# NO3 chemistry of wildfire emissions: a kinetic study of the gas-phase reactions of furans with the NO3 radical

Mike Newland, Yangang Ren, Max Mcgillen, Lisa Michelat, Véronique Daële, Abdelwahid S Mellouki

► To cite this version:

Mike Newland, Yangang Ren, Max Mcgillen, Lisa Michelat, Véronique Daële, et al.. NO3 chemistry of wildfire emissions: a kinetic study of the gas-phase reactions of furans with the NO3 radical. Atmospheric Chemistry and Physics, 2022, 22 (3), pp.1761-1772. 10.5194/acp-22-1761-2022. hal-03577807

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# NO₃ chemistry of wildfire emissions: a kinetic study of the gas-phase reactions of furans with the NO₃ radical

Mike J. Newland¹, Yangang Ren¹,ª,ᵇ,Max R. McGillen¹, Lisa Michelat¹, Véronique Daële¹, and Abdelwahid Mellouki¹

¹ICARE-CNRS, 1C, avenue de la Recherche Scientifique, 45071 Orléans CEDEX 2, France

ªnow at: Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, China

ᵇnow at: University of Chinese Academy of Sciences, Beijing 100049, China

**Correspondence:** Mike J. Newland (mike.newland@cnrs-orleans.fr) and Abdelwahid Mellouki (mellouki@cnrs-orleans.fr)

Received: 31 August 2021 – Discussion started: 2 September 2021

Revised: 15 December 2021 – Accepted: 22 December 2021 – Published: 4 February 2022

**Abstract.** Furans are emitted to the atmosphere during biomass burning from the pyrolysis of cellulose. They are one of the major contributing volatile organic compound (VOC) classes to OH and NO₃ reactivity in biomass burning plumes. The major removal process of furans from the atmosphere at night is reaction with the nitrate radical, NO₃. Here, we report a series of relative rate experiments in the 7300 L indoor simulation chamber at Institut de Combustion Aérothermique Réactivité et Environnement, Centre national de la recherche scientifique (ICARE-CNRS), Orléans, using a number of different reference compounds to determine NO₃ reaction rate coefficients for four furans, two furanones, and pyrrole. In the case of the two furanones, this is the first time that NO₃ rate coefficients have been reported. The recommended values (cm³ molec.⁻¹ s⁻¹) are as follows: furan, (1.49 ± 0.23) × 10⁻¹²; 2-methylfuran, (2.26 ± 0.52) × 10⁻¹¹; 2,5-dimethylfuran, (1.02 ± 0.31) × 10⁻¹⁰; furfural (furan-2-aldehyde), (9.07 ± 2.3) × 10⁻¹⁴; α-angelicalactone (5-methyl-2(3H)-furanone), (3.01 ± 0.45) × 10⁻¹²; γ-crotonolactone (2(5H)-furanone), <1.4 × 10⁻¹⁶; and pyrrole, (6.94 ± 1.9) × 10⁻¹¹. The furfural + NO₃ reaction rate coefficient is found to be an order of magnitude smaller than previously reported. These experiments show that for furan, alkyl-substituted furans, α-angelicalactone, and pyrrole, reaction with NO₃ will be the dominant removal process at night and may also contribute during the day. For γ-crotonolactone, reaction with NO₃ is not an important atmospheric sink.

## 1 Introduction

Furans are five-membered aromatic cyclic ethers. Furans (and pyrroles – where N replaces O as the heteroatom) are generated during the pyrolysis of cellulose and are a major component of emissions from wildfire burning (Hatch et al., 2015, 2017; Koss et al., 2018; Coggon et al., 2019; Andreae, 2019). Such emissions are likely to increase in the future, with the spatial extent, number, and severity of wildfires having increased markedly at the global scale in recent decades (Jolly et al., 2015; Harvey, 2016); this is predicted to continue as the climate warms (Krikken et al., 2021; Lohmander,

2020). Furans have also been measured in emissions from residential logwood burning (Hartikainen et al., 2018) and from the burning of a wide variety of solid fuels used for domestic heating and cooking (Stewart et al., 2021a). Furans have been shown to account for a significant proportion of the total NO₃ (Decker et al., 2019) and OH (Koss et al., 2018; Coggon et al., 2019; Stewart et al., 2021b) reactivity of emissions from the burning of typical wildfire and domestic fuels.

Alkyl-substituted furans have also been suggested as promising biofuels, as they can be derived from lignocellulosic biomass (Roman-Leshkov et al., 2007; Binder and Raines, 2009; Wang et al., 2014). This would likely lead to
fugitive emissions of these compounds during distribution as well as to emissions of unburned and partially oxidised products from vehicle exhaust. The oxidation of certain furan compounds has been shown to have large secondary organic aerosol yields (Hatch et al., 2017; Hartikainen et al., 2018; Joo et al., 2019; Ahern et al., 2019; Akherati et al., 2020), which could adversely impact air quality.

