BondingVSEPRContent level: Core 20 min

VSEPR Shapes and Bond Angles

What you'll be able to do: Convert a domain count and lone pair count into a molecular shape with predicted bond angles.

Best after: Counting Electron Domains

Introduction

VSEPR predicts molecular shape from electron domains around a central atom. Lone-pair repulsion helps explain many bond-angle trends, while measured angles can also reflect the atoms and bonding involved.

These are recommended, not required. You can start this lesson at any time.

Learning objectives

  • Predict molecular shape from bonding domains and lone pairs
  • Give ideal bond angles for each electron geometry
  • Explain angle compression using lone pair repulsion
  • Place lone pairs correctly in trigonal bipyramidal geometry
  • Use shape and polarity together to predict a molecular dipole

Lesson

The shape table

With four domains: no lone pairs gives tetrahedral, one lone pair gives trigonal pyramidal, two lone pairs gives bent. With three domains: no lone pairs gives trigonal planar, one lone pair gives bent. With five domains: zero through three lone pairs give trigonal bipyramidal, seesaw, T-shaped and linear. With six domains: zero through two lone pairs give octahedral, square pyramidal and square planar.

Methane, ammonia, and water each have four tetrahedrally arranged electron domains. The diagram compares their electron-domain geometry with their molecular geometry: tetrahedral, trigonal pyramidal, and bent. Lone pairs are marked E.
Electron geometry counts bonds and lone pairs; molecular geometry traces only the bonded atoms. Solid wedges project forward and dashed bonds recede.
Learn the domain geometry first, then subtract lone pairs to name the atom arrangement.

Why angles shrink

A lone pair is attracted to only one nucleus, so its electron cloud usually spreads wider than a bonding pair and compresses nearby bond angles. Methane has ideal 109.5° angles, ammonia drops to about 107° with one lone pair, and water drops to about 104.5° with two. This is a useful trend, not a rule that explains every measured angle: PH₃ has an H–P–H angle near 93° because its P–H bonds are largely p-like, whose directions are close to 90°, unlike the more hybridized N–H bonds in NH₃.

Repulsion strength is usually lone pair–lone pair > lone pair–bonding pair > bonding pair–bonding pair. Use that to predict trends, then remember that the identity of the central atom and its bonding can shift real angles.

Shape and polarity

A molecule is polar when polar bonds fail to cancel. CO₂ is linear, so its two bond dipoles cancel and the molecule is nonpolar. Water is bent, so its dipoles add and the molecule is strongly polar. Symmetric shapes such as tetrahedral CCl₄ and square planar XeF₄ cancel; asymmetric shapes such as trigonal pyramidal NH₃ and seesaw SF₄ do not.

Explain polarity from the whole shape

After counting electron domains, remove lone-pair positions to name the molecular shape and then add the bond-dipole vectors. Equal bond dipoles can cancel in a symmetric arrangement, while a bent or pyramidal arrangement generally leaves a net dipole. A Lewis structure and a shape are both needed; bond polarity alone cannot settle molecular polarity.

Shape controls whether bond dipoles cancel.

Key ideas

Rule
Lone pairs in a trigonal bipyramid

Lone pairs go equatorial because that position has only two neighbours at 90 degrees instead of three.

Rule
Ideal angles

Linear 180, trigonal planar 120, tetrahedral 109.5, trigonal bipyramidal 120 and 90, octahedral 90.

Definition
Bent shape

Two bonded atoms with one or two lone pairs on the central atom.

Key concept
SF₄

Five domains with one lone pair gives a seesaw shape and a net dipole.

Equation
Molecular shape rule

shape = f(bonding domains, lone pairs)

    Worked examples

    Worked example 1

    Predict the molecular shape and approximate bond angle of NH₃, and state whether it is polar.

    Try it first: Count domains on nitrogen before naming anything.

      0 of 5 steps revealed.

      Worked example 2

      Why is XeF₄ nonpolar even though every Xe-F bond is polar?

      Try it first: Work out the domain count for xenon.

        0 of 4 steps revealed.

        Worked example 3

        Compare the shapes and net polarity of BF₃ and PF₃.

        Try it first: Count central bonds and lone pairs in each.

          0 of 3 steps revealed.

          Common mistakes

          Calling water tetrahedral because it has four domains.

          Why it's wrong: Molecular shape names the atoms only, and water has just two bonded atoms.

          Check instead: Name the shape from bonded atoms, and use the domain count only to set the framework.

          Putting a lone pair in an axial position of a trigonal bipyramid.

          Why it's wrong: An axial lone pair would face three neighbours at 90 degrees instead of two.

          Check instead: Always place lone pairs equatorially in five-domain systems.

          Assuming polar bonds always give a polar molecule.

          Why it's wrong: Symmetric geometry can cancel the individual bond dipoles.

          Check instead: Add the bond dipoles as vectors using the predicted shape.

          After the lesson · Question bank

          Independent practice

          Work through new problems on this topic on your own. The lesson's quick checks and worked examples stay above if you need to review a step.

          No questions are available for this topic yet. Explore the unit question bank.

          Your next step

          Lesson: Not marked completed

          Marking a lesson completed records that you finished reading it. Practice establishes mastery separately. Saved on this device.

          Continue through the unit’s lessons and available practice.

          What you should now know

          VSEPR predicts electron geometry from the number of domains and molecular shape from the positions of bonded atoms. Lone pairs usually compress nearby bond angles, and in a trigonal bipyramid they occupy equatorial positions. These are qualitative trends: the central atom and bonding also affect measured angles, as the near-90° H–P–H angle in PH₃ illustrates. Molecular polarity depends on whether the bond dipoles cancel in the predicted shape.

          • Molecular shape comes from bonding domains after lone pairs are set aside
          • Ideal angles are 180, 120, 109.5 and 90 depending on the domain count
          • Lone pairs repel more strongly and compress bond angles
          • Lone pairs take equatorial sites in trigonal bipyramidal geometry
          • Symmetric shapes cancel bond dipoles and give nonpolar molecules

          Sources and further reading

          This lesson is original Chem Help content. No external sources were adapted.