Catalysis of Phosphodiester Cleavage by Imidazoles
A R T I C L E S
unimolecular reactions,25 and values close to -25 e.u. are
commonly observed for bimolecular reactions:15 but these are
guidelines rather than rules. Thus ∆S‡ values of -3.9 e.u. and
-14.4 e.u. have been observed in relevant unimolecular
intramolecular nucleophilic reactions;21,25 and the formally
bimolecular reactions of methyl 8-dimethylamino-1-naphthyl
phosphate with water (∆S‡ ) -12.0 e.u) and three other
nucleophiles (∆S‡ ) 18.8-24.8 e.u.) differ significantly.11 Thus
∆S‡ ) -9.05 ( 0.5 e.u. also is consistent, but not uniquely
consistent, with the bifunctional nucleophilicsgeneral acid
catalysis mechanism for the hydrolysis of BMIPP(. A triester-
like mechanism involving protonation of a nonbridging oxygen26
can be ruled out in the hydrolysis of BMIPP(, since such
catalysis is known to cause small rate enhancements.26
Buffer Catalysis. The much higher EMs typically observed
for intramolecular nucleophilic catalysis9 mean that reactions
with the limited concentrations of external nucleophiles available
in solution cannot compete. So a simple but reliable test of
mechanism which is the presence or absence of such catalysis
was carried out. The hydrolysis reactions of phosphate esters
are often strongly accelerated in the presence of external
nucleophiles, especially the exceptionally reactive R-nucleo-
philes. For example, cleavage of bis(2,4-dinitrophenyl) phos-
phate is 104-fold faster,27 and the reaction of the triester diethyl
8-(N,N-dimethylamino)-1-naphthyl phosphate is 105-fold faster
in the presence of 0.5 M hydroxylamine, compared with the
reactions with water.28 We find that the rate of disappearance
of BMIPP is not affected by added 1 M acetate, 1 M imidazole,
or even the R-nucleophile hydroxylamine (also 1M), over the
pH range 4-8 at 60 °C. Fitting the data to eq 1 gives values
for k3 identical within experimental error (<1.3 × 10-4) to that
obtained previously (Table 1). (For details see Figure S8 and
Tables S9-S10 of the Supporting Information.) This is prima
facie evidence against the IGBC-IGAC mechanism (path A of
Scheme 3), unless the intramolecular general base catalysis
shows unprecedented efficiency.
Product Characterization by NMR. 1H and 31P NMR spectra
taken at regular time intervals during the course of BMIPP
hydrolysis in D2O are shown in Figures 10 and 11 in the
Experimental Section. Three species were observed: BMIPP,
which gives the stable phenol product Me-3 plus the monoester
Me-2 as an intermediate, which is itself hydrolyzed more slowly
to a second molecule of Me-3 and inorganic phosphate.
Figure 2 shows relative concentrations of the three compounds
measured by 31P NMR as they appear or disappear during the
course of the reaction. The solid curves in the figure represent
fits to a consecutive-reaction model. The derived rate constants
(kobs) for the hydrolysis of BMIPP at pD 7.2 and of Me-2 at
pD 1.5 are 3.0 × 10-4 and 2.7 × 10-6 s-1, respectively.
Computational Calculations. To better understand the struc-
tures and likely behavior of reactants, transition states, and
possible intermediates in the reaction path leading from BMI-
PP( to Me-2 and Me-3, we performed computational calcula-
tions at the B3LYP level to compare the two mechanisms
described in Scheme 3: intramolecular general base catalysis
of the attack of a water molecule on phosphorus (path A) and
intramolecular nucleophilic attack of the imidazole group on
Table 3. Kinetic Parameters for the Hydrolysis of BMIPP, Derived
from Data for kobs Measured between pH 5.5-8.0 (See Supporting
Information)
a
a
Conditions
k3 10-3 s-1
pKa2
pKa3
50 °C, H2O
60 °C, H2O
70 °C, H2O
80 °C, H2O
60 °C, D2O
0.77
1.98
3.52
7.15
1.39
6.24
6.12
5.80
5.58
6.91
6.99
6.98
6.83
6.79
7.51
a Values of pKa2 and pKa3 were estimated from the fit of the kinetic
data at each temperature.
