- #1
akoe
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Homework Statement
For a system of particles at room temperature (use kT = 0.026 eV), the energy of a single particle state is 0.01 eV greater than its chemical potential, so that ε-μ = 0.01 eV. Computer the average occupancy of this single particle state, as well as the probability of the state containing 0, 1, or 2 particles, assuming the particles obey Maxwell-Boltzmann statistics.
Homework Equations
Ztot=[itex]\frac{1}{N!}[/itex]Z1N
The Attempt at a Solution
I've already solved the first part of the problem - the part about the average occupancy, but I'm having trouble calculating the probability of a state containing n particles. I am pretty sure that it should be P(n)=[itex]\frac{1}{Z}[/itex]e[itex]^{-nε/kT}[/itex], because if we view the single particle states as the energies allowed, then if the single particle state has n particles in it, the energy of the state (total) is nε. But, I'm not really sure which Z to use here... is it Zint, Ztot, or Z1? Also, I don't know ε, just ε-μ, so I think that my expression needs to involve those variables...