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1.a) To calculate the g-factor, we first need the magnetic dipole moments. For the ground state this is -0.5940 nm, and for the 245 keV level, we got -0.766 nm. Combining this in the formula gives: g = -0.5940 * hbar * 2 / mu_N, and g = -0.766 * hbar * 2 /( 5 * mu_N).
1.b) For a free electron we have I = 1/2, so g = mu_B * hbar * 2 / mu_N.
1.c) We convert the known formula to mu = g * mu_N * I / hbar, which gives for g = -3.826: mu = -3.826 * mu_N / (2 * hbar).
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