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General Positions of the Group Fd'd'd (#70.530)
70.530 Fd'd'd (UNI symbol)

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: Fd'd'd (#70.4.619)

N Standard/Default Setting
(x,y,z) form Matrix form Geom. interp. Seitz notation
1 x, y, z, +1
mx,my,mz
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
 1 +1 { 1 | 0 }
2 -x+3/4, -y+3/4, z, +1
-mx,-my,mz
(
  -1   0   0   3/4
   0  -1   0   3/4
   0   0   1    0
)
 2 3/8,3/8,z +1 { 2001 | 3/4 3/4 0 }
3 -x, -y, -z, +1
mx,my,mz
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)
 -1 0,0,0 +1 { -1 | 0 }
4 x+1/4, y+1/4, -z, +1
-mx,-my,mz
(
   1   0   0   1/4
   0   1   0   1/4
   0   0  -1    0
)
 d (1/4,1/4,0) x,y,0 +1 { m001 | 1/4 1/4 0 }
5 x, -y+3/4, -z+3/4, -1
-mx,my,mz
(
   1   0   0    0
   0  -1   0   3/4
   0   0  -1   3/4
)'
 2 x,3/8,3/8 -1 { 2'100 | 0 3/4 3/4 }
6 -x+3/4, y, -z+3/4, -1
mx,-my,mz
(
  -1   0   0   3/4
   0   1   0    0
   0   0  -1   3/4
)'
 2 3/8,y,3/8 -1 { 2'010 | 3/4 0 3/4 }
7 -x, y+1/4, z+1/4, -1
-mx,my,mz
(
  -1   0   0    0
   0   1   0   1/4
   0   0   1   1/4
)'
 d (0,1/4,1/4) 0,y,z -1 { m'100 | 0 1/4 1/4 }
8 x+1/4, -y, z+1/4, -1
mx,-my,mz
(
   1   0   0   1/4
   0  -1   0    0
   0   0   1   1/4
)'
 d (1/4,0,1/4) x,0,z -1 { m'010 | 1/4 0 1/4 }
9 x, y+1/2, z+1/2, +1
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 }
10 -x+3/4, -y+1/4, z+1/2, +1
-mx,-my,mz
(
  -1   0   0   3/4
   0  -1   0   1/4
   0   0   1   1/2
)
 2 (0,0,1/2) 3/8,1/8,z +1 { 2001 | 3/4 1/4 1/2 }
11 -x, -y+1/2, -z+1/2, +1
mx, my, mz
(
  -1   0   0    0
   0  -1   0   1/2
   0   0  -1   1/2
)
 -1 0,1/4,1/4 +1 { -1 | 0 1/2 1/2 }
12 x+1/4, y+3/4, -z+1/2, +1
-mx, -my, mz
(
   1   0   0   1/4
   0   1   0   3/4
   0   0  -1   1/2
)
 d (1/4,3/4,0) x,y,1/4 +1 { m001 | 1/4 3/4 1/2 }
13 x, -y+1/4, -z+1/4, -1
-mx, my, mz
(
   1   0   0    0
   0  -1   0   1/4
   0   0  -1   1/4
)'
 2 x,1/8,1/8 -1 { 2'100 | 0 1/4 1/4 }
14 -x+3/4, y+1/2, -z+1/4, -1
mx, -my, mz
(
  -1   0   0   3/4
   0   1   0   1/2
   0   0  -1   1/4
)'
 2 (0,1/2,0) 3/8,y,1/8 -1 { 2'010 | 3/4 1/2 1/4 }
15 -x, y+3/4, z+3/4, -1
-mx,my,mz
(
  -1   0   0    0
   0   1   0   3/4
   0   0   1   3/4
)'
 d (0,3/4,3/4) 0,y,z -1 { m'100 | 0 3/4 3/4 }
16 x+1/4, -y+1/2, z+3/4, -1
mx,-my,mz
(
   1   0   0   1/4
   0  -1   0   1/2
   0   0   1   3/4
)'
 d (1/4,0,3/4) x,1/4,z -1 { m'010 | 1/4 1/2 3/4 }
17 x+1/2, y, z+1/2, +1
mx,my,mz
(
