Lithium and Cesium Ion-Pair Acidities of Dibenzyl Ketone
J . Org. Chem., Vol. 61, No. 14, 1996 4591
establish the individual spectra of the CIP and SSIP of
Li2DBK because the usual approach17 of modeling these
two extremes taking spectra in different solvents or with
different counterions or upon addition of complexing
agents was not applicable. The state of Li2DBK in THF
solutions can be qualitatively described as a mixture of
contact-contact and contact-solvent separated triple
ions. An example of the formation of such dual-type
triple ions with lithium cations was shown previously for
the dilithium salt of 9,9′-bifluorenyl.18 It is also signifi-
cant that the spectrum of the dicesium salt is in between
that of the CIP-SSIP and CIP-CIP dilithium salt.
Ion P a ir Acid ity. Ion pair acidities are defined by
the transmetalation equilibrium of eq 2, in which HA is
the acid whose pK is to be measured and HIn is a suitable
indicator; the equilibrium constants are converted to pK
differences.
F igu r e 4. Spectra of the dilithium salt of dibenzyl ketone in
THF at different temperatures.
HA + M+In- y
\
Kz HIn + M+A-
(2)
dianion plane.12 A comparable structure seems reason-
able for Cs2DBK as symbolized in 2. Ab initio calcula-
tions on the dilithium13 and dicesium14 salts of acetone
give similar structures. In the complex, 3, coordination
of the exposed oxygen to the metal cation of the enolate
seems reasonable. The repulsion of the third cation to
the first two approximately compensates for the attrac-
tion of the π-cations to the additional oxide anion. The
stabilization is then approximately the same as in the
enolate dimer itself. Comparison with (diphenylallyl)-
-log K ) pKHA - pKHIn
The pK differences are converted to absolute pKs by
assigning a reference indicator, fluorene, its pK value of
22.9 in DMSO.8 In this way we have established ion pair
pKs for lithium19 and cesium10 ion pairs in tetrahydro-
furan. All pK values are statistically corrected to reflect
the acidity per hydrogen.
The indicators used for the cesium ion-pair acidity
measurements of DBK were 9-phenylfluorene (pK 18.15)
and 9-biphenylylfluorene (pK 17.72).10 Experimental pK
values at different concentrations of CsDBK are pre-
sented in Table S2. The decrease of the observed pK with
increasing formal concentration of corresponding salt was
shown previously for ketones7,20 and other compounds9,21
to result from aggregation of ion pairs to dimers or higher
aggregates. The aggregation shifts the equilibrium 2 to
the right, increasing the apparent K. A plot of the
observed pK of the cesium enolate vs the logarithm of
its total concentration is shown in Figure 5. In such plots
the slope at any point is related to the mean degree of
aggregation at that point.20 For benzylic ketones such
plots are curved and can be analyzed as monomer-dimer
equilibria.7 At concentrations above 5 × 10-4 M the plot
becomes virtually linear with a slope corresponding to a
dimer.
For a monomer-dimer equilibrium, a plot of the exper-
imental equilibrium constants K in eq 2 vs C/K (C is
overall concentration of salt) can be shown to be linear.
Figure 6 shows such a plot for the present case. The
intercept gives the equilibrium constant for the monomer,
and the slope is equal to 2K2K2, in which K2 is the
dimerization constant (n ) 2 in equilibrium 1).9 The
monomer cesium ion-pair pK of DBK is 18.07 ( 0.03, and
the dimerization constant is (3.5 ( 0.5) × 103 M-1. The
errors are those arising from standard deviations of
intercept and slope. The error is larger for the dimer-
ization constant because it includes errors in both the
intercept and slope. The theoretical line corresponding
cesium is also interesting. The cesium salt has λmax
)
538 nm in THF.15 Even a simple Hu¨ckel treatment
predicts that DBK dianion has a higher transition energy
than the allylic anion; thus the electrostatic effect of the
O- substituent is relatively small and, accordingly, the
replacement of this substituent by the more complex
substituent in 3 has no significant further effect.
Solutions of Li2DBK were obtained by titration of a
solution of LiDBK in THF by lithium diisopropylamide
(LDA). No changes in spectra were observed by a change
in the concentration of Li2DBK or by addition of LiBPh4.
These results suggest no significant dissociation of the
salt to free ions or formation of dimer. However, the
broader spectral band of Li2DBK (A in Figure 3) com-
pared to Cs2DBK and its lower extinction coefficient
(Table 1) suggest the presence of more than one species
in solution. The spectra of Li2DBK at temperatures from
-17 to +52 °C show a gradual shift of λmax from 502 to
491 nm with an isosbestic point at 492.5 nm (Figure 4).
This behavior is typical of an equilibrium between solvent
separated and contact ion pairs (SSIP and CIP) of
organolithium compounds.16,17 We were not able to
(12) Dietrich, H.; Mahdi, W.; Wilhelm, D.; Clark, T.; Schleyer, P. v.
R. Angew. Chem. 1984, 96, 623-5.
(17) Gronert, S.; Streitwieser, A., J r. J . Am. Chem. Soc. 1988, 110,
2836-2842 and references cited therein.
(13) Kos, A. J .; Clark, T.; Schleyer, P. v. R. Angew. Chem. 1984, 96,
622-3.
(18) Stratakis, M.; Streitwieser, A. J . Org. Chem. 1993, 58, 1989-
1990.
(14) Abu-Hasanayn, F.; Streitwieser, A. Unpublished results.
(15) Thiele, G.; Streitwieser, A. J . Am. Chem. Soc. 1994, 116, 446-
454.
(16) Smid, J . in Ions and Ion Pairs in Organic Reactions; Szwarc,
M., Ed., Wiley-Interscience: New York, 1972; Vol. 1, p 85.
(19) Kaufman, M. J .; Gronert, S.; Streitwieser, A., J r. J . Am. Chem.
Soc. 1988, 110, 2829-2835.
(20) Kaufman, M. J .; Streitwieser, A., J r. J . Am. Chem. Soc. 1987,
109, 6092-6097.
(21) Gareyev, R.; Streitwieser, A. J . Org. Chem., in press.