Explain why [Fe(H2O)6]3+ has high magnetic moment value of 5.92 BM whereas magnetic moment of [Fe(CN)6]3– has value of only 1.74 BM.

In [Fe(H2O)6]3+


Electronic configuration of Fe is: [Ar]3d64s2


[Ar] = 1s22s22p63s23p6


Electronic configuration of Fe+3 = [Ar]3d5



Outer electronic configuration of Fe+3 = 3d5


Oxidation number of Fe is +3



The electrons remain unpaired because H2O is weak field ligand. Total no. of the unpaired electron, n = 5.


We know,


Spin only magnetic moment is given by:


μ = [n(n + 2)]1/2



μ = [5×7]1/2 [As, unpaired electrons are 5]



μ = 5.916BM


Hybridization is sp3d2.


In case of [Fe(CN)6]3-


Electronic configuration of Fe is: [Ar]3d64s2


[Ar] = 1s22s22p63s23p6


Electronic configuration of Fe+3 = [Ar]3d5



Outer electronic configuration of Fe+3 = 3d5


Oxidation number of Fe is +3



Hybridization is d2sp3


Since, CN- is a strong field ligand so it pairs up the electron.


Thus, total no. of unpaired electrons = 1



We know,


Spin only magnetic moment is given by:



μ = [n(n + 2)]1/2



μ = [1×3]1/2 [As, unpaired electrons are 1]



μ = 1.732BM




Therefore, we can see that spin only magnetic moment of [Fe(H2O)6]3+ is more than [Fe(CN)6]3- .


so, [Fe(H2O)6]3+ is strongly paramagnetic whereas [Fe(CN)6]3 weakly paramagnetic.





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