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

Ia-3d1' [#230.146] (Type: 2 -- Type II (grey group))

[OG: Ia-3d1' #230.2.1648]

Operators of Group 230.146 (Ia-3d1')

1.x,y,z
0,0,0
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2d.-x+1/2,-y,z+1/2
-mx,-my,mz
( 
 -1   0   0   1/2
  0  -1   0     0
  0   0   1   1/2
 )
2 (0,0,1/2) 1/4,0,z +1 {2z|1/2,0,1/2}
3d.-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}
4d.x+1/2,-y+1/2,-z
mx,-my,-mz
( 
  1   0   0   1/2
  0  -1   0   1/2
  0   0  -1     0
 )
2 (1/2,0,0) x,1/4,0 +1 {2x|1/2,1/2,0}
5.z,x,y
0,0,0
( 
  0   0   1     0
  1   0   0     0
  0   1   0     0
 )
3+ x,x,x +1 {3xyz|0,0,0}
6d.z+1/2,-x+1/2,-y
mz,-mx,-my
( 
  0   0   1   1/2
 -1   0   0   1/2
  0  -1   0     0
 )
3+ -x+1/2,x,-x +1 {3x-yz-1|1/2,1/2,0}
7d.-z+1/2,-x,y+1/2
-mz,-mx,my
( 
  0   0  -1   1/2
 -1   0   0     0
  0   1   0   1/2
 )
3+ x+1/2,-x,-x +1 {3-xyz-1|1/2,0,1/2}
8d.-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}
9.y,z,x
0,0,0
( 
  0   1   0     0
  0   0   1     0
  1   0   0     0
 )
3- x,x,x +1 {3xyz-1|0,0,0}
10d.-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}
11d.y+1/2,-z+1/2,-x
my,-mz,-mx
( 
  0   1   0   1/2
  0   0  -1   1/2
 -1   0   0     0
 )
3- (1/3,1/3,-1/3) -x+1/3,-x+1/6,x +1 {3xy-z|1/2,1/2,0}
12d.-y+1/2,-z,x+1/2
-my,-mz,mx
( 
  0  -1   0   1/2
  0   0  -1     0
  1   0   0   1/2
 )
3- (1/3,-1/3,1/3) -x-1/6,x+1/3,-x +1 {3x-yz|1/2,0,1/2}
13.y+3/4,x+1/4,-z+1/4
0,0,0
( 
  0   1   0   3/4
  1   0   0   1/4
  0   0  -1   1/4
 )
2 (1/2,1/2,0) x,x-1/4,1/8 +1 {2xy|3/4,1/4,1/4}
14d.-y+3/4,-x+3/4,-z+3/4
-my,-mx,-mz
( 
  0  -1   0   3/4
 -1   0   0   3/4
  0   0  -1   3/4
 )
2 x,-x+3/4,3/8 +1 {2-xy|3/4,3/4,3/4}
15.y+1/4,-x+1/4,z+3/4
0,0,0
( 
  0   1   0   1/4
 -1   0   0   1/4
  0   0   1   3/4
 )
4- (0,0,3/4) 1/4,0,z +1 {4z-1|1/4,1/4,3/4}
16.-y+1/4,x+3/4,z+1/4
0,0,0
( 
  0  -1   0   1/4
  1   0   0   3/4
  0   0   1   1/4
 )
4+ (0,0,1/4) -1/4,1/2,z +1 {4z|1/4,3/4,1/4}
17.x+3/4,z+1/4,-y+1/4
0,0,0
( 
  1   0   0   3/4
  0   0   1   1/4
  0  -1   0   1/4
 )
4- (3/4,0,0) x,1/4,0 +1 {4x-1|3/4,1/4,1/4}
18.-x+1/4,z+3/4,y+1/4
0,0,0
( 
 -1   0   0   1/4
  0   0   1   3/4
  0   1   0   1/4
 )
2 (0,1/2,1/2) 1/8,y+1/4,y +1 {2yz|1/4,3/4,1/4}
19d.-x+3/4,-z+3/4,-y+3/4
-mx,-mz,-my
( 
 -1   0   0   3/4
  0   0  -1   3/4
  0  -1   0   3/4
 )
2 3/8,y+3/4,-y +1 {2-yz|3/4,3/4,3/4}
20.x+1/4,-z+1/4,y+3/4
0,0,0
( 
  1   0   0   1/4
  0   0  -1   1/4
  0   1   0   3/4
 )
4+ (1/4,0,0) x,-1/4,1/2 +1 {4x|1/4,1/4,3/4}
21.z+3/4,y+1/4,-x+1/4
0,0,0
( 
  0   0   1   3/4
  0   1   0   1/4
 -1   0   0   1/4
 )
4+ (0,1/4,0) 1/2,y,-1/4 +1 {4y|3/4,1/4,1/4}
22.z+1/4,-y+1/4,x+3/4
0,0,0
( 
  0   0   1   1/4
  0  -1   0   1/4
  1   0   0   3/4
 )
2 (1/2,0,1/2) x-0.25,1/8,x +1 {2xz|1/4,1/4,3/4}
23.-z+1/4,y+3/4,x+1/4
0,0,0
( 
  0   0  -1   1/4
  0   1   0   3/4
  1   0   0   1/4
 )
4- (0,3/4,0) 0,y,1/4 +1 {4y-1|1/4,3/4,1/4}
24d.-z+3/4,-y+3/4,-x+3/4
-mz,-my,-mx
( 
  0   0  -1   3/4
  0  -1   0   3/4
 -1   0   0   3/4
 )
2 -x+3/4,3/8,x +1 {2-xz|3/4,3/4,3/4}
25.-x,-y,-z
0,0,0
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
-1 0,0,0 +1 {-1|0,0,0}