VSEPR Geometry Calculator
Use Valence Shell Electron Pair Repulsion theory to predict molecular shapes and bond angles.
Tetrahedral
4
sp3
109.5°
AX4E0
Potentially nonpolar (if all substituents identical)
Example Molecules
VSEPR Theory
VSEPR (Valence Shell Electron Pair Repulsion) theory predicts molecular geometry based on the principle that electron pairs around a central atom repel each other and arrange to minimize repulsion. Lone pairs take up more space than bonding pairs, causing bond angle compression.
What is VSEPR Geometry?
VSEPR geometry refers to the three-dimensional arrangement of atoms in a molecule as predicted by the Valence Shell Electron Pair Repulsion theory. The shape of a molecule is not arbitrary — it arises directly from the electrostatic repulsion between electron pairs in the valence shell of the central atom. These electron pairs, whether they participate in bonding or exist as lone pairs, arrange themselves to maximize the distance between them, thereby minimizing repulsive interactions. The resulting spatial arrangement defines the molecule's geometry.
Understanding molecular geometry is critical because a molecule's shape determines many of its physical and chemical properties. Polarity, reactivity, biological activity, color, and even phase behavior are all influenced by geometry. Two molecules with identical chemical formulas but different geometries — known as geometric isomers — can have dramatically different properties. For instance, cis- and trans-isomers of alkenes differ in polarity, boiling point, and biological activity purely because of their spatial arrangement.
This calculator allows you to determine the molecular and electron geometry of any simple molecule by specifying the number of bonding pairs and lone pairs on the central atom. It also computes the steric number, hybridization, bond angles, and provides an AXₙEₘ notation for easy classification. Example molecules are displayed to help you connect the abstract geometry to real chemical species.
Electron Geometry vs. Molecular Geometry
A crucial distinction in VSEPR theory is between electron geometry and molecular geometry. The electron geometry accounts for all electron domains — both bonding pairs and lone pairs — and describes how they are arranged in space around the central atom. The molecular geometry, on the other hand, describes the positions of the atoms only, with lone pairs omitted from the visual representation.
When there are no lone pairs, the electron geometry and molecular geometry are identical. For example, methane (CH₄) has four bonding pairs and zero lone pairs, so both geometries are tetrahedral. However, when lone pairs are present, the molecular geometry changes. Water (H₂O) has a tetrahedral electron geometry (four electron domains), but its molecular geometry is bent because only the two hydrogen atoms define the molecular shape. Ammonia (NH₃) has a tetrahedral electron geometry but a trigonal pyramidal molecular geometry.
| Electron Geometry | No Lone Pairs | 1 Lone Pair | 2 Lone Pairs | 3 Lone Pairs |
|---|---|---|---|---|
| Trigonal Planar | Trigonal Planar | Bent | — | — |
| Tetrahedral | Tetrahedral | Trigonal Pyramidal | Bent | — |
| Trigonal Bipyramidal | Trigonal Bipyramidal | Seesaw | T-shaped | Linear |
| Octahedral | Octahedral | Square Pyramidal | Square Planar | — |
Steric Number Calculation
Where:
- SN= Steric number — total number of electron domains
- BP= Number of bonding pairs on the central atom
- LP= Number of lone pairs on the central atom
Bond Angle Compression by Lone Pairs
Lone pairs exert a greater repulsive force than bonding pairs because they are localized entirely on the central atom rather than being shared between two atoms. This localized electron density spreads over a wider angular region, effectively pushing bonding pairs closer together and compressing bond angles below their ideal values. The magnitude of this compression increases with the number of lone pairs.
In tetrahedral geometry, the ideal angle is 109.5°. A molecule with one lone pair (like ammonia) has angles near 107°, while a molecule with two lone pairs (like water) has angles near 104.5°. In octahedral geometry, the ideal 90° angle compresses slightly when one lone pair is present (square pyramidal, ~84.8° in BrF₅) and remains close to 90° for two lone pairs (square planar). These deviations from ideal angles are important for accurately predicting molecular polarity and spectroscopic properties.
How to Use This Calculator
Use this calculator to quickly determine molecular geometry from electron pair counts:
- Select Bonding Pairs: Choose the number of atoms bonded to the central atom from the dropdown (2–6). This corresponds to the number of X groups in AXₙEₘ notation.
- Select Lone Pairs: Choose the number of lone pairs on the central atom (0–3). This corresponds to the number of E groups in AXₙEₘ notation.
