9340 J. Am. Chem. Soc., Vol. 123, No. 38, 2001
Hoff et al.
measured by matrix assisted laser desorption/ionization time-of-flight
mass spectrometry, using a nitrogen laser at 337 nm and a 2.1 m linear
TOF mass spectrometer. The results are shown in Figure 1S of the
Supporting Information. Integration of the results showed that 64.6%
of the product was triply labeled in the nonbridge position, with the
remainder doubly labeled. This percentage was used in the mathematical
correction of the observed isotope effect.
Isotope Effect Determinations. The protocols for carrying out these
experiments were the same as those previously described for p-
nitrophenyl phosphate.19 In this method the reactions are allowed to
proceed to partial completion and stopped, followed by separation of
the product and residual substrate. These are then subjected to isotopic
analysis by isotope ratio mass spectrometry to determine the nitrogen
isotope ratios.
The 15N isotope effects were measured using natural abundance
pNPS. The 18O isotope effects were measured by the remote-label
method.22 In these experiments the nitrogen atom in the reactant is used
as a reporter for the bridging oxygen atom or the nonbridging oxygen
atoms. These experiments yield an observed isotope effect that is the
product of the effect due to 15N and that due to 18O substitutions. The
observed isotope effects from these experiments were then corrected
for the 15N effect and for incomplete levels of isotopic incorporation
in the starting material as previously described.23
Kinetics Experiments. The potassium salt of pNPS was used in all
aqueous kinetic experiments. Concentrations of pNPS used for kinetic
runs were 5-13 mM. Thermostatically controlled water baths or dry
blocks were used to maintain reaction temperatures over the course of
the experiments.
Isotope effects were measured for the hydrolysis of pNPS under
three conditions: in 100 mM CHES buffer at pH 9.0 at 85 °C, in 1.0
N HCl at 65 °C and 21 °C, and in 10 N HCl at 15 °C. Reactions were
begun with 100 µmol of pNPS. Experiments were performed in
triplicate with individual experiments stopped at fractions of reaction
ranging from 30 to 60%. Extents of reaction were measured by assaying
for p-nitrophenol in 0.1 N NaOH at 400 nm. The reactions at pH 9
were stopped by chilling the solutions on ice; the acidic reactions were
stopped by titration to pH 5. After the reaction solutions were titrated
to pH 5 they were extracted three times with an equivalent volume of
ethyl ether to quantitatively remove the p-nitrophenol product. The
aqueous layer was evaporated briefly under vacuum to remove dissolved
ether, sufficient 10 N HCl was added to bring the solution to at least
1.0 N in HCl, and the solutions were heated overnight to 80 °C to
completely hydrolyze the remaining pNPS. They were then titrated back
to pH 5 and extracted with ether, the p-nitrophenol in this ether fraction
representing the residual substrate from the initial reaction. The ether
fractions were dried over magnesium sulfate and filtered, and the solvent
was removed by rotary evaporation. The p-nitrophenol was sublimed
under vacuum at 90 °C, and 1.0 mg samples were prepared for isotopic
analysis using an ANCA-NT combustion system in tandem with a
Europa 20-20 isotope ratio mass spectrometer.
Reactions performed in 10 N HCl provided some challenges in terms
of kinetic control. At this concentration of acid, the hydrolysis rate
was very high; hence, time spent in mixing the reactant into the solution
was critical. The pNPS was dissolved in a small measured volume of
water. The volume of water was calculated to bring a measured volume
of concentrated HCl to 10 N when the two were combined. To prevent
a large temperature rise due to the production of heat upon mixing,
the solutions were cooled to a temperature below the desired reaction
temperature such that when the reactants were combined the heat
evolved would not raise the temperature of the mixture above the
desired temperature. To stop these reactions, the 10 N acid solution
was rapidly combined with 10 times its volume of ice-cold 1.0 N NaOH.
A small (<5%) excess of base was used to ensure the resulting solution
would be basic, where the reaction is orders of magnitude slower. This
cold solution was assayed for p-nitrophenol and then titrated to pH 5
and handled as described above to isolate product from unreacted pNPS.
