[^1]:The data in this plot is the same as what Einstein used, but the curve in this plot is improved compared to what Einstein did, see [this blog post](https://quantumtinkerer.tudelft.nl/blog/footsteps-of-einstein/) for the backstory.
## Exercises
### Exercise 1: Heat capacity of a classical oscillator.
2. Write down the total energy of lithium assuming that all $^6$Li atoms are in $n=2$ vibrational state, and all $^7$Li atoms are in $n=4$ vibrational state.
3. Write down the total energy of lithium at a temperature $T$ by modifying the Einstein model.
4. Compute the heat capacity of lithium as a function of $T$.
[^1]:The data in this plot is the same as what Einstein used, but the curve in this plot is improved compared to what Einstein did, see [this blog post](https://quantumtinkerer.tudelft.nl/blog/footsteps-of-einstein/) for the backstory.