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trochemical properties of BV4+ are analogous to those of
HV12+, we infer that each reduction process of the former in-
Table 2. Diffusion constants [cm2 sꢁ1] calculated from chronocoulometric
experiments in H2O (1 mm TBACl). Reference electrode: Ag/AgCl.
[HV12+]=0.04 mm, [BV4+]=0.065 mm, and [BMV2+]=0.13 mm, with re-
spectively 12, 3, and 5 equiv of CB7 were added.
volves two electrons. This deduction is confirmed by the
1
values of the reduction potentials of BV4+ (E1=2(BV4+/BV2( +))=
C
ꢁ0.49 V, and E12=2(BV2( +)/BV0)=ꢁ0.85 V) and the peak-to-peak
C
ꢁCB7
+CB7
separation DE1/2 =360 mV, which are almost identical to the
corresponding values determined for HV12+. Furthermore, on
addition of CB7 to BV4+, a shift of 40 mV to a more negative
potential was observed for the first reduction peak, whereas
no shift was detected for the second reduction process, in
agreement with the results obtained with HV12+. Thus, forma-
tion of radical cations on two-electron reduction of BV4+ indu-
ces dissociation of CB7 and subsequent pimerization. The neg-
ative shifts of DE11=2 observed for BV4+ (40 mV) and HV12+
(50 mV) in the presence of CB7 are similar in magnitude to the
shift observed for MV2+ (30 mV) after addition of CB7, which is
an indication that the same binding mode (CB7/bipyridinium)
is present in BV4+ꢀ(CB7)2, HV12+ꢀ(CB7)6, and MV2+ꢀCB7.
HV12+
HV6(
HV12+
HV6(
C
+)
+)
C
2.32(4)ꢂ10ꢁ7
BV4+
5.87(3)ꢂ10ꢁ7
2.06(6)ꢂ10ꢁ7
BV4+
7.00(9)ꢂ10ꢁ7
+)
+)
BV2(
BV2(
C
C
9.80(1)ꢂ10ꢁ7
BMV2+
1.78(1)ꢂ10ꢁ6
8.63(1)ꢂ10ꢁ7
BMV2+
2.90(1)ꢂ10ꢁ6
+
+
C
C
BMV
BMV
5.66(3)ꢂ10ꢁ6
7.86(4)ꢂ10ꢁ6
4.75(5)ꢂ10ꢁ6
4.21(5)ꢂ10ꢁ6
oxidized forms (Table 2). This is consistent with the decrease in
hydrodynamic size that occurs on reduction and subsequent
pimerization. The slight increase in D value observed for reduc-
tion of BMV2+ may arise from increased hydrophobic character
and consequent decreases in solvation and effective hydrody-
namic size.[85]
In the presence of CB7, the diffusion coefficients determined
during the reduction process were much smaller as a conse-
quence of inclusion-complex formation. Moreover, large differ-
ences in the D coefficient were observed for the oxidized
versus reduced forms of BV and HV, with the D value for the
radical-cationic form being significantly larger in each case and
comparable to the value determined in the absence of CB7.
These results provide clear evidence for reduction-induced de-
complexation of CB7 and subsequent dimerization of geminal
1H NMR DOSY and chronocoulometry
Diffusion-ordered spectroscopy (DOSY) and chronocoulometry
(see Supporting Information for experimental details) were
used to examine the constitution of the different pseudorotax-
anes that arise from the interaction of CB7 with the viologen-
1
containing threads. The H DOSY experiments reveal that the
magnitude of the diffusion coefficients in the absence of CB7
decreases with increasing hydrodynamic size of the viologen
substrate in the order DMV2+ (5.84ꢂ10ꢁ6)>DBMV2+ (1.71ꢂ10ꢁ6)>
DBV4+ (9.7ꢂ10ꢁ7)>DHV12+ (7.27ꢂ10ꢁ7 cm2 sꢁ1). For solubility rea-
sons, the diffusion coefficients for BV4+ and HV12+ were calcu-
lated in [D6]DMSO, whereas those of MV2+ and BMV2+ were
determined in D2O. As anticipated, diffusion coefficients de-
creased for all four viologen substrates on addition of CB7.
viologen radical cations in both BV2( +) and HV6( +). Changes in
C
C
D value were not pronounced in the case of BMV, because re-
duction of BMV2+ to BMV does not induce CB7 dissociation.