Oxidation of furans in the atmosphere has been shown to produce 2-furanones (monounsaturated five-membered cyclic esters) both via OH (notably hydroxy-furan-2-ones; Aschmann et al., 2014) and NO₃ (Berndt et al., 1997) reactions. Furan-2-ones are also produced from the OH oxidation of six-membered aromatic compounds (Smith et al., 1998, 1999; Hamilton et al., 2005; Bloss et al., 2005; Wyche et al., 2009; Huang et al., 2014). In both cases, the initial product is thought to be an unsaturated dicarbonyl, with production of the 2-furanone formed via photoisomerisation of the dicarbonyl to a ketene-enol (Newland et al., 2019), followed by ring closure of this molecule. In the case of aromatics, the ketene-enol can also be formed directly via decomposition of the bicyclic peroxy radical intermediate (Wang et al., 2020).

Furan-type compounds are removed from the atmosphere by reaction with the major oxidants OH, NO₃, and O₃. There have been a number of studies on the rates of reaction of furan-type compounds with the dominant daytime oxidant, OH (Lee and Tang, 1982; Atkinson et al., 1983; Wine and Thompson, 1984; Bierbach et al., 1992, 1994, 1995; Aschmann et al., 2011; Ausmeel et al., 2017; Whelan et al., 2020). However, there have been fewer studies on the rates of reaction of furan-type compounds with the major nighttime oxidant, NO₃ (Atkinson et al., 1985; Kind et al., 1996; Cabañas et al., 2004; Colmenar et al., 2012).

The nitrate radical, NO₃, is produced in the atmosphere, predominantly through the reaction of NO₂ with O₃, and exists in equilibrium with N₂O₅. It has long been known to be an important night-time oxidant (Levy, 1972; Winer et al., 1984). While it is also produced during the daytime, it is rapidly converted back to NO₂ by reaction with NO and by photolysis. However, in environments with low NO, either due to low NOₓ emissions or suppression through high O₃ concentrations (e.g. Newland et al., 2021), NO₃ oxidation has been observed to be significant during the day (Hamilton et al., 2021).

Here, we present results of a series of relative rate experiments for furan, 2-methylfuran, 2,5-dimethylfuran, furfural (furan-2-aldehyde), α-angelicalactone (5-methyl-2(3H)-furanone), γ-crotonolactone (2(5H)-furanone), and pyrrole reaction with the NO₃ radical, performed in the 7300 L indoor simulation chamber at Institut de Combus- tion Aérothermique Réactivité et Environnement, Centre na- tional de la recherche scientifique (ICARE-CNRS), Orléans, France.

# 2 Experimental

## 2.1 The CSA chamber

The ICARE-CNRS indoor chamber is a 7300 L indoor simulation chamber used for studying reaction kinetics and mechanisms under atmospheric boundary layer conditions. Further details of the chamber set-up and instrumentation are available elsewhere (Zhou et al., 2017). Experiments were performed in the dark at atmospheric pressure (ca. 1000 mbar), with the chamber operated at a slight overpressure to compensate for removal of air for sampling and to prevent ingress of outside air to the chamber. The chamber is in a climate-controlled room, and the temperature was maintained at 299 ± 2 K.

## 2.2 Experimental approach

Starting with the chamber filled with clean air, the volatile organic compounds (VOCs) of interest (ca. 3 ppmv) were added, followed by ~1 Torr of the inert gas SF₆ to monitor the chamber dilution rate. A flow of 5 L min⁻¹ of purified air was continuously added throughout the experiment, and air was then removed from the chamber to maintain a constant pressure (this is a slight overpressure to prevent possible ingress of air from outside the chamber). The chamber was left for at least 30 min prior to the start of the experiment to monitor the dilution rate and losses of the VOCs to the chamber walls. These losses, (1–8) × 10⁻⁶ s⁻¹, were always smaller than dilution (~1.2 × 10⁻⁵ s⁻¹). The reaction was then initiated by continuously introducing an N₂O₅ sample, held in a trap at ~235 K with a part of the purified air flow (2.5–5) L min⁻¹ directed through it, for the duration of the experiment. The chamber was monitored until most of the VOC of interest was consumed, with experiments generally taking 0.5–2 h. The experiments were performed under dry conditions (RH ≤ 1.5%).

VOC abundance was determined by in situ Fourier transform infrared (FTIR) spectroscopy using a Nicolet 5700 coupled to a White-type multipass cell with a pathlength of 143 m. Each scan was comprised of either 30 or 60 coadditions, taking a total of 2 or 4 min respectively, depending on the expected rate of loss of the VOCs, with a spectral resolution of 0.25 cm⁻¹.

## 2.3 Materials

The VOCs of interest – furan (>99%, Sigma-Aldrich), 2-methylfuran (>98%, TCI), 2,5-dimethylfuran (>98%, TCI), pyrrole (>99%, TCI), α-angelicalactone (>98%, TCI), furfural (>98%, TCI), and γ-crotonolactone (>93%, TCI) – and the reference compounds – 2,3-dimethyl-but-2ene (98%, Sigma-Aldrich), 2-carene (97%, Sigma-Aldrich), camphene (95%, Sigma-Aldrich), α-pinene (98%, Sigma-Aldrich), cyclohexene (≥99%, Sigma-Aldrich), 3-methyl-3-buten-1-ol (97%, Sigma-Aldrich), and cyclohexane (99.5%,
Sigma-Aldrich) – were used as supplied without further purification.

