Lewis structuresCourse level: AP Chemistry

Resonance Structures

What you'll be able to do: Draw a full set of resonance structures and describe the real molecule as a hybrid with delocalised electrons.

Best after: Multiple Bonds and Polyatomic Ions

Introduction

Ozone has two equal bonds, yet no single Lewis structure can show that. Resonance is the fix.

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

Learning objectives

  • Recognise when resonance structures are required
  • Draw a complete set of equivalent contributors
  • Describe the hybrid using average bond order
  • Explain why the molecule does not flip between structures

Why one structure is not enough

In ozone O₃ you can place the double bond on the left oxygen or the right one. Both drawings obey every rule, so neither can be preferred. Experiment shows the two O-O bonds are identical in length, intermediate between a single and a double bond, so neither drawing alone is the truth.

In one ozone contributor, use a central O with one lone pair, a double-bonded terminal O with two lone pairs, and a single-bonded terminal O with three lone pairs. Bonds use six electrons and the six lone pairs use twelve, totaling eighteen. The formal charges are +1 on the central O, −1 on the singly bonded terminal O and 0 on the other. In the other contributor the terminal roles exchange without changing the O–O–O skeleton.

Resonance structures differ only in electron placement. If atoms move, you have drawn a different molecule, not a resonance form.

The hybrid is one electronic description

Resonance contributors are alternative Lewis drawings used to describe a single species with delocalized electrons. The resonance arrow ↔ connects drawings; an equilibrium arrow describes different interconverting chemical species. Ozone is not spending half its time with a left double bond and half with a right double bond. Its equivalent O–O bonds have the same intermediate character at a given molecular geometry.

“One structure” does not mean the nuclei never vibrate or rotate. Resonance is a statement about the electronic description, not a denial of ordinary molecular motion. Nor do the contributors exist as separable molecules that could be collected in separate flasks.

Resonance contributors retain atom connectivity and differ in electron bookkeeping. Ozone is actually bent, with two equal O–O bonds.

Average bond order and delocalisation

For equivalent contributors in the introductory Lewis-resonance model, average the bond orders at a fixed pair of atoms with equal weights. In nitrate, that N–O pair is double once and single twice across three equivalent contributors, giving (2 + 1 + 1)/3 = 4/3. Unequal contributors cannot automatically be averaged equally; a weighted model would require defensible weights. These fractional Lewis bond orders summarize delocalization and are not unique quantitative measurements of electron density.

For a fixed N–O pair in nitrate, follow that exact pair through the three equivalent contributors: its orders are 2, 1 and 1, so the equal-weight Lewis average is 4/3. Do not divide by the number of atoms in the whole ion or average unrelated bonds. This fractional number summarizes a model of delocalization; it is not a literal fractional bond line switching on and off. Unequal contributors, such as those for N₂O, cannot automatically be assigned equal weights.

Unequal contributors

When the contributors are not equivalent, the ones with lower formal charges and with negative formal charge on the more electronegative atom contribute more to the hybrid. That idea is developed further in the formal charge lessons.

Delocalization often stabilizes a species relative to an otherwise comparable localized description, but it does not make every resonance-stabilized substance unreactive. Ozone is reactive, and benzene undergoes appropriate reactions. Chemical reactivity also depends on reagents, pathways and activation barriers. Use resonance to explain equivalent bonds and charge distribution without turning it into a universal reactivity prediction.

Check each proposed resonance move

  1. Keep the atom connectivity unchanged; do not move an H from one atom to another.
  2. Move existing lone pairs and π pairs, preserving the total electron count.
  3. Preserve the overall charge and check required octets in each contributor.
  4. Recalculate formal charges after moving electrons.

For nitrite, a lone pair on the single-bonded O becomes an N=O π pair while the original π pair becomes a lone pair on the other O. Moving only the first pair would leave N with too many electrons. The two drawings are equivalent because the O atoms occupy equivalent positions. By contrast, changing which atom is bonded to H creates a different connectivity and is not resonance. All contributors must be individually valid Lewis bookkeeping drawings, even though none alone shows the full electron distribution.

If an atom changes neighbors, the drawings are different structures, not resonance forms.

Key ideas

Definition
Resonance structures

Two or more valid Lewis structures for the same arrangement of atoms, differing only in electron placement.

Definition
Resonance hybrid

The real electronic structure described by a combination of valid contributors; equivalent contributors have equal weights.

Rule
Atoms stay put

Only electrons move between resonance forms; moving atoms creates an isomer instead.

Key concept
Carbonate

Three equivalent contributors give each C-O bond an average order of 1.33.

Equation
Average bond order

average Lewis bond order = Σ(wᵢ × bond order in contributor i), with Σwᵢ = 1

    Worked examples

    Worked example 1

    Draw the resonance structures of ozone O₃ and state the O-O bond order.

    Try it first: Draw one valid structure, then ask what else is equally valid.

      0 of 4 steps revealed.

      Worked example 2

      How many equivalent resonance structures does the carbonate ion CO₃ 2- have, and what is each C-O bond order?

      Try it first: Count electrons, then see how many positions the double bond can occupy.

        0 of 4 steps revealed.

        Worked example 3

        Draw the two equivalent contributors for nitrite, NO₂⁻, and predict its N-O bond orders.

        Try it first: Count 5 + 2(6) + 1 = 18 electrons and place N in the center.

          0 of 3 steps revealed.

          Common mistakes

          Common mistakes and better checks
          MistakeWhy it's wrongCheck instead
          Saying the molecule flips rapidly between resonance structures.Contributors are alternative drawings of one electronic hybrid, not species rapidly interconverting; ordinary molecular vibration and rotation still occur.Describe the electrons as delocalised over the whole set of atoms.
          Moving an atom to create a new resonance structure.Different atom positions mean a different compound.Check that every atom sits in the same place in each drawing.
          Expecting the bonds to have integer bond orders.Delocalisation gives fractional averages such as 1.33 or 1.5.For equivalent contributors, follow a fixed bond position through the drawings and average its bond orders equally.

          Scroll horizontally if needed to read all columns.

          After the lesson · Question bank

          Independent practice

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          What you should now know

          When more than one valid Lewis structure differs only in where the multiple bonds and lone pairs sit, the real species is a resonance hybrid, an average of the contributors. Delocalisation makes all equivalent bonds identical in length and gives fractional bond orders and fractional average formal charges.

          • Resonance is needed when several equally valid structures exist
          • Only electrons move between contributors, never atoms
          • The real species is one hybrid with delocalised electrons
          • Average bond order is often fractional
          • Delocalisation stabilises the species

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          Sources and further reading

          • Chemistry 2e, Section 7.4: Formal Charges and Resonance
            OpenStax · Rice University · 7.4
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