Figure 2.

(a) From an ensemble of SAXS patterns, a three-dimensional q-space intensity-correlation function is generated. This correlation function is transformed into a three-dimensional real-space PADF. In this ensemble, we show a representative SAXS pattern from the hexagonal phase of CTAB–H₂O. Intensity modulations around the ring (as a function of ϕ) are weak and the smooth rings indicate the presence of many domains within the beam. (b) Standard SAXS patterns confirm the hexagonal mesophase structure. (c) Close inspection reveals a preferred-orientation effect with characteristic twofold angular peaks. Determination of the (d) magnitude [P(ϕ_max)] and (e) angle (ϕ_max) of the orientation combined to (f) indicate the presence of macroscopic domains with shared orientations. White pixels indicate data points omitted during the filtering stage. Black lines illustrate examples of domains in this sample.