N₂O₅ was synthesised by reacting NO₂ with excess O₃. First, NO and O₃ were mixed to generate NO₂ (Reaction R1). This NO₂/O₃ mixture was then flushed into a bulb in which NO₃ and subsequently N₂O₅ were generated through Reactions (R2)–(R3).

$$NO + O_3 \rightarrow NO_2 \quad (R1)$$

$$NO_2 + O_3 \rightarrow NO_3 \quad (R2)$$

$$NO_2 + NO_3 \rightarrow N_2O_5 \quad (R3)$$

N₂O₅ crystals were then collected in a cold trap at 190 K. The N₂O₅ sample was purified by trap-to-trap distillation under a flow of O₂/O₃. The final sample was stored at 190 K and used within a week.

## 2.4 Analysis

VOC concentrations were monitored by FTIR. The furans generally have a number of major absorption bands in the infrared. The main bands used for analysis are shown in Table 1 (bold) along with other characteristic bands for each compound. Reference spectra of the major bands for each compound taken in the chamber at a resolution of 0.25 cm⁻¹ are provided in the Supplement (Figs. S8–S14). The ANIR curve-fitting software (Ródenas, 2018), which implements a least squares fitting algorithm, was used to generate time profiles for each compound based on their reference spectra. Profiles were checked by doing a number of manual subtractions. Example time profiles from an experiment with α-angelicalactone and furan, with cyclohexene as the reference compound, are shown in Fig. 1. Further example plots are provided in the Supplement (Figs. S1–S7). All of the concentration-time profiles are provided in .txt format at https://doi.org/10.5281/zenodo.5721518, and all of the raw FTIR output is provided in .csv format at https://doi.org/10.5281/zenodo.5721518. Relative rate plots for all of the experiments are shown in Fig. 2.

Relative rate experiments were performed, whereby a compound (or two) with an unknown reaction rate coefficient (kVOC) with NO₃ was added to the chamber with a reference compound with a known NO₃ reaction rate coefficient (kref). A plot of the relative loss of the compound against the reference compound following addition of NO₃ (via N₂O₅ decomposition), accounting for both chamber dilution and wall losses (kₐ), gives a gradient of kVOC/kref (Eq. 1).

$$\ln \frac{([VOC]_0)}{([VOC]_t)} - k_d t = \frac{k_{VOC}}{k_{ref}} \ln \frac{[ref]_0}{[ref]_t} - k_d t \quad (1)$$

A number of reference compounds were used for each VOC; they were chosen so that the reference rate coefficient was roughly within a factor of 5 of the expected unknown rate coefficient, and an attempt was made to use different references that had both larger and smaller NO₃ reaction rate

coefficients than the VOC. Rate coefficients of the reference compounds (Table 2) are taken from the Database for the Kinetics of the Gas-Phase Atmospheric Reactions of Organic Compounds v2.1.0 (McGillen et al., 2020), available at https://data.eurochamp.org/data-access/kin/#/home (last access: 27 January 2022).

N₂O₅ was not present at detectable levels (by FTIR) during most of the experiments. The only experiments in which N₂O₅ concentrations built up in the chamber were those with the slowest reacting VOCs (i.e. furfural and γ-crotonolactone). NO₂ concentrations increased throughout all experiments, typically up to 2–3 ppmv. NO₂ is initially produced from the decomposition of N₂O₅ and, later, potentially by the loss of NO₂ from nitrated VOCs/nitrated radicals. HNO₃ concentrations increased throughout the experiments, typically up to 3–4 ppmv. This could be caused by either impurities in the N₂O₅ sample or H-abstraction reactions of NO₃. It is not thought that this level of HNO₃ will cause any interference in the rate coefficient determinations.

