1,3-Di-tert-butylimidazol-2-ylidene
A R T I C L E S
either THF or DMSO. The derived pKa for 1-H+ in DMSO is
22.7. This value is appreciably lower than the value of 24
reported for a close analogue of 1.6 We note in Table 1 also
the significant ion pairing found in DMSO; Olmstead and
Bordwell have also reported a number of salts that ion pair
appreciably in DMSO.17 Thus, we suggest that Alder et al.6
measured both ion pair and free ion as their anionic species,
which would lead to a pKa that is too high. For example,
combining the ion pair and free ion concentrations in our DMSO
experiment gives a “pKa” of 23.04, which is significantly higher
than that for free ions alone. At the higher concentrations of a
NMR measurement this value would be expected to be still
higher; nevertheless, the two carbenes are different structures
and even the corrected pKa could well be different.
Even with the corrected values, the carbene 1 is still
effectively somewhat more basic in DMSO than in THF. The
most likely explanation is the following. It is well-known that
hydrocarbons with delocalized carbanions have comparable pKa
values in water and in DMSO; neither the hydrocarbon acid
nor the delocalized conjugate base is significantly stabilized by
hydrogen bonding. Hydroxylic acids, however, are generally
less acidic in DMSO than in water; in water, both acid and
conjugate base are stabilized by hydrogen bonding but in DMSO
only the hydroxylic acid is so stabilized. Similarly, the proto-
nated carbene 1-H+ can be stabilized by hydrogen bonding in
DMSO but not the carbene itself.
Figure 2. Plot of {fluorenyl anion} vs ([RH][carbene])1/2 for fluorene and
1 in DMSO at 25 °C. The regression curve shown is (1.30 ( 0.05)x +
(54.36 ( 9.45)x2; R2 ) 0.998. Calculated Kd ) 0.031 M, Ki ) 1.68, and
Kip ) 54 M-1
.
proximately constant for the indicator hydrocarbons, differences
in the ion pair pKLi are equal to the differences in pKa.12
Accordingly, pKLi - pKi in Table 1 should be approximately
constant and it is. The resulting value, 14.9 ( 0.1, has no other
fundamental significance but does demonstrate the self-
consistency of the experiments.
A plot of pKip in Table 1 vs pKLi for the corresponding
indicators gives a linear fit with a slope of 0.74 ( 0.08, a value
similar to that, 0.75, reported earlier for similar equilibria
between DBU and indicator hydrocarbons.11 The compressed
sensitivity for pKip results from changing of the dissociation
constant, Kd. The more basic indicators have tighter ion pairs
and smaller Kd values; the same effect occurs with the cesium
contact ion pair indicator salts.12 This plot gives pKip ) 0 for
pKLi ) 20, which puts a lithium salt of this pKLi and the carbene
1 at the same level of effective basicity, a level several pK units
less basic than that reported in DMSO solution. That is, in THF
the carbene is as basic as the lithium salt of a compound having
an “ion pair pK” of 20 on our lithium scale. To the extent that
this type of comparison is appropriate the carbene is effectively
relatively less basic than in DMSO. One possible explanation
for such a difference is that homoconjugation could be occurring
for the carbene in DMSO; such homocojugation has been
demonstrated for some amines in acetonitrile solution.15 To test
this possibility we applied the method of eqs 2-4 to DMSO
solution.
From the UV-vis spectra we found that fluorene is depro-
tonated when similar amounts of carbene are present as
previously reported.6 The reported extinction coefficients16 in
DMSO were used for the calculation of the concentration of
{R-}. The UV-vis spectra for the anion decreased and
generated unknown peaks to a significant extent after 1 day.
This observation shows that there is ongoing reaction and
gradual decomposition. Thus, the spectral measurements were
limited to a 2-3 h period. The resulting experimental points
(Table S2, Supporting Information) do not fit either eq 3 or eq
4 but do fit eq 2 well (Figure 2). Accordingly, we find no
evidence for homoconjugation of the protonated carbene in
Theory
One of the remaining questions concerns the structure of the
ion pair: is it a type of charge-transfer complex with the two
ring systems parallel or is the central CH of 1-H+ directed
toward the anionic ring system? This question was addressed
with the help of ab initio computations of a model system,
protonated 2,5-dimethylimidazole, 5-H+, and cyclopentadienyl
anion. Ab initio calculations, RHF 6-31+G*, were carried out
with PC Spartan18 and Gaussian98.19 All energies and coordi-
nates for the imidazolium complexes are summarized in Table
S3 (Supporting Information). The energies are summarized in
Table 2. Stationary points were characterized by frequency
calculations.
Starting with 5-H+ in a plane perpendicular to the Cp plane
and with the central C-H pointing at the center of the Cp ring
gave a second-order saddle point with the distance between the
ring center and the H of 5-H+ of 2.089 Å. Relaxing this structure
led to a transition structure, 6A (one imaginary frequency), 0.11
kcal mol-1 lower in energy with the C-H of 5-H+ pointing to
the center of a CC bond in Cp at a distance of 2.210 Å (Figure
3). Starting with a charge-transfer type structure with the 5-H+
and Cp rings parallel and separated by 2.95 Å led to another
transition structure, 6B (Figure 3), in which the central CH bond
(17) Olmstead, W. N.; Bordwell, F. G. J. Org. Chem. 1980, 45, 3299-3305.
(18) PC Spartan Pro; Wavefunction, Inc.; Irvine, CA, 1996-2000.
(19) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M.
A.; Cheeseman, J. R.; Zakrzewski, V. G.; Montgomery, J. A., Jr.; Stratmann,
R. E.; Burant, J. C.; Dapprich, S.; Millam, J. M.; Daniels, A. D.; Kudin,
K. N.; Strain, M. C.; Farkas, O.; Tomasi, J.; Barone, V.; Cossi, M.; Cammi,
R.; Mennucci, B.; Pomelli, C.; Adamo, C.; Clifford, S.; Ochterski, J.;
Petersson, G. A.; Ayala, P. Y.; Cui, Q.; Morokuma, K.; Malick, D. K.;
Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.; Cioslowski, J.; Ortiz,
J. V.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.;
Gomperts, R.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng,
C. Y.; Nanayakkara, A.; Gonzalez, C.; Challacombe, M.; Gill, P. M. W.;
Johnson, B.; Chen, W.; Wong, M. W.; Andres, J. L.; Gonzalez, C.; Head-
Gordon, M.; Replogle, E. S.; Pople, J. A. Gaussian 98; Gaussian, Inc.:
Pittsburgh, PA, 1998.
(15) Augustin-Nowacka, D.; Chmurzyn˜ski, L. Anal. Chim. Acta 1999, 381, 215-
220. Galezowski, W.; Jarczewski, A.; Stanczyk, M.; Brzezinski, B.; Bartl,
F.; Zundel, G. J. Chem. Soc., Faraday Trans. 1997, 93, 2515-8. Pawlak,
Z.; Urban˜czyk, G. J. Mol. Struct. 1988, 177, 401-406. Coetzee, J. F.;
Padmanabhan, G. R. J. Am. Chem. Soc. 1965, 87, 5005.
(16) Steiner, E. C.; Gilbert, J. M. J. Am. Chem. Soc. 1965, 87, 382.
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