Crystal field splitting energies for octahedral $\left(\Delta_0\right)$ and tetrahedral…
Crystal field splitting energies for octahedral $\left(\Delta_0\right)$ and tetrahedral $\left(\Delta_t\right)$ geometries caused by the same ligands are related through the expression
$\Delta_0=\Delta_t$
$4 \Delta_0=9 \Delta_1$
$9 \Delta_0=4 \Delta_1$
$\Delta_0=2 \Delta_1$
Solution
Octahedral splitting energy $\left(\Delta_0\right)$ and tetrahedral splitting energy $\left(\Delta_t\right)$.
For same ligands
$
\begin{aligned}
\Delta_t & =\frac{4}{9} \Delta_0 \\
9 \Delta_t & =4 \Delta_0
\end{aligned}
$