Crystallography of quasiperiodic moiré patterns in homophase twisted bilayers

Quiquandon, M.; Gratias, D.

doi:10.1107/S2053273324012087

Acta Crystallographica Section A
Acta Crystallographica
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Figure 3
Example of a bilayer of a p4mm truncated square structure (inset on top right) with half rotation $[\delta = \pi/8-\beta]$ in (a) and $[\delta = \pi/8+\beta]$ in (b) where β = 2° and τ = (0, 0). Although the global twist rotations differ by 8° between (a) and (b), the moiré patterns are identical and rotated by $[\Phi = \pi/4]$ from each other, as shown on images and reciprocal lattices on the right.