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Measurements of the absorption cross section of 13CHO13CHO at visible wavelengths and application to DOAS retrievals Journal: Manuscript ID: Manuscript Type: Date Submitted by the Author: Complete List of Authors: The Journal of Physical Chemistry Draft Article n/a Goss, Natasha; University of Colorado, Chemistry and Biochemistry Waxman, Eleanor; University of Colorado, Chemistry and Biochemistry; University of Colorado, CIRES Coburn, Sean; University of Colorado, Chemistry and Biochemistry; University of Colorado, CIRES Koenig, Theodore; University of Colorado, Chemistry and Biochemistry; University of Colorado, CIRES Thalman, Ryan; University of Colorado, Chemistry and Biochemistry; University of Colorado, CIRES Dommen, Josef; Paul Scherrer Institute, Hannigan, James; National Center for Atmospheric Research, Atmospheric Chemistry Division Tyndall, Geoffrey; National Center for Atmospheric Research, Atmospheric Chemistry Division Volkamer, Rainer; University of Colorado, Chemistry and Biochemistry; University of Colorado, CIRES ACS Paragon Plus Environment Page 1 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 1 Measurements of the absorption cross section of 13CHO13CHO at visible 2 wavelengths and application to DOAS retrievals 3 Natasha R. Goss1,a, Eleanor M. Waxman1,2, Sean C. Coburn1,2, Theodore K. Koenig1,2, Ryan 4 Thalman1,2,b, Josef Dommen3, James W. Hannigan4, Geoffrey S. Tyndall4, and Rainer 5 Volkamer1,2,* 6 1 7 80309-0215, USA. 8 2 9 at Boulder, Boulder, CO, 80309-0215, USA Department of Chemistry and Biochemistry, University of Colorado at Boulder, Boulder, CO, Cooperative Institute for Research in Environmental Sciences (CIRES), University of Colorado 10 3 Paul Scherrer Institute, Villigen, Switzerland. 11 4 NCAR/ACD, Mesa Lab 041, Boulder, CO, 80307, USA. 12 a now at: Dept. of Earth and Planetary Sciences, Harvard University, Cambridge, MA, 02138, 13 USA. 14 b 15 Department, Upton, NY, 11973, USA. now at: Brookhaven National Laboratory, Biological, Environmental and Climate Sciences 16 17 * 18 Rainer Volkamer, Department of Chemistry and Biochemistry & CIRES, University of Colorado 19 at Boulder, Boulder, CO, 80309-0215, USA. Phone: +1 (303) 492-1843. Fax: +1 (303) 492- 20 5894. email: [email protected] Corresponding author address: 21 22 23 Manuscript prepared for submission to J. Phys. Chem. (Mario Molina Festschrift) 24 Last edited 8 November 2014 25 1 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 26 27 Page 2 of 24 Abstract The trace gas glyoxal (CHOCHO) forms from the atmospheric oxidation of hydrocarbons 28 and is a precursor to secondary organic aerosol. We have measured the absorption cross section 29 of disubstituted 13CHO13CHO (13C glyoxal) at moderately high (1 cm-1) optical resolution 30 between 21280-23260 cm-1 (430-470 nm). The isotopic shifts in the position of absorption lines 31 were found to be largest near 455 nm (∆ν =14 cm-1; ∆λ = 0.29 nm), while no significant shifts 32 were observed near 440 nm (∆ν < 0.5 cm-1; ∆λ < 0.01 nm). These shifts are used to investigate 33 the selective detection of 12C glyoxal (natural isotope abundance) and 13C glyoxal by in situ 34 Cavity Enhanced Differential Optical Absorption Spectroscopy (CE-DOAS) in a series of 35 sensitivity tests using synthetic spectra, and laboratory measurements of mixtures containing 12C 36 and 13C glyoxal, nitrogen dioxide and other interfering absorbers. We find the changes in 37 apparent spectral band shapes remain significant at the moderately high optical resolution typical 38 of CE-DOAS (0.55 nm FWHM). CE-DOAS allows for the selective online detection of both 39 isotopes with detection limits of ~200 pptv (1 pptv = 10-12 volume mixing ratio), and sensitivity 40 towards total glyoxal of few pptv. The 13C absorption cross section is available for download at 41 http://chem.colorado.edu/volkamergroup/index.php/publications. 42 43 Keywords: glyoxal, 12C, 13C, absorption spectroscopy, isotope shifts 44 45 1. Introduction 46 Glyoxal (CHOCHO) is an alpha-dicarbonyl product of hydrocarbon oxidation in the 47 atmosphere and a useful indicator of volatile organic compound (VOC) photochemistry.1-3 The 48 atmospheric degradation of biogenic VOCs such as isoprene and its oxidation products is the 49 largest source of glyoxal worldwide but it also has anthropogenic and biomass burning sources.42 ACS Paragon Plus Environment Page 3 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 50 8 51 hours.6, 7 Glyoxal can also be lost heterogeneously through aerosol uptake to form secondary 52 organic aerosol (SOA).9 Photolysis and reaction with OH radicals limit glyoxal’s lifetime during daylight to a few 53 The extent of glyoxal’s contribution to SOA formation is of current interest. 