Interactions Between Piperidine-1-yloxyl Derivatives and Ionic Liquid
perature (Tg) of the ionic liquid. Because there are only slight
increases of the rotational mobility above Tg in the case of the
spin probe 3b, the probe can only monitor a small decrease of
trot, which possibly ranges within the experimental fluctuation
of our experimental setup. Comparable results were recently
discussed for the spin-probe mobility in the glass-forming
ionic liquid 1-butyl-3-methylimidazolium tetrafluoroborate.[8b]
After recrystallization is finished mobility starts in the case of
the spin probe 3b, although the mobility of 4d stays frozen
up to the melting point. However, the straight line in the Ar-
rhenius plot describing the mobility of 3b in the melt is not
valid for the mobility of this spin probe in the temperature
region between recrystallization and melting of the crystal
structures formed. Furthermore, these plots show that the mo-
bility of the cationic spin probe 4d, which undergoes strong
ionic interactions with the anion of the ionic liquid, is more
hindered in the ionic liquid in comparison with the anionic
spin probe 3b, which interacts with the cation of the ionic
liquid.
cate similar surroundings of these spin probes, although the
higher trot value of 4a may be a hint for an incomplete anion
exchange of the Iꢀ by the bis(trifluoromethylsulfonyl)imide
under the experimental conditions chosen.
The anionic spin probes 3b and 3c exhibit similar activation
energies. This is again a hint for a similar behavior of both
probes in the ionic liquid. Because these probes exhibit a dif-
ferent rotational volume, the fact that both of them exhibit
similar dynamics even supports the hypothesis of ion ex-
change with the surrounding ionic liquid. Similar activation en-
ergies are also obtained for the cationic spin probes 4a and
4b. The spin probe 4c shows a slightly lower activation
energy than 4a and 4b. Furthermore, the lowest activation
energy in the row of the cationic spin probes was obtained for
4d, which has the same counter ion as the ionic liquid. Com-
parison of the activation energy determined by the mobility of
the spin probes (Table 2) and the value for the activation
energy of the viscous flow (Eh) published in the literature
(14 kJmolꢀ1) shows that only spin probe 1 exhibits a compara-
ble agreement.[17] The activation energy for the spin-probe mo-
bility is higher in all examples bearing either a hydrogen-bond-
forming substituent or an ionic substituent at the 4-position,
which indicates that additional interactions exist requiring ad-
ditional activation energy. Thus, the activation energy mea-
sured by the spin probes is a sum of the activation energy re-
lated to the viscous flow and an additional intrinsic activation
energy that does not depend on viscosity.
Table 2 summarizes the parameters obtained from the Arrhe-
nius plot above the melting point. The calculated activation
energy Ea only slightly differs for the charged spin probes 3b,
3c, and 4. Ea has the lowest value for 1, which only interacts
via the radical structure (NO) with the ionic liquid. Surprisingly,
the highest activation energy was obtained in the case of 2
that has the capability to form additional hydrogen bonds
with the ionic liquid. In contrast, the activation energy is signif-
icantly smaller for 3a compared to 2, although additional hy-
drogen bonding to the anion of the ionic liquid is possible in
the case of 3a as long as this probe does not dissociate into
the corresponding ions. Nevertheless, 3a possesses a higher
acidity than 2, and perhaps it must be considered as a probe
molecule that dissociates into its respective ions in the ionic
liquid. Therefore, 3a can be discussed as a spin probe exhibit-
ing partially the property of an anion. The partial ionic proper-
ty of 3a becomes clearer by comparing the rotational correla-
tion time of 3a with those of 3b and 3c (Table 2). The trot
value of 3a is closer to those of 3b and 3c, which indicates
additional interactions between the anionic substituent of the
spin probe and the cation of the ionic liquid. Thus, a structure
based on ion exchange between the probes 3a–c and the
ionic liquid favors the description of our dynamics observed in
the ESR experiments; this is 3-BMIm. Furthermore, the anionic
spin probes 3b and 3c show similar trot values. This is a further
hint that cation exchange occurs between the counter ions of
the spin probes with the imidazolium ion of the ionic liquid. If
no counter-ion exchange occurs, differences should be found
in the trot values of 3b and 3c because these cations differ in
their size, which should result in differences in the rotational
mobility as well. However, this is not the case.
2.6. Stokes–Einstein Behavior
Interestingly, the temperature dependence of trot shows
Stokes–Einstein behavior [Eq. (3)] for the probes 2–4:
Vm ꢁ p h
ð3Þ
t ¼
ꢁ
T
kB
We observed in a previous study that Stokes–Einstein behavior
did not occur in 1-butyl-3-methylimidazolium tetrafluorobora-
te.[8b] Microviscosity theory described the data obtained in the
imidazolium tetrafluoroborate.
The spin probes 2–4 can additionally interact with the ionic
liquid via the substituent placed at the 4-position. In these ex-
amples, trot is proportional to the macroscopic viscosity of the
IL discussed in this work. The slope results in the rotational
volume of the probe. Each probe possesses a different molar
volume if one considers these probes as pairs with the counter
ion (Table 1). However, no differences in the slope of Equa-
tion (3) were observed for the probes 3b and 3c (Figure 7).
Both spin probes possess the largest differences regarding
their rotational volume if one includes the counter ion. The
fact that both probes exhibit a similar slope indicates that the
rotational volume must be the same for both probes, which
again supports the idea of ion exchange between the spin
probe and the corresponding ions of the surrounding ionic
liquid. In the case of no ion exchange between the spin probe
and the ionic liquid, one would expect similar data by dividing
the rotational volume of the probe by the value calculated
The highest trot value is obtained for 4a in the ionic liquid,
which is also slightly higher than the trot value of the spin
probes 4b–d. These trot values are similar, thus indicating the
similarity of the anion exchange of the spin probes 4b and 4c
with the bis(trifluoromethylsulfonyl)imide anion of the ionic
liquid. The spin probe 4d possesses the same anion as the
ionic liquid. Similarities in the trot values between 4b–d indi-
ChemPhysChem 2010, 11, 2182 – 2190
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