Small splits present in all levels due to interaction between the electron spin and the nuclear spin if it is present, i.e. the nucleus has an even number of nucleons.
As the name suggests, this energy split is very small, since the influence of the nucleus spin on the electron spin is relatively small compared to other fine structure.
TODO confirm: does it need quantum electrodynamics or is the Dirac equation enough?
The most important examples:
21 cm is very long and very low energy, because he energy split is very small!
Compare it e.g. with the hydrogen 1-2 spectral line which is 121.6 nm!

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Hyperfine structure by Donald Trump 29 Updated Created
This is a section about Hyperfine structure!
Hyperfine structure is a very important subject about which there is a lot to say.
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Hyperfine structure by Barack Obama 11 Updated Created
This is a section about Hyperfine structure!
Hyperfine structure is a very important subject about which there is a lot to say.
For example, this sentence. And then another one.