8-14 54 Laboratory studies have shown that it can produce significant SOA in the presence of light,9, 15 55 and such studies have detected a number of products from multiphase reactions of glyoxal in 56 model aerosols. Liggio et al.12 reported organosulfate formation from glyoxal using a low- 57 resolution mass spectrometer and Galloway et al.14 reported a number of oligomers, imidazoles, 58 and organosulfates in a series of experiments using a high-resolution aerosol mass spectrometer. 59 However, some products that were attributed to glyoxal-SOA in laboratory experiments could 60 indeed have been the result of chamber background contamination.16 Isotopic labeling of VOC 61 precursors injected into the chamber can be utilized to separate SOA products formed due to 62 repartitioning of chamber background from products formed from VOC precursor oxidation in- 63 situ. Knowledge of the 13C glyoxal absorption cross-section is prerequisite for time resolved 64 measurements of glyoxal isotopes, which can serve as useful tools in laboratory studies of SOA 65 formation. Rotational assignments of the strong à 1Au ← ෩ X 1Ag (π* ← n) transition at 455 nm are 66 67 available for 12C and 13C glyoxal.17,18 The high-resolution absorption cross-section spectrum of 68 12 69 observations,22 as well as calculations of glyoxal photolysis in the atmosphere.21 However, to 70 date there is no UV-visible absorption cross section spectrum of 13C glyoxal available in the 71 literature. We present absorption cross section spectra for 12C and 13C glyoxal, and explore their 72 use to measure both isotopes by cavity enhanced absorption spectroscopy. C glyoxal19 has undergone detailed evaluations,20, 21 and is widely used for global glyoxal 3 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 73 2. Experimental Section 74 Generation of 13C glyoxal 75 Page 4 of 24 Glyoxal is often synthesized by heating glyoxal trimer dihydrate crystals in the presence 76 of P2O5.19 However, these methods were not practical for this work because 13C glyoxal is not 77 readily available as either the trimer dihydrate form or in aqueous solution. Gas phase glyoxal 78 (12C and 13C) was synthesized from the reaction of acetylene with chlorine radicals (see Figure 1) 79 in the presence of oxygen with a 21% yield.23 The reaction was done at room temperature and a 80 total pressure of ~620 Torr, in a reaction mixture that contained the following partial pressures: 3 81 Torr of chlorine (Matheson, 99% purity), 80 Torr of acetylene (12C from Air Products, 13C from 82 Sigma Aldrich), 150 Torr of oxygen (US Welding), back filled with nitrogen (General Air, 83 boiled off from liquid dewar). To conserve reagent during the production of 13C glyoxal, the 13C 84 acetylene was added to the cell first, then the excess was drawn off into the original vessel for 85 later use with a liquid nitrogen trap. A UV blacklamp was used to initiate the reaction. 86 87 Figure 1: Mechanism of chlorine-radical-initiated formation of glyoxal from acetylene. 88 89 90 91 Recording of High-Resolution Visible Spectra Spectra were collected using a Bruker 120 HR FTS equipped with an external lightemitting diode (LED) light source centered at 459 nm (FWHM 27 nm, LEDEngin). The LED 4 ACS Paragon Plus Environment Page 5 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 92 light was collimated through a 1.00 m gas cell equipped with UV blacklamps for photolysis of 93 chlorine gas (Figure 2). The LED was chosen as it yields higher photon flux and thus better 94 signal-to-noise ratios (SNR) than Xe-arc or halogen lamps at blue wavelengths.24, 25 The 95 instrument was configured for moderately high resolution (1 cm-1) and boxcar apodization was 96 applied to the data. 97 98 Figure 2: Experimental setup. A Light Emitting Diode (LED, 1) is collimated through the 99 glyoxal-containing gas cell, and reflected by mirrors (2-4), a focusing lens (5) onto the FTS 100 aperture (6). 