Chemical Bonding: Edge Cases and Subtle Traps (9)

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Question

Explain why BeCl2\text{BeCl}_2 is linear while H2O\text{H}_2\text{O} is bent, even though both have two bonded atoms around the central atom.

Solution — Step by Step

In BeCl2\text{BeCl}_2: Be has 2 valence electrons, both bonded to Cl. Total electron pairs around Be = 2 (both bonding). Lone pairs: 0.

In H2O\text{H}_2\text{O}: O has 6 valence electrons, 2 bonded to H. Total electron pairs around O = 4 (2 bonding + 2 lone pairs).

VSEPR says electron pairs arrange to minimise repulsion. With 2 pairs total, they go to opposite ends — linear, 180°180°. With 4 pairs total, they aim for tetrahedral geometry, 109.5°109.5°.

BeCl2\text{BeCl}_2: 2 bonding pairs, 0 lone pairs → linear (Cl–Be–Cl at 180°180°).

H2O\text{H}_2\text{O}: 2 bonding pairs, 2 lone pairs → bent (the two O–H bonds at about 104.5°104.5°, slightly less than tetrahedral because lone-pair-lone-pair repulsion compresses the bond angle).

Final answer: BeCl2\text{BeCl}_2 is linear because it has no lone pairs; H2O\text{H}_2\text{O} is bent because of two lone pairs on oxygen.

Why This Works

VSEPR (Valence Shell Electron Pair Repulsion) classifies geometries by the total number of electron pairs around the central atom, but the molecular shape is determined by the position of the bonded atoms only. Lone pairs occupy space and push the bonds together but don’t appear in the geometric description.

Lone pair vs lone pair > lone pair vs bond pair > bond pair vs bond pair, in repulsion strength. That’s why bond angles in H2O\text{H}_2\text{O} (104.5°104.5°) are smaller than in NH3\text{NH}_3 (107°107°), which are smaller than in CH4\text{CH}_4 (109.5°109.5°).

Alternative Method

Think in terms of hybridisation: Be in BeCl2\text{BeCl}_2 uses spsp hybridisation (linear). O in H2O\text{H}_2\text{O} uses sp3sp^3 hybridisation; two of the four hybrid orbitals hold lone pairs, two hold bonds — tetrahedral arrangement of orbitals, bent arrangement of nuclei.

A trap: students assume “two bonds = linear.” Wrong. The total electron geometry (bonds + lone pairs) decides the angles; the molecular shape names only the atom positions.

Common Mistake

Calling H2O\text{H}_2\text{O} “tetrahedral” because there are 4 electron pairs around oxygen. The electron-pair geometry is tetrahedral, but the molecular shape is bent (or “angular”). Always specify which one the question is asking about.

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