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Match the coordination number and type of hybridisation with the distribution of hybrid orbitals in space based on Valence Bond Theory.

List I (Coordination number and type of hybridisation): (a) 4, sp3sp^{3} (b) 4, dsp2dsp^{2} (c) 5, sp3dsp^{3}d (d) 6, d2sp3d^{2}sp^{3}

List II (Distribution of hybrid orbitals in space): (i) Trigonal bipyramidal (ii) Octahedral (iii) Tetrahedral (iv) Square planar

A

(a)-(ii), (b)-(iii), (c)-(iv), (d)-(i)

B

(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

C

(a)-(iv), (b)-(i), (c)-(ii), (d)-(iii)

D

(a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)

Step-by-Step Solution

According to the Valence Bond Theory (VBT) in coordination chemistry, the geometry of a complex is determined by the hybridisation of the metal atom's orbitals, which is dictated by the coordination number :

  1. Coordination Number 4: Can result in two geometries. sp3sp^{3} hybridisation leads to a tetrahedral distribution ((iii)), while dsp2dsp^{2} hybridisation results in a square planar distribution ((iv)) .
  2. Coordination Number 5: sp3dsp^{3}d hybridisation involves the mixing of one ss, three pp, and one dd orbital, resulting in a trigonal bipyramidal geometry ((i)) .
  3. Coordination Number 6: Both sp3d2sp^{3}d^{2} (outer orbital) and d2sp3d^{2}sp^{3} (inner orbital) hybridisations result in an octahedral distribution of hybrid orbitals ((ii)) .

Matching these pairs: (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii).

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