101 102 In addition to benefiting from higher photon flux, SNR is increased due to the smaller 103 spectral range emitted by the LED. The SNR with FTS is inversely proportional to the number of 104 points N in a spectrum, and benefits from examining narrower bandpasses according to: 105 SNR = (2/N)1/2*(B(λ)/Bmean)*SNRx 106 where B(ߣ) is the signal at the wavelength of interest and Bmean is the mean spectral signal. The 107 interferogram noise SNRx is constant for a given instrument optical setup. The LED was 108 temperature controlled to minimize baseline drift, which can be as low as 0.05% over 3 hours.25 109 For comparison, Xe-emission lines that are superimposed on the thermal emission spectrum of 110 Xe-arc light sources. These lines vary in shape and intensity with gas temperature and pressure. 111 The lamp intensity can drift by up to 5.4% below 30,000 cm-1 or 20% above 30,000 cm-1 in 3 112 hours, and is typically actively controlled.19, 26 Use of the LED was straightforward, but not free Equation (1) 5 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 113 114 Page 6 of 24 of drift either (see below). Prior to collecting glyoxal spectra, we took a one-hour reference spectrum of the gas cell 115 containing pure nitrogen at atmospheric pressure. Once reagents were added and the reaction 116 was initiated, we typically obtained glyoxal optical densities near 10% and were able to collect 117 spectra for approximately 5 hours. Each spectrum had a one hour integration time and after 118 collection was analyzed to determine whether glyoxal was still present. When the amount of 119 glyoxal had substantially diminished, the cell was pumped out and flushed with nitrogen. A 120 second one-hour reference was then collected. The attainable glyoxal SNR was optimized by 121 varying photolysis lamp filtration, reactant concentrations, and flow cell surface-area-to-volume 122 ratio. The optical density was most sensitive to chlorine concentration and was also affected by 123 acetylene concentration. Under the final protocol, glyoxal loss to the reactor walls was limiting 124 the attainable SNR in our setup. 125 Spectra containing significant glyoxal were averaged and converted to absorption spectra 126 using Beer’s Law: 127 I A = ln 0 I 128 where I0 is the average of the reference spectra, I is the spectrum to be analyzed, σ is the 129 wavelength-dependent absorption cross section in cm2 per molecule, c is the analyte 130 concentration in molecules per cm3, and l is the path length in cm. These absorption spectra were 131 converted from optical density units to a cross-section independent of pathlength or 132 concentration using: 133 = σ cl Equation (2) I ln 0 I σ= cl Equation (3) 6 ACS Paragon Plus Environment Page 7 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 134 Normalization to the integrated absorption cross section from Volkamer et al.19 provided the 135 absolute calibration, as is described in the next section. 136 137 138 Baseline drift correction The 12C and 13C glyoxal spectra were affected by baseline drift because the LED light 139 source was not perfectly stable. The averaged spectra were corrected for baseline drift following 140 the procedure described by Volkamer et al.19. First, the average 12C spectrum recorded here, and 141 the literature high-resolution cross-section spectrum19 were both convolved with a Gaussian line 142 function of 0.3 nm FWHM common resolution. Then the slant column density (SCD) (units 143 molecules cm-2) of glyoxal in the 12C spectrum was determined by ordinary least-squares fitting 144 using the literature spectrum as a cross-section. The original high-resolution 12C spectrum 145 (optical density units) was then divided by this SCD to convert to units of cm2/molecule, and this 146 cross-section spectrum was integrated over fixed 50 cm-1 intervals. Now the high-resolution 147 literature spectrum was convoluted to 1 cm-1 optical resolution to match the resolution of our 148 measurements. In the following, integral absorption cross-sections were calculated using the 149 same 50 cm-1 intervals for both measured and literature spectra, and the difference taken in 150 wavenumber space. A 5th-order polynomial was fit and used to interpolate the differences 151 between integral values to the wavenumber scale of the 1 cm-1 resolution spectrum using spline 152 interpolation, and the resulting polynomial was subtracted from the 12C spectrum to produce a 153 baseline corrected absorption cross-section spectrum. 