Ionization and Tautomerization of 2-Nitrocyclohexanone
Table 3) and log kWKH (Table 4) against pK (Figure 6a) and
TABLE 6. Correlation Analysis for the Rates [log(kOHKH/p)] and
Equilibria [-log(K/p)] of Ionization of Some Ketones (compounds 6,
(
pK′ (Figure 7a) are linear over 20 and 16 pK units, respectively.
14, 15, 17, 20, and 3-NB of Scheme 2) with Selected Substituent
2
The correlation coefficient, R , of the plot of
2
Parameters (R ) Correlation Coefficient)
Figure 6a increases up to 0.98 if only the ketones of Table 3
are considered (Figure 6b). The Brønsted plot of Figure 6b
extends to 16 pK units with an R of 0.64, a value considerably
parameters
R2 log(kOHEH/p)
R2 - log(K/p)
Es
σI
σR
σm
0.886
0.491
0.109
0.626
0.948
0.573
0.053
0.697
2
5
higher than that (R ) 0.38) found by Amyes and Richard. It
should be noticed, however, that the reported25 R value refers
also to aldehydes, esters, and thioesters and refers to a lower
number of considered structures.25 The unusual linearity of the
correlation of Figure 6b is apparently against the prediction of
the Marcus theory. For the ketones of Table 3, a constant
A similar conclusion can be arrived at by the use of ∆ ) R
â as a measure of the imbalance at the transition state,2
6d
-
-
1
where R is the Brønsted coefficient determined by varying the
substituent in the ionization reaction of a series of selected
carbon acids by a given base, and â is the Brønsted coefficient
determined by varying the substituent in the protonation reaction
of a series of bases by a given carbon acid. Several ∆ values
have been calculated by using the R value (0.64) of the plot of
Figure 6b and the â values for the deprotonation of acetone
intrinsic barrier Λ ) 16.8 kcal mol can be calculated by a
linear interpolation of the data to pK ) 0. This Λ value can be
inserted into the Marcus equation (eq 12 derived at 298 K
25
without the inclusion of a work term, wr ) 0) in order to obtain
KH
a set of “calculated” log kOH
.
KH
log kOH ) 1/1.36{17.44 - w -
r
2
9
21
24c
2
(0.72), acetophenone (0.68), isobutirophenone (0.63), 2-
Λ[1 + (1.36pK - w )/(4Λ)] } (12)
r
30
and 3-acetylthiophenes (0.53), and 2-NCH (â ) 0.63, see
The calculated values of log kOHKH have then been plotted
against pK, and as expected, a curve is obtained (dotted line in
Figure 6b).
Results) by different bases. In all cases, ∆ values are small
(-0.08 e ∆ e +0.11), suggesting that the imbalance in the
TS is either low or absent. This conclusion is also supported
by a comparison of the R value (0.64) of Figure 6b with that
Individual intrinsic barriers, Λ′, can vice versa be calculated
KH
31
-
from the experimental values of log kOH by using eq 12. We
(1.54) for the ionization of arylnitroalkanes by OH , a reaction
2
6d,32
note that the obtained values (Table 3) are lower for more
reactive compounds, in agreement with the “reactivity-selectiv-
ity principle”.
with a strongly imbalanced transition state.
Further evidence of a minor contribution by resonance as the
product-stabilizing effect in the ionization of nitroketones by
-
Departure from Brønsted linearity has also been interpreted
OH may come from the application to 2-NCH and 3-NB of a
26
26d
in terms of the principle of nonperfect synchronization (PNS).
treatment previously proposed by Bernasconi in terms of
An elementary reaction generally involves more than one
concurrent and unequally developing molecular processes at the
imbalanced transition state. According to the PNS,26 “a product
eq 13
δ log K ) δ log k /(ân - â)
(13)
R
R
(
reagent)-stabilizing factor whose development at the transition
ref
where δ log KR ()log KR - log K ) and δ log kR ()log kR -
state is late lowers (enhances) the rate constant, whereas a
product (reagent)-stabilizing factor whose development at the
transition state is early enhances (lowers) the rate constant”.
