1602 J . Org. Chem., Vol. 63, No. 5, 1998
Humeres et al.
once the concerted mechanism is preferred, the rate
increases rapidly with pKN.
change of solvent isotope effect observed for compounds
2, 4, and 6 must be mainly a consequence of the change
H
of the ratio of K(H/K(D, which is equal to (k2D/k2H)(k-2
/
It has been observed that the delocalization of the
nitrogen electron pair into the dithiocarbamate group
shortens the C-N bond length, because of the higher
double-bond character, and modifies the infrared spectra
of dithiocarbamates.25-27 The barrier of internal rotation
about the C-N bond is considerably higher in N,N-
dialkylthioamides than in N,N-dialkylamides, due to the
higher double-bond character of the C-N bond.28-31 The
rotation increases in dilute acid and is solvent depend-
ent.32,33
k-2D). Since k-2 is diffusion controlled, with a low barrier
to hydron transfer, it does not depend much on K(. The
rate-limiting step is the encounter of the zwitterion with
a water molecule that should be independent of the
isotope, and the SIE should be unity, except for the
viscosity effect between H2O and D2O.39 Therefore, the
D
ratio K(H/K( reflects essentially the primary solvent
isotope effect on the O to N hydron transfer reaction.
Approximate values of primary solvent isotope effects for
hydron transfer may be obtained through the method
described by Schowen.40 The transition state for the O
to N hydron transfer is
To reach the structure of transition state I, the C-N
bond has to be twisted, thus inhibiting the resonance of
1-ø
O-----L--ø---N
where ø indicates the bond order of the bond being
formed. For the initial state (ø ) 0) there is no isotope
effect. The equilibrium inverse isotope effect (eq 13)
is equal to 3.11.40,41 The maximum primary isotope
K(
K(
(φ2O-L) (φ2
)
+-L
D
the thiocarbonyl group with the nitrogen and increasing
its basicity. The reaction may be catalyzed by a water
molecule. The basicity of the nitrogen also increases with
the breaking of the C-N double bond until the process
of hydron transfer S to N becomes thermodynamically
favorable. The internal rotation barrier of N,N-dialky-
lthioamides is very similar to that observed for the
cleavage of dithiocarbamates of strong basic amines,
suggesting that the twisting of the C-N bond is an
important component of the total kinetic barrier.
N
H
k2D/k2
)
)
(13)
(φ3
H
(φN-L
)
)
O
+-L
effect k2H/k2 ) 11.4 is reached at ømax ) 0.53. The plot
D
of k2H/k2 vs ø gives an inverse SIE only when ø > 0.97,
D
indicating that the transition state T2 is late or tight in
the reaction coordinate of formation of the zwitterion.
Since the contribution of the term k3D/k3 is small and
H
k-2H/k-2 is constant, the main contribution to the SIE
D
Solven t Isotop e Effect. The observed SIE of Table
2 is consistent with the proposed mechanisms. Consider-
ing that k3/k2 , K(, the inverse solvent isotope effect is
given by eq 12 according to the mechanism through the
comes from the primary effect. The inverse SIE increases
from compound 2 to compound 4, suggesting that for
compound 2 there is a partial transfer of the hydron at
the virtual transition state. If the maximum inverse SIE
D
zwitterion (Scheme 2). The ratio K(H/K( is difficult to
H
is obtained at equilibrium (ø ) 1) where k2D/k2 ) 3.11,
the experimental value of 3.14 agrees well for compound
4 and at the same time indicates that the secondary effect
due to the C-N bond fission is near unity.
D
H
D
H
D
H
D
kD k3 K(
k3
k3
k2
k-2
k-2
)
‚
)
(12)
H
D
H
(
) ( ) (
)
kH
k3
K(
k2
sec
pri
pri
H
The inverse secondary SIE k3D/k3 in terms of the
fractionation factors40,42,43 is equal to 1 for ø ) 0 and 0.90
for ø ) 1. Therefore, if the maximum primary inverse
SIE is reached at compound 4, the decrease from com-
pound 4 to 6 can be ascribed to an increase of the C-N
bond cleavage to a later transition state T3. These
conclusions are entirely consistent with the Brønsted plot
in the range of pKN 7.5-9.9. In this range of pKN, the
SIE reflects a virtual transition state that changes from
a partial hydron transfer to N to a partial C-N bond
cleavage.
assess because estimation of ∆pK for strong acids in
regions beyond the pKa of water is rather problematic.34-38
Since k3D/k3 is a secondary SIE, consequently small, the
H
observed effect shows that K(H/K( > 1, that is, the
D
N-protonation is stabilized in D2O. The magnitude of the
(25) Cox, B. G.; de Maria, P. J . Chem. Soc., Perkin Trans. 2 1977,
1385.
(26) Wahlberg, A. Acta Chim. Scand. 1976, 30, 433.
(27) Chatt, J .; Duncanson, L. H.; Venanzi, L. M. Suom. Kemistil. B
1956, 29, 75.
(28) Loewenstein, A.; Melera, A.; Rigny, P.; Walter, W. J . Phys.
Chem. 1964, 68, 1597.
(29) Sandstrom, J . J . Phys. Chem. 1967, 71, 2318.
(30) Neuman, R. C., J r.; J onas, V. J . Phys. Chem. 1971, 75, 3532.
(31) Neuman, R. C., J r.; J onas, V. J . Org. Chem. 1974, 39, 292.
(32) Walter, W.; Schaumann, E. Chem. Ber. 1971, 104, 3361.
(33) Walter, W.; Franzen-Sleveking, M.; Schaumann, E. J . Chem.
Soc., Perkin Trans. 2 1975, 528.
(34) Rule, C. K.; LaMer, V. K. J . Am. Chem. Soc. 1938, 60, 1974.
(35) Ho¨gfeldt, E.; Bigeleisen, J . J . Am. Chem. Soc. 1960, 82, 15.
(36) Schubert, W. M.; Burkett, M. J . Phys. Chem. 1956, 78, 64.
(37) Pritchard, J . G.; Long, F. A. J . Am. Chem. Soc. 1958, 80, 4162.
(38) Laughton, P. M.; Robertson, R. E. In Solute-Solvent Interac-
tions; Coetzee, J . F., Ritchie, C. D., Eds.; Dekker: New York, 1969;
Chapter 7.
The new increase of SIE for compound 9 (ethylDTC)
represents a change of mechanism. Unfortunately, the
fractionation factor for the dithiocarbamic S-L bond is
(39) Perrin, C. L.; Dwyer, T. J .; Baine, P. J . Am. Chem. Soc. 1994,
116, 4044.
(40) Schowen, R. L. Progr. Phys Org. Chem. 1972, 9, 275.
(41) Gold, V. Adv. Phys. Org. Chem. 1969, 7, 259.
(42) Kresge, A. J . Pure Appl. Chem. 1964, 8, 243.
(43) Schowen, R. L. In Isotope Effects on Enzyme Catalyzed Reac-
tions; Cleland, W. W., O’Leary, M. H., Northrup, D. B., Eds.; University
Park: Baltimore, 1977; pp 64-69.