154 A similar process was followed to correct the 13C glyoxal spectrum. After convoluting to 155 0.3 nm, second-order spectral stretching and shifting were used to account for isotopic 156 distortions to the locations of 13C absorption peaks compared to the Volkamer et al.19 spectrum. 7 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Page 8 of 24 157 Isotope shifts caused residual structures during spectral fitting, and those parts of the spectrum 158 with high residual structures were avoided during integration to perform the baseline correction; 159 the point-to-point integration was performed only over wavelength segments where no 160 significant glyoxal absorption was observed to determine the polynomial. A second-order 161 polynomial was fit through the regions of low absorption to force the integral correction to be 162 performed as similarly as possible to the 12C baseline correction described above. The corrected 163 1 cm-1 resolution spectra span a wavenumber range from 23250-21250 cm-1 (430-470 nm). 164 165 Simulation Chamber Experiments Simultaneous detection of 12C and 13C glyoxal was tested from absorption spectra 166 167 recorded at the simulation chamber located at the Paul Scherrer Institut in Villigen, 168 Switzerland.10 Glyoxal was produced under high NOx conditions via the following reactions: 169 R1: HONO + hν → OH + NO 170 R2: C2H2 + O2 + OH → CHOCHO + OH 171 Glyoxal is formed from acetylene (99% 13C acetylene, Aldrich, CAS 35121-31-4) with ~65% 172 yield, the remaining 35% forming CO and formic acid.27 173 The primary objective of these chamber experiments was to investigate SOA formation 174 from glyoxal that will be described elsewhere.28 Here, we use two individual spectra recorded at 175 PSI by the University of Colorado Light Emitting Diode Cavity Enhanced DOAS;25 one 176 spectrum each from an experiment that used 12C acetylene and 13C acetylene (to form 12C and 177 13 178 and NO2, as well as water vapor. The chamber had a 5 week history of exposure only to 12C 179 glyoxal (12C spectrum); the 13C glyoxal spectrum was recorded after two consecutive C glyoxal), respectively. At the time of recording, the chamber contained few ppbv of glyoxal 8 ACS Paragon Plus Environment Page 9 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 180 The Journal of Physical Chemistry experiments and cleaning cycles using 13C acetylene. 181 182 183 Sensitivity studies using synthetic and chamber spectra The 12C and 13C cross-section spectra show significant differences in the position of the 184 strong absorption feature near 455 nm. We performed sensitivity studies to evaluate the potential 185 of spectral cross-correlations between 12C and 13C spectra in a DOAS retrieval, using the two 186 spectra from chamber experiments and synthetic spectra with added noise that contain well- 187 known mixtures of 12C and 13C glyoxal (see Supplemental Information for analysis of synthetic 188 spectra). The conditions in the synthetic spectra resemble those of the chamber spectra with 189 respect to species and concentrations of absorbers (SI text), i.e., the spectral fits included cross 190 sections for O4,29 two NO2 cross sections (low and high concentration30), water,31 O3,32 12C 191 glyoxal,19 13C glyoxal (this work), and a 4th order polynomial. The 12C and 13C cross sections 192 were orthogonalized to minimize spectral cross-correlation using a routine for orthogonalization 193 that is internal to WinDOAS and based on the Gram-Schmidt orthogonalization algorithm.33, 34 194 The cross section of the isotope with the highest concentration was kept unchanged, i.e., the 13C 195 spectrum was orthogonalized to the 12C spectrum in the 12C experiment (and 12C was 196 orthogonalized in the 13C experiment) during spectral fitting. All cross sections were convolved 197 to the spectrometer slit function (0.55 nm FWHM), and fitted simultaneously in the spectral 198 window from 438-465 nm (‘standard’ glyoxal window). 