36257_5306_p527-533 5/21/97 8:06 AM 36257 Page 527 (Black plate) Journal of Chemical Kinetics (Wiley-Interscience) art 5306 5/7/97 bw Kinetic Study of Gas-Phase Reactions of Pinonaldehyde and Structurally Related Compounds M. GLASIUS, A. CALOGIROU*, N. R. JENSEN, J. HJORTH, C. J. NIELSEN** European Commission, Joint Research Centre, Environmental Institute, TP 272, I-21020 Ispra (VA), Italy Received 9 August 1996; accepted 25 November 1996 ABSTRACT: Rate constants for the reactions of OH, NO3, and O3 with pinonaldehyde and the structurally related compounds 3-methylbutanal, 3-methylbutan-2-one, cyclobutylmethylketone, and 2,2,3-trimethyl-cyclobutyl-1-ethanone have been measured at 300 6 5 K using on-line Fourier transform infrared spectroscopy. The rate constants obtained for the reactions with pinonaldehyde were: kOH 5 (9.1 6 1.8) 3 10211 cm3 molecule21 s21, kNO3 5 (5.4 6 1.8) 3 10214 cm3 molecule21 s21, and kO3 5 (8.9 6 1.4) 3 10220 cm3 molecule21 s21. The results obtained indicate a chemical lifetime of pinonaldehyde in the troposphere of about two hours under typical daytime conditions, [OH] 5 1.6 3 106 molecule cm23. © 1997 John Wiley and Sons, Inc. Int J Chem Kinet 29: 527 – 533, 1997. INTRODUCTION Monoterpenes (C10H16) from vegetation contribute an important fraction of the total nonmethane hydrocarbons emitted to the troposphere [1 – 4]. In the troposphere they react with OH and NO3 radicals as well as with O3 , leading to the formation of a variety of products. a-Pinene is one of the most abundant monoterpenes in the troposphere [2 – 4], and its gas-phase oxidation reactions have been the subject of several investigations [5 – 8]. Pinonaldehyde (cis-4-acetyl*Also affiliated with Institute of Ecological Chemistry and Environmental Analysis, Technical University of Munich, Germany **On leave from Department of Chemistry, University of Oslo, Norway Correspondence to: N. R. Jensen Contract grant Sponsor: European Commission Contract grant Sponsor: Department of Chemistry, University of Oslo (N) © 1997 John Wiley & Sons, Inc. CCC 0538-8066/97/070527-07 2,2-dimethyl-cyclobutyl-ethanal) has been found to be one of the major products in the tropospheric oxidation of a-pinene [5 – 8]. The tropospheric fate of pinonaldehyde is unknown, but, taking its structure into account, only photolysis and reaction with OH are expected to be of importance. To elucidate the atmospheric degradation of pinonaldehyde we have measured rate constants for its reactions of OH, NO3 , and O3 and the structurally related compounds 3-methylbutanal, 3-methylbutan-2one, cyclobutyl-methylketone, and 2,2,3-trimethylcyclobutyl-1-ethanone. EXPERIMENTAL All the experiments were performed in purified air at 740 6 5 torr and 300 6 5 K in a 480 L Teflon-coated reaction chamber surrounded by photolysis lamps 36257_5306_p527-533 36257 5/21/97 8:06 AM Page 528 Journal of Chemical Kinetics 528 (Black plate) (Wiley-Interscience) art 5306 2/13/96 jr 5/7/97 bw GLASIUS ET AL. (black lamps, l $ 300 nm) and equipped with a multiple reflection mirror system for on-line Fourier Transform Infrared Spectroscopy (FT-IR) with a total optical pathlength of 81 m. In addition, a low pressure mercury lamp (l 5 254 nm) has been introduced inside of the reaction chamber to photolyze H2O2 . A detailed description of the experimental system has been previously published [9]. The spectra were obtained with a Bruker IFS 113v at 1 cm21 nominal resolution by co-adding 20 to 50 scans. The OH radicals were formed by photolysis of either CH3ONO or H2O2 . CH3ONO was synthesized by adding H2SO4 (50 wt % aqueous solution) to sodium nitrite dissolved in a methanol/water mixture [10]. Pure gaseous H2O2 was obtained by heating a commercial Urea-H2O2 complex to ca. 70°C. Ozone was prepared by silent discharge of pure oxygen. NO3 radicals were formed by thermal dissociation of N2O5 , which was prepared in solid form according to a previously described procedure [11]. In a typical experiment the temperature was 295 6 3 K in the beginning of an experiment; but when CH3ONO was used as the precursor for OH radicals the temperature increased by 3 – 7 K due to the heating from the UVlamps. The rate constants for the ozone reactions were determined under pseudo-first-order conditions: k A 1 O3 9: Products (1) At 5 Aoexp{2k[O3]t} (2) ln At 5 const. 