Atmospheric Environment 35 (2001) 4113–4123 Atmospheric degradation and global warming potentials of three perfluoroalkenes G. Acerbonia, J.A. Beukesb, N.R. Jensena,*, J. Hjortha, G. Myhrec, C.J. Nielsenb, J.K. Sundetc a European Commission, Joint Research Centre, Environment Institute, TP 272, I-21020 Ispra (VA), Italy b University of Oslo, P.O. Box 1033, Blindern, N-0315 Oslo, Norway c Department of Geophysics, University of Oslo, P.O. Box 1022, Blindern N-0315 Oslo, Norway Received 20 December 2000; accepted 26 March 2001 Abstract The vapour phase reactions of perfluoropropene, CF3aCF ¼ CF2, and perfluorobuta-1,3-diene, CF2 ¼ CFaCF ¼ CF2, with OH, NO3 and O3 were studied at 29874 K and 74075 Torr using long-path FT-IR detection. The reactions with ozone are very slow, kCF3 CFCF2 þO3 ¼ ð6:271:5Þ10@22 and kCF2 CFCFCF2 þO3 ¼ ð6:570:2Þ10@21 cm3 molecules@1 s@1, and upper limits of 3 10@15 cm3 molecules@1 s@1 are reported for the NO3 reaction rate coefficients. The OH reaction rate coefficients were determined as kCF3 CFCF2 þOH ¼ ð2:670:7Þ10@12 and kCF2 CFCFCF2 þOH ¼ ð1:170:3Þ10@11 cm3 molecules@1 s@1; perfluoropropene gave a nearly quantitative yield of CF3CFO and CF2O as organic products, while perfluorobuta-1,3-diene gave from 130% to 170% of CF2O. A chemistry transport model was applied to calculate the atmospheric distributions and lifetimes of the perfluoroalkenes; the global and yearly averaged lifetimes were calculated as 1.9 day for C2F4 and C4F6 and 6 days for C3F6. Quantitative infrared cross-sections of perfluoroethene, perfluoropropene, and perfluorobuta-1,3-diene have been obtained at 298 K in the region 100–2600 cm@1. Radiative forcing calculations have been performed for these gases assuming either constant vertical profiles or the distribution derived from the chemistry transport model. The results show that the Global Warming Potentials are totally negligible for these compounds. r 2001 Elsevier Science Ltd. All rights reserved. Keywords: Infrared absorption cross sections; Radiative forcing; OH radical; Atmospheric lifetimes; Global modelling; Perfluoroalkenes 1. Introduction The Montreal Protocol and amendments (Montreal Protocol, 1987) led to the phase out of a series of clorofluorocarbons (CFCs), in industrialised countries, mainly because of their ozone depletion in the stratosphere, but also because of their high Global Warming Potentials (GWPs) (Zurer, 1993; IPCC, 1994). An *Corresponding author. Tel.: +39-0332-789225; fax: +390332-785837. E-mail address: niels.jensen@jrc.it (N.R. Jensen). intensive investigation of potential CFC replacements, mainly organic compounds containing hydrogen, fluorine or chlorine atoms was therefore initiated about 10 years ago, in order to estimate their ozone depletion potentials and their GWPs (Fisher et al., 1990; Clerbaux et al., 1993; Ravishankara et al., 1993, 1994; Pinnock et al., 1995; Christidis et al., 1997; Myhre et al., 1999; Highwood and Shine, 2000). Perfluorocarbons (PFCs), were for a period considered as an acceptable class of alternative compounds to replace CFCs in some applications, because it was estimated that their ozone depletion potential is 1352-2310/01/$ - see front matter r 2001 Elsevier Science Ltd. All rights reserved. PII: S 1 3 5 2 - 2 3 1 0 ( 0 1 ) 0 0 2 0 9 - 6 4114 G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 negligible compared to CFC-11 (Ravishankara et al., 1994). However, saturated PFCs, such as CF4 and C2F6, are very stable in the atmosphere, with lifetimes at the order of several thousand years (Ravishankara et al., 1993), indicating higher GWP values compared to CFC11 (IPCC, 1994). Unsaturated PFCs, such as C2F4 and C3F6, also have IR absorption bands in the spectral regions where radiative forcing is most efficient, but they react relatively fast with OH radicals (McIlroy and Tully, 1993; Orkin et al., 1997; Acerboni et al., 1999; Mashino et al., 2000). Typical atmospheric lifetimes are of the order of days, which suggests that their GWP values are low. Perfluoroalkenes are widely used as water repellents (as polymers) and as building blocks in the production of