1.

[Ni(CN)_4 ]^(2-)is diamagnetic ,while[NiCl_4]^(2) -is paramagnetic ,explain using crystal field theory.

Answer»

Solution :(a) `[Ni(CN)_(4)]^(2-)`
`Ni=3d^(8)4S^(2)`
`Ni^(2+)=3d^(8)`

Nature of the complex - Low spin (Spin paired)
Ligand filled electronic configuration of central metal ion, `t_(2g)^(6)e_(g)^(2)`
Magnetic PROPERTY : No unpaired ELECTRON (`CN^(-)` is strong filled ligand), HENCE it is diamagnetic.
Magnetic moment : `mu_(s)=0`
(b) `[NiCl_(4)]^(2-)`
`Ni=3d^(8)4S^(2)`
`Ni^(2+)=3d^(8)`

Nature of the complex, - high spin
Ligand filled electronic configuration of central metal ion, `t_(2g)^(6)e_(g)^(2)`
magnetic property : Two unpaired electron (`Cl^(-)` is weak field ligand). Hence it is paramagnetic
Magnetic moment : `mu_(s)=sqrt(2(2+2))`
`=sqrt(8)=2.83BM`


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