Experimental data on shallow donor muonium states in the II-VI semiconducto
r compounds CdS, CdSe, CdTe, and ZnO are presented. These are characterized
by very weak hyperfine interactions amounting to approximately 10(-4) of t
he free-atom value, and by donor levels with binding energies comparable to
those calculated on the hydrogenic model of the shallow centers. The data
are discussed in terms of a model generalizing the knowledge of muonium and
hydrogen states in tetrahedrally bonded semiconductors. Within this model
the shallow muonium state is attributed to muonium bound to the anion of th
e II-VI compound and located at the antibonding site or close to it in the
bond direction.