ref
log k ) represent the change in the equilibrium constant and in
the rate constant, respectively, induced by the resonance effect,
with reference to a proton-transfer reaction (log K and log
k ) unaffected by resonance. Taking into account that the
overall effect of the nitro group on the acidity of an R hydrogen
of a ketone can be taken as 14.9 pK units from the ∆pKa of
ref
Product-stabilizing factors that typically develop late and hence
ref
26d
lower the rate constant are2
6a,b,27
resonance, solvation, intramo-
lecular hydrogen bonding, and specific electrostatic effects.
Resonance effects are considered particularly important in
enhancing the intrinsic barrier of reactions wherein the depro-
tonation of a carbon acid is activated by a π-acceptor substituent,
3
3
propanone and nitropropanone, the resonance contribution to
this effect can be estimated as 3.0 (20%) pK units for 2-NCH
and 3.9 (26%) pK units for 3-NB (if n ) 3 and â ) 0.63).
Thus, it appears that the resonance contribution to the overall
acidifying effect of the nitro group of R-nitroketones is smaller
as the nitro or the phenyl groups.2
5,26d
Therefore, the absence
of significant departures from the linearity of the Brønsted plot
of Figure 6b could mean that resonance does not play a major
role as a product-stabilizing factor in the ionization reaction of
the investigated ketones. We have tested this possibility by
2
6d
than that found for nitroalkanes (53%).
A possible reason for the unexpectedly overwhelming role
played by steric and inductive effects on the deprotonation of
nitroketones comes also from our molecular modeling study.
From the conformational search, several representative geom-
etries were found (Figure 8) for the keto form of 2-NCH (two
KH
means of a correlation analysis of log K or log kOH for some
2
8
R-substituted ketones with different substituent parameters
σm,σI,σR,Es). The results of Table 6 clearly show that steric
(
effects play the major role both for the equilibrium and for the
kinetic deprotonation processes, whereas resonance effect plays
a minor role.
(
29) Shelly, K. P.; Nagarajan, K.; Ross, S. Can J. Chem. 1987, 65, 1734-
738.
30) De Maria, P.; Fontana, A.; Spinelli, D. J. Chem. Soc., Perkin Trans.
1
(
(
26) (a) Bernasconi, C. F. Acc. Chem. Res. 1987, 20, 301-308. (b)
2 1991, 1067-1070.
Bernasconi, C. F. AdV. Phys. Org. Chem. 1992, 27, 119-238. (c)
Bernasconi, C. F. Tetrahedron 1985, 41, 3219-3234. (d) Bernasconi, C.
F. Acc. Chem. Res. 1992, 25, 9-16.
(31) Bordwell, F. G.; Boyle, W. J., Jr. J. Am. Chem. Soc. 1972, 94, 3907-
3911.
(32) However, it should be recalled that the anomalous R value for the
ionization reaction of arylnitroalkanes has been alternatively attributed by
Cox to a solvent effect: Cox, B. G.; Gibson, A. J. Chem. Soc., Chem.
Commun. 1974, 638-639.
(33) Chiang, Y.; Kresge, A. J.; Schepp, N. P. J. Am. Chem. Soc. 1989,
111, 3977-3980.
(
27) Bernasconi, C. F. AdV. Chem. Ser. 1987, 215, 115-133.
(28) (a) Unger, S. H.; Hansch, C. Prog. Phys. Org. Chem. 1976, 12,
9
1-118. (b) Hansch, C.; Leo, A.; Unger, S. H.; Kim, K. H.; Nikaitani, D.;
Lien, E. J. J. Med. Chem. 1973, 16, 1207-1216. (c) Ehrenson, S.; Brownlee,
R. T. C.; Taft, W. Phys. Org. Chem. 1973, 10, 1-80.
J. Org. Chem, Vol. 72, No. 11, 2007 4045