Predicting Gas Phase Kinetic Data for Organic Compounds Patrick Laine Atmospheric Chemistry Fall 2008 Term Paper Presentation
Background OH is the dominant loss process for VOC’s in atmosphere Knowing rates at which OH reacts with VOC’s is important – affects O 3 formation Some reactions are difficult to measure experimentally
CH 4 + OH ·CH 3 + H 2 O(7) CH 3 + O 2 + M CH 3 O 2 · + M (8) CH 3 O 2 · + NO CH 3 O· + NO 2 (9) CH 3 O· + O 2 HCHO + HO 2 (10) HO 2 + NO OH + NO 2 (11) Net: CH 4 + 2NO + 2O 2 HCHO + H 2 O + 2NO 2 Methane + OH
Methodology Look at simplest case – alkanes Identify the types of Hydrogens ((1 o )CH 3 -R, (2 o )RCH 2 -R, (3 o )RCHRR) present Assign appropriate values for each type Use up to date experimentally determined rate constants Apply to larger species
VOCC-H typesk_x10 12 cm 3 molec -1 s -1 ethane2 1 o propane2 1 o, 1 2 o 1.09 n-butane2 1 o, 2 2 o methylprop3 1 o, 1 3 o 2.12 n-pentane2 1 o, 3 2 o methylbut3 1 o, 1 2 o, 1 3 o 3.6 2,2-dimethylprop4 1 o n-hexane2 1 o, 4 2 o 5.2
Deriving a k_1 o value Use ethane and 2,2 dimethylpropane to get an average value for contribution of primary C-H to overall rate constant 2,2-dimethylprop4 1 o ethane2 1 o k_1 o = x cm 3 molec -1 sec -1 CH 3 H 3 C – C – CH 3 CH 3 H 3 C – CH 3
Deriving a k_2 o value k_2 o = x cm 3 molec -1 sec -1 Alkanes used: n-propane, n-butane, n-pentane, n-hexane
Deriving a k_3 o value 1 o 2 o 3 o Use previous values for 1 o and 2 o and compare to experimental k to deduce the value for contribution from 3 o C-H Using 2-methylbutane, 2-methylpentane, 2,4-dimethylpentane, 2,3,4-trimethylpentane an average value of 2.2 x cm 3 molec -1 sec -1 is found for each 3 o C-H
VOCCalc =Σ kn o ; n=1-3 k_x10 12 cm 3 molec - 1 s -1 ethane propane n-butane methylprop n-pentane methylbut ,2-dimethylprop n-hexane
Apply to larger OC H3C-CH2-CH-CH-CH2-CH3 CH2 CH3 CH2 3,4 diethylhexane: C 10 H o, o, o 4*(.165) + 4*(.725) + 2 * (2.2) = 7.96 Exp: 6.92; % Error: 13% 3,3 diethylpentane: C 9 H 20 H3C-CH2-C-CH2-CH3 CH2 CH3 CH o, o 4*(.165) + 4*(.725) = 3.56 Exp: 4.8; % Error: 25%
Conclusions/Limitations Analysis of rate constant trends can lead to reasonable estimations Alkenes, cyclic hydrocarbons, halogen containing, aromatic compounds each present unique factors All experimentally determined rate constants from: Atkinson and Arey, Chemical Reviews, 2003 Vol. 103, No. 12 pp