It is noted that no OH scavenger was used in these experiments (as is the case for most, if not all, previous NO₃ relative rate studies to the authors' knowledge). NO₃ reaction with alkenes tends to proceed by electrophilic addition to the double bond followed by addition of O₂ to the resulting radical, leading to a nitrooxy peroxy radical (β-ONO₂-RO₂) (Barnes et al., 1989; Hjorth et al., 1990). It has recently been shown (Novelli et al., 2021) that there is the possibility of OH formation through the reactions of β-ONO₂-RO₂ with HO₂. HO₂ could be generated in these experiments from the abstraction of an H atom by O₂ from a β-ONO₂-RO₂ radical with available H atoms. The initial NO₃ reaction with furans is not thought to form β-ONO₂-RO₂ radicals, with NO₃ addition to the C₂ carbon followed by O₂ addition to the C₅ carbon (Berndt et al., 1997), analogous to the OH-addition reaction (Bierbach et al., 1995; Mousavipour et al., 2009; Yuan et al., 2017; Whelan et al., 2020). However, some of the reference compounds used in the experiments will form such radicals. For example, the reaction of HO₂ with the β-ONO₂-RO₂ radicals formed from α-pinene + NO₃ has been reported to have an OH yield of up to 70% (Kurtén et al., 2017). An additional minor source of HO₂ during the experiments will be H-abstraction reactions by NO₃. These will produce RO₂ that can react to form RO radicals which may yield HO₂ following abstraction of an H atom by O₂. However, the rate coefficient of H abstraction by NO₃ is generally expected to be negligible relative to that of the NO₃-addition pathway. A box model run was performed to test the impact of this chemistry in this study. The α-pinene scheme from the Master Chemical Mechanism version v3.3.1 (MCMv3.3.1; Jenkin et al., 1997; http://mcm.york.ac.uk, last access: 27 January 2022) was incorporated into the AtChem box model (Sommariva et al., 2020), and an OH yield of 0.5 was assigned to the reaction of HO₂ with the initial β-ONO₂-RO₂ radicals formed from the α-pinene + NO₃ reaction. The model was initiated with
<table><caption>**Table 1.** Maxima of major absorption bands (of Q branches, if present) for the compounds used in this study. Bands used predominantly for analysis are shown in bold.</caption><thead><tr><th>Compound</th><th>Main absorption bands (cm<sup>-1</sup>)</th></tr></thead><tbody><tr><td>furan</td><td><b>995</b>, 744</td></tr><tr><td>2-methylfuran</td><td><b>792</b>, 726, 1151, 2965</td></tr><tr><td>2,5-dimethylfuran</td><td><b>777</b>, 2938, 2961</td></tr><tr><td>furfural</td><td><b>756</b>, 1720</td></tr><tr><td>pyrrole</td><td><b>724</b>, 1017, 3531, 718–722</td></tr><tr><td>α-angelicalactone</td><td><b>731</b>, <b>939</b>, 1100, 1834</td></tr><tr><td>γ-crotonolactone</td><td><b>1098</b>, 805, 866, 1045, 1812, 2885, 2945</td></tr><tr><td>2,3-dimethyl-2-butene</td><td><b>2878</b>, <b>2930</b>, <b>3005</b></td></tr><tr><td>2-carene</td><td><b>2874</b>, <b>2928</b>, <b>3009</b></td></tr><tr><td>α-pinene</td><td><b>2971</b>, <b>2998</b>, <b>3035</b>, 789, 2847, 2893, 2925, 2931</td></tr><tr><td>camphene</td><td><b>2967</b>, <b>2972</b>, <b>2986</b>, 882, 2881, 3075</td></tr><tr><td>cyclohexene</td><td><b>2934</b>, 744, 919, 1140, 2892, 2943, 3033, 3036</td></tr><tr><td>3-methyl-3-buten-1-ol</td><td><b>1065</b>, 896, 903, 2886, 2948, 2981, 3084</td></tr><tr><td>cyclohexane</td><td><b>2862</b>, <b>2933</b></td></tr></tbody></table>

<figure><img src="image_4.png" /><figcaption>**Figure 1.** Concentration–time profiles from experiment with cyclohexene, α-angelicalactone, and furan. Black circles are response factors generated by the ANIR curve-fitting program relative to the reference spectra. Red diamonds are obtained from manual subtractions. The left black dashed vertical line is the beginning of the region used for the relative rate calculation, the red dashed line is the end of the region used for the calculation of the α-angelicalactone relative rate, and the blue line is the end of the region used for the calculation of the furan relative rate. Bold values at the bottom are the absorption bands used for analysis.</figcaption></figure>

<table><caption>**Table 2.** Reference compounds used. Recommended rate coefficients and uncertainties from McGillen et al. (2020).</caption><thead><tr><th>Compound</th><th>k (cm<sup>3</sup> molec.<sup>-1</sup> s<sup>-1</sup>)</th></tr></thead><tbody><tr><td>2,3-dimethyl-2-butene</td><td>(5.70 ± 1.71) × 10<sup>-11</sup></td></tr><tr><td>2-carene</td><td>(2.0 ± 0.3) × 10<sup>-11</sup></td></tr><tr><td>α-pinene</td><td>(6.20 ± 1.55) × 10<sup>-12</sup></td></tr><tr><td>camphene</td><td>(6.60 ± 1.65) × 10<sup>-13</sup></td></tr><tr><td>cyclohexene</td><td>(5.60 ± 0.84) × 10<sup>-13</sup></td></tr><tr><td>3-methyl-3-buten-1-ol</td><td>(2.60 ± 0.78) × 10<sup>-13</sup></td></tr><tr><td>cyclohexane</td><td>(1.35 ± 0.20) × 10<sup>-16</sup></td></tr></tbody></table>

2-methylfuran and α-pinene concentrations of 3 ppmv, representative of the experiments performed here. NO₃ concentrations were constrained to give a lifetime of ~1 h for the VOCs, typical of the experiments. OH reaction was found to account for less than 1% of the removal of 2-methylfuran or α-pinene through the model run. Consequently, it can be assumed that OH chemistry is a negligible interference in these experiments.

