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P-4'3m' [#215.72] (Type: 3 -- Type III (translationgleiche))

[OG: P-4'3m' #215.3.1574]

Operators of Group 215.72 (P-4'3m')

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.-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}
4.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}
5.z,x,y
mz,mx,my
( 
  0   0   1     0
  1   0   0     0
  0   1   0     0
 )
3+ x,x,x +1 {3xyz|0,0,0}
6.z,-x,-y
mz,-mx,-my
( 
  0   0   1     0
 -1   0   0     0
  0  -1   0     0
 )
3+ -x,x,-x +1 {3x-yz-1|0,0,0}
7.-z,-x,y
-mz,-mx,my
( 
  0   0  -1     0
 -1   0   0     0
  0   1   0     0
 )
3+ x,-x,-x +1 {3-xyz-1|0,0,0}
8.-z,x,-y
-mz,mx,-my
( 
  0   0  -1     0
  1   0   0     0
  0  -1   0     0
 )
3+ -x,-x,x +1 {3xy-z-1|0,0,0}
9.y,z,x
my,mz,mx
( 
  0   1   0     0
  0   0   1     0
  1   0   0     0
 )
3- x,x,x +1 {3xyz-1|0,0,0}
10.-y,z,-x
-my,mz,-mx
( 
  0  -1   0     0
  0   0   1     0
 -1   0   0     0
 )
3- x,-x,-x +1 {3-xyz|0,0,0}
11.y,-z,-x
my,-mz,-mx
( 
  0   1   0     0
  0   0  -1     0
 -1   0   0     0
 )
3- -x,-x,x +1 {3xy-z|0,0,0}
12.-y,-z,x
-my,-mz,mx
( 
  0  -1   0     0
  0   0  -1     0
  1   0   0     0
 )
3- -x,x,-x +1 {3x-yz|0,0,0}
13.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}'
14.-y,-x,z
-my,-mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     0
 ) '
m x,-x,z -1 {mxy|0,0,0}'
15.y,-x,-z
my,-mx,-mz
( 
  0   1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
-4+ 0,0,z 0,0,0 -1 {-4z|0,0,0}'
16.-y,x,-z
-my,mx,-mz
( 
  0  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-4- 0,0,z 0,0,0 -1 {-4z-1|0,0,0}'
17.x,z,y
mx,mz,my
( 
  1   0   0     0
  0   0   1     0
  0   1   0     0
 ) '
m x,y,y -1 {m-yz|0,0,0}'
18.-x,z,-y
-mx,mz,-my
( 
 -1   0   0     0
  0   0   1     0
  0  -1   0     0
 ) '
-4+ x,0,0 0,0,0 -1 {-4x|0,0,0}'
19.-x,-z,y
-mx,-mz,my
( 
 -1   0   0     0
  0   0  -1     0
  0   1   0     0
 ) '
-4- x,0,0 0,0,0 -1 {-4x-1|0,0,0}'
20.x,-z,-y
mx,-mz,-my
( 
  1   0   0     0
  0   0  -1     0
  0  -1   0     0
 ) '
m x,y,-y -1 {myz|0,0,0}'
21.z,y,x
mz,my,mx
( 
  0   0   1     0
  0   1   0     0
  1   0   0     0
 ) '
m x,y,x -1 {m-xz|0,0,0}'
22.z,-y,-x
mz,-my,-mx
( 
  0   0   1     0
  0  -1   0     0
 -1   0   0     0
 ) '
-4- 0,y,0 0,0,0 -1 {-4y-1|0,0,0}'
23.-z,y,-x
-mz,my,-mx
( 
  0   0  -1     0
  0   1   0     0
 -1   0   0     0
 ) '
m -x,y,x -1 {mxz|0,0,0}'
24.-z,-y,x
-mz,-my,mx
( 
  0   0  -1     0
  0  -1   0     0
  1   0   0     0
 ) '
-4+ 0,y,0 0,0,0 -1 {-4y|0,0,0}'


Go to the Wyckoff Positions of 215.72 (P-4'3m')
Go to the extinction rules of 215.72 (P-4'3m')


Back to the list of magnetic space groups derived from P-43m
Back to the list of Magnetic Space Groups

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