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P-31m1' [#162.74] (Type: 2 -- Type II (grey group))

[OG: P-31m1' #162.2.1304]

Operators of Group 162.74 (P-31m1')

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.-y,-x,-z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 )
2 x,-x,0 +1 {23|0,0,0}
5.-x+y,y,-z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 )
2 x,2x,0 +1 {22|0,0,0}
6.x,x-y,-z
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1     0
 )
2 2x,x,0 +1 {21|0,0,0}
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.y,x,z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 )
m x,x,z +1 {m3|0,0,0}
11.x-y,-y,z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1     0
 )
m x,0,z +1 {m2|0,0,0}
12.-x,-x+y,z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1     0
 )
m 0,y,z +1 {m1|0,0,0}
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.-y,-x,-z
0,0,0
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
2 x,-x,0 -1 {23|0,0,0}'
17.-x+y,y,-z
0,0,0
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 ) '
2 x,2x,0 -1 {22|0,0,0}'
18.x,x-y,-z
0,0,0
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1     0
 ) '
2 2x,x,0 -1 {21|0,0,0}'
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.y,x,z
0,0,0
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 ) '
m x,x,z -1 {m3|0,0,0}'
23.x-y,-y,z
0,0,0
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1     0
 ) '
m x,0,z -1 {m2|0,0,0}'
24.-x,-x+y,z
0,0,0
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1     0
 ) '
m 0,y,z -1 {m1|0,0,0}'


Go to the Wyckoff Positions of 162.74 (P-31m1')
Go to the extinction rules of 162.74 (P-31m1')


Back to the list of magnetic space groups derived from P-31m
Back to the list of Magnetic Space Groups

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