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

Im'm'm' [#71.537] (Type: 3 -- Type III (translationgleiche))

[OG: Im'm'm' #71.5.625]

Operators of Group 71.537 (Im'm'm')

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.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}
7d.-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 (0,1/2,0) 1/4,y,1/4 +1 {2y|1/2,1/2,1/2}
8d.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 (1/2,0,0) x,1/4,1/4 +1 {2x|1/2,1/2,1/2}
9.-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}'
10.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}'
11.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}'
12.-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}'
13d.-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
 ) '
-1 1/4,1/4,1/4 -1 {-1|1/2,1/2,1/2}'
14d.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
 ) '
n (1/2,1/2,0) x,y,1/4 -1 {mz|1/2,1/2,1/2}'
15d.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
 ) '
n (1/2,0,1/2) x,1/4,z -1 {my|1/2,1/2,1/2}'
16d.-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
 ) '
n (0,1/2,1/2) 1/4,y,z -1 {mx|1/2,1/2,1/2}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 71.537 (Im'm'm')
Go to the extinction rules of 71.537 (Im'm'm')


Back to the list of magnetic space groups derived from Immm
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