Ab Initio Study of the Oxidation Reaction of CO by ClO Radicals
Florent Louis,*
,²
Carlos A. Gonzalez,*
,‡
and Jean-Pierre Sawerysyn
²
Physico-Chimie des Processus de Combustion et de l’Atmosphe ` re (PC2A) UMR CNRS 8522, FR CNRS 2416
Centre d’Etudes et de Recherche Lasers et Applications (CERLA), UniVersite ´ des Sciences et Technologies de
Lille, 59655 VilleneuVe d’Ascq Cedex, France, and Computational Chemistry Group, Physical and Chemical
Properties DiVision, National Institute of Standards and Technology, Gaithersburg, Maryland 20899
ReceiVed: March 31, 2003; In Final Form: August 14, 2003
The oxidation of carbon monoxide by ClO radicals was studied by ab initio molecular orbital theory calculations.
Geometry optimizations and vibrational frequencies were computed using two methods: Møller-Plesset
second-order perturbation theory (MP2), and quadratic configuration interaction in the space of single and
double excitations (QCISD). Single-point energy calculations were performed at the QCISD level with triple
excitations treated perturbatively (QCISD(T)) and the aug-cc-pVTZ basis set. Canonical transition state theory
was used to predict the rate constants as a function of temperature (550-2500 K), and three-parameter Arrhenius
expressions were obtained by fitting to the computed rate constants. The possible impact of the title reaction
in combustion chemistry is also discussed.
Introduction
To model the high-temperature oxidation processes occurring
in the incineration of chlorinated hazardous wastes, kinetic data
concerning the reactivity of chlorooxy radicals with major
species such as carbon monoxide are needed. A recent study
1
of the ignition and combustion of ammonium perchlorate in a
hydrogen atmosphere showed that ClO radicals are generated
at 1400 K near the surface of the burner at the same level of
concentration as the OH radicals. To the best of our knowledge,
this is the first time that ClO radicals have been detected in
flames including chlorinated compounds. Studies
2
of the equi-
librium product distributions associated with the combustion
of CH
3
Cl, CH
2
Cl
2
, and CHCl
3
in air show that the mole fractions
of ClO radicals under fuel lean conditions (equivalence ratio
) 0.5) are at least 100 as high as the ones of OH radicals at
temperatures lower than 900 K and remain predominant until
about 1100, 1500, and 1800 K for CH
3
Cl, CH
2
Cl
2
, and CHCl
3
,
respectively. These estimates suggest that ClO might contribute
to the oxidation of CO to CO
2
in the combustion of chlorinated
hydrocarbons under air excess conditions. This contribution is
expected to be largely predominant in oxidation processes of
chlorinated organic species without hydrogen atoms. Very few
determinations of the rate constant of the reaction ClO + CO
f Cl + CO
2
have been published in the literature. Clyne and
Watson
3
reported an upper limit to the rate constant at 587 K
(k < 2.0 × 10
-15
cm
3
‚molecule
-1
‚s
-1
) for the reaction between
ClO and CO. On the basis of these data, DeMore et al.
4
have
estimated the following rate expression over the atmospheric
temperature range (200-300 K):
where the activation energy is assumed to be a lower limit.
To assess the relevance of the title reaction in the incineration
of chlorinated hazardous waste, it is important to understand
the mechanisms and kinetics of this reaction at combustion
temperatures. High-level ab initio molecular orbital theory can
be very helpful in the prediction of the kinetic parameters over
a wide temperature range and in the understanding of the details
of the mechanism governing the reaction ClO + CO f Cl +
CO
2
. In this work, we apply this methodology combined with
canonical transition state theory, to study the temperature
dependence of the kinetics of this reaction. To our knowledge,
this is the first theoretical study of the reaction between ClO
and CO.
Computational Methods
5
All calculations described were carried out with the Gaussian
98
6
suite of programs on a 4-processor Compaq, 32-processor
NEC SX-5, and 32-processor Silicon Graphics Origin 2000
parallel computers. Fully optimized geometries, harmonic
vibrational frequencies, and zero-point energy corrections (ZPE)
of reactants, transition states, molecular complexes and products,
were calculated with the unrestricted second-order Møller-
Plesset perturbation theory (UMP2)
7
using the 6-311G(d) basis
set.
8
Electron correlation was computed with second-order
Møller-Plesset perturbation theory with full annihilation of spin
contamination
9
as implemented in the Gaussian 98 package
(noted PMP2 in our results). To confirm the connection of the
transition states with reactants and products, the reaction path
was followed using IRC
10
(intrinsic reaction coordinate) calcula-
tions at the UMP2/6-311G(d) level. The geometrical parameters
were reoptimized with the unrestricted quadratic configuration
interaction theory using single and double excitations method
11
(UQCISD) and the 6-311G(d) basis set. Harmonic vibrational
frequencies were also computed numerically at the UQCISD/
6-311G(d) level. The geometries previously optimized at the
QCISD/6-311G(d) level were used in order to perform single-
point energy calculations for all species at the quadratic
configuration interaction level of theory using single, double,
and triple excitations, QCISD(T),
11
and basis sets ranging from
* To whom correspondence should be addressed. F.L.: fax, (33)-3-
20436977; e-mail, florent.louis@univ-lille1.fr. C.G.: fax, (301)869-4020;
e-mail, carlos.gonzalez@nist.gov.
²
Universite ´ des Sciences et Technologies de Lille.
‡
National Institute of Standards and Technology.
k ) 1.0 × 10
-12
(cm
3
‚molecule
-1
‚s
-1
) ×
exp(-30764 (J‚mol
-1
)/RT) (1)
9931 J. Phys. Chem. A 2003, 107, 9931-9936
10.1021/jp0348272 CCC: $25.00 © 2003 American Chemical Society
Published on Web 10/25/2003