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)

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, $\Delta t=4\times \frac{2}{3}\times \frac{{\Delta }_0}{6}$
$=\frac{4}{9}{\Delta }_0$