We give the complete set of spontaneous [1/200] antiferromagnetic stru
ctures which can develop on a simple cubic lattice. By means of fourie
r analysis and molecular field approximation, we then discuss the rela
tion between these structures' stability and the dispersion curves of
the quadrupolar interactions. The different types of structures and th
eir relative energies are also considered for the case of field-induce
d structures. The results of this work give a framework for the study
and understanding of the H-T phase diagrams of [1/200] cubic antiferro
magnets.