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Wavelength and Temperature-Dependent Apparent Quantum Yields for Photochemical Production of Carbonyl Compounds in the North Pacific Ocean Yuting Zhu, and David John Kieber Environ. Sci. Technol., Just Accepted Manuscript • DOI: 10.1021/acs.est.7b05462 • Publication Date (Web): 29 Dec 2017 Downloaded from http://pubs.acs.org on December 30, 2017
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Wavelength and Temperature-Dependent Apparent Quantum Yields for
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Photochemical Production of Carbonyl Compounds in the North Pacific Ocean
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Yuting Zhu and David J. Kieber*
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Department of Chemistry, State University of New York, College of Environmental
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Science and Forestry, 1 Forestry Drive, Syracuse, New York 13210
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*
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[email protected], Phone: 1-315-470-6951, Fax: 1-315-470-6856
Corresponding Author: 1 Forestry Drive, Syracuse, New York 13210, USA,
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ABSTRACT
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Photolysis of dissolved organic matter is the main source of carbonyl compounds in
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sunlit seawater, but rates and photoefficiences are poorly constrained. Wavelength- and
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temperature-dependent apparent quantum yields (AQY) were determined for
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photochemical production of acetaldehyde, glyoxal and methylglyoxal in North Pacific
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Ocean seawater. Wavelength-dependent AQY at 20 ˚C decreased exponentially with
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increasing wavelength between 290 and 380 nm, from 1.29 × 10-4 to 4.12 × 10-6, 2.52 ×
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10-5 to 6.89 × 10-7, and 3.56 × 10-6 to 1.02 × 10-7 mol (mol quanta)-1 for acetaldehyde,
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glyoxal, and methylglyoxal, respectively. AQY decreased after 6 h irradiation at 310 nm,
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possibly due to depletion of photochemical precursors or carbonyl photolysis. Activation
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energies (average±95% CI) for photochemical production at 320 nm were 9.31 (±9.3),
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26.0 (±7.5), and 34.7 (±12.8) kJ mol-1 for acetaldehyde, glyoxal and methylglyoxal,
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respectively. The peak response for photochemical production rates in surface seawater
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was ~325 nm, with ~30% contribution from UV-B and ~70% from UV-A. Computed
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wavelength-integrated photoproduction rates were 0.5–0.8, 0.04–0.2 and 0.02–0.05 nmol
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L-1 h-1 for acetaldehyde, glyoxal, and methylglyoxal under cloudless conditions in
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August. Results can be used to determine regional-scale photochemical production rates
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for these compounds in the surface ocean.
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INTRODUCTION Low-molecular-weight (LMW) carbonyl compounds are important gas-phase
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species in the atmosphere that affect the oxidizing capacity of the troposphere, serve as
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important radical precursors,1–4 and are potentially important global sources of secondary
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organic aerosol.5,6 It has been suggested that the oceans are an important source or sink
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for LMW carbonyl compounds including acetaldehyde, glyoxal and methylglyoxal,
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although large uncertainties persist.7–9
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For acetaldehyde, several field studies indicate that the oceans are a source to the
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lower atmosphere.10–13 The ocean’s estimated contribution11 of 17 Tg y-1 to the
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tropospheric acetaldehyde budget is low compared to that predicted from atmospheric
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observations or models (57–125 Tg y-1).7,8 Glyoxal is much more water soluble than
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acetaldehyde. Its mixing ratio is high (7–80 ppt) in the marine boundary layer (MBL) in
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the remote marine environment.9,14,15 Considering its short tropospheric lifetime (~3 h),5
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continental sources fail to account for glyoxal’s high mixing ratio; it has been suggested
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that there is a significant missing oceanic source of glyoxal in current atmospheric
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models,9,15,16 but measured glyoxal concentrations in the open ocean are too low (0.3–5.6
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nM).10,14,16 A nighttime direct outgassing of glyoxal from the surface microlayer was
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suggested, but this only explains a small percentage of the missing oceanic source.17,18 A
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similar paradox is seen for methylglyoxal. Atmospheric models indicate that only a small
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percentage of methylglyoxal in the MBL can be explained by in situ photochemical
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reactions;15 it has been suggested that there is likely an oceanic source.15 However,
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methylglyoxal concentrations in the MBL and surface seawater, 10–28 ppt14,15 and 0.1–
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3.4 nM,10,14,16 respectively, suggest the opposite, namely that there should be a net flux
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from the atmosphere to the sea.14
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Controversies regarding acetaldehyde, glyoxal, and methylglyoxal budgets in the
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MBL are hindered by a paucity of data regarding carbonyl compound cycling in
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seawater. Concentrations of LMW carbonyls vary temporally and spatially in surface
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seawater, and it has been proposed that photochemical production from dissolved organic
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matter (DOM) and biological removal are the two main processes affecting
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concentrations.19,20 Nevertheless, this view is supported by very few biological12,21–23 or
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photochemical studies.10,19,24,25 Biological sources,12,23,26 photochemical losses27 and
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atmospheric inputs8,28 are also possible, but have not been investigated in any detail.
