An account is given of the various processes of electron spin relaxation concerned in establishing thermal equilibrium in dielectric crystals containing paramagnetic ions of the transition elements. The discussion is illustrated by reference to the experimental results, and includes some consideration of the possible role of impurities in those cases where the observed relaxation has had no ready explanation in terms of accepted mechanisms. The references given are intended as a guide to, rather than a comprehensive summary of, the vast literature which the subject now possesses.