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

I-4'2d' [#122.336] (Type: 3 -- Type III (translationgleiche))

[OG: I-4'2d' #122.4.997]

Operators of Group 122.336 (I-4'2d')

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}
3d.-x+1/2,y,-z+3/4
-mx,my,-mz
( 
 -1   0   0   1/2
  0   1   0     0
  0   0  -1   3/4
 )
2 1/4,y,3/8 +1 {2y|1/2,0,3/4}
4d.x+1/2,-y,-z+3/4
mx,-my,-mz
( 
  1   0   0   1/2
  0  -1   0     0
  0   0  -1   3/4
 )
2 (1/2,0,0) x,0,3/8 +1 {2x|1/2,0,3/4}
5.x+1/2,y+1/2,z+1/2
mx,my,mz
( 
  1   0   0   1/2
  0   1   0   1/2
  0   0   1   1/2
 )
t (1/2,1/2,1/2) +1 {1|1/2,1/2,1/2}
6d.-x+1/2,-y+1/2,z+1/2
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1   1/2
 )
2 (0,0,1/2) 1/4,1/4,z +1 {2z|1/2,1/2,1/2}
7.-x,y+1/2,-z+1/4
-mx,my,-mz
( 
 -1   0   0     0
  0   1   0   1/2
  0   0  -1   1/4
 )
2 (0,1/2,0) 0,y,1/8 +1 {2y|0,1/2,1/4}
8.x,-y+1/2,-z+1/4
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0  -1   1/4
 )
2 x,1/4,1/8 +1 {2x|0,1/2,1/4}
9.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}'
10.-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}'
11d.-y+1/2,-x,z+3/4
-my,-mx,mz
( 
  0  -1   0   1/2
 -1   0   0     0
  0   0   1   3/4
 ) '
d (1/4,-1/4,3/4) x+1/4,-x,z -1 {mxy|1/2,0,3/4}'
12d.y+1/2,x,z+3/4
my,mx,mz
( 
  0   1   0   1/2
  1   0   0     0
  0   0   1   3/4
 ) '
d (1/4,1/4,3/4) x+1/4,x,z -1 {m-xy|1/2,0,3/4}'
13d.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}'
14d.-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}'
15.-y,-x+1/2,z+1/4
-my,-mx,mz
( 
  0  -1   0     0
 -1   0   0   1/2
  0   0   1   1/4
 ) '
d (-1/4,1/4,1/4) x+1/4,-x,z -1 {mxy|0,1/2,1/4}'
16.y,x+1/2,z+1/4
my,mx,mz
( 
  0   1   0     0
  1   0   0   1/2
  0   0   1   1/4
 ) '
d (1/4,1/4,1/4) x-0.25,x,z -1 {m-xy|0,1/2,1/4}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 122.336 (I-4'2d')
Go to the extinction rules of 122.336 (I-4'2d')


Back to the list of magnetic space groups derived from I-42d
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