ n
0
)(S v
/L i
) exp(-hcE i
″/kT)[1-exp(hcv i
/kT)].F
S i
, observed individual line intensity
S
L v i vibrational band intensity,
Hönl-London factor, where l i
= (m 2
l
″ 2 )/|m| for CO
2 m = J
″+1 for the R branch, m =
-
J
″ for the P branch
J
″ lower-state rotational quantum number. l angular momentum quantum number.
Q r
E i lower state rotational partition function at T0=296 K
″ lower state rotational energy
F Herman-Wallis factor = [1+A
1 m+A
2 m 2 +A
3 m 3 ]
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Line Mixing Occurs in CO2 P and R Branches
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Multispectral Fitting of the
30012 Spectrum
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CO
2
Line Mixing Coefficients
Rosenkranz
Off diagonal relaxation matrix
-
1
-
1
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Line Mixing & Speed Dependence Observed for
Self- and Air-broadened Spectra
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Conclusions
• Accurate remote sensing of CO
2 is critical for climate change science
• CO
2 remote sensing poses a significant spectroscopic and algorithm challenge
– This is NOT YET a solved problem
• Consideration of strong 16 O 12 C 16 O (626) transitions alone is insufficient
– Must include hot bands
– Must include 16 O 13 C 16 O (636), 16 O 12 C 18 O (628), etc
• Line shape choice is crucial to simulate high quality spectra within their experimental uncertainty
– Non-Voigt line shapes improve fits 30% - 50% vs Voigt fits
– Line Mixing is needed to remove systematic residuals
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Chris Benner
(W&M)
Malathy Devi
(LaRC)
Not shown
Linda Brown
Bob Toth
(JPL)
$$$ NASA, NSF
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Mike Dulick
(KPNO)
Jet Propulsion Laboratory
California Institute of Technology
Backup
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2
0.2% precision desired
Grassi et al., Planet. Space Sci . 53 , 1017 (2005)
Measured & modeled PFS/Mars spectra
PFS/Mars Express (2004)
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Isotopomer
626
636
628
627
638
637
828
827
Natural
Abundance
0.98420
0.01106
0.0039471
0.000734
*
*
*
*
0.00004434
0.00000825
0.0000039573
0.00000147
Jet Propulsion Laboratory
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Unanticipated Behavior for
High-J Transitions
HighJ transitions may show large (>10 -4 cm unexpected deviations from their predicted
-1 ), positions due to
– Poor spectroscopic parameter extrapolations
– Perturbations not observed at lowJ
Rare isotopologues and hot bands are especially susceptible to these problems since they are much more difficult to characterize accurately
3000
2500
2000
1500
1000
500
0
-500
-60 -40 -20
22211
MB-R92 (e)
MB-R92 (f)
626
0 m
20 40 60
200
0
-200
-400
-600
-800
-1000
-1200
-1400
-1600
-60
40
20
0
-20
-40
-60 -40
-40
636
20012-00001
This work – R92
-20 0 m
20
20012- 00001
This work-R92
This work-Ding
638
40
-20 0 m
20 40
60
60
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Uncharacterized High-J Perturbations May Lead to Gross Retrieval Errors
Short scans of CO
2 covering the perturbed R74, R76, R78 and R80 lines in the 20012-00001 band of 626.
The calculated positions refer to unperturbed locations calculated from parameters derived from lower J transitions.
Toth et al., J. Mol. Spectrosc. 239, 221 (2006)
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Filling the 2 um Atmospheric Window (1/2)
13 CO
2 constitutes only
~1% of the natural CO
2
Isotopic substitution shifts the band centers in the
Fermi triad region such that the 13 CO
2 bands effectively fill the 2 um
(5000 cm -1 ) atmospheric windows
– Significant radiative impact under saturated absorption conditions
The allowed 2v
3 band of
638 (NEW) is seen in the
4300 – 4700 cm -1 window
C
2
H
2
CO
C
2
H
2
CO
NEW
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626
636
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