Question:

Why is \([Ti(H_2O)_6]^{3+}\) coloured?

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Transition metal complexes are coloured due to electronic transitions within split d-orbitals in the presence of ligands.
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Solution and Explanation

Step 1: In the complex \([Ti(H_2O)_6]^{3+}\), the titanium ion is in the +3 oxidation state with electronic configuration: \[ Ti^{3+}: [Ar]\,3d^1 \] Step 2: The presence of one unpaired electron in the 3d orbital allows for electronic transitions between \( t_{2g} \) and \( e_g \) levels when light is absorbed.
Step 3: This \( d{-}d \) transition is responsible for the colour observed in the complex.
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