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CFSE in Octahedral and Tetrahedral Complexes

Find the crys...

Question

Find the crystal field stabilization energy (CFSE) (in kJ/mol) for complex, ${[T i {(H_{2} O)}_{6}]}^{3 +}$ . According to CFT, the first absorption maximum is obtained at $20, 3000 c m^{- 1}$ for the transition

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Solution

$\begin{matrix} Δ E = h c ¯ ¯ ¯ v - 34 = 6.63 \times 10 J s \times 3.00 \times 10^{8} m / s \times 20300 c m^{- 1} \times \frac{100 c m}{1 m} = 4.037 \times 10^{- 19} J \end{matrix}$
This is energy change for one ion
For one mole
$\begin{matrix} Δ E = 4.037 \times 10^{- 19} J / i o n \times 6.02 \times 10^{23} i o n s / m o l = 243067 J / m o l \end{matrix}$
But, $1 k J = 1000 J$
$∴ Δ E = 243 k J / m o l$
But, $T_{1}$ ion has d' electron configuration
$C F S E = 0.4 Δ E$

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