A further potential interference with the current experimental set-up is the reaction of NO₂ with the compounds used. Rate coefficients have been measured for reaction of NO₂ with a number of unsaturated compounds (Atkinson et al., 1984b; Bernard et al., 2013). For conjugated dienes, these values can be large enough (~10⁻¹⁸ cm³ molec.⁻¹ s⁻¹) to provide a significant loss under the experimental conditions employed here; NO₂ is formed during these experiments
<figure><img src="image_5.png" /><figcaption>**Figure 2.** Relative rate plots for (a) furan relative to cyclohexene (red), camphene (blue), and α-pinene (pink); (b) 2-methylfuran relative to 2-carene (blue), 2,3-dimethyl-2-butene (red), and α-pinene (pink); (c) 2,5-dimethylfuran relative to 2-carene (blue), 2,3-dimethyl-2-butene (red), 2-methylfuran (black), and pyrrole (green); (d) furfural relative to camphene (blue), cyclohexene (red), furan (black), and 3-methyl-3-buten-1-ol (pink); (e) pyrrole relative to 2-carene (blue), 2,3-dimethyl-2-butene (red), 2-methylfuran (black), and 2,5-dimethylfuran (green); and (f) α-angelicalactone relative to cyclohexene (red), furan (black), and α-pinene (pink). Different shapes are used for different experiments with the same reference compound.</figcaption></figure>

from the decomposition of N₂O₅, with the NO₂ mixing ratio typically increasing up to roughly 3 ppmv through the experiment. Separate experiments were performed to look at the potential reaction of NO₂ with furan, 2,5-dimethylfuran, and pyrrole. The experiments were performed with initial VOC mixing ratios of 3 ppmv and initial NO₂ mixing ratios of roughly 5 ppmv, similar to the maximum amount of NO₂ observed during the NO₃ experiments. For all three compounds, their loss in the presence of NO₂ (allowing for dilution) was indistinguishable from zero, allowing an upper limit of <2 × 10⁻²⁰ cm³ molec.⁻¹ s⁻¹ to be placed on their *k*(NO₂) rate coefficients. Based on these experiments, it was assumed that the *k*(NO₂) rate coefficients for 2-methylfuran, furfural, and α-angelicalactone are likely to be of a similar magnitude and, hence, provide negligible interference under the experimental conditions employed.

## 3 Results and discussion

The *k*(NO₃) rate coefficients determined with each reference compound are given in Table 3 and Fig. 3. Overall recommended values for the rate coefficient for each compound are

calculated by taking the mean (weighted by the reported uncertainty of the reference) of the rate coefficient derived from each experiment with each reference compound, including using the recommended values for the other furans presented in Table 3. Uncertainties for the relative rates in Table S1 are assumed to be <10% and to be dominated by statistical errors in fitting to the absorption bands. Uncertainties for the rate coefficients reported in Table 3 are dominated by the assumed uncertainties in *k*(NO₃) of the reference compounds. For most of the references, the uncertainties are 20%–30%, taken from the recommendations of McGillen et al. (2020). For 2,3-dimethyl-2-butene, the recommended uncertainty in McGillen et al. (2020) is 150%; however, based on the fact that the rate coefficients derived using 2,3-dimethyl-2-butene for 2-methylfuran, 2,5-dimethylfuran, and pyrrole agree very well with those using other references with much smaller uncertainties, a conservative estimate of 30% is used here. It is noted that the rate coefficients derived with different references agree very well, to within 10%, for all compounds. The experimentally determined *k*(NO₃) rate coefficients of the furans relative to each other are in good agreement (to within 6%) with those calculated using the weighted means
shown in Table 3 (Table S2). This gives further confidence in the k(NO₃) values used for the reference compounds.

The recommended rate coefficients from this work are compared to those previously reported in the literature in Table 4. The rate coefficient derived for furan agrees well with the value previously reported by Atkinson et al. (1985) from a chamber relative rate experiment. However, there is significant differences between the values reported here for furan, 2-methylfuran, and 2,5-dimethylfuran, and those reported by Kind et al. (1996) from relative rate experiments in a flow reactor. While the value reported for 2-methylfuran agrees within the uncertainties between the two studies, the values for furan and 2,5-dimethylfuran reported here are ~50% and 100% greater respectively. It is unclear what is behind this observed disparity; the good agreement between the two studies for the 2-methylfuran rate coefficient suggests that there is not a systematic difference between the experimental set-ups. For pyrrole, the rate coefficient determined here is about 50% faster than the value reported by Atkinson et al. (1985) from a chamber relative rate experiment using N₂O₅ thermal decomposition. Cabañas et al. (2004) reported an upper limit of <1.8 × 10⁻¹⁰ cm³ molec.⁻¹ s⁻¹ (298 K) using an absolute technique of fast flow discharge.