perfluorinated polymers. The global annual production of perfluoroalkenes is significant, and is estimated to be approximately 50, 20 and 0.01 Tg yr@1, for C2F4, C3F6 and C4F6, respectively (Marchionni, 2000). However, the amount actually emitted into the atmosphere is unknown. The aim of this investigation is to calculate the GWPs for C2F4, C3F6 and C4F6, and to this purpose infrared absorption cross sections and reaction rate constants have been determined. Further, degradation products of these fluorinated alkenes have been measured in order to contribute to the understanding of possible environmental impact of these compounds. Perfluoroalkenes react relatively fast in the atmosphere, indicating that these components are not homogeneously distributed in the troposphere. In previous radiative forcing and GWP studies of CFCs and CFC replacements it has been assumed that the gases have a homogeneous mixing ratio in the troposphere as the lifetime of such gases are typically many years. For gases with a short lifetime the abundance will decrease strongly with altitude. Greenhouse gases are most efficient in longwave radiation trapping around the tropospause level, and therefore the calculated radiative forcing (and furthermore also the GWP) will be reduced substantially for short-lived components, compared to results assuming a homogeneous mixing ratio in the atmosphere. Only limited information of atmospheric relevance is available on perfluoroalkenes: Heicklen (1966) used infrared spectroscopy to study the gas phase reaction between C2F4 and O3 at room temperature and 1– 24 Torr total pressure; carbonyl fluoride, CF2O, was the only oxidation product found. Toby and Toby (1976) also studied the gas phase reaction between C2F4 and O3 in the temperature range from 273 to 383 K and in the pressure range from 0.3 to 15 Torr using gas chromatography. Acerboni et al. (1999) used Fourier Transform Infrared Spectroscopy (FTIR) to study the reaction of C2F4 with OH and NO3 radicals and with O3 at 298 K and 740 Torr total pressure in a static reactor. They found CF2O as the only fluorine containing product with molar yields of 8575%, 135725% and 19274% for the OH, NO3 and O3 reactions, respectively. For the reaction between C2F4 and O3 there is a large discrepancy between the reaction rate coefficients obtained in the three previous studies; only in the investigation by Acerboni et al. (1999) was an OH radical scavenger, cyclohexane, added to the reaction system. Orkin et al. (1997) used a flow system with a flash photolysis resonance fluorescence technique to study the reactions of C2F4 and C3F6 with OH; for C2F4 the reaction was studied at 298 K and 100 Torr total pressure, for C3F6 the reaction was studied in the temperature range from 287 to 370 K. McIlroy and Tully (1993) used a slow-flow system with pulsed-laser photolysis/laser-induced fluorescence technique to study the reaction between C3F6 and the OH radical in the temperature range from 293 to 831 K and 750 Torr total pressure. Mashino et al. (2000) used a static system, equipped with FTIR detection, to study the reaction between C3F6 and the OH radical at 700 Torr and 296 K; CF2O and CF3CFO were observed as reaction products with molar yields of 9877% and 9076%, respectively. They also determined upper limits for the O3 reaction with C3F6. To the knowledge of the authors no kinetic or product data are available for C4F6 reactions of atmospheric relevance in the literature. 2. Experimental details and model description 2.1. Kinetic measurements and product study The kinetic measurements and product studies were performed in purified air at 74075 Torr total pressure and 29874 K in a 480 l Teflon coated reaction chamber. The chamber is surrounded by 18 UV/VIS lamps (black lamps, lX300 nm) and equipped with a multiple reflection mirror system, with a total optical pathlength of 81.23 m, for on-line FTIR. A detailed description of the experimental set-up has been published previously (Jensen et al., 1991). Typical initial volume fractions were: C3F6, 2–5 ppmV; C4F6, 3–5 ppmV; reference compounds, 8–25 ppmV; CH3ONO, 10–30 ppmV; NO, 