C O M M U N I C A T I O N S
observed in the investigated time-regime. Then 20 ( 1.3% of
the transient classical C2F4I radical decays further into C2F4 +
I in picoseconds with the time constant of 153 ( 24 ps. These
values can be compared with 55 ( 5% and 26 ( 7 ps
4
a
determined from gas-phase ultrafast electron diffraction,
showing that the solvent reduce the rate and yield of secondary
dissociation significantly. These results might be assigned to
intermolecular energy transfer to the solvent which typically
5
occurs on a time scale of several tens of picoseconds.
Subsequently molecular iodine I2 is formed by recombination
of two I atoms which takes about 100 ns as shown in Figure
2
b. The time constant for the formation of I2 molecules is 8.8
10
-1 -1
(
(2.5) × 10
M
s , which is comparable to the value of
the nongeminated recombination of iodine atoms in CCl4 from
8
optical spectroscopy.
The time constant for the secondary dissociation obtained in
this study relies on a rather small number of measured time
delays. To estimate the associated error, we generated mock
diffraction data with various time constants (from 50 to 500 ps
in steps of 25 ps) for the secondary dissociation. The same
analysis applied to the real experimental data was used to fit
the time constant out of the mock data, and the fitted time
constants agree with the true time constants of the mock data
within ( 2 ps accuracy when no noise was added. If we add
noise comparable to experimental noise, then the time constants
from the global fit analysis deviate from the true values with a
standard deviation of 20 ps. We also note that the convolution
by the X-ray temporal pulse width of ∼100 ps does not affect
the time constant significantly in the investigated time range.
In summary, we determined accurate structural and kinetic
information in the halogen elimination reactions in the solution-
phase by using TXD. The transient structure of ·CF2CF2I in
the photoinduced elimination reaction is determined to be a
classical mixture whereas ·CH2CH2I is bridged. Compared with
the gas-phase reaction whose structural dynamics was revealed
by ultrafast gas electron diffraction, the secondary dissociation
of ·CF2CF2I into C2F4 and I is slowed down by a factor of 6 in
methanol solution.
Figure 2. (a) Identification of the transient structures of dissociated C2F4I2
in solution at 100 ps by transient X-ray diffraction (TXD). The solute-only
terms for the two candidate models (classical and bridged) are shown. The
2
ꢀ
value of the classical structure model is much smaller than that of the
bridged showing that the C2F4I radical has the classical structure. (b)
Reaction kinetics and population changes of the relevant chemical species
during the photoelimination reaction for C2F4I2 in methanol as a function
of time. The measured time delays are indicated with symbols. (c-f)
Schematic reaction mechanism determined by TXD. (c) C2F4I2 in methanol
before laser excitation. (d) Upon photo dissociation, the classical mixtures
of C2F4I and iodine atom are formed. (e) Some of the C2F4I intermediate
are further dissociated into the C2F4 + I species. (f) After 3 ns, molecular
iodine (I2) is generated by nongeminate recombination.
All putative structures (anti-, gauche-C2F4I2, anti-, gauche-, and
bridged-C2F4I, C2F4, and I2) for the solutes were provided by
7
density functional theory calculations.
According to the previous ultrafast electron diffraction studies
4a,b
in the gas phase,
the molecular structure of the C2F4I radical
was determined to be classical and not bridged. To unravel its
structure in solution, we performed the global-fitting analysis
using two candidate models for the transient structures: the anti-
and gauche-mixture (classical structure) and the bridged struc-
2
ture. The ꢀ value for the fit with the classical model was smaller
than that of the bridged structure for all the investigated time-
Acknowledgment. This work was supported by the Creative
Research Initiatives (Center for Time-Resolved Diffraction) of
MOST/KOSEF and the EU grant FLASH(FP6-503641).
2
2
delays. Moreover the ꢀ value (ꢀ ) 1.72) for the classical model
2
was almost a factor of 2 smaller than for the bridged (ꢀ )
3
.24) at 100 ps where C2F4I is the major transient chemical
species. In addition, when a mixture of the two models is
included in the fit, the fraction of bridged radical converges to
zero. These findings confirm the formation of the classical mixed
structure in the elimination reaction of C2F4I2 in solution. The
discrimination in the fits between the classical and bridged forms
is enhanced when the solute-only contribution is extracted from
the total difference diffraction intensity (Figure 2a). The negative
peak near 5 Å corresponding to the I · · ·I interatomic distance
in parent C2F4I2 is common in both models, but the broad
negative peak between 2.0 and 3.0 Å can only match the
classical model. The position and line shape of this peak are
indeed very sensitive to the position of the iodine atom relative
to the two carbon and four fluorine atoms.
Besides the structural identification of the transient structure,
the relative contributions of anti/gauche conformers in the C2F4I
radical can be obtained from global-fitting analysis. In the global
analysis of the TXD data, the fraction of each conformer in the
transient molecule was optimized as fitting parameters. The anti:
gauche conformer ratio of the C2F4I radical was determined to
be 86((4.2):14. Figure 2b shows the populations versus time
for all the species in the reaction as determined by global-fitting.
According to the fit results, the classical-C2F4I mixture and I
dominate at 100 ps as they are essentially created within a few
picoseconds. No three-body dissociation to C2F4 + 2I is
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