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  4. Among the following complexes, the one which shows zero crystal field stabilisation energy (CFSE) is

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Q. Among the following complexes, the one which shows zero crystal field stabilisation energy (CFSE) is

AIPMTAIPMT 2014Coordination Compounds

Solution:

The CFSE for octahedral complex is given by
CFSE $=\left[-0.4 t_{2 g} e^{-}+0.6 e_{g} e^{-}\right]$
For $M n^{3+},\left[3 d^{4}\right] \rightarrow t_{2 g}^{3} e_{g}^{1}$
$\therefore C F S E=[(-0.4 \times 3)+(0.6 \times 1)]=-0.6$
For $Fe e^{3+},\left[3 d^{5}\right] \rightarrow t_{2 g}^{3} e_{g}^{2}$
CFSE $=[-(0.4 \times 3)+(0.6 \times 2)]=0$
For $C^{2+},\left[3 d^{7}\right] \rightarrow t_{2 g}^{5} e_{g}^{2}$
CFSE $=[(-0.4 \times 5)+(2 \times 0.6)]=0$
$=-0.8$
For $C o^{3+},\left[3 d^{6}\right] \rightarrow t_{2 g}^{4} e_{g}^{2}$
CFSE $=[(-0.4 \times 4)+(2 \times 0.6)]$
$=-0.4$