8–15 ppmV; N2O5, 10–25 ppmV; O3, 25–600 ppmV; Cyclohexane, 20–60 ppmV. The infrared spectra were obtained in the region 600– 4000 cm@1 with a Bruker IFS 113v at a nominal resolution of 1 cm@1 by co-adding 50 scans. The following IR bands were used for spectral subtraction: 1142–1253 and 1357–1424 cm@1 for C3F6 , 1121– 1148 cm@1 for C4F6, 2985–2990 and 907–915 cm@1 for ethene, 942–954 cm@1 for propene and 1453–1460 and 2840–2895 cm@1 for cyclohexane. G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 2.2. Infrared cross sections Infrared spectra of the pure gases at room temperature were recorded in the region 100–2600 cm@1 using a Bruker IFS 113v employing a nominal resolution of 1 cm@1 (boxcar apodization). KBr and Mylars beamsplitters of various thicknesses were used to cover the spectral region. To ensure optical linearity, only DTGS detectors were used. Cells of 2.28 and 19 cm length equipped with windows of CsI and high density polyethylene were employed, respectively. The partial pressures of the gasses in the cells were from 4 to 70 mbar and were measured using MKS Baratron pressure transducers. The cross sections were obtained from the absorbance spectra assuming that the gas was ideal and applying a baseline correction. The latter was performed by subtracting a polynomial function, obtained by fitting the regions of the spectrum were no absorption where expected. 2.3. Chemicals The compounds used in this investigation had the following purities: C3F6 (>99.9% pure, Ausimont), C4F6 (99% pure, Ausimont), ethene (>99.5% pure, AirLiquide), propene (>99.5% pure, Ucar), cyclohexane (99.5% pure, Carlo Erba), CF2O (97% pure, Matheson), synthetic air (80% N2 and 20% O2: X99.95% pure, SIO) and O2 (X99.9% pure, SIO). Hydroxyl radicals were generated from in-situ photolysis of methylnitrite (CH3ONO) in the presence of NO by using UV/VIS lamps (lX300 nm). NO3 radicals were produced by mixing O3 with an excess of NO2, to establish equilibrium between NO3, NO2 and N2O5. Ozone was prepared by silent discharge of pure oxygen. CH3ONO was synthesised by adding H2SO4 (50 wt% aqueous solution) to sodium nitrite dissolved in a methanol/water mixture as described in detail elsewhere (Taylor et al., 1980). 2.4. Chemical transport model The Oslo CTM2 is an off-line chemical transport/ tracer model (CTM) that use pre calculated transport and physical fields to simulate chemical turnover and distribution in the atmosphere. The model is valid for the global troposphere and is three-dimensional (3-D) with the model domain reaching from the ground up to 10 hPa and with a T21 (5.61 5.61) horizontal resolution. Advection is done using the second order moment (Prather, 1986), convection is based on the Tiedtke mass flux scheme (Tiedtke, 1989), where vertical transport of species is determined by the surplus/deficit of mass flux in a column. The chemical scheme is based upon the QSSA approach (Hesstvedt et al., 1978; Berntsen and 4115 Isaksen, 1997). Photodissociation is done on-line following Wild et al. (2000). Emissions are based upon GEIA . and EDGAR for natural emissions and Muller (1992) for anthropogenic emissions. Deposition is based upon Wesley (1989) and the boundary layer is treated according to the Holtslag K-profile scheme (Holtslag et al., 1990). Influence of stratospheric ozone is estimated using a synthetic ozone approach (McLinden et al., 2000) where ozone flux in the stratosphere is prescribed and the model transport generates an ozone distribution that varies with time and space. Wet removal is done using the 3-D rainfall that is available in the model data. For water-soluble compounds the Henry constant is used to estimate the amount of tracer in cloud water and gas phase. The fraction of cloud water that is rained out then determines the fraction of compound that is removed from the grid box. The model is shown to simulate the seasonal variations of O3 and CO at a number of stations both in the Northern and Southern Hemisphere well (Sundet, 1997; Jonson et al., 2001). Transport of ozone done in the TOPOZ-2 project also show that the model does a good job in describing the