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Mixtures of water, oils, amphiphiles, and salt may sep-arate into threecoexisting liquid phases within a welldefined temperature interval, the mean temperature of which depends sensitively but systematically on the nature of the oil and of theamphiphile and on the salt concen-tration. At the mean temperature of this interval one finds—for thermodynamic reasons—a maximum of the mutual solubility between water and oil and a minimum of the interfacial tension between the aqueous and the oil-rich phase. As both properties are of considerable interest for both research and industry, we ask where to find the three-phase bodies. The phase behavior of mix-tures with nonionicamphiphiles can be considered as being clarified. 1, 2 In this paper the nonionic amphiphiles (C) are replaced by ionic amphiphiles (D). Accordingly, we consider quaternary mixtures H20 (A)-oil (B)-ionic am-phiphile (D)-salt (E). Again we keep …