Molecular Shapes: VSEPR Theory
Learn VSEPR theory: count electron domains, tell electron geometry from molecular shape, and predict bond angles for linear, bent, trigonal pyramidal, and tetrahedral molecules.
What you'll do in this lesson
A voice-first session with the Crimsora tutor on Molecular Shapes: VSEPR Theory, then targeted practice and FRQs — with the tutor adapting to where you get stuck.
What this lesson covers
VSEPR theory (valence shell electron pair repulsion) is the simple, powerful model that turns a flat Lewis structure into a 3-D shape. The whole model rests on one idea: negatively charged groups of electrons around a central atom push each other as far apart as possible. In this lesson you will learn to count electron domains, name the electron geometry, name the molecular shape (which counts only atoms), and estimate bond angles — including why lone pairs squeeze those angles smaller than the ideal values.
The One Rule Behind VSEPR: Electrons Repel
The regions being counted are called electron domains (also called electron groups). A domain is any of the following attached to the central atom: a single bond, a double bond, a triple bond, a lone pair, or a lone single electron. The crucial and most-missed detail is that a multiple bond counts as one domain, not two or three. The two electron pairs in a double bond are locked between the same two nuclei, so they point in one direction and repel other domains as a single fat region.
Because domains push apart, the number of domains alone determines the basic arrangement in space:
| Domains | Electron geometry | Ideal angle |
|---|---|---|
| 2 | linear | |
| 3 | trigonal planar | |
| 4 | tetrahedral | |
| 5 | trigonal bipyramidal | and |
| 6 | octahedral |
Counting Domains from a Lewis Structure
First, identify the central atom — usually the single atom of one element, the least electronegative atom, or the atom written first in the formula (hydrogen is never central because it forms only one bond). Second, count the atoms bonded to that central atom; each bonded atom contributes exactly one domain regardless of whether the bond is single, double, or triple. Third, count the lone pairs drawn on the central atom. Lone pairs on outer atoms are ignored completely — they do not affect the shape.
A useful shorthand is , where is the central atom, is a bonded atom, and is a lone pair. Total domains .
| Molecule | Bonded atoms () | Lone pairs on center () | Total domains |
|---|---|---|---|
| 2 | 0 | 2 | |
| 2 | 1 | 3 | |
| 3 | 0 | 3 | |
| 3 | 1 | 4 | |
| 2 | 2 | 4 |
Electron Geometry Versus Molecular Shape
When there are no lone pairs on the central atom, the two names are identical. When lone pairs are present, they still occupy space and still set the arrangement, but since we cannot see them, the visible shape gets a different name.
| Domains | Lone pairs | Electron geometry | Molecular shape | Example |
|---|---|---|---|---|
| 2 | 0 | linear | linear | |
| 3 | 0 | trigonal planar | trigonal planar | |
| 3 | 1 | trigonal planar | bent | |
| 4 | 0 | tetrahedral | tetrahedral | |
| 4 | 1 | tetrahedral | trigonal pyramidal | |
| 4 | 2 | tetrahedral | bent |
Note also that "bent" appears twice, from three domains and from four. Bent is a shape name, not a domain count, so always state the electron geometry too if you are asked to describe a molecule fully.
Bond Angles: Why Lone Pairs Squeeze
A lone pair is held by only one nucleus, so its electron cloud spreads out wider and closer to the central atom than a bonding pair, which is pulled taut between two nuclei. The result is the repulsion rankingEach lone pair therefore pushes the bonding pairs together, shrinking the bond angle below the ideal value. The tetrahedral series shows this cleanly: has , drops to about with one lone pair, and drops to about with two.
| Molecule | Domains / lone pairs | Approximate angle |
|---|---|---|
| 4 / 0 | ||
| 4 / 1 | ||
| 4 / 2 | ||
| 3 / 1 | slightly less than | |
| 2 / 0 |
On homework, the safe phrasing is "approximately " or "slightly less than ." What matters is that you justify the direction of the deviation with lone-pair repulsion — a bare number with no reasoning shows nothing about whether you understand the model.
A Reliable Procedure and Where Students Slip
| Step | Action |
|---|---|
| 1 | Draw a valid Lewis structure, adjusting electrons for any ionic charge |
| 2 | Count domains on the central atom: bonded atoms plus lone pairs |
| 3 | Name the electron geometry from the domain count |
| 4 | Delete the lone pairs mentally and name the molecular shape |
| 5 | State the ideal angle, then reduce it slightly for each lone pair |
Shape matters beyond naming. In the next lesson on polarity, the shape decides whether individual bond dipoles cancel: is linear, so its two polar bonds point in exactly opposite directions and cancel, making the molecule nonpolar, while bent cannot cancel and is strongly polar. Same kinds of bonds, different geometry, completely different behavior — which is exactly why chemists care about VSEPR.
