How to use the orix.quaternion.symmetry.Symmetry.from_generators function in orix
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pyxem / orix / orix / quaternion / symmetry.py View on Github 
D3x.name = "321"
D3y = Symmetry.from_generators(C3, C2y)
D3y.name = "312"
D3 = Symmetry(D3x)
D3.name = "32"
C3v = Symmetry.from_generators(C3, Csx)
C3v.name = "3m"
D3d = Symmetry.from_generators(S6, Csx)
D3d.name = "-3m"
# Hexagonal
C6 = Symmetry.from_generators(C3, C2)
C6.name = "6"
C3h = Symmetry.from_generators(C3, Cs)
C3h.name = "-6"
C6h = Symmetry.from_generators(C6, Cs)
C6h.name = "6/m"
D6 = Symmetry.from_generators(C6, C2x, C2y)
D6.name = "622"
C6v = Symmetry.from_generators(C6, Csx)
C6v.name = "6mm"
D3h = Symmetry.from_generators(C3, C2y, Csz)
D3h.name = "-6m2"
D6h = Symmetry.from_generators(D6, Csz)
D6h.name = "6/mmm"
# Cubic
T = Symmetry.from_generators(C2, _cubic)
T.name = "23"
Th = Symmetry.from_generators(T, Ci)
Th.name = "m-3"
O = Symmetry.from_generators(C4, _cubic, C2x)Csx.name = "m11"
Csy = Symmetry([(1, 0, 0, 0), (0, 0, 1, 0)])
Csy.improper = [0, 1]
Csy.name = "1m1"
Csz = Symmetry([(1, 0, 0, 0), (0, 0, 0, 1)])
Csz.improper = [0, 1]
Csz.name = "11m"
Cs = Symmetry(Csz)
Cs.name = "m"
# Monoclinic
C2h = Symmetry.from_generators(C2, Cs)
C2h.name = "2/m"
# Orthorhombic
D2 = Symmetry.from_generators(C2z, C2x, C2y)
D2.name = "222"
C2v = Symmetry.from_generators(C2x, Csz)
C2v.name = "mm2"
D2h = Symmetry.from_generators(Csz, Csx, Csy)
D2h.name = "mmm"
# 4-fold rotations
C4x = Symmetry(
[
(1, 0, 0, 0),
(0.5 ** 0.5, 0.5 ** 0.5, 0, 0),
(0, 1, 0, 0),
(-(0.5 ** 0.5), 0.5 ** 0.5, 0, 0),
]
)
C4y = Symmetry((-(0.5 ** 0.5), 0, 0.5 ** 0.5, 0),
]
)
C4z = Symmetry(
[
(1, 0, 0, 0),
(0.5 ** 0.5, 0, 0, 0.5 ** 0.5),
(0, 0, 0, 1),
(-(0.5 ** 0.5), 0, 0, 0.5 ** 0.5),
]
)
C4 = Symmetry(C4z)
C4.name = "4"
# Tetragonal
S4 = Symmetry.from_generators(C2, Ci)
S4.name = "-4"
C4h = Symmetry.from_generators(C4, Cs)
C4h.name = "4/m"
D4 = Symmetry.from_generators(C4, C2x, C2y)
D4.name = "422"
C4v = Symmetry.from_generators(C4, Csx)
C4v.name = "4mm"
D2d = Symmetry.from_generators(D2, _mirror_xy)
D2d.name = "-42m"
D4h = Symmetry.from_generators(C4h, Csx, Csy)
D4h.name = "4/mmm"
# 3-fold rotations
C3x = Symmetry([(1, 0, 0, 0), (0.5, 0.75 ** 0.5, 0, 0), (-0.5, 0.75 ** 0.5, 0, 0)])
C3y = Symmetry([(1, 0, 0, 0), (0.5, 0, 0.75 ** 0.5, 0), (-0.5, 0, 0.75 ** 0.5, 0)])
C3z = Symmetry([(1, 0, 0, 0), (0.5, 0, 0, 0.75 ** 0.5), (-0.5, 0, 0, 0.75 ** 0.5)])D3d.name = "-3m"
# Hexagonal
C6 = Symmetry.from_generators(C3, C2)
C6.name = "6"
C3h = Symmetry.from_generators(C3, Cs)
C3h.name = "-6"
C6h = Symmetry.from_generators(C6, Cs)
C6h.name = "6/m"
D6 = Symmetry.from_generators(C6, C2x, C2y)
D6.name = "622"
C6v = Symmetry.from_generators(C6, Csx)
C6v.name = "6mm"
D3h = Symmetry.from_generators(C3, C2y, Csz)
D3h.name = "-6m2"
D6h = Symmetry.from_generators(D6, Csz)
D6h.name = "6/mmm"