transport in the upper troposphere and lower stratosphere compared to MOZAIC data. 2.5. Radiative transfer model An emissivity/absorptivity thermal infrared broad band model is used in the radiative forcing calculations. The model includes all the major gases absorbing in the thermal infrared region and includes altogether around 50 absorption bands (Myhre and Stordal, 1997). The broad band model is compared to the GENLN2 line-byline model (Edwards, 1992) with radiative forcing due to CFCs and CFC replacements generally within 5% (Myhre et al., 1998, 1999). A 101 101 horizontal resolution is used in the radiative transfer calculations. Climatological values of water vapour, temperature, and clouds are used (Myhre and Stordal, 1997; Myhre et al., 1999). The three gases are included with 2, 5, and 5 bands for C2F4, C3F6, and C4F6, respectively. The annual mean latitudinal and height distribution as calculated with the CTM is used for the species. Calculations are performed for a surface abundance of 0.1 ppbV and then scaled linearly to 1 ppbV to ensure weak line limit, in accordance with previous similar studies (e.g. Pinnock et al., 1995; Myhre and Stordal, 1997) 3. Results and discussion 3.1. Kinetic study and degradation products To determine the atmospheric chemical lifetime for perfluoroalkenes, we have investigated the rate constants 4116 G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 of the reactions of C3F6 and C4F6 with OH and NO3 radicals as well as O3: þ 9 > = CF2 ¼ CF2CF ¼ CF2 CF3 CF ¼ CF2 CF2 ¼ CF2 > ; ð1Þ ð2Þ ð3Þ OH NO3 O3 - Products The OH and NO3 reaction rate coefficients were determined by the ‘‘relative rate’’ method while the O3 reaction rate was measured under ‘‘pseudo-first-order’’ conditions. Using the ‘‘relative rate’’ method, the ratio of the rate constants kA =kB is found as the slope of a plot of lnðA0 =At Þ@kwA t versus lnðB0 =Bt Þ@kwB t, where A0 and B0 are the initial concentrations, At and Bt are the concentrations at time t. kwA and kwB are rate constants describing additional first-order loss processes, if any such are present, for A and B, respectively (see e.g. Fig. 1). The pseudo-first-order method: Loss of C3F6 and C4F6 in an excess of O3 was measured to obtain a pseudo-first-order decay rate constant k0 ð¼ k½O3 Þ from the plot of ln[C3F6]t and ln[C4F6]] versus time t. A plot of measured k0 -values versus [O3] then yield the bimolecular rate constant, k, as the slope. In the O3 experiments large amounts of cyclohexane (20– 60 ppmV) were added to scavenge OH radicals or other radicals and atoms which may be formed by secondary chemistry. In purified air, C3F6 and C4F6 showed a first-order decay, kw , in the reaction chamber with the UV/VISlamps turned on (lX300 nm), but without the presence of CH3ONO; this additional loss process was attributed to wall loss and losses due to photolytical generation of radicals: kw was measured to be 1.2 10@5 and 1.0 10@5 s@1 for C3F6 and C4F6, respectively. For the reference compounds: kw was measured to be 1.2 10@5, 1.1 10@5 and 5.7 10@6 s@1 for C2H4, C3H6 and cyclohexane, respectively. Without UV/VIS lamps on, none of the compounds showed any significant loss and a value o2 10@6 s@1 was assumed for kw . That is, these additional losses are relatively small for the duration of an experiment (10– 60 min). The additional loss processes (wall loss+photolysis) were in no case responsible for more than 20% of the overall decay during the experiments. The values of the OH and NO3 reaction rate constants and their uncertainties were calculated in the following way: first, rate constants and s values were obtained from four individual experiments for each of the reference compounds, then the uncertainty of the rate constant of the reference compound was incorporated by using standard propagation of error. Two or three reference compounds were used, so the value of the rate constant was calculated as the mean of different values weighted by their standard deviations. The uncertainty is given as 2s, where s is the weighted average of the standard deviation obtained in the series of experiments. The uncertainty of the O3 rate constant was determined by taking to 2s of the slope k0 versus [O3]. Fig. 1 shows a typical example of the relative loss of C4F6 and C2H4 due to the presence of OH radicals. As shown in Table 1, an average value of kOHþC4 F6 ¼ ð1:170:3Þ10@11 cm3 molecules@1 s@1 was determined. This rate constant has not been reported before, Fig. 1. Plot of ln{[CF2CFCFCF2]0/[CF2CFCFCF2]t} corrected for wall-losses and photolysis versus ln[ethene]0/[{[ethene]t} for the decay of CF2CFCFCF2 and ethene during the photolysis of methylnitrite producing OH radicals. kw =losses on the wall and/or photolysis. 