Gas Phase Hydration and Deprotonation of the Cyclic C
3
H
3
+
Cation. Solvation by
Acetonitrile, and Comparison with the Benzene Radical Cation
Ridha Mabrouki, Yehia Ibrahim, Enli Xie, Michael Meot-Ner (Mautner), and
M. Samy El-Shall*
Department of Chemistry, Virginia Commonwealth UniVersity, Richmond, Virginia 23284-2006
ReceiVed: January 18, 2006; In Final Form: April 3, 2006
The binding energies of the first 5 H
2
O molecules to c-C
3
H
3
+
were determined by equilibrium measurements.
The measured binding energies of the hydrated clusters of 9-12 kcal/mol are typical of carbon-based CH
+
‚
‚‚X hydrogen bonds. The ion solvation with the more polar CH
3
CN molecules results in stronger bonds
consistent with the increased ion-dipole interaction. Ab initio calculations show that the lowest energy isomer
of the c-C
3
H
3
+
(H
2
O)
4
cluster consists of a cyclic water tetramer interacting with the c-C
3
H
3
+
ion, which
suggests the presence of orientational restraint of the water molecules consistent with the observed large
entropy loss. The c-C
3
H
3
+
ion is deprotonated by 3 or more H
2
O molecules, driven energetically by the
association of the solvent molecules to form strongly hydrogen bonded (H
2
O)
n
H
+
clusters. The kinetics of
the associative proton transfer (APT) reaction C
3
H
3
+
+ nH
2
O f (H
2
O)
n
H
+
+ C
3
H
2
•
exhibits an unusually
steep negative temperature coefficient of k ) cT
-63(4
(or activation energy of -37 ( 1 kcal mol
-1
). The
behavior of the C
3
H
3
+
/water system is exactly analogous to the benzene
+•
/water system, suggesting that the
mechanism, kinetics and large negative temperature coefficients may be general to multibody APT reactions.
These reactions can become fast at low temperatures, allowing ionized polycyclic aromatics to initiate ice
formation in cold astrochemical environments.
I. Introduction
The chemistry of C
3
H
3
+
has received considerable attention
and continues to be an active area of research.
1-5
This is due
to the important roles of the ion chemistry of C
3
H
3
+
in flames
and combustion processes particularly for the mechanisms of
soot formation,
6,7
and in interstellar clouds particularly for the
origin of larger hydrocarbon and other complicated molecular
species observed in interstellar medium.
8-11
The C
3
H
3
+
ions
are also likely to be present in the hydrocarbon-containing
ionospheres of Jovian planets,
12
Titan,
13
and in interstellar
clouds.
8-11
There are two low energy isomers of the C
3
H
3
+
ion: the
acyclic propargyl ion, H
2
CCCH
+
, and the cyclopropenyl ion,
c-C
3
H
3
+
which is more stable than the acyclic isomer by 24.9
kcal/mol.
14
The cyclic isomer c-C
3
H
3
+
is, in fact, the smallest
cyclic aromatic species. Correspondingly, c-C
3
H
3
+
is stable and
unreactive. For example, it is well-known that the reactivities
of the H
2
CCCH
+
ion with alkenes, alkynes, aromatic hydro-
carbons, and alcohols are significantly higher than those of
c-C
3
H
3
+
.
15,16
The interactions of aromatic cations such as c-C
3
H
3
+
with
water and other polar solvent molecules are important in many
chemical, astrochemical, physical and biological processes
including, for example, solvation shells, hydrophobic hydration,
clathrate formation, and proteins conformations.
17-19
Detailed
information on these interactions can be provided by gas-phase
studies where, for example, the binding energies of the solvent
molecules in the inner shell of the hydrocarbon ions can be
measured using gas-phase clustering equilibria.
20-22
Recently,
we investigated the interactions of ionized aromatics with solvent
molecules, including a detailed study of the benzene
+•
/water
system, where we measured binding energies with up to eight
water molecules bound to the benzene radical cation (C
6
H
6
+•
).
20,21
In addition to building up clusters, the water molecules can also
react with the core ions by extracting a proton.
20,21,23-26
Extraction of protons from ionized aromatics by solvent
molecules may have important implications to reaction mech-
anisms, inhibition and termination of polymerization and to
astrochemical processes.
25-29
For example, we observed recently
the deprotonation of benzene
+•
by several H
2
O molecules, where
the rate coefficients of the deprotonation reaction displayed an
unprecedented large negative temperature coefficient of k )
cT
-67(4
(or an activation energy of -34 ( 1 kcal/mol).
20,21
The
deprotonation reaction is driven energetically by the formation
of protonated water clusters, (H
2
O)
n
H
+
, that contain a core
hydronium ion (H
3
O
+
) and exhibit strong ionic hydrogen bonds
(IHBs). Proton-transfer driven by the association of several
molecules through exothermic bond formation may be called
associative proton transfer (APT) reactions. These APT reactions
can become very efficient under low-temperature astrochemical
conditions where various polar molecules, which have proton
affinities higher than H
2
O, can co-condense on the hydrocarbon
ions and further facilitate the deprotonation of the ions.
In this paper we shall study the solvation of c-C
3
H
3
+
ions
and their deprotonation by water through APT reactions. In
comparison with the benzene radical cation C
6
H
6
+•
, the c-C
3
H
3
+
ions present two interesting features. First, the size of the ion
is significantly smaller than that of C
6
H
6
+•
and, therefore, the
charge density on c-C
3
H
3
+
is significantly higher than in C
6
H
6
+•
.
Second, the proton affinity of the C
3
H
2
•
radical (227 kcal/mol)
is significantly higher than that of the phenyl radical C
6
H
5
•
(212
kcal/mol).
30
These features could provide valuable insights on * Corresponding author. E-mail: selshall@hsc.vcu.edu.
7334 J. Phys. Chem. A 2006, 110, 7334-7344
10.1021/jp0603684 CCC: $33.50 © 2006 American Chemical Society
Published on Web 05/20/2006