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PI4222 [#93.126] (Type: 4 -- Type IV (klassengleiche))

[OG: IP4'22' #97.7.811]

Operators of Group 93.126 (PI4222)

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


Go to the Wyckoff Positions of 93.126 (PI4222)
Go to the extinction rules of 93.126 (PI4222)


Back to the list of magnetic space groups derived from I422
Back to the list of Magnetic Space Groups

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