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Although it is considered an important source, the photochemical production of
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carbonyl compounds in seawater is not well studied. There are a few reports of shipboard
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measured photoproduction rates of LMW carbonyls in Sargasso Sea seawater.10,24,29
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However, it would be premature to extrapolate these data regionally or globally, since
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photochemical efficiency (i.e., quantum yield) data were not provided. The
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photochemical efficiency of LMW carbonyl production has been reported for DOM-rich
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fresh and coastal water samples,24,25 but not in open ocean waters with low DOM
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concentrations that comprise approximately 90% of the world’s oceans and are of greater
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significance to large-scale modeling studies. The aim of the present study was to study
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fundamental properties of the photochemical production of carbonyl compounds in North
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Pacific waters that are characteristic of the open ocean. Time-, wavelength- and
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temperature-dependent apparent quantum yields (AQY) were determined for
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acetaldehyde, glyoxal and methylglyoxal photoproduction in seawater collected from
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several stations. Photochemical production rates were then calculated using the AQY
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dataset and available light and chromophoric dissolved organic matter (CDOM)
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absorbance data. Results are discussed with respect to carbonyl cycling in seawater.
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MATERIAL AND METHODS Chemicals and Reagents. Acetonitrile (ACN) and methanol were high
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performance liquid chromatography (HPLC) grade (JT. Baker, Central Valley, PA). High
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purity water (18.2 MΩ cm) was used in this study (hereafter referred to as Milli Q). This
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water was obtained from a Millipore Q-water system containing a 0.2 µm Organex
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attachment (Millipore, Billerica, MA). The 2,4-dinitrophenylhydrazine, DNPH (Sigma-
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Aldrich), was recrystallized twice from heated ACN and stored in the dark at room
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temperature. High purity carbon tetrachloride (CCl4) (Sigma-Aldrich) was used to purify
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DNPH prior to the derivatization reaction. Carbonyl compounds were obtained as the
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high purity standards` available from Sigma-Aldrich. All glassware used in this study
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was rinsed several times with methanol and Milli Q, and then baked for 8 h at 550 ˚C.
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The DNPH reagent used to derivatize carbonyl compounds was prepared following
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the procedure outlined in Kieber et al. (1990).30 Briefly, 27.0 ± 0.3 mg recrystallized
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DNPH was added to a solution containing 2.5 mL HPLC grade ACN, 5 mL 12 M reagent
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grade HCl (Baker), and 12.5 mL Milli Q water. This solution was mixed with 20 mL of
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CCl4 in a 40 mL Qorpak vial that was tightly sealed with a Teflon-lined silicone screw
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cap. The reagent was continually stirred to extract hydrazone contaminants into the
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carbon tetrachloride phase. The reagent was centrifuged at 800 rpm for 5 min just prior
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to use to separate the two phases.
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Sample Collection. Seawater samples were collected at a depth of 5 m at six
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stations in the North Pacific Ocean in August 2013 during the Deep Ocean Refractory
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Carbon expedition aboard the R/V Melville.31 Chemical properties of the 5 m seawater at
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the six stations are presented in Table 1. Samples were collected in Niskin bottles
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attached to a CTD rosette equipped with Sea-Bird Electronic SBE conductivity,
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temperature, oxygen, and pressure sensors. The URL for the cruise CTD dataset is
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http://www.bco-dmo.org/dataset/527102/data.
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Seawater was gravity filtered directly from the Niskin bottle through a 0.2-µm
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POLYCAP 75 AS Nylon filter (Whatman) into two 2 L Qorpak glass bottles previously
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rinsed by Milli Q water and muffled at 550 ˚C for 8 h. Each bottle was filled leaving 3–5
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mL headspace, sealed with a Teflon-lined silicone screw cap, and stored at 4 °C in the
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dark until use analysis in Syracuse, NY. POLYCAP filters were cleaned prior to use by
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alternating rinses of ACN and Milli Q water followed by extensive flushing with Milli
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Q.32
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Seawater Absorption Spectra. Seawater absorbance (A) spectra were determined
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from 240–800 nm using a SD 2000 fiber optic spectrometer (Ocean Optics, Inc.)
