  Recently, for spin $S=5/2$ impurities quite different size dependence of the
Kondo contribution to the resistivity was found experimentally than for S=2.
Therefore previous calculation about the effect of the spin-orbit-induced
magnetic anisotropy on the Kondo amplitude of the resistivity is extended to
the case of $S=5/2$ impurity spin which differs from the integer spin case as
the ground state is degenerated. In this case the Kondo contribution remains
finite when the sample size goes to zero and the thickness dependence in the
Kondo resistivity is much weaker for Cu(Mn). The behavior of the Kondo
coefficient as a function of the thickness depends on the Kondo temperature,
that is somewhat stronger for larger $T_K$. Comparing our results with a recent
experiment in thin Cu(Mn) films, we find a good agreement.
