Coordination Compounds - Result Question 50

####56. Low spin complex of $d^{6}$-cation in an octahedral field will have the following energy : [2012 M]

(a) $\frac{-12}{5} \Delta_o+P$

(b) $\frac{-12}{5} \Delta_o+3 P$

(c) $\frac{-2}{5} \Delta_o+2 P$

(d) $\frac{-2}{5} \Delta_o+P$

$(\Delta_o=.$ Crystal Field Splitting Energy in an octahedral field, $P=$ Electron pairing energy)

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Solution:

(b) for $d^{6}, t _{2 g}{ }^{6} e_g{ }^{0}$ (in low spin)

C.F.S.E $=-0.4 \times 6 \Delta_0+3 P$

$=-\frac{12}{5} \Delta_o+3 P$

[ $P$ is pairing energy for one electron]



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