199 We performed sensitivity studies to understand the stability of the glyoxal retrieval with 200 respect to variations of the fitted spectral window. These tests were conducted over a range of 201 wavelengths using a step-form algorithm in which the same spectrum was analyzed multiple 202 times.35 The upper and lower limits of the spectral range used for analysis were systematically 9 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Page 10 of 24 203 varied for all spectral fit intervals 438-465 nm using interval steps of 0.5 nm; the width of the fit 204 window thus varied between 2.5 and 27 nm. The results were calculated as a percent deviation 205 from the fit in our standard fit window, since the true concentration of glyoxal is initially not 206 known. However, this fit window is identical to that used to measure glyoxal during a detailed 207 instrument comparison exercise (nine instruments, two separate simulation chambers), where 208 CE-DOAS results obtained with a similar setup were found both precise and accurate.20 209 210 211 3. Results and Discussion The line positions of the rich rovibronic structure at visible wavelengths agree very well 212 between the two 12C spectra (Figure 3a, c, see also supplementary information), indicating that 213 the wavenumber calibration is well known (< 0.005 cm-1). A 13C shift is present near 455 nm 214 (3b), but none is visible at 440 nm (3d). The consistency in transferring the calibration between 215 the 12C and 13C cross section spectra was tested. Both spectra were convoluted to 0.3nm FWHM 216 optical resolution, and the 13C cross section was fit to the 12C spectrum allowing for a second- 217 order stretch and shift in wavelength. A fit factor of unity would indicate that the calibration 218 from the high-resolution 12C spectrum19 was indeed successfully transferred. The observed fit 219 factor was found to be 1.01 ± 0.04. Figure 3 compares the baseline corrected high-resolution 220 absorption spectra recorded in this study (1 cm-1 resolution) to the literature cross-section (0.06 221 cm-1 resolution). 222 Contamination of the 12C spectrum with 13C glyoxal is not significant at the SNR 223 explored here. Such glyoxal originates from acetylene that contains 13C in its natural 1.109% 224 abundance; further 13C glyoxal forms from disubstituted 13C acetylene with an abundance of 225 0.012% (1.109%2). For our spectra the optical density of the averaged 12C and 13C glyoxal 10 ACS Paragon Plus Environment Page 11 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 226 spectrum is smaller 10% (base e), and we expect the 13C glyoxal contribution to the 12C spectrum 227 to be ~2 orders of magnitude smaller than the noise level of our measurements. The absorption 228 of strong 12CHO13CHO lines would thus be near or below the noise level of our measurements. 229 Some of the stronger absorption lines of 12CHO13CHO are probably visible at the higher 230 resolution and SNR used to record the 12C literature spectrum.19 However, the absorption 231 spectrum of 12CHO13CHO is currently unmeasured to investigate this further. We consider our 232 12 233 glyoxal. 12CHO13CHO further does not present an error for the calibration of our 13C spectrum as 234 natural abundance of 13C glyoxal is accounted by the pressure measurement that underlies the 235 calibration of the literature spectrum.19 236 C spectrum to be free of any obvious absorption features of mono- and/or di-substituted 13C The isotopic shift is dictated by symmetry elements and the involvement of carbon in a 237 particular rovibronic effects. The observed isotopic shifts were not uniform throughout the 238 observed range (Table 1). The maximum shift is observed near 455 nm, and at 440 nm no shift is 239 discernible within measurement precision. This lends added importance to the decision about the 240 wavelength range selection for DOAS retrievals. Birss et al.17, 18 provide evidence for isotopic 241 shifts in glyoxal through their examination of bending and stretching modes in the visible range. 242 In combination with deuterated and 18O enriched forms of glyoxal, 13C glyoxal has been used to 243 determine the geometry of the glyoxal molecule.18 However, their work does not provide a 244 quantitative cross-section, which is required for calibration. The active stretch at 440 nm, the v8 245 H-wagging mode, undergoes a large shift in frequency from the ground state to the electronic 246 state (from 1048 cm-1 to 742 cm-1 for the 12C isotopomer). 