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It comes from splitting from deuterium. The formula for splitting is 2nI + 1, where n is the number of nuclei, and I is the spin type. Since CDCl3 has 1 deuterium (n = 1), and the spin type is 1 (I = 1), you get 2(1)(1) + 1 = 3, so 3 peaks.

 

Ordinary hydrogen has spin type 1/2, which is why there is a different splitting rule for that (n + 1 rule).

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