Reaction between OH and CH3CHO

Part 2. Temperature dependent rate coefficients (201–348 K)

V. Sivakumaran and John N. Crowley *
Max-Planck-Institut für Chemie, Division of Atmospheric Chemistry, Postfach 3060, 55020 Mainz, Germany. E-mail: crowley@mpch-mainz.mpg.de

Received 24th September 2002 , Accepted 5th November 2002

First published on 21st November 2002


Abstract

Absolute rate coefficients for the reaction OH[thin space (1/6-em)]+[thin space (1/6-em)]CH3CHO[thin space (1/6-em)][thin space (1/6-em)]products (1) were measured over the temperature range 201–348 K using the technique of pulsed laser photolytic generation of OH coupled to detection by pulsed laser induced fluorescence. The experiments were carried out at total pressures of 50 or 100 Torr (He or Ar bath gas). The accuracy of the rate constants obtained was enhanced by on-line optical absorption measurements of the acetaldehyde concentration. The temperature dependence of the rate coefficient, expressed in Arrhenius form, is given by k1(201–348 K)[thin space (1/6-em)]=[thin space (1/6-em)]4.38[thin space (1/6-em)]×[thin space (1/6-em)]10−12 exp{(366[thin space (1/6-em)]±[thin space (1/6-em)]40)/T} cm3 s−1 with the rate coefficient at room temperature of 1.53[thin space (1/6-em)]×[thin space (1/6-em)]10−11 cm3 s−1. The estimated total error (95% confidence) associated with the rate coefficient derived from this expression is estimated as 5%, and is independent of temperature. The present results, which extend the database on this reaction to cover temperature relevant for the upper troposphere, are compared to previously published measurements, and values of k1 for atmospheric modelling are recommended.


1 Introduction

Recent field measurements have revealed higher than expected concentrations of partially oxidised hydrocarbons (POH) in large areas of the free and upper troposphere (UT).1,2 The impact of POH in the UT has been investigated in modelling studies that identified a strong influence on the formation rate of odd hydrogen radicals (HOx).3–7 The resultant enhanced HOx concentrations increase the rates of oxidation processes in the tropopause region and the net photochemical production of O3, for given levels of NOx, and increase the sensitivity of O3 production to increasing emissions of NOx from e.g. aircraft and the polluted boundary layer.8–10 The formation of PAN, an important temporary reservoir for both NOx and HOx, and mediator for NOx transport from more to less polluted regions, was also predicted to be strongly enhanced.3

Much attention has focussed on acetone (CH3C(O)CH3) in the UT, with new data on its photolysis and OH sinks at low temperatures becoming available over the last few years.11,12 Similar to acetone, acetaldehyde is formed in the atmosphere in secondary processes following the OH initiated degradation of non methane hydrocarbons, and is also directly emitted in the boundary layer as a result of biogenic processes.13 Acetone has been measured at mixing ratios that frequently approach 2000 ppt14 whilst those of the shorter lived acetaldehyde are typically 50–100 ppt.2

Whereas acetone is degraded by photolysis and reaction with OH, the fate of acetaldehyde is expected to be predominantly reaction (1), which proceeds mainly by abstraction of the aldehydic H-atom to form the acetyl radical, CH3CO.15

 
OH[thin space (1/6-em)]+[thin space (1/6-em)]CH3CHO[thin space (1/6-em)][thin space (1/6-em)]CH3CO[thin space (1/6-em)]+[thin space (1/6-em)]H2O(1)
 
OH[thin space (1/6-em)]+[thin space (1/6-em)]CH3C(O)CH3[thin space (1/6-em)][thin space (1/6-em)]products(2)
 
CH3C(O)CH3[thin space (1/6-em)]+[thin space (1/6-em)]hν[thin space (1/6-em)][thin space (1/6-em)]CH3[thin space (1/6-em)]+[thin space (1/6-em)]CH3CO(3)
 
CH3CO[thin space (1/6-em)]+[thin space (1/6-em)]O2[thin space (1/6-em)]+[thin space (1/6-em)]M[thin space (1/6-em)][thin space (1/6-em)]CH3C(O)O2[thin space (1/6-em)]+[thin space (1/6-em)]M(4)
 
CH3C(O)O2[thin space (1/6-em)]+[thin space (1/6-em)]NO2[thin space (1/6-em)]+[thin space (1/6-em)]M[thin space (1/6-em)][thin space (1/6-em)]CH3C(O)O2NO2[thin space (1/6-em)]+[thin space (1/6-em)]M(5)
Under atmospheric conditions, the acetyl radical formed in reaction (1) or (3) reacts with O2 [reaction (4)] to form the acetylperoxy radical, CH3C(O)O2, which can react with NO2 [reaction (5)] to form peroxyacetylnitrate, PAN, CH3C(O)O2NO2.16

