Sodium metal is paramagnetic with a dimensionless magnetic susceptibility (?) of 8.48×10-6 . The paramagnetism of sodium metal is due to the rotation of some of the spins of the metal’s free electrons into the direction of the applied magnetic field. The applied magnetic field is equal to 1×105 A/m. Sodium metal is BCC with a lattice parameter of 0.428×10-9 m, and sodium is from Group 1A of the periodic table.
(a) What is the intensity of magnetization or the dipole moment per unit volume?
(b) For sodium, what is the number of atoms per unit volume, and what is the number of free electrons per unit volume?
(c) What is the dipole moment per sodium atom?
(d) Assuming that all of the magnetic susceptibility is due to the orientation of free electron spins, what is the net number of free electron spins per atom oriented in the direction of the applied magnetic field?
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