crystalSymmetry edit page

Syntax

crystalSymmetry('cubic')
crystalSymmetry('2/m',[8.6 13 7.2],[90 116, 90]*degree,'mineral','orthoclase')
crystalSymmetry('O')
crystalSymmetry('LaueId',9)
crystalSymmetry('SpaceId',153)
rot = rotation.map(vector3d(1,1,1),vector3d.Z,vector3d(0,-1,1),vector3d.X)
crystalSymmetry('432','rotAxes',rot)

Input

name Schoenflies or International notation of the Laue group
axes [a,b,c] - length of the crystallographic axes
angle [alpha,beta,gamma] - angle between the axes

Class Properties

id point group id
pointGroup international notation of the point group
lattice lattice type
isLaue is Laue group?
isProper is enantiomorphic group?
mineral mineral name
color color used in EBSD phase plot
alpha, beta, gamma angles between the a, b and c axis
aAxis, bAxis, cAxis direct crystal axes Miller
aAxisRec, bAxisRec, cAxisRec reciprocal crystal axes Miller
axes vector3d
Supported Symmetries
id crystal system Schoen Inter- Laue Rotational
flies national class axes
1 triclinic C1 1 1 1
2 triclinic Ci 1 -1 1
3 monoclinic C2 211 2/m11 211
4 monoclinic Cs m11 2/m11 211
5 monoclinic C2h 2/m11 2/m11 211
6 monoclinic C2 121 12/m1 121
7 monoclinic Cs 1m1 12/m1 121
8 monoclinic C2h 12/m1 12/m1 121
9 monoclinic C2 112 112/m 112
10 monoclinic Cs 11m 112/m 112
11 monoclinic C2h 112/m 112/m 112
12 orthorhombic D2 222 mmm 222
13 orthorhombic C2v 2mm mmm 222
14 orthorhombic C2v m2m mmm 222
15 orthorhombic C2v mm2 mmm 222
16 orthorhombic D2h mmm mmm 222
17 trigonal C3 3 3 3
18 trigonal C3i 3 -3 3
19 trigonal D3 321 3m1 321
20 trigonal C3v 3m1 3m1 321
21 trigonal D3d 3m1 -3m1 321
22 trigonal D3 312 31m 312
23 trigonal C3v 31m 31m 312
24 trigonal D3d 31m -31m 312
25 tetragonal C4 4 4/m 4
26 tetragonal S4 4 4/m 4
27 tetragonal C4h 4/m 4/m 4
28 tetragonal D4 422 4/mmm 422
29 tetragonal C4v 4mm 4/mmm 422
30 tetragonal D2d 42m 4/mmm 422
31 tetragonal D2d 4m2 4/mmm 422
32 tetragonal D4h 4/mmm 4/mmm 422
33 hexagonal C6 6 6/m 6
34 hexagonal C3h 6 6/m 6
35 hexagonal C6h 6/m 6/m 6
36 hexagonal D6 622 6/mmm 622
37 hexagonal C6v 6mm 6/mmm 622
38 hexagonal D3h 62m 6/mmm 622
39 hexagonal D3h 6m2 6/mmm 622
40 hexagonal D6h 6/mmm 6/mmm 622
41 cubic T 23 m 3 23
42 cubic Th m 3 m-3 23
43 cubic O 432 m 3m 432
44 cubic Td 43m m-3m 432
45 cubic Oh m 3m m-3m 432
46 icosahedral I 532 5-32/m 532
47 icosahedral Ih 5-32/m -5-32/m 532

See also

CrystalSymmetries CrystalShapes CrystalReferenceSystem CrystalOperations