Misorientation#

class orix.quaternion.Misorientation(data: Union[ndarray, Misorientation, list, tuple], symmetry: Optional[Tuple[Symmetry, Symmetry]] = None)[source]#

Misorientation object.

Misorientations represent transformations from one orientation, \(g_1\) to another, \(g_2\): \(g_2 \cdot g_1^{-1}\).

They have symmetries associated with each of the starting orientations.

Parameters:

Attributes

Return or set the crystal symmetries.

Methods

`Misorientation.equivalent`([grain_exchange])	Return the equivalent misorientations.
`Misorientation.flatten`()	Return a new rotation instance collapsed into one dimension.
`Misorientation.from_align_vectors`(other, initial)	Return an estimated misorientation to optimally align two sets of vectors, one set in each crystal.
`Misorientation.from_scipy_rotation`(rotation)	Return misorientations(s) from `scipy.spatial.transform.Rotation`.
`Misorientation.get_distance_matrix`([...])	Return the symmetry reduced smallest angle of rotation transforming every misorientation in this instance to every other misorientation [Johnstone et al., 2020].
`Misorientation.map_into_symmetry_reduced_zone`([...])	[Deprecated] Return equivalent transformations which have the smallest angle of rotation as a new misorientation.
`Misorientation.reduce`()	Return the reduced misorientations with the smallest rotation angles.
`Misorientation.reshape`(*shape)	Return a new object containing the same data with a new shape.
`Misorientation.scatter`([projection, figure, ...])	Plot misorientations in axis-angle space or the Rodrigues fundamental zone.
`Misorientation.squeeze`()	Return a new object with length one dimensions removed.
`Misorientation.transpose`(*axes)	Return a new object containing the same data transposed.

Examples using `Misorientation`#