Chemical Bonding: Exam-Pattern Drill (8)

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Question

Predict the shape and bond angle of XeF4\text{XeF}_4 using VSEPR theory. Also state the hybridisation of the central atom.

Solution — Step by Step

Xenon has 88 valence electrons. Each F contributes 11 electron to the bond pair, so 4 bond pairs use 44 electrons. Remaining: 84=48 - 4 = 4 electrons = 22 lone pairs.

Total electron domains around Xe: 44 bond pairs + 22 lone pairs = 66.

Steric number 66 means octahedral electron geometry. With 22 lone pairs, they occupy opposite (axial) positions to minimise repulsion. The 4 F atoms sit in the equatorial plane.

Molecular shape: square planar. Bond angle: 9090^\circ (F-Xe-F).

Hybridisation: sp3d2sp^3d^2 (matches steric number 6).

Final answer: Square planar, 9090^\circ, sp3d2sp^3d^2.

Why This Works

VSEPR theory says lone pairs and bond pairs around a central atom arrange themselves to minimise repulsion. For 6 domains, octahedral arrangement is optimal. Lone pairs go opposite to each other (rather than adjacent) because that maximises lone-pair-lone-pair distance.

The hybridisation labels the orbital scheme that matches the geometry. Six domains require six equivalent hybrid orbitals, which only sp3d2sp^3d^2 provides.

Alternative Method

Use molecular orbital theory or the Bent’s rule analysis. Both give the same shape but require more setup. For NEET/JEE Main, VSEPR is the fastest route.

NEET asks about XeF4\text{XeF}_4, XeF2\text{XeF}_2, and XeF6\text{XeF}_6 shapes almost every year. Memorise: XeF2\text{XeF}_2 linear (sp3dsp^3d), XeF4\text{XeF}_4 square planar (sp3d2sp^3d^2), XeF6\text{XeF}_6 distorted octahedral (sp3d3sp^3d^3).

Common Mistake

Saying XeF4\text{XeF}_4 is tetrahedral. That would be true if Xe had no lone pairs. With 2 lone pairs in axial positions, the four F atoms form a square plane — not a tetrahedron.

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