2 (k[O3]t) (3) 5 const. 2 (k9t) where k is the reaction rate constant for the reaction between compound A and O3 , and k9 5 k[O3]. With O3 in large excess its concentration will be approximately constant during an experiment and pseudo-first-order conditions are obtained. A plot of lnAt vs. time t will then give pseudo-first-order decay k9. A plot of k9 vs. [O3] will subsequently give the reaction rate constant k as the slope. Typical experimental conditions during the O3 experiments were: 50 ppmV , [O3] , 400 ppmV, 1 ppmV , [A] , 10 ppmV, but [O3] was always , 10 times [A]. The OH and NO3 reaction rate constants were determined by the “relative rate” method: k A A 1 OH 9: Products kB B 1 OH 9: Products (4) (5) For these two bimolecular reactions the following expression for the ratio kA/kB can be obtained: Figure 1 Plot of ln{[pinonaldehyde]o /[pinonaldehyde]t}, corrected for losses, vs. ln{[1,3-butadiene]o / [1,3butadiene]t} for the decay of pinonaldehyde and 1,3-butadiene during photolysis of methylnitrite producing OH radicals. kA/kB 5 ln(Ao /At)/ln(Bo /Bt) (6) Thus when kB is known, kA can be calculated. In the case that reactant A has an additional firstorder loss process described by a rate constant kw , eq. (6) is modified as shown in eq. (7): kA/kB 5 {ln(Ao /At) 2 (kwt)}/ln(Bo /Bt) (7) A plot of ln(Ao /At) 2 (kw t)} vs. ln(Bo /Bt) will give the ratio kA/kB as the slope (see Fig. 1). Typical experimental conditions: 10 ppmV , [CH3ONO] , 30 ppmV, 5 ppmV , [N2O5] , 100 ppmV, 1 ppmV , [A] , 10 ppmV, and 5 ppmV , [B] , 25 ppmV. Pinonaldehyde was introduced into the reaction chamber using a “double filter system” as explained below: Pinonaldehyde is difficult to evaporate, because it has a very low vapor pressure and decomposes easily when heated; thus we added 10 to 20 ml of pinonaldehyde to the first of two filters in series in a Teflon tube and a minor fraction of it was blown into the reaction chamber by a stream of air. The first filter was used to enhance the surface area of the compound and the second filter was used to prevent aerosols from being blown into the reaction chamber. Figure 2 shows an infrared spectrum of pinonaldehyde. The spectrum resembles the infrared spectrum previously published [8], which was tentatively identified as due to pinonaldehyde. 3-Methylbutanal, 3-methylbutan-2-one, cyclobutyl-methylketone, ethene, isoprene, 1,3-butadiene, and 1-butene were added in known quantities to the reaction chamber by standard manometric methods. 36257_5306_p527-533 5/21/97 8:06 AM 36257 Page 529 (Black plate) Journal of Chemical Kinetics (Wiley-Interscience) art 5306 2/13/96 jr 5/7/97 bw GAS-PHASE REACTIONS OF PINONALDEHYDE 529 mercial samples of p.a. quality and were used without further purification: 3-Methylbutanal (97% pure, Aldrich), 3-methylbutan-2-one (99% pure, Aldrich), cyclobutyl-methylketone (98% pure, Aldrich), ethene ( $ 99.5% pure, Air Liquide), isoprene (99% pure, Aldrich), 1,3-butadiene (99.5% pure, Ucar), and 1butene (99.9% pure, Ucar). (a) RESULTS AND DISCUSSION (b) Figure 2 (a), (b) Infrared spectrum of pinonaldehyde from 700 to 3500 cm21, with spectral features at 1178, 1379, 1726, 1740, 2713, 2812, 2889, 2933, and 2962 cm21. The spectral features from CO2 have been removed. Chemicals