12090 J. Am. Chem. Soc., Vol. 119, No. 50, 1997
Kluger et al.
Scheme 1
Scheme 2
were fit to the integrated first-order rate law by nonlinear regression.
The pseudo-first-order kinetic data were used to measure dependence
on concentrations of added species.
For reactions in solutions more acidic than pH 7, the conversion of
reactant to product was followed by periodic recording of 31P NMR
(121 MHz). The integrals of the signal corresponding to alanyl ethyl
phosphate were noted relative to that of a standard solution of disodium
pyrophosphate (0.1 M in deuterium oxide) in a sealed capillary tube
(also serving as a “lock signal” for the NMR). For buffer dependence
studies, 1.0 mL of 0.025 M alanyl ethyl phosphate in sodium acetate
buffer concentrations of 0.2 to 1.0 M (I ) 1.0 with sodium chloride as
needed) was placed in 5-mm NMR tubes. Spectra were obtained with
128 scans and a 2-s delay in the broad band proton-decoupled mode.
Data collection for each spectrum took approximately 4 min. Spectra
were taken at varying intervals for 4 to 5 half-lives. Between data
collections, samples were kept at 25 °C in a circulating water bath.
Acidic solutions were prepared from titrated 1 M HCl that was diluted
with 1 M sodium chloride solution. Reactions were followed as
described above.
Data analysis and fitting was done by nonlinear regression on a
computer. For the 31P NMR data, the relative values of the integrals
of the signals corresponding to alanyl ethyl phosphate and disodium
pyrophosphate were fitted to a first-order exponential decay. This gave
an observed first-order rate coefficient for the disappearance of alanyl
ethyl phosphate. For the pH-stat data, the volumes of added sodium
hydroxide solution were fitted to a first-order growth curve to obtain
an observed first-order rate coefficient for the disappearance of alanyl
ethyl phosphate.
of kobs versus pH gives a curve that fits a titration equation,
with the apparent pKa from kinetics being identical with the
value found by equilibrium titration ()7.8 ( 0.1). The kinetic
and thermodynamic titration curves are shown in Figure 1.
The data in Figure 1A were fit to a titration curve equation
to give as limits the rate constants for the uncatalyzed hydrolysis
of the zwitterionic form (below pH 6) and the anionic form
(above pH 9). The lower rate was determined independently
by extrapolation of rates of reactions in buffered solutions (see
below). These values are also determined by fitting the data to
a plot of rate coefficient versus fraction of all material in the
anionic form.7 The rate constant obtained from the plot for
hydrolysis of the zwitterionic form of alanyl ethyl phosphate is
(3.9 ( 0.4) × 10-5 s-1. A plot of observed first-order rate
coefficient versus free base fraction (8 points: 0.2 to 0.8)
extrapolated to unity gives kOH ) (1.6 ( 0.2) × 10-3 s-1
.
Base Catalysis. In more alkaline solutions (reaction mea-
sured for six points between pH 10 and 11), the rate of
hydrolysis is proportional to hydroxide concentration. This is
likely to involve the reaction of hydroxide with the anionic form
of the substrate (A in Scheme 2). The slope of the plot of
observed first-order rate coefficients versus hydroxide concen-
tration gives the second-order rate constant for specific base
catalyzed hydrolysis of alanyl ethyl phosphate: (1.67 ( 0.04)
Synthesis. Tetra-n-butylammonio-N-t-boc-(L)-alanyl ethyl phosphate
was prepared according to the reported procedure3 by using dicyclohexyl
carbodiimide (0.0011 mol) to couple N-(t-boc)-(L)-alanine (0.0010 mol)
and bis(tetra-n-butylammonium)ethyl phosphate (0.0011 mol) in dichlo-
M-1 s-1
.
