VSEPR Geometry Calculator

Predict molecular geometry, bond angles, and hybridization using VSEPR (Valence Shell Electron Pair Repulsion) theory.

VSEPR Input

Electron pairs involved in bonding

Non-bonding electron pairs on central atom

Common Molecules:

VSEPR Principle:

Electron pairs around a central atom arrange themselves to minimize repulsion. Lone pairs repel more strongly than bonding pairs.

Molecular Geometry

Tetrahedral

Electron Geometry: Tetrahedral

/Bond Angle
109.5°
hHybridization
sp3
SNSteric Number
4
NAXnEm
AX4E0

Examples:

CH4CCl4NH4+

Polarity Prediction:

Likely nonpolar (if all atoms are identical)

VSEPR Geometries

BPLPMolecularAngleHybrid
20Linear180°sp
30Trigonal Planar120°sp2
21Bent117°sp2
40Tetrahedral109.5°sp3
31Trigonal Pyramidal107°sp3
22Bent104.5°sp3
50Trigonal Bipyramidal90/120°sp3d
41Seesaw~90/~120°sp3d

What is VSEPR Theory?

VSEPR theory (Valence Shell Electron Pair Repulsion) is a model used in chemistry to predict the three-dimensional shape of individual molecules based on the electrostatic repulsion between their electron pairs. Developed by Ronald Gillespie and Ronald Sydney Nyholm in 1957, VSEPR theory provides a remarkably simple yet powerful framework for understanding molecular geometry. The central idea is that electron pairs around a central atom arrange themselves as far apart as possible to minimize repulsion, and this arrangement determines the molecule's overall shape.

There are two types of electron pairs to consider: bonding pairs, which are shared between the central atom and surrounding atoms in chemical bonds, and lone pairs (also called non-bonding pairs), which reside solely on the central atom. Both types influence molecular geometry, but lone pairs occupy more space than bonding pairs because they are held closer to the central atom and spread out more. This extra spatial demand means that lone pairs compress bond angles slightly, which is why molecules with the same number of electron domains can have different shapes.

VSEPR theory works in tandem with hybridization theory to provide a complete picture of molecular structure. The steric number — the total count of bonding pairs plus lone pairs on the central atom — determines the electron-pair geometry (the spatial arrangement of all electron domains). The molecular geometry, which describes the actual positions of atoms, is then derived by ignoring the lone pairs and looking only at the atom positions. This calculator lets you input the number of bonding and lone pairs to instantly predict molecular geometry, electron geometry, bond angles, hybridization, and polarity.

VSEPR Notation and Geometry Table

In VSEPR notation, a molecule is described using the formula AXnEm, where A represents the central atom, X denotes each bonding pair (or bonded atom), and E represents each lone pair on the central atom. The steric number is the sum n + m, which determines the electron-pair geometry. For example, water (H₂O) is classified as AX₂E₂ because oxygen is the central atom bonded to two hydrogen atoms with two lone pairs remaining on the oxygen.

The table below summarizes all common VSEPR geometries for steric numbers 2 through 6. Each combination of bonding and lone pairs produces a unique molecular shape with characteristic bond angles. The hybridization column shows the orbital hybridization that corresponds to each electron geometry.

Steric # BP LP Molecular Shape Bond Angle Hybridization
220Linear180°sp
330Trigonal Planar120°sp²
321Bent<120°sp²
440Tetrahedral109.5°sp³
431Trigonal Pyramidal~107°sp³
422Bent~104.5°sp³
550Trigonal Bipyramidal90°/120°sp³d
541Seesaw~90°/~120°sp³d
660Octahedral90°sp³d²

VSEPR Notation

Steric Number = Bonding Pairs + Lone Pairs

Where:

  • SN= Steric number — total electron domains around the central atom
  • BP= Number of bonding pairs (atoms bonded to the central atom)
  • LP= Number of lone pairs on the central atom

How to Use This Calculator

Follow these steps to predict the geometry of any molecule:

  1. Enter Bonding Pairs: Input the number of atoms bonded to the central atom (2–6). For example, methane (CH₄) has 4 bonding pairs around carbon.
  2. Enter Lone Pairs: Input the number of non-bonding electron pairs on the central atom (0–3). Water has 2 lone pairs on oxygen, while ammonia has 1 lone pair on nitrogen.
  3. View Results: The calculator instantly displays the molecular geometry name, electron geometry, ideal bond angle, orbital hybridization, steric number, and AXₙEₘ notation. You also see example molecules matching that geometry and a polarity prediction.
  4. Try Quick Presets: Click on any preset molecule button (CH₄, NH₃, H₂O, CO₂, SF₆, BF₃) to auto-fill the correct bonding and lone pair counts for that well-known molecule.

The calculator validates all combinations against a database of common VSEPR geometries. If you enter a combination that does not correspond to a standard geometry, an informative message is displayed.

Understanding the Results

The calculator provides several key pieces of information for each geometry. The molecular geometry describes the three-dimensional arrangement of atoms, while the electron geometry describes the arrangement of all electron domains (both bonding and lone pairs). These two geometries are the same when there are no lone pairs; when lone pairs are present, the molecular geometry differs from the electron geometry because lone pairs are invisible in the molecular shape but still influence bond angles.

Bond angles represent the ideal angles between adjacent bonds. Lone pairs compress these angles because they occupy more angular space than bonding pairs. For instance, in a perfect tetrahedron the angle is 109.5°, but ammonia's single lone pair reduces it to approximately 107°, and water's two lone pairs compress it further to about 104.5°. The hybridization (sp, sp², sp³, sp³d, sp³d²) describes which atomic orbitals mix to form the bonding framework.

