# Heat Capacity of a two-levels system.

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Consider a 2-level system with an energy splitting between the upper and lower level. Using Boltzmann statistics, show that the heat capacity of the 2-level system equals: (see attachment for equation)

What happens in the limit of (see attachment for equation)

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#### Solution Preview

Before you look at the solutions, you can try to solve the problem the following way:

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<br>Set one energy level to zero, so the other is kD.

<br>Now use the Boltzmann statistics to find what is the probability of ...

#### Solution Summary

The solution shows how to find the system's partition function and how to obtain the desired parameter.

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