Rate-Determining Step during Aminolysis
J . Org. Chem., Vol. 66, No. 19, 2001 6315
Ta ble 1. Activa tion P a r a m eter s for th e Am in olysis of 4-Nitr op h en yl N-Ben zylsu lfa m a te (NP BS) in ACN
pyridinea
2-NH2
2-NH2-4-CH3
4-(CH3)2N
∆Hq, kJ mol-1
∆Sq, J mol-1 K-1
alicyclic amine
morpholine
N-formylpiperazine
N-(2-aminoethyl)piperazine
piperazine
∆Hq, kJ mol-1
∆Sq, J mol-1 K-1
58.9 ( 6
63 ( 5
66 ( 7
66 ( 6
-112 ( 10
-90 ( 8
-55 ( 6
-55 ( 6
46 ( 5
43 ( 4
77 ( 8
75 ( 7
-140 ( 15
-143 ( 15
-10 ( 1
4-pyrrolidino
-15 ( 1
a
Arrhenius plots were made using the four or five temperatures and corresponding k′2 values in Table S2 (pyridines) and in Table S4
(alicyclic amines) of the Supporting Information. The errors shown are standard deviations.
Ta ble 2. Exp er im en ta l p Ka Va lu es in ACN for
observed by a number of groups14-17 using carbon sub-
Su lfa m a tes NP BS, NP MS, NP MMS, a n d NP P S
strates and has been interpreted in terms of a mecha-
nistic change within the E1cB mechanism. At the lower
ester
expa
NPBSb
NPMSc
NPMMSd
NPPSe
17.68 ( 0.5
17.94 ( 0.5
18.56 ( 0.3
19.1 ( 0.1
amine pKa values, an (E1cB)irrev reaction takes place with
k2 . k-1[R2R3NH2+], and at higher pKa values, a change
to an (E1cB)rev mechanism occurs when k-1[R2R3NH2
]
+
. k2 (Scheme 1). Thus at lower pKa values, bimolecular
formation of the conjugate base 2 of substrate 1 followed
by rapid leaving group departure occurs. At higher amine
pKa values, departure of ONp from 2 is rate-determining
and â2 ≈ 0. In both cases, the products are nitrophenol 4
and the sulfamide 5 (Scheme 1). A sulfonylamine 37 may
be involved.
The â value for the straight line obtained for NPMS
with a set of six pyridines (Figure 1) is 0.45 (r ) 0.966).
The â1 value for the lower part of the NPBS plot with
pyridines is 0.6 (r ) 0.983, five points), and â2 is
approximately 0 (Figure 1). Two of the pyridines in Table
S2 (Supporting Information), 2,4,6-trimethyl- and 2-amino-
4,6-dimethylpyridine, are not plotted because they both
deviate well below the line in the figure. Because both
are quite hindered at either side of the pyridine ring
nitrogen, i.e., the 2- and 6-positions, their deviation is
understandable.
a
b
The method of ref 12 was modified. 4-Nitrophenyl N-benz-
ylsulfamate. c 4-Nitrophenyl N-methylsulfamate. 4-Nitrophenyl
N-2-methoxy-5-methylphenylsulfamate. e 4-Nitrophenyl N-phenyl-
sulfamate.
d
plateau region of Figure 2). Examination of the literature
supports this use of entropy changes. Thus, typical E2,
(E1cB)irrev, BAC2, and SN2 processes have entropies in the
range of about -55 to about -170 J mol-1 K-1, while less
negative values in the range of -40 to +150 J mol-1 K-1
have been associated with the (E1cB)rev mechanism.19
Some of the entropies calculated previously in this
laboratory were in error, though the conclusions regard-
ing the role of entropy in the mechanism were correct.20
The correct values are presented in Table 1.
In Figure 1, the reaction of NPMS with a set of
pyridines does not show biphasic Brønsted behavior.
However, in Figure 2 with a set of (stronger) alicyclic
amines, NPMS produces a biphasic Brønsted plot. In
earlier work20 using NPPS with alicyclic amines and
NPMMS with a set of pyridine bases, straight line
Brønsted plots were obtained in each case.
