Spectroscopy · Section 63 of 64

¹³C NMR

Practice this — interactive lesson

Carbon NMR answers a question proton NMR cannot: how many distinct carbon environments does this molecule have? It is easier to read than a ¹H spectrum, because in its standard form every signal is a single clean peak — and that simplicity is precisely what makes it complementary rather than redundant.

Why ¹³C is structurally simpler

Carbon NMR detects the same phenomenon as proton NMR — nuclear resonance in a magnetic field, modulated by local electron density — with two practical differences.

Only ¹³C is NMR-active, and it is just 1.1% of natural carbon (¹²C has no nuclear spin). So the signals are inherently weak and need more sample or longer acquisition. This affects how hard the spectrum is to collect, not how it is interpreted.

The spectrum is not split. ¹³C-to-¹³C coupling essentially never appears, since the chance of two ¹³C atoms sitting adjacent is about 1.1% × 1.1%, roughly one molecule in ten thousand. And ¹³C-to-¹H coupling is deliberately removed by proton decoupling, an instrumental technique. The result is exactly one clean, unsplit peak per unique carbon environment.

Peak heights in a standard ¹³C spectrum are not proportional to carbon count. The decoupling introduces intensity distortions, and carbons with no attached hydrogens relax slowly and appear weak. So ¹³C tells you how many environments there are but not how many carbons are in each. That is the price of the clean peaks, and it is why ¹³C is read for count and ¹H for quantity.

Chemical shift ranges

The same deshielding logic applies, recalibrated to carbon's much wider range of roughly 0–220 ppm against the proton's 0–13.

Carbon typeppm
alkyl (sp³)0–50
C next to N30–65
alkyne (sp)65–90
C next to O50–90
alkene (sp²)100–150
aromatic110–160
nitrile115–125
ester / acid / amide C=O165–185
ketone / aldehyde C=O190–220

Alkyne carbons at 65–90 are an apparent exception to the usual hybridization-versus-shift intuition, sitting upfield of alkene carbons despite more s-character. The linear, cylindrically symmetric pi system produces an additional shielding effect that outweighs the expected trend.

The carbonyl region, 160–220 ppm, is cleanly separated from everything else, and a peak there means a carbonyl with essentially no ambiguity. A quick glance at whether a ¹³C spectrum has any peak above 160 is the fastest yes/no test for a carbonyl available — and where in that range it falls distinguishes a ketone or aldehyde (190–220) from an ester, acid or amide (165–185), matching the same electronic ordering as the IR frequencies.

Counting unique carbons: symmetry made visible

Equivalent carbons, related by molecular symmetry, give one shared signal. So the number of peaks directly measures how symmetric a molecule is, and comparing the peak count with the molecular formula is often the single most decisive piece of structural evidence available.

Worked example — three isomers of C₈H₁₀
CH₃CH₃ortho-xylene3 signals from the ring carbonsplus one for the two methylsCH₃CH₃meta-xylene4 signals from the ring carbonsplus one for the two methylsCH₃CH₃para-xylene2 signals from the ring carbonsplus one for the two methyls
What ¹³C is really good for. Because the spectrum is almost always run so that every carbon gives a single line, the number of lines is simply the number of distinct carbons — and that is a direct readout of the molecule's symmetry. The dashed mirror in each ring is doing the work: the more of the molecule it folds onto itself, the fewer signals you see. Three isomers, three different counts, no ambiguity.Same formula, C₈H₁₀, three isomers — and a ¹³C spectrum tells them apart at a glance, because symmetry makes carbons equivalent and equivalent carbons share a signal. Para is the most symmetric and gives the fewest lines; meta is the least and gives the most. Counting signals IS counting symmetry.

o-Xylene, m-xylene and p-xylene all have 8 carbons and nearly identical ¹H spectra. ¹³C separates them instantly.

p-Xylene: 3 peaks. The two methyls are equivalent, the two substituted ring carbons are equivalent, and all four remaining ring CH carbons are equivalent.

o-Xylene: 4 peaks. A mirror plane makes the two methyls and two pairs of ring carbons equivalent, leaving four environments.

m-Xylene: 5 peaks. Lower symmetry again — the carbon between the two methyls is its own unique environment.

Peak counting alone identifies which isomer you have.

DEPT: recovering the hydrogen counts

Decoupling makes the spectrum readable but throws away useful information: how many hydrogens sit on each carbon. DEPT — Distortionless Enhancement by Polarization Transfer — recovers it without reintroducing any splitting.

The standard experiment, DEPT-135, flips peaks up or down according to hydrogen count: CH and CH₃ carbons point up, CH₂ carbons point down, and quaternary carbons — with no attached hydrogen — do not appear at all.

Quaternary carbons are therefore identified by difference: present in the ordinary decoupled spectrum, absent from DEPT. And running a second experiment, DEPT-90, separates CH from CH₃, since only CH appears there. Between the two you get a complete hydrogen count for every carbon, with no multiplets to untangle.

Worked example — combining everything on C₄H₈O

DoU: (8 + 2 − 8)/2 = 1. IR: strong at 1715, no O–H. So a ketone, and that accounts for the one degree of unsaturation.

¹³C: four peaks — 8, 29, 37 and 209 ppm. Four environments for four carbons means no symmetry at all.

DEPT: 209 absent (quaternary — the carbonyl, as expected); 37 points down (a CH₂); 8 and 29 point up and appear in DEPT-135 but not DEPT-90, so both are CH₃.

Assemble: a carbonyl, a CH₂ and two CH₃ groups, all inequivalent. That is CH₃–CO–CH₂–CH₃, butan-2-one. Note that acetone would have given only two ¹³C peaks, because its two methyls are equivalent — the peak count ruled it out immediately.

How the four techniques fit together

Each answers a different question, and a structure problem hands you several because no one of them is sufficient.

Mass spec gives the molecular weight and formula, and therefore the degrees of unsaturation. IR names the functional groups. ¹³C counts the carbon environments and reveals symmetry. ¹H maps the skeleton through shift, integration and coupling.

Work them in that order — formula, groups, symmetry, connectivity — and structure determination becomes a systematic procedure rather than a puzzle.

What carries forward

¹³C is how you check a proposed structure quickly: count the environments your structure predicts, compare with the spectrum, and a mismatch means the structure is wrong. Combined with DEPT it fixes the hydrogen count on every carbon. The last section of the course supplies the molecular formula that all of this hangs on.