Step 1: Understanding Inner Orbital Complexes
Inner orbital complexes involve the use of (n-1)d orbitals of the central metal ion for hybridization, typically resulting in low-spin complexes. These complexes often form when ligands cause pairing of electrons in the d-orbitals, allowing hybridization that includes d-orbitals from the inner shell.
Step 2: Analyzing the Complexes
In coordination chemistry, complexes like ${[Ni(CN)_4]}^{2-}$ and ${[Fe(CN)_6]}^{4-}$ usually form inner orbital complexes because strong field ligands such as CN⁻ cause pairing of electrons, allowing d²sp³ or dsp² hybridization involving inner d orbitals.
Step 3: Nature of ${[Ni(CO)_4]}$
${[Ni(CO)_4]}$ is a classic example of an outer orbital complex. The ligand CO is a strong field ligand but in this case, nickel uses its valence 4s and 4p orbitals (not the inner 3d orbitals) for hybridization, leading to an sp³ hybridization. The complex is tetrahedral and high-spin, and does not involve inner d orbitals.
Step 4: Conclusion
Therefore, among the given complexes, ${[Ni(CO)_4]}$ is not an inner orbital complex because it uses outer orbitals (4s and 4p) for bonding, unlike other complexes which use inner (n-1)d orbitals.