Step 1: Orbital Complex Types. Inner orbital complexes utilize \( d \)-orbitals from the inner shell (e.g., \( 3d \)-orbitals in transition metals), leading to low-spin complexes. Outer orbital complexes use \( d \)-orbitals from the outer shell (e.g., \( 4d \)-orbitals for higher oxidation states), resulting in high-spin complexes.
Step 2: Hybridization of \( [Co(NH_3)_6]^{3+} \). Cobalt in \( +3 \) has a \( 3d^6 \) configuration. The complex \( [Co(NH_3)_6]^{3+} \) employs inner \( 3d \)-orbitals for ligand coordination, exhibiting \( 3d^2sp^3 \) hybridization, characteristic of an inner orbital complex.
Step 3: Hybridization of \( [Ni(NH_3)_6]^{2+} \). Nickel in \( +2 \) has a \( 3d^8 \) configuration. The complex \( [Ni(NH_3)_6]^{2+} \) uses outer \( 4d \)-orbitals for bonding, with \( sp^3d^2 \) hybridization, classifying it as an outer orbital complex. Therefore, \( [Co(NH_3)_6]^{3+} \) is an inner orbital complex, and \( [Ni(NH_3)_6]^{2+} \) is an outer orbital complex.
| List-I (Hybridization) | List-II (Orientation in Space) |
|---|---|
| (A) sp3 | (I) Trigonal bipyramidal |
| (B) dsp2 | (II) Octahedral |
| (C) sp3d | (III) Tetrahedral |
| (D) sp3d2 | (IV) Square planar |