Denegri and Kronja
carbonates enabled us to determine the ability of alkyl and aryl
carbonate anions as the leaving groups quantitatively and relate
their solvolytic behavior to commonly used leaving groups.
Analogously to Mayr’s procedure in construction of the
nucleophilicity/electrophilicity scales,5 the nucleofugality/elec-
trofugality scales based on studying the solvolysis rates of a
large variety of substituted benzhydryl substrates with different
leaving groups in various solvents were developed recently. The
absolute rate of the heterolysis reaction (SN1) can be estimated
with reasonable accuracy according to the following three-
parameter LFER equation:6
leaving groups (e.g., chloride, bromide, tosylate, p-nitrobenzoate,
etc.).6a In order to calculate the nucleofugality parameters (Nf)
-
and the slope parameters (sf) for phenyl carbonate (C6H5OCO2
;
1LG) and methyl carbonate (CH3OCO2-; 2LG), logarithms of
the first-order rate constants were plotted against Ef. Excellent
linear correlations were obtained (Table 2). The nucleofuge-
specific parameters calculated from the equation given above
are presented in Table 2. Selected plots of log k against Ef are
given in Figure 1 (for all correlation lines, see Supporting
Information).
In order to obtain nucleofuge-specific parameters (Nf and sf)
for 1LG and 2LG in commonly used solvents in which kinetic
data could not be collected at conventional temperatures by
log k ) sf (Ef + Nf)
(1)
conventional methods, log k values were plotted against YOTs
.
in which k is the first-order rate constant (s-1), sf is the
nucleofuge-specific slope parameter, Nf is the nucleofugality
parameter, and Ef is electrofugality parameter.
From log k/YOTs plots obtained in 60-90% aq ethanol (v/v) for
both 1 and 2, the reaction rates in pure ethanol and in 50% aq
ethanol were obtained by extrapolation. Similarly, the extrapo-
lated rates for 1 and 2 were extracted for 70% aq methanol
(v/v) and for 1 in 80% aq acetone (v/v). By applying log k/Ef
correlations, the nucleofuge-specific parameters were calculated
in pure and 50% ethanol (v/v), in 70% methanol (v/v), and in
80% acetone (v/v) from extrapolated kinetic data (see Tables 1
and 2). YOTs has been chosen because of the similarity in
structure of the tosylate as a leaving group and the carbonates,
although correlations of log k with YCl and log k with YBr gave
the same results.
The nucleofugality (Nf) is obtained for the leaving group in
a given solvent, while the electrofugality parameters (Ef) are
independent variables that refer to the carbocation generated in
the heterolysis reaction (SN1). Such an approach separates the
contributions of electrofuge and nucleofuge to overall solvolytic
reactivity. Predefined parameters are Ef ) 0.00 for dianysyl-
carbenium ion (X ) Y ) 4-OCH3) and sf ) 1.00 for chloride
nucleofuge in pure ethanol.6a,c In this special type of the linear
free energy relationship, nucleofugality (Nf) of the given leaving
group is defined as the negative intercept on the abscissa of
log k (25 °C)/Ef plot.
According to the kinetic measurements, it is evident that
solvolysis of all substrates 1 and 2 follow SN1 type displacement
reaction. The most important parameters that indicate formation
of the positive charge in transition state are the slopes of the
reactions (Table 2), which are in the same range as sf obtained
in solvolysis of benzhydryl derivatives with other nucleofuges
studied earlier.6a For example, the corresponding slopes obtained
in solvolysis of benzhydryl tosylates are in the range between
0.75 and 0.89, while those of chlorides are between 1.02 and
0.98. Since Ef values correlate very well with Hammett σ+
values (r2 ) 0.992), the slope parameter can be easily related
to F+, which was already suggested by Bentley, stating that sfEf
is compatible with F+σ+.7 Therefore, sf values obtained show
that the extent of the positive charge on the reaction center
generated in the transition state in solvolysis of benzhydryl
carbonates is comparable to the extent of positive charge
generated in solvolysis of benzhydryl derivatives with common
leaving groups that follow the SN1 route. This conclusion rules
out the addition/elimination mechanism established for numer-
ous carbonates.
Results and Discussion
Kinetic Studies. A series of benzhydryl phenyl carbonates
(1) and benzhydryl methyl carbonates (2) were prepared from
the corresponding benzhydrols and phenyl chloroformate and
methyl chloroformate, respectively, according to the methods
presented in the Experimental Section. The substrates were
designed to enable all measurements at 25 °C, by adjusting the
electrofugality of the benzhydrylium system (selecting appropri-
ate X and Y on the benzhydryl rings). The solvolysis rates were
measured in various solvents at 25 °C conductometrically or/
and by potentiometric titration of the liberated acid. Details are
given in Kinetic Methods (Experimental Section). The first-
order rate constants are presented in Table 1.
Product Analysis. In order to get additional evidence for
the solvolysis mechanism, we analyzed the reaction products.
Series of benzhydryl phenyl carbonates 1 (X ) 4-OCH3, Y )
4-OPh; X ) 4-OCH3, Y ) 4-CH3; and X ) 4-OCH3, Y ) H)
and benzhydryl methyl carbonates 2 (X ) 4-OCH3, Y )
4-OCH3; X ) 4-OCH3, Y ) 4-OPh; X ) 4-OCH3, Y ) 4-CH3;
and X ) 4-OCH3, Y ) H) were solvolyzed for approximately
10 reaction half-lives in 100% methanol and 100% ethanol, and
the products were isolated and analyzed by means of NMR.
The key product that can rule out the second-order addition/
elimination reaction and prove SN1 displacement reaction is the
benzhydryl methyl ether (for methanolysis) and benzhydryl ethyl
ether (for ethanolysis) since these products can arise only if
substitution on the secondary benzhydryl carbon occurs. In pure
Electrofugality parameters (Ef) for all benzhydryl cations that
are generated in solvolysis of the carbonates investigated here
have previously been determined and also used as a basis set
of Ef values for determining Nf and sf parameters of numerous
(5) (a) Mayr, H.; Bug, T.; Gotta, M. F.; Hering, N.; Irrgang, B.; Janker,
B.; Kempf, B.; Loos, R.; Ofial, A. R.; Remennikov, G.; Schimmel, H. J.
Am. Chem. Soc. 2001, 123, 9500-9512. (b) Mayr, H.; Kempf, B.; Ofial,
A. R. Acc. Chem. Res. 2003, 36, 66-77.
(6) (a) Denegri, B.; Streiter, A.; Juric´, S.; Ofial, A. R.; Kronja, O.; Mayr,
H. Chem.sEur. J. 2006, 12, 1648-1656. (b) Denegri, B.; Ofial, A. R.;
Juric´, S.; Streiter, A.; Kronja, O.; Mayr, H. Chem.sEur. J. 2006, 12, 1657-
1666. (c) Denegri, B.; Minegishi, S.; Kronja, O.; Mayr, H. Angew. Chem.,
Int. Ed. 2004, 43, 2302-2305.
(7) Bentley, T. W. Chem.sEur. J. 2006, 12, 6514-6520.
8428 J. Org. Chem., Vol. 72, No. 22, 2007