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containing a 1 m flow cell pre-cleaned with Milli Q and methanol. The cell was filled
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with seawater using a Rainin Rabbit-Plus peristaltic pump to gently pull the sample
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through the cell. An aqueous solution of 0.7 M NaCl was used as the reference; prior to
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its use, the NaCl solution in a quartz flask was irradiated for 8 h using a 300 W xenon
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lamp to remove UV-absorbing impurities. Wavelength-dependent absorption coefficients,
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aλ, were calculated from the absorbance, where aλ = 2.303A/l for a 1 m pathlength (l).
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Absorption spectra were determined for all samples before and after each irradiation.
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Apparent Quantum Yield Determination. A Milli Q sample or 0.2 µm-filtered
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seawater sample was pneumatically pushed through 1/8” O.D. Teflon tubing with ultra-
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high purity helium (99.999%) into a rectangular quartz cell (4 mL capacity, 1 cm
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pathlength, Spectrocell, Inc.) for at least 10 min at a flow rate of 2 mL min-1. The quartz
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cell was periodically inverted to remove residual air bubbles. The quartz cell was sealed
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with a screw cap containing a Teflon-lined silicone septum insert.
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Once the quartz cell was filled with a sample, it was placed into an enclosed
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temperature-controlled cell holder equipped with a stirrer. All irradiations were
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performed using a model LTIX-1002W-HS 1000 W xenon lamp (Royal Philips) along
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with a GM 252 monochromator (Spectral Energy, Corp.). A 10 nm bandwidth was used
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for irradiations 330 nm. Prior to an
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irradiation, samples were temperature equilibrated in the cell holder for 5 min. The
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incoming light was blocked for dark controls incubated in the cell holder for up to 36 h.
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Before irradiations were conducted to determine wavelength-dependent AQY, the
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time dependence for carbonyl production was determined in 0.2-µm filtered seawater
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from station (stn.) 5 and 27 at 310 ± 5 nm. Samples were irradiated for 3, 6, 9, 12 and 15
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h. We determined time-dependent AQYs at 310 nm and not at 320 nm (the ~peak-
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response wavelength -- see Predicted Wavelength-Dependent Photoproduction Rates
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section) because monochromatic irradiations are time consuming, especially for low-
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absorbing open-ocean seawater samples, and irradiating samples at 310 instead of 320
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nm reduced irradiation times in half. A time-series study was also not conducted for
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acetaldehyde, glyoxal or methylglyoxal at longer irradiation wavelengths (e.g., 380 nm)
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because carbonyl production rates were too low to observe significant differences at short
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irradiation times; a time-series study was not conducted for methylgyoxal at stn. 5 at any
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wavelength for the same reason.
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To quantify wavelength-dependent AQY, 0.2-µm filtered seawater collected from
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stn. 5 and 27 was irradiated for 4, 5, 6, 10, 14, 18, 24, and 36 h at 290, 300, 310, 320,
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330, 340, 360, and 380 nm, respectively. For stn. 3, 10, 15 and 18, irradiations were
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conducted at 300, 310, 320, 330 nm. Methylglyoxal photoproduction AQY results are
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only presented for stn. 15, 18, and 27; production rates and therefore AQY were below
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the detection limit for stn. 3, 5, and 10. Except when noted, the cell holder temperature
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was set at 20 ˚C for all irradiations.
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Wavelength-dependent AQY were calculated from: =
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(1)
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where is the AQY for the photochemical formation of acetaldehyde, glyoxal or
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methylglyoxal (mol (mol quanta)-1) at wavelength λ,
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photoproduction (mol L-1 min-1), V is the volume of irradiated 0.2-µm filtered seawater
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(L),
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the fraction of radiation absorbed by the 0.2-µm filtered seawater, & is the average
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absorption coefficient of CDOM (m-1) during the irradiation, and l is the pathlength of the
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quartz cell (m). All seawater samples were optically thin in the 1 cm quartz cell at all
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irradiated wavelengths.
