You have a quantum spin-1/2 dimer with exchange energy of J, which consists of a single spin = 0 ground state of energy -3/4J and a triply degenerate excited S = 1 state of 1/4J. Write out the partition function, probability of each state, and the average energy of the system.

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You have a quantum spin-1/2 dimer with exchange energy of J, which consists of a single spin = 0 ground state of energy -3/4J and a triply degenerate excited S = 1 state of 1/4J. Write out the partition function, probability of each state, and the average energy of the system. 

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