To determine which ligand causes the maximum crystal field splitting, we need to understand the concept of crystal field theory and its implications on ligand strength.
Crystal Field Splitting: In coordination chemistry, the approach of crystal field theory helps us understand the electronic environment in transition metal complexes. The ligands that are bonded to the central metal ion affect the distribution of metal d-orbitals, resulting in a split in energy levels. The extent of this energy split is known as crystal field splitting.
Crystal Field Splitting Energy (\( \Delta \)): The value of \( \Delta \) depends on two main factors:
Ligand Strength: Ligands can be arranged in a series known as the "Spectrochemical Series" based on their ability to split d-orbitals:
| Ligands | Increasing Crystal Field Splitting (\( \Delta \)) |
|---|---|
| I-, Br-, S2- | Weak Field |
| Cl-, F-, OH- | |
| H2O | Intermediate Field |
| NH3, en (ethylenediamine) | Strong Field |
| CN-, CO |
From the spectrochemical series, it's evident that \(CN^-\) (cyanide ion) is a strong field ligand, causing maximum crystal field splitting when compared to \( F^- \), \( H_2O \), and \( NH_3 \). This is due to its ability to engage in strong \(\pi\)-backbonding, leading to a larger separation between the d-orbitals.
Conclusion: The ligand \( CN^- \) causes the maximum crystal field splitting among the given options.