get_sample_reduced_fundamental#

orix.sampling.get_sample_reduced_fundamental(resolution: float = 2, method: str | None = None, point_group: Symmetry | None = None) Rotation[source]#

Return a grid of rotations that rotate the Z-vector (0, 0, 1) into the fundamental sector of a point group’s Laue group.

The rotations are constrained in that the first Euler angle is \(\phi_1 = 0^{\circ}\).

Parameters:
resolution

The characteristic distance between a rotation and its neighbour in degrees. Default is 2 degrees.

method

Name of method to mesh the unit sphere. See orix.sampling.sample_S2() for options. If not given, a suitable default is chosen given by the crystal system of the given point group.

point_group

Point group with symmetry operations that define the fundamental_sector on the unit sphere. If not given, rotations that rotate the Z-vector onto the whole sphere are returned.

Returns:
R

Rotations of shape (n, 3).

Examples using get_sample_reduced_fundamental#

Rotations mapping the fundamental sector on S2

Rotations mapping the fundamental sector on S2