  Recent experimental results for the magnetic hyperfine field B_{\rm hf} at
the nuclei of \textit{s-p} impurities such as ${}^{119}$Sn in intermetallic
Laves phases RM_2 (R = Gd, Tb, Dy, Ho, Er; M = Fe, Co) and ${}^{111}$Cd in
RCo_{2}, the impurity occupying a $R$ site indicate that the ratio B_{\rm
hf}/\mu_{3d} exhibits different behavior when one goes from RFe_2 to RCo_2. In
this work, we calculate these local moments and the magnetic hyperfine fields.
In our model, B_{\rm hf} has two contributions: one arising from the $R$ ions,
and the other arising from magnetic 3d-elements; these separate contributions
allow the identification of the origin of different behavior of the ratio
mentioned above. For {}^{111}Cd in RCo_2 we present also the contributions for
B_{\rm hf} in the light rare earth Pr, Nd, Pm, Sm compounds. For the sake of
comparison we apply also the model to {}^{111}Cd diluted in RNi_2. Our
self-consistent magnetic hyperfine field results are in good agreement with
those recent experimental data.
