In a paramagnet with spin-1 dipoles, each dipole can take on 3 stages: -1, 0 and +1, relative to the direction of the magnetic field, with energies -(chem poten)B, 0, and +(chem poten)B, respectively. Consider a spin-1 dipole in thermal equilibrium with a reservoir at themperature T.
A) Derive an expression for the partition function for this dipole.
B) Give expressions for the probabilities of the dipole being in each state.
C) Determine and interpret the low and high temperature limits for your answers to part (b).