+
C
The volumes (inside a contour of 0.001 eBohrꢁ3) of MV2+
,
BMV2+, BV4+, MV2+ꢀCB7 and BMV2+ꢀCB7 were calculated
by DFT and found to be 239.9, 342.54, 1153.6, 1325.3, and
1364.4 ꢁ3, respectively. The corresponding radii of these spe-
cies, evaluated by considering spheres having the same vol-
umes, were then used to estimate diffusion coefficients with
the aid of the Stokes–Einstein equation.[86,87] The calculated dif-
fusion coefficients for MV2+, BMV2+, BV4+, MV2+ꢀCB7, and
BMV2+ꢀCB7 were 5.70ꢂ10ꢁ6, 5.06ꢂ10ꢁ6, 3.38ꢂ10ꢁ6, 3.22ꢂ
10ꢁ6, and 3.19ꢂ10ꢁ6 cm2 sꢁ1, respectively, and are in reasonably
1
These results are consistent with the H NMR and UV/Vis spec-
troscopic data and indicate strong interactions between the
threads and CB7. After addition of CB7, the diffusion coeffi-
cients were found to be 2.52ꢂ10ꢁ6, 7.55ꢂ10ꢁ7, 8.6ꢂ10ꢁ7, and
5.02ꢂ10ꢁ7 cm2 sꢁ1 for MV2+ꢀCB7, BMV2+ꢀCB7, BV4+ꢀ(CB7)2,
and HV12+ꢀ(CB7)6, respectively.
We used chronocoulometry to determine the diffusion coef-
ficients of the fully oxidized and radical-cationic states of the
different species in aqueous solution (H2O, 0.1 mm tetrabutyl-
ammonium chloride (TBACl) as electrolyte). During the reduc-
tion process (0!ꢁ0.7 V) the fully oxidized species are predom-
inant and diffuse to the electrode surface, where they are re-
duced. By measuring reduction rates, we calculated (see Sup-
porting Information and Table 2) the diffusion constants for
HV12+, BV4+, and BMV2+ in the absence and in the presence
of CB7. The values are comparable to those determined by
DOSY and, in general, follow the same decreasing sequence of
DBMV2+ >DBV4+ >DHV12+. Furthermore, by setting the voltage to
ꢁ0.7 V and performing the oxidation process, we measured
the rates of oxidation of the corresponding radical-cationic
species and calculated their diffusion coefficients.
good agreement with the data obtained from DOSY and chro-
+
nocoulometry. The volume calculated for BMV (316.79 ꢁ3)
C
was somewhat smaller than that obtained for BMV2+
(342.54 ꢁ3), which is also consistent with the larger diffusion
coefficient determined for the radical cation by chronocoulom-
etry (Table 2). The diffusion coefficients obtained experimental-
ly from chronocoulometric and DOSY measurements were
used to estimate the corresponding molecular volumes with
the aid of the Stokes–Einstein equation (see Supporting Infor-
mation). As expected, the molecular volumes increase with in-
creasing molecular weight and are generally larger for the fully
oxidized forms than for the corresponding radical-cationic
states. Furthermore, the molecular volumes obtained from dif-
fusion coefficients agree reasonably well with those estimated
with DFT for MV2+, BMV2+, and MV2+ꢀCB7. However, the mo-
lecular volume obtained from measurements of diffusion coef-
In absence of CB7, larger diffusion coefficients were ob-
served for HV6( +) and BV2( +) than for their corresponding fully
C
C
Chem. Eur. J. 2014, 20, 7334 – 7344
7342
ꢀ 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim