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Figure 15
Example of a bilayer made of two square lattices related by a dilatation–rotation operation inducing a coincidence lattice: here the node (2,1) of Λ (in red) is superimposed on the node (3,1) of [\Lambda^{\prime}] (in blue). The coincidence lattice is thus [{\cal T}_{\Lambda} = \{(2,1),(-1,2)\},\Sigma = 5] expressed in the unit cell of Λ or equivalently [{\cal T}_{\Lambda^{\prime}} = \{(3,1),(-1,3)\},\Sigma^{\prime} = 10] expressed in the unit cell of [\Lambda^{\prime}]; the dilatation is [\varrho = 1/\sqrt{2} ] and the rotation [\alpha = \arctan 1/7 ] = 8.1301°.

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ISSN: 2053-2733
Volume 79| Part 4| July 2023| Pages 301-317
https://doi.org/10.1107/S2053273323003662
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