Layers of silver and thallium halides have been evaporated, in vacuo, on to cleavage surfaces of rocksalt, potassium bromide, magnesium oxide and mica, at various substrate temperatures. These layers have been studied by means of electron diffraction. Examples of both high and low inter-atomic misfits between the substrate and the oriented overgrowth are found. In the case of silver chloride on potassium bromide, a chemical reaction occurred between the substrate and the deposit. Thallium chloride crystallized in an abnormal rocksalt type structure on potassium bromide, but had its normal caesium chloride type structure on the other substrates used.