Step 1: Determining oxidation state and electron count of Ni.
In \(Ni(CO)_4\), CO is a neutral ligand, so Ni is in oxidation state 0 with 10 valence electrons. In \(NiCl_4^{2-}\), each Cl is \(-1\), so Ni is in +2 oxidation state with \(d^8\) configuration.
Step 2: Nature of ligand field in \(Ni(CO)_4\).
CO is a strong field ligand, causing pairing of electrons. Ni(0) adopts \(sp^3\) hybridization with all electrons paired, making it diamagnetic.
Step 3: Nature of \(NiCl_4^{2-}\).
Cl⁻ is a weak field ligand, so it does not cause pairing. The complex is tetrahedral with \(d^8\) configuration having unpaired electrons, hence paramagnetic.
Step 4: Magnetic behavior conclusion.
Thus:
- \(Ni(CO)_4\): diamagnetic
- \(NiCl_4^{2-}\): paramagnetic
Step 5: Final verification.
This matches ligand field theory and observed magnetic behavior of Ni complexes.
Final Answer:
\[
\boxed{\text{I = Diamagnetic, II = Paramagnetic}}
\]