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
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:
- Enter Bonding Pairs: Count the number of atoms directly bonded to the central atom (0-6).
- Enter Lone Pairs: Count the number of non-bonding electron pairs on the central atom (0-3).
- 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 Number | Electron Geometry | Molecular Shape | Bond Angle | Example |
|---|---|---|---|---|
| 2 | Linear | Linear | 180° | CO₂, BeCl₂ |
| 3 | Trigonal Planar | Trigonal Planar | 120° | BF₃, SO₃ |
| 3 | Trigonal Planar | Bent | <120° | SO₂, O₃ |
| 4 | Tetrahedral | Tetrahedral | 109.5° | CH₄, SiH₄ |
| 4 | Tetrahedral | Trigonal Pyramidal | <109.5° | NH₃, PH₃ |
| 4 | Tetrahedral | Bent | <109.5° | H₂O, H₂S |
| 5 | Trigonal Bipyramidal | Trigonal Bipyramidal | 90°, 120° | PCl₅, AsF₅ |
| 6 | Octahedral | Octahedral | 90° | 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:
- 1Steric number = 2 + 2 = 4 → Tetrahedral electron geometry
- 2With 2 lone pairs, the molecular shape is bent
- 3Ideal tetrahedral angle is 109.5°, but lone pairs compress it
- 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:
- 1Steric number = 3 + 1 = 4 → Tetrahedral electron geometry
- 2With 1 lone pair, the molecular shape is trigonal pyramidal
- 3Lone pair compresses the H-N-H bond angle from 109.5°
- 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:
- 1Steric number = 2 + 0 = 2 → Linear electron geometry
- 2With 0 lone pairs, the molecular shape is also linear
- 3Bond angle is exactly 180°
- 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
Sources & References
Last updated: 2026-06-06
Help us improve!
How would you rate the Molecular Geometry Calculator?
Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Chemistry: The Central Science
by Brown, LeMay, Bursten