EPR on free atoms
The concept of EPR is introduced with the case of free atoms. After this video, you will be able to draw qualitatively and quantitatively an energy level scheme for a free atom in an external magnetic field, for which you can then find the possible EPR transitions.
There are two tasks related to video:
First task: Use the forum underneath to describe what happens to a free La atom, subject to an external magnetic field, when it absorbs a microwave photon that satisfies the EPR resonance condition. As usual, feel free to comment respectfully on answers others have posted on the forum.
Second task: Consider the following picture that is taken from the video above:

Assuming a nuclear g-factor g=1, a nuclear spin I=1/2 and applied field B0=2 T, determine the photon energy for photons that will be absorbed in the case without hyperfine interaction. How does this photon energy change when there is a hyperfine interaction with Bhf=10 T? (consider transitions between the former mJ=-3/2 and -1/2 levels, and transitions between the former mJ=-1/2 and +1/2 levels)
Submit your answer on the forum underneath, and check it against other available answers there.
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