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. 2018 Jun 1;5(Pt 4):417–427. doi: 10.1107/S2052252518006784

Table 1. Summary of the twinning matrices for all 12 monoclinic domains and the form of the reciprocal orientation matrices.

Arrows indicate the polarization rotation direction induced by an [001]-oriented electric field.

D Polarization rotation plane and rotation angle Twinning matrix, T Form of the Inline graphic matrix {004} reflection position XY
M 11 [111] → [001], ρ1 Inline graphic Inline graphic Inline graphic
M 12 [111] ← [100], ρ2 Inline graphic Inline graphic Inline graphic
M 13 [111] ← [010], ρ2 Inline graphic Inline graphic Inline graphic
M 21 Inline graphic Inline graphic Inline graphic Inline graphic
M 22 Inline graphic Inline graphic Inline graphic Inline graphic
M 23 Inline graphic Inline graphic Inline graphic Inline graphic
M 31 Inline graphic Inline graphic Inline graphic Inline graphic
M 32 Inline graphic Inline graphic Inline graphic Inline graphic
M 33 Inline graphic Inline graphic Inline graphic Inline graphic
M 41 Inline graphic Inline graphic Inline graphic Inline graphic
M 42 Inline graphic Inline graphic Inline graphic Inline graphic
M 43 Inline graphic Inline graphic Inline graphic Inline graphic