8554 J . Org. Chem., Vol. 66, No. 25, 2001
Lee et al.
On the other hand, the Marcus equation22 can be
represented in the free energy form as eq 12, where ∆G°
comprises two component terms, δ∆G° ) δ∆GX° + δ∆GY°;
i.e., the changes in the thermodynamic driving force can
be disected into the contributions of the two reactants,
X and Y. Arnett et al., have shown that for the addition
of resonance-stabilized carbocations and organic anions
the free energy of reaction, ∆G°, can be expressed into
such an additive form.23
stabilized cation, or the reactions that follow strictly the
N+ relationship, proceed by an electron-transfer (ET)
mechanism.24 In the electron-transfer reaction, the trans-
fer of a single electron from D to A leads to D+ and A-,
(D+ + A-) but the two moieties are not linked by a
covalent bond in contrast to the nucleophilic addition
pathway in which there is a covalent bond (D+-A-). Since
in the ET process there is no covalent link in the TS, the
cross-interaction between D+ and A- should be negligible,
FXY ≈ 0. It has been shown that any factor (in this case
∆G°2
q
1
2
electronic due to high intrinsic barrier, ∆E0 ) large) that
∆Gq ) ∆G0q + ∆G° +
(12)
(13)
q
inhibits or hinders the bond coupling process tends to
favor the ET process.20a The proclivity of the substrate
to undergo ET reactions should increase with availability
of a high lying π* LUMO. This requirement is certainly
met with all the strongly resonance-stabilized carboca-
tions including the N-methyl-N-arylcarbamoyl cations.24
The higher the π* LUMO, the larger is the interfrontier
energy gap, ∆ꢀ ) ꢀLUMO - ꢀHOMO () ꢀπ* - ꢀn) and hence
the smaller is the charge transfer stabilization in the
incipient bond formation in the TS, i.e., the higher is the
kinetic (intrinsic) barrier. In such kinetically hindered
charge-transfer stage, the ET process should be favored
with an outer-sphere complex formation in which there
is no bonding interaction (FXY ≈ 0).24a
16∆G0
∂2∆Gq
1
)
q
∂∆GX°∂∆GY°
8∆G0
Partial second derivatives of ∆Gq in eq 12 with respect
to ∆GX° and ∆GY° give eq 13.5 Equations 11 and 13 link
the two relationships of eq 3 and 12 as eq 14, where c is
a constant. This equation tells us that the cross-interac-
tion constants, âXY (FXY), are dependent only on the
q
kinetic (intrinsic) barrier, ∆G0 , and independent of the
thermodynamic driving force, ∆G°.
- 1
6∆G0
â
XY( ) cFXY) =
(14)
q
Con clu sion s
The nucleophilic substitution reactions of Y-substituted
N-methyl-N-arylcarbamoyl chlorides (YC6H4N(CH3)COCl)
with pyridines (XC5H4N) in DMSO show constant FX (and
âX) with changing substrates (δσY), and constant FY with
changing nucleophiles (δσX). As a result, the cross-
interaction constant FXY (and âXY) is vanishingly small
and the Ritchie N+ type equation holds. These and other
results lead us to the nucleophile addition mechanism
on the resonance-stabilized carbocations, 5. From the
definition of cross-interaction constant, FXY (âXY), and the
Marcus equation, it can be shown that for such reactions
with vanishing cross-interaction and valid N+ type
Our experimental results of âXY ≈ FXY ≈ 0 lead us then
to eq 15, which shows that the cross-interaction constant,
âXY (and FXY), is zero when the intrinsic barrier is high
- 1
6∆G0
âXY
=
≈ 0
(15)
q
(∆G0 ≈ ∞)5 for the intrinsic-barrier controlled reaction
series. This is reasonable since for the reaction series with
extremely high kinetic barrier, discrimination of reac-
tivities between different reactants becomes almost
impossible, i.e., the selectivity becomes insignificantly
small, FXY ) 0. Thus a necessary condition for the valid
N+ relationship with negligibly small cross-interaction
q
q
relationship the high intrinsic barrier, ∆G0 , is a neces-
q
sary condition, âXY = 1/(6∆G0 ) ≈ 0. The electron-transfer
q
(ET) reactions provide a possible type of process in which
cross-interaction between the nucleophile and electro-
phile is insignificant despite the substantial charge
transfer from the nucleophile to the electrophile.
constant, FXY ≈ 0, is high intrinsic barriers, ∆G0 ) large,
in the intrinsic-barrier controlled reaction series. It is
natural that if the N+ relationship holds the cross-
interaction constant is zero and vice versa, since the
nucleophile selectivities are constant, δâX ) 0 or δFX ) 0
with changing electrophiles reactivity δpKY or δσY, when
the N+ relationship holds so that δâX/δpKY ) âXY ) 0 or
δFX/δσY ) FXY ) 0. It is, however, rather unexpected that
the negligible cross-interaction is obtained when the
Exp er im en ta l Section
Ma ter ia ls. International Specialty Chemical ACS grade
dimethyl sulfoxide (DMSO) was used after two distillations.
The pyridine nucleophiles, Aldrich GR, were used without
further purification. The substrate, N-methyl-N-arylcarbamoyl
chloride, was Aldrich GR purchased and was recrystallized
before use. Y-Substituted N-methyl-N-arylcarbamoyl chlorides
were prepared by reacting Y-substituted N-methyl-N-aryl-
anilines with triphosgene followed by small amount of triethyl-
amine in ethyl acetate. The product, p-methyl-N-methyl-N-
arylcarbamoyl chloride, was obtained by column chromatog-
raphy (silica gel, 30% ethyl acetate/n-hexane). The other
products, para-substituted (Y) N-methyl-N-arylcarbamoyl chlo-
rides, were purified by recrystallization from n-hexane. The
substrates synthesized were confirmed by spectral and el-
emental analysis as follows.
q
intrinsic barrier is high, ∆G0 ) large.
There are therefore two cases where the cross-interac-
tion becomes negligible, FXY ≈ 0. (i) No interaction due
to large distance (rXY ) ∞) involved between the two
reactants.6a,b (ii) Indiscrimination due to large intrinsic
q
barriers, ∆G0 ≈ ∞. However, these seemingly different
cases may be simplified into a unified condition of (i) if
we assume that the nucleophile additions to the resonance-
(20) Denton, P.; J ohnson, C. D. J . Chem. Soc., Perkin Trans. 2 1995,
477.
(21) Lee, I.; Lee, H. W. Bull. Korean Chem. Soc. 2001, 22, 732.
(22) (a) Marcus, R. A. J . Chem. Phys. 1956, 24, 966; 1963, 39, 1734.
(b) Marcus, R. A. Annu. Rev. Phys. Chem. 1964, 15, 155.
(23) (a) Troughton, E. B.; Molter, K. E.; Arnett, E. M. J . Am. Chem.
Soc. 1984, 106, 6726. (b) Arnett, E. M.; Chawla, B.; Motter, K.;
Amarnath, K.; Healy, M. J . Am. Chem. Soc. 1985, 107, 5288.
(24) (a) Pross, A. Theoretical and Physical Principles of Organic
Reactivity; Wiley: New York, 1995; Chapter 9. (b) Hoz, S. In Nucleo-
philicity; Harris, J . M., McManus, S. P., Eds.; American Chemical
Society: Washington D.C., 1987; p 181.