Question

The crystal field splitting energy for octahedral $(\Delta_0)$ and tetrahedral $(\Delta_{t})$ complexes is related to :

• A. $\Delta_{t} = \frac{4}{9} \Delta_{o}$
• B. $\Delta_{t} = \frac{1}{2} \Delta_{o}$
• C. $\Delta_{o} = 2\Delta_{t}$
• D. $\Delta_{o} = \frac{4}{9} \Delta_{t}$

Answer 1

Answer: (A)

$\Delta_{t} = \frac{4}{9} \Delta_{o}$

Answer 2

Since splitting in tetrahedral complex is $\frac{2}{3}$ rd of octahedral complex ,so for one legand splitting in $OH =\frac{\Delta_{0}}{6}$, then for one legend splitting in tetrahedral is $\frac{2}{3}\left(\frac{\Delta_{0}}{6}\right)$, so for 4 legand, $\Delta t =4 \times \frac{2}{3} \times \frac{\Delta_{0}}{6}$ $=\frac{4}{9} \Delta_{0}$