Pinonaldehyde was synthesized in small batches by oxidative bond cleavage of pinandiol (99% pure, Aldrich). A solution of 0.46 g of HIO4 ?2H2O in 40 mL H2O was brought to pH 5 4 – 5 by adding Na2HPO4 and subsequently added in small portions to a solution of 0.34 g of pinandiol in 6 mL tetrahydrofuran (THF) and 6 mL of H2O. The mixture was left standing for two days, then the THF was removed and the solution extracted with methyl-tertbutylether. Pinonaldehyde was finally obtained by evaporation of the methyl-tert-butylether. For the purpose of this investigation no further purification was necessary. The MS data obtained here for pinonaldehyde were in accordance with those of ref. [12].: EI-MS m/z 168(M1, 0), 109(11), 98(29), 97(24), 83(100), 71(35), 69(80), and 55(56); CI-MS (methane) m/z 169(M 1 H1, 7), 151(46), 107(40), 99(40), and 71(100). 2,2,3-trimethylcyclobutyl-1-ethanone was prepared as previously described [12] starting from pinonaldehyde synthesized as described above. EI-MS m/z 140(M1, 2), 125(10), 83(82), 71(18), 70(92), and 55(100); CI-MS (methane) m/z 141(M 1 H1, 22), 123(8), 111(12), 99(22), and 71(100). Other chemicals used in this study were all com- In this investigation we have determined the rate constants for the reactions of OH, NO3 , and O3 with pinonaldehyde and the structurally related compounds 3-methylbutanal, 3-methylbutan-2-one, cyclobutyl-methylketone, and 2,2,3-trimethylcyclobutyl-1-ethanone. In purified air pinonaldehyde showed a first-order decay in our reaction chamber, which was attributed to wall loss. This wall loss varied somewhat with the condition or “history” of the cell and with temperature. On the average, the rate constant for the wall loss first-order decay of pinonaldehyde was kwall-loss 5 (2.9 6 0.3) 3 1025 s21 (uncertainty with 2 s). With the external photolysis lamps turned on, l $ 300 nm, the decay of pinonaldehyde was enhanced. The average photolysis and wall loss constant of pinonaldehyde in our system, JUV/VIS 1 kwall , was found to be between 1 3 1024 s21 and 2 3 1024 s21 (when UV-light $ 300 nm was used), which correspond to up to 25% of the overall decay of pinonaldehyde during an experiment with OH radicals. The reference compounds and the other compounds studied were all very stable in the cell with kwall-loss , 1 3 1025 s21, even with the photolysis lamps turned on. The analysis of a relative rate measurement of the OH reaction with a pinonaldehyde/1,3-butadiene mixture is presented in Figure 1. In the example shown the relative concentration measurements were obtained by spectral subtraction using the C — Hald stretch band of pinonaldehyde at 2650 – 2750 cm21 and the " C — H bend band of 1,3-butadiene at 850 – 950 cm21. The data were analyzed assuming additional first-order loss of pinonaldehyde to the cell walls and first-order photolytical degradation as discussed above. In the spectral subtraction we also included the spectral features from the products formaldehyde and acrolein. Table I lists the bands that have been used in spectral subtraction for the individual compounds. The rate constants for the reactions of OH, NO3 , and O3 with the different organics are presented in Table II. The rate constant for the reaction between 36257_5306_p527-533 36257 5/21/97 8:06 AM Page 530 Journal of Chemical Kinetics 530 (Black plate) (Wiley-Interscience) art 5306 2/13/96 jr 5/7/97 bw GLASIUS ET AL. Table I Bands used for Spectral Subtraction Band (cm21) Pinonaldehyde 2,2,3-Trimethylcyclobutyl-1-ethanone 3-Methylbutanal 3-Methylbutan-2-one Cyclobutyl-methylketone Isoprene 1,3-Butadiene 1-Butene Ethene Vibration 2650 – 2750 1150 – 1210 2600 – 2850 1070 – 1170 1125 – 1225 3050 – 3150 850 – 950 3050 – 3150 850 – 1050 C — Hald. C—C C — Hald. C — Hald. C—C C — Halk. "C—H C — Halk. "C—H stretch