Chemical Bonding: Speed-Solving Techniques (10)

easy 2 min read

Question

Predict the geometry, hybridisation, and bond angle of XeF4\text{XeF}_4 using VSEPR theory.

Solution — Step by Step

Xe has 8 valence electrons. Each F contributes 1 electron to the bond (we count Xe’s contribution to the four bond pairs).

Total around Xe = 8 (Xe valence). Of these, 4 are used in Xe-F\text{Xe-F} bonds, leaving 84=48 - 4 = 4 electrons = 2 lone pairs.

Total electron domains around Xe = 4 bond pairs + 2 lone pairs = 6 domains.

6 domains arrange octahedrally. With 2 lone pairs, they sit on opposite (axial) positions to minimise lone-pair repulsion.

The 4 F atoms occupy the equatorial plane → square planar geometry.

Bond angle: 90°90° (between adjacent F atoms in the square).

Hybridisation: 6 domains = sp3d2sp^3d^2.

Final answer: Square planar, sp3d2sp^3d^2 hybridisation, 90°90° bond angles

Why This Works

VSEPR’s central insight: electron pairs (bond and lone) repel each other and arrange to maximise their separation. Lone pairs occupy more space than bond pairs, so we always check whether their placement minimises lone-lone repulsion.

For 6 domains, the two lone pairs go opposite each other (180°) — this is the only arrangement that puts them at maximum distance. The remaining 4 bond pairs form a square in the equatorial plane.

Alternative Method

Use the AXE notation: XeF4\text{XeF}_4 is AX4E2AX_4E_2. Look up the geometry table:

  • AX4E2AX_4E_2 → square planar
  • 6 domains → sp3d2sp^3d^2

Memorising the table speeds up routine VSEPR questions.

Common Mistake

Students confuse XeF4\text{XeF}_4 (square planar, 6 domains) with CH4\text{CH}_4 (tetrahedral, 4 domains). Both have 4 bonds, but the lone pairs change everything. Always count total electron domains (bonds + lone pairs), not just bonds.

Quick formula: total domains =valence electrons of central atom + monovalent atoms attached - charge2= \dfrac{\text{valence electrons of central atom + monovalent atoms attached - charge}}{2}.

For XeF4\text{XeF}_4: (8+40)/2=6(8 + 4 - 0)/2 = 6 domains. Matches.

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