4117 G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 but it compares well with the rate coefficient of the C2F4 reaction with OH (Orkin et al., 1997; Acerboni et al., 1999), Table 1. For the reaction between C3F6 and the OH radical, our value of k2 =(2.670.7) 10@12 cm3 molecules@1 s@1 is slightly higher than the value determined by McIlroy and Tully (1993); Orkin et al. (1997) and Mashino et al. (2000), but all of the measurements are within the uncertainty ranges (see Table 1). For reactions 1 and 2, carbonyl fluoride was the main end product identified with molar yields of 132–170% and 90–100%, respectively; for reaction 2, CF3C(O)F was also identified as a product, with a molar yield of about 100%. In addition, spectral features around 790, 1300 and 1720 cm@1 were observed in the product spectrum from all three reactions, indicating the presence of peroxynitrate compounds (Niki et al., 1986). We have tentatively attributed these bands to compounds with the structure RaCF2O2NO2. These peroxynitrate compounds were not available to us and therefore we cannot measure their concentrations, but some of the missing carbon in the carbon balance is within that product. For reaction 3, CF2O, was identified as the main product with a molar yield of 110–160% (Acerboni et al., 1999). The reactions of CF3CFCF2 and CF2CFCFCF2 with O3 were found to be very slow with reaction rate coefficients of (6.271.5) 10@22 and (6.570.2) 10@21 cm3 molecules@1 s@1, respectively. These low values are in good agreement with Mashino et al. (2000), who obtained an upper value of 3 10@21 cm3 molecules@1 s@1 for the reaction between C3F6 and O3. Also the NO3 reactions were very slow and only upper limits are given here: kC3 F6 þNO3 o310@15 and kC4 F6 þNO3 o310@15 cm3 molecules@1 s@1. A rough estimate of the atmospheric lifetimes of the three perfluoroalkenes is readily obtained on the basis of their reactions with OH, NO3 and O3. The chemical lifetime with respect to OH is for all three compounds a few days, assuming an [OH] of 1 106 molecules cm@3 (Prinn et al., 1995). With respect to NO3 the lifetimes are all more than 5 months, assuming [NO3]=2.5 107 molecules cm@3 (Noxon, 1983; Platt and Heintz, 1994). Finally, for a 24-h average ozone concentration of 7.4 1011 molecules cm@3 (Logan, 1985), the lifetimes are of the order of several years. 3.2. Infrared absorption cross section The infrared spectra of C2F4, C3F6 and C4F6 are shown in Fig. 2. The integrated absorption cross sections (base e) for all three compounds are also included in the legends. The quality of our cross section data has been investigated by comparing with the earlier Table 1 Reaction rate constants at 298 K and Arrhenius parameters for the reaction of perfluoro alkenes with OH radicals. All values are given with 2s uncertainties Compound k298/10@12 cm3 molecules@1 s@1 C2F4 11.373.3 10.270.5 2.470.3a 3.571.3b 2.670.7c 2.470.3 2.270.1 2.170.1 10.371.4d 12.473.3e 13.472.8f 11.373.0c C3F6 C4F6 A/10@13 cm3 molecules@1 s@1 (5.771.5) (9.970.6) E=R=K @(407785) @(244722) Reference Acerboni et al. (1999) McIlroy and Tully, 1993 This work This work This work Mashino et al. (2000) Orkin et al. (1997) McIlroy and Tully, 1993 This work This work This work This work a Measured relative to ethene using kOH+ethene=(7.771.0) 10@12 cm3 molecules@1 s@1, where a rate constant ratio of (0.315170.0552) was found. b Measured relative to propene using kOH+propene=(3.070.8) 10@11 cm3 molecules@1 s@1, where a rate constant ratio of (0.115370.0321) was found. c Average value, see text. d Measured relative to ethene using kOH+ethene=(7.771.0) 10@12 cm3 molecules@1 s@1, where a rate constant ratio of (1.339470.0253) was found. e Measured relative to propene kOH+propene=(3.070.8) 10@11 cm3 molecules@1 s@1, where a rate constant ratio of (0.411670.0116) was found. f Measured relative to cyclohexane kOH+cyclohexane=(7.271.5) 10@12 cm3 molecules@1 s@1, where a rate constant ratio of (1.862370.0249) was found. General comment: The reference k-values for the OH-kinetics have been taken from Atkinson et al. (1992) and Atkinson and Aschmann (1992). 