question_answer

The value of the 'spin only' magnetic moment for one of the following configurations is 2.84 BM. The correct one is

A) \[{{d}^{5}}\] (in strong ligand field)

B) \[{{d}^{3}}\] (in weak as well as in strong fields)

C) \[{{d}^{4}}\] (in weak ligand fields)

D) \[{{d}^{4}}\] (in strong ligand fields)

Correct Answer: D

Solution :

[d] \[{{d}_{5}}-\]strong ligand field \[\mu =n\sqrt{n+2}=\sqrt{3}=1.73BM\] \[{{d}^{3}}-\]in weak as well as in strong field \[\mu =\sqrt{3(5)}=\sqrt{15}=3.87B.M.\] \[{{d}^{4}}-\] in weak ligend field \[\mu =\sqrt{4(6)}=\sqrt{24}=4.89\] \[{{d}^{4}}-\] in strong ligand field \[\mu =\sqrt{2(4)}=\sqrt{8}=2.82\]