- Read the Results: The calculator displays the molecular geometry name, electron geometry, hybridization, bond angles, steric number, and AXₙEₘ notation. It also lists example molecules that match the entered geometry and provides a polarity hint.
The calculator validates your input combination against known VSEPR geometries. If the combination does not correspond to a common geometry, an error message prompts you to adjust your inputs.
Real-World Applications
VSEPR geometry predictions are used extensively in drug design, where the three-dimensional shape of a molecule determines how it interacts with biological targets. Enzyme active sites are highly sensitive to molecular shape, and even small changes in geometry can dramatically affect a drug's binding affinity and efficacy. Computational chemistry tools use VSEPR as a first-pass approximation for generating initial molecular geometries before more refined calculations.
In environmental science, molecular geometry influences how gases interact with the atmosphere. The bent geometry of ozone (O₃) makes it UV-absorbing, while the linear geometry of CO₂ allows it to vibrate in modes that absorb infrared radiation, contributing to the greenhouse effect. In materials science, the geometry of monomer molecules determines how polymers pack and crystallize, affecting mechanical strength, optical clarity, and thermal stability of plastics and composites.
VSEPR predictions also play a role in inorganic chemistry for understanding coordination compounds. The geometry around a metal center in a coordination complex dictates its magnetic behavior, color, and catalytic activity. For example, square planar complexes of d⁸ metals like Pt(II) are diamagnetic, while octahedral complexes of the same metals may be paramagnetic depending on the ligand field splitting.
Worked Examples
Ammonia (NH₃)
Problem:
Determine the molecular geometry of ammonia, where nitrogen is bonded to three hydrogen atoms and has one lone pair.
Solution Steps:
- 1Count bonding pairs: Nitrogen forms 3 N–H bonds → BP = 3
- 2Count lone pairs: Nitrogen has 1 lone pair → LP = 1
- 3Steric number: SN = 3 + 1 = 4 → electron geometry is tetrahedral
- 4Molecular geometry: With 3 bonding pairs and 1 lone pair, the shape is trigonal pyramidal
- 5Lone pair compression reduces the H–N–H angle from the ideal 109.5° to approximately 107°
Result:
Trigonal pyramidal molecular geometry, ~107° bond angle, sp³ hybridization
Boron Trifluoride (BF₃)
Problem:
Determine the molecular geometry of BF₃, where boron is bonded to three fluorine atoms with no lone pairs.
Solution Steps:
- 1Count bonding pairs: Boron forms 3 B–F bonds → BP = 3
- 2Count lone pairs: Boron has 0 lone pairs → LP = 0
- 3Steric number: SN = 3 + 0 = 3 → electron geometry is trigonal planar
- 4Molecular geometry: With 3 bonding pairs and 0 lone pairs, the shape is trigonal planar
- 5Bond angles are exactly 120° with no compression
Result:
Trigonal planar molecular geometry, 120° bond angle, sp² hybridization
Xenon Difluoride (XeF₂)
Problem:
Determine the molecular geometry of XeF₂, where xenon is bonded to two fluorine atoms and has three lone pairs.
Solution Steps:
- 1Count bonding pairs: Xenon forms 2 Xe–F bonds → BP = 2
- 2Count lone pairs: Xenon has 3 lone pairs → LP = 3
- 3Steric number: SN = 2 + 3 = 5 → electron geometry is trigonal bipyramidal
- 4Molecular geometry: With 2 bonding pairs and 3 lone pairs, the shape is linear
- 5Lone pairs occupy equatorial positions, leaving fluorine atoms in axial positions at 180°
Result:
Linear molecular geometry, 180° bond angle, sp³d hybridization
Tips & Best Practices
- ✓Always calculate the steric number first — it is the single most important parameter for determining geometry.
- ✓When lone pairs are present, focus on the electron geometry first, then derive the molecular geometry by ignoring lone pairs.
- ✓Use the example molecules to verify your understanding — look up their actual structures to confirm the predictions.
- ✓Remember that bond angles are ideal values; real molecules may deviate slightly due to steric effects and differences in electronegativity among bonded atoms.
- ✓The polarity hint is a quick check — for rigorous polarity analysis, consider bond dipoles and all symmetry elements.
- ✓Practice by working backward: given a molecular geometry, determine the number of bonding and lone pairs.
Frequently Asked Questions
Sources & References
Last updated: 2026-06-06
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Chemistry: The Central Science
by Brown, LeMay, Bursten