Key terms
- VSEPR theory.
- Valence shell electron pair repulsion theory: the model stating that electron domains around a central atom arrange themselves as far apart as possible to minimize repulsion.
- Electron domain.
- A region of electron density around the central atom — one lone pair, or one bond of any order. A double or triple bond counts as a single domain.
- Electron geometry.
- The three-dimensional arrangement of all electron domains around the central atom, counting both bonding domains and lone pairs.
- Molecular shape.
- The arrangement of the atoms only, obtained by ignoring the lone pairs on the central atom while keeping the underlying domain arrangement.
- Bonding pair.
- A pair of electrons shared between two atoms; it is pulled between two nuclei and occupies a narrower region than a lone pair.
- Lone pair.
- A nonbonding electron pair on the central atom; it spreads over a wider region and repels other domains more strongly, compressing bond angles.
- Bond angle.
- The angle formed at the central atom between two bonds to outer atoms, reported as an approximate value because lone pairs and multiple bonds cause deviations from ideal values.
- AXE notation.
- Shorthand where is the central atom, is the number of bonded atoms, and is the number of lone pairs; total domains equal .
Worked example
Step 2 — Count domains on the central atom. Sulfur has 3 bonded oxygens plus 1 lone pair, so there are electron domains. In AXE notation this is .
Step 3 — Electron geometry. Four domains always spread to a tetrahedral arrangement, ideal angle .
Step 4 — Molecular shape. Hide the lone pair and look at the atoms: sulfur sits at the apex with three oxygens forming a triangular base. That is trigonal pyramidal, the same shape as .
Step 5 — Bond angle. Start from the ideal . One lone pair repels the bonding pairs more strongly than they repel each other, so the angles compress to approximately (any answer phrased as "slightly less than " with that reasoning is complete).
Final answer: tetrahedral electron geometry, trigonal pyramidal molecular shape, bond angles of about .
Practice questions
A central atom is surrounded by four electron domains, two of which are lone pairs. What is the molecular shape?
- Linear
- Bent
- Trigonal planar
- Trigonal pyramidal
Answer: Bent
Both and contain one central atom bonded to two other atoms, yet is linear with a angle and is bent with an angle near . Explain the difference using VSEPR.
Answer: Carbon in has two domains (two double bonds, no lone pairs), so the domains spread to and the molecule is linear. Oxygen in has four domains (two bonds plus two lone pairs), giving tetrahedral electron geometry; hiding the lone pairs leaves a bent shape, and the extra repulsion from two lone pairs compresses the angle to about .
Determine the electron geometry, molecular shape, and approximate bond angle for (formaldehyde), where carbon is the central atom.
Answer: Trigonal planar electron geometry, trigonal planar molecular shape, bond angles of approximately .
FAQ
- Does a double bond count as two electron domains?
- No. A double or triple bond counts as one electron domain. Both electron pairs in a double bond lie between the same two nuclei, so they point in one direction and behave as a single region of electron density. Treating a double bond as two domains is the single most common error in VSEPR problems and will change your predicted shape entirely.
- What is the difference between electron geometry and molecular shape?
- Electron geometry counts every domain, including lone pairs; molecular shape counts only the positions of atoms. They match when the central atom has no lone pairs. When lone pairs are present, the lone pairs still control the arrangement but are not part of the shape name — ammonia has tetrahedral electron geometry but trigonal pyramidal molecular shape.
- Why are bond angles described as approximate?
- The ideal angles come from spreading identical domains as far apart as possible. Real domains differ: a lone pair spreads wider than a bonding pair, and a multiple bond is bulkier than a single bond. Each lone pair pushes the bonds closer together, so the actual angle drops below the ideal — from to about in and about in .
- Do lone pairs on the outer atoms affect the shape?
- No. Only domains on the central atom determine geometry. The three lone pairs on each chlorine in or on each fluorine in are ignored. Draw them in your Lewis structure for correctness, but count only what is attached to the central atom when you apply VSEPR.
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The Crimsora tutor teaches Molecular Shapes: VSEPR Theory live — explaining on a whiteboard, asking you questions, and adapting to where you get stuck.