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1. Which information about the nucleus ánd which information about the hyperfine interaction can you infer, when given the picture above?
The amount of hyperfine levels tells something about the spin of the nucleus. When the levels are further apart, the magnetic field is larger. We can also know which orientation has the lowest energy, if the sample is at very low (mK range) temperature.2. Describe the orientation of a nuclear ensemble in the conditions given in the picture above, at low temperature.
At low T, the most nuclei are in the lowest energy state. This means that they will be pointed preferentially in the same direction. However, some nuclei may be in a higher energy state. So it will be a pear shaped distribution of nuclear spins. The pear is upside down, because most nuclei are in the lowest energy state which has m_I = +1
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