The polarity prediction indicates whether the molecule is likely polar or nonpolar. Molecules with zero lone pairs and identical surrounding atoms tend to be nonpolar due to symmetric charge distribution. When lone pairs are present or when different types of atoms surround the central atom, the molecule is usually polar because the charge distribution becomes asymmetric. This prediction is a useful first approximation, though full polarity analysis also considers bond dipoles and molecular symmetry.

Real-World Applications

VSEPR theory is indispensable across many areas of chemistry and materials science. In pharmaceutical chemistry, predicting molecular geometry helps medicinal chemists understand how drug molecules fit into protein binding sites. The three-dimensional shape of a drug determines its ability to interact with biological targets, making VSEPR predictions a starting point for drug design and optimization.

In environmental chemistry, molecular geometry influences how pollutants interact with water, soil, and atmospheric systems. For example, understanding that CCl₄ is tetrahedral and nonpolar explains why it is an effective nonpolar solvent, while the bent shape of SO₂ explains its solubility in water and its role in acid rain formation. In materials science, the geometry of molecules determines packing efficiency in crystals, which affects properties like melting point, density, and optical behavior.

VSEPR predictions are also essential in inorganic chemistry for understanding coordination complexes, where the geometry around a metal center determines magnetic properties, color, and reactivity. Transition metal complexes with octahedral, tetrahedral, or square planar geometries exhibit distinct spectroscopic and magnetic behaviors that can be predicted from their VSEPR geometry.

Worked Examples

Methane (CH₄)

Problem:

Predict the geometry of methane, which has carbon bonded to four hydrogen atoms with no lone pairs on carbon.

Solution Steps:

  1. 1Identify bonding pairs: Carbon forms 4 single bonds with hydrogen → BP = 4
  2. 2Identify lone pairs: Carbon has no lone pairs → LP = 0
  3. 3Calculate steric number: SN = 4 + 0 = 4
  4. 4With SN = 4 and 0 lone pairs, VSEPR predicts tetrahedral geometry
  5. 5Bond angle = 109.5°, hybridization = sp³

Result:

Tetrahedral geometry with 109.5° bond angles, sp³ hybridization

Water (H₂O)

Problem:

Predict the geometry of water, which has oxygen bonded to two hydrogen atoms with two lone pairs on oxygen.

Solution Steps:

  1. 1Identify bonding pairs: Oxygen forms 2 bonds with hydrogen → BP = 2
  2. 2Identify lone pairs: Oxygen has 2 lone pairs → LP = 2
  3. 3Calculate steric number: SN = 2 + 2 = 4
  4. 4Electron geometry is tetrahedral, but molecular geometry is bent
  5. 5Lone pairs compress the angle from 109.5° to approximately 104.5°

Result:

Bent molecular geometry with ~104.5° bond angle, sp³ hybridization

Sulfur Hexafluoride (SF₆)

Problem:

Predict the geometry of SF₆, where sulfur is bonded to six fluorine atoms with no lone pairs.

Solution Steps:

  1. 1Identify bonding pairs: Sulfur forms 6 bonds with fluorine → BP = 6
  2. 2Identify lone pairs: Sulfur has no lone pairs → LP = 0
  3. 3Calculate steric number: SN = 6 + 0 = 6
  4. 4With SN = 6 and 0 lone pairs, VSEPR predicts octahedral geometry
  5. 5Bond angle = 90°, hybridization = sp³d²

Result:

Octahedral geometry with 90° bond angles, sp³d² hybridization

Tips & Best Practices

  • Count all electron domains (bonding pairs + lone pairs) around the central atom to find the steric number first.
  • Lone pairs always occupy equatorial positions in trigonal bipyramidal electron geometry to minimize repulsion.
  • If all surrounding atoms are identical and there are no lone pairs, the molecule is almost certainly nonpolar.
  • Use the preset molecule buttons to verify your understanding — try predicting the geometry before clicking.
  • Remember that multiple molecular shapes can share the same electron geometry (e.g., tetrahedral electron geometry gives tetrahedral, trigonal pyramidal, or bent shapes).
  • When comparing molecules, more lone pairs on the central atom generally means smaller bond angles.

Frequently Asked Questions

Electron geometry describes the spatial arrangement of all electron domains (both bonding pairs and lone pairs) around the central atom. Molecular geometry describes the arrangement of only the atoms, ignoring lone pairs. When a molecule has lone pairs, its molecular geometry will differ from its electron geometry because the lone pairs influence shape but are not visible in the final molecular structure.
Lone pairs are held closer to the central atom than bonding pairs because they are not shared with another atom. This proximity causes them to spread out over a larger angular region, exerting greater repulsive force on adjacent bonding pairs. The result is that molecules with lone pairs have bond angles slightly smaller than the ideal angles predicted by the electron geometry alone.
VSEPR theory predicts the electron geometry, which in turn determines the hybridization of the central atom's orbitals. A steric number of 2 corresponds to sp hybridization, 3 to sp², 4 to sp³, 5 to sp³d, and 6 to sp³d². Hybridization explains how atomic orbitals mix to form the bonding framework that gives rise to the predicted geometry.
VSEPR theory is most straightforwardly applied to molecules with a single central atom. For molecules with multiple central atoms, you apply VSEPR to each central atom independently. The overall molecular shape is then determined by combining the local geometries at each center. This approach works well for simple molecules but becomes complex for large structures.
VSEPR theory works best for main-group elements and tends to be less accurate for transition metal compounds. It does not explain why certain geometries are preferred in terms of orbital energies, and it cannot predict bond lengths or bond strengths. For precise structural predictions, more advanced methods like molecular orbital theory or computational chemistry are needed.

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.

Source

Formula Source: Chemistry: The Central Science

by Brown, LeMay, Bursten

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.