Scientific blog
May 
Wednesday, 4 June, 2014, 08:50
Posted by Piotr Drzymala
In this study we adopted the Rodriguez parameterization for description of preferred twin variants in the orientation space. The Rodriguez-Frank orientation space for hexagonal 6/mmm lattice filled with ca. 〖10〗^4 vectors is presented in Fig. 2 [10,11]. The main axes of this coordinate system (R1, R2 and R3) correspond to sample's coordinate system (X, Y, Z). The R1 and R2 values are restricted to range ±1 and R3 is restricted to range ±(2-√3). The presented vectors have minimum length of 0.7 and can be considered as crystallites' orientations transforming sample coordinate systems to crystal ones by the rotations around these vectors by angles between 69.98° and 93.84° [11]. The orientation distribution presented in Fig. 1 is characteristic for extruded hexagonal metals and alloys (like Ti and Mg and its alloys [6,12]).
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