For 2-furanaldehyde (furfural) + NO₃, the rate coefficient recommended here is an order of magnitude slower than the only previously reported values (Colmenar et al., 2012), derived from small chamber relative rate experiments with 2-methyl-2-butene and α-pinene as references. The rate coefficient from Colmenar et al. (2012) is very similar to the reported rate coefficient for furan + NO₃. This is surprising, as the presence of a formyl group attached to a double bond is expected to be strongly deactivating with respect to addition to that bond, due to the electron withdrawing mesomeric effect of the -C(O)H group (Kerdouci et al., 2014). This has also been observed for other electrophilic addition reactions, such as those with OH and O₃ (Kwok and Atkinson, 1995; McGillen et al., 2011; Jenkin et al., 2020). Furthermore, while there is the possibility of H abstraction from the formyl group, which would increase the overall rate coefficient, such reactions are typically of the order of 10⁻¹⁴ cm³ s⁻¹ (Kerdouci et al., 2014); hence, they would not be expected to compensate for the reduction in the contribution to the overall rate coefficient of the addition reaction.

For 5-methyl-(3H)-furan-2-one (α-angelicalactone) + NO₃, this is the first reported rate coefficient. For (5H)-furan-2-one (γ-crotonolactone), relative rate experiments with several reference compounds were attempted, with the slowest reacting of these being cyclohexane (kNO₃ = 1.4 × 10⁻¹⁶ cm³ molec.⁻¹ s⁻¹). In this experiment, roughly 10% of the cyclohexane was removed by reaction with NO₃ (accounting for loss by dilution), whereas there was no appreciable chemical loss of γ-crotonolactone. Therefore, we can deduce that k(γ-crotonolactone + NO₃) ≪ 1.4 × 10⁻¹⁶ cm³ molec.⁻¹ s⁻¹. Again, this is the first time a NO₃ reaction rate coefficient

has been measured for this compound. A comparison of the two furanones shows that 5-methyl-(3H)-furan-2-one reacts more than 4 orders of magnitude faster than (5H)-furan-2-one. This can be explained in part by the presence of a methyl group, which is seen to increase the rate coefficient by roughly an order of magnitude from e.g. furan to 2-methylfuran to 2,5-dimethylfuran. Berndt et al. (1997) derived an NO₃ reaction rate coefficient of 1.76 × 10⁻¹³ cm³ molec.⁻¹ s⁻¹ for (3H)-furan-2-one. However, the majority of the difference must be explained by the structure of the two compounds, namely the conjugated nature of the C=C and C=O bonds in (5H)-furan-2-one. The carbonyl group removes electron density from the C=C bond, greatly reducing the rate coefficient. A similar relationship is seen for analogous acyclic compounds e.g. the NO₃ rate coefficient of the conjugated ester methyl acrylate is almost 2 orders of magnitude greater than that of the non-conjugated isomer vinyl acetate.