stretch stretch stretch stretch stretch out-of plane bend stretch out-of plane bend Interfering bands from products produced in the experiments, such as formaldehyde, metacrolein, and acrolein, have been taken into account by spectral subtraction. pinonaldehyde and OH was obtained from two series of experiments using isoprene with kOH 5 1.01 3 10210 cm3 molecule21 s21 at 298 K [13] and 1,3-butadiene with kOH 5 6.66 3 10211 cm3 molecule21 s21 at 298 K [13] as reference compounds, respectively. There is no significant difference between the rate constants obtained using the two different reference compounds and only the average value is given in Table I. The influence of a possible variation in the wall and photolysis loss of pinonaldehyde during the experiments was estimated by letting JUV/VIS 1 kwall loss for pinonaldehyde vary within its statistical 95% confidence interval; the resulting variation was less than 10% of the average rate constant. Typical plots for pinonaldehyde 1 NO3 and for pinonaldehyde 1 O3 are shown by Figures 3 and 4, respectively. These plots are corrected for wall loss, but in Figure 4 it can be seen that the slope does not intercept with {0 ; 0}. It is tentatively suggested that an additional surface reaction with ozone may be the reason. The rate constant for the OH reaction with 3methyl-butanal has previously been measured as (2.7 6 0.1) 3 10211 cm3 molecule21 s21 [14] (see Table III) with the use of GC-FID as their analytical technique. As can be seen the value reported here of (4.0 6 0.7) 3 10211 cm3 molecule21 s21 obtained using isoprene with kOH 5 1.01 3 10210 cm3 molecule21 s21 [13] as the reference compound is significantly larger. No explanation for this discrepancy between the two values can be given at this time. It was not possible to find any IR bands unique to the organic reactants in the spectra obtained from the OH reaction with 2,2,3-trimethylcyclobutyl-1ethanone, cyclobutyl-methyl-ketone and 3-methylbutan-2-one. Changes in the IR band shapes showed Table II Rate Constants Determined at 740 6 5 torr and 300 6 5 K (Units in cm3 molecule21 s 21) in this Investigation R e a c t a n t OH NO3 O3 CO CO CO CHO CO CHO Pinonaldehyde 3-Methylbutanal 9.1 6 1.8 3 10211a 5.4 6 1.8 3 10214 8.9 6 1.4 3 10220 4.0 6 0.7 3 10211 1.2 6 0.3 3 10214 3.9 6 0.6 3 10220 2,2,3Trimethylcyclobutyl- Cyclobutylmethyl1-ethanone ketone n.d.b < 5 3 10216 < 5 3 10221 n.d. < 5 3 10216 < 5 3 10221 3-Methylbutan2-one n.d. < 5 3 10216 6.3 6 1.3 3 10221 The uncertainties are given as 2 times the standard deviation. a For this reaction two reference compounds were used and we obtained the following results: When isoprene was used as reference compound the ratio (0.896 6 0.260 ) was obtained, corresponding to k pinonaldehyde1OH 5 (9.05 6 2.62) 3 10211 cm3 molecule21 s21 (kisoprene1OH 5 1.01 3 10210 cm3 molecule21 s 21 [13]) and with 1, 3-butadiene as reference compound the ratio (1.37 6 0.19) was obtained, corresponding to (kpinonaldehyde1OH 5 (9.18 6 1.25) 3 1021 cm3 molecule21 s21 (k1,3-butadiene1OH 5 6.66 3 10211 cm3 molecule21 s21 [13]). b n.d.: Not determined, see text. 36257_5306_p527-533 5/21/97 8:06 AM 36257 Page 531 (Black plate) Journal of Chemical Kinetics (Wiley-Interscience) art 5306 2/13/96 jr 5/7/97 bw GAS-PHASE REACTIONS OF PINONALDEHYDE Figure 3 Plot of ln{[pinonaldehyde]o /[pinonaldehyde]t}, corrected for losses (kwt), vs. ln{[1-butene]o /[1-butene]t for the decay of pinonaldehyde and 1-butene during reactions with the NO3 radical. that the compounds reacted, but it was not possible to determine the corresponding rate constants. The reactions of O3 and NO3 with 2,2,3-trimethylcyclobutyl-1-ethanone and cyclobutyl-methylketone are all very slow and only conservative upper estimates for these rate constants are presented. Reference