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 :

\[{{d}^{5}}-\]strong ligand field

\[\mu =\sqrt{n(n+2)}=\sqrt{3}=1.73BM\]

\[{{d}^{3}}-\]on week as well as in strong field

\[\mu =\sqrt{3(5)}=\sqrt{15}=3.87B.M.\]

\[{{d}^{4}}-\]in week ligand field

\[\mu =\sqrt{4(4+2)}=\sqrt{24}=4.89\]

\[{{d}^{4}}-\] in strong ligand field

\[\mu =\sqrt{2(4)}=\sqrt{8}=2.82.\]