# Cubic
T = Symmetry.from_generators(C2, _cubic)
T.name = "23"
Th = Symmetry.from_generators(T, Ci)
Th.name = "m-3"
O = Symmetry.from_generators(C4, _cubic, C2x)
O.name = "432"
Td = Symmetry.from_generators(T, _mirror_xy)
Td.name = "-43m"
Oh = Symmetry.from_generators(O, Ci)
Oh.name = "m-3m"
_groups = [
C1,D4h = Symmetry.from_generators(C4h, Csx, Csy)
D4h.name = "4/mmm"
# 3-fold rotations
C3x = Symmetry([(1, 0, 0, 0), (0.5, 0.75 ** 0.5, 0, 0), (-0.5, 0.75 ** 0.5, 0, 0)])
C3y = Symmetry([(1, 0, 0, 0), (0.5, 0, 0.75 ** 0.5, 0), (-0.5, 0, 0.75 ** 0.5, 0)])
C3z = Symmetry([(1, 0, 0, 0), (0.5, 0, 0, 0.75 ** 0.5), (-0.5, 0, 0, 0.75 ** 0.5)])
C3 = Symmetry(C3z)
C3.name = "3"
# Trigonal
S6 = Symmetry.from_generators(C3, Ci)
S6.name = "-3"
D3x = Symmetry.from_generators(C3, C2x)
D3x.name = "321"
D3y = Symmetry.from_generators(C3, C2y)
D3y.name = "312"
D3 = Symmetry(D3x)
D3.name = "32"
C3v = Symmetry.from_generators(C3, Csx)
C3v.name = "3m"
D3d = Symmetry.from_generators(S6, Csx)
D3d.name = "-3m"
# Hexagonal
C6 = Symmetry.from_generators(C3, C2)
C6.name = "6"
C3h = Symmetry.from_generators(C3, Cs)
C3h.name = "-6"
C6h = Symmetry.from_generators(C6, Cs)
C6h.name = "6/m"
D6 = Symmetry.from_generators(C6, C2x, C2y)(0.5 ** 0.5, 0, 0, 0.5 ** 0.5),
(0, 0, 0, 1),
(-(0.5 ** 0.5), 0, 0, 0.5 ** 0.5),
]
)
C4 = Symmetry(C4z)
C4.name = "4"
# Tetragonal
S4 = Symmetry.from_generators(C2, Ci)
S4.name = "-4"
C4h = Symmetry.from_generators(C4, Cs)
C4h.name = "4/m"
D4 = Symmetry.from_generators(C4, C2x, C2y)
D4.name = "422"
C4v = Symmetry.from_generators(C4, Csx)
C4v.name = "4mm"
D2d = Symmetry.from_generators(D2, _mirror_xy)
D2d.name = "-42m"
D4h = Symmetry.from_generators(C4h, Csx, Csy)
D4h.name = "4/mmm"
# 3-fold rotations
C3x = Symmetry([(1, 0, 0, 0), (0.5, 0.75 ** 0.5, 0, 0), (-0.5, 0.75 ** 0.5, 0, 0)])
C3y = Symmetry([(1, 0, 0, 0), (0.5, 0, 0.75 ** 0.5, 0), (-0.5, 0, 0.75 ** 0.5, 0)])
C3z = Symmetry([(1, 0, 0, 0), (0.5, 0, 0, 0.75 ** 0.5), (-0.5, 0, 0, 0.75 ** 0.5)])
C3 = Symmetry(C3z)
C3.name = "3"
# Trigonal
S6 = Symmetry.from_generators(C3, Ci)
S6.name = "-3"S6.name = "-3"
D3x = Symmetry.from_generators(C3, C2x)
D3x.name = "321"
D3y = Symmetry.from_generators(C3, C2y)
D3y.name = "312"
D3 = Symmetry(D3x)
D3.name = "32"
C3v = Symmetry.from_generators(C3, Csx)
C3v.name = "3m"
D3d = Symmetry.from_generators(S6, Csx)
D3d.name = "-3m"
# Hexagonal
C6 = Symmetry.from_generators(C3, C2)
C6.name = "6"
C3h = Symmetry.from_generators(C3, Cs)
C3h.name = "-6"
C6h = Symmetry.from_generators(C6, Cs)
C6h.name = "6/m"
D6 = Symmetry.from_generators(C6, C2x, C2y)
D6.name = "622"
C6v = Symmetry.from_generators(C6, Csx)
C6v.name = "6mm"
D3h = Symmetry.from_generators(C3, C2y, Csz)
D3h.name = "-6m2"
D6h = Symmetry.from_generators(D6, Csz)
D6h.name = "6/mmm"
# Cubic
T = Symmetry.from_generators(C2, _cubic)
T.name = "23"
Th = Symmetry.from_generators(T, Ci)C4v = Symmetry.from_generators(C4, Csx)