11 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Page 12 of 24 247 248 Figure 3: a) Match between 12C glyoxal measured in this work and high-resolution measurement 249 of Volkamer et al.,19 including at 455 nm b) shifted absorption cross section of 13C glyoxal (red) 250 near 455nm c,d) No shift is apparent at 440 nm. 251 Table 1: Wavelength dependent isotope shifts of 12C and 13C absorption lines Line Position 12 C (nm) 436.386 440.267 444.903 453.018 455.145 C (cm-1) 22915.5 22713.5 22476.8 22074.2 21971.0 C (nm) 436.441 440.257 444.761 452.761 454.856 C (cm-1) 22912.6 22714.0 22484.0 22086.7 21985.0 ∆λ (nm) -0.055 0.010 0.142 0.257 0.289 ∆ν (cm-1) 2.9 -0.5 -7.2 -12.5 -14 12 13 13 Line Shift (12C-13C) 12 ACS Paragon Plus Environment Page 13 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 252 Because this mode is not infrared active as a result of its symmetry, the frequency of this 253 mode in the ground state for the 13C isotopomer is not known. However, we can infer from the 254 visible spectrum that the frequency in the ground state must be about 1006 cm-1. When combined 255 with the frequency of 729 cm-1 in the upper electronic state, this produces a smaller shift than in 256 12 C, hence the coincidence of the bands. 257 258 Spectral proof of fits from the chamber experiments are shown in Figure 4. Panel A has 259 fits for the 12C experiment (Exp 15) and panel B has fits from the 13C acetylene experiment (Exp 260 17). The top row shows the residual, or the leftover noise after the polynomial and all other 261 scaled cross sections have been subtracted. The RMS of the residual is compatible with photon 262 counting statistics here, indicating the lack of unaccounted absorption features. The second row 263 shows 12C glyoxal for Exp 15 and 12C orthogonalized to 13C for Exp 17, and the third row shows 264 13 265 much higher for 12C in Exp 15 than for 13C in Exp 17, showing that even at this moderately high 266 resolution18 (0.55 nm FWHM), we are able to successfully differentiate both isotopes. There is 267 likely a small amount of 12C contamination in this experiment, but not enough to be significant 268 outside of the 3σ range. The lowest row shows NO2 (the sum of the high concentration cross 269 section and low concentration cross section), and illustrates that two isotopes can be 270 differentiated well even in the presence of other trace gases that absorb at the same wavelength. 271 Interestingly, tests using synthetic spectra showed that the selectivity of the detection does not 272 suffer much, even at much lower resolution (SI text). The orthogonalized 13C cross section is 273 zero within 3σ fit error for Exp 15, when the chamber had not been exposed to 13C glyoxal in 274 prior experiments. Any chamber background is expected to be 12C glyoxal. Experiment 16 was a C glyoxal orthogonalized to 12C for Exp 15 and 13C glyoxal for Exp 17. The optical density is 13 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Page 14 of 24 275 13 276 16 are expected to be 13C glyoxal. The orthogonalized cross section in this experiment contains 277 information about the amount of 12C glyoxal, and again it is not different from zero within 3σ fit 278 error. C experiment, so glyoxal generated during Exp 17, and residual glyoxal carried over from Exp 279 280 Figure 4: Spectral proof of the selective detection of 12C and 13C glyoxal. Panel A: Exp 15 281 (12C experiment). Panel B: Exp 17 (13C glyoxal experiment). Dashed lines in orthogonal 282 spectra show cross section enlarged and offset to show detail. 283 284 Figure 5 shows sample wavelength-range sensitivity tests in which the upper and lower 285 bounds of the fitted region were varied systematically for the chamber spectra. The green area in 286 the graph indicates fit-windows that reproduce glyoxal results consistent with our standard fit 287 window. 14 ACS Paragon Plus Environment Page 15 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 288 289 Figure 5: Sensitivity tests using chamber spectra to assess the stability of typical DOAS 290 retrievals for a fit window with a given upper and lower limit. The percent difference from the fit 291 in the standard 438-465 nm window is shown for : A) 12C in the spectrum from the 12C 292 experiment, B) 13C orthogonalized to 12C in the 12C experiment, C) 12C orthogonalized to 13C in 293 the 13C experiment, and D) 13C in the 13C experiment. 294 295 The non-orthogonalized spectra (panels A and D) show stable fits over large regions, i.e., 296 fit windows that contain the weak glyoxal band at 440 nm, the strong glyoxal band at 455 nm, or 297 both. This is expected, as these are the regions with the largest differential cross sections. 