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NAME: PHGN341: Thermal Physics Quiz 6 March 29, 2013 1. Consider a spin-1 paramagnetic atom in thermal equilibrium with a reservoir at temperature, T, in an external magnetic field, B0 . The energy of such an atom in an external magnetic field is U = −µ0 B0 mj , where mj is the quantum number for the z-component of the angular momentum and µ0 is the Bohr magneton. (Recall that a spin-1 atom can have three possible m-substates: mj = {+1, 0, −1}.) a. Find the partition function for the atom. b. Find the average energy of the atom. c. What is the atom’s average magnetic moment, µ = µ0 mj ? 1