Periodic surfaces of simple and complex topology: comparison of scattering patterns

We compute scattering patterns for six triply periodic minimal surfaces formed in oil/surfactant/water solutions: Three surfaces of a simple topology, Schwarz P (Im3m), Schwarz D-diamond (Pn3m), and Schoen G-gyroid (Ia3d), and three surfaces of a complex topology, SCN1 (Im3m), CD (Pn3m), and GX6 (Ia3d). We show that in the case of the complex structures, scattering intensity is shifted towards the higher hkl peaks. This might cause their misidentification and wrong estimates about the cell size of the structure.