  Spin-flip Eliashberg function $\alpha_S^2F$ and temperature-dependent spin
relaxation time $T_1(T)$ are calculated for aluminum using realistic
pseudopotentials. The spin-flip electron-phonon coupling constant $\lambda_S$
is found to be $2.5\times 10^{-5}$. The calculations agree with experiments
validating the Elliott-Yafet theory and the spin-hot-spot picture of spin
relaxation for polyvalent metals.
