Physics · Statistical Mechanics
Five indistinguishable atoms reside on the five distinguishable vertices of a regular pentagon. Each atom can be in state g (energy 0) or state e (energy E). If neighboring atoms cannot both occupy state e, the partition function Z(T) of the system at temperature T is:
- 11 + 5 e-E/(kBT) + 5 e-2E/(kBT)✓
- 21 + 5 e-E/(kBT) + 10 e-2E/(kBT)
- 31 + 5 e-E/(kBT) + 3 e-2E/(kBT)
- 41 + 5 e-E/(kBT) + 2 e-2E/(kBT)
Correct answer
1 + 5 e-E/(kBT) + 5 e-2E/(kBT)
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