## 4 Atmospheric implications

The atmospheric lifetimes of the compounds, based on the rate coefficients reported herein, are given in Table 5. These assume concentrations of OH = 5 × 10⁶ molec. cm⁻³ (typical daily peak summertime concentrations of 1.5 × 10⁶–1.5 × 10⁷ molec. cm⁻³; Stone et al., 2012), night-time NO₃ = 2 × 10⁸ molec. cm⁻³ (typical night-time concentrations of 1 × 10⁸ to >1 × 10⁹ cm⁻³; Brown and Stutz, 2012), daytime NO₃ = 1 × 10⁷ molec. cm⁻³ (limited daytime measurements suggest concentrations ~0.5 to >1 pptv, 2.5 × 10⁷ molec. cm⁻³; Brown and Stutz, 2012), and O₃ = 40 ppbv (background O₃ concentration ~40 ppb; Parish et al., 2014). It is noted that oxidant concentrations have a high spatial and temporal variability due to variability in their sources and sinks and that oxidant levels within biomass burning plumes in particular are poorly understood. Hence, the relative importance of the oxidants shown in Table 5 is likely to vary depending on conditions. From the values given in Table 5, it is clear that the alkyl-substituted furans and pyrrole have very short lifetimes both during the day, when the dominant daytime sink is likely to be reaction with OH, and at night, when the dominant sink will be reaction with NO₃. O₃ may contribute somewhat to the removal of these compounds both during the day and night, particularly for 2,5-dimethylfuran. As k(NO₃) approaches the same order of magnitude as k(OH), e.g. for 2-methylfuran, 2,5-dimethylfuran, and pyrrole, the NO₃ reaction is likely to be competitive with the OH reaction even during the day in low-NOₓ environments, with daytime NO₃ concentrations reported to be ~1 ppt (2.5 × 10⁷ molec. cm⁻³) (Brown and Stutz, 2012). The relatively large rate coefficient reported here for α-angelicalactone suggests that NO₃ reaction will be an important sink for unsaturated non-conjugated cyclic esters. On the other hand, the very small rate coefficient for
<table><caption>**Table 4.** Recommended NO₃ rate coefficients from this work compared to those reported in the literature. Recommended values from this work (Table 3) are given in bold.</caption><thead><tr><th>Compound</th><th>Rate coefficient (cm<sup>3</sup> molec.<sup>-1</sup> s<sup>-1</sup>)</th><th>Reference</th><th>Technique</th><th>NO<sub>3</sub> source</th></tr></thead><tbody><tr><td>2,5-dimethylfuran</td><td>(1.02 ± 0.31) × 10<sup>-10</sup><br>(5.78 ± 0.34) × 10<sup>-11</sup></td><td>This work<br>Kind et al. (1996)</td><td>Flow reactor: relative (trans-2-butene)</td><td>N<sub>2</sub>O<sub>5</sub></td></tr><tr><td>pyrrole</td><td>(6.94 ± 1.9) × 10<sup>-11</sup><br>(4.6 ± 1.1) × 10<sup>-11</sup><br>&lt;1 × 10<sup>-10</sup></td><td>This work<br>Atkinson et al. (1985)<br>Cabañas et al. (2004)</td><td>Chamber: relative (2-methyl-2-butene)<br>Flow reactor: absolute (LIF<sup>b</sup> detection of NO<sub>3</sub>)</td><td>N<sub>2</sub>O<sub>5</sub><br>HNO<sub>3</sub> + F</td></tr><tr><td>2-methylfuran</td><td>(2.26 ± 0.52) × 10<sup>-11</sup><br>(2.57 ± 0.17) × 10<sup>-11</sup></td><td>This work<br>Kind et al. (1996)</td><td>Flow reactor: relative (trans-2-butene)</td><td>N<sub>2</sub>O<sub>5</sub></td></tr><tr><td>α-angelicalactone</td><td>(3.01 ± 0.45) × 10<sup>-12</sup></td><td>This work</td><td></td><td></td></tr><tr><td>furan</td><td>(1.49 ± 0.23) × 10<sup>-12</sup><br>(1.5 ± 0.2) × 10<sup>-12a</sup><br>(0.998 ± 0.062) × 10<sup>-12</sup><br>(1.36 ± 0.8) × 10<sup>-12</sup></td><td>This work<br>Atkinson et al. (1985)<br>Kind et al. (1996)<br>Cabañas et al. (2004)</td><td>Chamber: relative (trans-2-butene)<br>Flow reactor: relative (trans-2-butene)<br>Flow reactor: absolute (LIF detection of NO<sub>3</sub>)</td><td>N<sub>2</sub>O<sub>5</sub><br>N<sub>2</sub>O<sub>5</sub><br>HNO<sub>3</sub> + F</td></tr><tr><td>furfural</td><td>(9.07 ± 2.30) × 10<sup>-14</sup><br>(1.17 ± 0.15) × 10<sup>-12</sup><br>(1.36 ± 0.38) × 10<sup>-12</sup></td><td>This work<br>Colmenar et al. (2012)<br>Colmenar et al. (2012)</td><td>Small chamber: relative (2-methyl-2-butene)<br>Small chamber: relative (α-pinene)</td><td>N<sub>2</sub>O<sub>5</sub><br>N<sub>2</sub>O<sub>5</sub></td></tr><tr><td>γ-crotonolactone</td><td>&lt;1.4 × 10<sup>-16</sup></td><td>This work</td><td></td><td></td></tr></tbody></table>

<table><caption>**Table 5.** Atmospheric gas-phase lifetimes of the compounds reported herein based on typical midday OH concentrations of 5 × 10⁶ molec. cm⁻³, night-time NO₃ concentrations of 2 × 10⁸ molec. cm⁻³, daytime NO₃ concentrations of 1 × 10⁷ molec. cm⁻³, and background O₃ concentrations of 40 ppbv (1 × 10¹² molec. cm⁻³).</caption><thead><tr><th>Compound</th><th>τ<sub>NO<sub>3</sub></sub> (night)</th><th>τ<sub>NO<sub>3</sub></sub> (day)</th><th>τ<sub>OH</sub> (day)</th><th>τ<sub>O<sub>3</sub></sub></th><th>τ<sub>total</sub> (day)</th></tr></thead><tbody><tr><td>2,5-dimethylfuran</td><td>0.82 min</td><td>16 min</td><td>26 min<sup>a</sup></td><td>40 min<sup>b</sup></td><td>8 min</td></tr><tr><td>2-methylfuran</td><td>3.7 min</td><td>74 min</td><td>48 min<sup>a</sup></td><td>–</td><td>28 min</td></tr><tr><td>furan</td><td>56 min</td><td>19 h</td><td>83 min<sup>a</sup></td><td>116 h<sup>c</sup></td><td>77 min</td></tr><tr><td>pyrrole</td><td>1.2 min</td><td>24 min</td><td>28 min<sup>d</sup></td><td>18 h<sup>d</sup></td><td>13 min</td></tr><tr><td>furfural</td><td>15 h</td><td>13 d</td><td>95 min<sup>e</sup></td><td>–</td><td>94 min</td></tr><tr><td>α-angelicalactone</td><td>28 min</td><td>9.3 h</td><td>48 min<sup>f</sup></td><td>3.5 h<sup>g</sup></td><td>37 min</td></tr><tr><td>γ-crotonolactone</td><td>&gt;1.1 year</td><td>&gt;22 years</td><td>14 h<sup>h</sup></td><td>173 years</td><td>14 h</td></tr></tbody></table>

the γ-crotonolactone + NO₃ reaction suggests that this will not be an important atmospheric sink. γ-crotonolactone has also been shown to have a very slow reaction with O₃ (lifetime >100 years; Ausmeel et al., 2017), whereas the lifetime is much shorter for reaction with OH, and this will be the predominant gas-phase sink for γ-crotonolactone. Such a slow NO₃ reaction might be expected to extend to all 2-furanones with a conjugated structure, e.g. hydroxyfuranones – major products of OH oxidation of methyl-substituted furans (Aschmann et al., 2014), such that the nitrate reaction may be unimportant in the atmosphere for these structures. However substitution at the double bond is likely to increase the rate coefficient somewhat, as observed for OH and O₃ reactions

with the methyl-substituted form of γ-crotonolactone (Ausmeel et al., 2017).

