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General Positions of three-dimensional crystallographic point groups
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General Positions of the 3D Crystallographic Point Group S
4
(-4)
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No.
(x,y,z) form
Matrix form
Symmetry operation
ITA
Seitz
1
x,y,z
1 0 0 0 1 0 0 0 1
1
1
2
-x,-y,z
-1 0 0 0 -1 0 0 0 1
2 0,0,z
2
001
3
y,-x,-z
0 1 0 -1 0 0 0 0 -1
-4
+
0,0,z; 0,0,0
-4
+
001
4
-y,x,-z
0 -1 0 1 0 0 0 0 -1
-4
-
0,0,z; 0,0,0
-4
-
001
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