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is the rate of carbonyl
is the light flux determined by nitrite actinometry (mol quanta min-1), 1 − # $% is
Chemical Actinometry. The light flux was determined in a 1 cm quartz cell using an optically-thin chemical actinometer based on nitrite photolysis and the reaction of 7 ACS Paragon Plus Environment
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photoproduced OH radical with benzoic acid to form salicylic acid (SA).33–35 The SA was
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quantified by flow injection analysis using fluorescence detection with excitation at 305 ±
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7.5 nm and emission at 410 ± 7.5 nm. The light flux was quantified from equation 2:
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=
),'(
'(
+, ./01 2 3
(2)
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where [SA] is the concentration of SA produced (mol L-1), 4 is the wavelength-
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dependent molar absorption coefficient of nitrite (cm2 mol-1), ,56 is the wavelength-
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dependent quantum yield for SA formation from nitrite photolysis (mol SA produced per
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mol quanta absorbed by nitrite),
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789 is the nitrite concentration in the actinometer solution (mol L-1).
is the light flux at wavelength λ (mol quanta s-1), and
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Carbonyl Quantification. The quantification method for carbonyl compounds was
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adapted from Kieber et al.30 Briefly, a 2.2 mL aliquot of the irradiated seawater sample or
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dark control was added to a 20 µL aliquot of the 2,4-dinitrophenylhydrazine (DNPH)
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reagent in a ~2.2 mL Qorpak vial that was capped tightly with no headspace. The lid of
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the cap contained a Teflon-lined silicone septum. All samples were reacted at room
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temperature for 24 h.
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Derivatized standards (Sigma-Aldrich), dark controls, and samples were analyzed
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using a Shimadzu Prominence high performance liquid chromatography (HPLC) system
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with a model SPD-20A/V UV-Vis absorbance detector set in dual wavelength mode at
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371 and 435 nm. The HPLC column consisted of a Waters 8×100 mm Nova-Pak
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cartridge with 4 µm C18 packing placed in a Waters RCM radial compression cartridge
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holder (Waters Associates, Milford, MA). The mobile phase consisted of solvent A (Milli
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Q) and solvent B (ACN). The elution program was isocratic at 30% B for 3 min, 30 to
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55% B in 5 min, isocratic at 55% B for 2 min, 55 to 90% B in 6 min, isocratic at 90% B 8 ACS Paragon Plus Environment
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for 5 min, 90% B to 30% B in 1 min, followed by column equilibration to the initial
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mobile phase composition for 15 min. All samples were injected using a 1.25 mL
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injection loop. The flow rate was 1.5 mL min-1 and the column oven temperature was 40
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˚C. The sample analysis time was 37 min.
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Activation Energy. The activation energy for the photochemical production of
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carbonyl compounds was determined at 320 (±5 nm) for acetaldehyde and glyoxal at stn.
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5 and 27; the activation energy for the photochemical production of methylglyoxal was
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determined at stn. 27 but not at stn. 5 due to analytical limitations. Temperature-
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dependent AQY were determined at 10, 15, 20, 28 and 36 ˚C. The temperature
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dependence was determined at 320 nm, corresponding to the approximate peak response
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wavelength in the predicted wavelength-dependent photoproduction rate spectra for
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acetaldehyde, glyoxal, and methylglyoxal (vide infra). The activation energy was
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calculated from linear regression analysis:
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:; = :;< −
(3)
=>
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where A is the pre-exponential factor, Ea is the activation energy (kJ mol-1), R is the
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universal gas constant (8.314×10-3 kJ mol-1 K-1), and T is the temperature (K).
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Statistical Analyses. All statistical analyses, including simple linear regressions,
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quasi-exponential fits, t-tests, and one-way ANOVA with a Tukey post-hoc test analyses,
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were performed using Sigmplot 11.0 with the SigmaStat software package. A one-way
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ANOVA with Tukey's post-hoc test was used for pairwise comparisons to evaluate
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differences in the fit parameters m1 and m2 (Eq. 4) among the six stations. An α level of
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0.05 was used for all tests.
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RESULTS AND DISCUSSION Hydrographic station locations are shown in Figure S1, overlain with satellite-
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derived CDOM absorption coefficient data at 320 nm calculated from the SeaCDOM
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algorithm36 using seven-year averaged Aqua ocean color reflectance data for August
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2010–2016 obtained from the Moderate-Resolution Imaging Spectroradiometer
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(MODIS); reflectance data were downloaded from the NASA ocean color website
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(https://oceancolor.gsfc.nasa.gov/). Representative CDOM spectra for all stations are
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shown in Figure S2, and additional information regarding CDOM spectral slopes is
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provided in Table S1.
