(10 points) A crystal contains N atoms which possess spin 1 and magnetic moment mu . Placed in a
uniform magnetic field B the atoms can orient themselves in three directions: parallel,
perpendicular and antiparallel to the field. If the crystal is in thermal equilibrium at temperature T
find an expression for its mean magnetic moment M, assuming that only the interactions of the
dipoles with the field need be considered. What is the magnetic moment of the crystal (i) when
placed in a weak field at high temperature, (ii) when placed in a strong field at low temperature?
l.10 points A crystal contains N atoms which possess spin l and magnetic moment u.Placed in
uniform magnetic field B the atoms can orient themselves in three directions: parallel
perpendicular and antiparallel to the field. If the crystal is in thermal equilibrium at temperature T
find an expression for its mean magnetic moment M, assuming that only the interactions of the
dipoles with the field need be considered. What is the magnetic moment of the crystal () when
placed in a weak field at high temperature,(ii) when placed in a strong field at low temperature?