VSEPR Theory: Molecular Shapes, AXE Notation & Geometry
Lewis structures tell you who holds electrons; VSEPR tells you where they stand. Count the pairs around a central atom, let them spread as far apart as repulsion allows, and three letters — A, X, E — predict every shape from linear to octahedral, bond angles included.
What is VSEPR Theory? — Complete Theory
Lewis structures (§ 4.1) fixed how many electrons an atom shares; VSEPR (Sidgwick–Powell 1940, refined by Nyholm and Gillespie 1957) answers where in space they sit. Its logic is brutally simple: electron pairs around a central atom are all negatively charged, repel one another, and therefore adopt the arrangement that maximises their mutual separation. Molecular shape is a consequence of crowd control.
Postulates. (1) The shape depends on the total number of valence-shell electron pairs — bonding and lone — around the central atom. (2) Pairs arrange to minimise repulsion and maximise distance. (3) Crucially, the pairs are not equal citizens: a lone pair is held by one nucleus only, spreads wider, and repels harder. The repulsion hierarchy: lp–lp > lp–bp > bp–bp. (4) A multiple bond counts as one super electron-pair for geometry — a double bond occupies one direction, but its extra electron density pushes neighbours a little further.
lp–lp > lp–bp > bp–bp
Countbond pairs (X) + lone pairs (E)
Multiple bond= one super pair
The AXE notation — three letters that name every molecule. A = central atom; Xn = number of atoms bonded to it; Em = number of lone pairs on it. CH₄ is AX₄, NH₃ is AX₃E, H₂O is AX₂E₂. The sum n + m — the steric number — fixes the electron-pair geometry; the lone pairs then decide how much of that geometry survives into the visible molecular shape. Seven steric numbers, seven geometries:
| AXE | Steric no. | Electron-pair geometry | Shape | Bond angle | Example |
|---|---|---|---|---|---|
| AX₂ | 2 | Linear | Linear | 180° | BeCl₂, CO₂ |
| AX₃ | 3 | Trigonal planar | Trigonal planar | 120° | BF₃ |
| AX₂E | 3 | Trigonal planar | Bent (V-shape) | < 120° (SO₂ 119.5°) | SO₂, O₃ |
| AX₄ | 4 | Tetrahedral | Tetrahedral | 109.5° | CH₄ |
| AX₃E | 4 | Tetrahedral | Trigonal pyramidal | 107° | NH₃ |
| AX₂E₂ | 4 | Tetrahedral | Bent | 104.5° | H₂O |
| AX₅ | 5 | Trigonal bipyramidal | Trigonal bipyramidal | 120°, 90° | PCl₅ |
| AX₄E | 5 | TBP | See-saw | distorted | SF₄ |
| AX₃E₂ | 5 | TBP | T-shaped | ≈ 90° | ClF₃ |
| AX₂E₃ | 5 | TBP | Linear | 180° | XeF₂, I₃⁻ |
| AX₆ | 6 | Octahedral | Octahedral | 90° | SF₆ |
| AX₅E | 6 | Octahedral | Square pyramidal | ≈ 90° | BrF₅, IF₅ |
| AX₄E₂ | 6 | Octahedral | Square planar | 90° | XeF₄ |
Where lone pairs sit in a trigonal bipyramid — the positioning rule. In an AX₅ TBP the five positions split into 3 equatorial (120° apart, two neighbours each) and 2 axial (90° to three neighbours each). Lone pairs, being the greediest repellers, claim equatorial seats first — fewer close neighbours means less lp–bp suffering. That single rule generates SF₄’s see-saw (one equatorial lone pair), ClF₃’s T-shape (two equatorial), and XeF₂’s linear (three equatorial positions filled — the two axial X–F bonds survive 180° apart). In an octahedron all six positions are equivalent, so lone pairs simply go trans (opposite) to each other — XeF₄’s square planar.
Angle deviations — the ladder. Perfect geometries carry perfect angles only when all pairs are identical. Each lone pair squeezes the remaining bond-pair angles: CH₄ (no lone pairs) 109.5° → NH₃ (one) 107° → H₂O (two) 104.5°. The same logic bends SO₂ (AX₂E) just below 120°, distorts SF₄’s angles, and explains why water’s H–O–H is the most squeezed tetrahedron in the syllabus. The builder below draws each class and states its deviation reason.
Visualising the Shapes & Predicting Any Molecule
Ek gallery, ek predictor — the four canonical tetrahedral-family shapes first, then any AXE class on demand.
Molecular Shape Predictor
Dashed red lobes = lone pairs; solid lines = bonds. Angle values are idealised — real deviations follow the lp–lp > lp–bp > bp–bp order. TBP classes show the equatorial lone-pair rule in action.
Solved Examples (Step-by-Step)
Lewis → count → AXE → shape. Jo chain yahan chalti hai, wahi predictor me live chalti hai.
The full address of ammonia
Predict the shape of NH₃ using VSEPR: count the pairs, assign the AXE class, and state the geometry, shape and bond angle with the reason for deviation.
- LewisN (5 valence e⁻) bonds 3 H → 3 bond pairs, 1 lone pair left on N.
- AXE
AX₃E— steric number 4. - Geometry/shapeElectron pairs: tetrahedral; shape (atoms only): trigonal pyramidal.
- AngleOne lp–bp squeeze →
109.5° → 107°(verify on the predictor).
AX₃E · tetrahedral geometry · trigonal pyramidal · 107°
XeF₂: three lone pairs, and yet linear
XeF₂ has five electron pairs around xenon. Predict its shape, explaining where the three lone pairs sit and why.