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Acetaldehyde and glyoxal were the main LMW carbonyl photoproducts observed in
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all irradiated North Pacific Ocean seawater samples. Formaldehyde was not quantified
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due to contamination. Acetone and propanal concentrations were above detection limits,
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but irradiated seawater samples did not show significant differences compared to dark
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controls. Photochemical production of methylglyoxal was only observed at the stations
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with the highest CDOM absorption coefficients (15, 18 and 27).
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All AQY were calculated accounting for CDOM losses that may have occurred
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during an irradiation. CDOM losses were observed during irradiations at wavelengths
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less than 360 nm, with losses ranging from 2 to 11% depending on the irradiation
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wavelength, sample type and photon exposure. To illustrate a typical change in
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absorbance during an irradiation, the & in a sample from stn. 27 irradiated for 10 h at
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320 ± 5 nm was compared to & in unirradiated stn. 27 seawater and the dark control
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(Figure S3).
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Time-Dependent AQY. It has been shown that the photochemical production of
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several compounds in seawater (e.g., CO, CO2) are not a linear function of the photon
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exposure.37,38 This nonlinearity results in time-dependent changes in AQY, and therefore
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caution should be taken when comparing results from different studies. In the present
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study, AQY for acetaldehyde and glyoxal photoproduction in seawater from stn. 5 and 27
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were a linear function of the integrated photon flux at 310 nm during the first 6 h.
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However, nonlinearity was observed at longer irradiation times (Figure S4) because
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carbonyl photoproduction rates decreased faster than a310. This resulted in a decrease in
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the AQY at 310 nm (Figure 1), which differed between the two stations, particularly with
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respect to acetaldehyde. For stn. 5, AQY decreased 41 and 41% for acetaldehyde and
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glyoxal, respectively, whereas for stn. 27 time-dependent AQY decreased less, 22 and
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35%, respectively, after 15 h irradiation compared to the average AQY obtained after 3 h
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of irradiation. In all cases, t-tests showed that for both acetaldehyde and methylglyoxal
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AQY at 15 h were significantly lower than AQY determined within the first 6 h of
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irradiation (p0.05)
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due to a greater analytical uncertainty.
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Time dependent decreases in AQY were due to a depletion of photochemical
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precursors and/or possibly increased rates of carbonyl photolysis, neither of which was
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quantified. Regarding carbonyl photolysis, it was previously shown27 that formaldehyde,
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acetaldehyde, and propanal were photochemically stable in pure water, and therefore
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primary photolysis is not expected to affect photoproduction AQY for these compounds
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in seawater. Unfortunately, no data are available regarding potential secondary
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photosensitized losses of carbonyl compounds. The estimated half-life of acetaldehyde in
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coastal seawater is 1400 d with respect to its reaction with the hydroxyl radical,27,39
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suggesting that reactions involving photochemically-generated reactive oxygen species in
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seawater may not be important. However, there is no direct evidence for acetaldehyde,
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glyoxal or methylglyoxal photochemical stability in seawater. Since carbonyl photolysis
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rates were not determined in this study (or any other published seawater study), it is not
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known if carbonyl photolysis affected AQY, and as such, AQY values reported here
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should be considered lower estimates for carbonyl photoproduction.
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To provide context for field results, the 1000 W light source used in this study is
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~one order of magnitude more intense than solar noon sunlight in August at the surface
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seawater in the Northwest Pacific Ocean on a cloudless day (e.g., for a 1 h irradiation at
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305–315 nm, the photon exposure with the lamp is 0.0903 vs 0.0113 mol quanta m-2 from
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the sun). Therefore, although not directly comparable, carbonyl photoproduction AQY
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are expected to decrease slowly in North Pacific seawater when exposed to solar
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irradiation (e.g., no observable changes in AQY or rates are expected during one day of
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exposure of surface seawater to solar irradiation in August).
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Zhang et al. (2006)40 suggested that direct photodecarbonylation of simple carbonyl
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compounds are a potential source of CO in the marine environment. However, simple,
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LMW carbonyl compounds are photochemically stable in high purity laboratory water;27
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and only methylglyoxal showed a significant decrease in AQY with extended photon
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exposure, but it’s concentrations (0.1–3.4 nM) and photoproduction rates (vide infra) are
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quite low in surface seawaters. Therefore, this pathway is likely to be at best only a minor
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contributor to the CO photochemical production rate in the oceans.
