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PNNL-13501 - Pacific Northwest National Laboratory

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still some key kinetic issues that have yet to be resolved.<br />

Major areas of mechanistic uncertainty include<br />

1) aromatics, 2) OH chemistry of hydrocarbons Cn, with<br />

n>4, 3) O3 chemistry of hydrocarbons Cn with n>2, and<br />

4) NO3 chemistry of alkenes. Paulson’s statements are<br />

supported by Seinfeld’s view, also in JR Baker, Ed.<br />

(1994, Chap. 2, 34-57), that the principal uncertainty in<br />

volatile organic compounds/NOx chemistry lies in the<br />

knowledge about the mechanisms of degradation of the<br />

organic species (Figure 1).<br />

Molecular<br />

Mechanisms<br />

& Rates<br />

ATMOSPHERIC CHEMISTRY MODELS<br />

Condensed<br />

Chemical<br />

Mechanistic<br />

Models<br />

• Uncertainties in reaction rates<br />

• Postulated intermediates and pathways<br />

• Temperature-dependent product yields<br />

Three-Dimensional<br />

Atmospheric<br />

Chemistry &<br />

Transport Models<br />

Figure 1. Interplay between molecular reactions and<br />

atmospheric chemistry and transport models<br />

A revolution in science has taken place over the last 2<br />

decades. This revolution is based on the utilization of<br />

high performance computers to solve the complex<br />

equations that describe natural phenomena. Both<br />

software and hardware developments have contributed to<br />

this revolution. The impact on chemistry and atmospheric<br />

chemistry has already been seen. For example, modeling<br />

has played a significant role in determining the effects of<br />

ozone on the stratosphere and in the formulation of the<br />

Montreal Protocol and its subsequent amendments. In the<br />

area of electronic structure modeling, the methods of<br />

computational quantum chemistry have developed to the<br />

point that both novel insights and chemically accurate<br />

data can be provided for many chemical species and<br />

reactions, including those relevant to atmospheric<br />

processes and combustion processes. Such computational<br />

studies have contributed to the definitive assignment of<br />

reaction pathways and mechanisms through direct<br />

calculations of reaction enthalpies and rate constants.<br />

Accurate computational studies have been important in<br />

helping to experimentally identify novel species based on<br />

calculated infrared and Raman vibrational spectra and<br />

electronic absorption spectra. If one is striving to replace<br />

experimental measurements by calculations, the mark is<br />

for direct calculations of chemical accuracy, generally<br />

defined as less than 1 kcal/mol in bond energies. Ab<br />

initio determination of reaction rates are even more<br />

demanding owing to the exponential dependence of the<br />

rate on the activation energy and the fact that a factor of<br />

236 FY 2000 <strong>Laboratory</strong> Directed Research and Development Annual Report<br />

two in a rate constant has a very significant effect on the<br />

overall reaction mechanism.<br />

The objective of this work is to demonstrate the impact<br />

that computational chemistry can have on atmospheric<br />

modeling by providing mechanistic chemistry and<br />

reaction rate information about the oxidation of volatile<br />

organic compounds and their degradation byproducts. As<br />

an initial step, we will identify and establish a<br />

collaboration with a leading atmospheric modeling group<br />

that will use the molecular mechanistic and kinetics data<br />

in their atmospheric models. These contacts will put us in<br />

a position to select a small number of model volatile<br />

organic compounds reactions for which we will carry out<br />

structure and kinetic calculations.<br />

Results and Accomplishments<br />

We used modern methods of computational chemistry to<br />

characterize the elementary reaction pathways for OH<br />

reacting with ethene, butadiene, isoprene, and alpha- and<br />

beta-pinene. All of these systems play an important role<br />

in volatile organic compounds oxidation. Selected<br />

adducts and transition states for these systems have been<br />

determined using medium level of theory (UHF with 6-<br />

31G*). Higher levels of theory have been used for the<br />

OH + ethene and OH + butadiene systems (MP2 with<br />

aug-cc-pVDZ and aug-cc-pVTZ basis sets) (Figure 2).<br />

For the simpler system OH + ethene, extensive<br />

calculations have been carried out to map the important<br />

regions of the potential energy surface that play a key role<br />

in the first-principles calculation of reaction rates.<br />

Addition of OH to C=C bonds have a very small<br />

activation energy or no activation energy. Rate<br />

calculations are very sensitive to the minimum energy<br />

pathway minimum energy pathway and the shape of the<br />

energy surface in the vicinity of the minimum energy<br />

pathway. The computed VTST rates shown in Figure 3<br />

correspond to scaled UCCSD(T) computed reaction<br />

energies. While the agreement with experimental rate is<br />

excellent at 400 K, the temperature dependence of the<br />

rates is not well reproduced from the computations. The<br />

discrepancy is attributed to inaccuracies in the calculation<br />

of the partition functions that enter the rate expressions.<br />

The inaccuracies arise from the low frequency reactions<br />

modes as well as the level of electronic structure theory.<br />

The overall methodology (level of accuracy required,<br />

characterization of pathway) is being refined on the<br />

smallest systems OH + ethene and OH + butadiene. The<br />

computational protocol will be applicable to the more<br />

complex systems with activation energies less than<br />

2 cal/mol.

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