Molecular Geometry Calculator

Calculate molecular geometry, shape, and bond angles using VSEPR theory from bonding and lone pairs.

Electron Pair Configuration

Atoms bonded to central atom

Non-bonding electron pairs on central atom

Quick Reference

Molecular Shape

Tetrahedral

Bond Angle: 109.5°

Electron Geometry

Tetrahedral

Hybridization

sp³

Steric Number

4

Example Molecules

CH₄, SiH₄

Polarity Prediction

Nonpolar (symmetric)

VSEPR Theory

Valence Shell Electron Pair Repulsion (VSEPR) theory predicts molecular geometry based on the principle that electron pairs around a central atom repel each other and arrange themselves to minimize repulsion. Lone pairs occupy more space than bonding pairs, which affects bond angles. The electron geometry describes the arrangement of all electron pairs, while molecular shape describes only the arrangement of atoms.

What Is Molecular Geometry?

Molecular geometry describes the three-dimensional arrangement of atoms in a molecule, determined by the Valence Shell Electron Pair Repulsion (VSEPR) theory. The shape of a molecule directly influences its polarity, reactivity, boiling point, and biological activity. VSEPR theory predicts geometry by minimizing repulsion between electron pairs surrounding the central atom — electron pairs arrange themselves as far apart as possible.

There is an important distinction between electron geometry (the arrangement of all electron pairs, including lone pairs) and molecular shape (the arrangement of only the atoms). Lone pairs occupy more space than bonding pairs because they are held closer to the nucleus and spread out more. This extra space compresses bond angles slightly below their ideal values.

This calculator takes the number of bonding pairs and lone pairs on a central atom and determines the electron geometry, molecular shape, bond angles, hybridization, and polarity. It covers all common geometries from linear (2 electron pairs) to octahedral (6 electron pairs), providing a comprehensive reference for understanding molecular structure.

VSEPR Theory Basics

VSEPR theory is based on the principle that electron pairs in the valence shell of a central atom repel each other and arrange themselves to minimize these repulsions. The resulting arrangement determines the molecular geometry. The theory considers both bonding pairs (shared in chemical bonds) and lone pairs (non-bonding).

Steric Number

Steric Number = bonding pairs + lone pairs

Where:

  • bonding pairs= Number of atoms bonded to the central atom
  • lone pairs= Number of non-bonding electron pairs on the central atom
  • steric number= Total electron groups surrounding the central atom

How to Use This Calculator

Determine molecular geometry from electron pair configuration:

  1. Enter Bonding Pairs: Count the number of atoms directly bonded to the central atom (0-6).
  2. Enter Lone Pairs: Count the number of non-bonding electron pairs on the central atom (0-3).
  3. View Results: The calculator displays electron geometry, molecular shape, bond angles, hybridization, example molecules, and polarity prediction.

Use the Quick Reference buttons to instantly load common configurations like CH₄ (4 bonding, 0 lone), NH₃ (3 bonding, 1 lone), H₂O (2 bonding, 2 lone), and SF₆ (6 bonding, 0 lone).

Common Molecular Geometries

The most common molecular geometries and their characteristics are summarized below:

Steric NumberElectron GeometryMolecular ShapeBond AngleExample
2LinearLinear180°CO₂, BeCl₂
3Trigonal PlanarTrigonal Planar120°BF₃, SO₃
3Trigonal PlanarBent<120°SO₂, O₃
4TetrahedralTetrahedral109.5°CH₄, SiH₄
4TetrahedralTrigonal Pyramidal<109.5°NH₃, PH₃
4TetrahedralBent<109.5°H₂O, H₂S
5Trigonal BipyramidalTrigonal Bipyramidal90°, 120°PCl₅, AsF₅
6OctahedralOctahedral90°SF₆, PCl₆⁻

Lone pairs always compress bond angles below their ideal values because they exert greater repulsion than bonding pairs.

Real-World Applications

Molecular geometry determines virtually every physical and chemical property of a molecule. Polarity depends on both bond polarity and molecular symmetry — a molecule with polar bonds can be nonpolar if its geometry is symmetric (like CO₂), while asymmetric geometries produce polar molecules (like H₂O).

In drug design, the three-dimensional shape of a molecule determines how it fits into enzyme active sites and receptor binding pockets. The concept of "lock and key" recognition depends on complementary molecular geometries. Even small changes in bond angles can dramatically alter biological activity.