4118 G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 Fig. 2. Quantitative vapour-phase infrared spectra of C2F4, C3F6 and C4F6 100–2500 cm@1 at 298 K. The absorption cross section is given in units of 10@17 cm2 molecules@1 (base e). Estimated uncertainty 710%, see text. Integrated absorption cross sections: C2F4 in the 1080–1400 cm@1 region, (1.2970.13) 10@16 cm molecules@1; C3F6 in the 970–1850 cm@1 region, (2.3570.24) 10@16 cm molecules@1; C4F6 in the 900–1850 cm@1 region, (2.1870.22) 10@16 cm molecules@1 (base e). well-studied CClF2H, HCFC-22 (Ballard et al., 2000). The integrated cross sections obtained with our Bruker 113v is within 8% of the average value reported in this intercomparison. This, in turn, suggests that the error in our measurements be in the order of 710%, of which the largest source is unknown. G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 3.3. CTM2 model results The Oslo CTM2 (described in Section 2.4) was used to model the atmospheric distributions of C2F4, C4F6 and C3F6. It is assumed that these are removed by reaction with OH only, and that the subsequent components are unimportant to the chemistry in the model. The reaction rates used in the model integration are those given in Table 1. The surface (boundary) values were fixed to 1 pptV and the model was integrated for 15 months with full chemistry. The last 12 months were used in the analysis of the distributions and lifetimes of the compounds. Due to the very fast reactions of the three perfluoroalkenes with the OH radical and the fact that only a very small negative temperature dependence have been observed, no temperature dependence was included in this study. It should be mentioned that at lower temperature the reaction between the OH radical and the perfluoroalkenes becomes even slightly faster (see Table 1). The global and yearly averaged lifetime for C3F6 was calculated to be 6.0 days with the shortest lifetime at low latitudes. This is seen from the distribution of the compound in Fig. 3. The distribution is a result of the competition between emission and OH-loss, modified by transport. At high latitudes the winter season has low OH and thus the removal is slow, at low latitudes the OH concentration is high year round and the removal of the compound is efficient. In particular the area between 301S and 301N is affected by the high OH concentra- 4119 tions. In the vertical the highest concentration of OH is found in the lower part of the free troposphere in the crossover between JO3 and water vapour. At low latitudes convection is an efficient transport agent that reaches high up in the troposphere, to about 16 km, and is mainly responsible for the elevated C3F6 concentration in the vertical column reaching values of about 0.2 (i.e. 20% of the boundary value is found at about 277 hPa and 301N). Since OH is the only loss reaction for C2F4 and C4F6 the distributions and lifetimes for these compounds will be identical and only the C2F4 result is shown. The zonal and yearly averaged distribution of C2F4 is shown in Fig. 4. The C2F4 lifetime is only 1.9 day. Since OH is the only removal agent for this component, as is the case for C3F6, the same features are seen for C2F4 as for C3F6, but with less C2F4 compound in the troposphere and specifically in the tropospause region. With a different scale in Fig. 4 it would be possible to see the column of elevated compound concentration at low latitudes, with values about 0.05 (i.e. 5% of the fixed surface values). 