Step 1: Understanding the Concept:
Crystal Field Splitting Energy (\(\Delta_0\)) depends on the strength of the ligand according to the Spectrochemical Series.
Stronger ligands cause greater splitting of d-orbitals, resulting in a higher \(\Delta_0\) value. Step 2: Key Formula or Approach:
The relative strength of common ligands is:
\(CN^->en>H_2O>F^-\). Step 3: Detailed Explanation:
All complexes contain \(Cr^{3+}\) (\(d^3\)), so the only variable is the ligand.
- \(CN^-\) is a strong field ligand (highest in this list). It will have the maximum \(\Delta_0\).
Match: A \(\rightarrow\) IV (26,600).
- \(F^-\) is a weak field ligand (lowest in this list). It will have the minimum \(\Delta_0\).
Match: B \(\rightarrow\) I (15,060).
- \(en\) (ethylenediamine) is a stronger ligand than \(H_2O\).
Match: D \(\rightarrow\) III (22,300).
- \(H_2O\) is a medium strength ligand.
Match: C \(\rightarrow\) II (17,400).
The final match is: A-IV, B-I, C-II, D-III. Step 4: Final Answer:
The correct match is A-IV, B-I, C-II, D-III.
