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P63/m1' [#176.144] (Type: 2 -- Type II (grey group))

[OG: P63/m1' #176.2.1375]

Operators of Group 176.144 (P63/m1')

1.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.-y,x-y,z
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
3.-x+y,-x,z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
4.-x,-y,z+1/2
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 )
2 (0,0,1/2) 0,0,z +1 {2z|0,0,1/2}
5.y,-x+y,z+1/2
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/2
 )
6- (0,0,1/2) 0,0,z +1 {6z-1|0,0,1/2}
6.x-y,x,z+1/2
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/2
 )
6+ (0,0,1/2) 0,0,z +1 {6z|0,0,1/2}
7.-x,-y,-z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}
8.y,-x+y,-z
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 )
-3+ 0,0,z 0,0,0 +1 {-3z|0,0,0}
9.x-y,x,-z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 )
-3- 0,0,z 0,0,0 +1 {-3z-1|0,0,0}
10.x,y,-z+1/2
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 )
m x,y,1/4 +1 {mz|0,0,1/2}
11.-y,x-y,-z+1/2
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1   1/2
 )
-6- 0,0,z 0,0,1/4 +1 {-6z-1|0,0,1/2}
12.-x+y,-x,-z+1/2
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1   1/2
 )
-6+ 0,0,z 0,0,1/4 +1 {-6z|0,0,1/2}
13.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 ) '
1 -1 {1|0,0,0}'
14.-y,x-y,z
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 ) '
3+ 0,0,z -1 {3z|0,0,0}'
15.-x+y,-x,z
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 ) '
3- 0,0,z -1 {3z-1|0,0,0}'
16.-x,-y,z+1/2
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 ) '
2 (0,0,1/2) 0,0,z -1 {2z|0,0,1/2}'
17.y,-x+y,z+1/2
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/2
 ) '
6- (0,0,1/2) 0,0,z -1 {6z-1|0,0,1/2}'
18.x-y,x,z+1/2
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/2
 ) '
6+ (0,0,1/2) 0,0,z -1 {6z|0,0,1/2}'
19.-x,-y,-z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
-1 0,0,0 -1 {-1|0,0,0}'
20.y,-x+y,-z
0,0,0
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
-3+ 0,0,z 0,0,0 -1 {-3z|0,0,0}'
21.x-y,x,-z
0,0,0
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-3- 0,0,z 0,0,0 -1 {-3z-1|0,0,0}'
22.x,y,-z+1/2
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 ) '
m x,y,1/4 -1 {mz|0,0,1/2}'
23.-y,x-y,-z+1/2
0,0,0
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1   1/2
 ) '
-6- 0,0,z 0,0,1/4 -1 {-6z-1|0,0,1/2}'
24.-x+y,-x,-z+1/2
0,0,0
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1   1/2
 ) '
-6+ 0,0,z 0,0,1/4 -1 {-6z|0,0,1/2}'


Go to the Wyckoff Positions of 176.144 (P63/m1')
Go to the extinction rules of 176.144 (P63/m1')


Back to the list of magnetic space groups derived from P63/m
Back to the list of Magnetic Space Groups

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