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state with an energy less than or equal to E–E0, h is Planck’s
constant, and 1(E) is the density of states for the energized
starting ion at an energy E. The excess energy E–E0 applied to
the mass-selected ions is assumed to be statistically distributed
over the accessible vibrational/rotational modes. For a loose
dissociation transition state at the centrifugal barrier for the
treatment of the dissociation in an ion-molecule reaction is
modelled in L-CID. At the dissociation transition state, six vibra-
tions in the energized reactant ion become three rotational
and three translational modes, of which one translation is the
reaction coordinate. The rate of a reaction with a loose transi-
tion state increases with excess energy much more quickly
than that for a tight transition state. Consequently, the rate of
a dissociation can exceed the rate of a rearrangement even if
E0 for the loose process is higher than E0 of the tight process.
Based on these arguments, one can often infer general fea-
tures of the potential energy surface based on the observed
behavior of the reaction cross-sections even before the extrac-
tion of activation barriers and/or consulting DFT calcula-
tions.[11,30]
erature search reveals that ionized organic sulfonyl compounds
were also reported to extrude SO2 in the gas phase. This reac-
tion was suggested as a distinctive marker for the sulfonyl
group. Thorough mechanistic studies are scarce, however, and
it is difficult to make a direct comparison with our gold com-
plexes 1–3.[33] High resolution ESI-MS/MS of complexes 1–3
was conducted in order to validate the chemical formula of
the product ions 4–6 and 7–9 (see the Supporting Informa-
tion). The measured isotope patterns are in very good agree-
ment with calculated patterns and confirm their identity. Struc-
tural evidence for the existence of gold carbenes in the gas
phase has previously been reported by trapping experiments
using complex C.[13a,b] The structures of the rearranged com-
plexes 7–9 are DFT predictions.
With the reactive cross-section curves interpreted quantita-
tively, the measured thresholds energies were compared with
the DFT-calculated energy barriers for carbene formation and
SO2 extrusion. The computed reaction pathways (Figure 4 and
6) predict benzylꢁsulfur dissociation to proceed in a single
step without a definable transition state up until the centrifu-
gal barrier, whereas the SO2-extrusion rearrangement follows
a reaction with an initial tight transition state followed by SO2
extrusion. The depicted transition states and products 7–9 are
DFT predictions. It is also plausible that 7–9 further rearrange
to restore aromaticity and form a product analogous to com-
plex B (Scheme 1). However, experiments provide no evidence
for or against these structures. The energies of the simple dis-
sociation are in good agreement with the measured BDEs with
M06-L, M06, and BP86-D3. Adding Grimme’s D3-dispersion cor-
rection at the BP86 level greatly improved the calculations. In
the case of complex 1 (Figure 5), the dispersion corrections in-
creased the dissociation threshold by 25.6 kcalmolꢁ1 and de-
creased the rearrangement barrier by 9.3 kcalmolꢁ1. However,
in a solvation model the dispersion effects may be less pro-
nounced.[34] The M06-family calculations are also in good
agreement with the measured BDE of complex 2, but they
slightly overestimate the electronic contributions of the p-me-
thoxy benzyl substituents in complexes 1 and 3. Nevertheless,
the calculated BDE difference of approximately 2 kcalmolꢁ1 be-
tween 1 and 3 is in very good agreement with the measured
BDE difference, reproducing the overall trend of benzylꢁsulfur
bond strengths. For the SO2-extrusion activation energies, only
the BP86-D3 calculated energies are in acceptable agreement
with measurements, whereas M06 and M06-L consistently
overestimate the height of the activation energies.
Based on these arguments and on the inspection of the rela-
tive intensity of ions 4–6 and 7–9 as a function of collision
energy (Figure 9), the appropriate transition-state model is
loose for gold carbene formation 4–6 and tight for the SO2-ex-
trusion rearrangement 7–9 process (Table 1).
Having assessed the threshold CID curves qualitatively, and
fitted by using L-CID, the obtained BDEs (Table 1) for com-
plexes 1–3 allow the rationalization of the observed gas-phase
reactivity for the different para-substituents and different trans
[NHC] versus [P] ligand. The counterions can be ignored in the
comparisons because the complexes exist as naked cations in
the gas phase and there is no indication that the weakly coor-
dinating anion is important to the reactivity in the moderately
polar CH2Cl2 solution. Comparing complexes 1 and 2, the
formed carbene intermediate is stabilized by the donation of
electron density from the p-methoxy benzyl substituent by up
to 3 kcalmolꢁ1. The comparison of [NHC] and [P] ligand effects
on carbene stabilization is less straightforward as the overall
geometries are quite different. The approximately 2 kcalmolꢁ1
BDE difference between complex 1 and 3 can, however, be re-
garded as an upper bound for the stabilization of the carbene
owing to the electronic effects of the [NHC] ligand. It is gener-
ally accepted that [NHC] ligands are stronger s donors, also ex-
hibiting less d!p* backbonding in comparison with [P] li-
gands. This is consistent with the experimentally observed sta-
bilization of the electrophilic carbenes 4–6.[24,31] The activation
energies for the SO2-extrusion rearrangement (Table 1, 25.6–
29.3 kcalmolꢁ1) are surprisingly low when considering that aro-
maticity is disrupted, two CꢁS bonds are broken, and only one
CꢁC bond is formed. Other pathways, for example, a three-
membered cyclic transition state, have been considered, but
the computed transition-state energies were considerably
higher. An alternative, but higher energy transition state, is de-
scribed in the Supporting Information. The SO2-extrusion acti-
vation energies are, however, less interesting for our current
study because this reaction is not kinetically competitive with
the pathway leading to the cyclopropane in solution.[32,17] A lit-
A summary of the key gas phase and DFT results is present-
ed in Table 4, including the cyclopropanation yields observed
in solution.
Having measured the carbene formation and SO2-extrusion
rearrangement energies in the gas phase and having con-
firmed the results by DFT, we now turn our attention to the ac-
companying solution-phase experiments. For the comparison
of ease of carbene formation in terms of steric/electronic ef-
fects of the various structural modifications in both media, cer-
tain assumptions about the gold carbene precursor complexes
1–3 must be made. It is assumed that 1) carbene formation in
the gas phase, and cyclopropanation in solution, of the three
Chem. Eur. J. 2014, 20, 14270 – 14281
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