Studies of the crystal structure and ionic transport in materials containing beta alumina and related phases are reported. Beta alumina has the nominal formula MAl11O17, where M is Li, Na, K, NH4, Ag, or Tl. The structure of the adjacent M2O-rich phase was studied and found to have an analogous structure consisting of dense blocks with the gamma alumina structure separated by low-density bridging layers containing M ions. Unusually rapid ionic transport along these bridging layers was found, and defect models appropriate to such systems discussed. (Author)