Table 3.

Bragg peak ratios for LLCs

Mesophase	Peak ratios
Lamellar	1:2:3:4, etc
Cubic micellar (fcc)	√3:√4:√8:√11:√12, etc
Cubic micellar (bcc)	√2:√4:√6:√8:√10, etc
Bicontinuous cubic (Im3m)	√2:√4:√6:√8, etc
Bicontinuous cubic (Pn3m)	√2:√3:√4:√6:√8, etc
Bicontinuous cubic (Ia3d)	√6:√8:√14:√16:√18:√20, etc
Hexagonal	√3:√4:√7:√12, etc

Notes: Im3m indicates primitive phase, Pn3m indicates double diamond phase, and Ia3d indicates gyroid phase.

Abbreviations: bcc, body-centered cubic; fcc, face-centered cubic; LLC, lyotropic liquid crystal.