Discussion
How many orientations does a nucleus of spin I take up in a magnetic field?
Answer: C
The number of allowed orientations is 2I + 1, each labelled by a magnetic quantum number m running from +I to -I in integer steps. A spin-half nucleus therefore has two levels, deuterium with I = 1 has three, and a spin of 3/2 has four. The degeneracy of these levels is lifted only by the applied field, which is what Zeeman splitting means, and the selection rule for an NMR transition is a change of one in m. Counting the levels correctly is the first step in predicting how many lines a nucleus can give.
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