- Nickel complexes exhibit different magnetic behaviors due to the nature of the ligands and the crystal field splitting that occurs in the metal's d-orbitals. The geometry of the complex can influence whether it is paramagnetic or diamagnetic.
- (A) \( \text{[Ni(CN)}_4]^{2-} \): The complex of Ni²⁺ with cyanide (CN⁻) is a strong field ligand, causing significant crystal field splitting. This leads to the pairing of electrons in the lower-energy orbitals, resulting in a diamagnetic complex.
- (B) \( \text{[Ni(CO)}_4] \): Carbon monoxide (CO) is another strong field ligand that causes a similar effect to CN⁻ and results in electron pairing, making the complex diamagnetic.
- (C) \( \text{[NiCl}_4]^{2-} \): Chloride ions (Cl⁻) are weaker field ligands, and the crystal field splitting is not sufficient to cause electron pairing.
Thus, [NiCl₄]²⁻ remains paramagnetic.
- (D) \( \text{[Ni(NH}_3)_6]^{2+} \): Ammonia (NH₃) is a medium-strength ligand, which can cause some splitting of the d-orbitals but does not cause full electron pairing. [Ni(NH₃)₆]²⁺ is typically paramagnetic.
Therefore, the correct answer is Option (4), where (A) and (D) are correct. Both cyanide and ammonia cause different magnetic behaviors due to the extent of crystal field splitting.