Bilbao Crystallographic Server arrow MGENPOS arrow Table of Magnetic Space Group Symbols Help

Fd'd'd' [#70.531] (Type: 3 -- Type III (translationgleiche))

[OG: Fd'd'd' #70.5.620]

Operators of Group 70.531 (Fd'd'd')

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+3/4,-y+3/4,z
-mx,-my,mz
( 
 -1   0   0   3/4
  0  -1   0   3/4
  0   0   1     0
 )
2 3/8,3/8,z +1 {2z|3/4,3/4,0}
3.-x+3/4,y,-z+3/4
-mx,my,-mz
( 
 -1   0   0   3/4
  0   1   0     0
  0   0  -1   3/4
 )
2 3/8,y,3/8 +1 {2y|3/4,0,3/4}
4.x,-y+3/4,-z+3/4
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0   3/4
  0   0  -1   3/4
 )
2 x,3/8,3/8 +1 {2x|0,3/4,3/4}
5.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}
6d.-x+3/4,-y+1/4,z+1/2
-mx,-my,mz
( 
 -1   0   0   3/4
  0  -1   0   1/4
  0   0   1   1/2
 )
2 (0,0,1/2) 3/8,1/8,z +1 {2z|3/4,1/4,1/2}
7d.-x+3/4,y+1/2,-z+1/4
-mx,my,-mz
( 
 -1   0   0   3/4
  0   1   0   1/2
  0   0  -1   1/4
 )
2 (0,1/2,0) 3/8,y,1/8 +1 {2y|3/4,1/2,1/4}
8d.x,-y+1/4,-z+1/4
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0   1/4
  0   0  -1   1/4
 )
2 x,1/8,1/8 +1 {2x|0,1/4,1/4}
9.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}
10d.-x+1/4,-y+3/4,z+1/2
-mx,-my,mz
( 
 -1   0   0   1/4
  0  -1   0   3/4
  0   0   1   1/2
 )
2 (0,0,1/2) 1/8,3/8,z +1 {2z|1/4,3/4,1/2}
11d.-x+1/4,y,-z+1/4
-mx,my,-mz
( 
 -1   0   0   1/4
  0   1   0     0
  0   0  -1   1/4
 )
2 1/8,y,1/8 +1 {2y|1/4,0,1/4}
12d.x+1/2,-y+3/4,-z+1/4
mx,-my,-mz
( 
  1   0   0   1/2
  0  -1   0   3/4
  0   0  -1   1/4
 )
2 (1/2,0,0) x,3/8,1/8 +1 {2x|1/2,3/4,1/4}
13.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}
14d.-x+1/4,-y+1/4,z
-mx,-my,mz
( 
 -1   0   0   1/4
  0  -1   0   1/4
  0   0   1     0
 )
2 1/8,1/8,z +1 {2z|1/4,1/4,0}
15d.-x+1/4,y+1/2,-z+3/4
-mx,my,-mz
( 
 -1   0   0   1/4
  0   1   0   1/2
  0   0  -1   3/4
 )
2 (0,1/2,0) 1/8,y,3/8 +1 {2y|1/4,1/2,3/4}
16d.x+1/2,-y+1/4,-z+3/4
mx,-my,-mz
( 
  1   0   0   1/2
  0  -1   0   1/4
  0   0  -1   3/4
 )
2 (1/2,0,0) x,1/8,3/8 +1 {2x|1/2,1/4,3/4}
17.-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}'
18.x+1/4,y+1/4,-z
mx,my,-mz
( 
  1   0   0   1/4
  0   1   0   1/4
  0   0  -1     0
 ) '
d (1/4,1/4,0) x,y,0 -1 {mz|1/4,1/4,0}'
19.x+1/4,-y,z+1/4
mx,-my,mz
( 
  1   0   0   1/4
  0  -1   0     0
  0   0   1   1/4
 ) '
d (1/4,0,1/4) x,0,z -1 {my|1/4,0,1/4}'
20.-x,y+1/4,z+1/4
-mx,my,mz
( 
 -1   0   0     0
  0   1   0   1/4
  0   0   1   1/4
 ) '
d (0,1/4,1/4) 0,y,z -1 {mx|0,1/4,1/4}'
21d.-x,-y+1/2,-z+1/2
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0   1/2
  0   0  -1   1/2
 ) '
-1 0,1/4,1/4 -1 {-1|0,1/2,1/2}'
22d.x+1/4,y+3/4,-z+1/2
mx,my,-mz
( 
  1   0   0   1/4
  0   1   0   3/4
  0   0  -1   1/2
 ) '
d (1/4,3/4,0) x,y,1/4 -1 {mz|1/4,3/4,1/2}'
23d.x+1/4,-y+1/2,z+3/4
mx,-my,mz
( 
  1   0   0   1/4
  0  -1   0   1/2
  0   0   1   3/4
 ) '
d (1/4,0,3/4) x,1/4,z -1 {my|1/4,1/2,3/4}'
24d.-x,y+3/4,z+3/4
-mx,my,mz
( 
 -1   0   0     0
  0   1   0   3/4
  0   0   1   3/4
 ) '
d (0,3/4,3/4) 0,y,z -1 {mx|0,3/4,3/4}'
25d.-x+1/2,-y,-z+1/2
-mx,-my,-mz
( 
 -1   0   0   1/2
  0  -1   0     0
  0   0  -1   1/2
 ) '
-1 1/4,0,1/4 -1 {-1|1/2,0,1/2}'
26d.x+3/4,y+1/4,-z+1/2
mx,my,-mz
( 
  1   0   0   3/4
  0   1   0   1/4
  0   0  -1   1/2
 ) '
d (3/4,1/4,0) x,y,1/4 -1 {mz|3/4,1/4,1/2}'
27d.x+3/4,-y,z+3/4
mx,-my,mz
( 
  1   0   0   3/4
  0  -1   0     0
  0   0   1   3/4
 ) '
d (3/4,0,3/4) x,0,z -1 {my|3/4,0,3/4}'
28d.-x+1/2,y+1/4,z+3/4
-mx,my,mz
( 
 -1   0   0   1/2
  0   1   0   1/4
  0   0   1   3/4
 ) '
d (0,1/4,3/4) 1/4,y,z -1 {mx|1/2,1/4,3/4}'
29d.-x+1/2,-y+1/2,-z
-mx,-my,-mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0  -1     0
 ) '
-1 1/4,1/4,0 -1 {-1|1/2,1/2,0}'
30d.x+3/4,y+3/4,-z
mx,my,-mz
( 
  1   0   0   3/4
  0   1   0   3/4
  0   0  -1     0
 ) '
d (3/4,3/4,0) x,y,0 -1 {mz|3/4,3/4,0}'
31d.x+3/4,-y+1/2,z+1/4
mx,-my,mz
( 
  1   0   0   3/4
  0  -1   0   1/2
  0   0   1   1/4
 ) '
d (3/4,0,1/4) x,1/4,z -1 {my|3/4,1/2,1/4}'
32d.-x+1/2,y+3/4,z+1/4
-mx,my,mz
( 
 -1   0   0   1/2
  0   1   0   3/4
  0   0   1   1/4
 ) '
d (0,3/4,1/4) 1/4,y,z -1 {mx|1/2,3/4,1/4}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 70.531 (Fd'd'd')
Go to the extinction rules of 70.531 (Fd'd'd')


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

Bilbao Crystallographic Server
http://www.cryst.ehu.es 		For comments, please mail to
administrador.bcs@ehu.es