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General positions of two-dimensional crystallographic point groups
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General Positions of the 2D Crystallographic Point Group 31m
Show the generators
No.
(x,y) form
Matrix form
Symmetry operation
ITA
Seitz
1
x,y
1 0 0 1
1
1
2
-y,x-y
0 -1 1 -1
3
+
3
+
3
-x+y,-x
-1 1 -1 0
3
-
3
-
4
y,x
0 1 1 0
m x,x
m
1-1
5
x-y,-y
1 -1 0 -1
m x,0
m
12
6
-x,-x+y
-1 0 -1 1
m 0,y
m
21
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