MCQEasyJEE 2025Crystal Field Theory

JEE Chemistry 2025 Question with Solution

From the magnetic behaviour of [NiCl4]2[NiCl_4]^{2-} (paramagnetic) and [Ni(CO)4][Ni(CO)_4] (diamagnetic), choose the correct geometry and oxidation state.

  • A

    [NiCl4]2[NiCl_4]^{2-} : Ni2+Ni^{2+}, square planar [Ni(CO)4][Ni(CO)_4] : Ni(0)Ni(0), square planar

  • B

    [NiCl4]2[NiCl_4]^{2-} : Ni2+Ni^{2+}, tetrahedral [Ni(CO)4][Ni(CO)_4] : Ni(0)Ni(0), tetrahedral

  • C

    [NiCl4]2[NiCl_4]^{2-} : Ni2+Ni^{2+}, tetrahedral [Ni(CO)4][Ni(CO)_4] : Ni2+Ni^{2+}, square planar

  • D

    [NiCl4]2[NiCl_4]^{2-} : Ni(0)Ni(0), tetrahedral [Ni(CO)4][Ni(CO)_4] : Ni(0)Ni(0), square planar

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: The magnetic behaviour of [NiCl4]2[NiCl_4]^{2-} is paramagnetic and that of [Ni(CO)4][Ni(CO)_4] is diamagnetic.

Find: The correct oxidation state and geometry of both complexes.

For [NiCl4]2[NiCl_4]^{2-}, nickel is in the +2+2 oxidation state. Chloride, ClCl^-, is a weak field ligand, so it does not pair the dd-electrons. Hence the complex remains high spin with unpaired electrons and is paramagnetic. This is consistent with tetrahedral geometry.

For [Ni(CO)4][Ni(CO)_4], nickel is in the 00 oxidation state. Carbon monoxide, COCO, is a strong field ligand, leading to electron pairing. The complex becomes diamagnetic. The hybridization is sp3sp^3, so the geometry is tetrahedral.

Therefore, [NiCl4]2[NiCl_4]^{2-} is Ni2+Ni^{2+}, tetrahedral and [Ni(CO)4][Ni(CO)_4] is Ni(0)Ni(0), tetrahedral. The correct option is B.

Magnetic Behaviour Based Reasoning

Given: [NiCl4]2[NiCl_4]^{2-} is paramagnetic and [Ni(CO)4][Ni(CO)_4] is diamagnetic.

Find: Match each complex with its oxidation state and geometry.

1. Analyze [NiCl4]2[NiCl_4]^{2-}

The oxidation state of nickel is obtained as:

x+4(1)=2 x + 4(-1) = -2 x=+2 x = +2

So nickel is Ni2+Ni^{2+}.

Since ClCl^- is a weak field ligand, it does not force pairing of electrons. Therefore, the complex has unpaired electrons and is paramagnetic. For four-coordinate Ni2+Ni^{2+} with weak field ligands, the geometry is tetrahedral.

2. Analyze [Ni(CO)4][Ni(CO)_4]

Carbon monoxide is a neutral ligand, so the oxidation state of nickel is:

x+4(0)=0 x + 4(0) = 0 x=0 x = 0

Thus nickel is Ni(0)Ni(0).

Because COCO is a strong field ligand, electrons pair up and the complex becomes diamagnetic. The complex uses sp3sp^3 hybridization and therefore has tetrahedral geometry.

Conclusion:

  • [NiCl4]2[NiCl_4]^{2-} : Ni2+Ni^{2+}, tetrahedral
  • [Ni(CO)4][Ni(CO)_4] : Ni(0)Ni(0), tetrahedral

Hence, the correct option is B.

Common mistakes

  • Assuming that every diamagnetic four-coordinate complex must be square planar is incorrect. In this case, [Ni(CO)4][Ni(CO)_4] is diamagnetic yet tetrahedral because it is a Ni(0)Ni(0) complex with sp3sp^3 hybridization.

  • Ignoring ligand strength leads to the wrong geometry for [NiCl4]2[NiCl_4]^{2-}. Since ClCl^- is a weak field ligand, electron pairing does not occur; use ligand field strength before deciding square planar or tetrahedral geometry.

  • Calculating the oxidation state of nickel incorrectly can eliminate the right option. Always use ligand charges carefully: ClCl^- contributes 1-1 each, while COCO is neutral.

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