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aqueous solution. The constant for the first hydrolysis (|log K OH |) is a parameter often
used in QSAR studies, based on the premise that the metal ions are found as aqua
complexes in biological systems (Newman and McCloskey1996; Tatara et al. 1997;
Enache et al. 2003).
Quantitative correlations between a cation's acidity and electrostatic parameter
can be made (Wulfsberg 1991). A good correlation can be found by plotting the
pK a versus the electrostatic parameter (Z 2 /r where r is expressed in pm) for the ele-
ments with an electronegativity of χ ≤ 1.5. The following empirical equation was
obtained;
Z
r
2
.
(3.67)
pK
=
15.14
88.16
a
For the more electronegative metals (χ > 1.5 on the Pauling scale), the points deviate
substantially from the line, so Equation (3.67) was corrected with an empirically
derived factor:
2
Z
r
.
(
)
pK
=
15.14
88.16
+
0.096
χ
1.50
(3.68)
a
Pauling
The constant for the first hydrolysis (|log K OH | ) was correlated also with the
covalent index Xr
2
m in QSAR studies (Newman and McCloskey 1996; Tatara
et al. 1997, 1998).
3.6
SOLUBILITY OF METAL COMPOUNDS
AND METAL ION HYDRATION
3.6.1 t HErmodynamic a spEcts of s olubility
To describe the phenomena that occur during the solubility process, the relationship
between the solubility equilibrium constant and the free enthalpy variation can be
defined first:
Δ G o = − RT lnK eq .
(3.69)
As for other reactions, K eq , and thus solubility, increases as the Δ G o becomes increas-
ingly negative. Free enthalpy variation is related to the variation in both enthalpy and
entropy:
Δ G o = Δ H o T Δ S o .
(3.70)
During the dissolution process, two opposite processes occur—release of ions
from the crystal lattice (endothermic process) and hydration of the liberated ions
(exothermic process).
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