Recombination-weighted electron energy
= Recombination-weighted electron energy
{title2=$\langle E\rangle_{\rm rec}$}
The mean <kinetic energy> removed per recombination is $\langle E\rangle_{\rm rec}=\int E f_T(E)\sigma_{\rm rec}(E)v(E)\,dE/\int f_T(E)\sigma_{\rm rec}(E)v(E)\,dE$. The capture-rate weighting generally differs from averaging an unselected Maxwell distribution, so $\langle E\rangle_{\rm rec}=3k_BT/2$ is only an additional approximation.