The electronic spectrum of ${\left[\mathrm{Ti}{\left({\mathrm{H}}_2\mathrm{O}\right)}_6\right]}^{3+}$ shows a single broad peak with a maximum at $20,300{\mathrm{cm}}^{-1}$ . The crystal field stabilization energy (CFSE) of the complex ion, in kJ  ${\mathrm{mol}}^{-1}$, is : $\left(1\mathrm{kJ}{\mathrm{mol}}^{-1}=83.7{\mathrm{cm}}^{-1}\right)$

complex  ${\left[\mathrm{Ti}{\left({\mathrm{H}}_2\mathrm{O}\right)}_6\right]}^{+3}$ gives a peak at 20,300 ${\mathrm{cm}}^{-1}$

The crystal field strabilization energy is ${\mathrm{\Delta }}_0=\mathrm{hc}\overline{\gamma }$

$$\begin{gathered} \begin{array}{l}\therefore {\mathrm{\Delta }}_0=6.625\times {10}^{-34}\times 3\times {10}^8\times 20,300\\ =4\times {10}^{-19} \mathrm{J}/\text{ molecule }\\ =6.023\times {10}^{23}\times 4\times {10}^{-19} \mathrm{J}/\mathrm{mole}\\ =243005 \mathrm{J}/\mathrm{mole}=243 \mathrm{kJ}/\mathrm{mole}\mid \\ \mathrm{Ti}-22\left[\mathrm{Ar}\right]4{\mathrm{s}}^{2}3{\mathrm{d}}^2\\ {\mathrm{Ti}}^{+3}-\left[\mathrm{Ar}\right]4\mathrm{s}°3{\mathrm{d}}^1\end{array} \\ \mathrm{CFSE}=0.4{\mathrm{\Delta }}_0=0.4\times 243 \mathrm{kJ}/\mathrm{mole}=97 \mathrm{kJ}/\mathrm{mole} \end{gathered}$$