The relaxation time of the magnetization of a big magnetic molecule is
evaluated. Isotropic exchange is assumed to be dominant, resulting in
a fixed spin modulus s (equal to 20 in the case of interest). A pertu
rbation of the form AS(z)2 results from spin-orbit coupling and produc
es an energy barrier As2 which separates positive and negative values
of S(z). Spin-phonon interactions are treated by second-order perturba
tion theory. An upper limit of the pre-exponential factor in the Arrhe
nius law is obtained, which is consistent with the very large experime
ntal value.