Multiple twinning in cubic crystals: geometric/algebraic study and its application for the identification of the Σ3n grain boundaries

Cayron, C.

doi:10.1107/S0108767306044291

Acta Crystallographica Section A
Acta Crystallographica
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Figure 10
EBSD map around a void (the white disc) situated at the junction of four grains. In the figure, the Σ3 boundaries are in red, the Σ9 in yellow, the Σ27 in blue and the Σ81 in green. The higher-order Σ3ⁿ with n ≥ 5 and the `random' boundaries are in black. The grains around the void are linked by the following rotations: R₂₁ = (28.4°, [2 $[\bar 1\bar 4]$ ]), R₂₃ = (59.8°, [ $[\bar 1 \bar 1]$ 1]), R₃₄ = (35.9°, [2 $[\bar 1]$ 0]), R₄₁ = (38.4°, [ $[\bar 10\bar 1]$ ]), R₁₃ = (48.9°, [ $[\bar 1\bar 4 4]$ ]) and R₂₄ = (38.7°, [ $[\bar 2 4 1]$ ]). The rotation angles and axes are given by the Channel5 software (the reported axes are not the true ones but axes with indices lower than 10 and close to the true ones with a tolerance angle of 5°). The identification of these experimental rotations to some Σ3ⁿ operators requires the use of the groupoid composition Table 3

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ISSN: 2053-2733

Volume 63| Part 1| December 2007| Pages 11-29

doi:10.1107/S0108767306044291

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