Areas of the Peaks in NMR Spectroscopy

– In this topic, we will discuss The Areas of the Peaks in NMR Spectroscopy

Areas of the Peaks

– The area under a peak is proportional to the number of hydrogens contributing to that peak.

– For example, in the methyl tert-butyl ether spectrum (Figure 1), the absorption of the tert-butyl protons is larger and stronger than that of the methoxy protons because there are three times as many tert-butyl protons as methoxy protons.

– We cannot simply compare peak heights, however; the area under the peak is proportional to the number of protons.

Areas of the Peaks in NMR Spectroscopy

NMR spectrometers have integrators that compute the relative areas of peaks.

– The integrator draws a second trace (the integral trace) that rises when it goes over a peak.

– The amount the integral trace rises is proportional to the area of that peak. You can measure these integrals using a millimeter ruler.

– Newer digital instruments also print a number representing the area of each peak. These numbers correspond to the heights of the rises in the integral trace.

– Neither an integral trace (shown in blue in Figure 1) nor a digital integral can specifically indicate that methyl tert-butyl ether has three methyl hydrogens and nine tert-butyl hydrogens.

– Each simply shows that about three times as many hydrogens are represented by the peak at δ 1.2 as are represented by the peak at δ 3.2.

– We must interpret what the 3 : 1 ratio means in terms of the structure.

– Figure 2 shows the integrated spectrum of a compound with molecular formula C6H12O2.

Areas of the Peaks in NMR Spectroscopy

– Because we know the molecular formula, we can use the integral trace to determine exactly how many protons are responsible for each peak.

– The integrator has moved a total of 32.5 mm vertically in integrating the 12 protons in the molecule.

– Each proton is represented by:

– The signal at has an integral of 3.0 mm, so it must represent one proton.

– At the integrator moves 5.5 mm, corresponding to two protons.

– The signal at has an integral of 8.0 mm, for three protons; and the signal at (16.0 mm) corresponds to six protons.

– Considering the expected chemical shifts together with the information provided by the integrator leaves no doubt which protons are responsible for which signals in the spectrum.

Areas of the Peaks in NMR Spectroscopy

References:

  • Organic chemistry / L.G. Wade, Jr / 8th ed, 2013 / Pearson Education, Inc. USA.
  • Fundamental of Organic Chemistry / John McMurry, Cornell University/ 8th ed, 2016 / Cengage Learningm, Inc. USA.
  • Organic Chemistry / T.W. Graham Solomons, Craig B. Fryhle , Scott A. Snyder / 11 ed, 2014/ John Wiley & Sons, Inc. USA.

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