The presence of 2000 ppt acetone is accompanied by enhanced OH levels of [OH][thin space (1/6-em)][thin space (1/6-em)]5[thin space (1/6-em)]×[thin space (1/6-em)]105 cm−3 in the upper troposphere. Under these conditions, and assuming 50 ppt acetaldehyde, the rates of acetyl formation (Racetyl) from acetone photolysis and OH reaction with acetaldehyde are, to a first approximation given by Racetyl[thin space (1/6-em)]=[thin space (1/6-em)]Jacetone[CH3C(O)CH3][thin space (1/6-em)][thin space (1/6-em)]8[thin space (1/6-em)]×[thin space (1/6-em)]10−4 ppt s−1 for acetone photolysis and Racetyl[thin space (1/6-em)]=[thin space (1/6-em)]k1[OH][CH3CHO][thin space (1/6-em)][thin space (1/6-em)]6[thin space (1/6-em)]×[thin space (1/6-em)]10−4 ppt s−1 from CH3CHO. In these calculations, Jacetone is the diurnally averaged photolysis rate of acetone in the UT, and is approximately 4[thin space (1/6-em)]×[thin space (1/6-em)]10−7 s−1,12,17 and k1 is the rate coefficient for reaction between OH[thin space (1/6-em)]+[thin space (1/6-em)]CH3CHO, for which a value of ≈2.5[thin space (1/6-em)]×[thin space (1/6-em)]10−11 cm3 s−1 at 220 K is presently recommended.16 Clearly, PAN formation from acelaldehyde and acetone in the UT can be comparable. Despite the potential importance of acetaldehyde in the UT, an examination of the kinetic database for the OH reaction shows that relatively little data has been obtained in the relevant temperature regime (200–250 K), as most studies have been carried out at room temperature and above and have focussed on its role in combustion processes. The available literature will be discussed in the context of the present study in a later section.

The goal of the present study was to obtain accurate data on the kinetics of the overall reaction of OH with acetaldehyde [reaction (1)] at low temperatures. An associated study of the product channels in this reaction has recently been published.15

2 Experimental

The experimental investigation of the title reaction was carried out using the pulsed laser photolysis, pulsed laser induced fluorescence (PLP-PLIF) technique in which OH radicals are generated by pulsed photolysis of suitable precursors on time scales that are short compared to the subsequent decay, and are detected by pulsed laser induced fluorescence. The experimental set-up for PLP-PLIF has been described previously11 and is described only briefly here.

2.1 Pulsed laser photolysis-pulsed laser induced fluorescence

The experiments were carried out using a double jacketed reactor of volume ≈500 cm3. Gas mixtures entered the reactor ≈15 cm upstream of the photolysis region to ensure thermal equilibrium with the walls of the vessel, and were pumped out through ports in the baffle arms, and in front of the fluorescence collection lens. The cell was thermostatted to the desired temperature by circulating a cryogenic fluid through the outer jacket, and the temperature was measured by using a J-Type thermocouple that could be inserted into the reaction volume where the focus of the telescopic lens system and the laser beams intersect. The pressure in the cell, monitored with 10, 100 and 1000 Torr capacitance manometers, was held constant at 50 or 100 Torr, using either Ar or He as bath gases. Typical flow rates, regulated using calibrated mass flow controllers, were between 250 and 500 sccm, resulting in linear gas velocities in the reaction cell of ≈40 cm s−1, ensuring that a fresh gas sample was photolysed at each laser pulse, and prevented build up of products.

OH radicals were generated from suitable precursors (see below) by the ≈20 ns pulse of an excimer laser at 193 or 248 nm. Fluorescence from OH was detected by a photomultiplier tube (PMT) filtered by 309 nm interference filter and a BG 26 glass cut off filter. Excitation of the A 2Σ (v[thin space (1/6-em)]=[thin space (1/6-em)]1)[thin space (1/6-em)][thin space (1/6-em)]X 2Π (v[thin space (1/6-em)]=[thin space (1/6-em)]0), Q11 (1) transition at 281.997 nm was achieved using the frequency doubled emission from a Nd-Yag pumped dye laser (Rhodamine 6G). The PMT signals were recorded by a gated box-car integrator. The sensitivity of this set up to OH was estimated by photolysis of a known concentration of OH precursor (e.g. H2O2) with a known laser fluence. The detection limit in the absence of CH3CHO was found to be ≈108 cm−3 for a S/N[thin space (1/6-em)]=[thin space (1/6-em)]1 (20 scans).

2.2 Generation of OH radicals

Two different precursors were used to generate OH radicals in the present experiments. The photolysis of H2O2 at 248 nm (KrF excimer laser) was used to generate OH radicals for experiments between 273 and 348 K. Typically, about 1014 H2O2 cm−3 were photolysed at a laser fluence of 5–10 mJ cm−2 to generate ≈(5–10)[thin space (1/6-em)]×[thin space (1/6-em)]1010 cm−3 of OH. H2O2 was transported to the photolysis cell by bubbling a 5 sccm flow of Ar through a concentrated H2O2 solution.
 
