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

Fm'-3'm [#225.118] (Type: 3 -- Type III (translationgleiche))

[OG: Fm'-3'm #225.3.1620]

Operators of Group 225.118 (Fm'-3'm)


Fatal error: Uncaught Error: Call to undefined function split() in /bcs/branches/www/www/magnetic_space_groups/construct/matrix_functions.inc.php:197 Stack trace: #0 /bcs/branches/www_copy/www/html/cryst/magnext.php(486): mxmymz_from_xyz_det_mag('-y,-x,z', -1, '1') #1 {main} thrown in /bcs/branches/www/www/magnetic_space_groups/construct/matrix_functions.inc.php on line 197
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 {mxy|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 {m-xy|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-1|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|0,0,0}
17.-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}
18.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}
19.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}
20.-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}
21.-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}
22.-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}
23.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}
24.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}
25.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}
26d.-x,-y+1/2,z+1/2
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0   1/2
  0   0   1   1/2
 )
2 (0,0,1/2) 0,1/4,z +1 {2z|0,1/2,1/2}
27d.-x,y+1/2,-z+1/2
-mx,my,-mz
( 
 -1   0   0     0
  0   1   0   1/2
  0   0  -1   1/2
 )
2 (0,1/2,0) 0,y,1/4 +1 {2y|0,1/2,1/2}
28d.x,-y+1/2,-z+1/2
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0   1/2
  0   0  -1   1/2
 )
2 x,1/4,1/4 +1 {2x|0,1/2,1/2}
29d.z,x+1/2,y+1/2
mz,mx,my
( 
  0   0   1     0
  1   0   0   1/2
  0   1   0   1/2
 )
3+ (1/3,1/3,1/3) x-0.33333,x-1/6,x +1 {3xyz|0,1/2,1/2}
30d.z,-x+1/2,-y+1/2
mz,-mx,-my
( 
  0   0   1     0
 -1   0   0   1/2
  0  -1   0   1/2
 )
3+ -x,x+1/2,-x +1 {3x-yz-1|0,1/2,1/2}
31d.-z,-x+1/2,y+1/2
-mz,-mx,my
( 
  0   0  -1     0
 -1   0   0   1/2
  0   1   0   1/2
 )
3+ (-1/3,1/3,1/3) x+1/3,-x,-x +1 {3-xyz-1|0,1/2,1/2}
32d.-z,x+1/2,-y+1/2
-mz,mx,-my
( 
  0   0  -1     0
  1   0   0   1/2
  0  -1   0   1/2
 )
3+ -x,-x+1/2,x +1 {3xy-z-1|0,1/2,1/2}
33d.y,z+1/2,x+1/2
my,mz,mx
( 
  0   1   0     0
  0   0   1   1/2
  1   0   0   1/2
 )
3- (1/3,1/3,1/3) x-0.16666,x+1/6,x +1 {3xyz-1|0,1/2,1/2}
34d.-y,z+1/2,-x+1/2
-my,mz,-mx
( 
  0  -1   0     0
  0   0   1   1/2
 -1   0   0   1/2
 )
3- (-1/3,1/3,1/3) x+1/6,-x+1/6,-x +1 {3-xyz|0,1/2,1/2}
35d.y,-z+1/2,-x+1/2
my,-mz,-mx
( 
  0   1   0     0
  0   0  -1   1/2
 -1   0   0   1/2
 )
3- -x+1/2,-x+1/2,x +1 {3xy-z|0,1/2,1/2}
36d.-y,-z+1/2,x+1/2
-my,-mz,mx
( 
  0  -1   0     0
  0   0  -1   1/2
  1   0   0   1/2
 )
3- -x-1/2,x+1/2,-x +1 {3x-yz|0,1/2,1/2}