Number of complexes with even number of electrons in orbitals is

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Solution

Q.
Number of complexes with even number of electrons in $t_{2 g}$ orbitals is -

${[Fe(H_{2} O)_{6}]}^{2 +}, {[Co(H_{2} O)_{6}]}^{2 +}, {[Co(H_{2} O)_{6}]}^{3 +}, {[Cu(H_{2} O)_{6}]}^{2 +}, {[Cr(H_{2} O)_{6}]}^{2 +}$ [2024]

1 3

2 5

3 2

4 1

Ans.
(1)

Complex Electronic
configuration
of central metal
ion without
octahedral
splitting Electronic
configuration of
central metal ion
after octahedral
splitting Number of
electrons
in $t_{2 g}$

${[{Fe(H}_{2} {O)}_{6}]}^{2 +}$ ${Fe}^{2 +} = {}_{18}{[Ar]} 3 d^{6}$    $t_{2 g}^{2, 1, 1} e_{g}^{1, 1}$ 4

${[{Co(H}_{2} {O)}_{6}]}^{2 +}$ ${Co}^{2 +} = {}_{18}{[Ar]} 3 d^{7}$    $t_{2 g}^{2, 2, 1} e_{g}^{1, 1}$ 5

${[{Co(H}_{2} {O)}_{6}]}^{3 +}$ ${Co}^{3 +} = {}_{18}{[Ar]} 3 d^{6}$    $t_{2 g}^{2, 2, 2} e_{g}^{0, 0}$ 6

${[{Cu(H}_{2} {O)}_{6}]}^{2 +}$ ${Cu}^{2 +} = {}_{18}{[Ar]} 3 d^{9}$    $t_{2 g}^{2, 2, 2} e_{g}^{2, 1}$ 6

${[{Cr(H}_{2} {O)}_{6}]}^{2 +}$ ${Cr}^{2 +} = {}_{18}{[Ar]} 3 d^{4}$ $t_{2 g}^{1, 1, 1} e_{g}^{1, 0}$ 3

Note: In complexes with C.N = 6, ${Co}^{3 +}$ undergoes $d^{2} {sp}^{3}$ hybridization (except in complexes with C.N = 6, where ${Co}^{3 +}$ undergoes ${sp}^{3} d^{2}$ hybridization).

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