values for the NO3 reactions used in these investigations were: k(NO3 1 1-Butene) 5 1.25 3 10214 cm3 molecule21 s21 [15] and k(NO3 1 Ethene) 5 2.0 3 10216 cm3 molecule21 s21 [15]. The values presented here for the reaction of NO3 with pinonaldehyde and 3-methylbutanal, 5.4 and 1.2 3 10214 cm3 molecule21 s21, respectively, are one to two orders of magnitude higher than the values for formaldehyde and acetaldehyde, 6.8 3 10216 and 2.8 3 10215 cm3 molecule21 s21, respectively. Taking into account the rate constants for higher homo- 531 logues of acetaldehyde [16] our values lie well within the trend of increasing rate constants by increasing carbon atom number. The present knowledge about the mechanism of the NO3 radical reaction with aldehydes gives no satisfactory explanation for this trend. The reaction between ozone and 3-methyl-butan2-one is somewhat faster than those of ozone with 2,2,3-trimethylcyclobutyl-1-ethanone and cyclobutylmethylketone, and the observed loss of organic is apparently reasonably well correlated with the ozone concentration in the reaction chamber. It has been suggested that the reactivity of the OH radical towards organics, including the oxygenated hydrocarbons presently studied, may be estimated from a simple structure-reactivity relationship [17]. This incremental reactivity method predicts a rate constant for the OH reaction of 2.4 3 10211 cm3 molecule21 s21 for both pinonaldehyde and 3methylbutanal, which is significantly lower than our values of 9.1 and 4.0 3 10211 cm3 molecule21 s21, respectively (see Table III). The rate constants for the OH reaction with the three ketones investigated are estimated by the same method to range between 1.5 and 3 3 10212 cm3 molecule21 s21, i.e., an order of magnitude lower than for pinonaldehyde and 3methylbutanal. All of the structure elements in pinonaldehyde and 3-methylbutanal are included in the database used in the derivation of the structure-reactivity relationship [17]. The incremental reactivity method is claimed to be reliable within a factor of 2 for ca. 90% of organic compounds belonging to the classes used in the database development, but pinonaldehyde may very well belong to the 10% “ill-behaving” molecules. Table III also includes the predicted OH rate constants for a structure-reactivity method based upon molecular orbital calculations [18 – 20]: The values for the aldehydes, 2.6 3 10211 and 2.2 3 10211 cm3 molecule21 s21 for pinonaldehyde and 3-methylbutanal, respectively, are similar to those calculated by the incremental reactivity method, showing however, a trend towards a faster reaction for pinonaldehyde. For the ketone, 2,2,3trimethylcyclobutyl-1-ethanone, a rate constant of 1.4 3 10211 cm3 molecule21 s21 is predicted, which is about one order of magnitude higher than the rate constant obtained by the incremental reactivity method. CONCLUSIONS AND ATMOSPHERIC IMPLICATIONS Figure 4 Plot of k9 vs. [O3] for the reaction between pinonaldehyde and O3 . This study shows that the chemical lifetime of pinonaldehyde in the atmosphere is essentially determined 36257_5306_p527-533 36257 5/21/97 8:06 AM Page 532 Journal of Chemical Kinetics 532 (Black plate) (Wiley-Interscience) art 5306 2/13/96 jr 5/7/97 bw GLASIUS ET AL. Table III Measured and Estimated OH Reaction Rate Constants (Units in cm3 molecule21 s 21) CO CO CHO This work (Experimental) Kwok and Atkinson [17] (Estimated) Klamt [18 – 20] (Estimated) Kerr and Sheppard [14] (Experimental) a CHO (9.1 6 1.8) 3 10211 (4.0 6 0.7) 3 10211 n.d.a 2.4 3 10211 2.4 3 10211 2.4 3 10212 2.6 3 10211 2.2 3 10211 1.4 3 10211 n.d.a (2.7 6 0.1) 3 10211 n.d.a n.d.: Not determined, see text. by the reaction with the OH radical. The reaction with the NO3 radical is only of minor importance even in polluted areas, whereas the