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Temperature-Dependent AQY. The dependence of AQY on the reaction
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temperature for acetaldehyde and glyoxal was investigated at 320 nm with seawater from
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stn. 5 and 27; the AQY temperature dependence for methylglyoxal photoproduction was
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only determined at stn. 27. Photoproduction AQY for acetaldehyde at stn. 5 were
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relatively insensitive to temperature (Figure 2), with the slope of the Arrhenius plot not
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significantly different from zero (p>0.05, Table 2), indicating no temperature dependence
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within experimental uncertainty. For stn. 27, AQY for acetaldehyde exhibited a very
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slight temperature dependence (p=0.029), with an activation energy (Ea ± 95% CI, 13.2 ±
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11.5 kJ mol-1) comparable to that for a molecular-diffusion controlled reaction in aqueous
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solution (~10 kJ mol-1).41 Together these results suggest that the photochemical
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production of acetaldehyde in North Pacific seawater mainly occurred through a non-
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thermal reaction involving a primary photolysis or diffusion-controlled free radical
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reaction.42
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Temperature-dependent AQY for glyoxal and methylglyoxal exhibited linear
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Arrhenius behavior (Figure 2). AQY increased significantly with temperature, by a
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factor of 1.5 and 1.7 per 10 ˚C, with an Ea of 26 and 35 kJ mol-1 for glyoxal and
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methylglyoxal, respectively. These activation energies are ~50 % to more than double
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that observed for CO photoproduction in seawater (12.2 kJ mol-1)40, nitrate (~20 kJ mol-
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1 43,44
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hydroxyl radical with benzoic acid to form SA at circumneutral pH (~12–18 kJ mol-1),33
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or aqueous reactions between the OH radical and chloramines (6–9 kJ mol-1)46 or natural-
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water organic matter isolates (14–15 kJ mol-1).47
)
or nitrite (~14 kJ mol-1)43,45 photolysis in aqueous solution, the reaction of the
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Although significantly higher than many natural water photoreactions reported in
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the literature, the relatively high Ea for glyoxal and methylglyoxal photoproduction are
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not unique; similar or even higher Ea values have been observed for other known
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photosensitized secondary photochemical processes in seawater, including
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dimethylsulfide (DMS) photolysis32 and photoproduction of hydrogen peroxide.37 Toole
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et al. (2003)32 observed AQY for DMS photolysis in the Sargasso Sea doubled with a
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temperature increase of 20 ˚C, with an Ea of 23–25 kJ mol-1. Kieber et al. (2014)37 also
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found a strong temperature dependence for H2O2 photoproduction in seawater from
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several sources (average ~22 kJ mol-1), which was suggested to result from the thermal
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disproportion of superoxide as the rate limiting step.
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These results suggest that glyoxal and methylglyoxal photoproduction rates are not
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controlled by primary photolysis or radical reactions involving highly reactive species
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such as the OH radical, but rather they are regulated by photosensitized or thermal
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reactions with significant energy barriers.
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Wavelength-Dependent AQY. Wavelength-dependent AQY for acetaldehyde,
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glyoxal, and methylglyoxal photoproduction from 290–380 nm (stn. 5, 27) and from
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300–330 nm (stn. 3, 10, 15, 18) are presented in Figure 3. Only stn. 15, 18 and 27 data
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are presented for methylglyoxal, since they were the only stations that showed
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measurable photochemical production of methylglyoxal under the irradiation conditions
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used in this study.
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Wavelength-dependent AQY for acetaldehyde, glyoxal and methylglyoxal
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decreased exponentially with increasing wavelength. Acetaldehyde photoproduction
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AQY ranged from 1.29 x 10-4 at 290 nm to 4.12 x 10-6 mol (mol quanta)-1 at 380 nm,
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which were approximately one to two orders of magnitude greater than for glyoxal (2.52
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× 10-5 to 6.89 × 10-7 mol (mol quanta)-1) and methylglyoxal (3.56 × 10-6 to 1.02 × 10-7
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mol (mol quanta)-1), respectively.
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Wavelength-dependent AQY data were fit to a single exponential decay function:
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= # (@A B@1 (9C,))
(4)
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m1 and m2 were obtained from linear regression analysis of -lnΦλ = m1+ m2(λ-290),
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where m1 is the y-intercept at 290 nm and m2 is the spectral slope. Fitting parameters are
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presented in Table 3 for m1 and m2; fitted lines for wavelength-dependent AQY are shown
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in Figure 3. All regressions were significant for all compounds and stations with p380 nm.40,49,57 When leveling off was
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previously observed, AQY data were fit to a quasi-exponential fit40 or two exponential
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functions.49 In the present study, these fits did not improve or only marginally improved
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AQY spectral fits for carbonyl photoproduction (e.g.,