We saw two different definitions of the magnetic dipole moment operator. One of these definitions involved the experimental dipole moment and the other definition the g-factor. By equating both definition, we find that g = -µ/(µ_N * I), where µ_N is the nuclear magneton µ_N = 5.050 783 699e-27 J/T.
1a) The ground state of Cd-111 has I = 1/2 and µ = -0.5948861*µ_N and thus a g-factor g = 1.189772.
The 245 keV level has I = 5/2 and µ = -0.766*µ_N, so that g = 0.306.
1b) The electron spin is I = 1/2. We also know that µ_B/µ_N = m_p/m_e, where m_p is the mass op the proton and m_e the mass of the electron. Hence, µ_B/µ_N = 1836 and g = 3672.
1c) The free neutron g-factor is g = -3.826 and its spin is I = 1/2, then its magnetic moment is µ = -1.913 µ_N = -9.662e-27 J/T.