C4v.name = "4mm"
D2d = Symmetry.from_generators(D2, _mirror_xy)
D2d.name = "-42m"
D4h = Symmetry.from_generators(C4h, Csx, Csy)
D4h.name = "4/mmm"
# 3-fold rotations
C3x = Symmetry([(1, 0, 0, 0), (0.5, 0.75 ** 0.5, 0, 0), (-0.5, 0.75 ** 0.5, 0, 0)])
C3y = Symmetry([(1, 0, 0, 0), (0.5, 0, 0.75 ** 0.5, 0), (-0.5, 0, 0.75 ** 0.5, 0)])
C3z = Symmetry([(1, 0, 0, 0), (0.5, 0, 0, 0.75 ** 0.5), (-0.5, 0, 0, 0.75 ** 0.5)])
C3 = Symmetry(C3z)
C3.name = "3"
# Trigonal
S6 = Symmetry.from_generators(C3, Ci)
S6.name = "-3"
D3x = Symmetry.from_generators(C3, C2x)
D3x.name = "321"
D3y = Symmetry.from_generators(C3, C2y)
D3y.name = "312"
D3 = Symmetry(D3x)
D3.name = "32"
C3v = Symmetry.from_generators(C3, Csx)
C3v.name = "3m"
D3d = Symmetry.from_generators(S6, Csx)
D3d.name = "-3m"
# Hexagonal
C6 = Symmetry.from_generators(C3, C2)
C6.name = "6"
C3h = Symmetry.from_generators(C3, Cs)D6.name = "622"
C6v = Symmetry.from_generators(C6, Csx)
C6v.name = "6mm"
D3h = Symmetry.from_generators(C3, C2y, Csz)
D3h.name = "-6m2"
D6h = Symmetry.from_generators(D6, Csz)
D6h.name = "6/mmm"
# Cubic
T = Symmetry.from_generators(C2, _cubic)
T.name = "23"
Th = Symmetry.from_generators(T, Ci)
Th.name = "m-3"
O = Symmetry.from_generators(C4, _cubic, C2x)
O.name = "432"
Td = Symmetry.from_generators(T, _mirror_xy)
Td.name = "-43m"
Oh = Symmetry.from_generators(O, Ci)
Oh.name = "m-3m"
_groups = [
C1,
Ci, # triclinic
C2x,
C2y,
C2z,
Csx,
Csy,
Csz,
C2h, # monoclinic
D2,
C2v,Csz = Symmetry([(1, 0, 0, 0), (0, 0, 0, 1)])
Csz.improper = [0, 1]
Csz.name = "11m"
Cs = Symmetry(Csz)
Cs.name = "m"
# Monoclinic
C2h = Symmetry.from_generators(C2, Cs)
C2h.name = "2/m"
# Orthorhombic
D2 = Symmetry.from_generators(C2z, C2x, C2y)
D2.name = "222"
C2v = Symmetry.from_generators(C2x, Csz)
C2v.name = "mm2"
D2h = Symmetry.from_generators(Csz, Csx, Csy)
D2h.name = "mmm"
# 4-fold rotations
C4x = Symmetry(
[
(1, 0, 0, 0),
(0.5 ** 0.5, 0.5 ** 0.5, 0, 0),
(0, 1, 0, 0),
(-(0.5 ** 0.5), 0.5 ** 0.5, 0, 0),
]
)
C4y = Symmetry(
[
(1, 0, 0, 0),
(0.5 ** 0.5, 0, 0.5 ** 0.5, 0),
(0, 0, 1, 0),orix
orix is an open-source Python library for handling crystal orientation mapping data
Package Health Score
78 / 100Popular orix functions
- orix.base.Object3d
- orix.crystal_map.CrystalMap
- orix.crystal_map.Phase
- orix.crystal_map.phase_list.Phase
- orix.crystal_map.PhaseList
- orix.quaternion.orientation.Orientation
- orix.quaternion.Quaternion
- orix.quaternion.rotation.Rotation
- orix.quaternion.rotation.Rotation.from_euler
- orix.quaternion.rotation.Rotation.from_neo_euler
- orix.quaternion.rotation.Rotation.stack
- orix.quaternion.symmetry.Symmetry
- orix.quaternion.symmetry.Symmetry.from_generators
- orix.scalar.Scalar
- orix.vector.__init__.Vector3d
- orix.vector.neo_euler.AxAngle
- orix.vector.neo_euler.AxAngle.from_axes_angles
- orix.vector.Vector3d
- orix.vector.Vector3d.from_polar
- orix.vector.Vector3d.zvector