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A lithium nucleus has four independent spin orientations, labeled by the quantum number m=-3/2,-1/2,1/2,3/2. In a magnetic field B, the energies of these four states

A lithium nucleus has four independent spin orientations, labeled by the quantum number m=-3/2,-1/2,1/2,3/2. In a magnetic field B, the energies of these four states are E=-μmB where the constant μ is 1.03x10-7 eV/T. In the Purcell-Pound experiment performed in 1951, the maximum magnetic field strength was 0.63 T and the temperature was 300 K. Calculate the probability of a lithium nucleus being in the state where m=-3/2.

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