1.1.4. Lattice orientation


Orientation convention

Figure 1: $z$, $x^\prime$, $z^{\prime\prime}$ (Bunge) rotation

Lattice orientation is given in Bunge (1982) Euler angles $\varphi_1$, $\phi$, and $\varphi_2$. They follow the rotation convention $z$, $x^\prime$, $z^{\prime\prime}$.

Figure 2: Cubic unit cell in laboratory coordinate system $x$, $y$, $z$
  • rotated by $\varphi_1$ around $x$ (blue system in Fig. 1),
  • additionally rotated by $\phi$ around $x^\prime$ (green system in Fig. 1),
  • and finally rotated by $\varphi_2$ around $z^{\prime\prime}$ (yellow system in Fig. 1).

Topic attachments
I Attachment Action Size Date Who Comment
unitcell_cubic_0_0_0.pngpng unitcell_cubic_0_0_0.png manage 12 K 26 Apr 2013 - 07:08 PhilipEisenlohr cubic unitcell unrotated
unitcell_cubic_15_0_0.pngpng unitcell_cubic_15_0_0.png manage 12 K 26 Apr 2013 - 07:12 PhilipEisenlohr cubic unitcell rotated 15 deg around z
unitcell_cubic_15_30_0.pngpng unitcell_cubic_15_30_0.png manage 13 K 26 Apr 2013 - 07:14 PhilipEisenlohr cubic unitcell rotated 15, 30 deg around z, x'
unitcell_cubic_15_30_15.pngpng unitcell_cubic_15_30_15.png manage 13 K 26 Apr 2013 - 07:15 PhilipEisenlohr cubic unitcell rotated 15, 30, 15 deg around z, x', z''
Topic revision: r2 - 26 Apr 2013, PhilipEisenlohr


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