154.

By the determination of $p$ the question regarding the properties of the state of statistical equilibrium between the system of the oscillators and the vibration exciting them receives a general answer. For from [eqn:(265)] (265) we get $η = \frac{1}{1 + p 𝖨}$ and further from [eqn:(262)] (262) $R_{n} = \frac{1}{ϵ} \frac{(p 𝖨)^{n}}{(1 + p 𝖨)^{n + 1}} . \Label [e q n] (269) \upshape (269)$ Hence in the state of stationary equilibrium the number of oscillators whose energy lies between $n h ν$ and $(n + 1) h ν$ is, from equation [eqn:(253)] (253), $N \int_{0}^{ϵ} R_{n} d ρ = N R_{n} ϵ = N \frac{(p 𝖨)^{n}}{(1 + p 𝖨)^{n + 1}} \Label [e q n] (270) \upshape (270)$ where $n = 0$ , $1$ , $2$ , $3, \dots$ .

[Law of the Normal Distribution Of Energy] IVThe Law of the Normal Distribution Of Energy. Elementary Quanta Of Matter and Electricity

180