NVAMediumJEE 2023Crystal Field Theory

JEE Chemistry 2023 Question with Solution

The number of paramagnetic species from the following is _____. [Ni(CN)4]2,[Ni(CO)4],[NiCl4]2,[Fe(CN)6]3,[Cu(NH3)4]2+,[Fe(H2O)6]2+[Ni(CN)_4]^{2-}, [Ni(CO)_4], [NiCl_4]^{2-}, [Fe(CN)_6]^{3-}, [Cu(NH_3)_4]^{2+}, [Fe(H_2O)_6]^{2+}

Answer

Correct answer:4

Step-by-step solution

Standard Method

Given: The species are

[Ni(CN)4]2,[Ni(CO)4],[NiCl4]2,[Fe(CN)6]3,[Cu(NH3)4]2+,[Fe(H2O)6]2+[Ni(CN)_4]^{2-}, [Ni(CO)_4], [NiCl_4]^{2-}, [Fe(CN)_6]^{3-}, [Cu(NH_3)_4]^{2+}, [Fe(H_2O)_6]^{2+}

Find: The number of paramagnetic species.

  1. Determine the electronic configuration and geometry for each species.
[Ni(CN)4]2:Ni2+(3d8)[Ni(CN)_4]^{2-} : Ni^{2+} \, (3d^8)

In a strong field ligand, it forms a square planar complex. No unpaired electrons, so it is diamagnetic.

[Ni(CO)4]:Ni0(3d84s2)[Ni(CO)_4] : Ni^{0} \, (3d^8 4s^2)

In a strong field ligand, it forms a tetrahedral complex. No unpaired electrons, so it is diamagnetic.

[NiCl4]2:Ni2+(3d8)[NiCl_4]^{2-} : Ni^{2+} \, (3d^8)

In a weak field ligand, it forms a tetrahedral complex. It has 2 unpaired electrons, so it is paramagnetic.

[Fe(CN)6]3:Fe3+(3d5)[Fe(CN)_6]^{3-} : Fe^{3+} \, (3d^5)

In a strong field ligand, it forms a low-spin octahedral complex. It has 1 unpaired electron, so it is paramagnetic.

[Cu(NH3)4]2+:Cu2+(3d9)[Cu(NH_3)_4]^{2+} : Cu^{2+} \, (3d^9)

It has 1 unpaired electron, so it is paramagnetic.

[Fe(H2O)6]2+:Fe2+(3d6)[Fe(H_2O)_6]^{2+} : Fe^{2+} \, (3d^6)

In a weak field ligand, it forms a high-spin octahedral complex. It has 4 unpaired electrons, so it is paramagnetic.

  1. Count the paramagnetic species.

Paramagnetic species are

[NiCl4]2,[Fe(CN)6]3,[Cu(NH3)4]2+,[Fe(H2O)6]2+[NiCl_4]^{2-}, [Fe(CN)_6]^{3-}, [Cu(NH_3)_4]^{2+}, [Fe(H_2O)_6]^{2+}

Therefore, the number of paramagnetic species is 44.

Classification by ligand strength

Given: A set of coordination compounds with different ligands. Find: Which of them contain unpaired electrons.

Use the idea that strong field ligands such as CNCN^- and COCO tend to pair electrons, while weak field ligands such as ClCl^- and H2OH_2O often give high-spin configurations.

  • [Ni(CN)4]2[Ni(CN)_4]^{2-} is square planar and diamagnetic.
  • [Ni(CO)4][Ni(CO)_4] is diamagnetic.
  • [NiCl4]2[NiCl_4]^{2-} is tetrahedral and paramagnetic.
  • [Fe(CN)6]3[Fe(CN)_6]^{3-} is low spin but still has one unpaired electron, so it is paramagnetic.
  • [Cu(NH3)4]2+[Cu(NH_3)_4]^{2+} has a 3d93d^9 configuration, so one electron remains unpaired.
  • [Fe(H2O)6]2+[Fe(H_2O)_6]^{2+} is high spin and paramagnetic.

Thus, there are 44 paramagnetic species.

Common mistakes

  • Assuming every complex with a transition metal is paramagnetic is incorrect because ligand field strength can pair electrons. First determine the oxidation state and then check whether the ligand is strong field or weak field.

  • Treating [Ni(CN)4]2[Ni(CN)_4]^{2-} and [NiCl4]2[NiCl_4]^{2-} the same is wrong because CNCN^- is a strong field ligand while ClCl^- is a weak field ligand. This changes the geometry and the number of unpaired electrons.

  • Forgetting that [Fe(CN)6]3[Fe(CN)_6]^{3-} is low spin but still paramagnetic is a common error. Low spin does not always mean diamagnetic; here Fe3+Fe^{3+} is d5d^5 and one unpaired electron remains.

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