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Can. J. Chem. Vol. 86, 2008
Table 2. The solvatochromic and normalized polarity parameters
of different aqueous solutions.
concentrations used in this work, which is in agreement with
results of other homologous triorganotin(IV) systems re-
ported before (27).
Ethanol
(% v/v)
Dielectric
constant
N
ET
β
α
π*
Solvent effect
50
55
60
65
70
80
65.67
63.63
61.34
58.76
55.84
48.64
1.097
1.085
1.072
1.057
1.040
0.999
0.536
0.547
0.559
0.572
0.587
0.625
0.960
0.939
0.916
0.890
0.860
0.786
0.918
0.905
0.891
0.874
0.855
0.809
To obtain a quantitative method for determination of the
solvent effect on physical properties, many empirical solvent
scales have been devised during the last two decades (28–
29). Among these scales (more than 40), the most compre-
hensive are the solvatochromic ones, but only a few of them
have found a wider application in the correlation analysis of
solvent effects. A quantitative measurement of the solvent
polarity has been introduced by Kamlet, Abboud, Abraham,
and Taft (KAT) (30–31). The KAT equation contains non-
specific as well as specific solute–solvent interactions sepa-
rately, and the latter should be subdivided into solvent
Lewis-acidity interactions (hydrogen-bond accepter, HBA,
solute and hydrogen-bond donor, HBD, solvent) and solvent
Lewis-basicity interactions (HBD solute–HBA solvent). This
approach has been widely and successfully applied in the
correlation analysis of many solvent-dependent processes
(28). Using the solvatochromic solvent parameters, α, β, and
π*, which have been introduced in previous reports (32–35),
the multiparametric equation, eq. [5], has been proposed for
use in the so-called linear solvation energy relationship.
solvent properties by means of single and multiple linear re-
gression analysis by a suitable computer program (37). We
used the Gauss–Newton linear least-squares method in the
computer program to refine the pK by minimizing the error
squares sum from eq. [7]. Single-parameter correlations of
log K11 and log K12 in terms of individually with α, β, or π*
did not give a good result for both cases.
2
[7]
S = ∑ (pKexp – pKcal)
So, we thought it would be interesting to correlate log K
versus a multiparametric equation involving α, β, and π*.
However, the results from eq. [5], multiparametric equation,
indicate significant improvement with regard to the single-
parameter models, eqs. [8] and [9] for dimethylphenyltin(IV)
and triphenyltin(IV), respectively.
[5]
pK = A0 + aα + bβ + pπ*
where A0 represents the regression value and π* is the index
of the solvent dipolarity/polarizability, which is a measure of
the ability of a solvent to stabilize a charge or a dipole by its
own dielectric effects. The π* scale was selected to run from
0.0 for cyclohexanone to 1.0 for dimethylsulfoxide. The α
coefficient represents the solvent hydrogen-bond donor
(HBD) acidity, in other words it describes the ability of a
solvent to donate a proton in a solvent to a solute hydrogen
bond. The α scale extends from 0.0 for nonHBD solvents to
about 1.0 for methanol. The β coefficient is a measure of a
solvent hydrogen-bond acceptor (HBA) basicity and de-
scribes the ability of a solvent to accept a proton in a solute
to solvent hydrogen bond. The β scale was selected to extend
from 0.0 for nonHBA solvents to about 1.0 for
hexamethylphosphoric triamide. The empirical values of the
solvatochromic solvent parameters (α, β, and π*) for pure
ethanol and water were found in the literature (28). How-
ever, the solvatochromic parameters for the different binary
aqueous mixtures of ethanol were calculated with the proce-
dure proposed by Blanco et al. (36) (eq. [6]),
[8a] pK11 = 353.79 + 219.86α – 464.73β – 359.40π*
[8b] pK12 = 78.37 + 207.05α – 181.24β – 210.36π*
(n = 5, r2 = 0.9983 and 0.9994, respectively)
[9a] pK11 = 551.80 + 154.92α – 618.97β – 405.36π*
[9b] pK12 = 560.77 + 592.52α – 859.30β – 775.68π*
(n = 6, r2 = 0.9997 and 0.9994, respectively)
The coefficients of π*, α, and β in eqs. [8]–[9] are very
different from each other and are almost in the order of β >
π* > α. This indicates the hydrogen-bond acceptor basicity
parameter of the solvent is the most important, the polarity
parameter plays a relatively small role, and finally, the hy-
drogen-bond donor acidity parameter has less significance in
changing the hydrolysis constant of tin(IV) systems in the
proposed various aqueous solutions of ethanol.
The solvent polarity parameter of the media, π*, increases
with increasing the mole fraction of water in aqueous solu-
tions of ethanol. If the π* of the media was the only factor
for the solvent effect on the complexation, it may be ex-
pected that the log K in a solution with a higher dielectric
constant should be greater than those of all the other aque-
ous solutions of ethanol. However, the hydrolysis constants
increase with increasing the solvent hydrogen-bond acceptor
basicity parameter, β, and decreases with increasing the sol-
vent polarity, π*, and the hydrogen-bond donor acidity pa-
rameter of the solvents, α, for different ethanol–water
mixtures, Table 1.
[6]
Pmixture = PEtOHXEtOH + PH O XH O
2 2
where P is the property of interest and X is the mole fraction
of the component in the solution. The calculated values of
solvatochromic parameters used for different aqueous mix-
tures of ethanol are listed in Table 2.
In eq. [5], the discontinuous polarizability correction term
is omitted because of the solvent used in this work contain-
ing no chlorine atoms. The regression coefficients, a, b, and
p, measure the relative susceptibilities of the solvent-
dependent log K to the indicated solvent parameters.
To explain the obtained log K values through the KAT sol-
vent parameter, the formation constants were correlated with
We have also tried to use the polarity scale proposed by
Reichardt (28, 38), ET, based on the solvatochromic behavior
of pyridinium N-phenoxide betaine dye. This dye is the most
solvatochromic compound reported to date. This scale has
© 2008 NRC Canada