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replaced electrophilicity (ω) in the QSARs ( Table 5.20 ). However, only the electro-
philicity (ω)-based QSAR was able to distinguish between As 3+ and As 5+ toxicity
Sacan et al. (2009) developed 38 QSARs to predict the toxicity of cations to nitri-
fying bacteria ( Table  5.4 ). They measured oxygen consumption and carbon dioxide
production from nitrifying bacteria in the presence of unspeciated cation concen-
trations and speciated (labile) cation concentrations. Labile concentrations included
the free metal concentrations plus the concentration of the metal-anion complexes
having weak stability constants (log K). A 50% reduction in oxygen consumption
and carbon dioxide production was calculated for each metal and the correspond-
ing IC 50 values were converted to logarithmic toxicity units as pTO 2 a nd pT CO 2
(Table 5.4). pTO 2 a nd pT CO 2 QSARs were developed for 8 unspeciated cations using
8 physicochemical properties (Table 5.20). The pTO 2 QSARs for 8 unspeciated cat-
ions with the highest r 2 values, lowest SE values, and highest F values were those
developed with the cationic charge (Z) and the chemical potential of the gaseous
phase (µ (g) ) (Table 5.20). The pTCO 2 QSARs for 8 unspeciated cations with the high-
est r 2 values, lowest SE values, and highest F values were those developed with Z,
gaseous phase energy of HOMO energy ( E HOMO(g) ), and the chemical potential of
the gaseous phase (µ (g) ) (Table  5.20). Since the labile toxicity of Hg could not be
calculated, it was not included in the 7 cations used to develop pTO 2 -labile and
pT CO 2 -labile QSARs (Table 5.20). The pTO 2 -labile QSARs with the highest r 2 val-
ues, lowest SE values, and highest F values were those developed with the chemical
potential of the aqueous phase (µ (aq) ), µ (g) and the energy of the polarized solute sol-
vent ( E PSS ) (Table 5.20). As a result of eliminating Ag +3 and Cr +3 (the most and least
toxic cations to nitrifiers), the pTO 2 -labile QSAR for only 5 divalent cations had a
higher r 2 value, lower SE value, and higher F value than those QSARs developed for
7 cations (Table 5.20). The pTCO 2 -labile QSARs for 7 cations and 5 cations with the
highest r 2 values, lowest SE values, and highest F values were those developed with
the E PSS (Table 5.20). Using 2 physicochemical properties to develop QSARs for 8
unspeciated cations almost always consistently produced higher r 2 value, lower SE
value, and higher F value than those QSARs that used 1 physicochemical property
(Table 5.20).
As noted above, Mendes et al. (2010) developed QSARs for predicting cation tox-
icity using standard reduction-oxidation potential, electronegativity, and the Pearson
and Mawby (1967) softness parameter ( Table  5.12 ) . However, Mendes et al. (2010)
developed 9 QSARs for predicting cation toxicity using some less numerous physi-
cochemical properties (Table 5.20). The QSARs developed with the covalent index
X r
m
2 )
(
2 and the absolute value of the logarithm of the first hydrolysis con-
stant (|log K OH |) had the highest r 2 values, lowest p values, and lowest AIC values
(Table 5.20).
Su et al. (2010) developed 2 QSARs to predict the combined toxicity of phenols
and Pb to the bioluminescent bacterium Vibrio fischeri (formerly Photobacterium
phosphoreum ) (Table 5.4). However, since the 2 QSARs were not developed to pre-
dict cation toxicity, they were not included in Table 5.20.
Among the 128 QSARs in Table  5.20 that used less numerous physicochemi-
cal properties used to predict cation toxicity, there were some physicochemical
properties that were used more than a few times by different teams of investigators
or X r
m
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