H2O2[thin space (1/6-em)]+[thin space (1/6-em)]hν (248 nm)[thin space (1/6-em)][thin space (1/6-em)]2 OH (X 2Π, v[thin space (1/6-em)]=[thin space (1/6-em)]0)(6)
Below ≈270 K, this source of OH could not be used due to the condensation of H2O2 on the reactor wall. For temperatures between 295 and 202 K, OH generation was initiated by the following scheme.
 
N2O[thin space (1/6-em)]+[thin space (1/6-em)]hν (193 nm)[thin space (1/6-em)][thin space (1/6-em)]O(1D)[thin space (1/6-em)]+[thin space (1/6-em)]N2(7)
 
O(1D)[thin space (1/6-em)]+[thin space (1/6-em)]CH4[thin space (1/6-em)][thin space (1/6-em)]OH(X 2Π, v[thin space (1/6-em)]>[thin space (1/6-em)]0)[thin space (1/6-em)]+[thin space (1/6-em)]CH3(8)
 
OH(X 2Π, v[thin space (1/6-em)]>[thin space (1/6-em)]0)[thin space (1/6-em)]+[thin space (1/6-em)]CH4[thin space (1/6-em)][thin space (1/6-em)]OH(X 2Π, v[thin space (1/6-em)]=[thin space (1/6-em)]0)[thin space (1/6-em)]+[thin space (1/6-em)]CH4(9)
About 1[thin space (1/6-em)]×[thin space (1/6-em)]1014 cm−3 of N2O was photolysed at 193 nm with a fluence of 5–10 mJ cm−2 per pulse [reaction (7)] to generate O(1D). This was rapidly converted to OH by reaction (8) in an excess of CH4. The vibrationally hot18 OH formed in reaction (8) is quenched to the ground state by CH4 [reaction (9)] which is a reasonably efficient process for v[thin space (1/6-em)]=[thin space (1/6-em)]2 (k9[thin space (1/6-em)]=[thin space (1/6-em)]2.3[thin space (1/6-em)]×[thin space (1/6-em)]10−12 cm3 s−1).19 The CH4 concentration was varied between ≈5[thin space (1/6-em)]×[thin space (1/6-em)]1016 and 5[thin space (1/6-em)]×[thin space (1/6-em)]1017 cm−3 in order to find the best experimental conditions that represent a balance between sufficiently rapid formation and quenching of the vibrationally hot OH on a time scale that was short compared to its reaction with CH3CHO, and loss of the thermalised OH due to reaction with CH4. At a concentration of 1[thin space (1/6-em)]×[thin space (1/6-em)]1017 CH4 cm−3, vibrationally excited OH will be quenched to OH(X 2Π, v[thin space (1/6-em)]=[thin space (1/6-em)]0) in a few microseconds.

Evidence for the formation of vibrationally hot OH in the present experiments was provided by the observation of non-exponential OH decays in the absence of CH4, which is caused by the quenching of higher vibrational states to the X 2Π (v[thin space (1/6-em)]=[thin space (1/6-em)]0) state on the time-scale of OH decay due to reaction with CH3CHO. In these experiments the reaction of O(1D) with CH3CHO provides the excited OH. Experiments carried out with H2 used to scavenge the O(1D) always resulted in non-exponential OH decays as He and H2 are inefficient quenchers of OH(X 2Π, v[thin space (1/6-em)]>[thin space (1/6-em)]0).19

As the rate coefficient of OH with CH4 is strongly temperature dependent, decreasing by a factor of ≈40 over the temperature range of the present study,16 the loss of OH by reaction with CH4 is only significant at the higher temperatures and higher CH4 concentrations. For example, at 202 K and [CH4][thin space (1/6-em)]=[thin space (1/6-em)]1[thin space (1/6-em)]×[thin space (1/6-em)]1017 cm−3 the first order decay coefficient for OH is ≈40 s−1 which is small compared to first order decay coefficients of up to 3[thin space (1/6-em)]×[thin space (1/6-em)]104 s−1 for loss of OH by reaction with CH3CHO. For this reason, the photolysis of N2O/CH4/He mixtures as the OH source is particularly well suited for work at lower temperatures. In previous work11 we used the 351 nm photolysis of dry, flowing HONO as OH source at low temperatures. This source proved to be inappropriate for the present experiments as the simultaneous formation of O(3P) (from the photolysis of NO2 impurity) resulted in secondary OH formation via its reaction with CH3CHO.

2.3 Optical absorption measurements of CH3CHO

The concentration of the excess reactant (CH3CHO) was determined by on-line optical absorption, whereby the absorption by CH3CHO of UV light from a D2 lamp was determined in a separate absorption cell, which was equipped with external multi-pass optics to enhance the effective absorption pathlength to 892 cm (8 passes). Tests with static gas mixtures showed that the effective optical absorption pathlength was within a few percent of the geometric one and showed no systematic bias. The entire absorption region of CH3CHO between 220–340 nm was recorded by diode array spectrograph with a resolution of ∼0.4 nm, and the concentrations were determined by least-squares fitting of the measured data to a reference UV absorption spectrum measured in this laboratory.20 This reference spectrum is in excellent agreement with published21,22 measurements of the CH3CHO absorption spectrum, which we consider to be known to an estimated accuracy of ≈5% at wavelengths close to λmax.

