The phase behavior of a very dilute aqueous solution of a sodium decyl sulfate (SDeS)−decyltrimethylammonium bromide (DeTAB) mixture was investigated by the surface tension measurement and partly
by the density measurement. The surface tension γ and density ρ were measured as functions of total
molality of surfactants m̂ and composition of DeTAB X̂
2. Break points were observed on the curves and
identified as the critical vesicle concentration and the concentrations of the initial and final points of the
vesicle−micelle coexisting region, respectively. These break points were plotted against X̂
2, analyzed
thermodynamically, and then compared with the ones in the diagrams predicted from a simple model. The
composition of DeTAB in the vesicles at the critical vesicle concentration (cvc) was obtained from the cvc
versus X̂
2 curve, and it was found out to be 0.5 at almost all X̂
2 values. From the other break point versus
X̂
2 plots, the composition region of the vesicle−micelle coexistence in the phase diagram was suggested
to be from 0.62 to 0.65. Furthermore, vesicle formation was clearly indicated to take place even at X̂
2 =
0.9999, and therefore, the vesicle−micelle transition on the critical aggregation concentration Ĉ versus
X̂
2 curve was expected to sit between X̂
2 = 0.9999 and 1.