3.4. Radiative transfer calculations Using the radiative forcing concept as in IPCC (1996), (see also Hansen et al., 1997; Shine and Forster, 1999) we have calculated radiative forcing of the three perfluoroalkenes. The results are shown in Table 2, both for a constant vertical profile in the atmosphere and for the CTM calculated distribution. The radiative Fig. 3. Zonal and yearly averaged C3F6. Vertical scale is pressure, from 984 to 50 hPa and the horizontal scale goes from 901S to 901N latitude. The OH generated tracer hump is clearly seen between 301S and 301N. An area column with elevated tracer concentration is seen around 101N and 400–150 hPa. 4120 G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 Fig. 4. Zonal and yearly averaged C2F4. Vertical scale is pressure, from 984 to 50 hPa and the horizontal scale goes from 901S to 901N latitude. The OH generated tracer hump is clearly seen between 301S and 301N. forcings using the CTM calculated distribution are very small compared to other CFCs and CFC replacements, whereas they are rather similar for a constant vertical profile (Pinnock et al., 1995; Myhre and Stordal, 1997; Good et al., 1998; Myhre et al., 1999; Highwood and Shine, 2000; Jain et al., 2000; Shira et al., 2001). Actually, using the CTM calculated distribution instead of the constant vertical profile reduces the radiative forcing by a factor 8 for C3F6 and around 23 for C2F4 and C4F6. This is considerably higher than for other CFCs and CFC replacements, for which this ratio is usually below 10% (Myhre and Stordal, 1997; Freckleton et al., 1998) and up to 40% found in Jain et al. (2000). A normalised radiative forcing can be defined as the ratio of the radiative forcing and the integrated band strength (in 1017 W molecule m@3). For a constant vertical profile the normalised radiative forcing is rather similar for the three species with values ranging from 1.0 to 1.2 with C2F4 having the lowest and C4F6 the highest values, respectively. Compared to other CFCs and CFC replacements the normalised forcing of the three perfluoroalkenes with a constant vertical profile are low, as for CFC-11 the normalised forcing is about 2.5 and for hydrofluoroethers studied in Myhre et al. (1999) the values were between 1.6 and 1.8. The reason for the lower normalised forcing of the perfluoroalkenes compared to other components is that strong absorption bands of the gases are at high wavenumbers where there is strong overlap with water vapour and the thermal infrared energy is low at these wavenumbers. For further details of the spectral variation in radiative forcing per cross section see Pinnock et al. (1995) and Highwood and Shine (2000). The normalised radiative forcing using the CTM calculated distribution is only approximately 0.15 for C3F6 and around 0.05 for C2F4 and C4F6. Omitting clouds in radiative transfer calculations of halocarbons usually increase their forcing by up to 40% (Myhre and Stordal, 1997; Myhre et al., 1999; Jain et al., 2000) which is similar for the 3 species investigated in this study assuming a constant vertical profile of the gases. However, when the CTM calculated atmospheric distribution is used, omitting clouds increase the radiative forcing by 57–77%. This is because a comparatively larger fraction of the perfluoroalkenes is found below the clouds where the radiative effect is small or negligible. In calculations of radiative forcing due to greenhouse gases stratospheric temperature adjustment is important (see Hansen et al., 1997). The radiative forcing due to the perfluoroalkenes is only slightly reduced by omitting the stratospheric temperature adjustment (up to 1%). In contrast, omitting stratospheric temperature adjustment the radiative forcing due to halocarbons are usually reduced by up to 10% (depending on the spectral overlap with ozone) (Pinnock et al., 1995). This is actually also the case for the perfluoroalkenes when a constant vertical profile is assumed. The small effect of stratospheric temperature adjustment when using the CTM calculated distribution is mainly due to the rapid drop in the mixing ratio 4121 G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 