One of the major sources of furan-type compounds to the atmosphere is wildfires. Wildfire plumes can even be regions of high NO₃ during the day due to suppressed photolysis rates in optically thick plumes (Decker et al., 2021). NO₃ oxidation of furans may be even more important in such plumes than in the background atmosphere. Such plumes can extend over hundreds of kilometres and, hence, affect air quality on a local and regional scale (e.g. Andreae et al., 1988; Brocchi et al., 2018; Johnson et al., 2021). Domestic wood burning is an increasing trend in northern European cities (Chafe et al., 2015). Burning generally occurs in the winter, during which

<footnote><sup>a</sup> Corrected for change to recommended rate for reference (trans-2-butene). <sup>b</sup> LIF represents laser-induced fluorescence.</footnote>

<footnote><sup>a</sup> Matsumoto (2011). <sup>b</sup> Dillon et al. (2012). <sup>c</sup> Atkinson et al. (1983). <sup>d</sup> Atkinson et al. (1984a). <sup>e</sup> Bierbach et al. (1995). <sup>f</sup> Bierbach et al. (1994). <sup>g</sup> Estimated (Bierbach et al., 1994). <sup>h</sup> Ausmeel et al. (2017).</footnote>
time (with short daylight hours and peak daytime OH often an order of magnitude lower than during the summer) the reaction with NO₃ is likely to be the dominant fate of furan-type compounds in such emissions, contributing significantly to organic aerosol in urban areas (Kodros et al., 2020).

Berndt et al. (1997) identified the major first-generation products of furan + NO₃ to be the unsaturated dicarbonyl, butenedial, and 2(3H)-furanone, with the NO₃ recycled back to NO₂. However, Tapia et al. (2011) and Joo et al. (2019) found that the major products of the 3-methylfuran + NO₃ reaction predominantly retain the NO₃ functionality. In this case, furan + NO₃ oxidation chemistry may be a significant sink for NOₓ, sequestering it in nitrate species; these nitrate species may then release the NOₓ far from the source on further gas-phase oxidation or (due to their low volatility) be taken up into aerosol (Joo et al., 2019).

## 5 Conclusions

Rate coefficients are recommended for reaction of seven furan-type VOCs with NO₃ at 298 K and 760 Torr, based on a series of relative rate experiments. These new recommendations highlight the importance of NO₃ chemistry to the removal of furans and other similar VOCs under atmospheric conditions. The measured rate coefficients suggest that for the three furans reported here, as well as for pyrrole and α-angelicalactone, reaction with NO₃ is likely to be their dominant night-time sink. For the alkyl furans and pyrrole, reaction with NO₃ may also be a significant sink during the daytime. This work also extends the existing database of VOC + NO₃ reactions, providing valuable reference values for future work.

**Data availability.** Further example plots and experiment information are provided in the Supplement. All of the response-time profiles from the FTIR are provided in .txt format at https://doi.org/10.5281/zenodo.5724967 (Newland, 2021a), and all of the raw FTIR output is provided in .csv format at https://doi.org/10.5281/zenodo.5721518 (Newland, 2021b).

**Supplement.** The supplement related to this article is available online at: https://doi.org/10.5194/acp-22-1761-2022-supplement.

**Author contributions.** MJN performed the experiments with technical support from YR and MRM; MJN was also responsible for performing the data treatment, data interpretation, and writing the paper. All co-authors revised the content of the original manuscript and approved the final version of the paper.

**Competing interests.** The contact author has declared that neither they nor their co-authors have any competing interests.

**Disclaimer.** Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

**Special issue statement.** This article is part of the special issue "Simulation chambers as tools in atmospheric research (AMT/ACP/GMD inter-journal SI)". It is not associated with a conference.

**Acknowledgements.** This work has been supported by the European Union's Horizon 2020 Research and Innovation programme through the EUROCHAMP-2020 Infrastructure Activity (grant no. 730997), Labex Voltaire (grant no. ANR-10-LABX-100-01), and ANR (SEA_M project, grant no. ANR-16-CE01-0013, programme ANR-RGC 2016).

**Financial support.** This research has been supported by the Horizon 2020 Research and Innovation programme (EUROCHAMP-2020, grant no. 730997) and the Agence Nationale de la Recherche (grant nos. ANR-16-CE01-0013 and ANR-10-LABX-100-01).

**Review statement.** This paper was edited by Nga Lee Ng and reviewed by two anonymous referees.

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