Co Ordination Compounds Question 100

Question: Nickel (Z=28) combines with a uninegative monodentate ligand to form a diamagnetic complex $ {{[NiL_4]}^{2-}} $ . The hybridisation involved and the number of unpaired electrons present in the complex are respectively:

Options:

A) $ sp^{3} $ , two

B) $ dsp^{2} $ , zero

C) $ dsp^{2} $ , one

D) $ sp^{3} $ , zero

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Answer:

Correct Answer: B

Solution:

  1. First, let’s consider the oxidation state of Ni in the complex:

    • The complex has a 2- charge overall
    • There are four uninegative ligands (L-)
    • So, the oxidation state of Ni must be +2 to balance the charge
  2. Ni(II) has an electron configuration of [Ar] $3d^8$

  3. The complex is diamagnetic, which means all electrons are paired. This is a crucial piece of information.

  4. For all electrons to be paired in a $d^8$ system, we need a strong-field ligand situation, which results in a low-spin complex.

  5. In a low-spin $d^8$ complex, all 8 d electrons will pair up in the lower energy d orbitals.

  6. The complex has a coordination number of 4 (four ligands).

  7. For a coordination number of 4, there are two possible geometries:

    • Tetrahedral ($sp^3$ hybridization)
    • Square planar ($dsp^2$ hybridization)
  8. Tetrahedral complexes are typically high-spin, while square planar complexes are typically low-spin.

  9. Given that this is a low-spin complex (as it’s diamagnetic), it must be square planar.

  10. Square planar geometry involves $dsp^2$ hybridization.

  11. In $dsp^2$ hybridization, all electrons are paired, resulting in zero unpaired electrons.

Therefore, the correct answer is:

B) $dsp^2$, zero

The complex has $dsp^2$ hybridization and zero unpaired electrons.