445seems that an oblate shape must be ruled out. Table I11 gives the values of the parameters giving the best fits. The electron densities given in the table are obtained from fits. The obtained values must be close to the theoretical ones calculated by using the partial volumes of the codstituents of the core or the polar region of the micelle. It can be observed, on the experimental data, that the maximum located at s i= 0.02 A-' has disappeared. This is due to the decrease of the electron density of the polar region (and thus of the contrast between this region and the water), owing to the location of the alcohol in this region. The axial ratio of the whole particle, for instance, for the most concentrated binary solution, is found to be 4.2 if 2 wt% alcohol is added. This seems to agree with the viscosity measurements: addition of a little amount of alcohol to binary solutions induces a break in the variation of 9. It is reasonable to think that oblate aggregates with small ellipticity must not give such a behavior.For the most concentrated solutions, for which the aggregation number seems to reach a limit, the experimental data can be fitted by using the measured aggregation numbers. Moreover, if one considers that the aggregation number is underestimated, it seems that oblate objects are still incompatible. Indeed, if one overestimates the N value of, for instance, 25%, prolate ellipsoids also give satisfying results.In the studied range of concentration, the axial ratio of the aggregate reaches a value of about 7, which gives a total length of 350 A if the smallest dimension is equal to 50 A. (The volume fraction of micelles here is of the order of 15%.)
ConclusionCombination of several experimental techniques, and especially small-angle X-ray scattering and fluorescence probe study, allows us to obtain the size and the shape of the micelles in ternary systems involving alcohol. Although in the binary solutions one cannot affirm whether or not the aggregates are deformed, in ternary systems the oblate shape seems to be ruled out, while prolate ellipsoids lead to self-consistent results. It must be emphasized that it is the knowledge of the aggregation number and the fact that our experiments are mean-resolution experiments (and not low-resolution ones) which allow US to be almost sure that the aggregates are elongated, even in binary systems. The phase diagram of the n-dodecylbetaine is very similar to those obtained with ionic surfactants, alcohol and brine. The trend in the micellar sizes and shapes with the change in alcohol concentration can thus be useful in the study of the structure and the stability of the isotropic and ordered phases found in all these systems.Acknowledgment. This research has received partial financial support from PIRSEM (CNRS) under AIP 2004.The syntheses and characterization of gallo-and aluminogallosilicates with the zeolite ABW framework, LiGaXA1,,SiO4.H20 with x = 0,0.5, and 1.0, are described. The structure of the hydrated gallosilicate, x = 1 .O, has been determined at 19...