- Facial isomerism occurs when three identical ligands are arranged in a facial position, i.e., forming a 90° angle on the same side of the coordination sphere.
- Meridional isomerism occurs when three identical ligands are arranged in a meridional position, i.e., occupying positions around the coordination sphere forming an angle of 180°.
- Option (A): The compound \([Co(H_2O)_3(NO_3)_3]\) exhibits both Facial and Meridional isomerism. The water and nitrate ions can be arranged in these two distinct geometries, leading to different isomers.
- Option (B): The complex \([Co(en)_3Cl]^+\) does not show Facial and Meridional isomerism. It exhibits optical isomerism, as the ligands are chiral but there is no room for facial and meridional arrangements.
- Option (C): The complex \([Co(NH_3)_4]Br_2NO_3\) does not exhibit facial and meridional isomerism. The geometry does not allow such isomerism due to the arrangement of ligands.
- Option (D): Similarly, \([Co(en)_3]Cl_3\) is a coordination complex where the ligands are arranged symmetrically, but it does not exhibit facial or meridional isomerism.