Isotope effects were calculated from the isotopic ratios at partial
reaction in the p-nitrophenol product (Rp), in the residual substrate (Rs),
and in the starting material (Ro). Equations 1 and 2 were used to
calculate the observed isotope effect either from Rp and Ro or from Rs
and Ro respectively at fraction of reaction f.21 Thus each experiment
yields two independent determinations of the isotope effect.
The pH-independent aqueous reaction was examined in 100 mM
TRIS buffer at pH 9.0 at temperatures from 35 to 95 °C. Over time,
aliquots were removed and added to measured portions of 0.1 N NaOH,
and reaction progress was monitored spectrophotometrically by tracking
the evolution of the p-nitrophenol hydrolysis product at 400 nm (ꢀ )
18 320).24 The plot of absorbance versus time over the first 1-5% of
reaction was analyzed by assuming first-order kinetics using the initial
rates method. To determine the initial substrate concentration, an aliquot
of the reaction mixture was subjected to complete hydrolysis in a
measured amount of 1.0 N HCl, which was heated at 80 °C for 4 h
and then assayed for p-nitrophenol.
Reactions in tert-amyl alcohol were performed using the tetrabuty-
lammonium salt of pNPS. In cases where the reactions were very slow,
concentrations as high as 80 mM were used to obtain measurable
changes in the composition of the reaction mixture. Evolution of free
phenol was quantified by adding aliquots of the reaction solution to
measured portions of 50% aqueous ethanol, which was 0.1 N in NaOH.
The solutions were then analyzed spectrophotometrically for phenolate
ion at 405 nm (the λmax is slightly shifted in the ethanolic solution).
Rate constants were measured using the initial rates method.
Reactions in DMSO/water mixtures were carried out using the
potassium salt of pNPS. Reactions were 5 mM in pNPS, 0.1 M in CHES
buffer, pH 9, with ionic strength of 1.0 maintained using tetraethyl-
ammonium chloride. Fractions of DMSO ranged up to 95%, and rates
were measured at temperatures from 60 to 90 °C. The pKa of the buffer
and of the pNPS, and the effective pH of the solution, will vary
somewhat with the DMSO content of the solution. However the very
broad pH-independent range for hydrolysis and the very low pKa of
pNPS give confidence that the anion is the reactive species present.
Rate constants were measured using the initial rates method, assaying
for released p-nitrophenol by adding aliquots of the reaction mixtures
to 0.1 N NaOH.
Results
Values of the first-order rate constants for the reactions of
pNPS at pH 9.0 in aqueous solution, in 95% DMSO/water
mixtures, and in neat tert-amyl alcohol were determined by
following the liberation of p-nitrophenolate anion spectropho-
tometrically. The rate constants for these reactions gave linear
Eyring plots (Figures 2S and 3S) which were used to calculate
the enthalpies and entropies of activation. The enthalpy of
activation for each reaction was calculated from the slope. The
free energy of activation for each reaction was calculated at 35
°C using the equation ∆Gq ) -RT ln(kTh/kT), and the entropy
of activation was then calculated using the relation ∆Sq ) (∆Hq
- ∆Gq)/T. Table 1 shows the rate and activation parameter data
for these reactions. The pH-independent hydrolysis rate of pNPS
at 35 °C, and the activation parameters are in reasonable
agreement with previously reported data.2
isotope effect ) log(1 - f)/log(1 - f (Rp/Ro))
isotope effect ) log(1 - f)/log [(1 - f) (Rs/Ro)]
(1)
(2)
RO was determined by two methods: from unreacted pNPS by
isotope ratio mass spectrometry, and, as a control, from p-nitrophenol
isolated after complete hydrolysis of a sample of pNPS using the same
isolation and purification procedures used in the isotope effect
experiments. The agreement of these two numbers demonstrated that,
within experimental error, no isotopic fractionation occurs as a result
of the procedures used to isolate and purify the p-nitrophenol.
(22) O’Leary, M. H.; Marlier, J. F. J. Am. Chem. Soc. 1979, 101, 3300-
3306.
(23) Caldwell, S. R.; Raushel, F. M.; Weiss, P. M.; Cleland, W. W.
Biochemistry 1991, 30, 7444-7450.
(24) Kirby, A. J.; Varvoglis, A. G. J. Am. Chem. Soc. 1967, 89, 415-
423.
(21) Bigeleisen, J.; Wolfsberg, M. AdV. Chem. Phys. 1958, 1, 15-76.