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Figure 1
A schematic diagram showing the different possible structures generated by the layered ordering of cations on the perovskite A site, followed by the tilting of the corner-linked BX6 octahedra. The tilting pattern is indicated using Glazer's notation, as explained in the text. The space group is shown, along with the approximate cell dimensions in terms of the cell edge of the [Pm\bar 3m] parent – angles not required to be 90° are approximately 90°. The lines on the schematic indicate group–subgroup relationships among the 19 space groups shown – a dashed line indicates that, according to Landau theory, the corresponding phase transition cannot be continuous. This figure has been reproduced from Howard & Stokes (2004BB4).

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