The thermalization of particle kinetic motion by binary collisions is considered for a plasma withkT∼(10–100)mc2, wheremis the electron mass. At this temperature, the principal mechanism for relaxation of electron motion is via radiationless electron‐electron collisions (Mo&slash;ller scattering). Ions are nonrelativistic, but are energetic enough so that their Coulomb scattering can be treated in the Born approximation. Relaxation times are computed and Boltzmann‐equation Fokker–Planck operators are derived for the various binary‐collision processes. The expression for the rate of kinetic energy exchange between electron and ion gases is derived for the case where the gases are at different temperatures.