Angewandte
Chemie
the transient structures involved in solution, complete struc-
tural determination of all species involved in the absence of a
perturbing solvent sheds light on the intrinsic chemistry of the
molecule itself.
With electron diffraction we are able to determine both
ground-state and product structures for excitation of 6-nitro-
BIPS at 266 nm. For the ground-state structure, the exper-
imental and the theoretical molecular scattering function,
sM(s), together with the radial distribution, f(r), are shown in
Figure 2. Starting with a calculated structure of the ground
recorded at + 100 ns, is fit with a linear combination of
theoretically calculated sM(s) curves (see Experimental
Section for structure and temperature calculations). The
coefficients of this linear combination report directly on the
fractional abundance of a given species.
In the initial screening for product structures, we consid-
ered all possible open isomers (except the TCC structure, for
which no stationary point could be located)[11] as well as the
closed forms in their lowest singlet and triplet electronic
states (see Tables SI2 for calculated structure parameters and
frequencies). The quality of the fit is quantified in the c2 value
and the linear combinations are ranked in order of their
ability to reproduce the experimental data. We found that
fitting the data with less than two products is insufficient to
produce a good fit. If three or more products are included,
then ca. 70% of the product species tend to be in a closed
form while ca. 30% are in an open form. Additionally, the
linear combinations, which assign about equal abundance to
the vibrationally hot ground state and to the closed form in its
lowest triplet state, produce the best fits. Finally, the open
structures, for which the central bridge segment is in the CTC
or CTT conformation, are highly favored.
With the most plausible reaction products identified, we
attempted to refine the product structures (with their temper-
atures constrained at calculated values) in each linear
combination separately to further improve the quality of the
fit. Table SI3 shows the resulting ranking of linear combina-
tions after the attempt at structural refinement in each case.
Only three of the combinations allowed for the fitting of four
and five orthogonal parameters in each structure, while the
rest produced unphysical geometries after only fitting one or
two orthogonal parameters. The three combinations differ
only in the identity of the open form, while the fractions
remain similar. The c2 value of the combination including the
CTC structure represents the global minimum (best fit) on the
c2 hypersurface for the indicated number of orthogonal
parameters. We thus conclude that, based on the quality of the
fits, the following species are produced in the gas-phase:
SP(S0) at 1164 K, SP(T1) at 843 K, and MC CTC(S0) at
1132 K.
Using these product species, Figure 3 displays the fitted
DsM(s) curve with the experimental data at the + 100 ns time
delay and the corresponding Df(r) curve; also shown are the
theoretical curves, where the temperatures of all species are
held at the initial temperature of 510 K, thus isolating the
difference signal due to structural rearrangement only.
However, because electron diffraction is recording vibration-
ally-averaged structures and is therefore sensitive to temper-
ature, it is necessary to constrain the temperature of the
product species to calculated values, accounting for photon
absorption, when refining structural parameters (see Exper-
imental Section).
Figure 2. Diffraction results of the ground-state (GS) structure of 6-
nitro-BIPS. Shown are a) the molecular scattering function, sM(s), and
b) the radial distribution, f(r), for the experimental (circles) and
theoretical curves (line). Also shown is a weighted histogram of all the
internuclear distances measured in the diffraction experiment.
state, we refined seven orthogonal structural parameters, as
well as the internal temperature of the molecule (fitted value:
510 K), to achieve satisfactory agreement between the
experimental data and the theoretical model.[25] The refined
structural parameters are listed in Table SI1 in the Supporting
Information, together with values obtained from density
functional theory (DFT) calculations; they have discrepancies
of less than 0.056 ꢀ and 0.338 for bond lengths and angles,
respectively.
For studies of structural dynamics following UV excita-
tion, we recorded time-resolved diffraction patterns at
ꢀ100 ns and + 100 ns. To identify the structures present and
their abundance, the experimental frame-referenced DsM(s)
curve,[26] obtained by subtracting the reference diffraction
pattern recorded at ꢀ100 ns from the diffraction pattern
Regardless, the depletion of the first, second, and higher
order interatomic distances due to the ring opening and bond
twisting manifest itself in the more prominent negative peaks
in the Df(r) curve. The refined structural parameters are listed
in Tables SI4, together with values obtained from DFT
calculations. The successful identification of the product
structure among the many candidates demonstrates the
Angew. Chem. Int. Ed. 2010, 49, 6524 –6527
ꢀ 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
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