1
romethane (20 mL). The product is a colorless oil: (76% yield) H
Water Catalysis and Acid Catalysis. There is not a
sufficient release of proton equivalents generated by the
hydrolysis of alanyl ethyl phosphate below pH 7 to permit the
reaction to be followed by a pH-stat in dilute solutions. For
these cases 31P NMR was used to follow the consumption of
reactant (by the integrated signal from alanyl ethyl phosphate
versus an external standard). The first-order rate coefficient
for hydrolysis of alanyl ethyl phosphate in weakly acidic
solutions was obtained for a series of acetate/acetic acid buffers
(0.2, 0.4, 0.6, 0.8 M; see Experimental Section for details)
between pH 4.0 and 5.0. The buffers catalyze the reaction (first
order in buffer concentration). The first-order rate constant for
the reaction in the absence of buffer is obtained by extrapolation
to [buffer] ) 0: pH 4.0, k ) (3.2 ( 0.3) × 10-5 s-1; pH 4.5,
k ) (3.4 ( 0.3) × 10-5 s-1; pH 5.0, k ) (3.4 ( 0.4) × 10-5
s-1. The combination gives a pH-independent rate constant of
(3.3 ( 0.6) × 10-5 s-1 for the spontaneous hydrolysis pathway
of the zwitterionic form.
NMR (200 MHz, chloroform-d) δ 1.19 (t, 3H), 1.30 (t, 12H), 1.34 (d,
3H), 1.38 (s, 9H), 3.36 (q, 8H), 3.97 (m, 2H), 4.21 (m, 1H), 5.15 (d,
1H); 31P NMR (chloroform-d) δ -6.8.
(L)-Alanyl ethyl phosphate was prepared by treatment of tetraethyl-
ammonium-N-t-boc-(L)-alanyl ethyl phosphate with trifluoroacetic acid.
Overall yield: 40% from N-(tert-butoxycarbonyl)-(L)-alanine): mp 120
°C dec; IR (KBr) 1764, 1624, 1574, 1251, 1230, 1075, 1047 cm-1; 1H
NMR (200 MHz, deuterium oxide) δ 1.19 (t, 3H), 1.50 (d, 3H), 3.95
(m, 2H), 4.16 (q, 1H); 13C NMR (100 MHz, deuterium oxide) δ 15.63
(s), 16.22 (d, JC-P ) 6.6 Hz), 49.95 (d, JC-P ) 7.3 Hz), 64.78 (d, JC-P
) 6.6 Hz), 167.92 (d, JC-P ) 8.8 Hz); 31P NMR (121 MHz, deuterium
oxide) δ -6.58. FAB MS calculated 197, found (m/z) 196 (M - H).
All further discussion of this compound omits the stereochemical
descriptor.
Results
The hydrolysis of alanyl ethyl phosphate produces alanine
and ethyl phosphate (Scheme 1).
The hydrolysis of alanyl ethyl phosphate is acid catalyzed:
(0.1 M HCl, kobs ) 4.8 × 10-5 s-1; 0.5 M HCl, kobs ) 2.3 ×
10-4 s-1; 1.0 M HCl, kobs ) 3.8 × 10-4 s-1). The second-
order rate constant for specific acid catalysis is (3.8 ( 0.5) ×
10-4 M-1 s-1 from the linear correlation of the observed first-
order rate coefficients and acid concentrations.
Both the zwitterionic (HA) and anionic forms (A) of alanyl
ethyl phosphate should undergo hydrolysis (Scheme 2) as given
by the rate law in eq 1. ST is the concentration of alanyl ethyl
phosphate in all forms; fHA and fA are the fractions in the
zwitterionic form and anionic forms, respectively.
kobs[ST] ) (kfHA + k′fA)[ST]
(1)
Overall Rate Law. A rate law from four mechanisms that
predominate in different conditions is summarized in eq 2. This
A series of observed first-order rate coefficients was measured
by pH-stat in solutions whose pH brackets the pKa of the
zwitterionic form of alanyl ethyl phosphate (see below). A plot
(7) Jencks, W. P. Catalysis in Chemistry and Enzymology; McGraw-
Hill: New York, 1969; Chapter 11.