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Acta Crystallographica Section A Acta Crystallographica Section A FOUNDATIONS AND ADVANCES |
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![[Figure 11]](/a/issues/2025/02/00/uv5030/uv5030fig11mag.jpg)
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| Figure 11 (a) Any lattice node of L1 (blue) is transformed into any lattice node of L2 (red) by a rotation of ![[2\delta+\Phi]](https://journals.iucr.org/10.1107/S2053273324012087/teximages/uv5030fi363.svg){kind=small} around a node of the corresponding Φ-lattice; therefore these rotation centers, each being a node of a given Φ-lattice, are aligned along the perpendicular bisector of the considered pair, as
shown here for the square system. (b) The prefactors of the Φ-lattices associated to a given rotation order n align along a straight line of angle δ with the vertical axis. This property is directly observed on the drawing of the
Φ-lattices for ![[\tau+t_{\Phi} = 0]](https://journals.iucr.org/10.1107/S2053273324012087/teximages/uv5030fi364.svg){kind=small} where the prefactors Ap are then the locations of the nodes (1, 0) of each Φ-lattice, here for the square system with δ = 17.56° ( L1 in blue and L2 in red) with the four Φ-lattices: ![[\Phi = 0]](https://journals.iucr.org/10.1107/S2053273324012087/teximages/uv5030fi199.svg){kind=small} (green), π/2 (orange), π (purple) and 3π/2 (brown). |
![[Figure 11]](https://journals.iucr.org/10.1107/S2053273324012087/uv5030fig11.jpg)
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FOUNDATIONS ADVANCES |
ISSN: 2053-2733
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