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dx 2 - y 2
dx 2 - y 2
(eg)
dx 2 - y 2 , dz 2
(t 2 )
dxy
d xy , d xz , d yz
E
dz 2
d
∆o
∆T
d xy
d z 2
dx 2 - y 2 , dz 2
d xz , d yz
(e)
d xy , d xz , d yz
(t 2g )
d xz , d yz
Metal ion
in a spherical
negative eld
Octahedral
Tetragonal
Square planar
Tetrahedral
FIGURE 3.9 Crystal field splitting of d orbitals of central ion in complexes with geometries:
tetrahedral, octahedral, tetragonal, and square-planar.
3.3.2.4 Size of Transition 3d-Metal Ions
Variation with Z of the size of di- and trivalent 3 d cations in MO oxides of an
NaCl-type lattice presents a maximum for the d 5 configuration and two minimums
for the d 3 configurations (V 2+ , Cr 3+ ), and d 8 configurations (Ni 2+ ).
In a weak field and for a given oxidation state, the ionic radius decreases when
going from left to right in a transition series. The magnitude of this decrease is not uni-
form, being greater for d 4 , d 5 , d 9 , and d 10 . That is explained by differences in repulsion
between the distinctive electron and the anionic ligands. Thus, for ions with configura-
tions d 1 ≡ t 2g 1 , d 2 ≡ t 2g 2 , d 3 ≡ t 2g 3 , d 6 ≡ t 2g 4 e g 2 , d 7 ≡ t 2g 5 eg 2 , d 8 ≡ t 2g 6 e g 2 , the distinctive elec-
tron that occupies the t 2g orbitals is more weakly repulsed by the negative charges of
anionic ligands. As a consequence, it is subjected only to the influence of the increasing
nuclear effective charge. Ions with configurations d 4 ≡ t 2g 3 e g 1 , d 5 ≡ t 2g 3 eg 2 , d 9 ≡ t 2g 6 e g 3 ,
and d 10 ≡ t 2g 6 e g 4 have the distinctive electron in the e g orbitals and more interaction with
anionic ligands, resulting in the electron being more weakly attracted by the nucleus.
In a strong field, the radii of M 2+ and M 3+ ions decreases with Z up to the configu-
ration t 2g 6 . At that configuration, there is an increase with stepwise occupation of e g
orbitals being more influenced by the repulsing interaction with the anionic ligands.
Figure 3.10 represents the variation of divalent transition metal ions in combina-
tion with anions generating a weak and a strong field, respectively.
3.3.2.5 Hydration Enthalpy of Transition Metal Ions
Hydration enthalpy is extrapolated to infinite dilution when a metal ion coordi-
nates only six water molecules forming hexaaquacomplexes of type [M(H 2 O) 6 ] 2+,3+ .
 
 
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