Chemical Bonding: Tricky Questions Solved (5)

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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 (it shares one). Total around Xe: 8+4=128 + 4 = 12 electrons, or 66 electron pairs.

Of the 66 pairs around Xe: 44 are bond pairs (with the four F atoms) and 22 are lone pairs.

The arrangement of 66 electron pairs is octahedral. Two lone pairs occupy axial positions to minimise repulsion (since axial-axial repulsion at 180°180° is less than equatorial-equatorial). The remaining four bond pairs go to the four equatorial corners.

  • Geometry (only counting atoms, not lone pairs): square planar
  • Hybridisation: sp3d2sp^3 d^2
  • Bond angle (F-Xe-F): 90°90°

Final answer: Square planar, sp3d2sp^3 d^2, 90°90°.

Why This Works

VSEPR ranks lone pairs as occupying more space than bond pairs (lone pairs are held by only one nucleus, so they spread out more). With six electron pairs, the parent geometry is octahedral. Lone pairs in trans positions cancel each other’s repulsion, leaving a flat square of fluorines.

The hybridisation sp3d2sp^3 d^2 accommodates six electron domains. Both Xe and the F atoms contribute to the bonding orbitals.

Alternative Method

Draw the Lewis structure first: Xe in centre, 4 F single bonds, 2 lone pairs on Xe. Count electron domains (4 + 2 = 6). Apply VSEPR. Same result, but Lewis-first is clearer for students new to VSEPR.

Memorise the lone-pair pattern for octahedral systems: AB5_5E gives square pyramidal, AB4_4E2_2 gives square planar, AB3_3E3_3 gives T-shape. JEE asks about XeF4_4 and BrF3_3 almost every year.

Common Mistake

Students often say XeF4_4 is tetrahedral (confusing it with sp3sp^3). The presence of two lone pairs forces square planar geometry, NOT tetrahedral. The hybridisation sp3d2sp^3 d^2 involves six orbitals, including two from the d-shell.

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