Organic Chemistry Structure Determination

1H NMR: Proton Counting and Spin–Spin Splitting

Topic overview

Start with the big picture

Integration trace area is proportional to the number of equivalent protons represented by a signal. Normalize integral values against the smallest and scale the ratios to whole-number proton counts, while treating OH, NH, and SH integrations cautiously because exchange can make them unreliable. Splitting, by contrast, arises from spin–spin coupling: in first-order cases, n equivalent vicinal protons produce n + 1 lines, with relative intensities described by Pascal’s triangle. The total area of a multiplet—not each individual line—corresponds to its proton count. Coupling constants measure spacing between adjacent lines and help link coupled nuclei. When chemical-shift separation is not large relative to J, second-order patterns can distort line ratios without changing overall integration. Combining integration, splitting, and chemical shift helps assign fragments and complete proton accounting.

Learning objectives

What you'll learn

  • Normalize integration values to estimate proton counts, noting why exchangeable protons may be unreliable.
  • Distinguish multiplet integration from splitting and apply the first-order n + 1 rule.
  • Interpret line intensities and coupling constants in first-order spectra.
  • Recognize when second-order effects or chemical exchange complicate signal patterns.
  • Combine integration, splitting, and chemical shift to support proton assignment.
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