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

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


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


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