128
M.E. Aliaga et al. / Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 204 (2018) 125–130
Table 1
Rate constant values (kobs) of the photobleaching of the colored form and quantum yields
Φ) associated to both processes, photo conversion from C-form to E-form and the inverse
photobleaching reaction with each solvent parameter was correlated;
these results are shown in LSER 1 in Table 2.
(
process in different reaction media.
log ðkobsÞ ¼ logðk0Þ þ aα þ bβ þ sπꢀ
ð2Þ
obs/10− s-1a Quantum yield (ФC→E)b Quantum yield (ФE→C)c
3
Reaction media
k
Acetonitrile
Benzene
Toluene
5.42
7.25
9.41
5.31
6.57
5.50
8.27
7.20
6.57
7.55
5.88
6.69
6.74
0.19
0.24
0.23
0.15
0.15
0.10
0.15
0.05
0.06
0.45
0.23
–
0.16
0.19
0.20
0.15
0.16
0.15
0.16
0.15
0.16
0.12
0.10
–
As we can see in LSER 1, a treatment based on a multi-parametric re-
gression with Kamlet–Taft's solvent parameters failed (R = 0.60).
Therefore, to improve the correlation it was necessary to include other
parameters to account for all the experimental observations. Thus, the
[
[
[
[
[
[
[
[
[
[
[
[
[
Bmim][DCA]
Bmim][PF
6
]
square of the Hildebrand solubility parameter (δ2
H
) was considered. In-
terestingly enough, when a Hildebrand parameter is introduced into
Bmim][BF
4
]
Bmpyrr][NTf
Bmim][OTf]
2
]
∗
2
0 H
the multi-parametric regression: XYZ=XYZ + aα + bβ + Sπ + hδ ,
Etm
2 2
pN][NTf ]
the correlation improves considerably, LSER 2 (R = 0.92) (see Table 2).
In addition, LSER 2 shows a poor statistical significance of both hy-
drogen bond donating ability (α), and hydrogen bond accepting ability
Bmpyrr][OTf]
Bmim][NTf
Bm im][NTf
Hmim][NTf
2
]
2
2
]
2
]
0.15
0.11
–
0.10
0.13
–
(
β) parameters. Therefore, these are not affecting much the ring open-
ing. LSER 3 (Table 2) shows the high statistical weight of polarizability
π*) and Hildebrand parameters (δ2
). These results suggests that
Bmpyrr][DCA] 6.92
Bm
Bm
2
im][BF
im][OTf]
4
]
6.19
7.19
(
H
2
–
–
changes in the rate constants (kobs) of the photobleaching reaction of
Aberchrome 540™ would not be governed by hydrogen bonding inter-
actions, but rather by weaker interactions such as coulombic (π* param-
a
Each measurement was made in triplicate. Error in kobs is approximately 5%.
Using methodology reference ϕPotassium Ferrioxalate = 0.844 at 498 nm [12]. Time irra-
b
diation of 6 min, LED at 455 nm with a 100% of brightness, using Eq. (1).
c
eter) and likely excluded volume Van der Waals interactions (δ2
Using methodology of Heller and Langan, using ϕToluene = 0.2 at 365 nm [4]. Time
H
irradiation of 2 min, at LED at 365 nm with 100% of brightness using Eq. (1).
parameter), with a larger statistical weight.
In light of this, Fig. 2 shows a comparison between the experimental
value of kobs for the photobleaching reaction of fulgide versus the calcu-
of kobs of these reactions at 25 °C are shown in Table 1 and are found to
be slightly higher in each of the ILs in comparison to that obtained for
acetonitrile, with the exception of the [Bmim][DCA].
lated value of kobs by using LSER, when π* and δ2
parameters were in-
cluded in the plot, Fig. 2(A), and disregarding the Hildebrand
parameter (δ2
), Fig. 2(B).
Fig. 2(A) shows the robust predictable element when π* and δ
H
The first attempt to rationalize the kinetic results obtained was to
correlate the rate constants (kobs) of the photobleaching reaction of
Aberchrome 540™ (irradiation at 455 nm of the close form) with the
viscosity of the different solvents used in this study. However, as can
be expected, solvent viscosity has no major influence in the ring open-
ing quantum yield mainly because the ring opening does not imply a
bond rotation and hence solvent reordering. Therefore, other specific
factors, such as polarity and/or solute solvent interactions, would affect
the reaction rate.
In order to explain how the kobs of the photobleaching at 455 nm ab-
sorption of Aberchrome 540™ depends on the nature of the solvent, a
multiparametric linear solvation energy relationship (LSER) based on
Kamlet–Taft descriptors was used. This LSER separate the solvent polar-
ity into a hydrogen bond donating ability (α), hydrogen bond accepting
ability (β), and a combination of dipolarity and polarisability (π*) [16].
Each parameter was empirically obtained and reported in a wide
range of solvents, including ionic liquids [17]. (see Table S1, in Supple-
mentary Material).
H
2
H
parameters are used in combination to account for the kobs values
found for the studied photobleaching at 455 nm reaction. The impor-
tance of the Hildebrand parameter on the photobleaching reaction for
Aberchrome is not surprising because this reaction involves a process
of rearrangement of the fulgide, resulting from a change in the size of
the cavity of the solvent where the substrate resides during the course
of a reaction. It is important to mention that no correlation with the vis-
cosity of each ILs has been found. This result is consistent with other
studies, which mention that the macroscopic solvent properties, such
as viscosity, are not always adequate in order to explain some spectro-
scopic behaviors in ILs [19]. In such case, for microscopic ILs environ-
ment, the term microviscosity arises as a parameter to be considered,
which depends on the solute and the solvent interactions. Therefore,
considering the results of the multiparametric regressions (Fig. 2), the
molecular confinement in ILs of the Aberchrome would dependent not
only of the Hildebrand relevant parameter (in particular molar volume)
but also of its local viscosity of the microenvironment surrounding the
dye molecules.
As can be expected ILs behave differently to conventional sol-
vents. Therefore, the Kamlet Taft's correlation cannot be compara-
ble for ILs and conventional solvents. Moreover, the polarity
concept should be taken into account with particular care for ILs
3.3. Photochemical Fatigue Resistance
[
18].
Eq. (2) shows a generalized LSER, where the logarithm of the rate
The photochemical fatigue resistance of Aberchrome 540™ in each
IL was estimated upon repeated UV and vis light exposure cycles. Addi-
tionally, these responses with the resistance of fulgide in conventional
solvents were compared.
constants (kobs) is a variable term proportional to free energy of the
photobleaching ring opening reaction of Aberchrome 540™. Thus, a
statistically relevant result was obtained when log (kobs) of the
Table 2
2
Statistical data from the multiparametric regression procedure including α, β and π* Kamlet–Taft's parameters and Hildebrand solubility parameter (δ
photobleaching reaction of Aberchrome 540™.
H
), for the rate constants (kobs) of the
LSER
log (kobs
)
k
0
ac
bc
sc
h/10–3c
Fa
Rb
1
2
3
log(kobs
log(kobs
log(kobs
)
)
)
−1.03(0.28)
−0.78(0.18)
−0.92(0.13)
−0.0048(0.08)
0.045(0.047)
–
0.03(0.11)
0.069 (0.062)
–
−1.12(0.31)
−1.58(0.24)
−1.38(0.16)
–
7.2
25
55
0.60
0.92
0.94
3.08(0.95)
2.65(0.08)
a
Statistical F.
Correlation coefficient.
Standard deviations are given in parentheses.
b
c