The correct order of spin only magnetic moments for the following complex ions is [2023]

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Solution

Q.
The correct order of spin only magnetic moments for the following complex ions is [2023]

1 ${[Fe {(CN)}_{6}]}^{3 -} < {[Mn {(CN)}_{6}]}^{3 -} < {[{CoF}_{6}]}^{3 -} < {[{MnBr}_{4}]}^{2 -}$

2 ${[Fe {(CN)}_{6}]}^{3 -} < {[{CoF}_{6}]}^{3 -} < {[{MnBr}_{4}]}^{2 -} < {[Mn {(CN)}_{6}]}^{3 -}$

3 ${[{MnBr}_{4}]}^{2 -} < {[{CoF}_{6}]}^{3 -} < {[Fe {(CN)}_{6}]}^{3 -} < {[Mn {(CN)}_{6}]}^{3 -}$

4 ${[{CoF}_{6}]}^{3 -} < {[{MnBr}_{4}]}^{2 -} < {[Fe {(CN)}_{6}]}^{3 -} < {[Mn {(CN)}_{6}]}^{3 -}$

Ans.
(1)

${[{Fe (CN)}_{6}]}^{3 -} \to 3 d^{5} \overset{SFL}{\to} t_{2 g}^{2, 2, 1} e_{g}^{0, 0},$ $n = 1;$ $μ = 1.73 BM$

${[{Mn (CN)}_{6}]}^{3 -} \to 3 d^{4} \overset{SFL}{\to} t_{2 g}^{2, 1, 1} e_{g}^{0, 0},$ $n = 2;$ $μ = 2.83 BM$

${[{CoF}_{6}]}^{3 -} \to 3 d^{6} \overset{WFL}{\to} t_{2 g}^{2, 1, 1} e_{g}^{1, 1},$ $n = 4;$ $μ = 4.9 BM$

${[{MnBr}_{4}]}^{2 -} \to 3 d^{5} \to_{(Tetrahedral,C.N.=4)}^{W F L} e_{g}^{1, 1}, t_{2 g}^{1, 1, 1},$ $n = 5;$ $μ = 5.92 BM$

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