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General Positions of the Group R3c' (#161.71)
161.71 R3c' (UNI symbol)

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: R3c' (#161.3.1302)

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 -y, x-y, z, +1
-my,mx-my,mz
(
   0  -1   0    0
   1  -1   0    0
   0   0   1    0
)
 3+ 0,0,z +1 { 3+001 | 0 }
3 -x+y, -x, z, +1
-mx+my,-mx,mz
(
  -1   1   0    0
  -1   0   0    0
   0   0   1    0
)
 3- 0,0,z +1 { 3-001 | 0 }
4 -x+y, y, z+1/2, -1
-mx+my,my,mz
(
  -1   1   0    0
   0   1   0    0
   0   0   1   1/2
)'
 c x,2x,z -1 { m'100 | 0 0 1/2 }
5 -y, -x, z+1/2, -1
-my,-mx,mz
(
   0  -1   0    0
  -1   0   0    0
   0   0   1   1/2
)'
 c x,-x,z -1 { m'110 | 0 0 1/2 }
6 x, x-y, z+1/2, -1
mx,mx-my,mz
(
   1   0   0    0
   1  -1   0    0
   0   0   1   1/2
)'
 c 2x,x,z -1 { m'010 | 0 0 1/2 }
7 x+2/3, y+1/3, z+1/3, +1
mx,my,mz
(
   1   0   0   2/3
   0   1   0   1/3
   0   0   1   1/3
)
 t (2/3,1/3,1/3) +1 { 1 | 2/3 1/3 1/3 }
8 -y+2/3, x-y+1/3, z+1/3, +1
-my,mx-my,mz
(
   0  -1   0   2/3
   1  -1   0   1/3
   0   0   1   1/3
)
 3+ (0,0,1/3) 1/3,1/3,z +1 { 3+001 | 2/3 1/3 1/3 }
9 -x+y+2/3, -x+1/3, z+1/3, +1
-mx+my,-mx,mz
(
  -1   1   0   2/3
  -1   0   0   1/3
   0   0   1   1/3
)
 3- (0,0,1/3) 1/3,0,z +1 { 3-001 | 2/3 1/3 1/3 }
10 -x+y+2/3, y+1/3, z+5/6, -1
-mx+my,my,mz
(
  -1   1   0   2/3
   0   1   0   1/3
   0   0   1   5/6
)'
 g (1/6,1/3,5/6) x+1/4,2x,z -1 { m'100 | 2/3 1/3 5/6 }
11 -y+2/3, -x+1/3, z+5/6, -1
-my,-mx,mz
(
   0  -1   0   2/3
  -1   0   0   1/3
   0   0   1   5/6
)'
 g (1/6,-1/6,5/6) x+1/2,-x,z -1 { m'110 | 2/3 1/3 5/6 }
12 x+2/3, x-y+1/3, z+5/6, -1
mx,mx-my,mz
(
   1   0   0   2/3
   1  -1   0   1/3
   0   0   1   5/6
)'
 g (2/3,1/3,5/6) 2x,x,z -1 { m'010 | 2/3 1/3 5/6 }
13 x+1/3, y+2/3, z+2/3, +1
mx,my,mz
(
   1   0   0   1/3
   0   1   0   2/3
   0   0   1   2/3
)
 t (1/3,2/3,2/3) +1 { 1 | 1/3 2/3 2/3 }
14 -y+1/3, x-y+2/3, z+2/3, +1
-my,mx-my,mz
(
   0  -1   0   1/3
   1  -1   0   2/3
   0   0   1   2/3
)
 3+ (0,0,2/3) 0,1/3,z +1 { 3+001 | 1/3 2/3 2/3 }
15 -x+y+1/3, -x+2/3, z+2/3, +1
-mx+my,-mx,mz
(
  -1   1   0   1/3
  -1   0   0   2/3
   0   0   1   2/3
)
 3- (0,0,2/3) 1/3,1/3,z +1 { 3-001 | 1/3 2/3 2/3 }
16 -x+y+1/3, y+2/3, z+1/6, -1
-mx+my,my,mz
(
  -1   1   0   1/3
   0   1   0   2/3
   0   0   1   1/6
)'
 g (1/3,2/3,1/6) x,2x,z -1 { m'100 | 1/3 2/3 1/6 }
17 -y+1/3, -x+2/3, z+1/6, -1
-my,-mx,mz
(
   0  -1   0   1/3
  -1   0   0   2/3
   0   0   1   1/6
)'
 g (-1/6,1/6,1/6) x+1/2,-x,z -1 { m'110 | 1/3 2/3 1/6 }
18 x+1/3, x-y+2/3, z+1/6, -1
mx,mx-my,mz
(
   1   0   0   1/3
   1  -1   0   2/3
   0   0   1   1/6
)'
 g (1/3,1/6,1/6) 2x-0.5,x,z -1 { m'010 | 1/3 2/3 1/6 }

Go to the list of the Wyckoff Positions of the Group R3c' (#161.71)
Go to the Systematic Absences for the Group R3c' (#161.71)

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