Interactions in Open-Shell Clusters: Ab Initio Study of Pre-reactive Complex O(
3
P) + HCl
†
Joanna E. Rode,
‡
Jacek Klos,
‡,§
Lukasz Rajchel,
‡,#
Malgorzata M. Szczesniak,
‡
Grzegorz Chalasinski,*
,#
and Alexei A. Buchachenko
|
Department of Chemistry, Oakland UniVersity, Rochester, Michigan 48309, Faculty of Chemistry,
UniVersity of Warsaw, Pasteura 1, 02-093 Warszawa, Poland, and Department of Chemistry,
Moscow State UniVersity, Moscow 119992, Russia
ReceiVed: June 23, 2005; In Final Form: October 18, 2005
Van der Waals interactions between the ground-state triplet O(
3
P) atom and the closed-shell HCl molecule
are investigated in the pre-reactive region. Three adiabatic (two of A′′ symmetry and one of A′ symmetry)
and four non-relativistic diabatic potential energy surfaces are obtained by combining a restricted open-shell
coupled cluster approach with the multireference configuration interaction method. The lower A′′ adiabatic
potential surface has a single minimum (D
e
) 589 cm
-1
) for a linear O‚‚‚HCl configuration. The upper A′′
potential has a weak (D
e
) 65 cm
-1
) minimum for a linear HCl‚‚‚O configuration. The A′ adiabatic potential
has a weak (124 cm
-1
) T-shaped minimum. Adiabatic potentials intersect once in the O‚‚‚HCl linear
configuration and twice in the linear HCl‚‚‚O geometry. The role of electrostatic interactions in shaping
these potentials is discussed. The effects of spin-orbit coupling on this interaction are also investigated
assuming a constant value of the SO parameter.
I. Introduction
Reactions involving atoms with nonzero angular momentum
proceed on multiple, coupled potential energy surfaces.
1
If such
reactions involve potential barriers, the reactants form van der
Waals complexes in the reactant valley. These van der Waals
minima, which support bound and quasibound states, may trap
the reactants before they have a chance to engage in reactive
encounters. For example, Skouteris et al.
2
observed that in the
Cl(
2
P) + HD reaction the presence of a tiny van der Waals
well (of ca. 0.5 kcal/mol) in the entrance valley ahead of the
8.5 kcal/mol barrier strongly affects the products distribution.
They state, “The fact that such weak van der Waals forces can
actually affect the outcome of the reaction is quite remarkable.”
A frequent occurrence in the pre-reactive region is the crossing
of Born-Oppenheimer potential surfaces, which gives rise to
nonadiabatic effects. The presence of spin-orbit coupling
provides further opportunities for nonadiabatic coupling.
3,4
We have examined a number of pre-reactive complexes
involving
2
P halogens interacting with closed-shell diatomics.
5-9
Ab initio calculations have been employed to characterize the
Cl(
2
P) + HCl,
5
Cl(
2
P) + H
2
,
6
F(
2
P) + H
2
,
7
and Br(
2
P) + H
2
8
complexes. The results were also reviewed recently.
9
The
adiabatic and diabatic potentials derived in these studies were
employed in bound-state calculations of Zeimen et al.
10,11
The subject of this paper is the O(
3
P) + HCl van der Waals
complex formed in the reactant valley of the reaction between
the ground-state O(
3
P) and HCl. The O + HCl f OH + Cl
reaction is of great interest to atmospheric chemistry and serves
as a classic example of reaction with heavy-light-heavy
dynamics. For these reasons it attracted a great deal of attention
from the reactive scattering community (for a recent review see
Althorpe and Clary
12
). Recent quantum scattering calculations
(on the lowest surface)
13,14
revealed the presence of sharp
resonances below the reaction threshold which have been
attributed to the presence of the O(
3
P)-HCl van der Waals
wells.
The ground-state potential energy surface (PES) for the O(
3
P)
+ HCl f OH + Cl reaction has been the subject of theoretical
investigations for a long time. The first reasonable PES of the
ground state
3
A′′ was advanced by Koizumi, Schatz, and Gordon
(KSG).
15
This PES, which was based on the MP2/6-31G**
calculations, was used in numerous quantum calculations of the
rate constants (see ref 16 for references). In 1999 Ramachandran
et al. developed the multireference configuration-interaction with
the approximate correction for quadruples, MRCI+Q/cc-pVTZ,
representation of this state.
17
The quasiclassical trajectory
calculations on this surface revealed much improvement over
the KSG surface, but more accurate quantum calculations
suggested that some details were still inaccurate, especially
concerning the barrier region.
13,18
Xie et al. used this surface in
quantum reactive scattering calculations.
14
They observed a
number of low-energy resonances in the cumulative reaction
probability of this reaction and concluded that they are related
to the quasi-bound states due to the entrance-channel van der
Waals complexes. More recently MRCI+Q with a sequence of
aug-cc-pVnZ (n ) 2-4) basis sets by Ramachandran and
Peterson
19
generated the lowest energy surfaces for both
3
A′′
and
3
A′ symmetries. A high level of theory, CBS extrapolation
combined with scaling, resulted in what appeared to be the most
accurate to date surfaces for the reaction O(
3
P) + HCl f OH
+ Cl. Their potential contains van der Waals wells on both the
product and reactant sides of the barrier.
All the potential energy surfaces mentioned thus far map the
total Born-Oppenheimer energy of a dimer as a function of
geometry. In this representation, the energy does not approach
†
Part of the special issue “Jack Simons Festschrift”.
* Corresponding author. E-mail: chalbie@tiger.chem.uw.edu.pl.
‡
Oakland University.
§
Present address: Department of Chemistry and Biochemistry, University
of Maryland, College Park, MD 20742-2021.
#
University of Warsaw.
|
Moscow State University.
11484 J. Phys. Chem. A 2005, 109, 11484-11494
10.1021/jp053419q CCC: $30.25 © 2005 American Chemical Society
Published on Web 12/15/2005