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
Section A FOUNDATIONS AND ADVANCES

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Figure 12
EBSD map of copper lines with a `bamboo-like' structure. The conventions for the colours of the boundaries are the same as that of Fig. 10

. The TRDs are reconstructed by ignoring only the Σ3 and Σ9 boundaries. The two `assumed' TRDs in purple and green in the square on the bottom left part of the image (reported with higher magnification in the upper right part of the figure) are separated by Σ81 and higher-order Σ3ⁿ operators. For one part of the boundary, the rotations are R₂₃ = (59.3°, [ $[\bar1]$ 10]), R₃₁ = (38.1°, [ $[\bar1\bar41]$ ]) and R₂₁ = (43.2°, [ $[4\bar1\bar1]$ ]). These are close to the Σ3, Σ81b and Σ3⁵g operators, respectively. Their composition verifies the groupoid composition Table 3

. The same verification was done along the whole boundary. We conclude that these two TRDs are in fact only one TRD.

FOUNDATIONS
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ISSN: 2053-2733

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

doi:10.1107/S0108767306044291

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