Thermal reaction probability integral ($k{Q}_r=\frac{1}{2\pi \hslash }{\int }_0^{\infty }{e}^{-\beta E}P(E)dE$)

For a one-dimensional channel, $k(T)Q_r=(2\pi \hslash {)}^{-1}{\int }_0^{\infty }{e}^{-\beta E}P(E)dE$. The reactant partition function and any length normalization must be specified.