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Site Symmetry Group -4'3m' of the Wyckoff Position 8a

Magnetic Space Group: Fd-3m' (#227.131) [OG: Fd-3m' (#227.4.1631)]


Representative: (1/8,1/8,1/8 | 0,0,0)

Symmetry operations:

x, y, z, +1
mx, my, mz
(1|0,0,0)
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
1
x, -y+1/4, -z+1/4, +1
mx, -my+1/4, -mz+1/4
(2x|0,1/4,1/4)
(
   1   0   0    0
   0  -1   0   1/4
   0   0  -1   1/4
)
2 x,1/8,1/8
-x+1/4, y, -z+1/4, +1
-mx+1/4, my, -mz+1/4
(2y|1/4,0,1/4)
(
  -1   0   0   1/4
   0   1   0    0
   0   0  -1   1/4
)
2 1/8,y,1/8
-x+1/4, -y+1/4, z, +1
-mx+1/4, -my+1/4, mz
(2z|1/4,1/4,0)
(
  -1   0   0   1/4
   0  -1   0   1/4
   0   0   1    0
)
2 1/8,1/8,z
y, z, x, +1
my, mz, mx
(3xyz-1|0,0,0)
(
   0   1   0    0
   0   0   1    0
   1   0   0    0
)
3- x,x,x
y, -z+1/4, -x+1/4, +1
my, -mz+1/4, -mx+1/4
(3xy-z|0,1/4,1/4)
(
   0   1   0    0
   0   0  -1   1/4
  -1   0   0   1/4
)
3- -x+1/4,-x+1/4,x
-y+1/4, z, -x+1/4, +1
-my+1/4, mz, -mx+1/4
(3-xyz|1/4,0,1/4)
(
   0  -1   0   1/4
   0   0   1    0
  -1   0   0   1/4
)
3- x+1/4,-x,-x
-y+1/4, -z+1/4, x, +1
-my+1/4, -mz+1/4, mx
(3x-yz|1/4,1/4,0)
(
   0  -1   0   1/4
   0   0  -1   1/4
   1   0   0    0
)
3- -x,x+1/4,-x
z, x, y, +1
mz, mx, my
(3xyz|0,0,0)
(
   0   0   1    0
   1   0   0    0
   0   1   0    0
)
3+ x,x,x
z, -x+1/4, -y+1/4, +1
mz, -mx+1/4, -my+1/4
(3x-yz-1|0,1/4,1/4)
(
   0   0   1    0
  -1   0   0   1/4
   0  -1   0   1/4
)
3+ -x,x+1/4,-x
-z+1/4, x, -y+1/4, +1
-mz+1/4, mx, -my+1/4
(3xy-z-1|1/4,0,1/4)
(
   0   0  -1   1/4
   1   0   0    0
   0  -1   0   1/4
)
3+ -x+1/4,-x+1/4,x
-z+1/4, -x+1/4, y, +1
-mz+1/4, -mx+1/4, my
(3-xyz-1|1/4,1/4,0)
(
   0   0  -1   1/4
  -1   0   0   1/4
   0   1   0    0
)
3+ x+1/4,-x,-x
y, x, z, -1
my, mx, mz
(m-xy'|0,0,0)
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)'
m x,x,z -1
y, -x+1/4, -z+1/4, -1
my, -mx+1/4, -mz+1/4
(-4z'|0,1/4,1/4)
(
   0   1   0    0
  -1   0   0   1/4
   0   0  -1   1/4
)'
-4+ 1/8,1/8,z; 1/8,1/8,1/8 -1
-y+1/4, x, -z+1/4, -1
-my+1/4, mx, -mz+1/4
(-4z-1'|1/4,0,1/4)
(
   0  -1   0   1/4
   1   0   0    0
   0   0  -1   1/4
)'
-4- 1/8,1/8,z; 1/8,1/8,1/8 -1
-y+1/4, -x+1/4, z, -1
-my+1/4, -mx+1/4, mz
(mxy'|1/4,1/4,0)
(
   0  -1   0   1/4
  -1   0   0   1/4
   0   0   1    0
)'
m x+1/4,-x,z -1
x, z, y, -1
mx, mz, my
(m-yz'|0,0,0)
(
   1   0   0    0
   0   0   1    0
   0   1   0    0
)'
m x,y,y -1
x, -z+1/4, -y+1/4, -1
mx, -mz+1/4, -my+1/4
(myz'|0,1/4,1/4)
(
   1   0   0    0
   0   0  -1   1/4
   0  -1   0   1/4
)'
m x,y+1/4,-y -1
-x+1/4, z, -y+1/4, -1
-mx+1/4, mz, -my+1/4
(-4x'|1/4,0,1/4)
(
  -1   0   0   1/4
   0   0   1    0
   0  -1   0   1/4
)'
-4+ x,1/8,1/8; 1/8,1/8,1/8 -1
-x+1/4, -z+1/4, y, -1
-mx+1/4, -mz+1/4, my
(-4x-1'|1/4,1/4,0)
(
  -1   0   0   1/4
   0   0  -1   1/4
   0   1   0    0
)'
-4- x,1/8,1/8; 1/8,1/8,1/8 -1
z, y, x, -1
mz, my, mx
(m-xz'|0,0,0)
(
   0   0   1    0
   0   1   0    0
   1   0   0    0
)'
m x,y,x -1
z, -y+1/4, -x+1/4, -1
mz, -my+1/4, -mx+1/4
(-4y-1'|0,1/4,1/4)
(
   0   0   1    0
   0  -1   0   1/4
  -1   0   0   1/4
)'
-4- 1/8,y,1/8; 1/8,1/8,1/8 -1
-z+1/4, y, -x+1/4, -1
-mz+1/4, my, -mx+1/4
(mxz'|1/4,0,1/4)
(
   0   0  -1   1/4
   0   1   0    0
  -1   0   0   1/4
)'
m -x+1/4,y,x -1
-z+1/4, -y+1/4, x, -1
-mz+1/4, -my+1/4, mx
(-4y'|1/4,1/4,0)
(
   0   0  -1   1/4
   0  -1   0   1/4
   1   0   0    0
)'
-4+ 1/8,y,1/8; 1/8,1/8,1/8 -1


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