NVAEasyJEE 2026Crystal Field Theory

JEE Chemistry 2026 Question with Solution

Total number of unpaired electrons present in the central metal atoms/ions of [Ni(CO)4][Ni(CO)_4], [NiCl4]2[NiCl_4]^{2-}, [PtCl2(NH3)2][PtCl_2(NH_3)_2], [Ni(CN)4]2[Ni(CN)_4]^{2-} and [Pt(CN)4]2[Pt(CN)_4]^{2-} is _____.

Answer

Correct answer:2

Step-by-step solution

Standard Method

Given: The complexes are [Ni(CO)4][Ni(CO)_4], [NiCl4]2[NiCl_4]^{2-}, [PtCl2(NH3)2][PtCl_2(NH_3)_2], [Ni(CN)4]2[Ni(CN)_4]^{2-} and [Pt(CN)4]2[Pt(CN)_4]^{2-}.

Find: The total number of unpaired electrons present in the central metal atoms/ions.

Use the idea that d8d^8 complexes show 2 unpaired electrons in tetrahedral geometry and 0 unpaired electrons in square planar geometry.

For [Ni(CO)4][Ni(CO)_4]:

Oxidation state of Ni=0\text{Oxidation state of Ni} = 0 d10d^{10}

CO is a strong field ligand, so all electrons are paired.

Unpaired electrons=0\text{Unpaired electrons} = 0

For [NiCl4]2[NiCl_4]^{2-}:

Oxidation state of Ni=+2\text{Oxidation state of Ni} = +2 d8d^8

ClCl^- is a weak field ligand, so the complex is tetrahedral and high spin.

Unpaired electrons=2\text{Unpaired electrons} = 2

For [PtCl2(NH3)2][PtCl_2(NH_3)_2]:

Oxidation state of Pt=+2\text{Oxidation state of Pt} = +2 d8d^8

The complex is square planar and low spin.

Unpaired electrons=0\text{Unpaired electrons} = 0

For [Ni(CN)4]2[Ni(CN)_4]^{2-}:

Oxidation state of Ni=+2\text{Oxidation state of Ni} = +2 d8d^8

CNCN^- is a strong field ligand, so the complex is square planar and low spin.

Unpaired electrons=0\text{Unpaired electrons} = 0

For [Pt(CN)4]2[Pt(CN)_4]^{2-}:

Oxidation state of Pt=+2\text{Oxidation state of Pt} = +2 d8d^8

The complex is square planar and low spin.

Unpaired electrons=0\text{Unpaired electrons} = 0

Therefore,

Total unpaired electrons=0+2+0+0+0=2\text{Total unpaired electrons} = 0 + 2 + 0 + 0 + 0 = 2

So, the total number of unpaired electrons is 22.

Count Geometry-Wise

Given: Five coordination compounds containing central metals Ni or Pt.

Find: The sum of unpaired electrons over all the central metal atoms/ions.

  1. Identify the metal oxidation state and corresponding dd-electron count.
  2. Use ligand strength to decide whether the d8d^8 complex is tetrahedral or square planar.
  3. Assign unpaired electrons accordingly.

Only [NiCl4]2[NiCl_4]^{2-} is tetrahedral among the listed d8d^8 complexes, so it contributes 22 unpaired electrons. All the remaining complexes are either d10d^{10} or square planar low-spin d8d^8, so they contribute 00.

Hence the total is 22.

Common mistakes

  • Assuming every d8d^8 complex has the same number of unpaired electrons is incorrect, because geometry matters. A d8d^8 tetrahedral complex can have 2 unpaired electrons, whereas a d8d^8 square planar complex has 0. First identify the geometry, then count electrons.

  • Ignoring ligand strength leads to the wrong geometry for nickel complexes. ClCl^- is a weak field ligand, so [NiCl4]2[NiCl_4]^{2-} is tetrahedral, while CNCN^- is a strong field ligand, so [Ni(CN)4]2[Ni(CN)_4]^{2-} is square planar. Use ligand field strength before deciding spin state.

  • Treating [Ni(CO)4][Ni(CO)_4] as a d8d^8 complex is wrong. Nickel is in oxidation state 00 here, so the configuration is d10d^{10} and all electrons are paired. Always calculate oxidation state before assigning the dd count.

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