The multi-pass optical absorption cell was connected serially in flow prior to the reactor cell and maintained at room temperature. Corrections for molecular density changes due to the difference in pressure (usually less than 1%) and temperature between the cells were made to calculate the concentration of CH3CHO in the photolysis cell.

For determining the concentration of CH3CHO for use in the analysis of the kinetic data, wavelength dependent absorption traces as shown in Fig. 1 were obtained simultaneously with the measurement of an OH decay profile. Fig. 1 shows the measured optical density, scaled reference spectrum and fit residuals. The quality of the least squares fit of the optical density measurements to the UV spectrum of CH3CHO was such that errors in [CH3CHO] are estimated at ⩽5%, mainly from errors in the CH3CHO cross-sections. The fine structure in the residuals at wavelengths longer than 290 nm is due to rotational fine structure in the reference spectrum, which was not observed in the present experimental set-up as it employed a lower spectral resolution. As the fine structure is of negligible amplitude compared to the overall absorption continuum, this has no impact on the overall precision of the fit, or calculation of the concentration.


Measured optical density over a pathlength of 892 cm due to dilute flowing mixture of CH3CHO (solid line) along with the least-squares fit using a reference spectrum (dashed line) and the residuals (dotted line). In this particular case the concentration of CH3CHO was determined as 1.03 × 1015 cm−3, with statistical errors of less than 1%.
Fig. 1 Measured optical density over a pathlength of 892 cm due to dilute flowing mixture of CH3CHO (solid line) along with the least-squares fit using a reference spectrum (dashed line) and the residuals (dotted line). In this particular case the concentration of CH3CHO was determined as 1.03[thin space (1/6-em)]×[thin space (1/6-em)]1015 cm−3, with statistical errors of less than 1%.

This procedure worked well for measurements of CH3CHO that were taken close in time to measurements of the un-attenuated analysis light intensity, I0 (empty cell) at the beginning of the experiment. As the experiment progressed, and different CH3CHO concentrations were used, the quality of the fit was reduced due to changes in the relative intensity of the D2 lamp. For this reason series of three absorption spectra and OH decays over a range of CH3CHO were obtained in relatively rapid succession after measuring I0. The linearity of the optical CH3CHO measurement with the flow controller reading was then established to derive a conversion factor, which was used to convert subsequent, intermediate mass flow controller readings to CH3CHO concentrations. As documented previously,23 we found no evidence for the decomposition of CH3CHO on passage through the flow controller.

2.4 Chemicals

CH3CHO (Aldrich, 99.9%), was degassed several times before being transferred and diluted in darkened glass storage bulbs. H2O2 (Peroxid-Chemie GmbH, ≈80 wt.%) was concentrated to >90 wt.% by vacuum distillation. N2O (Aldrich, 99.999%), Ar (Linde, 99.999%), He (Linde, 99.999%), CH4 (Linde, 99.99%) were used without further purification.

3 Results

The PLP-PLIF studies were carried out under pseudo-first order condition, [CH3CHO][thin space (1/6-em)][thin space (1/6-em)][OH], and the decay of OH is described by:
 
[OH]t[thin space (1/6-em)]=[thin space (1/6-em)][OH]0 exp−{(k1[CH3CHO][thin space (1/6-em)]+[thin space (1/6-em)]d)t}(i)
where [OH]t is the OH concentration at time[thin space (1/6-em)]=[thin space (1/6-em)]t after the laser pulse, k1 is the bimolecular rate coefficient for the reaction with CH3CHO and d accounts for diffusion of OH out of the reaction zone, and reaction of OH with either CH4 or H2O2 depending on the OH source chemistry. The use of low OH concentration and hence low conversion of CH3CHO ensures that secondary loss of OH, e.g. with CH3CO or CH3 can be disregarded fully. This could be confirmed by showing that the variation of the photolysis laser fluence, and thus radical concentrations, by a factor of three had no measurable influence on the OH decay.

Fig. 2 shows two data sets exemplifying the OH decays measured in different excess concentration of CH3CHO at 296 K using reaction (6) as OH source (A) and at 223 K using reaction sequence (7)(9) as OH source (B). In both cases the OH decays were exponential over at least 2 half-lives, though the data obtained using reaction sequence (7)(9) has slightly inferior signal-to-noise characteristics, which is a result of quenching of the fluorescent A 2Σ state of OH by CH4. The first-order decay rate coefficient, k′, was obtained by non-linear least squares fitting of the OH decays and is related to the desired rate coefficient, k1 by:

 
k[thin space (1/6-em)]=[thin space (1/6-em)]k1[CH3CHO][thin space (1/6-em)]+[thin space (1/6-em)]d(ii)


