In crystal field theory, is the energy splitting between and orbitals in an octahedral complex, and is the splitting between and orbitals in a tetrahedral complex.
Step 1: Relationship between and For the same metal, ligands, and metal-ligand distances, the crystal field splitting in tetrahedral complexes is weaker than in octahedral complexes due to geometric differences. The standard relation is: Rearrange:
Step 2: Analyze options
- (A) : Matches the standard relation.
- (B) : Incorrect ( ).
- (C) : Incorrect ( , inverse of correct relation).
- (D) : Incorrect ( ).
Step 3: Conclusion
Option (A) is correct based on the standard relation, but since the questionβs options may contain a typo, we select (A) as the closest match.