ꢁ
1
Briefly, gas reagents in a syringe are introduced into a flow of
Ultra High Purity (UHP) helium (3–5 psi) via a heated septum
inlet (25–250 1C). The gas mixture is introduced into the ion
trap via a variable leak valve, which is adjusted until the ion
with a constant DEdown value of 600 cm . A grain size of
1
10 cm is used for the energy-grained component of the
ꢁ
ꢁ
1
hybrid master equation, for energies up to 30 000 cm . The
continuum component of the master equation is then solved
ꢁ
5
ꢁ1
gauge reads B0.9 ꢂ 10 Torr, which indicates an ion trap
pressure of B2.5 mTorr. The temperature of the vacuum
manifold surrounding the ion trap was measured at 307 ꢃ 1 K,
which is taken as being the effective temperature for ion-
up to 200 000 cm across a further 6000 grains. Barrierless
reactions are described using the hindered Gorin transition
2
3
state model, with the high-pressure limit rate constant set to
that calculated by collision theory. Reported RRKM/ME
simulations represent ten million trials of 200 collisions each.
Calculations were performed at 307 K and 2.5 mTorr of He.
Coordinates for optimized structures, vibrational frequencies,
and moments of inertia for all active species and transition
states involved in the RRKM/ME calculations are provided as
Supporting Information.
1
6
molecule reactions observed therein. Reaction times of
0–10 000 ms were set using the activation time parameter
3
within the control software using no collision energy applied.
All spectra presented are an average of at least 50 scans. The
concentration of dioxygen in the ion trap was measured using
a calibrant reaction where the true second order rate constant
is known (carboxylatoadamantyl radical anion + O ): thus,
2
the [O ] is simply kpseudo first order/ksecond order. Rate coefficients
2
Results and discussion
were determined as previously described with an estimated
1
1
measurement accuracy of ꢃ25%. Collision rates for the
The acetate radical anion (4) is an archetypal cross-conjugated
9
radical anion, which is conveniently synthesized in vacuo
ion-molecule reactions were estimated by the parameterized
1
7
trajectory collision theory of Su and Chesnavich
and branching ratios were calculated using the method of
by UV photolysis of the C–Br bond in bromoacetate
ꢁ
(BrCH
2
CO
2
). Electrospray ionisation (ESI) of a methanolic
1
8
Grabowski and Zhang.
solution of bromoacetic acid yields the two naturally occurring
isotopologues of the bromoacetate anion at m/z 137 and 139.
Isolation of these ions in the ion trap and photodissociation
Theoretical methods
(
PD) via irradiation with a single pulse of 266 nm photons
from an Nd : YAG laser yields the target radical anion 4 at m/z
8 along with bromide anions at m/z 79 and 81 (Fig. 1a). In
Quantum chemical calculations
5
Electronic structure theory calculations are performed in
contrast, conventional collision induced dissociation (CID)
of bromoacetate yields bromide as the exclusive product ion
1
9
Gaussian 09. The B3LYP/6-31G(2df,p) model chemistry
is used to optimize structures and calculate vibrational
frequencies. The high-level G3SX composite theoretical
(
see Supporting Information Fig. S2). As observed previously
for the a-carboxylate cyclohexyl radical (3), reaction of 4 and
dioxygen yields carbonate radical anion at m/z 60, which
2
0
method is used for molecular energies. The G3SX method
uses B3LYP/6-31G(2df,p) optimized geometries and zero
point energies along with higher-level wavefunction theory
single point energies from HF through QCISD(T) theory, with
basis sets of incrementally decreasing size. These energies are
combined with empirical scaling corrections to arrive at the
final G3SX energy. The G3SX method is particularly accurate
increases in abundance with increasing reaction time, as shown
18
in Fig. 1b. Reaction of 4 with
2
O produces a 2 Th mass shift
in the product ion, indicating incorporation of one atom from
dioxygen, as shown in Fig. 1c. A plot of the natural log of the
fractional precursor intensity versus time is well-described by a
2
linear fit (R = 0.992), indicating that the reaction conditions
2
1
for barrier heights (relative to computational expense), and
1
are pseudo first-order (see Supporting Information Fig. S3). A
ꢁ11
9
also performs well for a range of thermochemical properties.
The G3SX enthalpies reported in this study are expected to be
3
ꢁ1 ꢁ1
second order rate constant of 7.5 ꢂ 10
is obtained using the pseudo first-order rate constant and the
cm molecule s
2
0,21
accurate to ꢃ1.5 kcal/mol (95% confidence intervals).
9
ꢁ3
11
concentration of O
2
in the trap (7.1 ꢂ 10 molecule cm ),
which is determined using a calibrant ion-molecule reaction.
Reaction rate calculations
A calculated reaction efficiency of B12% is derived from the
measured second order rate constant and the predicted
Reaction yields and apparent rate constants, k(T,P), for
chemically activated reaction of both the acetate (4) and
ꢁ
10
3
cm molecule s .
ꢁ1 ꢁ1
collision frequency, which is 6.5 ꢂ 10
acetylglycinate (6) radical anions with O are obtained from
2
The reaction efficiency is relatively high, and is comparable to
rates determined for the reactions of distonic radicals with
7,11
stochastic solutions of the 1D Master Equation (ME),
2
2
using MultiWell-2010.1. Densities and sums of states are
determined from Stein-Rabinovitch-Beyer-Swinehart counts,
based on B3LYP/6-31G(2df,p) vibrational frequencies and
moments of inertia. Internal degrees of freedom are treated
as harmonic-oscillators, with external degrees of freedom
modeled as an active 1D and an inactive 2D rotor, following
the conventional assumption of a symmetric top. Rice-
Ramsperger-Kassel-Marcus (RRKM) theory is used for
microcanonical k(E), with the inclusion of tunneling corrections
for H-shift reactions via an Eckart barrier. Collisional energy
transfer is described using a single exponential-down model
molecular oxygen.
While PD of 2-bromopentanoate produced a very low
abundance of the desired radical anion, the 2-iodopentanoate
anion (m/z 227) gave rise to a moderate abundance of 5 at m/z
100 (see Supporting Information Fig. S4). By analogy with
bromoacetate (Fig. 1a), PD of the 2-iodopentanoate anion
also yields the halide anion (in this case iodide at m/z 127) as a
major competing pathway. Interestingly, the extension of the
alkyl chain presents two additional competitive channels via
ꢀ
b-scission of the nascent radical yielding m/z 99 (–H ) and
ꢀ
m/z 71 (–CH CH ). These processes presumably occur over a
3
2
1
6316 Phys. Chem. Chem. Phys., 2011, 13, 16314–16323
This journal is c the Owner Societies 2011