Consider a system with only two energy levels with energies E0 = 0 and E1 = 1.3806 × 10–23 J. The level E0 has degeneracy 2 and the level E1 has degeneracy 3. The partition function at T = 1 K is (KB = 1.3806 × 10–23 JK–1) :

1
z = 2e0 + 3e–1 
2
z = 6e–3 
3
z = 6(e0 + e–1)
4
z = 6e–1 

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