In materials science, molecular geometry influences crystal packing, polymer chain structure, and material properties. The tetrahedral geometry of carbon enables the diversity of organic chemistry and the complexity of biological molecules. The linear geometry of alkynes and the planar geometry of alkenes determine their different reactivity patterns.

In environmental chemistry, molecular geometry affects how pollutants interact with biological systems. The bent geometry of ozone (O₃) makes it a powerful oxidizer, while the linear geometry of CO₂ allows it to be a symmetric, nonpolar molecule despite having polar bonds.

Worked Examples

Water (H₂O)

Problem:

Determine the molecular geometry of water, which has 2 bonding pairs and 2 lone pairs on oxygen.

Solution Steps:

  1. 1Steric number = 2 + 2 = 4 → Tetrahedral electron geometry
  2. 2With 2 lone pairs, the molecular shape is bent
  3. 3Ideal tetrahedral angle is 109.5°, but lone pairs compress it
  4. 4Actual bond angle in water is approximately 104.5°

Result:

Shape: Bent, Bond angle: ~104.5°, Hybridization: sp³, Polar molecule

Ammonia (NH₃)

Problem:

Find the geometry of ammonia with 3 bonding pairs and 1 lone pair on nitrogen.

Solution Steps:

  1. 1Steric number = 3 + 1 = 4 → Tetrahedral electron geometry
  2. 2With 1 lone pair, the molecular shape is trigonal pyramidal
  3. 3Lone pair compresses the H-N-H bond angle from 109.5°
  4. 4Actual bond angle is approximately 107°

Result:

Shape: Trigonal Pyramidal, Bond angle: ~107°, Hybridization: sp³, Polar molecule

Carbon Dioxide (CO₂)

Problem:

Determine the geometry of CO₂ with 2 bonding pairs and 0 lone pairs on carbon.

Solution Steps:

  1. 1Steric number = 2 + 0 = 2 → Linear electron geometry
  2. 2With 0 lone pairs, the molecular shape is also linear
  3. 3Bond angle is exactly 180°
  4. 4Despite having polar C=O bonds, the linear symmetry makes CO₂ nonpolar

Result:

Shape: Linear, Bond angle: 180°, Hybridization: sp, Nonpolar molecule

Tips & Best Practices

  • Count bonding pairs as the number of atoms bonded to the central atom, not the number of bonds.
  • Lone pairs always occupy more space than bonding pairs, compressing bond angles.
  • If all outer atoms are the same, symmetric geometries cancel bond dipoles (nonpolar molecule).
  • Water's 104.5° angle is less than the ideal tetrahedral 109.5° due to two lone pairs.
  • Use the Quick Reference buttons for instant access to common molecular geometries.
  • Hybridization follows the steric number: 2→sp, 3→sp², 4→sp³, 5→sp³d, 6→sp³d².

Frequently Asked Questions

Electron geometry describes the arrangement of all electron pairs (both bonding and lone pairs) around the central atom. Molecular shape describes only the arrangement of atoms. When there are no lone pairs, electron geometry and molecular shape are the same. When lone pairs are present, the molecular shape differs because lone pairs are invisible in the shape name but still affect bond angles.
Lone pairs are held closer to the central atom's nucleus than bonding pairs, which are shared between two atoms. This means lone pairs occupy more angular space and exert stronger repulsion on neighboring electron pairs. The increased repulsion pushes bonding pairs closer together, reducing the bond angle below the ideal value for the electron geometry.
A molecule is polar if it has both polar bonds AND an asymmetric geometry. Symmetric geometries (linear CO₂, trigonal planar BF₃, tetrahedral CH₄) cancel out individual bond dipoles, making the molecule nonpolar. Asymmetric geometries (bent H₂O, trigonal pyramidal NH₃) do not cancel bond dipoles, resulting in a net molecular dipole moment.
Hybridization is determined by the steric number (total electron groups). Steric number 2 → sp, 3 → sp², 4 → sp³, 5 → sp³d, 6 → sp³d². Hybridization describes the mixing of atomic orbitals to form the hybrid orbitals that accommodate the electron pairs in the predicted geometry.
VSEPR works well for main-group elements and many transition metal compounds, but has limitations. It cannot accurately predict geometries involving extensive d-orbital participation, very large molecules where steric effects dominate, or molecules where electron correlation effects are important. For these cases, quantum mechanical calculations 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.