OH decays in the presence of various excess concentrations of CH3CHO. A: 296 K, H2O2 photolysis at 248 nm used as OH source. The CH3CHO concentrations (in units of cm−3) were 1.65 × 1014
(slowest decay), 2.47 × 1014, 4.11 × 1014, 6.16 × 1014 and 1.03 × 1015
(fastest decay). B: 223 K, 193 nm photolysis of N2O/CH4 used as OH source. The CH3CHO concentrations (in units of cm−3) were 0 (slowest decay), 7.27 × 1013, 1.93 × 1014, 3.93 × 1014 and 9.93 × 1014
(fastest decay).
Fig. 2 OH decays in the presence of various excess concentrations of CH3CHO. A: 296 K, H2O2 photolysis at 248 nm used as OH source. The CH3CHO concentrations (in units of cm−3) were 1.65[thin space (1/6-em)]×[thin space (1/6-em)]1014 (slowest decay), 2.47[thin space (1/6-em)]×[thin space (1/6-em)]1014, 4.11[thin space (1/6-em)]×[thin space (1/6-em)]1014, 6.16[thin space (1/6-em)]×[thin space (1/6-em)]1014 and 1.03[thin space (1/6-em)]×[thin space (1/6-em)]1015 (fastest decay). B: 223 K, 193 nm photolysis of N2O/CH4 used as OH source. The CH3CHO concentrations (in units of cm−3) were 0 (slowest decay), 7.27[thin space (1/6-em)]×[thin space (1/6-em)]1013, 1.93[thin space (1/6-em)]×[thin space (1/6-em)]1014, 3.93[thin space (1/6-em)]×[thin space (1/6-em)]1014 and 9.93[thin space (1/6-em)]×[thin space (1/6-em)]1014 (fastest decay).

Fig. 3 shows a plot of kversus [CH3CHO] at selected temperatures, and using both OH source reactions. The low scatter in these plots is the result of accurate online measurement of the CH3CHO concentration and small statistical errors in the pseudo-first-order OH decay coefficients (k′). The measured rate coefficients were found to be independent of the variation of the bath gas pressure (50–100 Torr) and also the bath gas (Ar or He), and the OH generation scheme.


Plot of k′
versus
[CH3CHO] at different temperatures according to eqn. (ii). The data at 261, 296 and 342 K were obtained using the 248 nm photolysis of H2O2 as OH source, the data at 223 K were obtained using the193 nm photolysis of N2O/CH4 as OH source.
Fig. 3 Plot of kversus [CH3CHO] at different temperatures according to eqn. (ii). The data at 261, 296 and 342 K were obtained using the 248 nm photolysis of H2O2 as OH source, the data at 223 K were obtained using the193 nm photolysis of N2O/CH4 as OH source.

The complete data set obtained between 201–348 K is listed in Table 1, and shown in Arrhenius format in Fig. 4. Over the range covered, the temperature dependence of the rate coefficient can be accurately reproduced by an equation of the form:

 
k1(T)[thin space (1/6-em)]=[thin space (1/6-em)]Aexp(−E/RT)(iii)
to give k1 (201–348 K)[thin space (1/6-em)]=[thin space (1/6-em)]4.38[thin space (1/6-em)]×[thin space (1/6-em)]10−12 exp {(366[thin space (1/6-em)]±[thin space (1/6-em)]40)/T)} cm3 s−1, where the quoted errors in E/R encompass all data points and their estimated 5% total error (see below). The rate coefficient shows a distinct negative temperature dependence (i.e. the rate coefficient increases as the temperature decreases), which has previously been observed for this reaction, at least in the same temperature range (see section 3.1). As discussed in an earlier study that focussed on the product channels in the title reaction, the negative temperature dependence most likely reflects the formation and stabilisation of an association complex, that dissociates to form CH3CO and H2O.15


