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P42'/ncm' [#138.523] (Type: 3 -- Type III (translationgleiche))

[OG: P42'/ncm' #138.5.1174]

Operators of Group 138.523 (P42'/ncm')

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+1/2,-y+1/2,z
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1     0
 )
2 1/4,1/4,z +1 {2z|1/2,1/2,0}
3.-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}
4.x+1/2,-y,-z+1/2
mx,-my,-mz
( 
  1   0   0   1/2
  0  -1   0     0
  0   0  -1   1/2
 )
2 (1/2,0,0) x,0,1/4 +1 {2x|1/2,0,1/2}
5.-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}
6.x+1/2,y+1/2,-z
-mx,-my,mz
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0  -1     0
 )
n (1/2,1/2,0) x,y,0 +1 {mz|1/2,1/2,0}
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+1/2,y,z+1/2
mx,-my,-mz
( 
 -1   0   0   1/2
  0   1   0     0
  0   0   1   1/2
 )
c 1/4,y,z +1 {mx|1/2,0,1/2}
9.-y+1/2,x,z+1/2
my,-mx,-mz
( 
  0  -1   0   1/2
  1   0   0     0
  0   0   1   1/2
 ) '
4+ (0,0,1/2) 1/4,1/4,z -1 {4z|1/2,0,1/2}'
10.y,-x+1/2,z+1/2
-my,mx,-mz
( 
  0   1   0     0
 -1   0   0   1/2
  0   0   1   1/2
 ) '
4- (0,0,1/2) 1/4,1/4,z -1 {4z-1|0,1/2,1/2}'
11.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}'
12.-y,-x,-z
my,mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
2 x,-x,0 -1 {2-xy|0,0,0}'
13.y+1/2,-x,-z+1/2
my,-mx,-mz
( 
  0   1   0   1/2
 -1   0   0     0
  0   0  -1   1/2
 ) '
-4+ 1/4,-1/4,z 1/4,-1/4,1/4 -1 {-4z|1/2,0,1/2}'
14.-y,x+1/2,-z+1/2
-my,mx,-mz
( 
  0  -1   0     0
  1   0   0   1/2
  0   0  -1   1/2
 ) '
-4- -1/4,1/4,z -1/4,1/4,1/4 -1 {-4z-1|0,1/2,1/2}'
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
 ) '
m x+1/2,-x,z -1 {mxy|1/2,1/2,0}'
16.y,x,z
my,mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 ) '
m x,x,z -1 {m-xy|0,0,0}'


Go to the Wyckoff Positions of 138.523 (P42'/ncm')
Go to the extinction rules of 138.523 (P42'/ncm')


Back to the list of magnetic space groups derived from P42/ncm
Back to the list of Magnetic Space Groups

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