Figure 4
From: Cationic vacancies as defects in honeycomb lattices with modular symmetries
The honeycomb lattice of cations depicting the action of the \(J_1\) generator of \(\mathrm{SL}_2({\mathbb {Z}})\) on the primitive vectors. (a) The primitive vectors dx and dy of the primitive cell of the honeycomb lattice, where \(dx/dy = 1\) is the number of pairs of cations enclosed within the primitive cell; (b) \(J_1\) transformation corresponding to the re-scaling of the dx primitive vector and hence an expansion of the unit cell, \(dx/dy = 2\).
