The microstructure of the rectangular phase in the system sodium decyl
sulphate/decanol/water is investigated by means of deuterium NMR. By a
nalysing the lineshape from selectively deuteriated decylsulphate and
decanol, we separate the effects of (i) the shape anisotropy of the ag
gregate cross-section and (ii) the inhomogeneous distribution of the t
wo surfactants within the aggregate. The aspect ratio of the cross-sec
tion is determined to 1.39 +/- 0.01, substantially smaller than previo
us estimates. We find no evidence for anisotropic growth of the aggreg
ate cross-section in the hexagonal phase, as previously suggested. Rat
her, the aggregate shape appears to change abruptly at the hexagonal-r
ectangular phase transition with little change (with temperature) ther
eafter. The distribution of decylsulphate and decanol within the aggre
gates of the rectangular phase is highly non-uniform; the decanol conc
entration is 3 times higher in the central lamellar region than in the
curved edges, while the decylsulphate accumulates in the curved regio
ns. This molecular segregation can be rationalized in terms of electro
static interactions within and between the aggregates.