નીચેના નીચા સ્પીન સંકીર્ણમાં ફ્ક્ત સ્પીન આધારિત ચુબકીય ચાક્માત્રાનો સાચો ક્રમ જણાવો.

${\left[ {V\,{{\left( {CN} \right)}_6}} \right]^{4 - }}$ , ${\left[ {Fe\,{{\left( {CN} \right)}_6}} \right]^{4 - }}$ , ${\left[ {Ru\,{{\left( {N{H_3}} \right)}_6}} \right]^{3 + }}$ , અને ${\left[ {Cr\,{{\left( {N{H_3}} \right)}_6}} \right]^{2 + }}$

Question

નીચેના નીચા સ્પીન સંકીર્ણમાં ફ્ક્ત સ્પીન આધારિત ચુબકીય ચાક્માત્રાનો સાચો ક્રમ જણાવો.

${\left[ {V\,{{\left( {CN} \right)}_6}} \right]^{4 - }}$ , ${\left[ {Fe\,{{\left( {CN} \right)}_6}} \right]^{4 - }}$ , ${\left[ {Ru\,{{\left( {N{H_3}} \right)}_6}} \right]^{3 + }}$ , અને ${\left[ {Cr\,{{\left( {N{H_3}} \right)}_6}} \right]^{2 + }}$

A$C{r^{2 + }} > R{u^{3 + }} > F{e^{2 + }} > {V^{2 + }}$
B${V^{2 + }} > C{r^{2 + }} > R{u^{3 + }} > F{e^{2 + }}$
C$C{r^{2 + }} > {V^{2 + }} > R{u^{3 + }} > F{e^{2 + }}$
D${V^{2 + }} > R{u^{3 + }} > C{r^{2 + }} > F{e^{2 + }}$

JEE MAIN 2019, Diffcult

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Solution

b
Since $CN^-$ and $NH_3$ are strong field ligands, low spin complexes are formed.

Complex	Configuration	No. of unpaired electrons
$[V(CN)_6]^{4-}$	$t_{2g}^3\,e_g^0$	$3$
${[Cr{(N{H_3})_6}]^{2 + }}$	$t_{2g}^4\,e_g^0$	$2$
${[Ru{(N{H_3})_6}]^{3 + }}$	$t_{2g}^5\,e_g^0$	$1$
${[Fe{(CN)_6}]^{4 - }}$	$t_{2g}^6\,e_g^0$	$0$

Magnetic moment is directly proportion to number of unpaired electrons.

Complex	Configuration	No. of unpaired electrons
\([V(CN)_6]^{4-}\)	\(t_{2g}^3\,e_g^0\)	\(3\)
\({[Cr{(N{H_3})_6}]^{2 + }}\)	\(t_{2g}^4\,e_g^0\)	\(2\)
\({[Ru{(N{H_3})_6}]^{3 + }}\)	\(t_{2g}^5\,e_g^0\)	\(1\)
\({[Fe{(CN)_6}]^{4 - }}\)	\(t_{2g}^6\,e_g^0\)	\(0\)

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