The reason for this contrasting behavior became ap-
parent when the pKa’s in ACN were measured for NPMS,
NPBS, NPMMS, and NPPS (Table 2). For NPBS, the
series of bases used are in all cases sufficient to achieve
substantial proton removal from the substrate, and thus,
the change in rate-determining step within the E1cB
mechanism is observed. With NPMS, this is not realized
with pyridines, but when a stronger set of bases is
employed, biphasic Brønsted behavior again occurs. With
NPPS and NPMMS, the sets of bases used were not
sufficient to achieve substantial removal of the substrate
proton, and thus, the more usual straight line Brønsted
plots were observed.20,22
In Figure 2, the lower part of the NPMS plot with
alicyclic amines gives a â1 value of 0.64 (r ) 0.990, six
points), the lower part of the NPBS plot with quinucli-
dines gives a â1 value of 0.7 (r ) 0.992, three points),
and for NPBS with alicyclic amines, the â1 value is 0.7
(r ) 0.999, four points).
The change from a general to a specific base catalysis
situation expected for such a mechanistic change within
the E1cB mechanism18 is clear from Figures 1 and 2. This
changeover can also be supported by examining the
entropy changes taking place. The expectation would be
that there should be a shift from a dependence on base
(bimolecular) to no dependence on base (unimolecular)
and that there should be an increase (less negative
values) in entropy. This is borne out by activation
parameters (Table 1) that were calculated from rate data
at various temperatures for NPBS (Tables S2 and S4,
Supporting Information). For the pyridines, the entropy
is seen to change from approximately -100 J mol-1 K-1
(lower pKa values) to approximately -55 J mol-1 K-1
(higher pKa values in the plateau region of Figure 1), and
for the alicyclic amines, the variation is even greater
ranging from about -140 J mol-1 K-1 (lower pKa values)
to about -12 J mol-1 K-1 (higher pKa values in the
The change in the rate-determining step seen in four
of the Brønsted plots in Figures 1 and 2 occurs at
approximately the point where the substrate pKa is equal
to the pKa of the catalytic amine, i.e.,
∆pKa ) pKR2R3NH + - pKa(sulfamate) ≈ 0
2
(14) Heo, C. K. M.; Bunting, J . W. J . Org. Chem. 1992, 57, 3570.
(15) Fishbein, J . C.; J encks, W. P. J . Am. Chem. Soc. 1988, 110,
5075.
(16) Thea, S.; Kashefi-Naini, N.; Williams, A. J . Chem. Soc., Perkin
Trans. 2 1981, 65 and earlier papers.
(17) King, J . F.; Beatson, R. P. Tetrahedron Lett. 1975, 973.
(18) Cockerill, A. F.; Harrison, R. G. Mechanisms of elimination and
addition reactions involving the X)Y groups. In Chemistry of double
bonded functional groups; Patai, S., Ed.; Wiley: London. 1977; Part
1, Suppl. A.
(19) Vigroux, A.; Bergin, M.; Bergonzi, C.; Tisnes, P. J . Am. Chem.
Soc. 1994, 116, 11787 and earlier papers. Mowafak Al Sabbagh, M.;
Calman, M.; Calman, J . P. J . Chem. Soc., Perkin Trans. 2 1984, 1233
and earlier papers. Cervasco, G.; Thea, S. J . Org. Chem. 1995, 60, 70
and earlier papers. Nome, F.; Erls, W.; Correia, V. R. J . Org. Chem.
1981, 46, 3802. Broxton, T. Aust. J . Chem. 1985, 38, 77. Leffek, K. T.;
Schroeder, G. Can. J . Chem. 1982, 60, 3077. J arczewski, A.; Schroeder,
G. Pol. J . Chem. 1978, 52, 1985.
(20) Spillane, W. J .; McGrath, P.; Brack, C.; Barry, K. J . Chem. Soc.,
Chem. Commun. 1998, 1017.