in the case of the less basic carboxylate, but the COOH a
correspondingly stronger general acid. The acyl phosphates
produced by the initial nucleophilic attack have been identified
as intermediates in the reactions of 7 and 8,20,21 so the
involvement of the stronger, imidazole, nucleophile in a system
with almost identical geometry and closely similar leaving group
would not be surprising.
Kinetic Isotope Effect and Thermodynamic Parameters. The
hydrolysis of the zwitterionic species BMIPP( is characterized
by a low deuterium isotope effect, kH O/kD O ) 1.42 (data from
2
Table 3), consistent with a single proton tra2nsfer in the transition
state for the bifunctional intramolecular catalysis.6,24 Low values
close to unity are expected for the nucleophilic part of the
mechanism (e.g., kH/kD ) 1.10 for the hydrolysis of 2-carbox-
yphenyl-3-nitrophenyl phosphate, which involves nucleophilic
intramolecular catalysis by carboxylate25) but are observed also
for various reactions involving intramolecular general acid
catalysis of the hydrolysis of phosphate diesters (Table 2). Thus
kH/kD ≈ 1.70 for the hydrolysis of 4,11 where the dimethylam-
monium center promotes efficient intramolecular acid catalysis,
and kH/kD ) 1.9 for the hydrolysis of the anion of 8, which
involves bifunctional nucleophilic-general acid catalysis by the
two carboxy groups.21 The kinetic isotope effect, kH O/kD O
)
2
2
1.42, observed for the hydrolysis of BMIPP(, is consistent,
though not uniquely consistent, with the bifunctional nucleo-
philic-general acid catalysis mechanism and so is not of itself
sufficient evidence to rule out the mechanism (path A in Scheme
3) involving two rather than one proton transfers in the rate-
determining transition state.
The activation parameters calculated for the hydrolysis of
BMIPP(, with the rate constants given in Table 3, are ∆H‡ )
19.0 ( 1.2 kcal/mol and ∆S‡ ) -9.05 ( 0.5 e.u., giving a
Gibbs free energy, calculated at 25 °C, of 21.7 ( 1.4 kcal mol-1.
In principle, entropy values close to zero are expected for
(20) Kirby, A. J.; Abell, K. W. Y. J. Chem. Soc., Perkin Trans. 2 1983, 8,
1171–1174.
(21) Bruice, T. C.; Blasko´, A.; Arasasingham, R. D.; Kim, J. S. J. Am.
Chem. Soc. 1995, 117, 12070–12077.
(22) Jencks, P. J. Catalysis in Chemistry and Enzymology; Dover Publica-
tions, Inc.: New York, 1987.
(26) Anslyn, E. V.; Piatek, A. M.; Gray, M. J. Am. Chem. Soc. 2004, 126,
9878–9879.
(23) Kirby, A. J.; Younas, M. J. Chem. Soc. B 1970, 510–513.
(24) Khan, S. A.; Kirby, A. J. J. Chem. Soc. B 1970, 1172–1182.
(25) Khan, S. A.; Kirby, A. J.; Wakselman, M. J. Chem. Soc. B 1970,
1182–1187.
(27) Domingos, J. B.; Longhinotti, E.; Bunton, C. A.; Nome, F. J. Org.
Chem. 2003, 68, 7051–7058.
(28) Kirby, A. J.; Tondo, D. W.; Medeiros, M.; Souza, B. S.; Priebe, J. P.;
Lima, M. F.; Nome, F. J. Am. Chem. Soc. 2009, 131, 2023–2028.
9
J. AM. CHEM. SOC. VOL. 132, NO. 24, 2010 8517