Identify the homoleptic complex(es) that is/are low spin.
Show Hint
For complexes with transition metals, the crystal field splitting is influenced by both the oxidation state and the nature of the ligand. Strong field ligands (like \( \text{CN}^- \)) cause low-spin complexes, while weak field ligands (like \( \text{F}^- \) and \( \text{H}_2\text{O} \)) tend to lead to high-spin complexes.
In general, low-spin complexes are formed by transition metals with higher oxidation states and/or ligands that create strong crystal field splitting (such as \( \text{CN}^- \)). Based on this:
- \( [\text{Fe(CN)}_5\text{NO}]^{2-} \) and \( [\text{Fe(CN)}_6]^{4-} \) are low-spin because \( \text{CN}^- \) is a strong field ligand.
- \( [\text{CoF}_6]^{3-} \) and \( [\text{Cr(H}_2\text{O})_6]^{2+} \) are high-spin due to weaker ligands or lower oxidation states.
Thus, the correct complexes that are low-spin are \( \text{Fe(CN)}_5\text{NO}^{2-} \) and \( \text{Fe(CN)}_6^{4-} \).