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P2abcm' [#57.12.469] (Type: 4 -- Type IV (klassengleiche))

[BNS: Pabca] #61.438

Operators of Group 57.12.469 (P2abcm')

1.x,y,z
mx,my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.x+1,-y+1/2,-z
mx,-my,-mz
( 
  1   0   0     1
  0  -1   0   1/2
  0   0  -1     0
 )
2 (1,0,0) x,1/4,0 +1 {2x|1,1/2,0}
3.-x+1,y+1/2,-z+1/2
-mx,my,-mz
( 
 -1   0   0     1
  0   1   0   1/2
  0   0  -1   1/2
 )
2 (0,1/2,0) 1/2,y,1/4 +1 {2y|1,1/2,1/2}
4.-x,-y,z+1/2
-mx,-my,mz
( 
 -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.-x+1,-y,-z
mx,my,mz
( 
 -1   0   0     1
  0  -1   0     0
  0   0  -1     0
 )
-1 1/2,0,0 +1 {-1|1,0,0}
6.-x,y+1/2,z
mx,-my,-mz
( 
 -1   0   0     0
  0   1   0   1/2
  0   0   1     0
 )
b 0,y,z +1 {mx|0,1/2,0}
7.x,-y+1/2,z+1/2
-mx,my,-mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0   1   1/2
 )
c x,1/4,z +1 {my|0,1/2,1/2}
8.x+1,y,-z+1/2
-mx,-my,mz
( 
  1   0   0     1
  0   1   0     0
  0   0  -1   1/2
 )
g (1,0,0) x,y,1/4 +1 {mz|1,0,1/2}
9.x+1,y,z
-mx,-my,-mz
( 
  1   0   0     1
  0   1   0     0
  0   0   1     0
 ) '
t (1,0,0) -1 {1|1,0,0}'
10.x,-y+1/2,-z
-mx,my,mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0  -1     0
 ) '
2 x,1/4,0 -1 {2x|0,1/2,0}'
11.-x,y+1/2,-z+1/2
mx,-my,mz
( 
 -1   0   0     0
  0   1   0   1/2
  0   0  -1   1/2
 ) '
2 (0,1/2,0) 0,y,1/4 -1 {2y|0,1/2,1/2}'
12.-x+1,-y,z+1/2
mx,my,-mz
( 
 -1   0   0     1
  0  -1   0     0
  0   0   1   1/2
 ) '
2 (0,0,1/2) 1/2,0,z -1 {2z|1,0,1/2}'
13.-x,-y,-z
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
-1 0,0,0 -1 {-1|0,0,0}'
14.-x+1,y+1/2,z
-mx,my,mz
( 
 -1   0   0     1
  0   1   0   1/2
  0   0   1     0
 ) '
b 1/2,y,z -1 {mx|1,1/2,0}'
15.x+1,-y+1/2,z+1/2
mx,-my,mz
( 
  1   0   0     1
  0  -1   0   1/2
  0   0   1   1/2
 ) '
g (1,0,1/2) x,1/4,z -1 {my|1,1/2,1/2}'
16.x,y,-z+1/2
mx,my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 ) '
m x,y,1/4 -1 {mz|0,0,1/2}'


Go to the Wyckoff Positions of 57.12.469 (P2abcm')
Go to the extinction rules of 61.438 (Pabca) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from Pbca
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