Arrhenius plot of all data from the present study. The open circles represent data obtained using the 248 nm photolysis of H2O2 as OH source, the data represented by solid triangles were obtained using the 193 nm photolysis of N2O/CH4 as OH source.
Fig. 4 Arrhenius plot of all data from the present study. The open circles represent data obtained using the 248 nm photolysis of H2O2 as OH source, the data represented by solid triangles were obtained using the 193 nm photolysis of N2O/CH4 as OH source.
Table 1 Summary of present measurements of k1
Temperature/K Bath gas,a OH source Range of CH3CHO/1014 cm−3 1011k1bcm3 s−1
a All experiments carried out at 100 Torr total pressure, except for those where the pressure is indicated. b Error limits are 2σ precision only. The total estimated error is 5% at each temperature.
202 He, N2O/CH4 1.4–14.4 2.58[thin space (1/6-em)]±[thin space (1/6-em)]0.03
202 He, N2O/CH4 1.4–15.4 2.62[thin space (1/6-em)]±[thin space (1/6-em)]0.04
202 He, N2O/CH4 1.6–14.0 2.87[thin space (1/6-em)]±[thin space (1/6-em)]0.06
211 He, N2O/CH4 1.0–9.9 2.51[thin space (1/6-em)]±[thin space (1/6-em)]0.04
212 He, N2O/CH4 1.4–14.2 2.47[thin space (1/6-em)]±[thin space (1/6-em)]0.04
224 He, N2O/CH4 1.1–13.5 2.27[thin space (1/6-em)]±[thin space (1/6-em)]0.02
234 He, N2O/CH4 1.1–13.0 2.14[thin space (1/6-em)]±[thin space (1/6-em)]0.02
244 He, N2O/CH4 1.0–12.8 1.90[thin space (1/6-em)]±[thin space (1/6-em)]0.02
253 He, N2O/CH4 0.9–11.7 1.82[thin space (1/6-em)]±[thin space (1/6-em)]0.02
263 He, N2O/CH4 0.9–11.5 1.73[thin space (1/6-em)]±[thin space (1/6-em)]0.03
273 He, N2O/CH4 0.8–10.7 1.73[thin space (1/6-em)]±[thin space (1/6-em)]0.02
283 He, N2O/CH4 0.8–10.7 1.59[thin space (1/6-em)]±[thin space (1/6-em)]0.03
297 He, N2O/CH4 0.8–10.3 1.56[thin space (1/6-em)]±[thin space (1/6-em)]0.02
295 (50 Torr) He, N2O/CH4 1.2–16.1 1.52[thin space (1/6-em)]±[thin space (1/6-em)]0.02
294 He, N2O/CH4 0.7–09.9 1.58[thin space (1/6-em)]±[thin space (1/6-em)]0.02
273 Ar, H2O2 0.9–11.2 1.65[thin space (1/6-em)]±[thin space (1/6-em)]0.03
273 Ar, H2O2 0.9–11.8 1.68[thin space (1/6-em)]±[thin space (1/6-em)]0.02
278 Ar, H2O2 0.9–11.6 1.66[thin space (1/6-em)]±[thin space (1/6-em)]0.02
284 Ar, H2O2 0.8–10.8 1.60[thin space (1/6-em)]±[thin space (1/6-em)]0.03
284 Ar, H2O2 0.9–09.3 1.61[thin space (1/6-em)]±[thin space (1/6-em)]0.02
289 Ar, H2O2 0.9–11.3 1.53[thin space (1/6-em)]±[thin space (1/6-em)]0.03
292 Ar, H2O2 0.8–10.5 1.51[thin space (1/6-em)]±[thin space (1/6-em)]0.02
296 Ar, H2O2 1.0–13.5 1.51[thin space (1/6-em)]±[thin space (1/6-em)]0.01
296 (50 Torr) Ar, H2O2 0.8–10.2 1.53[thin space (1/6-em)]±[thin space (1/6-em)]0.02
304 Ar, H2O2 0.8–10.6 1.44[thin space (1/6-em)]±[thin space (1/6-em)]0.02
314 Ar, H2O2 0.8–10.2 1.41[thin space (1/6-em)]±[thin space (1/6-em)]0.02
319 Ar, H2O2 0.7–09.5 1.38[thin space (1/6-em)]±[thin space (1/6-em)]0.03
324 Ar, H2O2 0.8–07.9 1.36[thin space (1/6-em)]±[thin space (1/6-em)]0.03
333 Ar, H2O2 0.7–09.5 1.30[thin space (1/6-em)]±[thin space (1/6-em)]0.02
342 Ar, H2O2 0.7–07.3 1.25[thin space (1/6-em)]±[thin space (1/6-em)]0.02
348 Ar, H2O2 0.7–09.0 1.26[thin space (1/6-em)]±[thin space (1/6-em)]0.02


The total error in k1 at any particular temperature covered by the present work is ≈5% and is derived mainly from estimated errors in the measurement of the CH3CHO concentration. The 5% error is represented by the vertical error bars at each temperature in Fig. 4 and the 95% confidence limits are represented by the outlying upper and lower bounds to the central fit line. Note that where there is overlap (273–300 K), excellent agreement exists between data obtained using the two different OH sources.

