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P42'/mm'c [#131.438] (Type: 3 -- Type III (translationgleiche))

[OG: P42'/mm'c #131.4.1100]

Operators of Group 131.438 (P42'/mm'c)

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


Go to the Wyckoff Positions of 131.438 (P42'/mm'c)
Go to the extinction rules of 131.438 (P42'/mm'c)


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

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