Inorganic Chemistry
Article
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downward trend which, when fit to an empirical linear model
Lewis acid, and what change in JC,F this corresponded to.
These results are plotted as contours showing a Mayer bond
order decrease (rounded to the nearest 0.01) resulting directly
from Lewis acid binding in Figure 6 alongside the data
obtained from the literature survey for comparison.
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(R2 = 0.64), suggests that JC,F values decrease at a rate of
about 6 Hz per 0.01 Å elongation (Figure S4).
1JC,F values depend on both the specific ligand as well as its
coordination state, however, so we next studied the relation-
ship between coordinated C−F bond length and the change in
1JC,F value from the “free” ligand value upon coordination
(Δ1JC,F) as a means of providing some level of referencing.
Plotting Δ1JC,F versus C−F bond length (dC−F) yields little
initial insight, as there is no clear correlation between dC−F and
The results of this calculation show a clear trend: longer
Lewis acid coordinated C−F bonds with large reductions in
1JC,F show the greatest extent of activation or, equivalently, the
strongest C−F···LA interactions. Previous work has frequently
discussed the strength of C−F···LA interactions in the context
of C−F bond elongations, but this work further asserts a
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change in JC,F (Figure 6). This observation suggested that a
more complex relationship between Δ1JC,F, dC−F, and the
strength of a C−F···LA interaction existed. To elucidate this
relationship, we undertook a systematic computational study,
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relation between JC,F and the extent of C−F bond activation.
An additional critical finding of this analysis is that “long” C−F
bonds do not necessarily imply greater activation relative to
shorter analogues, and that, for a given C−F bond length,
varying degrees of activation are possible. A simple
demonstration of this statement is found in comparing 4
with analogous semifluorinated m-terphenyl silylium ion
complex [2,6-bis(2,6-difluorophenyl)phenyl]dimethylsilylium
tetrakis(pentafluorophenyl)borate (herein referred to as
[TerphF′-SiMe2][B(C6F5)4]), where a formally cationic silicon
center acts as the Lewis acidic site.21 The Lewis acid bound
C−F bonds in [TerphF′-SiMe2]+ are on average significantly
longer than those in 4 (1.416 Å vs 1.381 Å), which, when
considered alone, suggests that the C−F bonds of [TerphF′-
SiMe2]+ are more activated. The C−F···LA interaction energies
(as gauged by activation energies for ring rotation) in these
two species, however, suggest the opposite: for 4, this value is
approximately 13 kcal/mol, whereas for [TerphF′-SiMe2]+ it
was calculated (the process being fast on the NMR time scale
down to 233 K) to be 4.5 kcal/mol. Discussion of Δ1JC,F values
for each system provides a more complete picture: for
[TerphF′-SiMe2]+, Δ1JC,F is 16 Hz (1JC,F for TerphF′-SiMe2H
utilizing as a model system embodying a representative Caryl
−
F···LA interaction the fluorobenzene-tris(dimethyl ether)
lithium cation ([C6H5F···Li(OMe2)3]+) (Figure 7). This
Figure 7. Depiction of the [C6H5F···Li(OMe2)3]+ system utilized to
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study changes in JC,F as a function of dC−F and dF−Li. Geometry
optimizations followed by NMR calculations at the BP86/pcsSeg-2
level were performed for C−F bond distances between 1.34 and 1.40
Å in increments of 0.01 Å, and for F···Li distances of 2.0, 2.2, 2.4, 2.6,
is 247 Hz, while JC,F for [TerphF′-SiMe2]+, where only one
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3.0, 3.5, and 5.0 Å with a fixed C−F−Li angle of 135° to yield JC,F
signal is observed for all fluorinated carbons, is 239 Hz;
values and C−F bond Mayer bond orders. Carbon is shown as gray,
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assuming Lewis acid coordination has little effect on JC,F for
noncoordinated C−F bonds (as observed in 4), we calculate
the JC,F value for the silylium-coordinated C−F bonds to be
fluorine as green, hydrogen as white, lithium as purple, and oxygen as
red.
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231 Hz), whereas for 4 it is 25 Hz. Qualitatively weighing these
values alongside the C−F bond lengths in the context of the
broad trends presented in Figure 6 suggests instead that the
coordinated C−F bonds in 4 and [TerphF′-SiMe2]+ are both
quite activated, probably to similar extents, in spite of their
differing metrical parameters. This suggests that utilizing C−F
bond lengths as the sole descriptor of C−F···LA interactions is
ill-advised, and that a more complete description of these
interactions should also include a discussion of NMR or
computational data, or a combination of all three.
This point is made more obvious by considering the metric
of C−F bond lengths in a general sense: Analysis of the nearly
29 000 structures in the CSD containing uncoordinated aryl
C−F bonds shows that while each of the 18 structures
analyzed in Figure 6 has a C−F bond length longer than the
average aryl C−F bond (1.347 Å), two fall within one standard
deviation of the average (1.365 Å), and 12 fall within two
standard deviations (1.383 Å), including 4. In general, there is
a significant overlap between reported Lewis acid coordinated
aryl C−F bond lengths and free aryl C−F bond lengths, with
the numeric spread for both data sets being comparable in
magnitude to the differences between each set’s average,
further complicating the use of C−F bond length as a reliable
parameter (Figure 8). This could presumably be ameliorated
by referencing coordinated C−F bond lengths to the same
system was chosen for its chemical simplicity, and there is
little reason to expect that the use of another Lewis acidic
center would significantly change the outcome of this study; it
need only be true that the model system incorporate an aryl
C−F bond acting as a Lewis base and a site with a vacant
orbital acting as a Lewis acid.
To map the electronic landscape of various C−F···LA
interaction strengths, we performed a series of constrained
geometry optimizations, holding the C−F−Li angle fixed at
135° and the F−Li distance at either 2.0, 2.2, 2.4, 2.6, 3.0, 3.5,
or 5.0 Å (these F−Li distances were chosen to afford Mayer
bond order decreases between 0.18 and 0.06, in increments of
approximately 0.02), with the shorter and longer distances
serving as representative cases of strong and weak C−F···LA
interactions, respectively. For each F−Li distance, the C−F
distance was varied between 1.34 and 1.40 Å in increments of
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0.01 Å, and the JC,F value for each optimized structure was
calculated. Taking the calculated C−F bond Mayer bond order
as a metric for interaction strength, we compared the C−F
bond orders of each computed structure with the correspond-
ing values obtained for the neutral fluorobenzene molecule
with C−F distances similarly varied between 1.34 and 1.40 Å.
This allowed us to determine, for a given C−F bond length,
how activated a bond was as a direct result of interactions with a
F
Inorg. Chem. XXXX, XXX, XXX−XXX