order to observe negative shift in the second oxidation
potential. Becausetheshift inpotential of secondoxidation
ox
(E2 ꢀ E2ox) depends on the ratio of K2 to K1, K2 is
0
obtained by following eq 3.16
ox0
K2 ¼ K1 exp[ ꢀ nF(E2 ꢀ E2ox)=RT]
ð3Þ
In the PD/3,5-Cl2Py system, we set K1 to be 1000 and
then K2 was calculated to be 1.5 ꢁ 105. Other sets of
equilibrium constants in the presence of various pyridines
are displayed in Supporting Information. In general, the
values of K1 are in the range of 103ꢀ104 Mꢀ1 15b
.
Figure 4. Plots of oxidation potentials difference for PD-1 as a
function of pyridines pKa.
In addition, the forward rates of H-bonding should be
very fast so that the shift in potential is effective. In a
previous work of Smith, a very rapid value for kf’s of
H-bonding between nitroaniline and 1,3-diphenylurea was
be measured by oxidation potential thermodynamically.
As the basicity of the pyridine derivative is higher than
in the range of 108ꢀ109 Mꢀ1
s
ꢀ1.8 In our PD/3,5-Cl2Py
case, the rate constant for PDþ• and pyridine (kf,1) is in the
range of 105ꢀ106 Mꢀ1 sꢀ1 and that for PD2þ and pyridine
(kf,2) is approximately the value of 108 Mꢀ1 sꢀ1 (Figures
S11 and S12, Supporting Information). As for the broad-
ening of the new redox waves and decrease in the current
magnitude, it is attributed mainly to a rather slow electron-
transfer rate (k0s,2) for the reduction of PD2þ(py) to PDþ•-
(py) (Figure S13, Supporting Information), which is ham-
pered by a rapid H-bonding equilibrium between PD2þ
and pyridine.
ox
5.62, the E2 0 merged with E1ox. The new oxidation keeps
shifting cathodically in potential as the basicity of pyridine
derivatives increases.
We carried out digital simulation of experimental CV
using the Digisim 3.03 Program16 to further understand
the redox-dependent H-bonding systems. The reaction
mechanism consisting of only electron-transfer and hydro-
gen bonding equilibria is represented by a six-membered
square scheme in Scheme 1.
With the above consideration, the simulations are able
toreproducethe waveshapeformostPD/pyridine-binding
systems (Figure 2B).15b However, when switching pyridine
from 3,5-Cl2Py to py or 2,4,6-Me3Py, the second oxidation
wave occurs at a more negative potential than the first.
Two 1eꢀ oxidation waves of PD coalesce into a single 2eꢀ
oxidation wave upon addition of these strongly basic
pyridines so that the determination of oxidation potential
(E1 and E2 0) and equilibrium constant (K1 and K2)
becomes quite difficult. Since PD2þ is acidic, the proton
transfer from PD2þ to pyridine or other reactions might
happen as the more basic pyridine is present. We tenta-
tively ignore the additional reactions and continue to
simulate the CVs of PD in the present of py or 2,4,6-Me3Py
with the same reaction mechanism (i.e., Scheme 1). Satis-
factory simulation results are still obtained for potential
inversion (Figure 3A,B).
The extremely strong H-bonding between PD2þ and
2,4,6-Me3Py has the effect of neutralizing the positive
charge on PD2þ, which expedites the oxidation of
PDþ•(py) to PD2þ(py). Once PDþ•(py) is formed, it is
simultaneously oxidized to PD2þ(py). Thus, a 2eꢀ oxi-
dation wave prior to the first original wave grows at the
expense of two original waves of unbounded PD.
A different type of behavior in second oxidation is
observed upon changing the H-bonding acceptor from
pyridine to alcohol (Figure 5A). Stepwise addition of
excess ethanol (EtOH) can cause the gradual potential
shift to the cathodic direction for the second oxidation
rather than a new oxidation wave formation while the first
oxidation has little change.
Scheme 1a
ox
0
ox
a ks,1, ks,2, k0s,1, k0s,2: the electron-transfer rate constant (reduction).
K1, K2: formation constants for PDþ•(py) and PD2þ(py) complexes,
respectively. kf,1, kf,2: the forward rate constants for PDþ•(py) and
PD2þ(py) complex formation.
The H-bonding equilibrium between neutral PD and
pyridines can be eliminated from the scheme due to no
significant interaction between them. Two equilibrium
constants (K1 and K2) and their related kinetic constants
(kf,1 and kf,2) need to be determined. In particular, the
determination of the K1 is quite important because the
value of K1 largely rules the behaviors of the second
oxidation which would exhibit two resolved waves or a
shifted wave in the presence of pyridines. Thanks to
previous models well supported by simulation,16 some
reasonable starting values for different parameters can be
used to simulate the reactions suggested in Scheme 1.
It is clear from a qualitative analysis of CV shapes that
K1 cannot be too small, or a shifted wave rather than two
separate waves in a second oxidation will be observed.16
On the other hand, K2 must be much larger than K1 in
To investigate the substituent effect on the H-bonding,
the substituted phenylenediamines (Figure 1) are also
(16) Miller, S. R.; Gustowski, D. A.; Chen, Z.-H.; Gokel, G. W.;
Echegoyen, L.; Kaifer, A. E. Anal. Chem. 1988, 60, 2021–2024.
2828
Org. Lett., Vol. 13, No. 11, 2011