4
J. Narkiewicz-Michalek et al. / Journal of Molecular Liquids xxx (2015) xxx–xxx
Table 2
at a considerable rate [4,29–31]. Substituents in the aromatic ring
have a marked effect on the stability of arenediazonium ions [4]. As
shown in Table 2, the methyl group in the para position is rate retarding
compared with the value for the benzenediazonium ion. The same effect
The activation parameters of dediazoniations found from Eqs. (3) and (4).
+
ΔS (J K−1 mol−1
#
ΔH (kJ mol−1
#
ArN
BD
2
lnA
E
a
(kJ/mol)
)
)
34.9
37.1
37.4
110.2
122.9
131.4
35.7
130.0
57.3
107.5
113.8
128.7
−
is observed for the Br group.
4
4
MBD
BrBD
The next part of our study concerns the investigation of inhibiting or
promoting effects of surfactant micelles on the rate of decomposition of
+
the investigated ArN
2
ions. Diazonium ions have proved to be very sen-
−
sitive to their environment, [1,14,22,23] and thus proper understanding
of their behaviour in the micellar systems is of great importance [14–16,
BD ion, or of arenediazonium ion bearing the electron-releasing CH
group [11].
3
24,25]. Hydrophobicity of arenediazonium ion and charge of the micelle
The next factor influencing the dediazoniation reaction, investigated
by us is temperature. As follows from Fig. 3 4MBD decomposition be-
comes significantly faster when the temperature increases from 22 to
are believed to be the most important factors affecting the localization
of ions in the micellar system. Positively charged hydrophilic
arenediazonium ions do not associate with cationic micelles [32]
whereas they are incorporated into negatively charged SDS micelles
and their preferential location is very close to the micellar surface. At
the same time no evidence of tight ion-pairs formation between diazo-
nium ions and anionic micelles was found [24]. One could expect similar
weak interactions of arenediazonium ions with nonionic micelles. Ac-
cording to the Pseudophase Model [33], the observed rate constant is
given by Eq. (4).
6
0 °C. The effect is similar for 4BrBD and BD ions.
Solid lines in Figs. 2 and 3 represent the first order kinetics plotted
according to the equation:
−kobs t
CðtÞ ¼ C0e
ð1Þ
+
where: C is the initial concentration of ArN
0
2
, C is its concentration after
time t and kobs is the temperature dependent rate constant.
Using Eq. (1) and the non-linear fitting procedure we determined
the observed rate constants and half-life times at different tempera-
tures. They are collected in Table 1.
kobs ¼ k
þ k ꢀ K ꢀ ½Mꢁ
ð4Þ
w
M
S
1
þ K ꢀ ½Mꢁ
S
One can see that the substituted ions decompose slowly in compar-
ison with BD. For example the half-life times for 4MBD and 4BrBD are
about ten and two hundred times higher than for BD, respectively. The
obtained results are in accordance with literature data [6,10,17,19,22].
Knowing the rate constants at different temperatures, we were able
to determine experimental activation parameters. Fig. 4A shows the
corresponding Arrhenius plots:
S
where: K is the association constant, [M] is the molar concentration of
surfactant in the micelles, and the subscripts W and M refer to the aque-
ous and micellar pseudophases.
There are numerous methods of determining the association con-
stant K
S
[24,25]. Among them, the UV–VIS spectroscopy is very popular.
and k
By fitting Eq. (4) to the obtained pairs of data (kobs and [M]) K
S
M
values can be estimated. However, in the case of our systems such an
approach cannot be used. Firstly, because at low temperatures (20–
30 °C) kinetics is very slow (especially for 4MBD and 4BrBD) and thus
the reliable estimation of kobs from experimental kinetic data is difficult.
Secondly, because at the highest temperature (60 °C) investigated by us,
the shift in absorbance due to the presence of 0.01 M SDS is very small
at least for BD and 4MBD ions (Figs. 5 and 6). The changes in absorbance
due to the presence of SDS are evident only in the case of 4BrBD (Fig. 7).
The SDS micelles have a stabilizing effect and the dediazoniation pro-
cess becomes slower.
Ea 1
lnkobs ¼ lnA− R T
ð2Þ
a
where E is an activation energy, A is a pre-exponential factor and R is
the gas constant.
The activation enthalpies and entropies were obtained according to
the absolute rate theory by means of Eq. (3) (Fig. 4B):
ꢀ
ꢁ
#
#
hkobs
ΔS
ΔH
R
1
T
ln
¼
−
ð3Þ
k T
R
B
B
where k and h are the Boltzmann and Planck constants, respectively.
Table 2 shows the obtained activation energies and activation pa-
+
rameters. The activation energies for the substituted ArN
2
ions are
higher than for BD, being in agreement with their greater stability. The
pre-exponential factor for BD is smaller than the pre-exponential factors
for 4MBD and 4BrBD which have approximately the same values.
#
The values of ΔH are positive and relatively high compared with
those for bimolecular reactions, and the entropic terms are also mean-
ingfully positive [27]. These values contrast with those usually found
for bimolecular reactions, which are substantially lower because break-
ing of old bonds, which requires energy, and formation of new ones,
#
which releases energy are usually synchronous [28]. Thus, ΔH values
from Table 2 suggest a transition state that has undergone bond break-
ing which is partly compensated by bond formation.
Dediazoniation, as described in Scheme 1A, suggests that formation
of the aryl cation does not involve separation of charge but its redistri-
bution; thus, the parent arenediazonium ion and the aryl cation polarize
the solvent to a similar extent; therefore, the gain of entropy is not com-
#
pensated and dediazoniations show relatively high ΔG values, indicat-
#
ing slight solvent dependence [4]. Positive ΔS values, as we have found,
suggest that the transition state has a greater structural freedom than
the reactants. On the other hand, because ΔS# values are positive, they
compensate the large enthalpy term, making dediazoniations proceed
Fig. 5. BD decomposition in time for various SDS concentrations; pH = 1.81, T = 60 °C.
(