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A t heor y of dielectric relaxa t ion is given for t wo simple models where t he dipoles may occupy orientat ional sites arranged in t hree dimensions. I n t he first model, t he di pole may poin t t oward t he corn ers of a regula r tetrahedron, and in t he second, toward t he faces of a cube. Both models are simplified to the extent that only one of t he sites can differ in cnergy fro m all t he others. The calculations show t hat these models lead to a discrete set of dielectri c relaxa t ion t imes when t he sites are not equi valent. The effect of t he set of relaxat ion t imes on t he characteristics of t he dielectric relaxa tion spectru m is examined . The relaxat ion t imes a re always suffi cient ly close t ogether so t hat t he dielectric loss is confined t o a s ingle r egion . H owever, the sepa ration of t he relaxation t imes is suffi cient to cause t he d ielect ric loss peak to be considerably broader t han that predi cted by t he D ebye equations. In addit ion , it is found t hat the loss maximum will frequent ly be asymmetrical. The variation of the dielectric constant with te mperature, an d t he breadt h and asymmetry of t he loss peaks are discussed.

Dielectric relaxation for spherical molecules in a crystalline field: Theory for two simple models