Determine proton equivalence and signal count

Ethane's six protons are equivalent by symmetry and rapid rotation, so they give one ¹H environment.

  • GCE A-Level H3 Chemistry 9813-2027
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Learning objectives

  • Determine proton equivalence and signal count

Count environments, not atoms

Ethane's six protons are equivalent by symmetry and rapid rotation, so they give one ¹H environment.

CH₃CH₂Cl has two environments: CH₃ and CH₂, despite five proton nuclei.

Before counting signals, draw the complete structure and mark any symmetry operation or rapid rotation that interchanges protons. Counting carbon atoms or written groups is only a starting clue.

Chemical equivalence

Equivalent protons have the same chemical environment and chemical shift at the stated treatment.

A symmetry operation or rapid motion can interchange equivalent protons; merely sharing a carbon is not a universal proof.

The replacement test is useful: replace each candidate proton in turn by an imagined label. If the labelled structures are related by an allowed symmetry operation, the original protons are chemically equivalent at this level.

Use substitution and symmetry tests

Replace one candidate proton with a label and compare the resulting structures; symmetry-related replacements support equivalence at this level.

In propane the two terminal CH₃ groups are equivalent, while the central CH₂ is distinct: two signals with 6H and 2H integrals.

Equivalence is determined for the molecular situation stated in the question. Rapid rotation can average positions on the NMR timescale, while a stereogenic or otherwise asymmetric environment can make apparently similar protons non-equivalent.

Count propanone signals

The two CH₃ groups in CH₃COCH₃ are interchanged by symmetry.

All six protons form one environment, so propanone gives one 6H singlet in this simple treatment.

For propanone, a symmetry operation exchanges the two methyl groups and rotation exchanges the three protons within each methyl. All six therefore contribute to one environment.

Try this

Predict the number and integral of propanone's proton signals.

Check your answer

One signal integrating to 6H; both methyl groups are equivalent by symmetry.

Count ethyl ethanoate

Ethyl ethanoate is CH₃CO₂CH₂CH₃: a methyl group on the carbonyl carbon, then the ester oxygen, then an ethyl group.

Build an environment table with three columns: structural location, number of equivalent protons and reason for equivalence or difference. This prevents an integral from being mistaken for the number of signals.

Test each CH₃ against the other: is there a symmetry operation or rapid motion that interchanges them, or are their neighbours different?

Try this

Complete the environment table for ethyl ethanoate, then state the number of signals and their integral ratio. Do not use multiplicity.

Check your answer

Three environments: COCH₃ (3H), OCH₂ (2H) and the terminal CH₃ (3H), integral ratio 3:2:3. The two methyl groups are not interchanged by any symmetry operation: one is bonded to C=O, the other to CH₂O.

Transfer to para-disubstituted benzene

para-Dichlorobenzene is a benzene ring with Cl at positions 1 and 4 and H at positions 2, 3, 5 and 6.

State the symmetry assumption you use and count sets of equivalent protons rather than individual H atoms.

Try this

Use the symmetry of para-dichlorobenzene to find how many aromatic proton environments it has and the integral of each. Name a symmetry operation that supports each grouping.

Check your answer

One aromatic environment integrating to 4H. The mirror plane through C1 and C4 exchanges H2 with H6 and H3 with H5; the mirror plane perpendicular to it exchanges H2 with H3 and H5 with H6. Together they interchange all four protons.

One proton does not mean one signal

A signal belongs to an environment shared by equivalent protons.

Conversely, protons on one carbon may become non-equivalent in a chiral/asymmetric context, though use only supplied stereochemical information.

Protons joined to the same carbon are not automatically equivalent, and protons on different carbons are not automatically different. The molecular symmetry and stereochemical context decide.

Try this

Better reasoning: “C4H10 has ten proton signals.”

Check your answer

Count symmetry-related environments for the specified isomer rather than atoms.

Count before interpreting area

After the check questions, count the environments in methyl tert-butyl ether without notes. Return later for a different disubstituted-benzene question.

Try this next: use integration.

In an exam, show the grouping on the structure before stating the signal count. A bare number earns less confidence than a count supported by labelled environments and symmetry.

Try this

Construct an environment table for methyl tert-butyl ether, (CH₃)₃COCH₃.

Check your answer

Two environments: the nine tert-butyl protons, interchanged by rotation about the C–O and C–C bonds, and the three OCH₃ protons; integral ratio 9:3 (3:1).

Determine proton equivalence and signal count scientific representation

Text lists every labelled set, atom location, proton count and the symmetry operation used.

About 5 minutes

Key visual: Determine proton equivalence and signal count. Fixed displayed structures with proton-set labels make equivalence a symmetry judgement rather than a name substitution.

Ethyl ethanoate sets

Determine proton equivalence and signal count authored scientific diagramText lists every labelled set, atom location, proton count and the symmetry operation used.A CH₃ / 3HC=OO–B CH₂ / 2HC CH₃ / 3H

Propanone symmetry plane

Determine proton equivalence and signal count authored scientific diagramText lists every labelled set, atom location, proton count and the symmetry operation used.CH₃ / 3HC=OCH₃ / 3H1
  1. reflection interchanges methyl groups

para-Dichlorobenzene one aromatic 4H set

Determine proton equivalence and signal count authored scientific diagramText lists every labelled set, atom location, proton count and the symmetry operation used.benzeneClClset A / 1Hset A / 1Hset A / 1Hset A / 1H
  • symmetry interchanges all four aromatic H → one 4H signal

Text alternative: Text lists every labelled set, atom location, proton count and the symmetry operation used.