Concept:
The geometry, hybridization and magnetic properties of coordination compounds depend upon:
• Oxidation state of the central metal ion.
• Electronic configuration of the metal ion.
• Strength of the ligand present.
• Crystal field splitting produced by the ligand.
According to Crystal Field Theory, strong field ligands pair the electrons present in d-orbitals whereas weak field ligands generally do not cause pairing. Consequently, the type of hybridization and magnetic behaviour of the complex changes significantly.
Step 1: Determine the oxidation state of nickel in both complexes.
For
\[
[NiCl_4]^{2-}
\]
let the oxidation state of nickel be \(x\).
\[
x+4(-1)=-2
\]
\[
x=+2
\]
Similarly, for
\[
[Ni(CN)_4]^{2-}
\]
\[
x+4(-1)=-2
\]
\[
x=+2
\]
Thus, in both complexes:
\[
Ni^{2+}
\]
is present.
Step 2: Write the electronic configuration of \(Ni^{2+}\).
Atomic number of nickel:
\[
Z=28
\]
Electronic configuration of Ni:
\[
[Ar]\,3d^8\,4s^2
\]
Electronic configuration of
\[
Ni^{2+}
\]
is:
\[
[Ar]\,3d^8
\]
Step 3: Analysis of \([NiCl_4]^{2-}\).
Chloride ion is a weak field ligand.
It is unable to pair the electrons present in the \(3d\)-orbitals.
Hence electron pairing does not occur.
The complex therefore uses outer orbitals for hybridization.
Hybridization:
\[
sp^3
\]
Geometry:
Tetrahedral
Since two unpaired electrons remain present, the complex is paramagnetic.
\[
\boxed{
[NiCl_4]^{2-}
\rightarrow
sp^3
\text{ hybridization}
}
\]
Step 4: Analysis of \([Ni(CN)_4]^{2-}\).
Cyanide ion is a strong field ligand.
It causes pairing of the \(3d\)-electrons.
After pairing, one \(3d\)-orbital becomes vacant and participates in hybridization.
Hybridization:
\[
dsp^2
\]
Geometry:
Square planar
Since all electrons become paired, the complex is diamagnetic.
\[
\boxed{
[Ni(CN)_4]^{2-}
\rightarrow
dsp^2
\text{ hybridization}
}
\]
Step 5: Identify inner and outer orbital complexes.
In
\[
[Ni(CN)_4]^{2-}
\]
the inner \(3d\)-orbital participates in hybridization.
Therefore it is an inner orbital complex.
In
\[
[NiCl_4]^{2-}
\]
the outer orbitals participate in hybridization.
Therefore it is an outer orbital complex.
Final Answers:
\[
\boxed{
[NiCl_4]^{2-}
:
sp^3
\text{ hybridization}
}
\]
\[
\boxed{
[Ni(CN)_4]^{2-}
:
dsp^2
\text{ hybridization}
}
\]
\[
\boxed{
[NiCl_4]^{2-}
\text{ is an outer orbital complex}
}
\]
\[
\boxed{
[Ni(CN)_4]^{2-}
\text{ is an inner orbital complex}
}
\]
\[
\boxed{
[NiCl_4]^{2-}
\text{ is paramagnetic}
}
\]
\[
\boxed{
[Ni(CN)_4]^{2-}
\text{ is diamagnetic}
}
\]