R. Kalal, D. Panday
Journal of the Indian Chemical Society 98 (2021) 100009
with the selected solvents. The kinetics was nearly same with these sol-
Table 7
vents. In Table 6, corresponding K# and k2 values are mentioned.
Correlation of the rates of oxidation of alcohols in terms of Pavelich- Taft
equation.
T (K)
ρ
*
δ
R2
sd
ψ
n
4. Discussion
293
303
313
323
ꢀ2.30 ꢁ 0.01
ꢀ2.19 ꢁ 0.02
ꢀ2.07 ꢁ 0.02
ꢀ1.97 ꢁ 0.01
ꢀ1.21 ꢁ 0.02
ꢀ1.14 ꢁ 0.03
ꢀ1.08 ꢁ 0.01
ꢀ1.03 ꢁ 0.01
0.9998
0.9999
0.9999
0.9998
0.0042
0.0041
0.0094
0.0089
0.016
0.011
0.011
0.016
9
9
9
9
The enthalpies and entropies of the oxidation of nine alcohols
revealed adequate correlation (r2 ¼ 0.9979) with an isokinetic temper-
ature 750.14 ꢁ 1.8 K. The correlation was checked and observed
authentic with Exner's criterion [8]. The Exner's graphic between the
values of log k2 at 293 K and at 323 K, for the nine alcohols, was linear
(slope ¼ 0.8504 ꢁ 2.03, r2 ¼ 0.9999) and value of isokinetic temperature
was 773 ꢁ 17 K. The two values showed perfect agreement. For validity
of linear free energy relationships8, a linear isokinetic relationship is an
essential requirement. It specifies that all the reactions which are
correlated, oxidized through common mechanism.
n ¼ number of data points.
log k2 ¼ 0.42 ꢁ 0.01 A þ 1.65 ꢁ 0.03 B–3.75
R2 ¼ 0.9999, sd ¼ 0.003, n ¼ 19,
(9)
(10)
(11)
(12)
ψ ¼ 0.01, T ¼ 313 K
log k2 ¼ 0.18 ꢁ 0.54 A - 2.61
Protonated oxidant (IQDCHþ) appears to be an ionic compound. In
our reaction ambience the nature of IQDC is determined at 313 K with
conductivity measurements. Low conductivity of DMSO and insignificant
variation in conductivity value due to the inclusion of IQDC in DMSO was
observed; therefore IQDC does not break up as isoquinolinium and di-
chromate ions thus IQDC remain non-ionised in our reaction system. The
rate of oxidation does not alters on addition of isoquinolinium ion, also
favours the postulation that IQDC remain as non-ionised.
It is observed, after protonation IQDC (X) produce a protonated
Cr(VI) species (Y) which is active electrophile and stronger oxidant (eq.
(6)). Thus, oxidation process through IQDC depends upon proton
concentration.
r2 ¼ 0.0068, sd ¼ 0.44, n ¼ 19,
log k2 ¼ 1.62 ꢁ 0.07 B–3.61
r2 ¼ 0.9654, sd ¼ 0.08, n ¼ 19,
ψ
ψ
¼ 1.02, T ¼ 313 K
¼ 0.19, T ¼ 313 K
log k2 ¼ 1.24 ꢁ 0.16 (A þ B) – 3.71
r2 ¼ 0.7861, sd ¼ 0.20, n ¼ 19,
ψ ¼ 0.47, T ¼ 313 K
The observed results of solvent effect revealed a perfect correlation
regarding Swain's equation with both solvating power of cation- and
anion-participating with perceived effect of solvent. Although, the
contribution of solvating power of cation is greater, it alone contributes
for 96.54% of the data. (A þ B), represents the polarity of the solvent,
explains 78.61% of the data. Relative permittivities of the solvents were
correlated with the data by considering that 78.61% of the data is
contributed by polarity of the solvent. The above mentioned data was
K1
ðIQOHÞ2Cr2O5 þ Hþ⇌ðIQOHÞ2OCrðOHÞOCrO2
(6)
ðXÞ
ðYÞ
Here, BI represents benzimidazole. Further, effect of proton concentra-
tion on rate could be expressed as -
correlated with the Kirkwood function, (ε-1)/(2εþ1), here ‘ε’ is dielectric
1/ kobs ¼ a þ b / [Hþ]
(7)
constant of the medium. A graphic between log k2 and Kirkwood func-
tion, though, It is not linear (r2 ¼ 0.4758). This showed that the relative
permittivity and polarity of solvent do not represent the same solvent
characteristics, defined by Swain et al. [14].
Generation of a protonated Cr(VI) complex has been before suggested
in the reactions of other Cr(VI) complexes [9,10]. Magnified reactivity
obtained due to the internal electron transfer from hydroxy acid to IQDC
which promotes by the protonation of IQDC. Further, hydrogen ion de-
pendency shows fast equilibrium amid (X) and (Y), magnitude of equi-
librium constant, K1, is less and at higher concentrations of [Hþ] the
reaction remains incomplete because at higher hydrogen ion concen-
tration no leveling of velocity constants occurred. No astounding oxida-
tion noticed without TsOH recommends that just the protonated IQDC
(Y) carries on like an oxidizing species. In oxidation of MA by BIDC
similar kind of hydrogen-ion dependency observed [11].
4.2. Correlation analysis of reactivity
Preliminary computation showed that the rate constants (k2) of the
oxidation of alcohols do not reveal acceptable correlation either with the
Taft polar (
σ*) or steric substituent (Es) parameters separately [15].
log k2 ¼ (ꢀ2.86 ꢁ 0.57)
σ
* -
1.47
(13)
2.24
(14)
r2 ¼ 0.7799, sd ¼ 0.73, n ¼ 9,
log k2 ¼ (ꢀ1.68 ꢁ 0.44) Es –
r2 ¼ 0.6792, sd ¼ 0.88, n ¼ 9,
ψ
ψ
¼ 0.50, T ¼ 313 K
¼ 0.60, T ¼ 313 K
4.1. Solvent effect
The described data in Table 6 represents that with change in solvent
the rate constant (k2), varies considerably though equilibrium con-
stant(K#), is quite insensible. Similar kind of oxidation kinetics observed
in aliphatic primary alcohols oxidation by BIDC [12]. Hence, k2 for the
breakdown of complexes, in 18 solvents (CS2 has not been studied
because the absolute range of solvent parameters are unavailable), have
been associated regarding linear solvation energy relationship (LSER) of
Kamlet et al. [13]. Irrelevant correlations were observed.
Regarding to the Swain's [14] eq. (8), data of solvent effect had been
studied where A, B and (A þ B) denotes the solvating power of anion,
solvating power of cation and polarity of solvent respectively and inter-
cept term denoted by C.
Therefore, the rates were evaluated in terms of dual substituent-
parameter (DSP) equation (eq. (15)) of Palvelich and Taft [15].
log k2 ¼
ρ*
σ* þ δ Es þ log ko
(15)
The observed correlation was excellent with negative reaction con-
stants (Table 7). A steric acceleration is indicated by negative steric re-
action constant of the reaction. This may be described based on large
ground state energy of the sterically crowded alcohols. Since the
crowding is relieved in the product aldehyde as well as in the transition
state leading to it, the transition state energies of the crowded and non-
crowded alcohols do not vary much and a steric acceleration, therefore,
results.
log k ¼ aA þ bB þ C
(8)
In respect of Swain's eq. (8) the conclusion of the correlation studies,
separately with A, B and (A þ B) are described as:
5