reaction with O3 is of no importance. The present results indicate an atmospheric chemical lifetime of pinonaldehyde of about two hours, assuming [OH] 5 1.6 3 106 molecules cm23 [21]. It is concluded from the results shown in Table II and from the estimates of the OH radical reaction rates in Table III, that the reactivity of pinonaldehyde with the NO3 radical and with O3 is mainly linked to the aldehyde group, because the reactions rates of structurally similar compounds without the aldehyde group are significantly slower as shown by Table II. For the reactions of pinonaldehyde with OH radicals other sites like the two tertiary H-atoms could be of importance, see Table III under Klamt [18 – 20], who does not calculate a significant difference between the rates of the reaction of pinonaldehyde with OH and that of the structurally similar compound with OH. To our knowledge, pinonaldehyde has only been tentatively identified at low pptV levels in ambient air [22]. This is somewhat puzzling considering that laboratory studies have shown pinonaldehyde to be a major product from oxidation of a-pinene [5 – 8]. Hence, we have estimated the daytime steady-state concentration of pinonaldehyde in the atmosphere using k(OH+pinonaldehyde) obtained in this study, and assuming that photolysis and heterogeneous losses are unimportant sinks. Pinonaldehyde is formed by the oxidation of a-pinene by OH radicals with a yield of approximately 60% in an NOx-containing atmosphere [7]. The yield of pinonaldehyde from the ozonolysis of a-pinene is not known so we consider the two extreme cases where the yield is 0% and 100%, respectively. By equating sources and sink terms of pinonaldehyde (i.e., applying the steady-state assumption) and using k(OH 1 a-pinene) 5 5.37 3 10211 cm3 molecule21 s21 [13], k(O3 1 a-pinene) 5 8.5 3 10217 cm3 molecule21 s21 [23], [OH] 5 1.6 3 106 molecules cm23, and O3 5 1.2 3 1012 molecules cm23 (50 ppbV), ratios of [pinonaldehyde] : [a-pinene] of 0.35 and 1.05, respectively, are obtained. This means that under typical ambient conditions, pinonaldehyde should be detected at low ppbV levels and not at low pptV levels [22]. From the simple estimate given, we conclude that other effective atmospheric sinks for pinonaldehyde, like heterogenic losses or photolytic degradation, probably exist. It should be mentioned that other terpenes in the atmosphere are also oxidized to keto-aldehydes like pinonaldehyde [8,24] and therefore the fate of pinonaldehyde may give an indication of the fate of other keto-aldehydes in the troposphere. Further work on the atmospheric lifetime and fate for other terpene oxidation products is in progress. A. C. would like to thank the European Commission for a Ph.D. grant. C. J. N. acknowledges financial support from the Department of Chemistry, University of Oslo (N), during his stay at the JRC, EI. The authors would like to thank Prof. C. Lohse and Dr. D. Kotzias for helpful scientific discussions. The authors gratefully acknowledge the help of G. Ottobrini with the experimental work. BIBLIOGRAPHY 1. I. S. A. Isaksen and Ø. Hov, Tellus, 39b, 271(1987). 2. A. Guenther, C. N. Hewitt, D. Erickson, R. Fall, C. 36257_5306_p527-533 5/21/97 8:06 AM 36257 Page 533 (Black plate) Journal of Chemical Kinetics (Wiley-Interscience) art 5306 2/13/96 jr 5/7/97 bw GAS-PHASE REACTIONS OF PINONALDEHYDE 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Geron, T. Graedel, P. Harley, L. Klinger, M. Lerdau, W. A. McKay, T. Pierce, B. Scholes, R. Steinbrecher, R. Tallamraju, J. Taylor, and P. Zimmerman, J. Geophys. 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Environ., 31, 283(1997). 36257_5306_p527-533 36257 5/21/97 8:06 AM Page 534 Journal of Chemical Kinetics (Black plate) (Wiley-Interscience) art 5306 2/13/96 jr 5/7/97 bw 534 Blank