Table 2 Radiative forcing of three perfluoroalkenes assuming the CTM calculated atmospheric distribution and a constant vertical profile Compound CTM distribution/W m@2 ppbv@1 Constant distribution/W m@2 ppbv@1 C2F4 C3F6 C4F6 0.006 0.035 0.013 0.14 0.28 0.28 Table 3 GWP values of perfluoroalkenes relative to CO2 (and CFC-11) for three time horizons. CFC-11 values are in parenthesis Compound Time horizon (yr) 20 C2F4 C3F6 C4F6 100 @5 0.070 (1.1 10 ) 0.86 (1.3 10@4) 0.091 (1.4 10@5) with height and, thus, a very low concentration in the stratosphere which will give a negligible heating of the lower stratosphere compared to other halocarbons. 3.5. Global warming potentials The GWP is a simple measure to compare the effectiveness of various climate gases (IPCC, 1990, 1994, 1996). The GWP is given relative to another gas, either CO2 or CFC-11. The concept has some limitation (see discussion in Fuglestvedt et al., 2000; Lashof, 2000; O’Neil, 2000; Smith and Wigley, 2000). GWP calculations were performed using both CFC-11 and CO2 as reference gases. For calculations using CO2 as a reference gas the expression given in IPCC (1990), with updated constant in Myhre et al. (1998), is used in the calculation of the radiative forcing with an abundance of CO2 of 364 ppmV and an increase of 1 ppmV. This give a radiative forcing 5% lower than the forcing given in WMO (2000) based on a simplified expression. For the lifetime for CO2 the expression in WMO (2000) is used (this expression differs slightly from the one used in IPCC (1996) and which we used in Myhre et al. (1999)). Table 3 shows the GWP for the three perfluoroalkenes investigated for three time horizons for CO2 as reference gas. The perfluoroalkenes also have very low GWP values compared to various halocarbons (see WMO, 2000) as the radiative forcing is low and further the lifetime is low which is an important factor for the integrated radiative forcing over a time horizon. Actually, for the three compounds the GWP values range between 10@4 and 10@6 relative to CFC-11. 500 @6 0.021 (4.4 10 ) 0.25 (5.4 10@5) 0.027 (5.8 10@5) 0.0065 (3.9 10@6) 0.079 (4.8 10@5) 0.0084 (5.2 10@5) 4. Atmospheric implications Very short atmospheric lifetimes of 1.9, 6.0 and 1.9 days with respect to the OH radical are calculated for CF2CF2, CF3CFCF2 and CF2CFCFCF2, respectively. Because of the high reactivity of these compounds, the lifetime will strongly depend on local and seasonal conditions, but an estimate of the average GWP of these compounds can be made as shown in this paper. Radiative forcing calculations were performed based on the measured infrared absorption cross sections and the calculated atmospheric distributions. The GWP values for all three fluoroalkenes are very small compared to that of CFC-11 (see Table 3). The GWP values are even lower than that of CO2 for all three time horizons calculated (see Table 3). In summary, the GWP of perfluoroalkenes is totally negligible. The main atmospheric degradation product of CF2CF2, CF3CFCF2 and CF2CFCFCF2 has been identified as CF2O, and from the oxidation of C3F6 also CF3CFO was identified. CF2O and CF3CFO are rapidly (5–10 days) incorporated into raindrops/aerosols in the atmosphere (De Bruyn et al., 1995). In the water phase CF2O is eventually converted to HF and CO2 (Sehested and Wallington, 1993), but this additional amount of fluorine ions in the liquid phase will be negligible compared to the global F@ budget (Sehested and Wallington, 1993). CF3CFO in the water phase is eventually converted to HF and CF3COOH, TFA, (De Bruyn et al., 1995). TFA is only degraded very slowly in the hydrosphere (Kanakidou et al., 1995). One could argue that the oxidation products, CF2O and CF3CFO, could also contribute with a GWP, but with atmospheric lifetimes of 5–10 days (De Bruyn et al., 1995), it can be assumed that the GWPs of these compounds are also negligible compared to CFC-11. 4122 G. Acerboni et al. / Atmospheric Environment 35 (2001) 4113–4123 Acknowledgements The authors would like to thanks Dr. T. Wallington for a spectrum of CF3CFO. G. 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