298 Outside of these regions, the fit becomes unstable as it changes rather erratically from a higher 299 concentration than the standard fit to lower concentrations than the standard fit. The 15 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Page 16 of 24 300 orthogonalized cross sections (panels B and C) are non-zero in the vicinity of both the weak 301 bands and the strong bands. The greatest selectivity, however, is observed when the strong band 302 is included in the fit. Variation is minimized when the fit window extends beyond 455 nm. The 303 differential cross-section of the orthogonalized 13C cross-section near 455nm is 2.7×10-19 304 cm2/molec, compared to 5.3×10-19 cm2/molec of the 12C spectrum at 0.55 nm FWHM optical 305 resolution. This orthogonal cross-section suggests that online CE-DOAS measurements should 306 be able to distinguish both isotopes rather well. In practice, a slightly negative offset is observed 307 for 13C glyoxal during Exp 15, while no such offset was observed for 12C glyoxal during Exp 17 308 (Fig. 4). A CE-DOAS instrument with ~10 pptv detection limit for glyoxal, can thus selectively 309 measure 13C glyoxal with a detection limit of ~20 pptv; however, the accuracy of 13C glyoxal 310 measurements is conservatively estimated to be on the order of 200 pptv. 311 The analysis of mixtures of 12C and 13C glyoxal in the synthetic spectra with added noise 312 give accurate results within 3σ fit error when the strong and/or weak bands at 440 nm and ~455 313 nm are fitted simultaneously. A robust retrieval is observed over a wide range of optical 314 resolutions and noise conditions (SI text). Introducing different forms of noise (structured and 315 white noise) in the synthetic spectra does not significantly seem to affect the selectivity in the 12C 316 and 13C glyoxal detection. Including NO2 absorptions, which are located at similar wavelengths, 317 in the synthetic spectra caused only insignificant perturbations in the overall amount of glyoxal 318 and the individual amounts of 12C and 13C glyoxal that were detected. Including water vapor in 319 the synthetic spectra had no noticeable effect. 320 321 322 16 ACS Paragon Plus Environment Page 17 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 323 324 The Journal of Physical Chemistry 4. Conclusions Visible absorption spectra of 12C and 13C glyoxal were collected at moderately high 325 resolution. A significant isotope shift was detected at the 455 nm strong band, but not at 440nm, 326 suggesting that the two isotopes of glyoxal have sufficiently different spectra to facilitate 327 separation by means of in situ Cavity Enhanced DOAS. This was confirmed for two laboratory 328 spectra recorded at moderately high optical resolution from experiments using 12C and 13C 329 glyoxal, as well as numerous synthetic spectra which simulated mixtures of both compounds. 330 331 5. Acknowledgements 332 EMW, TKK, and RMV acknowledge funding from Eurochamp proposal E2-2013-04-10-0088 to 333 record the spectra at PSI. The authors thank the entire PSI team, especially Jay Slowik, Nivedita 334 Kumar, Felix Klein, Andre Prevot, and Urs Baltensperger for access to the PSI chamber facility. 335 336 6. Supporting Information Available 337 Supplemental information is provided on work done with synthetic spectra containing both 12C 338 and 13C glyoxal. This information details the creation of synthetic spectra with a range of 12C 339 and 13C concentrations. It includes sensitivity studies performed on the effect of optical 340 (instrumental) resolution, fit range, and deviation from known (input) concentration. This 341 material is available free of charge via the Internet at http://pubs.acs.org. 342 17 ACS Paragon Plus Environment The Journal of Physical Chemistry 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Page 18 of 24 343 344 For TOC only 345 346 347 348 349 350 351 352 353 354 355 356 18 ACS Paragon Plus Environment Page 19 of 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The Journal of Physical Chemistry 357 358 359 References 360 2063-2101. 361 2. 362 Yarwood, G., The mechanisms of atmospheric oxidation of the alkenes. Oxford Univ. Press: New 363 York, 2000; Vol. 5. 364 3. 365 G., The mechanisms of atmospheric oxidation of the aromatic hydrocarbons. 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