- #1

center o bass

- 560

- 2

$$\frac{n_i}{n} = \frac{1}{Z} e^{- \beta \epsilon_i},$$

where ##n_i, n, \epsilon_i## respectively denotes the number of particles in the energy level ##\epsilon_i##, the total number of particles, and the energy level ##\epsilon_i##.

Now, it is often just taken out of thin air that ##\beta = k T## where ##T## is temperature and ##k## is the Boltzmann constant -- but this surely can be derived.

My question is how can we derive this fact?