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F-4'3c' [#219.87] (Type: 3 -- Type III (translationgleiche))

[OG: F-4'3c' #219.3.1590]

Operators of Group 219.87 (F-4'3c')

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.x,y+1/2,z+1/2
mx,my,mz
( 
  1   0   0     0
  0   1   0   1/2
  0   0   1   1/2
 )
t (0,1/2,1/2) +1 {1|0,1/2,1/2}
14.x+1/2,y,z+1/2
mx,my,mz
( 
  1   0   0   1/2
  0   1   0     0
  0   0   1   1/2
 )
t (1/2,0,1/2) +1 {1|1/2,0,1/2}
15.x+1/2,y+1/2,z
mx,my,mz
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0   1     0
 )
t (1/2,1/2,0) +1 {1|1/2,1/2,0}
16.y+1/2,x+1/2,z+1/2
my,mx,mz
( 
  0   1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
 ) '
n (1/2,1/2,1/2) x,x,z -1 {m-xy|1/2,1/2,1/2}'
17.-y+1/2,-x+1/2,z+1/2
-my,-mx,mz
( 
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
 ) '
c x+1/2,-x,z -1 {mxy|1/2,1/2,1/2}'
18.y+1/2,-x+1/2,-z+1/2
my,-mx,-mz
( 
  0   1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
 ) '
-4+ 1/2,0,z 1/2,0,1/4 -1 {-4z|1/2,1/2,1/2}'
19.-y+1/2,x+1/2,-z+1/2
-my,mx,-mz
( 
  0  -1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
 ) '
-4- 0,1/2,z 0,1/2,1/4 -1 {-4z-1|1/2,1/2,1/2}'
20.x+1/2,z+1/2,y+1/2
mx,mz,my
( 
  1   0   0   1/2
  0   0   1   1/2
  0   1   0   1/2
 ) '
n (1/2,1/2,1/2) x,y,y -1 {m-yz|1/2,1/2,1/2}'
21.-x+1/2,z+1/2,-y+1/2
-mx,mz,-my
( 
 -1   0   0   1/2
  0   0   1   1/2
  0  -1   0   1/2
 ) '
-4+ x,1/2,0 1/4,1/2,0 -1 {-4x|1/2,1/2,1/2}'
22.-x+1/2,-z+1/2,y+1/2
-mx,-mz,my
( 
 -1   0   0   1/2
  0   0  -1   1/2
  0   1   0   1/2
 ) '
-4- x,0,1/2 1/4,0,1/2 -1 {-4x-1|1/2,1/2,1/2}'
23.x+1/2,-z+1/2,-y+1/2
mx,-mz,-my
( 
  1   0   0   1/2
  0   0  -1   1/2
  0  -1   0   1/2
 ) '
a x,y+1/2,-y -1 {myz|1/2,1/2,1/2}'
24.z+1/2,y+1/2,x+1/2
mz,my,mx
( 
  0   0   1   1/2
  0   1   0   1/2
  1   0   0   1/2
 ) '
n (1/2,1/2,1/2) x,y,x -1 {m-xz|1/2,1/2,1/2}'
25.z+1/2,-y+1/2,-x+1/2
mz,-my,-mx
( 
  0   0   1   1/2
  0  -1   0   1/2
 -1   0   0   1/2
 ) '
-4- 1/2,y,0 1/2,1/4,0 -1 {-4y-1|1/2,1/2,1/2}'
26.-z+1/2,y+1/2,-x+1/2
-mz,my,-mx
( 
  0   0  -1   1/2
  0   1   0   1/2
 -1   0   0   1/2
 ) '
b -x+1/2,y,x -1 {mxz|1/2,1/2,1/2}'
27.-z+1/2,-y+1/2,x+1/2
-mz,-my,mx
( 
  0   0  -1   1/2
  0  -1   0   1/2
  1   0   0   1/2
 ) '
-4+ 0,y,1/2 0,1/4,1/2 -1 {-4y|1/2,1/2,1/2}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 219.87 (F-4'3c')
Go to the extinction rules of 219.87 (F-4'3c')


Back to the list of magnetic space groups derived from F-43c
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