   1   0   0   1/2
   0   1   0    0
   0   0   1   1/2
)
 t (1/2,0,1/2) +1 { 1 | 1/2 0 1/2 }
18 -x+1/4, -y+3/4, z+1/2, +1
-mx,-my,mz
(
  -1   0   0   1/4
   0  -1   0   3/4
   0   0   1   1/2
)
 2 (0,0,1/2) 1/8,3/8,z +1 { 2001 | 1/4 3/4 1/2 }
19 -x+1/2, -y, -z+1/2, +1
mx, my, mz
(
  -1   0   0   1/2
   0  -1   0    0
   0   0  -1   1/2
)
 -1 1/4,0,1/4 +1 { -1 | 1/2 0 1/2 }
20 x+3/4, y+1/4, -z+1/2, +1
-mx, -my, mz
(
   1   0   0   3/4
   0   1   0   1/4
   0   0  -1   1/2
)
 d (3/4,1/4,0) x,y,1/4 +1 { m001 | 3/4 1/4 1/2 }
21 x+1/2, -y+3/4, -z+1/4, -1
-mx, my, mz
(
   1   0   0   1/2
   0  -1   0   3/4
   0   0  -1   1/4
)'
 2 (1/2,0,0) x,3/8,1/8 -1 { 2'100 | 1/2 3/4 1/4 }
22 -x+1/4, y, -z+1/4, -1
mx, -my, mz
(
  -1   0   0   1/4
   0   1   0    0
   0   0  -1   1/4
)'
 2 1/8,y,1/8 -1 { 2'010 | 1/4 0 1/4 }
23 -x+1/2, y+1/4, z+3/4, -1
-mx,my,mz
(
  -1   0   0   1/2
   0   1   0   1/4
   0   0   1   3/4
)'
 d (0,1/4,3/4) 1/4,y,z -1 { m'100 | 1/2 1/4 3/4 }
24 x+3/4, -y, z+3/4, -1
mx,-my,mz
(
   1   0   0   3/4
   0  -1   0    0
   0   0   1   3/4
)'
 d (3/4,0,3/4) x,0,z -1 { m'010 | 3/4 0 3/4 }
25 x+1/2, y+1/2, z, +1
mx,my,mz
(
   1   0   0   1/2
   0   1   0   1/2
   0   0   1    0
)
 t (1/2,1/2,0) +1 { 1 | 1/2 1/2 0 }
26 -x+1/4, -y+1/4, z, +1
-mx,-my,mz
(
  -1   0   0   1/4
   0  -1   0   1/4
   0   0   1    0
)
 2 1/8,1/8,z +1 { 2001 | 1/4 1/4 0 }
27 -x+1/2, -y+1/2, -z, +1
mx, my, mz
(
  -1   0   0   1/2
   0  -1   0   1/2
   0   0  -1    0
)
 -1 1/4,1/4,0 +1 { -1 | 1/2 1/2 0 }
28 x+3/4, y+3/4, -z, +1
-mx, -my, mz
(
   1   0   0   3/4
   0   1   0   3/4
   0   0  -1    0
)
 d (3/4,3/4,0) x,y,0 +1 { m001 | 3/4 3/4 0 }
29 x+1/2, -y+1/4, -z+3/4, -1
-mx, my, mz
(
   1   0   0   1/2
   0  -1   0   1/4
   0   0  -1   3/4
)'
 2 (1/2,0,0) x,1/8,3/8 -1 { 2'100 | 1/2 1/4 3/4 }
30 -x+1/4, y+1/2, -z+3/4, -1
mx, -my, mz
(
  -1   0   0   1/4
   0   1   0   1/2
   0   0  -1   3/4
)'
 2 (0,1/2,0) 1/8,y,3/8 -1 { 2'010 | 1/4 1/2 3/4 }
31 -x+1/2, y+3/4, z+1/4, -1
-mx,my,mz
(
  -1   0   0   1/2
   0   1   0   3/4
   0   0   1   1/4
)'
 d (0,3/4,1/4) 1/4,y,z -1 { m'100 | 1/2 3/4 1/4 }
32 x+3/4, -y+1/2, z+1/4, -1
mx,-my,mz
(
   1   0   0   3/4
   0  -1   0   1/2
   0   0   1   1/4
)'
 d (3/4,0,1/4) x,1/4,z -1 { m'010 | 3/4 1/2 1/4 }

Go to the list of the Wyckoff Positions of the Group Fd'd'd (#70.530)
Go to the Systematic Absences for the Group Fd'd'd (#70.530)

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