We present the results of a study of the magnetic susceptibility of ra
n-earth iron garnets, R(3)Fe(5)O(12), with R = Gd, Tb, Dy, Ho, Er and
Yb, using a modified Bethe-Peierls-Weiss (BPW) approximation. The modi
fications enable us to incorporate the six exchange integral constants
necessary to describe three-sublattice systems. We have obtained exce
llent fits to the experimental susceptibilities, from which we determi
ned the exchange constants as parameters. For the case of gadolinium g
arnets, we have also obtained the spin wave dispersion relation consta
nt D, in excellent agreement with the value obtained from an analysis
of the experimental low-temperature specific heat data.