Discussion

In the present work, accurate kinetic data on the reaction of OH with CH3CHO have been obtained at temperatures down to almost 200 K for the first time. We now compare our results with previous measurements of the rate coefficient, that have been carried out over a period spanning about 30 years, and by a number of different methods, which are listed in Table 2. Excluding the present study, there are a total of 12 determinations of the rate coefficient at room temperature, including both relative-rate, and absolute determinations. The data are in good agreement, with most results consistent with k1 (298[thin space (1/6-em)]±[thin space (1/6-em)]2 K)[thin space (1/6-em)]=[thin space (1/6-em)](1.5[thin space (1/6-em)]±[thin space (1/6-em)]0.1)[thin space (1/6-em)]×[thin space (1/6-em)]10−11 cm3 s−1 within combined error limits. As in the present study, the independence of k1 on pressure and bath gas has been documented several times.
Table 2 Summary of literature determinations of k1a
Ref. Method OH source T/K P/Torr 1011k1/cm3 s−1 (room temp.) 1012A/cm3 s−1 (E/R)/K
a Overall rate coefficient given by k1(T)[thin space (1/6-em)]=[thin space (1/6-em)]A exp (−E/RT). PLP[thin space (1/6-em)]=[thin space (1/6-em)]pulsed laser photolysis; PLIF[thin space (1/6-em)]=[thin space (1/6-em)]pulsed laser induced fluorescence; DF[thin space (1/6-em)]=[thin space (1/6-em)]discharge flow; MS[thin space (1/6-em)]=[thin space (1/6-em)]mass spectrometry; RR[thin space (1/6-em)]=[thin space (1/6-em)]relative-rate; FTIR[thin space (1/6-em)]=[thin space (1/6-em)]Fourier transform infrared spectroscopy; FP[thin space (1/6-em)]=[thin space (1/6-em)]flash photolysis; RF[thin space (1/6-em)]=[thin space (1/6-em)]resonance fluorescence; GC[thin space (1/6-em)]=[thin space (1/6-em)]gas chromatography. b Estimated total uncertainty of 25%. c Derived using presently recommended28 value of k(OH[thin space (1/6-em)]+[thin space (1/6-em)]C2H4) and associated uncertainties. d Includes estimation of overall uncertainty. e Errors are 2σ, precision only. f Total errors of 8–27% given for all data at all temperatures. g Derived using presently recommended28 value of k(OH[thin space (1/6-em)]+[thin space (1/6-em)]1-butene) and associated uncertainties.
This work PLP-PLIF H2O2 (λ[thin space (1/6-em)]=[thin space (1/6-em)]248 nm) 201–348 50, 100 (He, Ar) 1.53[thin space (1/6-em)]±[thin space (1/6-em)]0.08 4.38 −366[thin space (1/6-em)]±[thin space (1/6-em)]40
    N2O/CH4 (λ[thin space (1/6-em)]=[thin space (1/6-em)]193 nm)          
Morris et al.29 DF-MS H[thin space (1/6-em)]+[thin space (1/6-em)]NO2 300 1 (He) 1.55[thin space (1/6-em)]±[thin space (1/6-em)]0.39b    
Niki et al.30 RR-FTIR (relative to C2H4) HONO 298 700 (air) 1.62[thin space (1/6-em)]±[thin space (1/6-em)]0.18c    
Atkinson and Pitts31 FP-RF H2O (λ[thin space (1/6-em)]>[thin space (1/6-em)]105 nm) 299–426 50 (Ar) 1.60[thin space (1/6-em)]±[thin space (1/6-em)]0.16d 6.87 −257[thin space (1/6-em)]±[thin space (1/6-em)]151
Kerr and Sheppard32 RR-GC (relative to C2H4) HONO 298 760 1.28[thin space (1/6-em)]±[thin space (1/6-em)]0.43c    
Michael et al.26 DF-RF H[thin space (1/6-em)]+[thin space (1/6-em)]NO2 248–528 1.1–3.4 (He) 1.47[thin space (1/6-em)]±[thin space (1/6-em)]0.28e 5.52 −307[thin space (1/6-em)]±[thin space (1/6-em)]52
Semmes et al.24 FP-RF H2O (λ[thin space (1/6-em)]>[thin space (1/6-em)]165 nm) 250–425 100 (Ar) 1.22[thin space (1/6-em)]±[thin space (1/6-em)]0.27d 7.1 −165[thin space (1/6-em)]±[thin space (1/6-em)]91
Dóbé et al.33 DF-RF/PLIF H[thin space (1/6-em)]+[thin space (1/6-em)]NO2 F[thin space (1/6-em)]+[thin space (1/6-em)]H2O 297–517   1.69[thin space (1/6-em)]±[thin space (1/6-em)]0.33d 8.6 −200[thin space (1/6-em)]±[thin space (1/6-em)]60
Balestra et al.34 PLP-RF HNO3 (λ[thin space (1/6-em)]=[thin space (1/6-em)]248 nm) 298 27 1.7[thin space (1/6-em)]±[thin space (1/6-em)]0.3d    
Scollard et al.35 RR-GC (relative to C2H4) CH3ONO2 (λ[thin space (1/6-em)]=[thin space (1/6-em)]350–450 nm) 298 760 1.62[thin space (1/6-em)]±[thin space (1/6-em)]0.1c    
Tyndall et al.23 DF-PLIF H[thin space (1/6-em)]+[thin space (1/6-em)]NO2 F[thin space (1/6-em)]+[thin space (1/6-em)]H2O 298 2–3 (He) 1.45[thin space (1/6-em)]±[thin space (1/6-em)]0.25d    
Taylor et al.25 PLP-PLIF N2O/H2O (λ[thin space (1/6-em)]=[thin space (1/6-em)]193 nm) 295–550 100–740 (He) 1.23f 4.31 −309[thin space (1/6-em)]±[thin space (1/6-em)]19
Taylor et al.25 PLP-PLIF N2O/H2O (λ[thin space (1/6-em)]=[thin space (1/6-em)]193 nm) 600–900 100–740 (He) 1.23f 1.89 597[thin space (1/6-em)]±[thin space (1/6-em)]108
D'Anna et al.36 RR-FTIR (relative to 1-butene) RONO 298 760 (air) 1.44[thin space (1/6-em)]±[thin space (1/6-em)]0.08g    