- CountXe: 8 valence e⁻ → 2 bond pairs (2 Xe–F) + 3 lone pairs →
AX₂E₃, steric 5. - PositioningTBP: lone pairs take equatorial seats (only two 90° neighbours each vs axial’s three) → all three equatorials are lp.
- ShapeThe two F atoms survive on the axial positions — linear, 180°.
- Why not bentAny axial lp would suffer three 90° lp–bp repulsions — the equatorial choice minimises them.
AX₂E₃ · equatorial lone pairs · linear 180°
CH₄, NH₃, H₂O — one geometry, three angles
All three molecules have four electron pairs around the central atom. Arrange them in decreasing bond angle and justify with the repulsion order.
- ClassesCH₄ = AX₄ (0 lp) · NH₃ = AX₃E (1 lp) · H₂O = AX₂E₂ (2 lp).
- Repulsion countEach lp adds stronger lp–bp repulsion → angles compress stepwise:
109.5° → 107° → 104.5°. - Order
CH₄ > NH₃ > H₂O— the repulsion order lp–lp > lp–bp > bp–bp made measurable. - Exam formThe same question returns as “why is HOH angle less than HNH?” — answer with the repulsion hierarchy, never with electronegativity alone.
CH₄ (109.5°) > NH₃ (107°) > H₂O (104.5°)
Practice Questions (With Solutions)
Attempt first — options lock after one shot, exactly like the real exam. Then read the working, chahe galti ho ya na ho.
Attempted 0/4 · Correct 0
The shape of SF₄ is:
Solution
- S: 6 valence e⁻ → 4 S–F bonds + 1 lone pair → AX₄E, steric 5 → TBP electron geometry.
- The lone pair takes an equatorial seat → four F atoms form a see-saw.
- Option B names the electron geometry, not the shape — the § 4.4 split in action.
(C) See-saw
The correct decreasing order of bond angle is:
Solution
- 0 lp → 1 lp → 2 lp: each lone pair adds stronger lp–bp repulsion and compresses the angle.
- 109.5° > 107° > 104.5°. Options with H₂O first invert the repulsion logic.
(B) CH₄ > NH₃ > H₂O
The shape of the ammonium ion NH₄⁺ is:
Solution
- In NH₄⁺, N donates its lone pair to H⁺ (a dative bond) — the pair becomes a bond pair.
- Now AX₄, four identical bond pairs, zero lone pairs → perfect tetrahedral, 109.5° — the angle springs back from NH₃’s 107°.
(B) Tetrahedral
CO₂ is linear while SO₂ is bent. The correct explanation is:
Solution
- C: AX₂ → linear 180°; AX₂E → trigonal-planar geometry with one invisible lp → bent ≈ 119.5°.
- Strength, size and bond type never decide VSEPR shape — the lone-pair count does.
(C) Lone pair on S
Key Rules & Takeaways
Eight lines that solve this topic
Anchor shapes: BeCl₂/CO₂ linear 180° · BF₃ 120° · CH₄ 109.5° · PCl₅ TBP 120°/90° · SF₆ octahedral 90° · Deviations: SO₂ 119.5° · NH₃ 107° · H₂O 104.5°
- Count pairs, then let them flee each other — every shape in the table is minimal-repulsion arithmetic, no memorisation needed beyond the seven geometries.
- Geometry and shape are different questions — pairs vs atoms; NH₃’s tetrahedral geometry hiding a pyramidal shape is the most-tested distinction.
- Lone pairs have seating preferences — equatorial in a TBP, trans in an octahedron; these two rules generate SF₄, ClF₃, XeF₂, BrF₅ and XeF₄.
- Angles carry the physics — the 109.5/107/104.5 ladder is the repulsion order measured in degrees; quote lp–bp squeeze, never hand-wave “lone pair effect”.
FAQs
What are the main postulates of VSEPR theory?
VSEPR states that the shape of a molecule depends on the number of valence-shell electron pairs around its central atom, which arrange themselves to minimise repulsion and maximise distance. The repulsion order is lone pair–lone pair > lone pair–bond pair > bond pair–bond pair, so lone pairs compress the angles between bonding pairs. A multiple bond is treated as one super electron pair for geometry.
What is the difference between electron-pair geometry and molecular shape?
Electron-pair geometry is the arrangement of all electron pairs — bonding and lone — around the central atom, while molecular shape describes only the positions of the atoms. NH3 has tetrahedral electron-pair geometry but trigonal pyramidal shape, because the fourth vertex of the tetrahedron is occupied by a lone pair that is invisible to the shape. Every AXnEm molecule with m greater than 0 shows this difference.
Why is the bond angle of NH3 (107°) smaller than that of CH4 (109.5°)?
CH4 has four identical bond pairs, giving the ideal tetrahedral angle of 109.5°. In NH3 one vertex is a lone pair, and a lone pair occupies more space and repels bond pairs more strongly than bond pairs repel each other. That extra repulsion squeezes the H–N–H angle down to 107°. In H2O two lone pairs squeeze further, giving 104.5° — the ladder 109.5° → 107° → 104.5° is the repulsion order made visible.
Why is BeCl2 linear while H2O is bent, despite both having the formula AB2?
The formula alone cannot decide shape — the electron pairs can. BeCl2 (AX2) has two bond pairs and no lone pairs on beryllium, so the pairs sit 180° apart: linear. H2O (AX2E2) has two bond pairs and two lone pairs; the four pairs adopt a tetrahedral arrangement, and the two invisible lone pairs leave the two O–H bonds bent at 104.5°. Same AB2 formula, different AXE class, different shape.
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