Step 1: Introduction to CFT
Crystal Field Theory (CFT) explains the splitting of d-orbitals in transition metal complexes due to ligand interaction.
Step 2: Octahedral Splitting
In an octahedral field, d-orbitals split into two energy levels:
- \( t_{2g} \) (lower energy): \( d_{xy}, d_{yz}, d_{zx} \)
- \( e_g \) (higher energy): \( d_{z^2}, d_{x^2-y^2} \)
\[
\Delta_o = \text{energy gap between these levels}
\]
Step 3: High-Spin vs Low-Spin Complexes
- Weak-field ligands (Cl\(^-\), H\(_2\)O) → High-spin, small \(\Delta_o\)
- Strong-field ligands (CN\(^-\), CO) → Low-spin, large \(\Delta_o\)