Question
$\left.Ti \left( H _2 O \right)_6\right]^{2+}$ is purple in colour. Prove this statement.

Answer

1. In $\left[ Ti \left( H _2 O \right)_6\right]^{2+}$, the central metal ion is $Ti ^{3+}$ which has $d ^1$ configuration. This single electron occupies one of the $t_{2 g}$ orbitals in the octahedral aqua ligand field.
2. When white light falls on this complex, the d electron absorbs light and promotes itself to eg level.
3. The spectral data show the absorption maximum is at $20000 mol ^{-1}$ corresponding to the crystal field splitting energy $\left(\Delta_0\right) 239.7 kJ mol ^{-1}$. The transmitted colour associated with this absorption is purple and hence the complex appears in purple in colour.

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