Colour Of Complexes

Explain why transition elements can form coloured complexes

  • Repulsion between d-electrons and lone pairs on ligands cause the d-subshell to split into two sets of non degenerate d-orbitals.
  • An electron from the lower energy d-orbital absorbs a photon having a specific frequency of visible light and is promoted to a higher energy d-orbital.
  • The absorbed frequency is missing from the transmitted light therefore the complementary colour is seen.

d-d Splitting Due to Ligands

Isolated Metal Ion

In an isolated metal ion, the orbitals are degenerate.

3d orbitals have the same energy (degenerate)|
3d orbitals have the same energy (degenerate)|

Splitting in Tetrahedral Complexes

Tetrahedral Molecular Geometry

Tetrahedral molecular geometry
Tetrahedral molecular geometry

Key features:

  • 4 ligands attached to a central metal ion.
  • Bond angle of

Tetrahedral shape from cube
Tetrahedral shape from cube

The tetrahedral shape can be thought of as resulting from alternating corners of a cube.

How ligands approach central metal ion in tetrahedral complexes

Approach of ligands in a tetrahedral complex
Approach of ligands in a tetrahedral complex

Direction of Ligand Approach

  • In a tetrahedral shape, four ligands approach the central metal ion from alternating corners of a cube containing the metal ion at its centre.
  • Importantly, these directions do not lie along the , and axes. Instead, the ligands approach in between the axes.

Electrostatic Interaction

  • The lobes of the , and orbitals point in the regions between the axes. Therefore, they point much closer to the approaching ligands. This results in greater electrostatic repulsion for these 3 orbitals.
  • The and orbitals point along the axes, which are further away from the path of the incoming ligands. They experience less repulsion

Resulting Energy Levels

  • Due to more repulsion from ligands, the , and orbitals are at a higher energy level.
  • Due to less repulsion from ligands, the and are at a lower energy level.

d-d splitting in tetrahedral complexes
d-d splitting in tetrahedral complexes

Splitting in Octahedral Complexes

Octahedral Molecular geometry

Octahedral molecular geometry
Octahedral molecular geometry

Key features

  • bond angle
  • Shape coincides with Cartesian axes (, , )

How ligands approach central metal ion in octahedral complexes

Approach of ligands in octahedral complex
Approach of ligands in octahedral complex

Direction of Ligand Approach

  • In an octahedral shape, six ligands approach the central metal ion directly along the , and axes

Electrostatic Interaction

  • The lobes of the and orbitals point directly at the approaching ligands. This results in maximum electrostatic repulsion.
  • The lobes of the , , and orbitals point between the axes, away from the direct line of approach of the ligands. They experience less repulsion.

Resulting Energy Levels

  • Due to more repulsion from ligands, the and are at a higher energy level.
  • Due to less repulsion from ligands, the , and orbitals are at a lower energy level.

d-d splitting in octahedral complexes
d-d splitting in octahedral complexes