A comparison between the present result and literature data is presented in graphical form in Fig. 5. The rate coefficients of Semmes et al.,24 and Taylor et al.25 are slightly lower than most of the others, which may be due to problems associated with CH3CHO decomposition in storage bulbs, as these authors have already discussed. Still, these results agree, within combined error limits with most of the other studies at room temperature, both relative and absolute. The average value of the existing room temperature data is 1.49[thin space (1/6-em)]×[thin space (1/6-em)]10−11 cm3 s−1, which is in excellent agreement with the present determination of (1.53[thin space (1/6-em)]±[thin space (1/6-em)]0.08)[thin space (1/6-em)]×[thin space (1/6-em)]10−11 cm3 s−1 where the error limits define the total estimated error as 5%.


Compilation of literature data. The solid line is the least squares fit to the present data set (k1 = 4.38 × 10−12 exp{366/T} cm3 s−1). The data of Taylor 96 were not tabulated in their publication and were therefore taken from their Arrhenius plot. The references refer to Morris et al.,29 Niki et al.,30 Atkinson and Pitts,31 Kerr and Sheppard,32 Michael et al.,26 Semmes et al.,24 Dóbé
et al.,33 Balestra et al.,34 Tyndall et al.,23 Scollard et al.,35 Taylor et al.,25 and D'Anna et al.36
Fig. 5 Compilation of literature data. The solid line is the least squares fit to the present data set (k1[thin space (1/6-em)]=[thin space (1/6-em)]4.38[thin space (1/6-em)]×[thin space (1/6-em)]10−12 exp{366/T} cm3 s−1). The data of Taylor 96 were not tabulated in their publication and were therefore taken from their Arrhenius plot. The references refer to Morris et al.,29 Niki et al.,30 Atkinson and Pitts,31 Kerr and Sheppard,32 Michael et al.,26 Semmes et al.,24 Dóbé et al.,33 Balestra et al.,34 Tyndall et al.,23 Scollard et al.,35 Taylor et al.,25 and D'Anna et al.36

Apart from the present study, there are five absolute measurements of the temperature dependence of k1. Much of the previous work has focussed on higher temperatures, and no data had previously been obtained at temperatures below 244 K. An examination of the data in Fig. 5 shows considerable scatter, though all previous studies of the rate coefficient at temperatures less than ≈400 K determined a negative temperature dependence that varied between E/R[thin space (1/6-em)]=[thin space (1/6-em)]−165 and −307. A common feature of a number of the previous data sets is also some curvature in the Arrhenius plot at the higher range of temperatures, though the onset of the curvature is quite variable and partially disguised by scatter in the data. The data set of Taylor et al.25 most clearly reveals strong curvature with an onset at ≈550–600 K, with the rate coefficient displaying a reversed temperature dependence (i.e. positive) at temperatures between 600 and 900 K. The present data set is represented by the straight line between 200 and 350 K which was calculated according to eqn. (iii) using A[thin space (1/6-em)]=[thin space (1/6-em)]4.38[thin space (1/6-em)]×[thin space (1/6-em)]10−12 cm3 s−1 and E/R[thin space (1/6-em)]=[thin space (1/6-em)]−366. The slope of this plot agrees well with those of Semmes et al.24 (below 360 K), Michael et al.26 and Taylor et al.25 (below 500 K), though the absolute values of the rate coefficient are somewhat higher (see discussion above concerning the room temperature data). The present data, which extends over the entire temperature range expected to be encountered by acetaldehyde in the atmosphere, accurately defines both the absolute values of the rate coefficient and their temperature dependence. This significantly reduces the uncertainty associated with calculation of the atmospheric lifetime of acetaldehyde with respect to its OH sink reaction, and formation rates of PAN. For very low temperatures in the upper troposphere, e.g. 210 K, the present parametrisation of the rate coefficient results in a value of 2.5[thin space (1/6-em)]×[thin space (1/6-em)]10−11 cm3 s−1, which is entirely consistent with recent IUPAC recommendations16 but which is significantly higher than the value of 2.0[thin space (1/6-em)]×[thin space (1/6-em)]10−11 cm3 s−1 that is presently recommended by the NASA data evaluation panel.27

Conclusions

The rate constant for the reaction of OH with CH3CHO was determined using pulsed laser photolysis-pulsed laser induced fluorescence. The kinetic data obtained shows a negative temperature dependence over the range covered, and the overall rate coefficient is given by k1(201–348 K)[thin space (1/6-em)]=[thin space (1/6-em)]4.38[thin space (1/6-em)]×[thin space (1/6-em)]10−12 exp{(366[thin space (1/6-em)]±[thin space (1/6-em)]40)/T} cm3 s−1. Use of this expression should reduce uncertainties in modelling of the lifetime and role of CH3CHO in the atmosphere.

Acknowledgements

The authors thank the European Union for financial support within the environment programme (EVK2-CT2001-00099, UTOPIHAN-ACT).

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Footnote

For Part I see ref. 15.

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